diff --git "a/data/dm_maths/full_data/10469_11255.jsonl" "b/data/dm_maths/full_data/10469_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10469_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 4, what is 111320 + 10300012?\nAnswer: 11011332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -75, -63, -35, 15, 93, 205, 357?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -11.5. Suppose 19 = 5*r - 4*h, h = 3*h + 2. Let s = -13\/4 + r. What is the biggest value in s, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4971*l - 14624*l + 4744*l - l**2 + 4909*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -849224 times 53.6?\nAnswer: -45518406.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -404 - -283. Let u be 0 + -259 + -2 + 0. Let n = d - u. Is n a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21764026.\nAnswer: 2, 23, 53, 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/7865 and -43\/12870?\nAnswer: 141570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03246 rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/84 + 1 + (-5)\/42. Let y(b) be the second derivative of 0 - 3*b + v*b**3 + 3\/2*b**2. Determine y(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 3:27 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/27 + (-6)\/(-27). Let t = 64 + -131\/2. Let p = 1\/15 - -19\/15. What is the nearest to y in t, p, 2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g**2 - 359*g - 75*g**2 + 29*g**2 + 27*g**2.\nAnswer: g**2 - 359*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*((sqrt(130)*1)\/sqrt(10) - sqrt(13)) + sqrt(26)\/sqrt(2) + 2 + sqrt(1872) + -1)**2 + 4.\nAnswer: 26*sqrt(13) + 2207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10869 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 + -3.27. Let c = -2.2 - n. What is the closest to c in 1\/4, 3, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8776*-0.0552.\nAnswer: -484.4352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -10. Let o be ((-3)\/(-1))\/(1 + -2). What is the closest to b in 2\/13, o, 0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(4 - 4 + i) - 5 + 5 + 7*i - i + 0*i + 3*i + (-2*i + 2*i + 2*i)*(3 - 7 + 2) - 37 - 26*i + 37.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -350, -1494, -3438, -6212, -9846, -14370, -19814, -26208?\nAnswer: -33582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -341225, 2, -9, -5 in descending order.\nAnswer: 2, -5, -9, -341225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in -4\/3, -1\/2, 1, -0.048?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/3, -4, 8.7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 481 = -4*j, 114 = -5*j + 6*j + 2*s. Let i = j + -129. Let h(w) = w**3 + 5*w**2 - w + 6. What is h(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.4 + -7.6. Which is smaller: r or -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)\/b*(b*b*b**(2\/5))\/b)\/(b\/b**2)**10 assuming b is positive.\nAnswer: b**(203\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 3 - 1 + 5.\nAnswer: 2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1 - (-3 - -1)). Suppose 3*b = d - z*d + 34, -5*d + 58 = 4*b. What is the lowest common multiple of 14 and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6. Solve p*r = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y = -13*y + 115 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18235667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8675997 + 8658515.955. Let q = s + 17297.04377. Let n = q - -184. Round n to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 + 17*d + 14. Let m be j(-5). Let t = 0 + m. Solve 0 = -t*i + 12, -g + 6*g = -5*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000011010010010001 (base 2) to base 8\nAnswer: -3032221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 285 - 23. Let p = -111 + f. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 g when four letters picked without replacement from fgzyghysgyzszffz?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 125*i**2 + 235*i - 115.\nAnswer: 5*(i - 23)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8250)\/(-286) + -24 + -3*((-22)\/(-6) + -2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15778*y - 15944*y + 166 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from {d: 6, k: 1, v: 10}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 5*i**2 - 5*i + 2. Let w be n(3). What is the first derivative of 4 + h + 4 - w*h - h wrt h?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, f: 8}. Give prob of picking 3 v.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 399269711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -70, -3, 1, 2 in increasing order.\nAnswer: -70, -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwgx when four letters picked without replacement from wggxgwggwgwgwwggg.\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424403 is divided by 90.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 220802027077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -9036.\nAnswer: 6325.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 3*p**3 - 7*p**3)*(-20*p - 44*p - 1416 + 62*p).\nAnswer: 4*p**4 + 2832*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 11*w**2 - 2*w + 7. Let b be i(7). Is 3 a factor of b\/14 - (-2)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1103 + 1150. Solve -16*j - 17 = u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*f + 7 = 0, m + 10 = 3*m - 3*f. Let c = 20573909\/1794 - 68815\/6. Let v = 14\/13 + c. Is v at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -224, -29, 2, -5, -16, -2, -10.\nAnswer: -224, -29, -16, -10, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 38090*l - 114249. What is c(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6569 is divided by 106.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2439 > -2438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -1, -145 in decreasing order.\nAnswer: 4, -1, -5, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -25\/12*l**4 - 5*l**2 + 9\/4*l**5 + 7\/6*l**6 - 15\/2*l**3 - 8*l + 0. Solve x(q) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 11*y**2 + 7*y + 1. Determine a(10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3030002 - 204?\nAnswer: 3024243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 39*p**3. Let v(w) = 10*w**3. Determine -6*f(j) + 22*v(j).\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k - 3 + 7 - 4.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 5\/(2 - 3). Let l be -56*(-4)\/(-8)*j. Suppose -3 - l*o**3 - 4*o**5 + 282*o + 24*o**4 + 64*o**2 - 318*o + 11 = 0. Calculate o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. Let d = 57 + -4. Let k = -48 + d. Which is the second biggest value? (a) k (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42512, -87263, -132016, -176771?\nAnswer: -221528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4060 - 1907. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 13 = -51. Suppose 66*n = 80*n - 238. Let t(s) = n*s + a*s + 17*s - 55*s. Let v(r) = -19*r**2. Calculate t(v(o)).\nAnswer: 38*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**7\/42 + s**6\/6 - s**5\/4 - 5*s**4\/6 + 10*s**3\/3 + 3*s**2. Factor q(d).\nAnswer: -5*(d - 2)**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8034.4 take away -3279?\nAnswer: 11313.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4445*x**2 + 3050*x wrt x.\nAnswer: -8890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*o - 2*o**2 + 0*o**2 - 197*o + 299*o as m*o + l + a*o**2 and give m.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117 and 1665?\nAnswer: 21645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tal when three letters picked without replacement from {l: 3, a: 2, t: 7}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-1 + sqrt(475))*5 + (sqrt(475) - (sqrt(475) + (sqrt(475) + -2 - sqrt(475)) + 1)))*-1)**2 + 1.\nAnswer: -200*sqrt(19) + 11892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5 = -21, -4*f + 3*w + 20 = 0. What is the remainder when 7 is divided by -4 + f + (3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2891 = -4*k + q - 2889, 0 = -4*k - 3*q - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5165*h**2 + 872 + 6026 - 4019*h**2 wrt h?\nAnswer: -18368*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/4)\/((-333)\/(-888))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61747 - 61745. Factor -16\/5*k**j - 24\/5 + 4\/5*k**3 - 44\/5*k.\nAnswer: 4*(k - 6)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6 = d + 5, -4*d + 2*r + 12 = 0. Suppose 0 = -3*g + d*a + 40, 4*g + 2*a = 2*g. Suppose -g*s + 2*l = -54, 0 = -s + l - 2*l + 15. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**5\/20 + 3*k**4\/4 + 5*k**3\/3 + k**2\/2 - k + 183. Suppose d = 18 - 8. Determine t(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -544 + -132?\nAnswer: -676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0278264 litres?\nAnswer: 27.8264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.1 and 14?\nAnswer: 99.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1021347054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -1. Suppose 6 + 4 = -j*n. Calculate the remainder when 11\/2 + (-1)\/n is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2)*1*-2. Let k be 5 - (2 - (3 - 4)). Solve -r*h - 10 = k*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apgg. Give prob of sequence appp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/6 - -2) + (-65)\/(-15). Let c be j*-1 + (0 - -16). What are the prime factors of 19\/((-46)\/c - -4)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.26.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -8762085568794.\nAnswer: 8762085568797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v + v + 0 + 2 + (3 + 3 - 5)*(4*v + 2*v - 4*v) in the form c*v + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 472*p + 7300. Determine d(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5\/a**(4\/3))**(-47\/2) assuming a is positive.\nAnswer: a**(-517\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*j = -20. Suppose 0*b + 3*b = -3. Let i(p) = 2*p - 2. Let v(a) = a. Calculate b*i(y) + j*v(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-13)\/5 + -2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = 3*v, -v + 19 = 4*n - n. Suppose -2*r + n - 1 = 0. What is the third derivative of 3*y**4 + 7*y**r - 12*y**2 + y**2 wrt y?\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*t + 1321 = 0, -k = -612*t + 609*t - 1329. What is the greatest common factor of 816 and k?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.14122877 - 0.05748123. Let t = 301.2 - 272. Let y = n + t. What is y rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1946228659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -d - a + 8, d = 2*a - 4. Solve 5*c + 20 = 2*p, -2*c + d*c - 8 = 2*p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + s - s.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118464897 is divided by 1986?\nAnswer: 1983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 26.07438 centimeters?\nAnswer: 0.2607438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13868316 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 824511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z - 12. Let a be w(11). Let y be 18\/132*a\/3. Let p = y + -36\/55. Sort -0.3, -2\/9, p.\nAnswer: -0.3, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x - 2. Let z be t(-4). Suppose -9*f + 12*f - z = 0. Suppose -3*o = -f + 3. Which is smaller: -2\/55 or o?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67958*q**2 - 42*q - 595?\nAnswer: 135916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -233155091*l - 265626684?\nAnswer: -233155091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*n**2 + 4*n**2 - 41*n**2 - 1)*(n**2 + 0*n**2 - 3*n**2) to b*n**4 + r*n**3 + l + w*n + f*n**2 and give b.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6699926 plus -6.26?\nAnswer: 6699919.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1983933256?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -240, -847, -1814, -3141?\n\"Answer: -180*n**2 - 67*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 5)*(-9 - 2 + 8)*(27*c + 18*c - 46*c)*(1 - 2 - 1) as j + n*c and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/10 + (-16)\/280. What is the nearest to 1\/2 in m, -5\/6, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(10\/13)*r)*r**(-11\/4))\/(r**7\/r*r*r**36) assuming r is positive.\nAnswer: r**(-2419\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iivlivlvvivvivii. What is prob of sequence lvli?\nAnswer: 7\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27942794*u**2 + 25141326*u.\nAnswer: 55885588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 79 = -137. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304423 plus -5299?\nAnswer: 1299124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 23\/52962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -339 divided by 3?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 6 + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -43*j. Let n(d) = 3*d - 36. Let f(g) = 4*g - 60. Let i(x) = 3*f(x) - 5*n(x). Determine s(i(t)).\nAnswer: 129*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 3*i**2 - 2*i + 3. Let n be p(-2). What is the units digit of 114\/n*40\/(4\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 1. Let v(x) = -10*x - 1. Let s(t) = -2*k(t) - 2*v(t). Let w(j) be the second derivative of j**4\/3 + 192*j. Determine w(s(d)).\nAnswer: 1296*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-15)*2\/((-184)\/69))\/(24\/(-12))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -9. Solve 0 = f - 0*s + x*s + 7, 0 = -3*f + 2*s + 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 28 - (25 - (29 - 6)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-26)\/3)\/(60\/(-81)) and (-2)\/(-7) - (-179)\/35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y + 19. Let g(n) = -2*n + 13. Let c be g(3). Let t be i(c). Solve -5*u + 16 = -k, 0 = -3*u - u + t*k - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -310 + 2?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.7 + 19.5. Which is the fourth smallest value? (a) -2\/3 (b) v (c) 1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5 - 1. Suppose -2*l - 5*h = -t*l + 14, -h = 5*l - 3. Is 20 a factor of -113*(1 + (l - 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r**3 + 2*r**2 + 51439*r + 284110?\nAnswer: -3*r**2 + 4*r + 51439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 - 2.92. Let h = m - -8. Suppose 0 = -5*g + 2*i - 8 - 9, -3*i = g. Sort -0.1, h, g in descending order.\nAnswer: h, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -16. Is h*((-39)\/2 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/(-19) - -14)*84\/(-5712)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 5 = -25 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**6\/120 - x**5\/10 - 5*x**4\/24 + 2*x**3\/3 + x**2. Suppose -8 = -4*u, m + 4*m + 2*u = -21. List the prime factors of h(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 31*j - j**2 + j**2 + 30*j. Let a(x) = -2*x**3 - 4*x**2 - x - 5. Let n(o) = -a(o) - 3*u(o). What is n(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 75 + 4*s + s + 0*s - 50 to the form x*s + u and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 165916286 divided by 6\nAnswer: 82958143\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (sqrt(1216) + 2)*5) + 4 + (sqrt(19) - (sqrt(19) + sqrt(171) + 1)) + 0)**2.\nAnswer: 490*sqrt(19) + 23324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4bb + -6?\nAnswer: 4b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-10) + 4 + 30\/(-25). Let o be y + 4 + 16\/4 + -9. Factor -2\/7*w + 0 - 9\/7*w**4 + 9\/7*w**o + 2\/7*w**3.\nAnswer: -w*(w - 1)*(w + 1)*(9*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900 is divided by 798?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 1. Suppose c*x - 60 + 15 = 0. What is the smallest common multiple of 11 and x?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 461939 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81624 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 - 142\/(-8). Suppose m - 4*m = v. Is -5 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*w + 123*w + 68*w + 32*w + 87*w.\nAnswer: 247*w","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 3. Suppose 9 = -5*b + 3*w, -18 = -5*b - 5*w - 3. Calculate z(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -3*g + 12, 3*g - 18*o + 3 = -20*o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1042134, -2084271, -3126412, -4168557, -5210706?\nAnswer: -6252859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/4*u**3 + 3\/4*u**4 + 0*u + 0 + 0*u**2 = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 + -124252?\nAnswer: -124210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65606?\nAnswer: 2, 32803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3*l - 3*k**3 + 103*k*l - 25*k - 7006*l + 370 wrt k.\nAnswer: 6*k**2*l - 9*k**2 + 103*l - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23674 is divided by 234?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 136, -19, -4, -23291, -1 in descending order.\nAnswer: 136, -1, -4, -19, -23291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*x**2 + 20*x**2 - 73*x**2 - 3*x**2 + 13*x**2 - 13*x**2.\nAnswer: -93*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 66. Calculate the remainder when y(-13) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6 = -4*n - 6, -n = -5*m - 16. Suppose f + 0*f - 2*c + 8 = 0, 0 = 5*f + 4*c - 16. Let b = f - m. Solve -l + b + 0 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djjddjd. What is prob of picking 2 j and 2 d?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4, 5\/4, -1, 2 in decreasing order.\nAnswer: 4, 2, 5\/4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59679211 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1276321 (base 11) to base 5.\nAnswer: -1031021042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 19089247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**3\/3 + 11*q**2\/2 + 7*q + 50. Determine m(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 + 4*z**3 - 2*z**3 + (2*z**2 + 3*z - 3*z)*(-4 + 4 + z) - 24*z + 24*z + 42*z**3 as j*z**2 + c*z**3 + u*z + n and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1619 - -113.2319. What is v rounded to zero decimal places?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x - 48 = -816. Suppose 12 = 2*o + 2*r, -3*r + 6 = -0. Suppose 3*m - 2*m - o = 0. What is the highest common divisor of x and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a*i - 68*a + 3991*i**4 + 2*i*x**2 - 6*x**2 - 12*x wrt i.\nAnswer: 3*a + 15964*i**3 + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2154 divided by 2?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 11*d**5\/2 + 3*d**3\/2 + 7*d**2\/2 + 55*d. What is the second derivative of i(m) wrt m?\nAnswer: 660*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2150 - -2149. Let n be 0 - (65773\/(-5770) - -1). Let a = n + 1\/1154. Calculate the common denominator of a and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10351, -9954, -9293, -8368, -7179?\nAnswer: -5726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51122*c**2 - 233739*c**2 - 207487*c**2.\nAnswer: -492348*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = 4*k. Suppose 4 + 1 = g + k*w, 41 = 4*g + w. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 2. Let f be c(11). Let s(p) = p**2 + 5*p + 23. Is s(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h + 10. Solve -h*d - 1 = 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, 1, 28, -46, 6 in increasing order.\nAnswer: -46, -14, 1, 2, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 10:49 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > -69950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1528 and 11907704.\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2. Let x = -19541 - -19545. Solve 0 = -x*r - 12 - l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-14) - (-9)\/21*5264\/(-846).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**8\/5040 - x**7\/2520 - x**6\/1080 + x**5\/360 - x**3\/6 + 4*x**2. Let c(s) be the first derivative of v(s). Factor c(n).\nAnswer: n*(n - 1)**2*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, r: 1, s: 2}. What is prob of sequence aars?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g**3 + 4*g - 3. Let l(t) = 4 + 5*t**2 - 5*t + 14*t**3 - 8*t**3 - 4*t**2. Determine 3*l(b) + 4*n(b).\nAnswer: -2*b**3 + 3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 + 137. Let -5*k - 3*k + 5*k**4 - k + k + 3*k**v - 10*k**3 - 20*k**2 = 0. What is k?\nAnswer: -2, -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m, -6 = -2*c - 0*c - 2*m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 72 + -61 + 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l + 0*l + 23*l**3 - l + 0*l**3 as b + a*l + f*l**3 + k*l**2 and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 1213344?\nAnswer: -1213345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12699.\nAnswer: 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 10983*f**4 - 845063*f**3 + 15799595*f**2 + 17651751*f + 167310 = 0. Calculate f.\nAnswer: -22\/21, -5\/523, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*o)*(10 + 15 + 0)*(-5 + 5 + 5*o).\nAnswer: -250*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 5. Suppose -y + m*y - 12 = -2*q, -4*y + 14 = 2*q. What is the third biggest value in q, 0.3, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 2:48 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11004 - 5835 = 110*k - 16501. Suppose 3*z = -l + 584, -2*z + 308 + 84 = -2*l. Which is bigger: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71159767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -307.999986306 + 308. Round w to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*a - 1030 + 237 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25575640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(4 + 0) + 0. Suppose c - 5 = -p*c. Suppose -c*r = -49 - 16. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 7:23 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let t(c) = 4*c. Let q(f) = -5*r(f) + t(f). Let s(v) = -6*v - 4. Let g = 35 - 36. Let i(n) = g*s(n) + 3*q(n). What is the derivative of i(l) wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**5\/60 + x**4\/12 + 21*x**3\/2 - 107*x**2. Calculate the lowest common multiple of p(0) and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10822, 10816, 10810?\nAnswer: 10804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -624.6 and -1.\nAnswer: -625.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8093 is divided by 2021.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 74\/10 + (-2)\/5. Suppose -2*i - c = -39, 49*c + 41 = 3*i + 54*c. Suppose -10*s - 72 = -i*s. Is a smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(833) - sqrt(17)) + sqrt(187)\/sqrt(99).\nAnswer: 19*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/648)\/(2\/12).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 20.7. Let j = o - -6.341. Let y = -0.04099899 + j. What is y rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 79 (c) 1\/6 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -269 + 10678*d**2 + 490 - 221 + (2*d + d - 4*d)*(-d - 2 + 2).\nAnswer: 10679*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/40 + (128\/(-40) - -4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4*f - 17, 3*k - 6 = -0*k + 3*f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/52 and -107\/28?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 9*a + 6. Suppose -4*x = 8, 3*j + x = -2*j - 37. Let f be h(j). Let u(n) = -6*n - 70. Let d be u(-11). Sort d, 3, -2, f in increasing order.\nAnswer: f, d, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -48*h + 20 + 46 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-21))\/((-2)\/6*-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**2 + 3*b - 1. Let i be h(5). Let w = -7 - -14. What are the prime factors of 2\/w - i\/(-14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v + 28*v - 114. Let x = -21 - -21.8. Which is the smallest value? (a) 0.6 (b) x (c) -1\/5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1216500 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 568 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5 + 1 + sqrt(275) + -2*1*sqrt(275))*-6)**2 + 4.\nAnswer: -4320*sqrt(11) + 22396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/38533669 or -1?\nAnswer: -2\/38533669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/((-44)\/(-6)). Suppose 2*q = 8 + 104. Suppose 2*i + 58 = q. Which is greater: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**3 - 112*n**2 - 147*n - 100. Let h be y(-36). Let g be (27\/2)\/((-3)\/(-16)). Calculate the highest common divisor of h and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 58*75\/296 - 2. Let l = g + 2\/37. Let d = -2943 + 20551\/7. Calculate the common denominator of d and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17340 - 17031. Calculate the remainder when x is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*s - z, 2*z + 27 = -6*s + 11*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739 is divided by 234.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(45\/(-6))*5\/(-10). Which is the second smallest value? (a) -0.1 (b) -0.88 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 183664*s - 2108279056.\nAnswer: -4*(s - 22958)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p = -88. Let n = p + 41. Calculate the highest common divisor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -625 + -4393. Let t = 5017.66061 + f. Let b = 0.34 + t. Round b to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228627 is divided by 37915?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o = -23*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 732 and 36?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**(4\/5))))**15)**(-11\/6) assuming u is positive.\nAnswer: u**(-99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713882 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02600614 + 0.026. What is y rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87133550 and 6266.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by 74\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 61309 rounded to the nearest 1000?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 50. Let g be ((-45)\/6 + 5)*-1*u. Let i(c) = -8*c - 5*c + g*c. Let f(j) = 2*j**2. What is f(i(h))?\nAnswer: 128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*10\/(180\/(-3)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1249249012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 1\/12*d**4 - 7\/2*d**2 - 1\/6*d**3 + 0 + 3*d. Suppose 3*t + k - 2 = -2*t, 0 = -3*t + k - 2. Give m(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -358 - -636. Calculate the remainder when h is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38045 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*i - 3*u - 9, -u - 6 = 4*i. Is 4\/11 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8593671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4502091 - 80088?\nAnswer: 4422003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3)*u**(-2\/3))\/(u**(-3\/5)\/(u*u**(2\/13))) assuming u is positive.\nAnswer: u**(82\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38122809 and 1.\nAnswer: -38122808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c**2 - 7*c. Let v(g) = -5*g**2 + 6*g. What is 2*b(k) + 3*v(k)?\nAnswer: -3*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169 (base 13) to base 12.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**3 - 18*h**2 + 64*h - 92. Calculate f(5).\nAnswer: -597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 462544005?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 27. Let s(q) = 9*q**2 - 7. Let k(w) = 5*w**2 - 4. Let d(o) = t*s(o) + 7*k(o). Let c(y) = -13*y. Calculate c(d(r)).\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2654 - 0.6?\nAnswer: -0.3346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 24 = -2*m, 5*m - 6*m + 5*p + 22 = 0. Let l(c) = 464 + m*c - 464. Let t(i) = 2*i**2. Calculate l(t(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1581 in -1\/8, 0.047, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 1. Let x(m) = 3*m**2 - 17*m - 6. Let q(t) = -2*a(t) - x(t). Let v be q(5). Solve 0 = 4*i + 8 + v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j - 219 - 5 = 235 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**3 + 33172*h**2 + 45793896*h - 153015120.\nAnswer: 2*(h + 2766)**2*(3*h - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 0 (c) -0.13 (d) -7 (e) -194 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 3:40 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p - 4 - 4. Sort p, -2, 2, 1 in descending order.\nAnswer: 2, 1, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170140 and 272224?\nAnswer: 1361120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31410 (base 7) in base 6?\nAnswer: 55513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 119 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5886403058 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 - 3*c + 3*c - c + c + 2*c**3 + (-c**2 + 0*c**2 - 5*c**2)*(-3*c + 3*c - 2*c) to t*c + y*c**2 + d*c**3 + m and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1371 + -2701. Round n to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - ((2 - -1)\/1 + -4). What is the derivative of 5*j**4 + 19 + j**4 + 7*j**4 + 7*j**f wrt j?\nAnswer: 80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 6, -0.1, -2547, 0.\nAnswer: -2547, -0.1, 0, 5\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10 = 0, 0*d + 48 = -4*z - 4*d. Calculate the common denominator of -83\/8 and 4\/z + (-1138)\/84.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1529 - 1085. Let u(b) = 1 + o*b**3 + 8*b - 3*b - 443*b**3 + 5*b**2. Calculate u(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 2)*((-51860)\/(-16) - -1). Let z = f + -7773. Suppose 0 = 5*k + 1261 - z. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-8) - (-629915)\/312. Let o = k + -1996. Calculate the common denominator of -71\/18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 8*f**5\/15 - 35*f**4\/24 + 42*f**2. Find the second derivative of z(j) wrt j.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 2*b + 4. Let v(k) = 2*k**2 + 5*k + 9. Suppose 9*x + 3240 = 27*x. Suppose 19*c = -11*c - x. Give c*v(l) + 13*z(l).\nAnswer: l**2 - 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 814320279 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 + 3*v + 3. Let s be d(-3). Let g(u) = -u**2 - s*u**3 + 3*u - 2*u + u**3 + 0 + 1. Let z = -610 + 609. What is g(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/23))\/q**(-2))**18 assuming q is positive.\nAnswer: q**(1278\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 12:08 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 10:40 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -9450*j**3 - 21111*j + 21111*j + (0 + 0 + j**2)*(-5*j - j + 4*j) as w*j + p + i*j**3 + h*j**2 and give i.\nAnswer: -9452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 o when three letters picked without replacement from dddaddddoadasad?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 a, and 1 c when four letters picked without replacement from {q: 5, l: 2, c: 1, a: 2, t: 10}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 163\/9 - 60\/54. Calculate the highest common factor of r and 459.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1041 - -1063. Let l(x) = -x**3 + 20*x**2 + 38*x + 137. What is l(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 464, 465, 466, 467?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*x - 55*x + 14 = -2*a, -2*x + 8 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6439923*3.2.\nAnswer: 20607753.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -11 + 22 - 17*c - 11. Let m(l) be the second derivative of l**4\/12 + 8*l. Give m(h(q)).\nAnswer: 289*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2380\/22 - 6\/33. Suppose -3*j + j + v = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**7*v*(v*v\/(v*v**(2\/3)\/v*v*v))\/v*v*v**(-3)\/v**(-2\/9) assuming v is positive.\nAnswer: v**(41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 7 + 4 - z**3 + 22*z to the form d*z + u + b*z**2 + o*z**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 13 - (9 - -2) - -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 9:08 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/52)\/((-27)\/54)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/44 + (-4 - 2576\/(-594)). Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25541 is divided by 297?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7755 + 155059\/20. Let c = -687\/2 - -360. Calculate the common denominator of c and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32743684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 5*n**2 - 4*n - 1. Let c be l(3). Let f(o) = 2 + o + o**3 - c*o + 2*o. Let g(q) = 3*q**3 - 5*q + 5. What is 10*f(t) - 4*g(t)?\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.2 or -65494?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4067473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 2\/3, -14\/3, -85, -0.02, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**6\/1440 + g**5\/240 - g**3\/18 - 17*g**2. Factor i(b).\nAnswer: -(b - 2)**2*(b + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/2321943 and 13\/73908?\nAnswer: 27863316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-10))\/(2\/40*1300\/(-25)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - -36 - (-2 - -6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1788 or -1791?\nAnswer: -1791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/3)\/(2\/(-2)). Is (-71 + -1)*-2 + b a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1.44463 nanograms?\nAnswer: 0.00144463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*x + 15, 0 = -5*j + j - 4*x - 20. Let z be (-5)\/(-2)*8\/j. Let a(v) = -v**3 - 5*v**2 + 5. Let c be a(z). Solve 2*f - 3 = -c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 + -61. Let j(r) = -3*r**2 - 12*r - 21. Let s(h) = -4*h**2 - 14*h - 22. Let q(t) = d*s(t) - 5*j(t). Give q(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 - 2 + 2)*(1 + 3 - 6) + 156 - 97 - 81 - 3*i**2 - 2*i + (3*i**2 - 3*i**2 - i**2)*(1 - 5 + 2) to the form v*i**2 + l + x*i and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/8 + (0 - -2). Factor 11*p - 11*p - 3*p**4 + p**r + 2*p**5.\nAnswer: 2*p**4*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21012 (base 3) to base 2.\nAnswer: 11000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, i: 1, x: 1}. What is prob of sequence ig?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*u - 10*u - 15*u)*(3*u - 5*u + 4*u) + 0*u**2 - 3*u**2 + 5*u**2 + (3 - 6 + 2)*(-2*u**2 - 2*u**2 + 2*u**2) - 7*u**2 - 13*u**2 + 24*u**2.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13629 or -13632?\nAnswer: -13632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 17*q - 19. Let r = -1312 - -1295. Calculate t(r).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 7, p: 3}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -27 + 49 + 3*i - 2*i + 3*i - 5*i. Is k(8) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from nnwjj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 7*g**5\/30 - 27*g**2 - 14*g. Let x(r) be the first derivative of -2*r**3 + 5. What is u(x(j))?\nAnswer: 504*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 299 - 100. Let m = l - 463. Let p = m + 263.999853. What is p rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*x + 5607 = 0, -4*c - 3*x + 22402 = -0*c. Suppose -17*z - 771 = -c. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 2*q**2 + 5*q + 8. Let v be g(0). Let h(c) = -c**2 + 7*c - 9. What is h(v)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 630 + 609. Solve 32 = q*f + 4*o, 0*o - o = 5*f - 25 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -56315, -56333, -56351, -56369, -56387, -56405?\n\"Answer: -18*c - 56297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o + 4. Suppose 5 = 4*i + 1. Let w be 1 + 0\/i + -1. Suppose w = 7*g - 2*g - y + 25, 3*g + 37 = 5*y. Let c(k) = 4*k - 5. Give g*c(z) - 5*u(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(539) + -2 + sqrt(539)*-1*6)**2.\nAnswer: 70*sqrt(11) + 13476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 449758343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1599 + -1599.3. What is the nearest to 0.2 in 3.52, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19383 + -19382. Is -6\/101 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q + 2. Let i(h) = h**3 - 6*h**2 + h - 2. Let v be i(6). Suppose z = -v - 0. What is the tens digit of a(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 15207.66.\nAnswer: -15207.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/29, -5, 3, 0.1, -483, 6, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48820 or -48818?\nAnswer: -48820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49642460239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64.3 - 101. Let k = o - -37. Suppose -4*z - 8 = 0, 2*z = 2*y + 3*y + 11. Which is the biggest value? (a) -10 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 7*j**3\/6 - 7*j**2\/2 - 3244*j. Let i(q) = -74*q**2. Determine n(i(x)).\nAnswer: -518*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 + 4*h - 2. Suppose 0 = -11*a - 3*a - 490. Let i be (-3)\/1*266\/(-21). Let j = a + i. Give u(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 27. Let a = 33 + k. Let q = a - 11.93. Is q > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 + 0.3. Let l = -2 + h. What is the second smallest value in -0.2, l, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225021859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 271 and -0.5?\nAnswer: -135.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125312944?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/8 + 3219687*q**2\/8 = 0.\nAnswer: 0, 3219687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/5 in 0.3, -2, 40?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -546*p - 16372. Let v be j(-30). Calculate the highest common divisor of v and 4252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -16. Solve -2*b - 26 = 4*n, 2*b - n - 9 = w*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5440.58911 to the nearest integer.\nAnswer: 5441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 1067*r**2 + 13 - 20.\nAnswer: 1067*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - -0.1. Let l = 70045 + -70045.06. Which is the closest to -1? (a) 4 (b) r (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(6 - (-3 - -14))\/(-5). Let s(i) be the third derivative of 0*i + 7*i**2 + 0 + 0*i**5 - 1\/20*i**6 + 1\/6*i**u - 1\/24*i**4. Calculate s(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 = -1. Let w = 15700 - 15357. Suppose -2*g = -5*s - w, 0*s = u*g + 5*s - 452. Calculate the remainder when g is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -2040a598?\nAnswer: 2040a597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120000 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 7. Let a(q) = q**3 - 5*q**2 + q + 7. Let i be a(5). Let t be p(i). Solve 5*d - t = 2*f + 3, -8 = -d + 4*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*a + 86*a + 49*a - 48*a to o + v*a and give v.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a decade in months?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a**2 + a - 3. Let n be x(-2). Suppose 0 = -4*m + n - 447. Let p = 43 - m. Is 37 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2169112494?\nAnswer: 2, 3, 37, 211, 46307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 6*w. Let k be f(4). Let y be (-1 + k)*(-20)\/4. Suppose 51 = 4*c - 21. What is the greatest common divisor of y and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 1097, 3608, 8435, 16334, 28061, 44372, 66023?\nAnswer: 93770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6776868*j**2 - 2723014*j**2 + 5332226*j**2.\nAnswer: 9386080*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = u + 4*i, 3*i - 22 = -4*u - 85. Let f = -14 - u. Solve 4*d + 9 = 5*a, -f*d + 3*a = 4*a + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4855 rounded to 2 dps?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 9 = 4*g. Suppose -r - 6 = 3*q - 0, -g*r - q = -6. Solve t - r*t - 8 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = 4*l - 625. Let o be (5\/(-20))\/(l\/16). Let c = o + -167\/114. Sort -4\/3, c, -0.4 in descending order.\nAnswer: -0.4, -4\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9938, -20462, -31600, -43358, -55742?\n\"Answer: -v**3 - 301*v**2 - 9614*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lllj when four letters picked without replacement from {l: 2, g: 2, j: 1, v: 1, f: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 34, 199, 4, -5, -2.2, -1\/2, 3?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 - 2*h**2 + 2*h**2 + (6*h**3 - 2*h**3 - 2*h**3)*(3 + 1 - 2) - 46*h**2 + 46*h**2 - 38*h**3.\nAnswer: -32*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.5 (c) -3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1642, -1623, -1600, -1573, -1542, -1507?\nAnswer: -1468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -12*u**2 - u - 5. Let c be a(3). Let k = -78 - c. What is the remainder when 112 is divided by k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4 + 18\/5 - 28\/5*m**2 + 4\/5*m**3 - 6\/5*m + 2\/5*m**5 = 0. Calculate m.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 154422374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j. Let f(o) = -3*o - 434. Determine n(f(v)).\nAnswer: -6*v - 868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-208)\/(-91) + 4\/(-14). Let n(b) be the second derivative of -1\/20*b**5 + 0 + 1\/4*b**4 + 2*b - 1\/2*b**3 + 1\/2*b**h. Give n(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*k - 4*k + 2, -4*k + 2 = -2*a. Let x be a\/5 - (-380)\/25. Let n = x + 21. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -341 - -343. Suppose 3*x - 2943 = 3*u, -6*x + 3*x + o*u + 2944 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a day in hours?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 89*a + 30*a - 115*a. Let g(l) = l**2 - 25*l. Calculate i(g(m)).\nAnswer: 4*m**2 - 100*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*b - 20*b + 336. Suppose c = 5*c - b. Let k = -24 + c. Solve -3*y + k*y - 1 = i, 3*i - 4*y = -7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19272 = 13*p - 23537. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -8*h**3\/3 + 5*h**2\/2 - 9*h + 3554. Give t(3).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 18*m + 255 = 0. Calculate the highest common divisor of 255 and m.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -49*d**3 + 5*d + 52*d**3 - 5*d**2 + 4*d**3 + 3. Suppose -18 = -4*c + 2. Let l(b) = -8*b**3 + 6*b**2 - 6*b - 4. Give c*l(y) + 6*u(y).\nAnswer: 2*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**3. Let a(j) = j**3. What is -12*a(r) - 2*d(r)?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89950267 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 2*c**2 - 4*c + 17. Let s be b(-5). Solve 107*n + 25 = s*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19225430 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/10*(1 + 4)*-6. Let o be ((-96)\/(-30) - 4)*3\/a. What is the nearest to 0.1 in 1\/3, 2\/11, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, 5, -30?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 28 (b) -1 (c) 4 (d) 3.31 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/24 - 6\/(-18). Let p = s + -31\/36. What is the smallest value in -1, -2\/11, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (213\/284)\/(324\/(-17712))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -12 + 3*n + 22*n - 28*n. Let m be w(2). Are -18 and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 416 (base 9) to base 15\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 0, 0.03, 0.2, -0.1 in decreasing order.\nAnswer: 0.2, 0.03, 0, -0.1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4 - 0. Let q = k + 4. Let d = 2 - 1. Solve 4 - d = -q*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.0902 (b) 0.02 (c) -16\/219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*t - 35*t + 203861 = 1378136. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-21)*147\/14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1703 and 8515.\nAnswer: 8515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -158 - -160. Find the second derivative of 66*j + 4 + 23*j**o - 4 + 41*j**2 wrt j.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o + 1447*o + 224*o = 27248 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 7:44 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.91 + 0.09. Let v = 644 - 3223\/5. Put v, -0.04, m in ascending order.\nAnswer: v, -0.04, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-116)\/(-2900))\/((-1)\/(-5))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131773 - 86782. What are the prime factors of z?\nAnswer: 3, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + -1 + (-2 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(130)*1 + sqrt(130) + sqrt(130) + sqrt(130)) + sqrt(130) + sqrt(130))\/((sqrt(40) + sqrt(10))*2).\nAnswer: 7*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3 - -1) + 38. Let y = k + 26. Suppose 6*f = -3*r + f + y, -3*r - 2*f = -54. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 2)*(-14)\/3. Let k be 2*9*u\/273. Factor -2\/13*s**2 - k + 14\/13*s.\nAnswer: -2*(s - 6)*(s - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2 - 519*b**4 - 318*b**4 - 175*b**3 + 173*b**3 + 20 - 95 wrt b?\nAnswer: -20088*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43)\/(-258))\/((-7)\/4)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 4*l - 3. Let d be i(-5). Suppose 3*b = 2*b - 3*n + 12, 4*b - 2*n = -8. Solve d*k - 6 = b, 3*a - a + k + 1 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/408 + 71\/1224. What is the common denominator of 515\/(-14)*1\/(-5) and h?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - q**2 + q. Let g(r) = -5*r**3 + r**2 + 8*r - 1. Let z(a) = -6*f(a) + g(a). Is z(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 807, 808, 809, 810, 811, 812?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**8\/168 + y**7\/105 - 43*y**5\/60 + y**3\/3 - y**2 - 13*y. What is the third derivative of x(k) wrt k?\nAnswer: 120*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/3040 and 99\/64448?\nAnswer: 322240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l - 1, -5*v + 23 = 3*l. Let q(c) = -c**2 + 6*c + 4. What is the tens digit of q(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 229, 5, -51 in descending order.\nAnswer: 229, 5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 408717887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 29, 63, 131, 245, 417, 659?\nAnswer: 983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 + 67. What is the second smallest value in 1\/4, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-3)\/6 - -2. Let z be (-32)\/6*(79 - r). Let j = 3 - z. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + 8b?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 4:00 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 2, w: 1}. What is prob of picking 1 i and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -195*-27\nAnswer: 5265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103 + 633 + 906 + 671 - 117)*(-4*j**2 + 3 - 3).\nAnswer: -7960*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -56. Suppose 0 = 5*q - 3*o - 16, -9 - 1 = y*o. Is 2 a factor of q - 6 - (-17 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-12)\/(-72)*15)\/(4\/(-16))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98703603 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7))**25 assuming o is positive.\nAnswer: o**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 4*p**2 + 4*p. Let c be f(2). Suppose c = n + 13 - 8. Let h be (-1)\/n - 171\/380. Is -1\/3 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 8*y + 0*y + 433 - 436. Give h(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 798 and 5086326?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 31*s**2 - 17*s - 66. Let i be o(-5). Suppose 3*q - i = 6*z - 2*z, q + 4*z = 254. List the prime factors of q.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = f - 240. Let u(r) = -2*r + 3 - 2 + f*r**2 + 0. List the prime factors of u(1).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -807*j**2 - 3020*j - 2809. What is o(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (52 - -6)*1\/2 is divided by (-4 - 0)\/(-2) + 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 2. Let k be u(1). Let j = 296.1 + -296. Let t = 257\/165 - -6\/55. Which is the nearest to j? (a) t (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 1\/2*i**2 + 0 + 6*i + 1\/72*i**4 + 5\/36*i**3. Factor h(z).\nAnswer: (z + 2)*(z + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/137 or 1?\nAnswer: 3\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 17*v**5 - 4*v**2 + 10*v + 4. Let i(c) = -18*c**5 + 5*c**2 - 11*c - 5. Let q(g) = -4*i(g) - 5*j(g). What is the second derivative of q(n) wrt n?\nAnswer: -260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7369 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 442759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 9*j + 29*j)*(0*j**3 + 2*j**4 + 0*j**3).\nAnswer: 74*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (26 - 18 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 126.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/17)*(g**36*g*g*g)\/g*(g**24\/g*g)**(-15) assuming g is positive.\nAnswer: g**(-5476\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**2 - 4411*f - 185195. What is s(-838)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60742.41 + 60331. Let o = p - -410. Round o to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 5959654?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - -15) + 0 + 12 + 14 + (-5 - 55).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(1760\/(-128))*(-1 + 6\/1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 344266, 344258, 344252, 344248, 344246?\nAnswer: 344246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/677796 and 19\/21.\nAnswer: 677796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002 is divided by 227.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 604270 (base 10) in base 11?\nAnswer: 382aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 652.44 - 586.5. Round a to zero decimal places.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2 - z**2 + 4*z**2 - 2. Let r(h) be the first derivative of h**2 + 2. What is y(r(w))?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 823337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 3*z + (-2*z - z + 2*z)*(-3 + 5 + 1) to the form a + l*z and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/80*1\/1*7.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1148, 1141, 1120, 1079, 1012, 913, 776, 595?\n\"Answer: -g**3 - g**2 + 3*g + 1147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 419130203*v**2 + 68009107?\nAnswer: 838260406*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 + 149. Suppose -4*u = -4*z - 76, 0*u = 5*u - 2*z - 80. Calculate the remainder when u is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 942 + -929. What is the remainder when 259 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 2*t + 8. Suppose -4*f - 48 = 2*f. What is the lowest common multiple of w(f) and 12?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 20951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, -0.5, 2, 1 in decreasing order.\nAnswer: 146, 2, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 7 (b) -5\/2 (c) 0.0325 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 2*y = 9*s - 0*s - 54, -257 = -4*s - 59*y for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/((4172\/(-21))\/149)?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/(-51) + (2 - 1). Let y be 1\/(-15) + 1\/(-3). Let k(g) = -2*g + 26. Let q be k(12). Which is the third biggest value? (a) q (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331574 a multiple of 462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 - 761824?\nAnswer: -761659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/3 - 25\/3*w**3 - 28\/3*w - 8\/3*w**4 - 1\/3*w**5 - 38\/3*w**2 = 0. Calculate w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 9706, 0.3, 3, 1.26?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blqu when four letters picked without replacement from ubbqbblcc.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from xwgxk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*y - 4*u, -2*y + u = 5 + 1. Let s be -188 + (8 - 18\/9). Let b be ((-156)\/s)\/(2\/(-14)). Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 121\/3*v + 241\/3*v**2 + 119\/3*v**3 - 1\/3*v**4 = 0. Calculate v.\nAnswer: -1, 0, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/7, 2, 0.01, -1, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 6:10 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1240020 (base 5) to base 8\nAnswer: 57501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4036 by -1009.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 39.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*i**3 - 11*f**3*i**2*y**2 - f**3*i**2 + 18*f**3*y - 2*f*i**2*y**2 + 786*i**3*y**2 - 6*i**3*y wrt i.\nAnswer: -6*f**3 + 4716*y**2 - 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004458 rounded to 7 decimal places?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (1 + -4) - 1) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a68695 (base 11) to base 4.\nAnswer: 122302332011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 13) to base 15.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 44*m - 340. What is the least common multiple of j(30) and 14?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -7 - 8. Let b be m\/(-4) - (-2)\/(-8). Let f(o) = 0 + 0 + 1 - 4*o + o. Give f(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:29 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1344\/294*14\/(-4))\/6\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.16, -161497, -2\/9, 4.\nAnswer: -161497, -4, -2\/9, -0.16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 284 (base 13) to base 15\nAnswer: 1eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5926.759381 to the nearest 10.\nAnswer: -5930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o*o*o**(1\/8)*o)*o)*o*o*o**(-4\/13)*(o**(1\/4)\/o)\/o**8)**46 assuming o is positive.\nAnswer: o**(-9407\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -890701811 or -890701812?\nAnswer: -890701811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48735\/13 - -3749. Which is the second smallest value? (a) -1 (b) 2 (c) -0.2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6443\/6420 + 20\/107. Find the common denominator of (-499)\/210 + 8\/56 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -24*y**3 + 5*y**2 + 9*y + 13. What is g(3)?\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98884469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cffccuc. What is prob of picking 1 u, 2 f, and 1 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -1.7. Let t = 8 + -6. Let g be (80\/12 - 3) + (-43470)\/12474. Which is the closest to t? (a) 0 (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4094 - -6028. Let w be -4 + l\/3 + 20\/(-30). Suppose n - 9*n + w = 0. What is the greatest common factor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 7*z = -13*z - 10*z + 70, -4*s + 2*z - 20 = -z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 - -74. Put y, 3\/5, 3, 1\/7 in ascending order.\nAnswer: y, 1\/7, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333231 - 11?\nAnswer: -333302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156.14, -0.3, -25, 8 in decreasing order.\nAnswer: 156.14, 8, -0.3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, b: 11}. Give prob of picking 3 b and 1 w.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-17) + 42872\/(-7820). What is the second smallest value in -5, 1\/2, 1, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**3 - 2*m**2 + 7*m + 1. Let q(l) be the second derivative of -3*l**5\/20 + l**4\/6 - 5*l**3\/6 + 8*l + 3. Let y(t) = 2*k(t) + 3*q(t). Give y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/11 + ((-918)\/90 - 1\/(-5)). Sort 0, a, 61 in ascending order.\nAnswer: a, 0, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 985*t**3 + 3*t**2 + 3*t - 1639. Let p(i) = -2955*i**3 - 8*i**2 - 8*i + 4912. Let g(r) = -3*p(r) - 8*q(r). Differentiate g(m) wrt m.\nAnswer: 2955*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 2 + 4 + 264*c**2 + 2*c**3 - 264*c**2 to the form f*c + g*c**3 + r*c**2 + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15586 times 1127\nAnswer: -17565422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**7\/350 - 11*n**5\/100 + 9*n**4\/20 - 4*n**3\/5 - 6*n**2 + 3*n. Factor i(o).\nAnswer: 3*(o - 2)*(o - 1)**2*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223124 - -14230?\nAnswer: 242404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 600944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*k + 2*k + 30*k**5 - 57*k**5 wrt k.\nAnswer: -540*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9631*g**2*l**3 - 4*g**2*t + 2*g*l**3*t - 4*g*l*t - g*t + 10*l**3*t + 4*l**3 - 3 wrt g?\nAnswer: 19262*l**3 - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 47*y - 752. Calculate the remainder when 94 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 219 + -27 + 22 + -25.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1610*t**5 - 17*t**4 - t**3 + 4*t**2 + 214606*t wrt t?\nAnswer: 96600*t**2 - 408*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 130?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -1 (c) -2\/25 (d) 3 (e) -791\/8 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159\/2 or 80?\nAnswer: 159\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310812 is divided by 105.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 10*t - 75*t**3 + 76*t**3 - t.\nAnswer: t**3 - 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 12:12 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -4 - 3)\/((-1)\/(-8)). Let h = p - -34. Let m(r) = -2*r**2 - r - 2. Calculate m(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243950772\/6318 - (-6)\/(-243) a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 + 26*u + 288\/11.\nAnswer: -2*(u - 144)*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -565*h + 572*h + 56 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 2400?\nAnswer: 2385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117 + -226. Let v = x + 109.0000379. Round v to six decimal places.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 42253?\nAnswer: -42254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 6)*(2 - 5*w - 2)*(-29*w - 48*w - 15*w).\nAnswer: -2300*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/104 - -5\/26. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-4*-3)\/(sqrt(150) + (sqrt(150) + (3*sqrt(150) - sqrt(150)) - sqrt(150)) - sqrt(6)) - (2 + (sqrt(119)*-2*4)\/(-2*sqrt(567))))**2.\nAnswer: -104*sqrt(17)\/63 + 27368\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/4)\/(1\/2). Suppose 0 = 55*o - 47*o - 16. Let z(m) = 9088 - 4545 + o*m**2 - 4540 + 6*m - m**2. Give z(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -104, -9166, 1 in descending order.\nAnswer: 13, 1, -104, -9166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/96 and -121\/48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v. Suppose -y = -4*j + 3*y - 20, -3*j + y - 7 = v. Let q be j*(-6)\/9*3. Solve -3 = -q*o + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12687 + 1?\nAnswer: -12686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147 + 1616\/11. Let t = i + -19\/33. Which is the nearest to t? (a) 5 (b) 10 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-96)*(-6)\/(-21)*24\/(-21).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(-32)\/(((y*y**(-1\/4))\/y)\/(y*(y**(-13)*y)\/y*y)) assuming y is positive.\nAnswer: y**(-171\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75*v**3 - 17*v**2 - 5024*v wrt v.\nAnswer: 450*v - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 574\/(-820)*50\/(-14). What is the third biggest value in -1\/7, 104, j?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1023 - -929) + (-60 - -6).\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.753 - 0.753. Which is the closest to -7? (a) 1 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1460466?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541651582 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-3 - 1 - -2). Is (4\/(-2))\/a*-293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 1 (c) 2 (d) 144 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**23*f*f)\/f)\/f**(-14) assuming f is positive.\nAnswer: f**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*v + 160. Suppose -5*d - 14 = 5*t - 4, -4*d + 4*t - v = 0. Let i(x) = -3*x. Calculate the remainder when 35 is divided by i(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1827 and 8493723.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2234851 and 1132?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + (-2 - -1 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 5*d + 13 - 58, -4*b + d + 24 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**7\/l**(2\/7)*l*l**(2\/7)\/l*l**2)**(-1\/34))**(-23) assuming l is positive.\nAnswer: l**(207\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3419, 3235, 2729, 1739, 103, -2341, -5755, -10301?\nAnswer: -16141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o + 17. Let h be q(-4). Let f = 10.5 - -1.5. Let s = f + -11.5. Which is the biggest value? (a) -1 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308755?\nAnswer: 5, 61751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**2 - 41*o - 335. What is the remainder when w(-7) is divided by 70?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-58 - (-5 + 3))*-1 and 70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - -0.05. Let g = -3634\/5 + 726. What is the nearest to i in 4, g, -0.71, 2?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21051?\nAnswer: 3, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 32*m**2 - 4079*m + 2182. Give u(127).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a**2 + 5*a - a**3 + 4 + 1 + a + 1. Determine m(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21200700 to the nearest integer?\nAnswer: 4604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**2 + 10*h - 15. Let b be (3\/(-6))\/((-2)\/16). Suppose 71 = b*z - 1. Calculate the smallest common multiple of z and w(2).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 9 - 21. Suppose 0 = -2*w - 2 + 10. Suppose c*y = w*q - 20400000, -793505 + 5893505 = q - 4*y. What is q rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7380441 is divided by 2586?\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*s = -141*s + 1385407. Calculate the remainder when s is divided by 179.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g + 4. Let o(a) = 1 + 6*a + 6 - 2. Let h(u) = -4*o(u) + 5*q(u). Let v(s) = 1036*s + s**2 + 0*s**2 - 1036*s - 2. Give 2*h(j) + v(j).\nAnswer: j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/539, -4\/161, 3.5, -3?\nAnswer: -4\/161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -19 + 19 - r. Let d(k) = -24*k**2 + 3*k + 3. Let b(a) = 49*a**2 - 7*a - 7. Let y(w) = -3*b(w) - 7*d(w). Give y(f(j)).\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 0, 3, -0.1, -41, 735, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -14*r. Let j = -105 + 108. Let z(v) = v**3 + 4*v**2 - 4*v + 7. Let g be z(-5). Let u(k) = -2*k**2 - j*k**2 + 2*k**g + 2*k**2. Determine i(u(d)).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 8:53 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(572)\/(sqrt(1584)\/sqrt(4)))\/((sqrt(768) + -3*sqrt(768))\/sqrt(12)))**2.\nAnswer: 13\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/g**(1\/4)))**(1\/32)\/((g**(1\/3)*g)\/g)**1)**(-3) assuming g is positive.\nAnswer: g**(137\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 5*g + 21. Suppose 2*d + 2*k - 128 = -2*d, 0 = -5*k - g. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 5)*(9*v - 8*v - 15*v)*(9 - 35 + 38 + 205) to n*v + j and give n.\nAnswer: -15190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {d: 1, q: 2, z: 4, b: 1, f: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26023 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*g - 148764 = -244*g - 1874*g for g.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**2 - 10 + 14 - 3 - 12*t**2 as h*t + d*t**2 + i and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 1. Let j(o) = 5*o**2 - 5*o + 12. Let a(f) = 6*c(f) - j(f). Determine a(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d + 809364 = 12*q - 43*d, 4*q - 269788 = -4*d. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*h - 6*h. Suppose -h*m + 15 = m. Put m, 2, -3 in ascending order.\nAnswer: -3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1015 and 4496695?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-39)\/12)\/((-1)\/12). Let m = 44 - o. Solve 3*w + 4*s = -s - 16, -3*w + m*s + 4 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 40\/23 (c) -1 (d) 0.5 (e) 288 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 7898 + 26366 = 0. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*x + 29790 - 29790)*(0*x + 2 + 5*x - 3*x).\nAnswer: -126*x**2 - 126*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006429871 to 7 dps.\nAnswer: -0.0000643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2144 + -45552411?\nAnswer: -45550223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from rtrlrtwdwt.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 83 and -20.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 + -37. What is the least common multiple of 245\/w - 3\/4 and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/14 - 12\/28. Let u = -1.3 + 1. Let t = u - -0.1. What is the third biggest value in 4, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178053488052 take away -0.097?\nAnswer: -178053488051.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 541179*o**3 + 2*o + 4090040 wrt o.\nAnswer: 1623537*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95587\/10 + -9547. Calculate the common denominator of -39\/11 and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27446.21 to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**4*y - 3*o**4 - 380*o**3 - 7*o**2 - 171*o*y + 11*y wrt o?\nAnswer: -48*o*y - 72*o - 2280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 14. Let j be (7 - 1)\/3 - 0. Suppose 0 = -j*r - n + 1 - 2, v = -r + 2*n. Put r, -3, -0.2 in ascending order.\nAnswer: -3, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - 21. Let t = n + 47. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -10. Suppose 0 = -5*o - 10, 4*t + 0*o = -o + 18. Suppose 10 = 3*y - t. Calculate the remainder when a is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7 + 2*b + 10\/7*b**3 + 2\/7*b**4 + 18\/7*b**2.\nAnswer: 2*(b + 1)**3*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/5*d**2 + 8\/5*d - 2\/5*d**3 + 1\/5*d**4 - 4\/5 = 0. What is d?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11 - -4.89. Let o be 52\/((-936)\/(-450)) + -26. What is the smallest value in 17, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - 6*k + 2*k)*(-3 - 5 - 2)*(0*k + 3*k + 0*k)*(3 - 2 + 3)*(1 - 4 + 5) in the form z + t*k + a*k**2 and give a.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-1 + -6)) + (228 - 218) - 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78533?\nAnswer: 7, 13, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m - 5. Let g be l(-5). Let o = -4123 - -4153. Let z = o + g. Sort z, -14, 1, -3 in decreasing order.\nAnswer: 1, -3, z, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 equal to 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3304 and -109\/952?\nAnswer: 56168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 223460063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**2)**31)**(-9\/11))**(1\/22) assuming h is positive.\nAnswer: h**(-279\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 + 37*f**2 - 65*f + 239. Determine d(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13370 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000239 to seven decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 13\/2, 5\/6, 7, 655?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(6) - sqrt(150))*3.\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -61. Calculate the remainder when 16 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3)*g*g**(2\/7) assuming g is positive.\nAnswer: g**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 589101 and 277224.\nAnswer: 4712808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2237 (b) -0.4 (c) 6 (d) -4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -1\/8, -0.089, 0.1, 0.3, -24, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.91 - -0.09. Let f = -11 + w. Let o = -4 + 3.5. Which is the smallest value? (a) o (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-5)\/d)*d*d)**(2\/61))**(-1\/18) assuming d is positive.\nAnswer: d**(-1\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 3*j**2 - j + 2. Let r(s) be the third derivative of s**6\/120 + s**4\/24 - 5*s**3\/6 + 2*s**2. Let f be r(0). Let k = f + 2. Give n(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**3 + 4*q**5 + 6*q**3 + 6 - 8 + q + (-4*q**3 - q**2 + q**2)*(-q**2 - q**2 + q**2).\nAnswer: 8*q**5 + q**3 + q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10 + 11 - -4*1. Let v be 4\/2*1 - 2. Let k = 0 + v. Solve k = z*a + 6 - 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115648261851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 563 minutes before 7:43 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 5*y + 4. Let s(p) = -11 - 4*p + 7 - 2*p - 2*p**2 + 0*p. Give 3*s(h) + 4*w(h).\nAnswer: 2*h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1059969 + -2\nAnswer: 1059967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(24\/((-480)\/(-70))).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 252.9 - 253. Let v = -4 + 7. Which is the biggest value? (a) -0.2 (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 363 - 361.33. Round l to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 10*h. Solve h = 4*m - 2 - 18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 254239871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 452136.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 24\/5)*-10. Suppose -5*f - 2 = 28. Let r = s + f. Solve 4*u - 3 = 5*u + 2*t, -4*u - r = t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 2. Suppose 2*f + 4*k = 8, f + 33 = -2*f + 3*k. Let c be g(f). What is the smallest value in -5, c, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by (-137)\/(-14) + (-15)\/(-70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56.7118164 or 1?\nAnswer: 56.7118164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 7) to base 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7240.79 millimeters to meters.\nAnswer: 7.24079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 55*j. Let t(d) = -101*d + 32*d - 107*d + 12*d. What is 3*t(u) + 8*y(u)?\nAnswer: -52*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (5 - 3 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*h + 4*b - 19, -22 = -3*h - 5*b. Is 1 - -86 - (h - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7251?\nAnswer: 3, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4892144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-3)\/48*8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 3839b?\nAnswer: -3839b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*w**2 + w - w - w**2 + (2*w - 8*w - 5*w)*(4*w - w - 2*w) - w**2 + 3*w**2 - w**2)*(99 - 99 - 7*w**3).\nAnswer: 63*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75747.\nAnswer: 3, 7, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 7. Determine s(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 4*q**2 - q + 1. Let a be g(-4). Suppose -w - a = -s, w = 5*s + 3*w - 46. Solve -2*m = -2*z - 14, 6*m + 4*z = m + s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/169 or 1?\nAnswer: 20\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 419, 0.5, -1\/273, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 351829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 3. Let a = -391 - -402. Suppose -4*s - 15 = 5*b, 12 = -4*b - 0*s + 5*s. Let y = 1 + b. Let r(x) = -10*x + 16. Calculate a*g(w) + y*r(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/8*6\/(-6).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - 89.97. Sort 0, -0.2, s, 0.2 in descending order.\nAnswer: 0.2, s, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o**3\/8 + 9*o**2\/4 + 27*o\/8 - 3\/4 = 0 for o.\nAnswer: -1, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4619 - -0.3881. Which is smaller: s or 16?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/5, 27, -1\/26, -4\/7, -2, -1?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79365?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**3 + 9*k + 0 + 0*k**2 - 1\/12*k**4. What is the second derivative of f(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 12 - 78 = 2*z, 4*z - 4*h = -204. Let c = z - -57. What is the greatest common factor of c and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*d**3 + 128*a**2*d**2 + 233*a**2*d + 3*a*d**3 + 217*a*d**2 + 7*a*d + 3*d**2 - 284*d wrt a.\nAnswer: -4*d**3 + 256*d**2 + 466*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {w: 1, f: 1, c: 1, i: 4, k: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 15 - 48 - 3 + 9705*t**2 + 16.\nAnswer: 9705*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, b: 1}. Give prob of picking 2 s and 1 b.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 235, 229, 209, 169, 103, 5?\n\"Answer: -b**3 - b**2 + 4*b + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37521192.\nAnswer: 2, 3, 229, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 4:32 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17297 = -2718*s - 69835 - 23566 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145*w + 282 - 282)*(6*w - 2*w - 3*w)*(-w**3 - 53*w**2 + 53*w**2).\nAnswer: 145*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -10341*q + 1789154. Give o(173).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*(-318)\/(-159)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a*a**(-6)\/a))\/(a\/(a\/(a**(-1)*a*a))))**(-45)\/((a**(-3)*a)**(-5\/4))**(-41) assuming a is positive.\nAnswer: a**(-155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 4*d - 6. Calculate c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1508, -1536, -1576, -1634, -1716?\n\"Answer: -f**3 - 21*f - 1486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*v - 351*v + 164640 = 78*v + 1041*v for v.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(-6782 + 6782 + 7*p + 10*p**2).\nAnswer: 20*p**2 + 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-18)\/(-12)*(-4)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**4*q + 39*g**4 + 5*g*q**2 - 590*q**2 with respect to g.\nAnswer: -8*g**3*q + 156*g**3 + 5*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*o = -11, 45 = -4*f - 2*o + 59. Solve 15*r + f = -2*m + 13*r, m + 3*r + 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/49508091 and -59\/21.\nAnswer: 346556637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -237\/7 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -413 + 256. Let n = -107 - j. Suppose 0 = 3*y - 4*l - 23, 0 = -5*y - 2*l - 3*l + n. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-334)\/(-42) + -18 + (-180)\/(-18).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 3636.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 26 = -3*t. Suppose 4*f - 871 - 65 = 0. What is the greatest common divisor of t and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6 - (-8)\/(-3). What is the tens digit of 136\/(-12)*3\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6108336735253\/4152 + 1471179356. Let y = s - -3\/1384. Find the common denominator of (1\/(-9))\/((-3)\/87) and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 323 - -7?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -311.3 + 313.3. Let w be 2\/5 + 207\/45. Which is the biggest value? (a) w (b) d (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-6\/5)*n)\/(n**2*n))\/(n**(-2)\/(n\/(n\/(((n\/((n*n**(-2\/3))\/n))\/n*n)\/n))*n)) assuming n is positive.\nAnswer: n**(73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n + 22 = h, -16 = -2*h - 4*n. Suppose -5*z + 0*z + 33 = f, 2*f + h = 3*z. Suppose -5*x + 89 = -z. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -791135 divided by 6\nAnswer: -791135\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27334 (base 8) in base 15?\nAnswer: 384b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23322 - -1043?\nAnswer: 24420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -825 - -825. Solve 2*i = -5*n + n - 6, s = 2*i + 2*n + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuwuwuwuuu. What is prob of sequence uuu?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -503, -495, -487, -479?\n\"Answer: 8*p - 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/20)\/((-135)\/(-2475)).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**3 + 106*z**2 + 11*z - 22. Let b(v) = -v**3 - 21*v**2 - 2*v + 4. Calculate -11*b(q) - 2*s(q).\nAnswer: q**3 + 19*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1375, 1383, 1405, 1447, 1515, 1615, 1753, 1935?\nAnswer: 2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 21*p**2 + p + 1. Let z be y(-1). Let k = 0 - -6. Suppose -n = -k*n + 15. What is the highest common divisor of z and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -15*x - 3*x + x - 5 - x. Let b(z) = -7*z - 2. Let w(j) = -5*b(j) + 2*m(j). Let q(s) = -143*s**2. What is w(q(k))?\nAnswer: 143*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3025 and 17\/1375?\nAnswer: 15125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**8\/112 + 19*b**7\/35 + 9*b**6\/5 - b**5\/10 - 73*b**4\/8 - 18*b**3 + 517*b**2 - 1. Factor o(n).\nAnswer: 3*(n - 1)*(n + 1)**3*(n + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 157216?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1884 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 37952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1646*r + 226. Let b be l(-7). What is the highest common divisor of b and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(0*z + 0*z + z + (0 - 3 + 1)*(-1 + 1 + z) - 1 + 1 - 1 + 4*z).\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 11010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, v: 3, t: 2, a: 4, m: 2, h: 2}. What is prob of sequence hhdt?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30116281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1979, 1, -188, 14.\nAnswer: -1979, -188, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -579*k**7\/70 + k**6\/60 - 1505*k**4\/12 - 130*k**2 + 3. What is the second derivative of b(u) wrt u?\nAnswer: -20844*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 284, 2322, 7852, 18620, 36372, 62854?\n\"Answer: 291*k**3 + k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*d**3*l**4 + 20276650*d**3*l**2 - 5*d**3 - 736*d**2*l + 827*d**2 + d + 4 wrt l?\nAnswer: 120*d**3*l**2 + 40553300*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 428 = -4*d, 0 = 4*d + 4. Which is smaller: v or -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(-18)\/((s*s\/(s*s*s*s\/(s\/(s*s**(-3\/7))*s)*s))\/s*((s\/s**1)\/s)\/s) assuming s is positive.\nAnswer: s**(284\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*y - 283 + 283 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -42 + 14. Does 22 divide 12*(5 + -3 + k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -26704*o. Let t(h) = h**2 - 153*h. Calculate i(t(y)).\nAnswer: -26704*y**2 + 4085712*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 863*y**2 + 25*y - 59. Is v(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691*o - 566*o - 3*o**3 + o**3.\nAnswer: -2*o**3 + 125*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10201.08 millilitres in litres?\nAnswer: 10.20108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -630 + 629.92. What is the biggest value in 0.06, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2673.88963 to the nearest integer.\nAnswer: 2674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 3*f - 5. Let b be m(7). Suppose -83*g - 788 = 1287. Let z = b + g. Let c(w) = 4*w**2 - 2*w. Let r(h) = h**2 - h. Determine z*c(a) + 4*r(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1 + (-133)\/14 + 12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*r + 1001 = 0. Let z = 147 - r. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581440 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 8. Let n(a) = 4*a**2 - 230*a - 16. What is n(t) + 2*v(t)?\nAnswer: 2*t**2 - 230*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22105 (base 6) to base 15.\nAnswer: -d95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6*o = 3. What is the greatest common divisor of 7 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -64?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344371.788 minus -0.141133?\nAnswer: 1344371.929133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -332200 (base 4) in base 16?\nAnswer: -fa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 146?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 9:12 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 5 + (-23 - 31 - 62)*(-2 + 4 + 0) + (0 + 4 - 6)*(-3 + 4 - 3))*(-8*g + 12*g + 15*g)*(0 + 1 - 2) in the form t + z*g and give z.\nAnswer: 4370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/(-864)*-9 - 200034\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1943044842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 577127.3 kilograms in micrograms?\nAnswer: 577127300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/90304 and -9\/23392.\nAnswer: 3883072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82*f*m*r**3 + 6*f*m*r**2*t + 9*f*r + 2*m*r**2*t + r**3*t - 2*r**2*t wrt r.\nAnswer: 492*f*m + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216 and 378.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1040, -4, -2 in descending order.\nAnswer: 1040, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/((sqrt(66) - (sqrt(66) + (sqrt(66) - (sqrt(66) + -3*sqrt(66) + sqrt(66) - sqrt(66))) - sqrt(66) - sqrt(66)) - sqrt(66))\/sqrt(6)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 683*s + 17089. What is o(-25)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 6 - 6*t**3 + 40*t**2 + 4*t**3 + 4*t + t - 47*t**2. Calculate z(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 1:48 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3605, 0.04, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(119) - 1*sqrt(119)))\/(1*sqrt(252)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**26*j*j\/(j*j\/j**(-4))*j*j*j\/(j*j\/(j\/j**(-3\/2)))*j*j assuming j is positive.\nAnswer: j**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2020821*s - 4041639. What is d(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 404*o**2 - 852*o + 88.\nAnswer: 4*(o - 2)*(101*o - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 4*a + 5\/36*a**4 + 0*a**2 + 0 - 1\/9*a**3. Factor w(z).\nAnswer: z*(5*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 43086.\nAnswer: -215430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*2*2\/(-4). Suppose -t + 14395 = d, 2*d + 3*t + 57615 = c*d. What is d rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*b = 12 - 3, 0 = 5*x - 4*b - 17. Suppose -20 = -x*s + 5. What is the second derivative of 25*a**s - 22*a**5 - 8*a + 19*a wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1*s*(s\/s**(-15)*s)\/s*s*(s\/((s*s**(-4)\/s)\/s))**23 assuming s is positive.\nAnswer: s**157","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - a - 17 = 0, -3*b + 3*b = -b + 123*a - 379 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/9*k**3 - 2\/9*k**4 + 0 + 10\/9*k - 22\/9*k**2.\nAnswer: -2*k*(k - 5)*(k - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*p = 87*p - 40. What is the second derivative of m + 3*m**p - 2*m**2 - 3137 + 3276 wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 66198356?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43, -175, -387, -673, -1027, -1443, -1915, -2437?\n\"Answer: r**3 - 46*r**2 - r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2966395 is divided by 494390?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bumt when four letters picked without replacement from {j: 1, t: 1, m: 2, u: 1, b: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -318, -478, -640, -804, -970?\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 6:21 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530605?\nAnswer: 5, 306121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - j = 0. Suppose 5*q + 79227 = 4*c, -2*c - 2*c - 4*q + 79272 = j. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23614.67 nanograms in tonnes?\nAnswer: 0.00000000002361467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -596 - -996. Is 40 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 - 4*o - 89*o**3 + 425*o**3 - 226*o**3 wrt o.\nAnswer: 660*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 3*q + 4. Let y be f(4). Let t = y - -6. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a second in milliseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -168f2d (base 16) to base 6.\nAnswer: -51404353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 3, -5 in increasing order.\nAnswer: -71, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11789 - -5?\nAnswer: -11784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - -0.6. Let l = -17 + 18. Which is the biggest value? (a) 1\/4 (b) x (c) l (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(128))*5 + sqrt(128) + (3 + sqrt(128))*-2 - ((sqrt(128) - 4*(sqrt(128) + 2)) + 1)*4)**2*5.\nAnswer: 34560*sqrt(2) + 167485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2194*(-3)\/(-30) + (-6)\/10. Let s = -146 - p. List the prime factors of s.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let a(z) = 57*z**2 + 6. Let p(w) = 1. Let k(y) = -2*y + 43. Let l be k(18). Suppose -8*f + l*f = -6. Let x(c) = f*p(c) - a(c). Give x(n(m)).\nAnswer: -57*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - (-1 + 3) - 2. Let u = a + 15. Suppose 2*y = 5*y - u. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 52958, 59037, 65116?\n\"Answer: 6079*r + 46879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, z: 1, i: 6, a: 3, e: 2}. Give prob of picking 2 f, 1 i, and 1 e.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.2. Let q = 0.45 - -0.05. Let h = q - 0.1. What is the closest to u in -5, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9, 34, 55, 72?\n\"Answer: -2*c**2 + 31*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -1\/70222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0, -2\/7, 26\/115, 1\/3 in decreasing order.\nAnswer: 1\/3, 26\/115, 1\/7, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*u - 12*u**2 - 95*u)*(2 - 2*u - 2)*(-u + 2*u + 2*u) + (5 - 5 - 1)*(2*u**4 + 2*u**4 - 6*u**4) + 2*u - 2*u + 2*u**4 - u**4 + 4*u**4 - u**4.\nAnswer: 78*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 - (8 + (-1224)\/(-18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 2\/7 (c) -4 (d) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 267635 (base 8) to base 14\nAnswer: 26421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 9 (c) -4 (d) 0.046\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12221001121 (base 3) in base 12?\nAnswer: -57637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -506.765 + 507. Let r = m - -0.065. What is the second smallest value in 107, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.2 + -16. Let m = d - 2. Suppose 10 + 2 = -3*s. Which is the third smallest value? (a) s (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 115*j**2 + 153 wrt j.\nAnswer: 230*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + 1 + sqrt(2) - sqrt(8)\/sqrt(4)*5 - ((5 + (sqrt(2) - (1 + sqrt(2))) + sqrt(2))**2 + 5).\nAnswer: -22 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -126, -204, -288, -372, -450, -516, -564?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 - 6*y**2 + 15*y**3 + 11*y**2.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/13)\/g**(2\/11))**23*((g*g**(-2\/25))\/g**(1\/3))**(-9) assuming g is positive.\nAnswer: g**(-40151\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.85952 rounded to zero decimal places?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 - 4658 - 14375 = -751*y for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -394 and -1099 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.1 to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124 - -97. What is the third smallest value in -0.3, -1\/4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 29623100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2954570 or -2954567?\nAnswer: -2954570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 - 7. Let p = i + -94.11. Sort -1\/2, p, 4 in descending order.\nAnswer: 4, p, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 55 = 2*b, 3764*x - 3763*x = b - 32 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1341273592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 9:30 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33639 - -33724. What is the remainder when 191 is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 4:22 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 460416 and -27687.7874?\nAnswer: 488103.7874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -12*r - 29. Let k be q(-24). Let u = -81 + k. List the prime factors of u.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61214\/3 + 20408. Let u(r) be the second derivative of 0 + 5\/3*r**4 + 0*r**2 + 5\/42*r**7 - g*r**3 + 33*r - 2\/3*r**6 + 3\/4*r**5. Let u(w) = 0. What is w?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231 - 0.00527.\nAnswer: 230.99473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**3\/6 - n**2\/2 + 2*n + 4. Let w(t) be the first derivative of v(t). What are the prime factors of w(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -1 + (-6)\/(-3). Let n = q + -2. Suppose 0 = 2*l + 2. What is the third biggest value in n, l, 2\/21?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.64 + -8989.7.\nAnswer: -8990.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14678855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m. Let s(d) = -5865479*d**2 + 3879*d - 7758. Let o(a) = -3025*a**2 + 2*a - 4. Let f(j) = 3879*o(j) - 2*s(j). Determine f(l(h)).\nAnswer: -12068*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 3 - -8) + 23 + -8 + 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50394 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 5 = 13. Suppose 2*c - 3*g = 7*c - 788, 3*c + t*g = 473. What is the lowest common multiple of 3 and c?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -10*t + 12*t + 49*t. Let y(p) = 6*p**2 - 5. Suppose 10*c = 8*c + 8. Let o(n) = -5*n**2 + 4. Let v(x) = c*y(x) + 5*o(x). What is g(v(h))?\nAnswer: -51*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.24 and 48136?\nAnswer: 11552.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrrrqrrr. What is prob of sequence rq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6454468?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*p + 24*p + 234 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1274)*5)\/(sqrt(128) - 1*sqrt(128)*-6).\nAnswer: 15*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 36*a - 1. Let t(b) = -47*b + 2. Determine -3*t(r) - 4*z(r).\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35, -6, -81, -202, -381, -630, -961?\n\"Answer: -2*w**3 - 5*w**2 - 12*w + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110344 by 55172.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22959122.\nAnswer: 2, 11479561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -9034 not equal to -9035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*w - 36*w + 39*w)*(0*w**2 - 2*w**2 + w**2) as k*w**2 + b + i*w + j*w**3 and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 838 - -1472. What are the prime factors of t?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhhv when four letters picked without replacement from {u: 1, f: 4, r: 3, h: 7, v: 1}.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*m - 60 + 148, 4*m + 20 = 0. Calculate the remainder when n is divided by 39.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 8\/9, 2, 12 in ascending order.\nAnswer: 2\/3, 8\/9, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20620 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4754.2 + 4306. Let o = 448 + u. Let w = -3320\/31179 - -2\/1641. Which is the nearest to -3\/2? (a) o (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*s + 8*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u - 4*u**2 + 2*u + (-3*u + u**2 + 3*u)*(1 + 4 - 4) - 3*u**2 + 3*u**2 - 3*u**2 + 5*u**2 - 4*u**2 + 0*u**2 in the form h*u**2 + z*u + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 2. Let w be h(-3). Let n be (-6)\/10*192\/531. Let r = -1\/59 - n. What is the nearest to w in r, -0.1, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 7:04 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268023061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (42\/35)\/((-3)\/160). Suppose 460 - 8 = -4*c. Let w = g - c. Calculate the highest common factor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1166*q = 1197*q + 31. Sort 14, -9, q in ascending order.\nAnswer: -9, q, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 111 - 134 = 0. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -7 - (15 - 6 - 47) - 4?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39974, -159886, -359750, -639572, -999358, -1439114?\n\"Answer: -f**3 - 39970*f**2 + 5*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 9*f - 4. What is the least common multiple of 22 and q(8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 415756636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*g - 3*y + 3372, -4*g = 2*y - 4496. What are the prime factors of g?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -379989*p + 132. Let v be s(-12). Round v to the nearest one hundred thousand.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -90682, -362664, -815938, -1450480, -2266266, -3263272?\n\"Answer: 4*i**3 - 90670*i**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 25, 11, -23, -83?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32917 is divided by 16139.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/3, 1, 2\/7, 1003 in increasing order.\nAnswer: -0.3, 2\/7, 2\/3, 1, 1003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-182)\/(-13) + 3 - 12. Calculate the greatest common divisor of 35 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*h + 121*h + 74*h + 943 = -108*h for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -975*n + 970*n = -15. What is the nearest to 26 in 0.1, n, -5\/4, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*v = 105, v + 99 = 4*g - 41. Let o = 29.2 + -29.6. What is the third smallest value in g, o, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 6*c**2 + 14*c + 5. Calculate j(-4).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2\/5 + 17554*r\/5 + 7020 = 0.\nAnswer: -8775, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - c - 4*c - 844, -5*c + 20 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/((-140)\/28)*10\/46\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, f: 4, v: 1, d: 9, c: 1}. Give prob of picking 1 v and 1 d.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(19) + 1 + -5)**2 + (-2*sqrt(152) + sqrt(152))\/sqrt(8).\nAnswer: -9*sqrt(19) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - 0. Is (-9303)\/r - (-2 + 11\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 - 41*v**2 - 124*v + 21. Is s(-25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*a = -258*a + 4136. Calculate the greatest common factor of a and 8131.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 2*o - 5*q - 4 = 0, 5*o - 2*q + 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s - 10. Let v be n(7). Suppose v*x = 633 + 843. List the prime factors of x.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r = 2. Let g(j) be the first derivative of -r*j**2 + 4 + 4*j**2 + 3*j**2 - 4*j**2 + 6*j. Determine g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 + 1 + 9 + 3*a**4 + 9*a - 8 + a**3 in the form u*a**2 + l*a + v + k*a**4 + h*a**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8414*u - 15 + 8410*u - 16822*u)*(u - u + 2*u)*(-2*u**3 + 0*u + 0*u).\nAnswer: -8*u**5 + 60*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(3072) + sqrt(3072))*6 - sqrt(3072))*1)**2 + sqrt(18)\/(sqrt(18)\/sqrt(3)*3)*-4 + -5.\nAnswer: -4*sqrt(3)\/3 + 371707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 7*j - 4*v + 8 = 0, -2*j - 5*v = -10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 4:22 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 699464083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16037?\nAnswer: 7, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78072 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - (2 - 0)) + 268. Let n = -66 + g. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27308.\nAnswer: 2, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(1008) - sqrt(1008)*-2) + sqrt(1008) - sqrt(1008)) + 3 - -3*(sqrt(1008) + -2*(sqrt(1008) + sqrt(1008) + sqrt(1008) + -3))**2)*2*6.\nAnswer: -25488*sqrt(7) + 908496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 4:57 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304 by -76.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**5\/150 - 4*c**4\/5 - 223*c**3\/45 - 10*c**2 - 3710*c. Determine w so that u(w) = 0.\nAnswer: -2, -1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 2*f**2 + 4*f - 2. Let c be v(-4). Find the first derivative of c*z + 7 + 12*z + 3 - 16*z wrt z.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/((-3663)\/770) - 8\/108*-3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 5*c + 480 = 0. Let t be 1*3 - (-3 + 3). Let v be 48\/c*(-20)\/t. Calculate the greatest common divisor of 20 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**4 - 79*x**3 + 8*x**2 - 44. Let r(k) = k**4 + k**3 + 2*k**2 - 2. Let b(t) = -3*r(t) + v(t). What is the third derivative of b(q) wrt q?\nAnswer: -48*q - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 1319?\nAnswer: -1317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 119*y + 2505*y + 7*y**2 + 430336 - 3*y**2 = 0.\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18\/5 (b) -3\/4 (c) 11 (d) 4 (e) 35 (f) 2\/7 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 8\/5, -3, 13.29 in ascending order.\nAnswer: -3, -0.3, 8\/5, 13.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 324 - 324.0000059. What is y rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1774062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.26? (a) 4\/21 (b) -5 (c) 0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*1*-2)\/((sqrt(9) - (sqrt(81)\/(sqrt(9) + sqrt(18)\/sqrt(2)) + sqrt(9)))*3))**2.\nAnswer: 128\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1232\/(-462))\/(4\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -11835750.\nAnswer: 1\/2367150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0381 to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -442*n**5\/15 - n**4\/8 + 8*n**3 - 627*n**2 + 1. Find the second derivative of z(k) wrt k.\nAnswer: -3536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -126623041?\nAnswer: 126623046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 337 = -3*x, -5*f = -7*f + 3*x + 161. Let p = f + -83. Solve p*u - 6 = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*13\/(-78)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**2 - 2*o - 1. Let k be z(-1). Let q = k - -11. Solve 0*i + 3*i = -q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-45))**9*(h*h\/(h*h**24\/h))\/(h*h*h**(-1\/14)*h) assuming h is positive.\nAnswer: h**(-6019\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*b + 1971 = 0, 3*b - 1569 = -4*f - 2*b. Let u = -280 + f. Is 29 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/13636 and 1\/872.\nAnswer: 2972648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-166 - -182) + -4 + -4 + 8 - -60?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 5*g + 2*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3\/y)\/y**(5\/8)*(y*y*y*y**(-3\/11)*y)**(-32) assuming y is positive.\nAnswer: y**(-10375\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w. Let i(t) = 96*t**2 - 194*t**2 + 94*t**2. Give i(k(f)).\nAnswer: -196*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**9\/60480 + v**7\/5040 + 67*v**6\/720 + v**5\/30 + 2*v**2. Let j(x) be the third derivative of r(x). Is j(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + 816?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118054945.\nAnswer: 5, 23610989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -5\/3 (c) -5 (d) 0.4 (e) -0.048\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 23*w - 57. Suppose w*c - 2*d - 779 = 3*d, d - 1054 = -4*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 264 = -9*v. Is v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 522628396*i**3*t**2 - 7*i**3 - 2*i*t - i - 12782*t - 2 wrt t?\nAnswer: 1045256792*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(77)*-6)\/(sqrt(448) - (sqrt(448)*2 - sqrt(448) - sqrt(448))) + (sqrt(330)\/sqrt(6)*1)\/((sqrt(300)\/sqrt(6))\/sqrt(10)).\nAnswer: -sqrt(11)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 12:07 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3*g - 2 + 1)*(-35*g**2 - 4*g**2 - 40*g**2) to v*g**2 + h*g**3 + s*g + t and give v.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1257967 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 338*u + u**3 + 3 - 339*u + 6*u**3 + (-2*u**2 + u**2 + 3*u**2)*(-3*u + u + 0*u) as b*u + t*u**3 + z*u**2 + l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 10) to base 12\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39959683.\nAnswer: 191, 209213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*t + 0*t - 96 = 0, -109 = -4*z + t. Let d be (-7)\/(z\/(-736)) + 1. Suppose 0 = 7*s - 2*s - d. List the prime factors of s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4 - -3)\/(4\/(-64)) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 50\/60*9\/20. Let l = 1\/8 + w. Put -0.3, 1, l in descending order.\nAnswer: 1, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*c - c - 6, -2*t - 14 = -3*c. Let z(i) = 2 + 0*i - i + 10*i**2 + i. Is z(c) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -14*v - 66. Let l(o) = o + 16. Let h be l(v). Let j be -2 - -3 - (-1 + 3). Sort j, h, 3 in ascending order.\nAnswer: j, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f. Let v be 6\/(2\/4*2). Let a be -6*(-2)\/3*1. Suppose -n - v = -a*n. Give u(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 99 = -852. Let a = -125 - i. What is the greatest common factor of 128 and a?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 0*q**4 + 9 + 0*q + 4\/3*q**3 + 0*q**5 + 0*q**2 + 7\/3*q**6. What is the third derivative of m(d) wrt d?\nAnswer: 840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 4*b + 22, 44*b - 49*b = 4*i - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h. Let s(n) be the third derivative of 0*n**3 + 0 - 2\/3*n**4 - 3*n - 9*n**2. What is g(s(v))?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1aa4667 (base 11) to base 14\nAnswer: 68019a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/720 - (-1)\/5)*-12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12611, 2, 4, 0.\nAnswer: -12611, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 9:36 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 327*r**3*v**3 + 8*r**3*v**2 - 2*r**3*v - 128436*r**2*v**3 + 51*r**2*v**2 - 22087*r**2*v wrt v.\nAnswer: 1962*r**3 - 770616*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 3*n - 30, 4*m + 29991*n = 29993*n + 48 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(216))\/(sqrt(120)\/((-2*sqrt(10) - sqrt(10)) + sqrt(10))))\/((sqrt(132)\/sqrt(176))\/(sqrt(2) - sqrt(14)\/(sqrt(7)*-2))).\nAnswer: -120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 74.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)\/c**0*(c*c*c**(-8)\/c)\/c**(-8))\/(((c\/c**(-7))\/c**(-3))\/(c**(3\/5)*c*c**(3\/5))) assuming c is positive.\nAnswer: c**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2) + (-10)\/36?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*2)\/(-3) + 7. Let m(f) = -6. Let c(n) be the first derivative of -n - 1. Let u(b) = x*c(b) - m(b). Let z(j) = j + 6. Give 11*u(k) - 2*z(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -945*c - 50080. Calculate p(-53).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3723625 is divided by 5791.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55542*o**2 - 56136*o**2 + 108480*o**2.\nAnswer: -3198*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/9 (b) -2 (c) -67 (d) 0.5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 62 = 2*y, 8*y = 13*y - 3*f - 113. Suppose -3*t = 6, t - 128 = -26*v + y*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 1. Let n = x + 1.3. Let v = 256516 + -1795616\/7. Which is bigger: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.07 (b) -0.03 (c) 3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 33*f = -765. Let b be ((-8)\/(-12))\/(4\/6). Let k be 10*(b - (-2)\/(-4)). What is the highest common factor of f and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3*l**3*p**3 - 100702*i**3*l*p**3 + 4*i**2*l*p**2 + 3*i*l**3*p**3 - 68*i*l**2*p**3 - 4*i*p**3 - 3*l**2*p**3 wrt i.\nAnswer: 6*l**3*p**3 - 604212*l*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2 + 8*n - 1. Let u(b) = 5*b**2 + 8*b - 2. Let g(p) = -3*u(p) + 4*x(p). Let q be g(-6). Let o be 8\/(-20) + (-4)\/q. Is o at most 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(39) + sqrt(39) + sqrt(39) - sqrt(39))\/(sqrt(24)\/(-2*sqrt(8))))**2 - (-5*-5*(sqrt(13)*-3)**2 + -5).\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5604 minus -148592036?\nAnswer: 148586432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y + 4. Let m be b(5). Let t = -28 + m. Suppose -2 = t*f - 20. Does 3 = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18918 + -18915. Solve d + 7 = y*a - 2, -a + 3 = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -13\/14 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**5\/30 + 5*t**4\/6 - 41*t**3\/6 + 44*t**2\/3 + 160*t\/3 - 301. Factor k(p).\nAnswer: -(p - 8)**2*(p - 5)*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + z + 54 = 5, -95 = -5*x - z. Let n be x\/6 + 9\/(-6). Let 0*s**3 + 3\/4 + 2*s - 1\/4*s**4 + n*s**2 = 0. What is s?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/32*(-4)\/(-6).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 132158*j**2*t + 7*j*t + 3*t - 335756 wrt j?\nAnswer: 264316*j*t + 7*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5*w - 41, 2*x + 115*w - 10 = 114*w. Solve 70*q - 71*q - 2*v - x = 0, -5*q - 5*v = -10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p + 2*p + 4 - 2. Let v(b) = -3*b - 1687. Let r(t) = 11*t + 6073. Let g(s) = -5*r(s) - 18*v(s). What is 6*g(c) - 2*w(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*b - i - 1321 = 0, 0 = 30495*b - 30500*b - i - 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34511 - 34506. Which is the closest to -1\/4? (a) 0.09 (b) f (c) 11.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(-12))\/l)\/l**(-15)*l\/(l**(6\/19)*l)*l*l**(-19) assuming l is positive.\nAnswer: l**(-272\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5174024048 rounded to four decimal places?\nAnswer: -1.5174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 b when four letters picked without replacement from bdduddppdddpbpbp?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3064512 = -867*y - 792*y + 2976585 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -401 (base 6) to base 7\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 2*g + 5. Let i be r(0). Solve 0*m = 3*m + 2*s + 3, -5 = i*m - 2*s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 + t - 1. Let d(k) = -40*k**2 + 2*k - 8. Give d(p) - 4*h(p).\nAnswer: -28*p**2 - 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -628665, -5029268, -16973773, -40234134, -78582305, -135790240, -215629893, -321873218?\n\"Answer: -628659*o**3 + 3*o**2 + o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/3, 0.3, 385\/6, 6, 0.18 in decreasing order.\nAnswer: 385\/6, 6, 4, 1\/3, 0.3, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 1*-9) + 2. Suppose -2 = 4*d - n. Solve d - 9 = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 15*y - 510. Find the third derivative of -y*v**4 + 44491 - 44491 - 30*v**2 wrt v.\nAnswer: -2448*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -2, -168\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354 divided by 43.\nAnswer: 354\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t = 4*j + 378400, 0 = 4*j + 4*t + 378436. Is (-1)\/(j\/47299 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 1\/2*l**3 + 0*l**4 + 0 - 5*l + 1\/6*l**6 + 0*l**2 + 0*l**5. Find the second derivative of k(x) wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7754 or 7562?\nAnswer: 7754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36714 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -17*i**3 - 13*i**2 + 632*i + 8. Let s(f) = -6*f**3 - 5*f**2 + 211*f + 3. What is 8*s(v) - 3*z(v)?\nAnswer: 3*v**3 - v**2 - 208*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5340\/81 - (-14)\/189) + -1 is divided by -1*(0 - 0) - -33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and ((-8)\/(-20))\/(3\/(-960)*-4).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-7)\/w)\/((w\/w**(-7))\/w))**(27\/2) assuming w is positive.\nAnswer: w**(-405\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*w + 4 = -1, 5*n - 2*w = 5. Let u = -105 - -174. Let z = u + -67. Solve -k + z*k - n = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 100 = 10*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*m**5*x**2 - 790*m**4*x**2 - 245*m**2*x**2 - 2*m**2 + 2*m*x**2 + 3 wrt m.\nAnswer: 660*m**2*x**2 - 18960*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 13*d - 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*k + 0 - 9 = 0, 8 = -4*s + k. Which is the closest to 2\/3? (a) 0.3 (b) 2\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 11 = -8*o + 3*o, -4*o = 3*k. Let t be 32\/k + (-16)\/24. Do 1\/4 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 2*a**2 - 16*a + 34. What is u(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*o**3 + 1465*o**4 - 1467*o**4 - 557*o**3)*(-64 - 6 - 8 + 8) as f*o + l*o**2 + g + w*o**3 + q*o**4 and give q.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - f - 31*f**2 - 3*f + 2*f.\nAnswer: -31*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -3, 32 in decreasing order.\nAnswer: 32, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -895 + 9\/(54\/24). What is the remainder when s\/(-5) - (-8)\/10 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**3 - l**3 + 18*l**3 - 4*l**3.\nAnswer: 26*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48.7564 + 153198360.\nAnswer: 153198311.2436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2037811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -111110111 (base 2) in base 9?\nAnswer: -618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -50132 divided by -83?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*j - 24 = 0, 3*j = 3*u - 8*u + 23. Suppose -c + u = 1. Factor 5\/3*v**c + 0 + 1\/3*v**2 + v**4 - 1\/3*v.\nAnswer: v*(v + 1)**2*(3*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1430*f**2 - 9*f + 8*f - 1390*f**2 + 2823*f**2 + f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.455415874 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 y when three letters picked without replacement from {i: 3, y: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/250, 3, -0.2, -3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v = 51. Let r = v + 36. Let p = 178 + -125. What is the remainder when p is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) 0.2 (c) 1.3 (d) -3\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 141*s**4 + 5*s**2 - 4*s**3 - 137*s**4 + 276*s**4 + 2*s to w*s**3 + m*s**4 + g*s**2 + l + k*s and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -7*a**6\/240 + a**4\/8 + 6*a**2. Let d(l) be the second derivative of h(l). Is 12 a factor of d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58.5 - 47. Let j = -12 + u. Let n = -152.7 - -153. Which is the nearest to -0.5? (a) n (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185562 is divided by 161.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88405 is divided by 29460.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Let d(u) = u + 9. Let p be d(-15). Is 11 a factor of (-29)\/j*6\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 17. Let n = 24 + z. Calculate the remainder when 43 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*((-2*sqrt(539) + -2 - sqrt(539))*1 + -1 + -2 + sqrt(396) + 4))**2.\nAnswer: 27000*sqrt(11) + 2228400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -1288*f + 1246*f + 1028 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 3*o + 5 + o**3 - 2*o**3 - 5*o**2. Is 10 a factor of b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -648, -3, -0.6, 4.4, -0.04, 1\/4, -4?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7076603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*f + 552 = -f, 5*j = 3*f + 682. Suppose -99 - 5 = -2*d + 3*x, 3*d = -5*x + j. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 4 (c) -56 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11355, 4, -97 in decreasing order.\nAnswer: 4, -97, -11355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 + 2*b - 2. Suppose 2*h = i + 4, 3*i + 1 = 5*h + 5*i. Let o be u(h). Solve 5*d = o*p + 12, 0*d + p + 4 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/54*(0 + (-1)\/(-3))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78498892 a multiple of 1724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s + 75 = -45 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 132?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-2)*(-108)\/63. Let x be (-126)\/(-112)*(-4)\/r. Let p = -3 + 5. Which is the nearest to p? (a) x (b) 1\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27*(-1342)\/2745*10\/(-3).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p + 79. Determine m(-31).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -34, -47, -66?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2424 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/7 and -49\/304.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/22 and 1\/26411538?\nAnswer: 290526918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + (-26)\/48. Let m = 0.35 - 0.65. Which is the closest to 0? (a) -3 (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031412 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 6*g = -7*g + 6, 5*l = 3*g - 8. Put l, 0.013, -2\/9 in increasing order.\nAnswer: l, -2\/9, 0.013","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 5*v - 106. Let m = v - -39. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 + 9*i**2 - 7*i**2 + 1. Let r(u) = 29*u**2 - 2*u - 2. Let k(m) = -r(m) + x(m). Differentiate k(s) with respect to s.\nAnswer: -60*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 21713?\nAnswer: 2\/21713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13506.59ng to micrograms.\nAnswer: 13.50659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-13993836.\nAnswer: 139938360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5762694 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 43. Solve -3*z + 0*k + 11 = -k, 0 = 2*z + y*k - 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a - 400 = -26*a. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 4, i: 6, u: 1, d: 2, h: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.71 + -3.29. Let h be ((-242)\/165)\/22*(-6)\/(-3). Which is the fourth biggest value? (a) -1 (b) -2 (c) u (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 44 - 226*y + 2 - 15 - 384*y in the form w*y + c and give w.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.008334 to two dps.\nAnswer: 2.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 21203 = 2*s + 37113, -29162 = -o + 3*s. Suppose 0 = -112*z + 108*z + o. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/3 and ((-12)\/(-9))\/2 - (-1127)\/(-504)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9075956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 12:38 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qkkgqkqgkqkggg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayq when three letters picked without replacement from {a: 1, t: 1, y: 8, g: 3, q: 1, k: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1289 = -521*l - 768*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3141*z + 2108*z - 2855*z + (-z + 0 + 0)*(2 + 1 - 2) in the form q*z + a and give q.\nAnswer: -3889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1464\/17 or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 7*d**3\/6 - 7*d**2\/2 - 3*d + 14. Let p(b) = -4*b + 4. Determine -6*a(s) - 11*p(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 227805 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/5)\/((-84)\/(-3724))*-5. Solve -142*y = -o*y + 45 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12320 = -28*d + 6*d. Suppose d = 18*f - 214. What is the remainder when 146 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 1505.17.\nAnswer: 19567.21","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 10. Suppose -3*o = -4*z + 8, -37 = -3*o - g*z - 3*z. Solve c - o = 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3278 and 704?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 110122222?\nAnswer: -110122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18548.602 - 18567. Let z = -18.6 - d. What is z rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 3*c**2 - 2*c + 1. Let s be g(-2). Suppose -z + s = 0, -2*r - z + 9 = -6. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 4. Let l(m) = -3*m + 1. Let q(a) = 2*a + 2 - 2 - 6*a. Let c(v) = 5*l(v) - 4*q(v). Calculate -2*c(o) - 3*h(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4331312 (base 6) to base 8.\nAnswer: -642234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(13) + sqrt(13) + -1 + 3 - (sqrt(156)\/(sqrt(36)\/sqrt(3)) + sqrt(26)\/sqrt(2)*-5)**2*-3) + -5.\nAnswer: -14*sqrt(13) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2. Let b be y(0). Let u(q) = 5*q + 28. Let p be u(-6). Let f = p - -5\/4. Are f and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p + 4. What is the units digit of a(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 1:44 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**5\/30 + 15*m**2. Let b(c) = -2*c - 3. Let u(o) = 3*o + 5. Let j(h) = -10*b(h) - 6*u(h). Calculate i(j(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 26 - 60 = 90 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 1243327.2.\nAnswer: -7459963.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8742 and 11562?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1708881 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 17*n**4\/12 - 2*n + 232. Let x(w) = 39*w. Calculate x(u(o)).\nAnswer: 663*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*w = 14, 5*l - 80*w - 16 = -81*w. Solve 83*g - l = 85*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4777, 4786, 4801, 4822, 4849, 4882, 4921?\n\"Answer: 3*s**2 + 4774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24507022, 49014102, 73521182, 98028262, 122535342, 147042422?\nAnswer: 171549502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, g: 9}. What is prob of sequence ggg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1237.91995 - 3.\nAnswer: -1240.91995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 7*u + 1\/3*u**3 + 7\/2*u**2 + 2. Is w(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 7*m**2 - 10*m - 9. Determine s(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -21. Suppose 5*q = -8*y + 3*y + 20, q - y = g. Determine s, given that -5*s**2 + 7 + 3 + 0 + q*s = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-1))\/(1 + -3). Suppose -j*v + 16 + 42 = 0. What is the remainder when 56 is divided by v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(2898\/(-399))*-3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**6\/720 - 13*c**3\/6 - 7*c**2. Let k(g) be the first derivative of x(g). Factor k(u).\nAnswer: -u**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 27. Let f(p) = -p**3 + 11*p**2 - 9*p - 7. Let h be f(c). Solve 2*z + 5 = h*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 123967870, 123967871, 123967872, 123967873?\n\"Answer: u + 123967869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 162*b + 32 - 22 to x + j*b and give j.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.4 + 5. Let q be (-12 - 50\/(-4))*2\/(-4). What is the third biggest value in q, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.24 or 3.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 3*p**2 + 61 - 2*p**2 - 2*p**2 to z + f*p**2 + u*p and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 4, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let n(i) = 5*i + 1. Suppose 2*y = -4*a + 20, 3*y + 0*a = 5*a + 52. Let l = y - 3. Give l*r(v) + 2*n(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25735, -25529, -24949, -23809, -21923, -19105, -15169?\n\"Answer: 31*n**3 + n**2 - 14*n - 25753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31990464 and 8704?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 182172\/35 + -5237. Let a be 403\/(-14) - 2\/4. Let i = a - t. Find the common denominator of 59\/5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u - 5230 = -5944 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.167383101 to 5 dps.\nAnswer: -0.16738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 58\/(-899) - (-30)\/465. Suppose 0 - 18\/7*n**2 - 2\/7*n**5 + x*n - 30\/7*n**3 - 2*n**4 = 0. Calculate n.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (6 - 3) + 3 + 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22014413 (base 5) in base 2?\nAnswer: -101110000100111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -22\nAnswer: -25\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 + 184*j**2 + 470*j**2 - 113*j**2 + 2*j in the form m*j + i*j**2 + q*j**3 + s and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/27)\/((-24)\/(-36))*-168*16\/256\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p = 16. Suppose -12243 + 4904 = -3*z - p*b, -3*b = z - 2438. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 70 - ((2 - (11 + -4)) + 3). Let w be (-31)\/(1674\/g)*(-2)\/8. Factor -4\/3 - w*p**4 + 2*p**3 - 13\/3*p**2 + 4*p.\nAnswer: -(p - 2)**2*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*(((d\/d**(3\/2))\/d)\/d)\/d)**(-3\/4)\/(d**(-12)\/((d\/((d\/(d**(-1\/2)*d))\/d*d)*d)\/d*d*d)))**(-50) assuming d is positive.\nAnswer: d**(-3125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -1.6. Let s = -0.8 - u. Let i = -40.2 + 43.5. Is s > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = y - 19. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -123061 bigger than -123065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/13, 0, -37391, 5, -1.2 in decreasing order.\nAnswer: 5, 4, 0, -2\/13, -1.2, -37391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 - 36*j**2 + 5*j - 50. What is the least common multiple of y(12) and 454?\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o\/(o*o**21)))\/o)*o**13)\/(o\/(((o\/(o\/o**(-1)))\/o)\/o))**18 assuming o is positive.\nAnswer: o**(-79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + k + 1. Let l(w) = 9*w**3 - 12*w + 1. Let h(c) = 6*j(c) + l(c). What is the tens digit of h(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 1436 (c) -4 (d) 0 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 6850, -6\/5, 0.1, 1\/3?\nAnswer: 6850","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2. Let v(h) = h**2 - 162169. Determine v(g(r)).\nAnswer: 4*r**4 - 162169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 2, 608951, 21.\nAnswer: -4, -1, 2, 21, 608951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 9. Suppose -2*t = 5*s + 183, 4*t - 3 = 2*s + 51. Let v be 102\/14 + 10\/s. Let y be x(v). What is the third smallest value in 5, 0, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 3*m + 2*m**2)*(-3*m + 2*m - m)*(2*m + m - 5*m).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9)\/z*z)\/(z\/z**(2\/83)*z) assuming z is positive.\nAnswer: z**(-1310\/747)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 11 = -2*c, 20 = 5*s + c. Let z(b) = 12*b + 28. Let f(t) = -4*t - 9. Let r(k) = s*z(k) + 10*f(k). Calculate r(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**6\/360 + t**5\/120 - t**4\/24 + t**3 + 15*t**2. Let g(u) be the first derivative of w(u). Give g(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-18)\/x*x**8*(x**13)**(-16))**49 assuming x is positive.\nAnswer: x**(-10731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4967 or 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 81, 458, 1469, 3432, 6665, 11486, 18213, 27164?\n\"Answer: 53*q**3 - q**2 + 9*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 24 = -4*h, 0 = 5*h + 902*c - 897*c - 30. What is the third smallest value in 2\/13, -3\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 8*x + 120. Is (354\/(-8))\/(x\/280) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*6*(1 + sqrt(1008)) + -5)**2.\nAnswer: 266976*sqrt(7) + 11767921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v + 12. Let k be i(2). Suppose -40716 = -4*f - 5*y + 22014, -5*f + 4*y + 78433 = k. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -10) + (3 + -1 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -158*t**6\/5 + 1137*t**3\/2 - 59*t**2 - 3*t. Differentiate l(h) with respect to h.\nAnswer: -11376*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*y - 19*v, 804 - 810 = -5*y - v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) - (-18)\/8. Let l(o) be the third derivative of 3*o**2 - 2\/3*o**3 + 0 + 0*o + 1\/24*o**4. Calculate l(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87641.9 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -59*c. Let t be g(-5). Let f(v) = 337*v - 102*v + t*v. Let z be f(2). What is z rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 5*r - 26, 0 = m - 6*m - r + 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 31. Which is the second biggest value? (a) 3\/2 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11121 is divided by 618.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 161 = 1913. Let j = -135 - l. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((-4)\/34*(-340)\/(-80)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 4524 = 11*s. Calculate the lowest common multiple of s and 725.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 41\/2 of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 + 687*q**2 - 4*q**3 + 90*q - 688*q**2 to v*q + s*q**2 + m*q**3 + c and give v.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 169.6 times 0.05\nAnswer: 8.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365*v**3 - 278*v + 8*v**2 - 6*v**2 - 4*v**2.\nAnswer: -365*v**3 - 2*v**2 - 278*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/16 and (11 + 315\/36)*(-3)\/102.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 785, 3, 5, -4, -1 in decreasing order.\nAnswer: 785, 67, 5, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74606 and 71637747.\nAnswer: 5329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 2*u**2 + 74*u + 54. What is f(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c + 39. Suppose -33 = -3*f - 6. Let g be q(f). Solve 3*r = -0*x - 3*x + 24, -x + g*r - 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1370*o**6*z + 1449*o**3*z**2 + 17*o**2*z**2 - 3*o**2*z - o**2 + 8582*z wrt o?\nAnswer: 164400*o**3*z + 8694*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15\/11 - -13\/11. Let d = 2042\/21771 - 4\/41. Let p = d - 521\/2655. Which is smaller: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 16. Let j be p(11). Suppose -z = h - 6, 26 = -z + j*h + 8. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 6 = -4*i, -i + 3*i + 3*p = -7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13598 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3\/29, -67\/130, -23\/6 in increasing order.\nAnswer: -23\/6, -67\/130, -3\/29, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 13*l - 182. Suppose 2*m + 4*g - 12 = 0, -2*m = g - 10 - l. What is the highest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, q: 2, z: 1, r: 4}. What is prob of sequence zb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**6 - n**5 + n**4 + n**2 - n. Let q(h) = -4*h**5 + 4*h**4 - 4*h**2 - 4*h. Let y(x) = -4*m(x) + q(x). What is the third derivative of y(c) wrt c?\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434875 is divided by 33451.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/55 and 86\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3 + 71879262024.\nAnswer: 71879262025.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 2*q**3 - 4*q**3 - 5*q + 4*q to s*q + v*q**2 + d*q**3 + t and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3553.891 - -3554. What is the fourth smallest value in -0.4, 0.02, 3\/5, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 8*d - 10. Calculate w(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -45\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 31. Suppose 176*p = 148*p - 420. Determine z(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.7. Let n = -21.1 - -21. Which is the biggest value? (a) g (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4597*z**2 + 319*z**2 + 2184*z**2 + 3767*z**2 to g*z + p*z**2 + a and give p.\nAnswer: 10867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34008 and 2146560.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (11 + -14 - (4 - 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = z - 453. Suppose v = -2 + 10. Let x = z + v. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**2*w*y - t**2*w - 50*t**2*y**3 - t*y**2 + w*y**3 + 5*w*y**2 wrt y?\nAnswer: -300*t**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.183 times 67.19?\nAnswer: 281.05577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-2) + (-4 - -8). Sort z, 4, -1, 2.\nAnswer: z, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4096 a factor of 34308723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 5*g**2 - 2*g + 6. Let c(z) = z**3 - 5*z**2 - 3*z + 5. Let w(l) = 7*c(l) - 6*k(l). Is w(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 6:11 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 + 1. Suppose -4 - 16 = 5*f, -5*b - 11 = 4*f. Let q be d(b). Factor 0*w**4 + 3*w**q - w**4.\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321655?\nAnswer: 5, 23, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15 - 8404)*(-3)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -31?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b + b**3 - 2*b + (-3*b + 4*b - 3*b)*(-2*b**2 + 3*b**2 - 3*b**2) + (-2*b + 0*b + 3*b)*(10 - 10 + 14)*(24*b**2 + 78*b - 78*b).\nAnswer: 341*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -9. Let s(a) = 2*a + 18. Let w be s(-9). Solve -p*m + m + 3 = w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -12*c**2 - 1979*c + 9895. Calculate a(5).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.9 + -35. Let s = 2.3 - l. Let g = 809\/28 - 115\/4. Sort g, 0.2, s, 2\/7 in ascending order.\nAnswer: g, 0.2, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.033, -0.5453, -29?\nAnswer: -0.5453","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -794 less than -27816\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*y - 106 = -6, 4*j - 76 = -y. Let h be ((-16)\/j)\/(6\/(-15)). Solve h*b + 3 = -7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 58. Suppose s = 3*o + 6. Let f be 2 + -4 + o + 30\/2. What is the highest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 953, 1154, 1219, 1166, 1013?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 32 * -3\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 - -1067. Suppose 6*m - s - 1332 = 0. What are the prime factors of m?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g - g**3 - 3 - 2*g**2 - 2 + 2*g**3. Let d be p(-2). Let h be 2 - (2 + (-2)\/d). Which is the closest to -1\/3? (a) h (b) 1\/8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e6 (base 15) to base 16.\nAnswer: -1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8 = 4*n - 16, -n + 4*b - 13 = 0. Let q be (-1*6)\/n*(-3 - 0). Let l(u) = -u**2 + 4*u + 17. What is the lowest common multiple of 10 and l(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89609109 and 29082.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -2.4. Let q = -2.5 - z. Sort -3, -2, q in increasing order.\nAnswer: -3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from {o: 1, k: 1, w: 2, e: 1, s: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**5 - 19*r**4 + 58*r**2 + 792*r - 34.\nAnswer: 20*r**3 - 228*r**2 + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 344327 + -589327. Round w to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 241 = 2*s, 4*s + 44 = x + 3*s. What are the prime factors of x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*b + 39*b + 72. Suppose 22*i - 228 = b*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -14 - 4\/15*t**3 - 2\/5*t**4 - 4\/25*t**5 + 0*t**2 + 0*t. Let o(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -280956, -281013, -281070, -281127?\nAnswer: -281184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 13*v**2 - 2*v - 4. Let k be d(-13). Let c = k - 17. What is the highest common factor of 25 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1030 - 1143) + 31 + -2?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p + 6*p**2 + 13*p - 4*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -138.869.\nAnswer: 139.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23212 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/128 and -91\/3008.\nAnswer: 6016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g + 1. Let v be r(-4). Let d = v + -11. Suppose 0 = d*z - 39 - 11. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 2. Suppose -o = -9*n + 4*n. Let g be (-2)\/n*(-2)\/(-13). Sort -0.5, g, 0.2 in decreasing order.\nAnswer: 0.2, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33455225 and 575.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4*1)\/((-72)\/4)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2388991 + -4?\nAnswer: -2388995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 5\/((-15)\/(-6)). Let f be 2 - u*(-2)\/(-4). Is 2 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.36147.\nAnswer: -1.44588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 7*t - 45. Calculate the remainder when 7\/t + 202\/6 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 41 + 234. Let d = h - 54. What is the highest common factor of d and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 11. Let x = q + 2.4. What is the second smallest value in 0, -0.5, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 12*l**2 - 24*l + 59. Calculate the remainder when o(5) is divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23300 - -23302. Let i(u) = -13*u + 2. What is the lowest common multiple of o and i(-4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11220 = 111*f - 26*f. Solve 0 = -26*t - 18*t + f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1020\/(-54))\/(-5) - 4\/(-18). Suppose 6*j + 5*v - 357 = l*j, -2*j + 2*v + 350 = 0. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 487*t + 18017. Determine r(-37).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + 7)\/(-1 - -4). Let a(f) be the third derivative of -f**2 + 0 + 2\/105*f**7 + 0*f**5 + n*f**4 + 0*f + 2\/3*f**3 + 0*f**6. Differentiate a(d) wrt d.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3063399?\nAnswer: 3, 773, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, o: 2, i: 1, m: 2, d: 2, b: 6}. Give prob of sequence robo.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -2. Let j = u + -13. Let s(h) = -h**2 + 7*h - 4. Calculate s(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13651551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -5503 in decreasing order.\nAnswer: -2, -5, -5503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -111100010111101101010 (base 2) in base 14?\nAnswer: -396cd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.95 - -0.05. Let v(j) = j**3 + 9*j**2 - 11*j - 16. Let i be v(-10). Let y be 3\/i + (-10)\/(-8). What is the second smallest value in y, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 430 + 54?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by (-56 + 5)*1\/(-3) - -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 19. Suppose -z*l - 3*r + 57 = 0, 63 + 7 = 5*l + 4*r. Solve -5*n = -7 - l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10 + 6*x**4 - 9*x**3 + 20*x - 9*x + 22 + 16*x + 78 + 13*x**2 wrt x?\nAnswer: 72*x**2 - 54*x + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 1:44 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/30 + (-806)\/(-195). Solve q = -n*s + 8, 5*s + 3*q = s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(-2*i + 0*i + 3*i)*(-3*i + 4 - 4) + 8*i**2 - 16*i**2 - 19*i**2.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 10) in base 3?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 494 + -489. Suppose 5*v + 15 = 0, 6*u + 2*v = 2*u + 38. Let l = -10 + 12. Solve 6*d - u = l*q + 3*d, 0 = -p*q - 5*d + 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(0 + (-12)\/(-8)). Let p = l - -11. Let a(w) = w**3 + w**2 - w + 12. Calculate the remainder when p is divided by a(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -3*n + m + m, m = 4*n - 221. Calculate the remainder when n is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**2))\/t)**(4\/3)\/(t**(-2)\/(t**(-5)*t)))\/((t**(2\/7))**(11\/2)*t**5\/t*t*(t*t**(-2\/17))\/t) assuming t is positive.\nAnswer: t**(-1482\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k + b + 52, 2*b + 20 = -k. Let t = -41 - k. Let o = -12 - t. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*a + 1268 - 173 - 151 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5 = -d, 0 = 3*w - 8*w + 4*d - 16. Let l = -2 - -2.1. What is the nearest to 0.2 in 2\/7, w, l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -380, -5.\nAnswer: -380, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.00842973?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 690064133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 552 and 20838.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 7*i + 7. Let n(h) = h - 5. Let r be n(7). Let y = 7 - r. Let g be l(y). Sort 4, g, 3 in decreasing order.\nAnswer: 4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 7:12 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*v**3 + 18*v**5 + 2*v**2 - 57 - 25*v**5 + 2 + 3*v**3 - 3*v**2 wrt v.\nAnswer: -420*v**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-12)\/9*(-2853 - 3). Suppose 11*t - 7*t - n = 0. Suppose 0*c = 7*c - t. Is 34 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -28, -1898, 2, 5, -2?\nAnswer: -1898","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 5*t - 16, 7*g - 20 = 12*g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/518 and -13\/40490506.\nAnswer: 40490506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - 78. Put -4, c, 2, -22 in ascending order.\nAnswer: -22, c, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3297282.\nAnswer: 2, 3, 549547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -173*t - 12. Let j(q) = 11247*q + 782. Calculate 6*j(k) + 391*w(k).\nAnswer: -161*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 12:29 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -29. Let o be (0\/(-3))\/(n - 2). Suppose -x - 2*x + 225 = o. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 9*d**2 + 56*d + 38*d - 64*d - 30*d.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 121*w = 17*w + 29*w. Solve 17*i + 85 - 51 = w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2787433 (base 11) to base 10\nAnswer: -4797444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4563418.\nAnswer: 2, 43, 47, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, 17, 99, 275, 581, 1053, 1727?\n\"Answer: 6*u**3 - 7*u**2 + 3*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4110 (base 6) to base 14.\nAnswer: 48a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 855, 2850, 6713, 13062?\nAnswer: 22515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17575)\/111)\/((-285)\/76*8\/18).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -195132.0408 - -195067. Let f = w + 65. Round f to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -726269 - 37*r + 726269 - 4*r**3 to the form d*r**3 + j*r + a + q*r**2 and give j.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 10001?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -401, -5, 43?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p + 16. What is the remainder when m(0) is divided by 5\/1*(-3)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (42\/8)\/(1\/(-4)). Let u be 1\/3 + 112\/y. Let r(a) = a**2 + a + 7. Does 20 divide r(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003277 rounded to five dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by -4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, x: 1, t: 1, a: 1, b: 2, u: 1}. Give prob of sequence ba.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 13562298*a**2 - 15328224476532*a - 521143954303512.\nAnswer: -3*(a + 34)*(a + 2260366)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 52*z. Let b be q(3). Suppose -b + 41 = -5*u. Solve 0 = -4*x + x - 15, 0 = v - 4*x - u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 68. Let o = -7 - b. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/9)\/(2560\/960)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 574 and 2624.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 49. Suppose r = -d + w, 3*d - 3*r - 3 = 12. Suppose t = d*t - 180. Calculate the highest common factor of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - -0.2. Let s = -0.4 + k. Let x = -1.26 - 1.74. Which is the second smallest value? (a) x (b) s (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10239, 20462, 30673, 40872, 51059, 61234, 71397?\nAnswer: 81548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(7047\/1053)*-1\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.5.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 511 = -95. Does 15 divide 3\/(-3) - -2 - z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(121) + sqrt(121)*1)*-3 + sqrt(121)))\/(sqrt(55)\/(sqrt(5)*2 - sqrt(5))*4).\nAnswer: 25*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 - (477 - 509).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/820 and 141\/2870.\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-64)\/10)\/2)\/(5\/25). Are y and -15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.62 - 1101\nAnswer: -1121.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1386264 divided by -3916.\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*m - 570. What are the prime factors of m?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57820)\/(-24780)*-57*(-2)\/56\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -58 (base 11) to base 8\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2403 and 24864375?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11064112.\nAnswer: 2, 67, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10819*v = -5334*v + 718535 for v.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/110 - -163\/220. Let y = 0.4955 - 0.8955. Which is the nearest to 1? (a) y (b) 0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2926392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001862273 rounded to six decimal places?\nAnswer: 0.001862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819105.\nAnswer: 3, 5, 7, 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12802, 12803, 12804, 12805, 12806, 12807?\nAnswer: 12808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2883 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5871, -5868, -5863, -5856, -5847?\n\"Answer: h**2 - 5872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41607544.90000052 - 41607543. Let u = 0.0925 - 1.9925. Let j = u + y. What is j rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/15 + -1 + 42528\/160. Calculate the greatest common factor of 3059 and k.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l - 3. Let r(j) = -11*j + 6. Determine 6*r(f) + 14*y(f).\nAnswer: 4*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**2\/2 + 5*t - 1. Let f be m(5). Suppose 4*c - 3 = 9. Solve 0 = -c*u - f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 0*a + 2*a + 3. Calculate the lowest common multiple of r(2) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -98.124 and -296847.903.\nAnswer: -296946.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**4 + 145*d**3 + 7515*d**2 + 52955*d - 60610 = 0.\nAnswer: -19, -11, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 20 = -4*r, -4*r + 12 = 2*j - 0. What is the highest common factor of 36 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, x: 4}. What is prob of sequence xe?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -54, -125, -212, -315, -434, -569?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 58554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/5)\/(4\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*y + 31, -2*v + 62 = 4*y - 50. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/24)\/((-4)\/44*99\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 8*m**2 + 9*m + 2. Let x be a(-9). Solve -33 = -2*d + 2*r + 3*r, r + 13 = x*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91.14750037 + 91.1635. Let f = -0.016 + u. Round f to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciccczczcc. Give prob of picking 1 z and 1 i.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-308)\/66 + 5)\/(-1 + (-62)\/(-60))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) 0.3 (c) 5\/2 (d) -3 (e) -0.0574\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2. Let o(q) = q**2 - 828*q. What is b(o(u))?\nAnswer: u**4 - 1656*u**3 + 685584*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than 92\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3308658, -3308689, -3308720?\n\"Answer: -31*k - 3308627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 25 = 0, 5*a + 2*r - 5*r = 0. Which is bigger: a or -30\/19?\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2047*x + 25. Is p(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5272594 to the power of 1\/2, to the nearest integer?\nAnswer: 2296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 8:31 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-520)\/910 - (-43)\/14. Let u(r) = r**3 + 6*r**2 - 2*r - 6. Let t be u(-6). Which is the third smallest value? (a) 0.01 (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/117 - -8\/39. What is the nearest to 1 in m, -5, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 - -87. Suppose 206 + 142 = 6*x. Calculate the greatest common divisor of x and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 l when three letters picked without replacement from cclcccl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49bea - 116?\nAnswer: -49d11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -66. Calculate the remainder when 38 is divided by y\/2 - ((-172)\/(-8))\/(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1826*n = -1843*n + 221 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**4\/6 + 1544*z + 1. Let t(d) = -2*d + 12530. What is s(t(m))?\nAnswer: 8*m**2 - 100240*m + 314001800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10*f**2. Let s(x) be the first derivative of -509*x**2\/2 - 6056. Determine y(s(n)).\nAnswer: -2590810*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 76984602 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by 2\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -0.2 (b) 6 (c) -0.22 (d) -5\/4 (e) 22\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) 0 (c) -35019 (d) 2\/15 (e) 0.2 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1007 - -13?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 22*j**2 + 3655*j + 107085. Determine v(-28).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 186 + -195. Let v = 1181\/7 - 169. Sort 0.4, v, j.\nAnswer: j, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-42)*(-28)\/(-8)*(-20)\/(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z + 3*z - 2*z + (2*z + 3*z - 4*z)*(-5 + 3 + 4) - 16*z - 52*z + 81*z in the form h + l*z and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 109 and 106 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3420\/(-133))\/30*(0 + 55434\/9). Is q < -5278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/4)\/((-8)\/(-4)). Suppose -k - 4*k + 60 = b. What is the lowest common multiple of k and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8075807 or -0.25?\nAnswer: 8075807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*s + 15. Solve -5*x = -2*x + s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55231080 by -7801.\nAnswer: 7080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (38 - 48)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1573) + 2 + sqrt(1573)) - (sqrt(1053) + 3*sqrt(1053) + 2 + sqrt(1053)).\nAnswer: -133*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o\/(o*o*o*o**3*o)))*o)\/o**3)\/((o*o**(-1\/3)*o)\/o)**(6\/13)*(o**(-2\/9)*o**3)**(-4\/11) assuming o is positive.\nAnswer: o**(-10705\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-18)*((-1880)\/370 + 5) and -127\/24?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/8*(-3)\/3. Put 0, b, -2\/3, -5\/4 in ascending order.\nAnswer: -5\/4, -2\/3, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 759627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 485604 and 196308?\nAnswer: 9226476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 41333196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, -6, -279, -3, 33.\nAnswer: -279, -9, -6, -3, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 38, 60, 84, 110, 138?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*u - 20 - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**8\/336 + 263*m**6\/60 + m**5\/30 - 7*m**4\/6 + m**3\/2 + 23*m**2 - 2*m - 1. Find the third derivative of t(y) wrt y.\nAnswer: 60*y**2 + 3156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 23 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*s - 69 = 97*s - 192*s + 17*w, 0 = -4*w - 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55981.\nAnswer: 17, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 4:43 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/28 - (6\/(-21))\/1. Let w(g) = -g - g**2 - g**2 + 11*g**3 + 4*g**2 - 1 + 10*g**3. Let j be w(h). Solve 3*v = x + 3, j = 5*x - 0*v + 3*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-45) - (-76)\/18. Factor 2*m - 4*m + m**2 - v + m**2.\nAnswer: 2*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c, z - 3 + 6 = 3*c. Calculate the remainder when 473 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(17) + 1 + 5.\nAnswer: sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14258 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l. Suppose -4*y + 72 = 2*y. Let w(n) = -y*n + 29*n + 0*n. Calculate w(q(c)).\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1.0837.\nAnswer: -0.21674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 0*g + 36168 = -2*g + 36106, 7*g + 224 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d**3 - d**2 + d - 1. Let v be g(1). Let f = v - 7. Let w be (-3)\/9 - (-2*3)\/3. Is f bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 101. Let h be (-14)\/4*(-37 - -47). What is the tens digit of u(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -549749\nAnswer: 549749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22844148.\nAnswer: 2, 3, 31, 61409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 202021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -21*k**3 + 2*k**2 + 2*k - 15. Let m(u) = u**3 + u**2 + u - 2. Calculate 2*m(d) - q(d).\nAnswer: 23*d**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-1)\/8 - (-3)\/(-18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14170686671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1748 + -5245\/3. Let o = 3241096\/68865 - -10\/4591. Let w = -236\/5 + o. What is the biggest value in w, -2, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10654 - -10643. Sort -8, 9, 5, n in ascending order.\nAnswer: n, -8, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*n - 11 - 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 1. Suppose 3*p + 2*p = 30. Let s = i + p. Calculate the greatest common divisor of s and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**2\/3 + 1060530*l - 6363200\/3 = 0.\nAnswer: -636320, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 7*m. Let h(z) = 2*z**2 + 8*z. Determine -2*h(o) - 3*l(o).\nAnswer: 2*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/((-3795)\/75)*((-144)\/(-60))\/(-3)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -146\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 4*k + 5. Let n be z(-2). Let l(w) = w**2 - 2*w + 3. Let j be l(2). Is 3 a factor of 3\/j + 0 - (n + -21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c**2 + 19*c - 35. Let n(q) = -6*q**2 + 18*q - 34. Let p(v) = -6*n(v) + 5*t(v). Calculate the remainder when 134 is divided by p(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36436 + 1073*r**2 + 36436.\nAnswer: 1073*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 330591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 6. Put -1, w, 0 in increasing order.\nAnswer: -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 5:48 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**7\/210 + 4*g**3\/3 - g**2 - 10*g. Let h(m) be the first derivative of y(m). What is the first derivative of h(b) wrt b?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-2440934.\nAnswer: 7322802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/(-5*(-1)\/4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 11:45 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -238 - 11*s + 240 + 5*s. Let a(v) = -v**2 + 5*v + 22. Suppose -4*f = -f - 6, -3*o = 4*f + 1. Let n be a(o). Determine p(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/44 (b) 2 (c) -2\/19 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*d - d**2 + 57*d + 37*d + 5*d**2 - 5*d**3 as m + q*d**2 + l*d**3 + c*d and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8920.3 + -8920. Which is the nearest to 2? (a) -0.1 (b) y (c) -0.02 (d) -0.032\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10 = 2*d, 30 = -0*c + 2*c + 2*d. What is the remainder when c is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 1491\nAnswer: -894.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2)*120\/(-240) - 21\/18.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m**3 - 38*m + 15*m**3 + 38*m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 7251652010789.\nAnswer: 7251652010784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 428265, 856559, 1284871, 1713207, 2141573, 2569975?\n\"Answer: n**3 + 3*n**2 + 428278*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20314, 29799, 39284, 48769, 58254?\n\"Answer: 9485*c + 10829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 7 - (-740)\/(-222)) + 6\/(-2)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*c**2)*(-50*c**2 - 140*c**2 - 13*c**2) + (2*c**2 - 1 + 1)*(-4*c**2 - c**2 - 9*c**2).\nAnswer: 378*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -507 + 0?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u - 21*u - 2718 = -191*u for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 364 + -364.2. Which is the closest to -97? (a) -1\/6 (b) -2\/11 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3869 and 35843.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, y: 1, r: 1, o: 1, p: 1}. What is prob of sequence om?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -4, -45565, -2\/9 in ascending order.\nAnswer: -45565, -4, -1\/2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 - -59 - (-11 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(0 + 1) + -1. Let i(d) = d**3 - 2*d**2 - 8*d + 2. Let g be i(4). Let t be 5\/g - (-77)\/(-22). Sort t, 5, p.\nAnswer: p, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 2, m: 3, y: 3, k: 1, c: 1}. Give prob of sequence bxxk.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 6. Let x(p) = -p**3 - 5*p**2 + 6*p - 5. Let d be x(-6). Let l be v(d). What is the highest common factor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*u**3 + 9*h*u**2 - 16*h*u - 56999*u**3 with respect to h.\nAnswer: 2*u**3 + 9*u**2 - 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.032, -6\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3951 + -3951. Factor -21\/4*h**4 + i - 3*h**2 + 12*h**3 + 0*h.\nAnswer: -3*h**2*(h - 2)*(7*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 3\/2, -13440 in descending order.\nAnswer: 3\/2, -13, -13440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 21 = -f, 3*x - 2*x = 5. Let u = 5 + f. Let o(i) = 0 + u + 3*i + 0 + 0. Let a(q) = q. Give -5*a(d) + 2*o(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - z**2 + 11*z + 3. Let g(j) = -11*j**3 - 13*j**2 + 133*j + 54. Let o(u) = -g(u) + 12*s(u). Suppose 0 = 3*a - 7*a. Give o(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19741.922 + 19779. What is r rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1217 + 193 = 47*m. What is the remainder when m is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydy when three letters picked without replacement from {d: 7, y: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*-2*((sqrt(156) - sqrt(156)*-1)\/sqrt(12))**2 - ((-1 + sqrt(26)\/sqrt(2))**2 + sqrt(13) + (sqrt(13) - (sqrt(468) + 2)**2))) + 3).\nAnswer: -4385 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkzz when four letters picked without replacement from vzzkvkkvkvv.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1\/5 (c) -4 (d) 18\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3*2*((sqrt(468)*-2 - sqrt(468))*2 + (sqrt(468) + 1)*-5) + 5)*1)**2.\nAnswer: 166320*sqrt(13) + 12238998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30038 and 874?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2095323 + 0.1.\nAnswer: -2095322.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8409955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**2\/8 + 45*b\/4 - 1353\/8 = 0.\nAnswer: -41, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1196*i**3 + 2*i**2 - 8*i + 7. Let g be m(1). Suppose 0 = 11*p - 8*p - g. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 90 + -53 + -1 + 0 + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86721.26 millennia in years?\nAnswer: 86721260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 650\/102839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1519 times -4.154\nAnswer: 6309.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2. Let p(l) be the first derivative of -2 + 2\/3*l**3 + 0*l + 0*l**2. Give r(p(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221002 + -2012?\nAnswer: -1000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**2\/3 - 10726*t\/3 + 71240 = 0?\nAnswer: 20, 5343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Suppose r*n = -n + 184. Suppose 0 = d + 3, -5*p - 8*d + 7*d = -57. What is the remainder when n is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1033*v - 2*q = -1032*v - 2068, 8280 = 4*v + 4*q. What is the highest common divisor of v and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -18316*r**2 + 35916*r - 9. Let c(t) = -13743*t**2 + 26937*t - 7. Let g(f) = -9*c(f) + 7*m(f). What is the second derivative of g(u) wrt u?\nAnswer: -9050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/119 + 244\/357. Let u(h) be the first derivative of 2 + 0*h**4 + 2\/5*h**5 - b*h**3 + 0*h + 0*h**2. What is the third derivative of u(o) wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 479?\nAnswer: -47e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000505336978 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -15519*p**3 + 7293927*p**2\/2 + 22161837*p\/2 + 1071 = 0.\nAnswer: -3, -1\/10346, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoptpoplopttpppo. Give prob of picking 3 t and 1 e.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 199130, 199255, 199464, 199757, 200134?\n\"Answer: 42*w**2 - w + 199089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 2892.\nAnswer: 20244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**2\/7 + 24*o\/7 + 76 = 0.\nAnswer: -14, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, e: 1, b: 2, p: 2, m: 1, a: 1}. What is prob of sequence eub?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3532?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -21, 95, 211, 327, 443?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109 - 111. Let n(i) = i**2 + 3*i - 1. Let g(x) = x. Let p(u) = -5*g(u) + n(u). Calculate p(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*b - 18, -3*b - 14 = -3*c + 13. Let u(i) be the third derivative of -i**6\/120 + i**5\/12 + i**4\/4 + 7*i**3\/6 + 2*i**2. Is u(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9633215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7))**(-21\/8)\/(c\/(c**(-5)\/c))**(-39) assuming c is positive.\nAnswer: c**(2331\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 bigger than -2\/201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 240*o**2 - 9838*o - 46. Give b(41).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mimm when four letters picked without replacement from {m: 12, i: 7}?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58430029.\nAnswer: 7, 8347147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umu when three letters picked without replacement from rmurrrrmrmmrrrrurrm?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5803340 by 20.\nAnswer: -290167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200 + 210 + 3*v - 663 + 216 - 2*v + v.\nAnswer: 2*v - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1055616 (base 7) in base 13?\nAnswer: -47c1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((157\/314)\/(1\/(-7)))\/((-2)\/28)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*o**2 - 4*o**4 + 24*o**2 + 20*o**2 - 75*o**2 - 5*o + 1 + o**4 - 2*o**3 as c*o + t*o**4 + k*o**3 + j + y*o**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 - 29. Let p = -45 - q. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/271116 and 5\/192168?\nAnswer: 85130424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 170*c - 260 - 2290 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 - -222?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.86206439 and -676.\nAnswer: -675.13793561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -429, -352, -275?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o + 15 = 0. Let g(l) = 3 + 7*l + 0 - 7. Let p(h) = 2 - 1 + 0 - h. Give o*p(c) + g(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.3 + -7. Which is the closest to 0.1? (a) -4 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*f - 2*f. Let u(y) = 5*y**2 + 28*y + 51. Let l(x) = -x**2 - 5*x - 10. Let d(r) = -11*l(r) - 2*u(r). What is the units digit of d(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from umnmnnnnnn?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1034a6 - 38?\nAnswer: -103511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 123934 = 120322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2785 is divided by 133.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*k**2 + 43*k**2 + 3*k**3 - 110*k**2 + 34*k**2.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4778 and 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002382 to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*m + d**3 - 243*d**2*m + 15*d**2 + 25*d*m + 928*m + 1 wrt d?\nAnswer: 12*d*m + 6*d - 486*m + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 28*r - 25*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1644, 4, 463, -4, -1 in decreasing order.\nAnswer: 463, 4, 2, -1, -4, -1644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24222 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 2114?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 1. Let z be p(5). Let w = z - 8. Let s be (112\/42)\/(w\/(-6)). Calculate the greatest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 - 105*x + 30. Let w be c(0). Solve -w*g + 20*g = 40 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5 - 125337 - 96*d**2 + 125337 + 194*d**3 - 100*d**4.\nAnswer: 2*d**2*(d - 48)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**1))\/q)**(3\/4)*q**(2\/19)*q*q**(-2\/5)*(q\/(q*q*q**(-1\/7))*q*q**1)**(1\/2) assuming q is positive.\nAnswer: q**(849\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 18*n**2 + 17*n + 6. Let f be s(17). Let g = 24455\/6 + -4088. Calculate the common denominator of g and f\/(-2) + 5 + (-101)\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 652*z + 3256\/5 + 4\/5*z**2 = 0. What is z?\nAnswer: -814, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-4)*3\/6. Let z be (45\/21 + -2)*-1. Let s = -130 + 908\/7. Which is the closest to 1? (a) z (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/27038879 and -50\/53519?\nAnswer: 2947237811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 12\/7*d + 12\/7*d**2 + 0 + 15\/7*d**4 - 39\/7*d**3 = 0.\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*p = -35*p - 946 - 334 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 15, 114 in decreasing order.\nAnswer: 114, 15, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*h - 15 = 2*w + 427*h, 68 = 4*h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15790.65664546 and 140?\nAnswer: 15930.65664546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 554966.\nAnswer: 554969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**9*w*(w**(1\/5)\/w*w)\/w assuming w is positive.\nAnswer: w**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 38*h + 2. Let y be c(38). Suppose -12*j - 7 = -b - 11*j, 5*b - 23 = y*j. Solve 0 = -z - 2*f + b*f + 9, -11 = z + 3*f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(405) + sqrt(405) - (sqrt(5) + sqrt(10)\/sqrt(2))*5)**2.\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12169, -12176, -12183, -12190, -12197?\n\"Answer: -7*k - 12162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 10 = -3*m, -5*l + 30 = 4*m - 3*m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 9. Let t be v(13). Let b(q) be the first derivative of -1\/7*q**2 - 1 + 1\/14*q**t - 2\/21*q**3 + 0*q + 2\/35*q**5. Suppose b(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3200768? (a) 2 (b) -4\/3 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 13*q**2. Let d(x) be the first derivative of 2*x**2 + 13. Determine d(s(t)).\nAnswer: 52*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - 32*f + 1 + 32*f.\nAnswer: -4*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 3. Suppose 0 = -7*m + 2*m. Solve n = -m*n + v, v = -r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -10. Suppose -2*f = -5*l + o, -3*l + 2*l + 3 = -f. Suppose -2 = -l*b, -5*v - b + 914 = -42. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1898833 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-366)\/42 + 4\/(-14). Let v be (-3 - -4)*1 - q. Suppose 0*n = n + 2*b - v, -3*b + 16 = 2*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7242 = -3*q + 2*r - 2570, -q - r = -1569. Does 142 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6624764\/9 - 735314. Let o = b + -69773\/90. Find the common denominator of -101\/6 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1825 and 262654?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.6 times -0.033?\nAnswer: -2.3958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-55) - 323\/65)\/(3 + 774\/(-234))\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 k when three letters picked without replacement from {k: 4, h: 9, o: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27353400 divided by 100?\nAnswer: 273534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**6*h)\/(h*h**1)*(h**(-2))**(1\/45))**(-1\/25))**(-4) assuming h is positive.\nAnswer: h**(892\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 4:24 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -6. Solve 0 = v + 4 - p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Let q(s) = -5*s + 5*s - 30*s**2 + 27*s**2. Determine p(q(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 721 by -46.\nAnswer: -721\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*w - 71*w + 32*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4783, 4815, 4855, 4909, 4983, 5083, 5215?\nAnswer: 5385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 - 4452911.8.\nAnswer: -4452911.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 133.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 7*u + 6. Let x be s(6). Let m be (-9)\/9*((-2 - x) + 0). Suppose -m*g = g - 30. What is the remainder when 16 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2016*w**3 - 2 - 7468*w**3 + 2011*w**3 + 3438*w**3 + 2.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-268)\/((-2 + -2)\/(-4) - 3). What is the units digit of ((-3)\/(-12)*2)\/(1\/j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 414 divide 169326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-2)*(-90)\/(-195).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*m + 38*m - 116*m.\nAnswer: -35*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/((128\/(-61168))\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/2 - 115*f**3 + 12653*f**2\/2 - 43508*f.\nAnswer: f*(f - 149)*(f - 73)*(f - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from cclrlcllci?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 1. Let s be 46\/10 - 4\/(-10). Suppose 8*a + s = 3*a. Give w(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 527 + -534. Let u be 92\/322 - (-16)\/q. Are -35\/16 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 divided by 138.\nAnswer: 53\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*v = -80*v + 37*v - 1728 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 208365 divided by 479\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-1) - (5 + -7). Let m be (-24)\/(-28) - (o + 1). Sort -2, m, 0.2 in decreasing order.\nAnswer: 0.2, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**3 + 81735*y**2 + 177080540*y = 0.\nAnswer: -1937, 0, 18284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 15 = -5*x. Let p be x\/(-6) - (-33)\/6. Solve 0 = 3*u, 4*f - u = -p*u - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 265 = 2*y - 3*y, 0 = y + c - 257. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/87 at least -632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 60 = 7*p. Suppose -5*h = -3*h + 5*h. Solve h*d + p = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40248927, -80497855, -120746783, -160995711, -201244639?\nAnswer: -241493567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 31 = v. What is the tens digit of 156\/v + (-2)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 4 + 387642\/132. Let r = m - 2936. Find the common denominator of r and -51\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4256937827.\nAnswer: 4256937827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -169.741 + 169.641. Let i be 1 + (-1)\/((-19)\/(-16)). What is the third biggest value in -3\/2, p, i?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -164482.116 to the nearest ten.\nAnswer: -164480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 31, 9, -21, -59, -105, -159?\n\"Answer: -4*v**2 - 2*v + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509650347 is divided by 825?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + 6. Suppose 3*l = 85 + p. What are the prime factors of l?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249642 is divided by 5652.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -487 (base 10) in base 7?\nAnswer: -1264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1120 - 0?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 0.1, -230?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = -75 - 13. Let p(c) = 70*c**2 + 23*c + 46. Is p(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 12 + 12*g**2 + 66 + 18*g**2 - 23 in the form l + x*g + n*g**2 and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = 26*g + 747. Let r be 8*1 - (g - -90). Let w = 0 - -5. Which is the biggest value? (a) r (b) -2\/27 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61\/4 - -15. Let k = 56.903 - -0.097. Let x = -46 + k. Does j = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 34*n + 16. What is o(14)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -4*y - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.041009 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**4 + 10401*h**3 + 6350928*h**2 + 1078361076*h = 0. Calculate h.\nAnswer: -2743, -362, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 95\/(-38)*2*-1. Let q(s) = 9232*s**3 + 2*s**2 - 2*s + 1. Is q(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 8. Suppose -r - 135 = -l*r. Suppose -35 = -2*g - 4*z + r, -2*z - 6 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = h - 35. Let w(i) = i**2 - 19. Let y be w(h). Suppose 2*f + y = 4*u, 5*u + 0*f - 5*f - 135 = 0. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 4. Solve 4*f - q + g*q = -24, 9 = -3*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/2 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 4. Let w = 79 + a. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.4 in 2, 4, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**5\/20 - 5*k**4\/6 + 5*k**3\/3 + 6*k**2 - 4*k. What is the tens digit of h(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*sqrt(11) - (sqrt(11)*-5 + 3)**2.\nAnswer: -284 + 46*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18461 - -31969. List the prime factors of f.\nAnswer: 2, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312 by -12.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52.911 + -0.911. Let m = 47 - b. Let g be 6\/88 + 2\/(-8). What is the third biggest value in m, -1\/4, g, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d - 25. What is the remainder when 98 is divided by k(-12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 1. Suppose -2*b + k + 0*k = 0, 3*b - k = -2. Let q be y(b). Suppose -q*u - 16 = -52. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2079 and 11637.\nAnswer: 896049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*m**3*x**2 - 2*m**3*x + 8*m**3 - 807*m**2*x + 2*m*x + 1082*m + 34*x**3 - 5414*x**2 + 4 wrt x?\nAnswer: 52*m**3 + 204*x - 10828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -584, -1174, -1768, -2366, -2968, -3574, -4184?\nAnswer: -4798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -36873371\nAnswer: -2\/36873371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 2\/(-4)*2. Suppose -r + 9 = -2*k, k = 3*r - w*k - 12. Let y = -6 + 12. Solve r*v = f + y, 0 = -2*f + v - 0*v - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7644 and 16289.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**2\/3 + 530572*m\/3 + 1061152\/3 = 0.\nAnswer: -2, 265288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2167 + 0.0157. Let j = g - 3.359. Let s = j - 0.44. What is the second smallest value in -2\/15, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.049.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (396\/45 - 9)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/((o**(1\/24)*o)\/o)*o)\/(o**(-2\/39)\/o) assuming o is positive.\nAnswer: o**(417\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -3 (b) -68 (c) 1\/5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5852 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (7 - 7) + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.72 - 0.28. Suppose 0 = -2*v - 2*v. What is the nearest to v in -5, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -16*h**2 - 5*h + 44. Let m(i) = -9*i**2 - 3*i + 21. Let l(z) = 5*m(z) - 3*u(z). Factor l(d).\nAnswer: 3*(d - 3)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 0.7. Let g = 4.5 - 5. Which is the third smallest value? (a) 3\/4 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7091619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 3. Let m(c) = 12*c**2 + 34. Determine 6*m(z) - 68*r(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/28)\/((-6)\/21). Let j be 775\/(-448) + 0 + v. Let a = 1\/64 + j. Sort -0.5, 0.5, a in descending order.\nAnswer: 0.5, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2161.092597 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (9 - 14)) + (5 - (4 + 0)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okko when four letters picked without replacement from {o: 8, k: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 207587?\nAnswer: 207590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*t = -7. Let y be 4\/(-14) + (-2)\/t. Suppose 0 = 4*b - 8 - y. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 2*o + 550. Let v(z) = -z + 539. What is -2*k(c) + 3*v(c)?\nAnswer: -2*c**2 + c + 517","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h - 10980 = -17*h - 4*b, -5*h = -b - 27461. What are the prime factors of h?\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 25*l**2 - 19*l + 37. What is b(3)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2 + 3 - 4) + (252 - 416) + 207.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 5*p - 8)*((4*p + 3*p - 5*p)*(2*p - p + 0*p) + 0*p**2 + p**2 + 3*p**2) to c*p + q*p**3 + u*p**2 + x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -144, -182, -256, -378?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 105 - (-109 - -75) - 137\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f3446 (base 16) in base 10?\nAnswer: 996422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -354 + 219. Let h be (-30)\/v - (-34)\/9. Suppose -3*x + 0*a + a = -13, h*x = -a + 15. Calculate the greatest common divisor of x and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64371*z**2 - 181601*z?\nAnswer: 128742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1916 - 645 = 35*k - 286*k - 1992 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 732.\nAnswer: 15372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10}. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16819 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**2\/3 - 2620*w\/3 - 2624\/3 = 0.\nAnswer: -1, 656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2902*y + 17412. What is v(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 168*h**2 + 657*h - 260. Give i(164).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*p + 10765 - 10765 + 75*p.\nAnswer: -99*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*v = 8, 6*q = q + 4*v + 2. Let b be 34\/17 + (0 - q). Solve b*f - 6 = -2*n, -9 - 4 = 5*n + 3*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304, 83, -280, -779, -1408, -2161?\nAnswer: -3032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5018980037.\nAnswer: 83, 60469639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y. Let d(s) = -s. Let v(a) = -3*d(a) + x(a). Let f = 10 - 13. Let n be v(f). Is n < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus -64?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 8718?\nAnswer: 8715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1965 + 397 + 39 = 49*w for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -33 - 2. Let t(d) = d**3 - 7*d**2 + d + 9. Calculate the least common multiple of t(i) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lde when three letters picked without replacement from bldrrle.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 - -0.77. Let f = 0.5 - b. Let t be (-8)\/104*-15 - (-2)\/(-13). What is the biggest value in t, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n + 6. Let h(a) = -4*a - 6. Let i(g) = -4*h(g) - 3*q(g). What is the units digit of i(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 815138 and 9910362.\nAnswer: 188296878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one halves of a millisecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6644660 is divided by 936.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 + 4*j**2. Let p(o) = o**3 - o**2. Let s = -4 - -43. Let a = 35 - s. Give a*p(i) - q(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -113922.559 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:39 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32324\/5725 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29731687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 q when three letters picked without replacement from hzzqz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lullllulculuuluucu. What is prob of sequence ucu?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 63 - 86 - (-5 - (-4 - (-7 - 1) - 3))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 99*b**2 + 9*b + 36. Let f be d(-4). Suppose -7*m = -1398 - f. Let t = m - 212. Does 23 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.5 - -10.5. Sort 1\/5, 4, -3, l in increasing order.\nAnswer: -3, 1\/5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 17. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + (sqrt(10) - (sqrt(10) + sqrt(30)\/sqrt(3)))\/sqrt(5) + -1 + sqrt(2) + 0 + 0 + sqrt(6)\/sqrt(27))**2.\nAnswer: 2*sqrt(2) + 11\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l + 68 = -4*w, 3*l = -2*w + 102. Let q = l - 34. Solve -2*s = -q*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0105 * 0.4\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 9*y + 31 = 2*p, -p + 21 = 5*y. Calculate the lowest common multiple of p and 2060.\nAnswer: 8240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-130*q**3 - 130*q**3 + 78*q**3)*(-27*q - 34 + 34) to a*q**3 + d*q**4 + m*q + w + p*q**2 and give d.\nAnswer: 4914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3024 and 1512?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**2 + 140*x - 3331. What is the tens digit of j(37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.1. Let n(k) = 5 - k + 5*k - 3*k. Let t be n(-5). Is t at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 945643, 945642, 945641, 945640, 945639, 945638?\n\"Answer: -b + 945644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**2*v**2 - 20*n**2*v + 30953*n**2 + 118231*n*v**2 - 3*n*v - 3*n wrt n?\nAnswer: -2*v**2 - 40*v + 61906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 3, 6, 11, 18, 27, 38?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -2 + 1 - (-9)\/(-3)*-57 and 55.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(43 - 29 - 14 - 396*v**4).\nAnswer: -792*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 12:33 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 28 = a + 5*i, -2*a - 4*i = 14. Let p be (-1 - 2)\/a - -3. Let y(h) = 4*h. Calculate y(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98 greater than or equal to -128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 6916?\nAnswer: 34580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-3 - 0) + 4. Suppose -4*i + 0*j - a = -j, -5 = -3*i - j. Solve i*p - 3*l = -2*p - 16, -p = 2*l - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 323 = -355 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -21.03. Are -19 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/559 and 22\/871?\nAnswer: 37453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w + 5. Calculate l(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7377 - -7310. Which is the third biggest value? (a) g (b) -0.5 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3080, 15224, 35464, 63800, 100232, 144760?\nAnswer: 197384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 3 = 50*y - 51*y, 6 = -2*j - 2*y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)*d)\/d**8)**(1\/4)\/(d\/(d*d*d**(-2)*d)*d*d*(d\/(d*d\/(d*(d\/(d**(3\/7)*d*d))\/d)*d))\/d*d*d)**(-5) assuming d is positive.\nAnswer: d**(-123\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + 44*y**2 - 11*y + 113. Is 43 a factor of u(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 + 0)*(a - a + 2*a)*(-12835*a + 2 + 0 + 12650*a) to y*a + d + v*a**2 and give v.\nAnswer: -1110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 17. Calculate the remainder when 1 - 23\/((21\/6)\/(-7)) is divided by r(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 3)*91\/(-26). Suppose 8*x - 46 = 90. Solve -2*q + q + f = 2*d, -3*q + x = 2*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010100 - -1100?\nAnswer: -111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/13 - 3060\/(-390). Let p(f) = f**3 - 9*f**2 + 13*f - 9. Determine p(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 3*p**2 - 3*p - 3. Let z(o) = o**2 - o + 2. Let n be z(0). Let d(q) = -7*q**n + 2*q - 7 - 4*q + 3*q**3 - 5*q. Calculate -3*d(g) + 7*h(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 25599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -1891?\nAnswer: -1887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (282\/4)\/(18\/24). Let z = -34 + a. Calculate the remainder when z is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 12*n**2 + n**2 + (2*n - 2*n + 2*n)*(n + 0*n - 2*n) + 0*n - 3*n**2 + 0*n - 4*n**2 - 3*n**2 + 2*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2583 + -2547. Solve -54*n + v*n + 34*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.72 - 2.82. What is the nearest to u in -2\/5, 0, 1\/2, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10377 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 10061, -3, -1 in increasing order.\nAnswer: -3, -1, 4\/7, 10061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + 575. Let b = g - 283. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/426198 and 73\/65511?\nAnswer: 37079226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23567\/6*(-18)\/10. Let b = 7082 + u. What is the common denominator of ((-234)\/20 - -1) + 0 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -70?\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/9)\/((-12)\/(-6))*(-26076)\/212)\/(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 287 divided by 1240770\nAnswer: 287\/1240770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -37*s - 1. Let p(q) = 13*q. Let y(g) = -11*g. Suppose -25 = 96*i - 101*i. Let b(j) = i*p(j) + 6*y(j). Give d(b(h)).\nAnswer: 37*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, t: 7}. What is prob of picking 2 t and 1 x?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 2997?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 711355?\nAnswer: 711350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26952 - 754639\/28. What is the common denominator of y and 97\/7700?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-12)*(-8)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, -5, -44, -129, -278, -509, -840, -1289?\n\"Answer: -3*q**3 + 4*q**2 - 2*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 12*s. Let x(u) = -6*u**2. Determine x(o(a)).\nAnswer: -864*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1202.7 - -46\nAnswer: 1248.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -16, 399, -5, 0.31?\nAnswer: 399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 113 = g, -4*g - g - 10 = 0. Let x = -29 - b. What is the remainder when 30 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 + 2*h + 1. Let t be (1\/1)\/(4 + -5). Determine m(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -a - 23, 3*k = 9*a - 4*a + 123 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**4 + 5*j**3 + 10*j**2 - 6. Let y(t) = -2*t**4 - 9*t**3 - 18*t**2 + 11. Let f(m) = 11*n(m) + 6*y(m). Factor f(z).\nAnswer: -z**2*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 3*y**2 + y + 22. Let t(i) = 2*i**3 + 6*i**2 - 3*i - 43. Let d(b) = -7*a(b) - 4*t(b). List the prime factors of d(-4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*b + 56 = 0. Let q(d) = 19*d - 18*d + 1 + b*d. Is 8 a factor of q(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((16 - 11) + 3*195\/18).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from {b: 1, y: 5, q: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47707 - 23793. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 503 - 502.9. Put 3\/5, -0.14, c in descending order.\nAnswer: 3\/5, c, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 10. Let n be p(-12). Suppose 4*z = o + 165, n*o + 0*o = -z + 48. Suppose 0 = -4*l + 86 + z. What is the greatest common divisor of 48 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6*i = -2. Solve 2*z - 3 = -s, -i*z + s + 2 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**5\/13 + 2*g**4\/13 - 34*g**3\/13 + 28*g**2\/13 = 0. Calculate g.\nAnswer: -7\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -153543.8773 less than 0.00576?\nAnswer: 153543.88306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 7. Let y be h(8). Let r = y + 6. Let g = r + -3. What is the remainder when g is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5\/3 - 4*r**4 - 26*r**3\/3 - 8*r**2 - 8*r\/3.\nAnswer: -2*r*(r + 1)**2*(r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**33*j**26*j\/(j*j**21)*j*j**(-13\/3) assuming j is positive.\nAnswer: j**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3034\/3 + -1033. Calculate the common denominator of (-10)\/45 + (-2235)\/(-216) and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 9 - (29 - 45)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4860*j + 48604. Let y be g(-10). Factor 8\/7*a**3 + 0 + 0*a + 4\/7*a**y + 0*a**2.\nAnswer: 4*a**3*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 21) + 14 - (22 + 24 + -25)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 10:07 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwd when three letters picked without replacement from {d: 2, u: 1, w: 1, f: 4, q: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30608512 is divided by 10202815.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2057860*t**3 - 10471655?\nAnswer: -6173580*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f - 17*f - 1963*f**2 - 553*f**2.\nAnswer: -2516*f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204590891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/840 and -107\/34720.\nAnswer: 104160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 12:24 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 94120, 4, -11 in ascending order.\nAnswer: -11, -1, 4, 94120","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sort 282, -316, -4, -5 in ascending order.\nAnswer: -316, -5, -4, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31312677*p + 58265729.\nAnswer: -31312677","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 2:55 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10\/3 (b) -1\/3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85*p - 70*p - 2565. What is the remainder when p is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 at least as big as 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 12, 0 = 5*g - 0*t + t - 6. What is the second derivative of 3*s - 3*s**4 - g*s**4 - 5*s + s**4 wrt s?\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3, 1\/2, 5, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 348043 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 9. Let v(z) = -z - 1. Let t(f) = -f + 1. Suppose -4*w = -6*w + 6. Suppose -3*q - w = -0*q. Give p*t(b) + q*v(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*s + 206 = -5*o, 0 = -4*o - 5*s - 273. Let c = 73 + o. Suppose 5*a - 90 = 30. Calculate the smallest common multiple of c and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.031 - -43.969. Let q = a - 43.999927. What is q rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z - 10*z + 75 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4 = -4*p + 3*v, 3*v + 8 = 5*p. Solve p*l + r + 11 = 4*r, -4*l - 9 = -r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135995 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11146\/777 + -3\/259. What is the common denominator of f and 29\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w = 3072 + 1546. What are the prime factors of w?\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76922.86 nanoseconds in microseconds?\nAnswer: 76.92286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -294, -1157, -2590, -4593, -7166, -10309?\n\"Answer: -285*n**2 - 8*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 253 + -208. Calculate the remainder when 493 is divided by o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/225840 and 97\/1416?\nAnswer: 13324560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**4 - 33*p**3 + 34*p**2 - 9*p - 6. Let r(j) = 3*j**4 - 33*j**3 + 32*j**2 - 6*j - 4. Let t(g) = 3*r(g) - 2*v(g). Let t(o) = 0. Calculate o.\nAnswer: 0, 1, 28\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 153 - 703. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-14))\/(1\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**7\/70 - f**5\/10 + 3*f**2\/2 + 9. Let j(q) be the second derivative of h(q). Find the third derivative of j(m) wrt m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k. Let z(h) be the second derivative of -h**4\/4 - 11*h. Give o(z(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 - 31*k**2 + 17*k - 36. Give v(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i + 0 - 17*i**2 + 22*i**2 + 8*i**2 + 2*i**3 + 1. Let x be k(-6). Suppose 4*v + g = 3*v + 3, -5*g - 21 = -4*v. Solve -v*b + x = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 5*d - 5 = 5, 2*d + 10 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 - 108 = -25*d - 17 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 3*x - 1. Let c(u) = -u**2 - 4*u - 2. Calculate -4*c(n) + 5*p(n).\nAnswer: -n**2 + n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-2))\/((-8)\/16). Let c(k) = -6*k**2 + 4 + 2*k**2 + k**u + k**3 - 5*k. Determine c(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 15*p**2 + 1 - 4*p + 17*p**2 + 1069*p**3 + 6*p - 4*p. Calculate the remainder when v(1) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-34)\/(-12291))\/(235\/(-15)). Is v <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 670*f**2 - 213*f + 211. Calculate the remainder when b(1) is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025298 to five decimal places.\nAnswer: 0.00253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3)**(-47)\/(w\/(w**(-5\/4)*w)*w*w**4*w) assuming w is positive.\nAnswer: w**(-593\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*2\/(2 - 0) - -296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6 - 4 = 0. Suppose q - 9 = -7. Suppose -14 = -q*y - 10. Is y smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-16 - (5 + -11))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57855208421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*d - 14, -5*d = -3*x - 15. Suppose 4*g - 4*u - 28 = 0, -4*g + 2*g - 4*u - 16 = x. Solve 0 = 8*q - 10*q + g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711737177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1723171441727 - 249\nAnswer: -248.8276828558273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/6922 and -24\/2467693.\nAnswer: 4935386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 3:00 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 15 = 5*m, -3*l + 24 = 5*m - 7. Solve l*s - 3*n + 6 + 7 = 0, -2*n = -3*s - 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -163*y. Let z(i) = 105*i. Let f(a) = -5*m(a) - 8*z(a). Let o(v) = 37*v**2. Calculate f(o(r)).\nAnswer: -925*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*a + 6, 2*a = 5*p + 7*a + 15. Solve p - 4 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*b - p - 20, 2*p = 5*b - 35. Suppose -b*m + 4*m + 22 = 0. Calculate the smallest common multiple of m and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.7492774 rounded to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/3)*u*u**9)\/(u**(-11)*u*u**0))**(-8\/7))**(-24) assuming u is positive.\nAnswer: u**(3904\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52736 and 87264.\nAnswer: 143811072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*2*(-31)\/(-403)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 3*w - 12, -10 = -2*w. Suppose -n + x = -2. Are 7 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y + 24 = 2*h + 49*y, -3*y - 24 = -2*h. What is the third biggest value in h, 1024, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 304 + -308. Let t be 4*8\/12 + i\/6. Let l be 4\/3 - 4\/(-6). Solve 0 = l*q - t + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1468, -105, 610 in descending order.\nAnswer: 610, -105, -1468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t. Let z be (-100)\/40*(-8)\/10. Let o(a) be the second derivative of 0*a**z + 4*a - 3\/2*a**3 + 0. What is o(u(i))?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112075335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:44 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1239 is divided by 83.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(48\/8)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from hbczvve.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.054 (c) 46 (d) -0.2 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, 0, 2, -2, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 14383.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107 + -77.6. Let p = 29.698 - d. What is p rounded to two decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54133.\nAnswer: 54133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70936928 or -354684639\/5?\nAnswer: -354684639\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 339.4 - 275. Let h = 63.4 - k. What is the third biggest value in 2, h, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*f - 47369, -10*s + 13*f = 16*f - 157969. Is s a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 2*a - 1. Let h be w(-1). Suppose 3*b + h = -9, 5*v = -4*b + 334. Let u be 2\/(1 + (-66)\/v). What is the greatest common divisor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.074*0.5.\nAnswer: -6.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1737 is divided by 340?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 7, 29?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 504\/(-32)*960\/840?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 49*l + 48*l + 0 + 6*l**2 to z + b*l + t*l**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -805?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14256 - 14180. Calculate the lowest common multiple of q and 1558.\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b = 27*b + 112. Which is smaller: -1\/2 or b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-45)\/(-6))\/(2\/4). Suppose 4*k = -w - k + u, 5*w = -4*k + 12. Factor 2\/5*p**2 + 2\/5*p**4 + w + 4\/5*p**3 + 0*p.\nAnswer: 2*p**2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 5*c + 9. Let r be o(-4). Solve 3*z - 3*t - 11 = -t, -4*z = r*t - 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyl when three letters picked without replacement from lllyqqyq?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 minus 7?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -6\/73, -0.3, 0.4?\nAnswer: -6\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 2896*k + 39760.\nAnswer: 4*(k + 14)*(k + 710)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-5))\/((-6)\/30). Suppose -n*l = -5*m - 38, 2*l + 0*l = 2*m + 20. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 21 + 9 = 0. Suppose k = -2*s + l, 0*s - s = 3*k - 35. Suppose 0 = -2*a - 5*m + k, m = 3*m + 2. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, 2\/13, -1765.\nAnswer: -1765, -94, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 - 11*p. Let b(f) = 192*f**2. Determine c(b(y)).\nAnswer: 147456*y**4 - 2112*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2832, 4420, 7076, 11334, 17728?\n\"Answer: 89*l**3 + 965*l + 1778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1535763 divided by -3.\nAnswer: 511921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = -23*v. Suppose v = -0*a - 3*a + 15. Suppose 0 = a*s - 4*q - 191, s - 5*q - 35 = -q. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 81290?\nAnswer: 81289.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 52 = 236. Let p = -3 + 3.1. Which is bigger: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -576, -1157, -1742, -2337, -2948, -3581?\n\"Answer: -q**3 + 4*q**2 - 586*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21189, -21183, -21181, -21183?\n\"Answer: -2*p**2 + 12*p - 21199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8 - 3 - 1)*(-6 + 2 + 2) + 0 + 3 - 1 + (2 - 3 + 3)*(1 - 2 + 3))*(-23*h + 29*h + 45*h).\nAnswer: -102*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 28\/((-16)\/4). Suppose -23 = -h*g - 7. Suppose 3*j - 84 = -g*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f - 90. Let q = f + -30. Suppose -3*r + 2*m - m + 13 = q, 0 = -3*r - 2*m + 19. Let u(y) = y**2 - 3*y - 4. Determine u(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5004493 - 2.344.\nAnswer: -5004495.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.32 and -0.6.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1388*r + 6819. Calculate d(5).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37.654 and -155.\nAnswer: -5836.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 - 4*q + 14. Let l be g(-7). Let d be 1665\/(-21) - 2\/(-7). Let j = d + l. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.376 and -10.8.\nAnswer: -11.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 96825, -5\/2, -1\/3 in descending order.\nAnswer: 96825, -1\/3, -5\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfhlmhmy. What is prob of picking 2 l and 1 f?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -3, -41, 333, -5, 0 in increasing order.\nAnswer: -41, -5, -4, -3, 0, 4, 333","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Divide -236 by -236.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r - 119. Give d(28).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1\/9, -173, -1, 0.6, 3\/4 in descending order.\nAnswer: 3\/4, 0.6, -1\/9, -2\/7, -1, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -906 + 903. Sort -1\/6, d, 5, -10 in increasing order.\nAnswer: -10, d, -1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4407 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6216\/(-2664))\/(7\/(-15)). Solve 0 = 3*g - 4*h + 25 - 23, -y*g - 5*h = 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2088.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 7:17 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -4*v**5\/5 + v**4 + 148*v**3\/3 + 70*v**2 - 455. Let n(o) = 0. Calculate o.\nAnswer: -5, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, -4, -16, -7, 1, 3 in ascending order.\nAnswer: -113, -16, -7, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -407 times -0.287357\nAnswer: 116.954299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 30135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 31721, 6, -4, -1 in increasing order.\nAnswer: -21, -4, -1, 6, 31721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -11*s**3 - 2132*s**2 + 390*s + 391. What is w(-194)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000936 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2311 + -2323101?\nAnswer: -2332012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 4*c - 3*c)*(2*c**3 - 3 + 0 + 1) to n + r*c + f*c**2 + z*c**4 + l*c**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogmmgmqpm. What is prob of picking 1 q and 1 m?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124171 is divided by 159.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659666?\nAnswer: 2, 7, 47119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 14344846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*k = 126*k - 288. Let m(t) = 55*t**2 - t. Let x be m(1). Calculate the greatest common factor of k and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29126431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z + 13. Let g be k(-9). Let q = g + -48. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1271)\/(-31) - 87) + 39 - (0 + 681\/(-97))?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2032 + -2033.131. Let c = 0.366 + p. Let z = c - -0.57. What is z rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.16855 milligrams in kilograms?\nAnswer: 0.00006816855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36981.\nAnswer: 3, 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**4\/4 - 2*a**3 - 144*a**2 + 106*a. Factor m(t).\nAnswer: 3*(t - 12)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*w - 7*w**2 - w - 18*w + w**2.\nAnswer: -6*w**2 - 51*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18644880 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1193465 and 5915.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 1:59 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 8\/9, 4, -0.4, -1480?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -15*b + 3785. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + 2. Suppose m*j + 11 = 32*j. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(117)*3)\/(2*sqrt(441)))**2 + ((2*sqrt(117)*1)\/sqrt(9)*-2)**2 + 5.\nAnswer: 10554\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1019 + -1019. Which is the nearest to -7\/4? (a) i (b) -2 (c) 0.1 (d) 15\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -9.5. Let m = 0.499975 + b. Round m to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 4*z**5 + 0*z**5 + (z**4 + 0*z**4 + 2*z**4)*(5*z - 3*z + z) + (3*z**3 - 2*z + 0*z - 6*z**3)*(-4*z**2 + 0*z**2 + 3*z**2).\nAnswer: 14*z**5 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -21, -5 in ascending order.\nAnswer: -21, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 104641 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 3*l + l. Let s be 3\/(-12)*l + (-2)\/(-4). Are s and 43\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**3\/4 - 38823*y**2\/2 + 271614*y = 0.\nAnswer: 0, 14, 25868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(15)\/sqrt(3) + 3 + 2*sqrt(15)\/sqrt(3))**2.\nAnswer: 24*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.6 - 3.6. Let h be 60\/(-80) + 142\/168. Sort n, 1\/4, h in ascending order.\nAnswer: n, h, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2 - 9*j**2 + 15*j**2 + 0 + 2*j + 0*j**2 - 4. Calculate z(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omuouannmanhanamuaa. What is prob of sequence hao?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4563 + 14334?\nAnswer: 7551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/4*(-6)\/9. Let v = 1131\/4 + -283. Which is the nearest to 1\/6? (a) v (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 347 = -962. Let x = 125 + q. Calculate the greatest common factor of x and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 1. Let b(t) = 4*t - 1. Let j be b(-1). Calculate y(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 5) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v - 8. Let b be y(3). Let d(u) = u**2 - 2*u + 8. Let w(q) = -7. Let x = 18 + -12. Let p(a) = -1. Let k(j) = x*p(j) - w(j). What is b*d(z) - 6*k(z)?\nAnswer: z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*0\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q + 3. Let u be o(-3). Let j be 18\/(-27) - 34\/u. Suppose -3*w - 32 = -j*s, 0 = -s + 4*s + 3*w. Solve 21 = -s*m + 3*k - 7, 4*k = -2*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49281034 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*t + 12*t + 36*t)*(-2*t**3 - 2*t**3 + 0*t**3).\nAnswer: -148*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 13. Give y(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -55. Let i = 13 - -7. Suppose -k = 5*b + i, -k - 12 = -6*k + 3*b. Sort u, -2, k in increasing order.\nAnswer: -2, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 613*g.\nAnswer: 613*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11112 (base 4) to base 11.\nAnswer: -291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 148\/(-120) - (-5)\/(-50). Which is greater: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 0*f + 16 = -4*y, 5*y + 33 = -4*f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**6\/135 - h**5\/90 + h**4\/54 + h**3\/27 - 2*h. Factor w(j).\nAnswer: -2*j*(j - 1)*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 1\/8*h**4 + 0 + h**2 + 0*h**3 + 0*h. Let l(z) = -2*z. Calculate w(l(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**2 + 19 - 3*a**3 + 4*a**3 + a**2 + 11 + a - 3. Let p be v(5). What is the highest common divisor of p and 912?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 6*l**2 + 7*l - 6. Let z(v) = 6*v - 29. Let c be z(6). Determine w(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 22*i**2 + 2*i - 1. Let a be c(3). Suppose 297 = j - a. Let h = j - 3007\/6. Is h greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/20)\/((-639)\/710)*-27?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6804 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -7 + 6 + -16 + (9 - -5) + 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*p + 6277, 3*p + 1817 = -3*a + 6491. Suppose -22*i = -a - 49477. Round i to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6106 - 6101. Let i = -5 - -7. What is the remainder when f is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c + 5. Let s(q) = 4*q + 3. Let j(d) = -5*s(d) + 3*y(d). Let t be j(1). What is the third smallest value in 2\/11, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 257291?\nAnswer: 1286455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(6*sqrt(13)*-2 - sqrt(13))*-1*-2 + 3)**2.\nAnswer: -316404 - 1872*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + (sqrt(80)*-1 + 3)*6))**2.\nAnswer: -25920*sqrt(5) + 111780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-4)*((-46)\/(-76))\/(-23)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86.6 - 87. What is the second smallest value in z, 0.08, 1, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**17\/v*v**(-1\/2)\/v)\/((v*v\/(v\/(v*v\/(v*v\/v**(3\/4)*v))*v)*v)\/v**(2\/9)) assuming v is positive.\nAnswer: v**(503\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 + 13*i**2 + 28)*(31 - 15 - 12)*(4*i**2 - 2*i**2 - 3*i**2) to the form a*i**3 + l + f*i**2 + b*i + u*i**4 and give u.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - q + 3. Let c(d) = -2*d**2 + 2*d - 8. Suppose 0 = 2*x - 16 - 0. Calculate x*h(j) + 3*c(j).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 9) to base 4.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lluuul. Give prob of sequence ll.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1269854 to the nearest one thousand.\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 154*p**2 + 995*p + 13. Does 18 divide h(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/2, -1084, 2, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1825346*d**3\/11 + 1693620*d**2\/11 - 523800*d\/11 + 54000\/11.\nAnswer: -2*(97*d - 30)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*a**3*x*z + 240*a**3 + a*x*z + a*z + 4*x**2*z wrt x?\nAnswer: -12*a**3*z + a*z + 8*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + 0*r + 3489636 + 5*r - 3489636.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (123 + -126)\/(1 - (-741)\/6).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 18 = 2*y, 5*v - 69 = -3*y - 45. Solve 0 = -5*w - 10*r + 12*r - 14, -y*w - r = 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 179512869 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -64, -81, -98, -115?\n\"Answer: -17*w - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -884 - -418. Let q be 13\/(-4)*(-2106)\/(-15). Let w = q - k. What is the common denominator of w and 101\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**17\/((i**(1\/8)\/i)\/i)*i*i**(-1\/4)*i\/i**(-5\/4) assuming i is positive.\nAnswer: i**(175\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23790538 to the power of 1\/2, to the nearest integer?\nAnswer: 4878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 3*a + 0 + 79\/2*a**2 - 1\/2*a**3. What is the tens digit of l(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 256318269.999689 + -256318459. Let q = k + 189. What is q rounded to five dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 + 53.5. Let h(t) = -t**2 - 6*t - 5. Let g be h(-6). What is the closest to -1 in -2\/9, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6005206 (base 8) to base 6\nAnswer: 53434130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/19 - 71\/133. What is the closest to -0.5 in 0.4, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from wiaaiuaaaisd?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30240654 (base 7) in base 4?\nAnswer: 21211310010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4 = 4*o, 39059*b - 2*o = 39056*b - 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 4*z - 3*z)*(0 - 2 - 1) - 829*z + 1640*z - 559*z.\nAnswer: 270*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-48)*(t**(2\/7))**46*(t**(-7)\/t*t**(-2\/7)\/t*t)**(-19) assuming t is positive.\nAnswer: t**(858\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1774*x - 898 + 1767*x - 850 + 1748.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, h: 2, b: 1, v: 2, e: 2, g: 4}. Give prob of picking 1 b, 1 e, and 1 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 greater than -237144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 5*t - 15*t**2 + 6*t**2 + t**2 - 6. Is j(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/11248 and -127\/829540.\nAnswer: 3318160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1483*b = -2241*b + 358207 - 75183 for b.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 2e4e?\nAnswer: 2e4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 715158823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -4, 2, -1 in ascending order.\nAnswer: -4, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdzz when four letters picked without replacement from znddnzzzztddndt.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1241 + -210524?\nAnswer: -207263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*d - 8. Suppose x = d + 1. Let l be 4\/8 - x\/4. Solve -m + 6 - 1 = l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 370, 4\/15, -5, -4\/9 in increasing order.\nAnswer: -5, -4\/9, 4\/15, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3 = -5, 0 = 5*b + 5*j + 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 9, 14, 21?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 75\/159*19\/(-133). Let y = x - 4\/53. What is the closest to 4 in 1\/6, 1, y, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -33235?\nAnswer: 33241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + n**2)*(4*n - 3*n - 3*n) + 2*n**3 - 6*n**3 + n**3 + (-7 + 7 + n)*(2*n**2 + 4*n - 4*n) + (0 + 0 - n**3)*(3 - 4 + 3) - 2*n**3 - 2*n**3 + 3*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 4\/((-64)\/(-12)) - 9\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590 + 2140 = -118*a + 874 - 3808 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**2 - 2. Let t(a) = 14*a. Calculate u(t(i)).\nAnswer: 1176*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*a + 223 + 129 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6 + -3 - (1 + (-69)\/10) and 91\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/19 + 9050*r\/19 + 9052\/19.\nAnswer: -2*(r - 4526)*(r + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 850*v - 179*v**2 - 1161*v**2 - 804*v**2 wrt v?\nAnswer: -4288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/6, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -171*i**3 - i - 1. Let a be q(-1). Let h be ((-57)\/(-9))\/(41\/123). What is the highest common factor of a and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -13, 8, -3, 1, 0 in ascending order.\nAnswer: -13, -3, 0, 1, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c*t**3 - 3*c*t**2 - 8*c*t*u + 6*t**3*u - 3*t**3 + 5*t**2 wrt c.\nAnswer: -3*t**3 - 3*t**2 - 8*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 364*j**2 - 9*j. Let s(r) = 91*r**2 - 2*r. What is 9*s(g) - 2*x(g)?\nAnswer: 91*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7752161155?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -4.43, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*m**5 - 2*m**2 - m**5 + 6*m**2 - 8*m**5 wrt m?\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 159.15 - 156. Let x = 21.91 - l. Let n = 20 - x. Round n to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2321903 is divided by 2321901.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -61, -5 in descending order.\nAnswer: 5, 4, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/480*(-19)\/((-228)\/80)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 3\/2, -1.44, -2\/13, -0.5, 326, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2614 != -2614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 313632*k**3 + 85932*k**2 - 11080*k + 300 = 0.\nAnswer: -3\/8, 5\/99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2 + 6. Suppose 0*j + u = -4*j + 304, -158 = -p*j + u. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134784.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*v + 39. Let u(h) = -h - 9. Let a be u(-8). Let m be ((-14)\/21)\/(a\/3). Solve d = m*x - d - 16, 4*d = -5*x + v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011011111 - -101?\nAnswer: -110011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24867696*w*y**2 - 1157472*y**2 + 15*y with respect to w.\nAnswer: -24867696*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -166*r**2 - 11*r + 6. Let b(j) = -j**2 - 117*j + 11. Let g be b(0). Let h(k) = -55*k**2 - 4*k + 2. Give g*h(v) - 4*q(v).\nAnswer: 59*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 48*x**3 - 832*x**2 - 17*x. Let m(z) = 17*z**3 - 278*z**2 - 6*z. Determine -17*m(i) + 6*y(i).\nAnswer: -i**3 - 266*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 5*j + 22 = 34, -2*j + 8 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/3)\/(5\/(45\/4)). Solve 4*x**c - 8*x**2 - 4*x + 9 + 8 - 9 = 0 for x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000457192544 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 361344 < 361216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*q**3 + 116*q**3 - 59*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2190.1 + 2190. Do p and -0.3621 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 712 by -178.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204 + 394 - 71208*k - 190.\nAnswer: -71208*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*v = -8, 16409*q - 5*v + 3 = 16411*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s**2 + 2 - 6 + 0*s**2 + 4*s - 3*s**2 - 4*s + (2 + 2*s - 2)*(s + s - 3*s) in the form a*s**2 + l*s + t and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 + 24 + 18 = -17*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4094b3 (base 15) to base 9\nAnswer: 5686716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86450249885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*t = -w + 15, -4*t + 20 = 0. Solve 5 = o - w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*y - 0. Let t = -0.3 - 3.7. Which is the closest to 2\/3? (a) t (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/59 and ((-82)\/6)\/(1*26\/(-6))?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from surktukrrrss. Give prob of sequence ss.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(218790\/275))\/(5\/18)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2, 6*c = 2*c + 3*s + 55. Suppose -4*t + 189 = -t. Calculate the remainder when t is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2498 divide 35202288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1295222\/(-28918) + (-4)\/19.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1525854 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 134, 0.1, -4, -0.03?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4027266 seconds in hours?\nAnswer: 0.0001118685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5187 and 64246.\nAnswer: 3662022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from miiwgwdd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 3*l + 2*l)*(-1099*l + 278 + 279 - 559 + 2*l - 6*l + 2*l - l - 1 + 1 + (-1 + 1 + l)*(-1 + 5 - 2)).\nAnswer: 2200*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1734, -3473, -5214, -6957, -8702, -10449?\nAnswer: -12198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*s + 36, 3*s = 7*s. Let f = 15 + h. Calculate the smallest common multiple of f and (-20)\/3*3\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-14) - (-34)\/119. Factor -24*k**d - 6*k**3 - 2*k**3 - 20*k + 4*k**3 + 0*k**3.\nAnswer: -4*k*(k + 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/5 - 2478*c**3\/5 + 41474*c**2\/5 + 18078*c + 46436\/5 = 0 for c.\nAnswer: -1, 19, 1222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 4875, -1\/7, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/8*(-27)\/(2079\/(-352)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202581998.\nAnswer: 2, 101290999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -0.63\nAnswer: 5.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.1917 - 4.8456. Let s = j - -42.6633. Let f = s + -54. What is f rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 3*n**2 - 3*n - 2778. Let x(t) = 5*t - 3. Calculate -3*k(d) + 2*x(d).\nAnswer: -8*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -157096, 155 in decreasing order.\nAnswer: 155, 5, -157096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 1, -322, -7, -4, -14 in descending order.\nAnswer: 25, 1, -4, -7, -14, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -499*j**3 - 5*j**2 - 2*j + 3. Suppose 3*o + 11 = -4*u, -o - 5*u - 7 = 4. What is the units digit of h(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5 + 8*f**4 + 104*f**3 - 256*f**2 - 400*f + 896 = 0.\nAnswer: -8, -2, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 45406 (base 12) to base 13\nAnswer: 32c49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 0 - 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4285153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2010?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from ctkjtsstkvs.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbb when three letters picked without replacement from {k: 5, b: 2, x: 2, j: 8}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*(-3*(sqrt(1216) + 1) + 4 + 5*(sqrt(1216) - (sqrt(1216) - 1*(sqrt(1216) - (sqrt(1216) + -2))))) + -3)**2.\nAnswer: -1661784 + 83520*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*i = -129, -2*a - 20 + 86 = -2*i. Let f = a + 26. Calculate the greatest common divisor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 a when three letters picked without replacement from {a: 2, q: 2, t: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/32732 and 113\/1078?\nAnswer: 360052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k**2 + 35*k + 1. Let x(f) = -2*f**2 + 17*f + 1. Let j(p) = -2*l(p) + 5*x(p). Let d be j(-7). Which is the closest to -1? (a) 5 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 7. Let p be v(-6). Suppose 2*s = q - 131, 65*q + 5*s = 62*q + 382. Let h be (-7)\/(-2) + q\/(-258). Put 5, h, p in decreasing order.\nAnswer: 5, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19502 - -19684. Calculate the remainder when 613 is divided by s.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4917 is divided by 1224.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 1\/8, 5, -135665, 4 in ascending order.\nAnswer: -135665, -1\/8, 1\/8, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 89006.02 millimeters in meters?\nAnswer: 89.00602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6779255?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 357 = -187 + 28. Calculate the remainder when 768 is divided by c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 766150955 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 113 = -429. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -131232601?\nAnswer: -131232563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00751518 to five dps.\nAnswer: -0.00752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-286)\/(-66))\/(3\/(-3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 13. Suppose 194 = 3*b + 5*f + 48, 232 = v*b - 3*f. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 3:29 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1620648 and 17568?\nAnswer: 6482592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -72 and -6?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + e7e6?\nAnswer: e7ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -11642911 and -11642917 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-3 - -4) - (-48)\/22. Which is the closest to -2\/9? (a) -1\/3 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-50))\/(-1)*-3*(-90)\/144?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 11581 = 3*z, -z + 3*z - 17364 = -3*n. List the prime factors of n.\nAnswer: 2, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*t - 9*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 409, 1618, 3635, 6460?\nAnswer: 10093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 21 + 22*l**2)*(-22*l - l - 4 + l) to the form t*l**2 + r*l + h*l**3 + a and give h.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*a - a - 8 = 0, 2*z = -2*a. Suppose -3*v + 3 = -9. Find the second derivative of 56*c**4 - v*c**z - c + 4*c**2 - 46*c**4 wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15044*j + 15047*j - 75236*j + 15037*j + 15053*j + 15041*j.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/11)*w**(-1))**45 assuming w is positive.\nAnswer: w**(-585\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-525)\/(-6) - 15\/10. Let x = f - 48. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 - 120.347. Let v = -0.047 - o. Let a(s) = s**3 - 2*s**2 - 3*s - 1. Let z be a(3). Put 5, v, z in increasing order.\nAnswer: z, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -n + 1. Let j = -32\/9 + 503\/144. Which is the second biggest value? (a) -0.1 (b) n (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 6)*(0 - 4 + 2)*(23*r**4 - 53*r**2 + 53*r**2) + (-3 + 3 - 6*r)*(r**3 - 2 + 2).\nAnswer: -466*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.5, -1, 3, -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3982545 and 123901400.\nAnswer: 1115112600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzen when four letters picked without replacement from znuuxuxxzzenm?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (8 + -6) - 22.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128554 and 969?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-5488)*-49 - 258\/(-154).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 25*i + 80. Suppose -112 = -q - i*r, -2*q + 2*r - 116 = -3*q. Calculate the greatest common divisor of q and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + -1101111000100111101001011?\nAnswer: -1101111000100111101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*h + 55*h - 164*h + 55*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**3 + 7*h**3 + 9*h**3 + 5*h**3.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -7a1?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503984 is divided by 1726?\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32194.\nAnswer: 2, 16097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1025 - -31?\nAnswer: -aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghwggwwghwggwg. What is prob of sequence gh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -29*k**2 - k + 2. Suppose 9*h - 4*h = -10. Let n be l(h). Let x = -51 - n. List the prime factors of x.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 267428296*l**2 + 1148185701?\nAnswer: 534856592*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36663037.\nAnswer: 36663037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 289 = -y - 4*l, -3*y + 3*l = 867. What is y rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 781 + -773. Solve 32 = s*h - 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 79 + 10 + (-1)\/(3\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -82. Suppose -224 = -j*k + 71*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 8*d**2 - d - 5. Suppose 7*i + 6 = -50. Let p be t(i). Sort p, -5, 5, -4.\nAnswer: -5, -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (72\/(-3))\/4. Suppose f*t + 4*o - 210 = 0, -4*t = -5*o - 162 - 47. Calculate the greatest common divisor of t and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t - 104 = -22*t. Solve -2*v - 4 = -3*m + t, -4*m = 3*v - 25 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let k be 1 + -4 + h + 5. Suppose -q - 5*d + 3 = -10, -k*d - 58 = -q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/5 + t**2\/5 - 4*t\/5 - 4\/5.\nAnswer: (t - 2)*(t + 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 26.9. Let l = m + -8.182. Let z = 11.482 + l. Round z to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-21))\/((-96)\/(-56)). Let f(p) be the second derivative of -1\/9*p**3 + 1\/6*p**2 + 0 - p + j*p**4. Factor f(v).\nAnswer: (v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = 3*h, -z = h - 32. Let s = z - 16. Calculate the remainder when 57 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10*s = 16. Let i be (70\/(-15))\/(s\/3). Let d = 17 - i. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q + 1882 - 1882.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -45a (base 15) to base 3\nAnswer: -1100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28 and 22\/(-99) + (-149)\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19\/50916 and 28 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3\/4 + 239*d**2 - 952*d = 0. Calculate d.\nAnswer: 0, 4, 952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3*u**2 + 3*f**3*u + 3*f**3 - 18*f**2 - 2878588*f*u**3 + 45*f wrt u.\nAnswer: -4*f**3 - 17271528*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.65 and -6214949.\nAnswer: -4039716.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q - 2*q + 155*q**2 + 11 - 153*q**2 in the form x*q**2 + w*q + b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -18*q - 896. Let w be r(-51). Solve -w*t = -0*t - 88 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = b + 13, 579*b - 2*u - 4 = 575*b. Solve 2*f = x - b, 2*f - x = 3*x - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqh when three letters picked without replacement from {h: 1, m: 1, q: 1, w: 1, g: 1, a: 4}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 93 = -2*t, 3*t + 2*t + 3*l - 237 = 0. Let h(x) = 2*x**2 + 12*x + 26. Calculate the remainder when t is divided by h(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8224.9 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42046 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4943 (b) -8 (c) 4\/7 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkkk when four letters picked without replacement from kkknkkknnknn?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13491371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.084872 rounded to 3 dps?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -92 (c) 1 (d) 67\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 250 and 3625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t + 1. Let r(j) = -7*j + 2. Let s = 3879 + -3873. Calculate s*r(d) - 13*v(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 3. Let t(b) = -b + 3. Suppose 0 = 4*p - 5*l + 32, -2*l + 9 = 1. Let c(j) = p*o(j) - 2*t(j). What are the prime factors of c(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102419437 and 31993?\nAnswer: 2461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-3010)\/630 - (-2)\/(-9) - -473 and 198.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*d**2 + 1)*((-3 - 2 + 4)*(-4*d + 5*d - 5*d) + 7 - d - 7).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*n**2 - 70*n**2 - 186*n**2 + (0*n + 0*n - n)*(-2*n + 21*n - 2*n) as v*n**2 + a*n + t and give v.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (113 - 126) + (8 - (-12 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4 + 25*j**3 - 63*j**2 - 225*j + 486 = 0 for j.\nAnswer: -27, -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 9. Let y(n) = -n + 4. Give 6*k(z) - 14*y(z).\nAnswer: 8*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68151?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tftttttetfattt. What is prob of picking 1 f and 1 t?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 3228324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29979 + 192913 = 2616*c + 930*c + 428*c for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 99 - 37)*(27*s + 0*s + 0*s).\nAnswer: 459*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.56 + -10.56. Sort s, -0.03, -56 in descending order.\nAnswer: s, -0.03, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -249455 (base 16) to base 13.\nAnswer: -65c204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13890 plus 0.6?\nAnswer: -13889.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/63 in 5, -4, 0.6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4)**(-1\/27)*m*((m**16\/m)\/m)\/m*m**(-17) assuming m is positive.\nAnswer: m**(-85\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + z = 4*t + 30, -2*z = -5*t - 73. Let k = t + 91. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 754 - 747. What is the derivative of w + 32*t - 64*t + 2*t**2 - 63*t + 9 + 4*t wrt t?\nAnswer: 4*t - 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 156\/341, 4, 3.07?\nAnswer: 3.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -257, -0.04, 0, -2 in ascending order.\nAnswer: -257, -2, -0.04, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 220, 345, 316, 55, -516, -1475, -2900?\n\"Answer: -13*a**3 + a**2 + 213*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 12:36 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -16. Let n = 0.1 + 0.1. Let z(c) = -c**3 + 7*c**2 + 6*c + 18. Let m be z(8). What is the closest to t in n, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 55200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {y: 7, q: 5, c: 1, v: 1, e: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888110.\nAnswer: 2, 5, 88811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.5 (c) -1\/6 (d) 1 (e) -1\/4 (f) -1761\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 6. Let a be n(-4). Let s be (-82)\/(-7) + a\/(-7). Suppose 4*o - s = o. Solve 3*k - o*w = w + 15, 4*w = -2*k - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186203030?\nAnswer: 2, 5, 13, 83, 17257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 1:39 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39197 is divided by 2018.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961639?\nAnswer: 7, 17, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/5*(-85)\/136. Which is the second biggest value? (a) -0.1403 (b) g (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7382 - 9057 + 4031 = 282*c for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 36 = t, d + 42 = -4*t + 134. Calculate the greatest common divisor of t and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2310.449 millennia to years.\nAnswer: 2310449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*137*(-8)\/4. Find the common denominator of 6\/56*y\/(-30) and -81\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64279.9mg in micrograms?\nAnswer: 64279900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vottvvovvoovtttv. What is prob of sequence ov?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11344 + -3020?\nAnswer: 4324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*b = 80, 4*b = 5*l - 29 - 30. Suppose 15 = -3*z + 5*h, 5*h + 3 = -z + 6*h. Suppose z*i - l = -3*i. Solve 0 = -4*k + 3*k + i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.2. Let a = 31765\/14 + -4537\/2. Put x, 1, a, -3 in increasing order.\nAnswer: -3, x, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -20\/3*m**4 + 26\/15*m**6 - 87*m + 10\/21*m**7 - 6\/5*m**5 + 1 + 16\/3*m**3 + 0*m**2. Solve s(o) = 0 for o.\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s**2. Let t(h) = -2*h**2 + 72. What is t(x(i))?\nAnswer: -72*i**4 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 23*s + 4 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 + 0*g**4 + 0*g**4 - g**2 + g**2 - g**4 + (-g + 5*g - 3*g)*(g - g - 2*g**3) + 3*g**4 + 0*g**4 - g**4 + g - g - 2*g**4.\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 109271290 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4972, -20206, -45692, -81430, -127420?\n\"Answer: -5126*n**2 + 144*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9 or -395?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008592855781 to four decimal places.\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-4))\/((-2)\/8). Let q be (-12)\/(-4) + v + -4. Let b(m) = -m**2 - m - 3. Determine b(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k = 791 - 76. Let i be 2 - ((-2)\/(-11) + (-3805)\/k). Is 71 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 382*a*s**2 + 4*a*s*u + 2*a*s - 2*a + 72*s**2*u wrt u?\nAnswer: 4*a*s + 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 0*c - 518 = 0. Let w = 77 + c. Let x(j) = -j**2 + 5*j - 2. What is x(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 52 - 32 = -4*k, -3*d = k + 4*k + 23 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8034 - 8048. Let u(j) = -2*j - 26. Let l(z) = -4*z - 53. Let f(c) = -4*l(c) + 7*u(c). Let w be f(o). Solve 5*h + a - 6 = 5*a, 3*a + 8 = w*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 37740.\nAnswer: 188700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -68 and -5.935?\nAnswer: 62.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(288) - (3 + sqrt(288) - sqrt(288)) - sqrt(288)) + sqrt(2))**2 + 1.\nAnswer: -18*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 3*n + 3. Let j(m) = 5*m - 2 - m**2 + 6 + 1. Let y(i) = 3*j(i) - 5*u(i). Let o(c) = 1 - 1 - 72*c + 68*c. What is y(o(s))?\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b - 8. Let z be y(4). Let p = -31 - z. Solve 2*k - 3 = p*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4882 - -4886. Is 660\/127 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -533 divided by -503\nAnswer: 533\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29361725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15452\/(-1)*29\/232*-2 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63739 in 1, 3\/2, -0.3, -15, -1\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -180003?\nAnswer: -3600.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = -5*o + 11*a + 512, o - 5*a - 118 = 0. Let k = o + 182. Calculate the highest common factor of 75 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**5\/d**(-3)*(d**(2\/5)\/d)\/d*d\/(d\/(d\/(d**11*d))) assuming d is positive.\nAnswer: d**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -580 + 581. Which is the biggest value? (a) -24 (b) p (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 947 - 916. What is the greatest common divisor of t and 899?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 36*g = 33*g + 1788, -5*i + 3022 = -g. What is the remainder when i is divided by 593?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -31, -35?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 243 and 297?\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**5\/60 + y**4\/12 - y**3\/6 - 2*y**2. Let q(h) be the first derivative of o(h). Determine q(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 4*z**2 + 1. Let w(g) = 3*g**3 + 9*g**2 - 2. Give 5*c(f) + 2*w(f).\nAnswer: f**3 - 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -740 - 0.3\nAnswer: -740.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 3*m - b + 8, -804 = -23*m + 20*m - 405*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -580 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*z = -2*l + 4, 0 = 3*l - z - 10. Suppose l = 4*n - 0*n. Solve -n = m + 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2573 divide 257559765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60271 (base 8) to base 5.\nAnswer: 1243021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9469 - 9787. Which is smaller: z or -321?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(391\/(-85))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-54)*-2*2\/20?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-893)\/133*35 + 95\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1218\/348 + (-1)\/(-2)*-7. Let x(l) be the third derivative of 0*l + k*l**3 + 0 + 0*l**4 - 21*l**2 + 1\/10*l**5. Let v(r) = -r. Determine x(v(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**4\/6 - w**2\/2 + 2125*w. Suppose -4*t = t + 10. Determine o(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 48, -1, -0.2, 692?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5686*s - 31372 + 9696 = -135396 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -834 - -4017. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -525.9285 - -524.6. Round k to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -799 - -11989\/15. Let 2\/15*y + j - 2\/15*y**2 = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + b + 1)*(-4 + 3*b + 4) + (b - 3 + 3)*(b + 1 - 1) as i*b**2 + q*b + w and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*f**2 - 15*f**2 - 2 + 5)*(4*f**3 - 2*f**3 - 3*f**3 + (-4*f + 2*f**3 + 4*f)*(-3 + 3 - 2) + 3 + f**3 - 3) + 2*f - 2*f - 2*f**5.\nAnswer: -34*f**5 - 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 9:33 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 6*r + 6. Let q(t) = -7*t - 6. Let s(d) = -3*c(d) - 2*q(d). Let p(n) = 3*n**2 - 3*n - 6. Let y(v) = 7*p(v) - 6*s(v). Factor y(z).\nAnswer: 3*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10640551?\nAnswer: 19, 560029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1)\/((-5)\/5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-6) + (5\/(-6))\/(-5). Solve -3*u - 2*u - 15 = 0, n = r - 2*u - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1837053 is divided by 612350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.5, 3.4, -3, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124824 is divided by 3892.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -26. Suppose -2*m - 4*z = -264, -3*z - 498 = -4*m - 5*z. Sort m, s, -5.\nAnswer: -5, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1270)\/8 + ((-3)\/(-4) - 0). Let q = j + 232. Let c = 78 - q. What is the nearest to 0.1 in 0, c, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108160 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {y: 1, g: 4, l: 2, k: 7, j: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 2167.96\nAnswer: -6503.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -1)*4 + sqrt(36)\/sqrt(12) + -1.\nAnswer: -5 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44153520*-0.5.\nAnswer: 22076760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**3 + 12*i**2 + 25*i - 21. Let k(m) = 5*m**3 - 12*m**2 - 26*m + 21. Let g(r) = -7*k(r) - 6*x(r). Determine g(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b = 114 - 18. Let o = -4 - -6. Suppose -2 = z + q, 0 = -3*z + 4*q - 15 + o. Sort b, -4, z in descending order.\nAnswer: b, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13799 + 20490. Suppose -5*i - t = -m, -2586 = -3*i + 5*t + 1423. Let y = i + -7949\/6. Find the common denominator of 27\/8 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -62. Let v be (33\/6 - 2\/a)*1. Let l(s) = -2 + 0*s - 1 + 3*s. Let x(t) = -6*t + 5. What is v*l(y) + 3*x(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 20 = -2*j. Suppose -j*u + 110 = u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 366 + 12. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1595104912 to the nearest integer?\nAnswer: 39939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -116, -32, 3124?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(825))\/(sqrt(147)*-3).\nAnswer: -10*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9*z - 5. Let g be n(-9). Suppose -2*k = f - g, -k - 4*f = -19 - 5. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -595309 from 2423.4.\nAnswer: 597732.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 4*z - 4*z)*(3*z - 2*z - 3*z) + 7*z**2 - 5*z**2 + 3*z**2 + 22*z**2 + 64*z - 64*z - 12*z**2 - 8*z**2 + 344 - 345 to o + h*z + b*z**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9545711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2131382794.\nAnswer: 2, 197, 601, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012192 rounded to six decimal places?\nAnswer: -0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*((-3 + -3*sqrt(847) + sqrt(847))*2 + -1) + 2)**2 + -3.\nAnswer: 14080*sqrt(7) + 339821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 0 + 0*w**5 - 17*w + 0*w**4 + 11\/15*w**6 + 9*w**2 + 0*w**3. What is the first derivative of m(t) wrt t?\nAnswer: 88*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3692)\/(-32)*(2 + -1). Let j = 114 - r. Find the common denominator of j and 71\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 180, 227, 246, 237, 200, 135?\n\"Answer: -14*v**2 + 89*v + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*u - 1020. Suppose -l = 5*y - 3*l + 558, -2*y - 4*l = u. Let n = -78 - y. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -71 and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 3*f. Suppose f = 7*s + 4 - 25. Suppose 2*v = -s*a + 17 + 14, -4*v + 60 = 4*a. What is the smallest common multiple of v and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*m - 575 = -616*m + 419. Determine f, given that -2\/3*f**3 + 1\/6*f**5 - 1\/3*f**4 + 0 + 1\/2*f + 1\/3*f**m = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14837, 5, -1.\nAnswer: -1, -0.14837, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -546 - -553. Solve 0 = r - m - z, -6*r + r - 5*m = -15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + s - 6. Let v = 8 - s. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 64 = 4*k, -4*w - 4*k - 22 = -90. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a + 2364 = 2140 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + -1. Let v = 28 + -15. Let d = f + v. Which is the smallest value? (a) 1\/3 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-77)\/14)*4\/(-6). Let w(t) be the first derivative of 0*t**g - 9\/4*t**4 - 12 + 0*t**2 - 11*t. Differentiate w(p) with respect to p.\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678 is divided by 488?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w - 2. Let t be z(-5). Let f(u) = -u**3 + 6*u**2 - 5*u - 1. Let g be f(5). Let r = t - g. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88720711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - q + 15, 6*q = -86*n + 91*n - 20 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**6\/96 + v**5\/6 - 85*v**4\/96 + 25*v**3\/12 - 2*v**2 - 30*v. Factor m(t).\nAnswer: -5*(t - 5)*(t - 2)*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or 48?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344570975*m**2 + 689141955*m**2 - 344570985*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 12:41 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 41414778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 322\nAnswer: 6\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 + 12\/(-5). Put 0.2, -2\/5, s, 0 in ascending order.\nAnswer: s, -2\/5, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 c when three letters picked without replacement from qqqqycqqqqqcqcq?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 2:53 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 - -4.5. Let q = 0.1 - 0. Which is the nearest to q? (a) -2\/5 (b) y (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 920 and 107320.\nAnswer: 2468360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -30*l + 2. Let d(c) = 59*c - 3. Determine -3*d(z) - 5*s(z).\nAnswer: -27*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)\/v)**26*(v*v*v\/v**2)**28 assuming v is positive.\nAnswer: v**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - 106\/5 - 2\/(-10). Let j be (8 - 0)*h\/(-50). Solve -j*t = -3*k + 19, -t = -4*k + 7 + 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0 (c) -0.4 (d) 9 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v = 24*v + 86. Let g(l) = -14*l - v*l + 28*l. Let c(f) = -f. Give g(c(t)).\nAnswer: 29*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -748 - -669 - ((11 - 13) + -2 + -2)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -2*v**3\/27 + 2*v\/9 + 1. Factor t(p).\nAnswer: -2*(p - 1)*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, b: 4, j: 2}. What is prob of picking 2 b and 2 j?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**4 - c**4 - 4*c**4 + (2*c**2 - c**3 - 2*c**2)*(-2 + 2 + 2*c) + (625*c - 124*c**2 - 625*c)*(3*c - c**2 - 3*c).\nAnswer: 121*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -58*c + 1. Let f(x) be the third derivative of -7*x**4\/12 + x**2 - 1411*x - 2. Give m(f(s)).\nAnswer: 812*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769 a factor of 16371532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 65. Let n = 142 - 129. What is the third derivative of 21*r**2 - r**y + 19*r**2 - 4*r**6 - n*r**2 wrt r?\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.7 and 1469909.\nAnswer: 1469910.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 13*y + 8*y = -44. Let g = 5.226 + -0.226. Let z be 2\/(-5)*15\/(-9). Which is the nearest to 1? (a) z (b) g (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7112 (base 15) to base 4.\nAnswer: 11310323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3, -3*v - v + 4 = 3*j. Let t be (-3 + 1)\/((9\/6)\/(-3)). Suppose l + g - 221 = 28, t*l - g - 996 = j. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 596, 1350, 2406, 3764?\nAnswer: 5424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 803 + 531 - 3045*u - 1381*u.\nAnswer: -4426*u + 1334","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 73*n**2 - 4*n + 10. Let a(p) = -2*p**2 - 1. Let m(h) = -5*a(h) - i(h). Find the second derivative of m(c) wrt c.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58818379.\nAnswer: 829, 70951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98669 is divided by 50?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 189 - 150 = 0. Suppose -3*j = -0*t - 2*t - w, -61 = 3*t - 2*j. What are the prime factors of 1\/((-14)\/(-2304)) - 9\/t?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -22.1. Let q = h - 33.1. Let o = q - -38. Put 1\/3, o, -1\/3 in decreasing order.\nAnswer: o, 1\/3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -102, -103?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -y - 2. Let r be -1 + -1 - 15\/(-12). Let u be 15145\/(-1631) + 9\/1. Which is the closest to u? (a) -4 (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 7*c - 6. Let l be u(-7). Suppose -26 = m + 3*n - 193, 4*n + 174 = m. Is (4\/3)\/(l\/9) + m a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 8)\/1 + 3. Find the common denominator of (-218)\/(-252) + (-2)\/9 and (-97)\/2*i\/(-32).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l**3 - l**2 + 1. Let f be r(-1). Let p(o) = -4*o**3 - 26*o**2 - 7*o + 34. Let c be p(-6). Solve -c*a = -a - f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41427, 82870, 124351, 165888, 207499, 249202, 291015, 332956?\nAnswer: 375043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 2*w**2 + w - 5. Let s(c) = c**3 - 1 - 2*c**2 + 8 + c - 11. What is -5*s(f) + 4*y(f)?\nAnswer: -f**3 + 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 3\/2)*10. Suppose 0 = -3*r + c + 9, -z*r - c - 4*c + 35 = 0. Let s be (-8)\/2*(-3)\/2. Solve 2*i + s*b = b - 6, i + 6 = -r*b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*a - 2*v, -25 = 5*a - 0*v - 3*v. Let b be a*3 + (-4)\/2. Let s = b + 70. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 12 = 0, u + 2 = -0*l - l. Let g(x) = l*x**2 - 3 + 3. Let o(t) be the third derivative of -t**5\/60 + 2*t**2. What is o(g(h))?\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 611 divided by -32.\nAnswer: -611\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 171007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173\/227 or 2\/11?\nAnswer: -173\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -3 + -2 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -2) + (4 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 368 divide 1010896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 15. Let q be k(7). Is 3\/13 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 3, -0.5, 1, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 10:04 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-15928)\/(-132) - (-6)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b00a2 - 8?\nAnswer: -b00aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80095885 to the nearest integer?\nAnswer: 8950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 22*n**2 - 7*n + 1. Let b(w) = 7*w**2 - 2*w. Let a(f) = 7*b(f) - 2*c(f). Is a(-2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 0*u**4 + 0*u**3 + u**2 + 3\/10*u**5 + 10*u + 0. What is the derivative of w(o) wrt o?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10285789 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174.38 + -174.28. Which is the fifth biggest value? (a) i (b) -2\/13 (c) 0.04 (d) 2\/7 (e) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -80, -116, -152?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22688 divided by -5672\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2353378*g**2 + 17*g + 0*g - 2353396*g**2 to v + l*g**2 + w*g and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 277 = 3*k - 230, -4*y - 3*k + 3 = -14 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -18. Calculate the remainder when 50 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/53 + 1*(6 - 4). Let g(l) = l**2 - 5*l + 4. Let t be g(5). What is the third derivative of -t - 12 + 16 + 39*d**3 - 20*d**c wrt d?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8453b4 (base 12) in base 7?\nAnswer: 23463220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**4\/24 + 7*r**3\/6 - r**2. Let l be (-12)\/15 + 0 + 48\/60. Give t(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 3:50 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 362920966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -324404*o + 6. Let s(g) = 4*g**2. Determine w(s(a)).\nAnswer: -1297616*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*a - 54 + 44, g - 11 = a. Solve -20 = -5*p - g*s, 0 = p - s - 1 - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, 1, 91, 217, 379, 577?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4491*w + 66727. Give c(-15).\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or -0.105?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**2\/2 - a. Let y(n) = 2 - 160*n**2 - n + 159*n**2 + 3. Let d(i) = 5*r(i) - y(i). Find the second derivative of d(j) wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f**2 - 7*f + 7. Is 25 a factor of t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -373012 (c) -10 (d) 2\/7 (e) 2\/5 (f) 1\/8 (g) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2. Let o(k) = 604444035*k. Determine f(o(j)).\nAnswer: 730705182894162450*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to -0.0026912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2894901185 to the nearest integer?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -2*j**7\/21 + 2*j**6\/15 - j. What is o in a(o) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/((-1050)\/20)*(-48)\/208.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*p = -34145, 3*i - 8*i + 4*p + 56879 = 0. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - o + 4*o**2 + 2 - 2*o + o. Let p be j(2). Suppose -5*m = 20, -3*n + p = n - 2*m. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 11:18 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31780375 and 2750?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwxxxwxxxw. What is prob of picking 1 w and 1 x?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 3. Let s(v) = 1. Let u(m) = 20*s(m) + 5*z(m). Factor u(h).\nAnswer: -5*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**5\/3 + 4*w**4\/3.\nAnswer: -4*w**4*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 + 3.2. Which is the biggest value? (a) 1 (b) v (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68060.8 to the nearest 1000.\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13, 31, 69, 133, 229, 363?\n\"Answer: c**3 + 4*c**2 - c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(2 + 3*a - 4*a + 6*a).\nAnswer: -5*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -743, -1138, -1529, -1916, -2299, -2678?\nAnswer: -3053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16362, -15565, -14768, -13971, -13174?\n\"Answer: 797*s - 17159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -212\/3 - -2762\/39. Let q = -35 + 31. Which is the closest to 1? (a) -0.4 (b) q (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a + 50 = 35 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 21, -27 in descending order.\nAnswer: 21, 4, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -437*k**5\/5 + 43*k**3\/3 + 144. What is the third derivative of a(d) wrt d?\nAnswer: -10488*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -734*j**3 - 3*j**2 - 584*j + 68 wrt j.\nAnswer: -4404*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-81)\/(-80))\/((-27)\/6 - (-272 - -268)).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d = -19*d - 27. Solve -8 = -4*u - 28, -l + d*u + 14 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 + 62. Suppose o*n + 8 = 56. Which is bigger: 22\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v = -42 + 102 - 49 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 7 = 5*w, 2*c - 2*w - 4 = 6. Suppose c*d - 6 = d. Suppose d*y - 4*y = -58. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -0.5, 3.\nAnswer: -0.5, -0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.7, 27772, -0.13 in increasing order.\nAnswer: -7.7, -0.13, 27772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 222*a + 432.\nAnswer: 3*(a + 2)*(a + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10022 (base 5) to base 16\nAnswer: -27d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, o: 6}. Give prob of picking 2 o and 1 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25442274?\nAnswer: 2, 3, 11, 13, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3034, -6065, -9096, -12127, -15158, -18189?\nAnswer: -21220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {r: 7, u: 9}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 i, 1 b, and 1 c when four letters picked without replacement from {i: 1, p: 6, c: 1, b: 2, y: 3}?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100933329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 48 = -5*u - 42, 2*u + 2*y - 4 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3590, 7223, 10904, 14633, 18410?\n\"Answer: 24*y**2 + 3561*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 16*m**2 + 16*m + 31. Let f be w(-15). Let i be 20\/(-40)*f\/(-2). Let h = 0.1 + 0.4. Which is the nearest to 2? (a) h (b) -3\/8 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.34 equal to 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40 and 0.16.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(7\/(315\/(-10))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 4, q: 2, z: 5}. What is prob of sequence qqc?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2009 = -41*y, 55*a - 5*y - 49 = 59*a + 196 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -0.5. Let m = -1.7 + q. Put 0.3, m, 2\/3 in descending order.\nAnswer: 2\/3, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -9)*((-6856)\/(-14) - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/69 and (-2)\/8*12960\/35880.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*x**4 - 1915638*x**2 + 65652907*x + 1?\nAnswer: 48*x**2 - 3831276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*z = 20, 0*z + 12 = 3*i + 3*z. Let k be ((-4)\/i)\/((-2)\/51). Let y = 28 - k. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 + 3*s - 6.\nAnswer: -(s - 6)*(s - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22201201110 (base 3) to base 7\nAnswer: -1313664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-6))\/(-5)*1\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38783 is divided by 143.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000812 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1428367702 to the nearest integer?\nAnswer: 37794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 29 = -4*m, m = 2*b - 3*m + 14. Suppose -b*o - 1 + 7 = 0. Solve o*h + 12 = -2*c, 0 = c + 5 - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/384)\/(((-72)\/(-16))\/(-9)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.46 - 0.4. Let w = k + -0.46. Let j = 7.7 - 8. What is the second biggest value in 5, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 0 + (-26 - (-14 - 2)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002468 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 25769718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2433d (base 14) to base 2\nAnswer: -10101100110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 7*n**2 + 7*n + 9. Calculate the remainder when 3 is divided by f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.43 or 0?\nAnswer: -8.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a = 519 + 44 + 427. Solve 5*r - a = 2*n, -2*r + 4*n + 27 = -1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470601950 divided by 1344577.\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1020 - -1019. Which is the nearest to x? (a) 2 (b) 12 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1720 = 4*z - 1808. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-1)\/3 - -5. Suppose n*d - 28 = -8. Suppose x + 2 = 4. What is the greatest common divisor of x and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-1460)\/243 + 6). Sort 4, -4\/7, c, 2.\nAnswer: c, -4\/7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1253 divide 181508457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 951 = -5*s, 5*v - 23*s - 4887 = -20*s. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3\/3 - 1462*k**2\/3 + 218224*k\/3 - 9259616\/3 = 0. Calculate k.\nAnswer: 92, 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6580894*y**2 - 4793121*y?\nAnswer: 13161788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.718056 microseconds in minutes?\nAnswer: 0.0000004619676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*h - 3914, 3930 = 4*h - 8*v + 3*v. What are the prime factors of h?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -4 (b) 47550 (c) 8 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 200*u**2 - 2340*u + 6480.\nAnswer: -5*(u - 18)**2*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from {q: 2, t: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4308, -21409, -49910, -89811, -141112, -203813?\nAnswer: -277914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 7\/31 (b) -8 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 10*v**2 + 3*v + 15. Let q be g(-10). Let c = q + 37. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*z - 4294 = 11306. What is the remainder when 9838 is divided by z?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-284)\/528*(-8)\/(-12))\/1 and 49\/88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 9 - 13. Let w(y) = 7*y**2 + 2*y**t - 5*y**2 - 2*y**2. Let p(c) = -5*c**2. Give p(w(i)).\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 693 + -675. Let m be 2\/6 - (186\/n - 14). What is the highest common divisor of m and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560\/(0 + 4) - -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**3 - 9*w**2 - 2. Let d(n) = 8*n**3 - 19*n**2 - 5. Let k(s) = 2*d(s) - 5*y(s). Find the third derivative of k(z) wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = 3. Let f = k + 10. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, v: 1, y: 3}. What is prob of sequence ydyd?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -401177 and 0.2.\nAnswer: -80235.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a factor of 35148471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -0.4 (c) 2 (d) 3 (e) -67\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 8*z**2 + 22*z - 10. Let n be x(10). Let t be (-14)\/(42\/(-9) - n\/(-15)). Factor 8*k**3 + 11\/2*k**2 + k + 0 + t*k**4.\nAnswer: k*(k + 1)**2*(7*k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = c - 6*c + 471, 178 = 2*c + 3*z. Let f(m) = 15*m**2 + 2*m - 1. Let p be f(2). Let u = c - p. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hthhhztshhcth. Give prob of picking 2 h and 1 t.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.212\nAnswer: 0.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -1)*66\/(-66)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4, 0 = -5*s - x - 265254 - 39745. What is s rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 118678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 10 + 0*b - 10*b - 3*b. Let i = 2 - 0. Let p(a) = -4*a + 3. Calculate i*t(k) - 7*p(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3981*k + 6273. Determine w(-2).\nAnswer: -1689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 754 by 5.\nAnswer: 754\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 102*a = 435. Let n(j) be the third derivative of -j**4\/6 - 7*j**3\/6 - j**2. Calculate n(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13328519011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/((-1)\/(7\/((-2590)\/(-10)))).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 176177 from 169.\nAnswer: -176008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7138?\nAnswer: 2, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 5*o. Suppose -3*c - 4*x - 11 = 11, o = 4*c + x + 12. Let z(j) = -j**3 - j**2 - 2. Let t be z(c). Solve t*i - 3 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 7*f**2 + f + 4. Give n(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 32*p - 270. Let x be t(20). Let i be (24\/(-20))\/(6 - (-168)\/x). What is the closest to 0 in i, 0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 14*x**3 + 2*x**2 - x - 4. Let k(z) = 27*z**3 + 3*z**2 - 2*z - 7. What is 5*a(t) - 3*k(t)?\nAnswer: -11*t**3 + t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -1)\/(180\/(-93) + 2). Is 30 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - l + 1 = 0, 58282*m - 58287*m + 5*l + 25 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, t: 2}. Give prob of sequence kkt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 v, and 1 b when three letters picked without replacement from bbbdvvddbbubuddbbb.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -303.1002387 - -303.1. Round n to five dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o, -942 = 5*u - 4*o + 332. Let c = u - -142. What is the tens digit of (c\/12)\/(2\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-4)*44\/(-77)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 2*o - 436. Let a be i(-22). Solve a*b + 12 = 2*p, -5*b - 8 - 1 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + 3*t)*(3 - 4 + 0) + 4*t - 3*t - 3*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 13.\nAnswer: 0, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 8888.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2666 or -2650?\nAnswer: -2650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/15)\/(1\/(-15)). Let w = m + -7. Which is the smallest value? (a) w (b) -2\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5cc7 + 5?\nAnswer: 5ccc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97340 (base 12) to base 9.\nAnswer: 333223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 795\/2 - 399. What is the nearest to -0.1 in -3\/5, 15, v?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = v - 8, 33*b - 3*v + 10*v + 58 = 32*b + 12*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*6\/24*(-1 + 3). Solve -f*k + 0*s + 10 = s, 5*s = 5*k - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 677*m + 5734737 - 8665*m - 5734737 to z + v*m and give v.\nAnswer: -7988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2090432?\nAnswer: 2, 89, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -364, 1\/5?\nAnswer: -364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*t - 30435 = -179*t - 241767. What are the prime factors of t?\nAnswer: 2, 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - 0. Let n = p + 12. Suppose 0 = -n*x + 2*x. Is x less than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -366*f**4 - 485*f**2 + 3546293*f.\nAnswer: -4392*f**2 - 970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-69)*(-943)\/(-82))\/((-15)\/(-55))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 10001100?\nAnswer: -10001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.536601 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.26 + 6. Let c = m + -20.74. Let x = 21.0009 + c. Round x to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtb when three letters picked without replacement from bbjbvtj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/1302 + (-1539)\/(-21546).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 9:49 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*y - 549 = 0, y = m + 3*y - 141. Let x = -68 + m. List the prime factors of x.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-146326)\/(-92) - 1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.2 + 20.59. Let o = 0.61 - m. Let k = o - -0.823. Round k to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (152\/494)\/(224\/104)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 + -228. Let h = w + 114. Solve 11*k - 69*k + 2*k + 16*k**3 + h*k**4 - 12*k**2 - 32 + k**4 = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7091151 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 315248 and 13?\nAnswer: 4098224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26753*m + 2*m**2 + 26753*m.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 136*r**2 - 7*r + 1. Let s(y) = 45*y**2 - 2*y. Calculate 7*s(p) - 2*z(p).\nAnswer: 43*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4*i - 548, 0 = -f + i + 157 - 14. Suppose 0*l = 5*l - f. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 6. Calculate the smallest common multiple of b(-5) and 3 + (3 - (-6 + 2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -5) + 1 + (22 - 26).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2\/3 - 143686*x\/3 - 287380\/3 = 0.\nAnswer: -2, 71845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eddimiiii. What is prob of picking 3 i?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 1 = -h. Let u be -1 + h - 0\/(-1). Put u, -1\/2, 0.2 in descending order.\nAnswer: 0.2, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46389769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44048922 by -334.\nAnswer: 131883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -828086, -1656182, -2484276, -3312368, -4140458?\n\"Answer: k**2 - 828099*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z. Let p = z - 0. Suppose 2*q + q - 12 = p. Solve q = -2*m - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-6)\/(-9))\/((-8)\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1930057 is divided by 833?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2236*v**2 - 747*v**2 - 616*v - 740*v**2 - 747*v**2.\nAnswer: 2*v**2 - 616*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*h**2*v - 51*c*h**2 - 13*c*h*v + 15*c*h + 114*h**2*v - 1068*h**2 + 34*h + 2*v - 92 wrt h.\nAnswer: 4*c*v - 102*c + 228*v - 2136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 376181 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -50*t**3 - 56*t**2 - 9. Let g(d) = 25*d**3 + 28*d**2 + 4. Let z(r) = 9*g(r) + 4*n(r). Find the third derivative of z(l) wrt l.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6701, 27104, 61211, 109028, 170561, 245816, 334799?\n\"Answer: i**3 + 6846*i**2 - 142*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*5\/40)\/(-1). Which is the smallest value? (a) y (b) -1\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233499, 466769, 700039, 933309, 1166579?\nAnswer: 1399849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 + 8*x + 13. Let t be b(-5). Calculate the highest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -203766, -93, -5 in decreasing order.\nAnswer: 3, -5, -93, -203766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -79. Suppose p*q = 2*q + 45. Sort q, -3, -5 in ascending order.\nAnswer: -5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214912?\nAnswer: 2, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 25876*o**2 + 13007648*o - 1704527168.\nAnswer: 4*(o - 5933)*(o - 268)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10044155, 40176610, 90397369, 160706432, 251103799, 361589470?\nAnswer: 492163445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1978657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45\/2 - -18. Which is the second biggest value? (a) 3 (b) -1 (c) -3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((5 + sqrt(1539) + sqrt(1539))*-2)**2 - ((-2 + sqrt(1539))**2 + 2))*-6.\nAnswer: 4536*sqrt(19) + 139074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221210020 + -110011?\nAnswer: 2221100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1288*f - 11854. What is a(10)?\nAnswer: 1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 2375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**4\/2 - 44*r**3\/15 - 28*r**2\/5 - 16*r\/5 - 14. Factor m(c).\nAnswer: -2*(c + 2)**2*(5*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2537 divided by 13.\nAnswer: -2537\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6757 + -387.\nAnswer: -7144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 8 - ((-45 - -49) + -69)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 - -7.12. Let h = i + -7.000014. Round h to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1192?\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 3*x + 3 - 6, -3*v + 25 = -4*x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10506 is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -145. Let w = r - -297. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyy when three letters picked without replacement from xglygyilgxgllx.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2052, 1734, 12010, 32022, 65016, 114238, 182934, 274350?\nAnswer: 391732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 10:30 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -2) + 8\/1. Let b = -83 + 86. Suppose -b*z - t = -8*z, -4*z - 202 = -5*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 o when four letters picked without replacement from {n: 8, x: 1, y: 1, w: 2, o: 6}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x = 26*x - 6. Put 0, x, 5 in descending order.\nAnswer: 5, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -615*k*n**3 - k*n**2*z + 2*k*n*z**2 - n**3*z**2 + 3*n**2*z**2 - 2*n**2*z - 7*z**2 wrt n?\nAnswer: -3690*k - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20622 is divided by 6496?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 191, 0, -3814 in ascending order.\nAnswer: -3814, 0, 2, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3)\/(6\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h = 17*h - 300*h + 13912 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1599 - 918. Calculate the remainder when u is divided by 99.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1581511788 by -5438.\nAnswer: -290826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164, -366, -1528, -3322?\nAnswer: -5748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - r - 2*r + (0 + 6 - 4)*(r - 2 + 2) + 0*r + r + 2*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 436, 1027, 2628, 5743, 10876, 18531, 29212, 43423?\nAnswer: 61668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113 + 2*l + 144 + 13 to d*l + x and give x.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 2*k - 20. Let u be d(-6). Let p = u + -4. Solve -w - 3 = -p*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 11998.27803\nAnswer: -11998.57803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 18*p**3 - 2 + 10*p**3 wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 3. Let w be -2 - k\/2 - 2. Let t be 3\/((-19)\/(-8) + w). What is the highest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175773643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 11:41 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 38*h - 31. Let u be t(18). Suppose -u*p = 0, -4*y + 4*p + 0 + 12 = 0. Let n(v) = 4 + 0 + 0 + v**3 - 4*v**2. What is n(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3360643 to 2 decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - m + 1. Let c(u) = 3*u**2 + 2*u - 1. Let d be ((-14)\/(-49))\/((-3)\/(-21)). What is d*i(k) + c(k)?\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -289 (base 11) to base 15\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28024, 56082, 84140?\nAnswer: 112198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7080 = -206*d + 88*d. What is the remainder when 173 is divided by d?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 4*h**2 + h + 2. Let t = -6 - -10. What is w(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 32 + 4. What are the prime factors of -25*(2 - 3)*b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from {j: 5, x: 7, t: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -391*y**3 + 9. Let c(f) = 262*f**3 - 6. Determine -7*c(j) - 5*p(j).\nAnswer: 121*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*r + 108 = -6, -3*r - 99 = -3*t. Let h = t + -17. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 9*j - 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*s**2 + 379 + 3*s**2 - 9*s**2 - 3163 + 223*s**4 wrt s.\nAnswer: 892*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -170 - -194. Let t be (-1)\/(u\/(-4) + 7). Let o = 11.7 - 12. What is the second biggest value in -0.4, t, -4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 20 = 5*i - 51, -5*c - 4*i = -113. Let n be ((-18)\/c)\/((-2)\/7). Find the third derivative of -4*l**2 - n*l**6 + 7*l**6 - 15*l**2 + 3*l**6 wrt l.\nAnswer: 840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 - (78 + -35) - 56?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x = -3*v - 3 + 11, -4*v - 3 = x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.17 - -0.67. What is x rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 10*g**2 - 3*g - 4. Let h(b) be the third derivative of 6*b**2 + 0*b + 1\/24*b**4 + 1\/6*b**3 + 0 - 1\/20*b**5. What is -14*h(p) - 4*r(p)?\nAnswer: 2*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2140405974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 250695654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**2 - 5*n + 5*n)*(-802 - 93 + 3405 + 2055) to the form p*n + x*n**2 + r and give x.\nAnswer: -9130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3134 - -12?\nAnswer: 3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = 1. Suppose s*c + 2*c = 0. Suppose -2*y + 4 = 0, -y - 6 = -2*q - c*y. Calculate the smallest common multiple of 10 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 350.9 + -351. Put -15, -5, l in ascending order.\nAnswer: -15, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.54 + -6.34. Does -171 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241467567?\nAnswer: 3, 11, 619, 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1582*h - 33225. Calculate y(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**12\/(a\/(a**(-4\/11)\/a))*a**(-14)*a**14\/a assuming a is positive.\nAnswer: a**(95\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - 4*q + 70. Calculate y(-9).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 49\/21) + 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*u + 312 = 0, 2*j - 4*u + 68 = 3*j. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 13 - 4\/9*o**3 - 2*o**2 - 8\/3*o. Factor a(k).\nAnswer: -4*(k + 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-132))\/(3\/(-72)*-39).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 34*w**2 + 2*w - 61. Let g be k(34). Solve -v = 3*t - 16, -v + 14 = 4*t - g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-42) + 40\/(-7). Let i = b + 8. Suppose 3*g + 3*r - 12 = -0*g, g - 7 = -i*r. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16275 and 8344425?\nAnswer: 58410975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1204*x**3 - 25094*x**2 - 293*x**3 + 25094*x**2.\nAnswer: -1497*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 - 23*s\/2 + 529\/4.\nAnswer: (s - 23)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 438398923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11200 - 11?\nAnswer: 11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 4*s + 7. Let i be 4\/(-20) + (-6 - (-112)\/10). Determine j(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - s - 2)*(35477*s - 31621*s + 1 - 3).\nAnswer: -3856*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167266864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*i*w**3 + 10*i*w**2 - i*w - w**3 - 2175*w**2 wrt i.\nAnswer: 20*w**3 + 10*w**2 - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -45 + 13. Let n be (-2)\/((f\/(-4))\/(-366)*2). Round n to the nearest 10.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c + 53*c - 28*c + 26.\nAnswer: c + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3*q**5 + 95*h**3*q**2 + 409*h**3*q + 20759*q**5 wrt q?\nAnswer: -120*h**3*q**2 + 1245540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 734517 and 66024?\nAnswer: 5876136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Suppose o*s = -0*s + 14. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**7\/630 + s**6\/180 + s**5\/12 + s**4\/18 - 10*s**3\/9 + 2*s**2 + 177*s. Factor y(u).\nAnswer: -(u - 5)*(u - 1)*(u + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (16 + -30 - 14)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-42)*(-33)\/22?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 1 in descending order.\nAnswer: 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2320 + 2?\nAnswer: 2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**3 + 10*p + 7. Suppose 28 = w + 23. Let c(i) = -3*i**3 + 5*i + 5*i + 0*i + 5 - 5*i + 2*i. Determine w*f(z) - 7*c(z).\nAnswer: z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 53.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (0 - -1 - 3). Let l = j + -2. Which is smaller: -4\/15 or l?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 28*m + 1. Let s(t) = 27*t + 1. Calculate 7*s(u) - 6*z(u).\nAnswer: 21*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/87, 1\/4, 2\/3, 43, -0.4, 158, 4?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/19? (a) 2\/15 (b) 0.4 (c) 0.23 (d) -1 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 0.3. Let n = 205.5 - -46.5. Let k = -252.2 + n. What is the closest to k in 0.02, g, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.62985 rounded to 1 decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4 + 67*i + i**2 - 23*i - 34*i. Let m be z(0). Solve m*w + 4 = 4*u, 1 = -2*w + u - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 857109678 to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 803 + 251. Factor -u*d**2 + 2*d**3 + 138*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 8. Let w(x) = 1. Let m(g) = -l(g) - 3*w(g). Suppose 21 = -0*q - 3*q. Let b(i) = i**2 + 6*i - 10. Let d be b(q). Calculate m(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/12))**(2\/113) assuming w is positive.\nAnswer: w**(13\/678)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 59*c - 108. What is h(-57)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1765, -3527, -5275, -7003, -8705, -10375, -12007, -13595?\nAnswer: -15133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -7*d**6\/4 - 111*d**5\/10 - 141*d**4\/8 + 13*d**3\/2 + 45*d**2\/2 + 3247. Determine k so that c(k) = 0.\nAnswer: -3, -2, -1, 0, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1872 is divided by 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*s**3 + s**2 - 5*s**3 + 494*s**4 - 496*s**4 - s as p + d*s + z*s**2 + q*s**4 + u*s**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*q + 6 - 11 - 3354*q + 12 - 7.\nAnswer: -3672*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2920 + 2921. Let u = 33 + -100\/3. Which is the nearest to u? (a) -1\/2 (b) -2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4606*m**2 - 18993*m**2 + 5438*m**2 to b*m**2 + s + t*m and give b.\nAnswer: -18161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265, -267, -269, -271, -273?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -317, -1\/4, -4, 10 in increasing order.\nAnswer: -317, -4, -2\/3, -1\/4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91068.52nm in kilometers?\nAnswer: 0.00000009106852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-five halves of a century?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98353507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 10*v**2 + 11*v - 13. Let y(m) = 2*m**3 + 3*m. Let b be y(3). Let g be b\/(-42) + 38\/(-4). Let k be f(g). Put k, -1, 5 in increasing order.\nAnswer: k, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2558 + 7670\/3. What is the closest to 0 in -4, -0.29, u?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 36130?\nAnswer: 3613a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 6. Suppose -6*p = -4*p - 4. Let h(n) = -1. Let c(r) = p*h(r) - x(r). Suppose -2*g = -6*g + 4*b + 12, 0 = 2*g - 3*b - 5. What is c(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466914 is divided by 8489?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 1. Let x(y) = 5*y**3 - 4*y**3 - 3*y**2 - 4 - 4*y**3. Let b(f) = 3*l(f) + x(f). Differentiate b(a) with respect to a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**3 - 87*p**2. Let t(q) = -2*q**3 - 43*q**2. Give -6*s(a) + 11*t(a).\nAnswer: 2*a**3 + 49*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 1, 2, -2 in descending order.\nAnswer: 40, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/90906 or -1?\nAnswer: -19\/90906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -78, -1\/4, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -639*b*i**2*n - 88499362*b*i - 2*b*n - 6961*i**2*n wrt i?\nAnswer: -1278*b*n - 13922*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 21*k + 2*a - 19 = 0, -3*k = 2*a - 61. Suppose -f - 2*f + 9 = 0. Suppose 0 = -p - f*p + 28. What is the greatest common factor of k and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.15279 millennia in decades?\nAnswer: 9115.279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.5059 decades to centuries.\nAnswer: 4.65059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -53493723*r. Let z(a) = -11*a. Give z(f(u)).\nAnswer: 588430953*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a**2 - 12*a**2 + 13*a**2.\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(1\/8). Suppose n = k*f + 16, -n = f + 3*f + 16. Put -5, f, 3 in increasing order.\nAnswer: -5, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 2*h - 4*h**3 + (4*h**2 + 0*h**2 - 5*h**2)*(-3*h - h + h) + 281*h**3 + 26*h**3 + 278*h**3.\nAnswer: 584*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 12 = -5*w - 0*c, 5*c + 5 = 0. Let l(h) = -w*h - 1 + 2*h**2 + 4*h**2 - 8*h**2. Let g(x) = -x**2 - x. Determine -g(z) + l(z).\nAnswer: -z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -240 divided by -6\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31112 + 210?\nAnswer: -30302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-5 - 5 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/119 - -244\/357. Let f(z) = -z**2 + 5*z + 6. Let u be f(6). Determine o so that u*o**2 + 2\/3*o + 0 - d*o**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1019723?\nAnswer: 1019727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e402d - 5?\nAnswer: e4028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t + 2. Let r(z) = -7*z**2 - 23*z - 14. Let i = -31 - -35. Let l(y) = -3*y**2 - 11*y - 7. Let a(g) = i*r(g) - 9*l(g). What is 2*a(p) - 7*h(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35.6 - -41. Let l = n - 0.4. Which is the second smallest value? (a) 3 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/(-12))\/((-1)\/(-2)). Solve 5*j - l - 17 = 0, 5*j - 3*l = 2*l + w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-5)\/(-2) - 5\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1202022 (base 3) to base 13\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*((3 + 1 - 3)*(2*y - 3 + 3) + (183*y + 246*y + 385*y)*(4 - 4 + 2)).\nAnswer: -3260*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**5\/2 + 117*d**4\/2 + 741*d**3\/2 - 2097*d**2\/2 - 372*d + 990 = 0.\nAnswer: -30, -11, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*f - 0*h + 5*h, h = 5*f - 13. Let q(s) = s**3 - 2*s**2 - 2*s - 1. Let o be q(f). Let l be (-5)\/o*0\/(-2). Solve i + 3*i = l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -274 + 273. Let y(j) = -3119*j**3 - 7*j**2 - 3*j + 2. Is y(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142604570 to the power of 1\/2, to the nearest integer?\nAnswer: 11942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 537, 1434, 2331?\nAnswer: 3228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 589108251 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, w: 2, k: 8, q: 6}. Give prob of sequence cwqq.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4833 or 16433?\nAnswer: 4833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from ttuutuuvttyust?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -11*q**2. Suppose 5*p + 0 = 15. Suppose -c - 1 = -p. Let l(t) = 5*t - 2*t - c*t. Determine w(l(s)).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173052528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 74 (b) -8.74 (c) 2 (d) 13 (e) 0 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16481361 to the power of 1\/2, to the nearest integer?\nAnswer: 4060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 347, 349, 351, 353, 355?\n\"Answer: 2*i + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 104143043?\nAnswer: 104143041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368977?\nAnswer: 7, 52711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**4 - 68*u**3 + 320*u**2 - 336*u = 0.\nAnswer: -21, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**3 - 159*q**2 + 119*q - 76. Let r be a(39). Let h be -3 + -4 - (-2)\/1. Is h less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-15) + ((-30940)\/(-150))\/26?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - b + 15, 3*b - b = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 149*t - 493. Determine n(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -25472?\nAnswer: 3\/25472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -1, 5 in descending order.\nAnswer: 5, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -730*y + 32359. List the prime factors of o(0).\nAnswer: 32359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*t**2 + 23516*t + 23552*t - 47128*t to the form m*t + o*t**2 + y and give o.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djj when three letters picked without replacement from {j: 6, d: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaaoyykyoaavkvaoayok. Give prob of sequence yv.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -2612\/29. What is the nearest to p in -5, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-8*(6090\/(-27840))\/(2\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 168 = -2*q, w = -0*q + 3*q + 56. Let j = w + -52. Suppose 0 = 4*l + 8, -j*a + 145 = a + 5*l. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.286631 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121176398.\nAnswer: 2, 7, 8655457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -527*i**2. Let o(v) = -2*v - 431. Calculate o(x(t)).\nAnswer: 1054*t**2 - 431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 3, -11, -5, -6 in ascending order.\nAnswer: -11, -6, -5, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156319947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b. Let i be 1\/(-3) + 17\/(-3). Let h(g) = -4*g. Let a be 102\/30 + 10\/(-25) + 23. Let s(f) = -f. Let q(o) = a*s(o) + i*h(o). What is j(q(u))?\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a + a**2 + 0 + 42*a**3 - 4 - 149*a**3. Let t(h) = -h**3 + 1. Let y(x) = -j(x) - 4*t(x). Let r be y(-10). Round r to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -357 + 2502\/7. What is the biggest value in -1, 8\/15, v?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080956 times 39.4?\nAnswer: 81989666.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9860850 is divided by 7734.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.194267656 to four decimal places.\nAnswer: 0.1943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 8\/7, 0.3?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b + 5. Let r(l) = -l**2 - 7*l + 4. Determine -4*j(k) + 5*r(k).\nAnswer: -5*k**2 - 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 - -59. Which is bigger: 3\/4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 371*f + 3. Let w(t) = 11500*t + 92. Calculate 92*a(v) - 3*w(v).\nAnswer: -368*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615243 is divided by 2735?\nAnswer: 2603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 70, -99, -742, -2093, -4386, -7855?\n\"Answer: -39*x**3 - 3*x**2 + 113*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 - -69. Let b be (-4 - -4)\/(i\/6*-2). Suppose 4*t + 20 = 0, 3*t + b = -3*z + 3. Let v(r) = -r + 3. What is v(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1727 - -2867. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -3\/5 (b) 0 (c) 26.57 (d) 2\/219 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 13161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 2*v. Suppose -5*p + 3 + 12 = v. Put -3, 1, p in decreasing order.\nAnswer: p, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*x**3)*(3*x + 2*x - 3*x) + (-x - 5*x + 5*x)*(8*x**3 + 23*x**3 - 17*x**3).\nAnswer: -20*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -18 - 1)*(-7)\/(-21). Solve 3*n - 19 = -3*x + 7*x, 4*n - 25 = w*x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**4\/24 - 355*a**2. Let u(o) = 8*o**2 - 4*o - 4. Let l(d) = -d**2 + d + 1. Let z(q) = -20*l(q) - 5*u(q). Give n(z(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a day in seconds?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 44*h**2 + 150*h + 60. Let k be s(-3). Solve k*n = 607 - 637 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2281441958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.976 * -0.5.\nAnswer: -3.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*v**2 - 23*v**2 + 48 - 24 - 22.\nAnswer: 89*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + 2 + -7 + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 5, o: 7, n: 2, c: 4}. Give prob of sequence chc.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 g when four letters picked without replacement from {g: 7, y: 2, r: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457004 is divided by 114237?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -538 + 959. Let k = x - 419. Let s = 6 + -8. Which is the closest to k? (a) -0.5 (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/28)\/y)**(1\/25)*(y*(y*y*y**(2\/15)*y)\/y)\/(y*y*y*y**(-28)) assuming y is positive.\nAnswer: y**(58993\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25379, 50759, 76139, 101519, 126899?\nAnswer: 152279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 9\/((-2)\/28*(-13)\/39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1618202100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119927, 239854, 359781?\nAnswer: 479708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103449796?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 19*w + 29. Suppose -16 = -4*a + 6*a. Let r be x(a). Solve r = 3*c - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 16\/7*r**3 - 20\/7*r**2 + 0 + 4\/7*r = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/183810 and -103\/242408628?\nAnswer: 1212043140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -256, 12 in increasing order.\nAnswer: -256, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 471, 4571, 15939, 38211, 75023, 130011?\n\"Answer: 606*q**3 - 2*q**2 - 136*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 9:53 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - 8*f - f)*(-4 + 2 - 2) - 4*f - f + f in the form o + t*f and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1211 (b) 1\/7 (c) -4 (d) -99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.09382 (b) -4 (c) 60.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22 times -2.875\nAnswer: -63.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1006.001 to the nearest integer.\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2776, 2646, 2432, 2134, 1752?\nAnswer: 1286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -220921.46146 and 0.0865.\nAnswer: -220921.37496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -87*d**3 + d - 3. Does 54 divide i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/7 + 604*c**2\/7 - 45602*c\/7.\nAnswer: -2*c*(c - 151)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16999 = 396*t - 398*t + 3*h, -2*t - 2*h + 16984 = 0. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66167755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-3) + (-40)\/90 + 19\/9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*k = -77*k + 24. Solve -k = -14*d + 11*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**5 + 4*s**2 + 2. Let b(a) = 296*a**5 - a**3 + 37*a**2 - 2586*a + 22. Let w(k) = -b(k) + 11*z(k). What is the second derivative of w(j) wrt j?\nAnswer: -6140*j**3 + 6*j + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1427 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k - 22. Let l be s(-5). Suppose l*p = w + 7*p - 1617, -3*p = -4*w + 6563. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*k**2 - 6*k + 28 wrt k.\nAnswer: 22*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175 - 19. Suppose -3*i - i + y = 0. Suppose -2*g = g - i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6424 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**2 - 68*n - 461. What is the remainder when 757 is divided by p(-6)?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1 = -4*u + 9, -3*p - 3 = 0. Let l be (-4)\/2*(-3)\/(-2). Let b(h) = -6*h. Let f be b(l). Solve -2*g = -g - 3*r + f, 4*g + u*r = 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1097 - -1105. Calculate the smallest common multiple of p and 46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278949413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -13*i**2 - 7*i + 4. Let c(s) = -3*s**2 - 2*s + 1. What is 9*c(q) - 2*w(q)?\nAnswer: -q**2 - 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.46888 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u - 32. Let f be i(7). Suppose f*x = 22*x + 18. What is the least common multiple of -3*(-3 - (-2 + 1)) and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from zzzzrrzzzzzrzzrrzzzz?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 11, -6 in descending order.\nAnswer: 11, 2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145 + -488. Let a = -343.0000457 - s. What is a rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142 + 146. Let s(p) = -p + 2. Let r = 3 - 1. Let z be s(r). Solve -12 = 2*m - z*m + v*x, -2 = 2*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2191499.\nAnswer: -4\/2191499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c - 36. Let w(x) = -x + 7. Let h(t) = -4*d(t) - 21*w(t). Let k be h(-2). Suppose 357 = k*l + 150. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 4*b**5 + 22*b**3\/3 - 23. What is the third derivative of l(i) wrt i?\nAnswer: 480*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (7 - (1 + -1)). Let r(k) = -2*k**2 + 8*k + 18. Let a(t) = -3 - 8*t - 13*t**2 + 14*t**2 - 9. Let m(c) = 3*a(c) + 2*r(c). Determine m(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85408.13 days to nanoseconds.\nAnswer: 7379262432000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -52*p**2 + 16173*p - 307. What is t(311)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23197747 + 4*u - 23197747.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 5*u = -13*v + 19, 4*v + 2*u = 46. What is the remainder when 29 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.69 + 0.19. Let r = -17\/10 - -11\/5. Let b be 10\/(-18)*(-1 - 2). What is the nearest to r in s, 2, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362 = k + 2*h, 6*h = 3*k + h + 1086. Let u = k + 10861\/30. Let y = -1\/10 - u. Which is the closest to 0? (a) 0 (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684252224.\nAnswer: 2, 521, 20521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 4*w + 0*w - 2*w)*(277*w**2 - 2745 + 2745).\nAnswer: 554*w**3 - 8864*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3\/4 + 33*z**2\/4 + 7*z\/2.\nAnswer: -z*(z - 7)*(5*z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from ggjjgjpiggjppij?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 - -74.5. Let g = p - 5.5. What is the third biggest value in -1.1, g, 0.3?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2805 and 1485?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -2, -1955, -1\/4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6118084 and 20398?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 8*a**2 + 7*a + 1. Suppose 4*l + 1 = -g + 3*l, 4*g + 9 = -3*l. Let u be 44\/g + (-3)\/(-9). Let z be s(u). Sort -5, z, 2.\nAnswer: -5, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 897038797\/3219 + -278670. Calculate the common denominator of 43\/6 and l.\nAnswer: 6438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -151, -345, -617, -967?\nAnswer: -1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0383+-0.02\nAnswer: -0.0583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*f, -2*i - 2*f = 119 + 89. Let l = i + 136. Solve -4*o = 2*g - 14, -6*o = -o - g - l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6068 or 0.2?\nAnswer: -6068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7841172790?\nAnswer: 2, 5, 11, 71283389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.54 and 10884795228.\nAnswer: 10884795227.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 169030283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2246, 2249, 2254, 2261, 2270?\nAnswer: 2281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 1. Let r be c(1). Suppose 12 = -r*x + 3*x. What is the lowest common multiple of x and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1181494 and 6848?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 17 - 52*n + 18 + 2.\nAnswer: -52*n + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-99)\/44)\/(-2 + (-13)\/(-8)). Suppose 7 = g*m + 43. What is the common denominator of 71\/6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 24111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - (-19 - (19 - 21 - (9 - 2)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from sdsaassudsssss?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0, 106\/3?\nAnswer: 106\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-6)\/63 - (-3420)\/35. Suppose 11*h - k = 4*h. Calculate the highest common factor of 98 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0551212842 rounded to 6 decimal places?\nAnswer: -0.055121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p**(-32)\/p)\/p)\/(p*p**(-35)))**(8\/15) assuming p is positive.\nAnswer: p**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 0*f**3 + 1\/90*f**5 + 0 - 4*f - 1\/54*f**4 + 1\/63*f**7 + 0*f**2 + 1\/27*f**6. Factor i(l).\nAnswer: 2*l**2*(l + 1)**2*(3*l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121 and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/49*7 + 1 + -8. Let y be (1\/3)\/(l\/(-45)). Suppose y*k = 238 + 74. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 13*z**8\/56 - z**5\/10 - z**4\/12 - 3*z**2 - 4*z. Find the third derivative of b(p) wrt p.\nAnswer: 1560*p**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322 a factor of 68732151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 3, i: 1, o: 4, s: 9}. Give prob of sequence bs.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k**2. Suppose 66 = -140*r + 146*r. Let c(u) be the second derivative of -3*u**4 + 112*u + 4. What is r*l(o) + 2*c(o)?\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -87840000 to the nearest 1000000.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1730 - 1750 - 1909 = -262*b - 5651 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2097, 2040, 1981, 1920, 1857, 1792, 1725?\n\"Answer: -l**2 - 54*l + 2152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4800 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 44. Let g = -10 + m. Suppose -3*w = g*w + 5*b - 205, 0 = 5*w - b - 199. Does 30 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39322.2094 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54335 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 2*k + 5. Suppose 7 = -3*l - 2. Let j(n) = -2*n**2 - 4*n - 9. Calculate l*j(t) - 5*x(t).\nAnswer: t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115411 - -199399. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235286905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - 5*v**2 - 30*v - 55. Let s be q(-2). Which is bigger: 10\/33 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(1000) - -1*sqrt(1000)) + sqrt(891) + sqrt(891) + (4 + 0 + sqrt(891))**2.\nAnswer: 1801*sqrt(11)\/20 + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14209118 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(171) + -1*sqrt(171) - sqrt(171))\/sqrt(9)*6 - (1*sqrt(475)*-3 + 4))*2.\nAnswer: -14 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**7\/360 + b**5\/20 - b**4\/3 + 8*b**2. Let c(j) be the second derivative of w(j). Differentiate c(d) with respect to d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*c + 24*c + 1750. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -25*x**2 + 29*x + 1. Let r be p(1). Let v = -3 - -2.8. Which is the nearest to -2? (a) 1 (b) r (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133000100 (base 4) to base 14\nAnswer: -343cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 29, 3\/7 in decreasing order.\nAnswer: 29, 3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 9952100*s + 12380536801250.\nAnswer: 2*(s + 2488025)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -4 - 4) + (0 - -4). Let c = 5\/23 + -109\/184. What is the smallest value in f, -3\/4, c?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -50*r + 1205. Let o be j(24). Solve o*b - 17 = -z, 14 = 4*b - 2*z + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.40302l to millilitres.\nAnswer: 60403.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = 2*v - 522. Calculate the highest common divisor of v and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 20919184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2201, 2689, 4199, 7301, 12565?\nAnswer: 20561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 267900\/(-1596) + 169 + 454\/(-42)?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14412 and 4?\nAnswer: 14412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**4\/24 + 5*w**3\/6 + 2*w**2. Let j be g(4). Let y(d) = -4*d**3 - d**2 + d. Calculate y(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 0 + 0 + h. Suppose -7*o = -25*o + 18. Let k(i) = 5*i + 5. Calculate o*k(m) - 4*z(m).\nAnswer: m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/6 + 81*b\/2 + 1165\/3 = 0. Calculate b.\nAnswer: -233, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 7*p + 55, 5*v = -44*p + 42*p - 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -35. Let s = 4 - 3.95. Which is smaller: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 42 - 41 = -t, 4*f - 145 = 5*t. Calculate the lowest common multiple of f and 25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 371*h**4*k - 2*h**4 - 2*h**2 + 146*h*k + 2*k wrt h.\nAnswer: 4452*h**2*k - 24*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4389 times -3\nAnswer: 13167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 8 - 8 - 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 510655389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - 47. Suppose 3*p + 2*d - s = -0*d, p + 5*d = 31. What is the lowest common multiple of p and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 35\/(-15) - 100\/(-75). Let y = 1 + -55. What is the second smallest value in -0.4, x, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/13)*m**4*(m\/m**3)\/(m\/m**8) assuming m is positive.\nAnswer: m**(119\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 12 = 0, -5*n - 9 + 4 = 5*q. Suppose -5*x = w + w + 32, q*w + 22 = -x. Let m(o) = -2*o. Calculate m(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -74660 - -209?\nAnswer: -74452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -5.3\nAnswer: 5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.8 + 11. Let l = 169 + -178. Let r = -9 - l. Which is the closest to r? (a) i (b) 4\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 175508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19319.15 rounded to the nearest 100?\nAnswer: 19300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 312 and 2002.\nAnswer: 24024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57846 + -38758. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(((-16)\/(-10))\/((-420)\/525))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5295.7 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 2, -2*l + 6 = 8*o - 7*o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190159 is divided by 5004.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 421 - 420. Let x be ((-13)\/(-2))\/(t\/(1 - -87)). What is the greatest common factor of x and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-225)\/(-50)*(-16)\/(-81)*4?\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 12586*s + 388244.\nAnswer: 2*(s + 31)*(s + 6262)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/32193 and 34\/63?\nAnswer: 32193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4493*a**2 + 4493*a**2 + 58*a**3.\nAnswer: 58*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349540273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25740 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 1\/4, -0.04, 26?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29734300 rounded to the nearest 100000?\nAnswer: 29700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q = -41*q + 532. What is the highest common factor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(4 - 2*y**4 - 4) + (1 - 3 + 1)*(75*y**4 + 107864*y - 107864*y + 2*y**2) + 2*y**4 - 18*y**4 + y**4.\nAnswer: -88*y**4 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5595 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**4\/6 + 157*q. Let x(s) = -134*s + 134*s + 23*s**2. What is x(f(m))?\nAnswer: 92*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = 4*c. Is ((-2)\/c)\/(6\/(-279)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7698044 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9 + -3. Suppose -9 = 3*l, -4*u - 4*l = -0*l + 20. Let g = -447 + 2233\/5. What is the nearest to r in -4, g, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1038 and 249639?\nAnswer: 499278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 3, -4, -12.7, -0.2?\nAnswer: -12.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17996762\/23 + -782342. Let a = 126 - y. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 212.511 + -0.011. Let i = -210 + u. Sort -4, i, 2 in ascending order.\nAnswer: -4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 78, 77, 76, 75, 74?\n\"Answer: -k + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + -4 + sqrt(180)))**2.\nAnswer: -216*sqrt(5) + 1656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5372 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 1 (c) 0.8 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/5 + 2 + -1)\/2. Suppose q = -4*d + 11 + 5. What is the units digit of d*(2\/4)\/(9\/531)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 1. Let t = 5 + h. Is 59\/3 - t\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -969999 - 260001. Round q to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/sqrt(3) + 0 + sqrt(14)\/sqrt(32))**2 - (4 + (-1*sqrt(7)*1)**2))*6.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - d - 1. Let u be -2 - (-1 - (-5 - 1)). Let o(c) = 13*c + 7. Let r(j) = -11*j - 9. Let s(m) = -4*o(m) - 5*r(m). Let i be s(u). What is v(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x + 8. Let n be b(-7). Let f = -45087 - -45083. Let y = -3.03 - -0.03. What is the fourth biggest value in n, 1, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(((-27)\/(-30))\/(-6*30\/3900))?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 267*j**2 + 264*j**2 - 502*j**2. Let f(x) = -55*x**2 - 1. What is o(f(h))?\nAnswer: 87725*h**4 + 3190*h**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppjp when four letters picked without replacement from {j: 4, p: 15}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(2) + -2)*4 - (-1 + sqrt(2) + sqrt(72))) + (-2*sqrt(12)*1)\/(sqrt(600) - (sqrt(600)*2 + sqrt(600)) - sqrt(600)).\nAnswer: -7 + 16*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**2 + 21*d + 12. Let m(c) = -183 + 362 - 178 - 3*c. Let z(r) = -f(r) + 2*m(r). Determine x so that z(x) = 0.\nAnswer: -5, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**3 + 360*t**2 - 675*t - 74. What is o(2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 10*z**3 + z**2 - 1. Let d be r(1). Let y be 2 - (-4 + (-38)\/(-9) + (-48)\/(-27)). Solve y = -v + 2*p + d + 2, -2*v + 14 = -2*p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**7*a)\/(a**18*a))\/(a**(-12)\/a)**(8\/13))**(-35) assuming a is positive.\nAnswer: a**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**3 - 5*g**2 + g + 5. Let a(o) = o**3 - 28*o**2 + 59*o - 188. Let z be a(26). Let m(t) = -5*t**3 + 6*t**2 - 2*t - 6. Calculate z*j(q) - 5*m(q).\nAnswer: q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from gettg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 47*v + 46*v = -9, 23 = 5*x + 2*v. Solve 0 = 4*i - 4, 3*i + 12 = -x*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556*k - 766*k - 597*k + 2120*k.\nAnswer: 201*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = 0, -k + 22 = 4*m - 8. Does 7 divide ((-35)\/10)\/((-2)\/(m - 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.041 to one decimal place.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -3. Let u be (-5 - -1) + ((-20)\/4 - -10). Suppose u + 2 = 3*f. Sort f, 4, y.\nAnswer: f, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 22*y**2 + 2*y + 984. Let w(l) = -2*l**2 - 6. Let v(d) = s(d) + 6*w(d). What is the first derivative of v(n) wrt n?\nAnswer: 20*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*y - 54934 = 81281. Suppose 0 = -0*x - 4*x - 2116. Let k = x - y. Round k to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*t + 182*t = 387*t - 194256. Is t a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 12. Suppose -26*m + 107*m = 0. Let f = 5 + -7. Sort m, f, a, -1 in ascending order.\nAnswer: a, f, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*k + 4 = 2*p - 99*k, 0 = -2*p + 5*k + 4. Determine m, given that -2\/5*m**5 + 4\/5*m**4 + 2\/5*m + 0 + 0*m**3 - 4\/5*m**p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + -1*sqrt(117)) + -4*(sqrt(13) + -4) + sqrt(39)\/(sqrt(3)*-4))**2.\nAnswer: 693*sqrt(13)\/2 + 78373\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 91*b**6\/120 + 39*b**5\/20 - 56*b**2. What is the third derivative of m(o) wrt o?\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3462*u + 40569. Determine v(-12).\nAnswer: -975","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 314.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -3, -0.3, 3\/35?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 54. Let c = 11 - n. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Let w = -21506 + 21512. Calculate the lowest common multiple of w and (22 + 2)\/d - 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 4. Let j be (12\/36)\/((-1)\/(-18)). Suppose -g = -j*g - 15. Determine c(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5*r + r + 3 = -r - 2*r, -4*y + 12 = 77*r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17732449793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 9*t + 2 + 2.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -309*f + 513. Does 40 divide k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*b = 12060, 2*b = -4*y + 7954 + 8126. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -416 + 2263. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbcarccalvcccllalal. What is prob of picking 2 l and 1 b?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1526710?\nAnswer: 2, 5, 152671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m**(3\/10))*m*(m**6\/m)\/m)\/(m\/((m\/m**(-2))\/m)*(m\/(m\/(m**(-4\/7)*m)))\/m)*((m\/m**(-1\/3))\/(m\/m**(-5\/6)*m*m))**36 assuming m is positive.\nAnswer: m**(-5791\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 255*a - 19. Is d(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 9*k**2 - 8*k + 4. Let r be s(-8). Suppose 71 = g - r*p, 0 = g - 0*p - p - 56. Suppose -g + 136 = 5*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50756484 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**3 - 3*l**2 + 6*l - 6. Let c(j) = 9*j**3 + 7*j**2 - 17*j + 19. Let m(x) = 6*c(x) + 17*n(x). Let m(d) = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u + 2*g - 5, 3*u = -5*g + 8. Let a = u + -4. List the prime factors of 3*a\/(-1) + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -14.99, 58, -164, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u. Let h(s) = s**2 + 5*s + 6. Let y be h(-4). Let a(f) = -f. Calculate y*a(o) - 2*x(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-10197))\/((444\/72)\/37)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -91*q + 79*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*i - 94, r - 25 = -4*r. Let w = -8 + i. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/8, -26, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 3*y - 3*y - y - y - 63. Let m(a) = -a**2. Give p(m(v)).\nAnswer: 3*v**2 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + sqrt(102)\/sqrt(6) + (-1*sqrt(204))\/sqrt(12) - (4*(sqrt(102) - sqrt(102)*-2))\/(sqrt(726)*1))**2.\nAnswer: -384*sqrt(17)\/11 + 17536\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4319 is divided by 88?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/30 and 37\/10726746?\nAnswer: 53633730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 5. Let r be b(7). Let a be r\/(-1) + 1 + -8. Let f = a + 31. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3594*r + 11976 - 79083 = 134967 + 20754 for r.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.2599104 + 5.26. What is d rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*i = 6*x - 132, i + 103 = 3*x. Suppose -5*r - 49 = -x. What is the closest to r in -3, -3\/2, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 + 3. Suppose -14*q = -17*q + 3*o + 15, 4*o = -5*q - 29. Which is the closest to 2\/13? (a) r (b) 1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-10))\/(2\/(-24)). Suppose -6 = 6*h + x. List the prime factors of -2*(h\/(-5))\/((-4)\/305).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103\/18 - 11\/2. What is the closest to 1 in 0, j, 14?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j + 2 + 2*j - 3*j. Let k(s) = s**3 + 2*s**2 + 10*s + 6. Let p(o) = -o**2 + 2*o + 1. Let q(w) = k(w) - 2*p(w). Let g be q(-2). Give a(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433824021 to the power of 1\/2, to the nearest integer?\nAnswer: 20828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*2*-6*1*-1*sqrt(180))**2 + 4 + -1.\nAnswer: 933126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -421831 > -421658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gav when three letters picked without replacement from {v: 6, k: 2, a: 1, o: 2, g: 1, h: 7}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7794 is divided by 2325?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16639\/90 + 913\/5. Is p smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111111010 (base 2) in base 7?\nAnswer: -1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 115858110953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1868, -7276, -16278, -28862, -45016, -64728, -87986?\n\"Answer: 2*s**3 - 1809*s**2 + 5*s - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42941639 is divided by 1130043.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 6. Let x be -3*1\/9*o. Is (-6 + 5)\/(x\/41) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -18. Let k = 18 - 29. Let d = 10.96 + k. Which is the nearest to d? (a) 0 (b) q (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22462771, -44925541, -67388309, -89851075, -112313839, -134776601, -157239361?\n\"Answer: a**2 - 22462773*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2247*u - 17253 + 4928 = 86543 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 197, 191, 185?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-160)\/(-28) - 2\/(-7). What is the units digit of ((s\/15)\/(-1))\/((-6)\/7635)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 = -30*v - 56. Suppose -4*t - 3*s - 3 = 0, -v*s - 2 = t - 12*s. Solve -2*p = -q + 13, t*q = p + p + 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + q**5 + 5 + (-23*q**2 - 3*q**3 + 23*q**2)*((-6 + 2 + 1)*(-q + 0*q + 2*q) + 10*q + 1 - 1)*(2*q + 2*q - 2*q).\nAnswer: -41*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*o + 3928, -843 = 3*n + 5*o - 4759. What are the prime factors of n?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.176 + 122.824. Let h = -180 + s. Let t = -56.9999985 - h. What is t rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 2*u**2 - 2*u**2 - 5 - 15*u**2 + 9*u**2 + 4*u**2 + (4 - 4 - u)*(4*u - u - u).\nAnswer: -6*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 6*w**2 - 2*w + 5. List the prime factors of j(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 28*j**5\/23 + 370*j**4\/23 - 1284*j**3\/23 - 518*j**2\/23 + 916*j\/23 - 192\/23 = 0?\nAnswer: -16, -1, 2\/7, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193 + -83. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 122926329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16598*z = -16599*z + 3. Solve z = -2768*w + 2767*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6369 divided by 61?\nAnswer: 6369\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and -4.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. Let k(w) = w**2 + 3*w + 2. Let l(x) be the first derivative of x**3\/3 + 2*x**2 + 3*x - 18. What is m*l(y) - 5*k(y)?\nAnswer: -y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + b = -3*b + 4, -2*b + 14 = -4*i. Let h be i + 5 - -2 - 23. Are h and -25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -104848, -104849, -104850?\n\"Answer: -l - 104847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4154*o**5*v**2 + 356*o**2*v**2 + 7*o**2*v - 3*o*v**2 wrt o?\nAnswer: -249240*o**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*j + 47, -5*j = -2*b - j + 54. Solve -28*q - 9 = -b*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/8)\/(9\/6). Let h = -27.5 - -27. Let q = 0.02 + 0.38. Which is the closest to z? (a) h (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -0.03191?\nAnswer: -0.41483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9175?\nAnswer: 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 times 29922\nAnswer: 56851.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*6\/7. Let l(s) = 2*s - 1. Let c be l(6). Let r be c\/(-5) - (-24)\/8. What is the smallest value in 2\/3, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*d**3 - 69*d**2 + 69*d**2.\nAnswer: -132*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -139737472*-4\nAnswer: 558949888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 2)*(1 - 1 + 3*u)*(6 + 5 - 1) as h*u + z and give h.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*j**2 + 0 + 0*j - j**4 + 1\/5*j**3 + 3\/5*j**5.\nAnswer: j**2*(j - 1)**2*(3*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9250350103 to the nearest 100000.\nAnswer: -9250400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -732.999998141 - -733. Round v to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*r + 6*r - 540435. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, and 1 t when three letters picked without replacement from vfwnnnnnnvfntnnn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3719*c**2\/5 - 6707*c - 576\/5 = 0.\nAnswer: -9, -64\/3719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 55871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, c: 3, j: 2, q: 3, a: 2, r: 1}. What is prob of sequence cqq?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*l + 106*l + 86*l - l**3 - 292*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4 = 33*p - 6, 2*u = -984232*p + 984233*p + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 9) + 12 + 1 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -11. Let r = z - 12. Let u = -4.9999949 - r. Round u to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1470, 5405, 11966, 21153, 32966, 47405?\n\"Answer: 1313*p**2 - 4*p + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -910860, -1821712, -2732564, -3643416, -4554268, -5465120?\n\"Answer: -910852*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2 + 458*z + 2 + (22 + 24 - 38)*(2 - 2*z - 2).\nAnswer: 442*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20163444.7524019 + -20165982.755. Let c = x + 2536.4026. Let r = c + 1.6. Round r to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003038019 rounded to 5 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1)\/(6 + (-1059)\/177). Suppose k = -2*n + a, -k - 3*n + 25 + 35 = 0. Solve 5*s - k + 72 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*o)*(-o - 3*o + 5*o + (0*o + 0*o + o)*(1 - 6 + 3) - 6*o + 7*o + 6*o + 29*o + 1973 - 1973) to a*o + l*o**2 + h and give l.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13780076231101 + 1.5.\nAnswer: 13780076231102.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**6\/40 - o**5\/12 + 2*o**3 + 10*o**2 + 3*o. What is the third derivative of y(z) wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*l - 47 + 455, -2*l + 204 = -4*o. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 + -12.04. What is g rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73\/20 - 13\/4. Let m = 0.037 - -33.963. Let f = -33.9 + m. What is the second biggest value in o, f, 4, -1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 18*s + 412, 4*s + 2*u - 3942 = -4022 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -44 + 14. Let s be -3 + d + 1 + 3. Suppose 0 = 3*z - 0*z - l - s, -l = -z - 1. Solve 0 = q + z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -8*h**2 + 3*h + 1. Let x(m) = -24*m + 4. Let t(w) = 7*k(w) - 5*x(w). Calculate t(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4430?\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + y + 9. Suppose 3*a + 2 = -n + 4, 2*n = -y*a - 2. Let p(q) = q + 1. Let w be p(5). Solve a*j - w = 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = 43 + 29. Calculate the remainder when ((-3776)\/(-56) + a\/14)\/1 is divided by 1 - 22*(-2)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 - (-6 - -5) - 0 and 31.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 4*h + 15 = 0. Let a = 23.02 - -1080.98. Let k = -1101 + a. What is the nearest to h in 0.1, k, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16220, 32439, 48658, 64877, 81096, 97315?\n\"Answer: 16219*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307 = -4*l - u, -2*l - 4*u = u + 149. Let b = -57 - l. What is the tens digit of -43*9\/2*b\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 10*k**2 - 42*k - 18. Let h(j) = j**3 - 11*j**2 + 40*j + 18. Let z(n) = 5*g(n) + 6*h(n). What is the units digit of z(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (9 - (5 + 14 + -12))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 25965*y - 436*y**2 - 25965*y + 40 + 273*y**2 as n + p*y + b*y**2 and give b.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -221 - -294.9. Let x = f + -73. Let k = -0.1 - x. What is the closest to 1 in k, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 2. Let q be o(-6). Let y(u) = 4*u**2 + 6*u - 4. Let l(m) = m**2. Let t(z) = -3*l(z) + y(z). Let g be t(-5). Which is smaller: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -4*a + 12, -4*f + 171*a = 166*a - 52 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 765518000 rounded to the nearest one million?\nAnswer: 766000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + a = -10. Suppose -4*r + 2*r = 4. What is the units digit of (r - -2)\/(-3) + a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3747)\/90 + 2\/15 and -181\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = -140 + 1364. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(176) + -1 - (sqrt(11) - -2*sqrt(33)\/sqrt(3)) - (1*sqrt(99) - (-1*sqrt(396) - sqrt(11))))**2.\nAnswer: 18*sqrt(11) + 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**7\/2520 - t**6\/360 + 203*t**4\/24 + 189*t**2. Let q(h) be the second derivative of j(h). Determine i, given that q(i) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 7*w - 9. Let q be r(6). Let h = 8 + q. Calculate the remainder when h is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -83 (base 15) to base 9\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1820291, -1820290, -1820289, -1820288?\nAnswer: -1820287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(1 - 1 - 2*a) + (7 - 4 + 1)*((3 - 5 + 0)*(-a + 5*a - 2*a) - 7*a + 78*a - 41*a).\nAnswer: 100*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -33*p**3 + 8*p + 5. Let z(h) = 8*h**3 - 2*h - 1. What is 2*s(a) + 9*z(a)?\nAnswer: 6*a**3 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(-5*x + 12*x + 4*x) - 6*x + x + 0*x + (-1 + 5 - 3)*(0*x + 6*x - 4*x) - 2*x + x - 2*x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 13471629.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 618*c - 616.\nAnswer: -2*(c + 1)*(c + 308)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**3\/2 + 7*z. Let o(d) = -8*d. Let t(q) = 5*o(q) + 14*x(q). Let k be t(-3). Which is smaller: k or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114\/7*h**2 - 24\/7*h**4 - 3\/7*h**5 - 12*h - 75\/7*h**3 - 24\/7 = 0. Calculate h.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122 and 3171390.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36 - 0 - (21 + -24). Suppose -l = 4*n - 139. Suppose 2*v - 13 = -3*j, 3*v + 5*j - 13 - 8 = 0. Solve 3*k + v*k + n = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 32617927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42289171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 1:34 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -177, 9 in decreasing order.\nAnswer: 9, 0.4, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8137.365 meters?\nAnswer: 813736.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*x - 3*i, -2*x = 4*i + 3 - 27. Let n(o) = -o**x + 2*o**2 + o**2. Let w(t) be the second derivative of t**4\/3 + 3*t. What is w(n(h))?\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8 = -2*d - s, 0 = -4*d + 5*s - 2. Suppose -w + 33 = d*w. Calculate the least common multiple of w and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/8 - -3 - 48. Is 14 a factor of (-20)\/a*3 - (-3138)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 366424 = -6*h. Suppose 4*g - 2*a = h, -5*a - 4 = -a. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 >= 2668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6864 + -6481. Calculate the remainder when x is divided by 122.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 26, -0.06?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22733 + 22732.992606. Round h to 4 decimal places.\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 2:02 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 8. Let r be j(7). Let w be 1877\/(-165) - r\/(-18). Let h = 152\/15 + w. Find the common denominator of 137\/6 and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**3 + 647820237*o + 5*o**3 - 3*o**3 - 647820243*o.\nAnswer: 14*o**3 - 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2175343 is divided by 362528.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 s when four letters picked without replacement from dssdssddddsddsdsdss.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-147)\/(-7))\/7*20\/(-90)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1981893227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 6*u + 2*u)*(1 - 2 + 5).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338307.\nAnswer: 3, 23, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 - 48. Calculate the remainder when l is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 19 - 16 + 3*m + 1.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.7 + 0.3. Let u = x + -6.8. Let w be -1 - (2 - (-18)\/(-7)). Which is the smallest value? (a) u (b) w (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from kgeeeegggok.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4508\/230 + 11 - 6\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 - 41*q**2 - 2 + 2 in the form l + p*q + c*q**2 and give c.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c = 16*c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-12)\/(-288)*(-2)\/10?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.6 (b) -8 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 3. Let f(u) = -u**3 - 9*u**2 + 10*u + 5. Let l be f(-10). Let m(b) = -b**2 + 10*b - 22. Let g be m(l). Which is smaller: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.41, 3, -2\/11, -3 in descending order.\nAnswer: 3, -2\/11, -0.41, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 7*a - 35 + 46. Solve 2*q + 3 = -2*l + q, 4*l + 3*q + a = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3648 + 202 = 81*h + 680 - 4039 for h.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in years?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 215*y**8\/56 - 117*y**4\/4 - 58*y - 2. What is the third derivative of b(r) wrt r?\nAnswer: 25800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 - -1 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3\/5 - 236*f**2\/5 - 412*f - 980 = 0 for f.\nAnswer: -49, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - (3 - 1 - 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(2\/5)*m*((m**(2\/15)*m)\/m)\/m assuming m is positive.\nAnswer: m**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - 2 - (2 - 10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.26 + -6. Let o = 0.06 - q. What is o rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37678681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*a - 215, 2*f = a + 4*a - 554. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*q - 90, -q - 3*m = 2*q - 141. Let c be q\/7 + 3\/7. Solve 4*j - c - 9 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.85 - 3.95. Which is the nearest to q? (a) 3\/2 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a - 2*a + 21*a**2 - 2*a in the form z*a**2 + n*a + l and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 1 - (-2 - -505 - 2). What is z rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72 minus -0.2256890382?\nAnswer: -0.4943109618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3465, -3371, -3221, -3015, -2753, -2435?\nAnswer: -2061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 10:33 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 10 = -49*s + 384 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -61 - -9?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 10\/57009?\nAnswer: 10\/57009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/738997 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -1.19\nAnswer: -0.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1058679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffv when three letters picked without replacement from qfccv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 138902118317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -465, -1418, -3237, -6210, -10625, -16770, -24933?\nAnswer: -35402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 849*l**2 + 18 + 848*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13905?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1815443 is divided by 453846?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (315\/(-504))\/((-7)\/168)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*a + 76 = -a, a = -5*h + 275. Suppose -h*c - 14770 = -49*c. Round c to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 928 = 2*k + 5*p, 5*p = 4*k - 1886. List the prime factors of k.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 21*u**2 + 9*u + 18. Let g be n(7). Calculate the greatest common divisor of 30 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39572.62 millilitres in litres?\nAnswer: 39.57262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n - 35. Let c be t(-7). Suppose 4*l + 5 - 1 = 4*b, c = -2*l + 3*b. Let m be ((2 - 3)\/l)\/((-10)\/(-60)). Solve -6 = -m*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/2 and -23\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 0.9, 2\/173, -3, 3 in ascending order.\nAnswer: -3, 2\/173, 0.9, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.075351372 to 5 decimal places.\nAnswer: -0.07535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1524 is divided by 77.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 2*j + 45 = 0. Is j at least -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1182\/30 - -5) + (-2)\/5. Sort 1, i, -3.\nAnswer: -3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1569286?\nAnswer: -2\/784643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 1. Let x = 119 + -123. What is the third smallest value in 0.2, x, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 0*s + 3*s + (3 - 3 + s)*(-1 - 2 + 8))*(-32*s + 33*s - 223*s) as h + p*s + m*s**2 and give m.\nAnswer: -2442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 70. Let x = -42 - t. Solve 0*i + 5*i = -g + 14, g = 5*i - x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x. Let s = 1489 + -1486. Let p(r) be the second derivative of -r + 1\/12*r**4 + 0*r**s + 0 + 0*r**2. Give c(p(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-18)\/8)*28\/(1400\/(-15))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 4:26 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-301)\/(-56) + (-27)\/72. Suppose 415 = s*z + 5095. Round z to the nearest 10.\nAnswer: -940","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*z = 56*z - 187*z - 6049 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137097 is divided by 198.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 0*s - 42*s**3 + s.\nAnswer: -42*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (684 - 686 + 2*b**2 + 2*b**3 + b**2)*(-5*b - 7 + 7).\nAnswer: -10*b**4 - 15*b**3 + 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15962 or -8?\nAnswer: 15962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-60)\/102)\/(-10))\/((-926)\/(-857939)).\nAnswer: 109\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 5, -188 in ascending order.\nAnswer: -188, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, 3\/2 in descending order.\nAnswer: 14, 3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/7 + 972*g**2\/7 + 974*g\/7.\nAnswer: -2*g*(g - 487)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 499447 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 divided by -75907?\nAnswer: -206\/75907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 15 = 2*v. Which is the third smallest value? (a) 2 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -191*n - 269 with respect to n.\nAnswer: -191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48662891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t + i = 46, 2*i = -10. Suppose 27*d - t*d = 430. List the prime factors of d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34162 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -6. Suppose 293 = 3*h - t*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 110057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -18.07. Let v = 243409 - 243412. Put n, -6\/7, 2, v in descending order.\nAnswer: 2, n, -6\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -296*n**2. Let k(z) = 1121*z. Give k(t(m)).\nAnswer: -331816*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - ((-2738)\/(-1209))\/2. Let f = h + -2\/93. Let d = -0.4 - 2.6. Put f, d, -1 in descending order.\nAnswer: f, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -446*h + 924. Calculate s(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 9*k**2 + 7*k - 7. Let w be r(-8). Suppose -4*o = w + 3. Let v(h) = -4*h - 1 - 28*h + 17*h + 11*h. Calculate v(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*v - 28, 3*v = 3*w + 25 + 8. Let b(o) = -o**2 - 10*o + 12. What is the remainder when 57 is divided by b(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5 = -11. What is the units digit of (-152 + f)\/(-4) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8259633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3783, 14569, 32591, 57849, 90343, 130073, 177039?\n\"Answer: 3618*g**2 - 68*g + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6109731?\nAnswer: 3, 678859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.973563972 times 0.2\nAnswer: -0.5947127944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oobiiooototoobot. Give prob of picking 1 i and 2 b.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8214 and 439662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 25*a - 13 = -24*a, 0 = -4*f - 3*a + 56 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.014 and -269.\nAnswer: -3.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/5*f**4 + 26*f**3 + 387\/5*f**2 + 0 + 36*f = 0. What is f?\nAnswer: -15, -3, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1079*t = 129*t - 6438 - 2545 - 4317 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6520*i**5 - 2*i**4 + 1875*i - 2.\nAnswer: -130400*i**3 - 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 247*r - 270. Let d be a(-4). Let i = d - -1960. What is the highest common divisor of i and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let i be a(-5). Let m(x) = 63 - 196 + 0*x + 74 + 64 - x. Determine m(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 4\/15, -0.1, 2\/53?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**4 - 6391734*o**3 + 12783477*o**2 - 6391740*o = 0.\nAnswer: -2130580, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w - 6. Let i(s) = s**3 - s**2 - s + 9. Suppose 4*f = 3*f. Let h be i(f). Let n(a) = -1 + 11 + 7*a - 4 + 7. Give h*x(v) + 4*n(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/3)\/(4\/(-9)))\/(38*(-96360)\/133760)\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4469 in -8, -1\/5, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 57*n**2 + n + 3. Let t(p) = 401*p**2 + 6*p + 22. Calculate -15*b(v) + 2*t(v).\nAnswer: -53*v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -52, -191, -422, -739, -1136, -1607, -2146, -2747?\n\"Answer: g**3 - 52*g**2 + 10*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11278*x**3 + 755*x - 1?\nAnswer: -67668*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 8:07 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37038410 to the nearest integer?\nAnswer: 6086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 3, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20112 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8*p*(p*p**(1\/10)*p)\/p)**(-1\/38) assuming p is positive.\nAnswer: p**(-101\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -3. Let b(i) be the third derivative of i**5\/10 + 5*i**4\/12 + 19*i**3\/6 - 58*i**2. What is the remainder when b(t) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - 14*h + 10. Let d(v) = -3*v**2 - 21*v + 15. Let j(o) = -5*d(o) + 8*l(o). Is 11 a factor of j(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c + 3*c**2 + 8*c**2 + 8 - 4*c**2 - c**3 - c. Let h be x(6). Solve -4 - 2 = h*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -5, 4, -628 in decreasing order.\nAnswer: 5, 4, -5, -6, -628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - -8. What is the third derivative of 4*j**2 + 54*j**6 + 3*j**2 - z*j**6 wrt j?\nAnswer: 1080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Let m(d) = -1977*d**2 + 5*d. Give v(m(h)).\nAnswer: 1977*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11214120.\nAnswer: 2, 3, 5, 113, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p + 2. Let j(v) = v**2 - 5*v + 2. Give 5*j(r) - 6*u(r).\nAnswer: 5*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109601754 is divided by 158.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 101588*w**2 - 12371410*w + 377101024.\nAnswer: -2*(w - 50672)*(w - 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(117) - (sqrt(117) + (-2*sqrt(117) - sqrt(117)))) - 1*(-2 + sqrt(117)))**2*3*-6*-2 + 1.\nAnswer: 3024*sqrt(13) + 18613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 1, h: 1, u: 1, i: 2, g: 1}. Give prob of sequence hi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*r - 4*r**2 + 18*r)*(-9*r - 7*r + 5*r + (4*r + r - 4*r)*(-4 - 2 + 4) + r + 3*r - 3*r - 5*r + r + 5*r + (-3 + 3 - r)*(-2 + 3 - 3) + 0*r - r + 0*r).\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1883, 2727, 3567, 4403?\n\"Answer: -2*z**2 + 850*z + 1035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-10) + (-218)\/19620. Which is the nearest to 2\/11? (a) 12 (b) 0 (c) y (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 116*w + 5842. What is s(-153)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.11 and -12897.5.\nAnswer: -12898.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 4*z + 3. Let b be m(-4). Let d be ((-1)\/2 - 0)*0. Find the second derivative of -b*t**4 + 0*t - 2*t + d*t**4 wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33496 and 11376?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22522, -45180, -67848, -90526, -113214?\nAnswer: -135912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2857*u + 11383. Calculate p(4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -6, 2*y - 437 = -4*j - 443 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**4\/4 - 4*g**3\/3 - 156*g**2. Let t(n) = n**3 - 3*n**2 - n - 1. Let o be t(2). Does 14 divide a(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 - 29. Suppose 0 = q - y + 19. Let m = q - -5. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 5*c**4 + c**2)*(-1 - 2 - 1)*(-21 - 41 + 2 - 158).\nAnswer: 4360*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b86 (base 16) in base 3?\nAnswer: -100122222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*w**3 - 386*w**3 - 6 - 12 + 5.\nAnswer: 2*w**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -394*0.4772\nAnswer: -188.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + (58\/(-6))\/(173758\/(-19305) + 9).\nAnswer: 2, 3, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -3 (c) 0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -29*i**3 - 8*i**2 + 8*i + 8. Let g = 7 + 1. Let f(k) = 0*k**2 - 3*k**2 - 10*k**3 + 3*k + 679614 - 679611. Calculate g*f(w) - 3*q(w).\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399986469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 5, -16, -1\/19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28998494 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -3. Let c(i) = -i**2 + 9*i - 10. Let v be c(7). Suppose t*g = 7*x - 2*x + 24, -18 = -2*g + v*x. Solve -2*h + 6 = -0*q - 4*q, 4*q - g*h = -9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 1955520.\nAnswer: 3\/217280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w. Let z(c) be the third derivative of 1\/12*c**5 + 0*c + 0*c**3 + 0 + 0*c**4 + 22*c**2. What is v(z(r))?\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from wbwwbbw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277373753 - 1140.\nAnswer: 277372613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 4 + -6 + (6 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - n + 3. Let i be k(0). Sort -3, -2, i in descending order.\nAnswer: i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 158025 and 292425?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*n - 45 = 0. Suppose n = -4*l + 39. Is l greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6443051 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 3:34 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + i - 1. Let b(k) = -6*k**2 - 7*k + 5. Suppose -g = -59 + 60. Let h(s) = g*b(s) - 5*n(s). Calculate h(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3436833108.\nAnswer: 2, 3, 1901, 150659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + 1. Do -4 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 9 - 4)*(3*n - 3*n - 4*n**2)*(-6 + 1 + 3) in the form a + q*n**2 + j*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 2*x**2 - x - 3. Let y be o(3). Let z be y + (1 - 1\/(-1)). Calculate the greatest common factor of z and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h. Let r(c) be the third derivative of -71*c**5\/10 - 6*c**2 - 28*c. What is r(b(w))?\nAnswer: -426*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65550637059865 + -8.\nAnswer: 65550637059857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.95 - -14.95. Let t = 20.992 + 0.008. Let i = t + -27. Which is the second smallest value? (a) i (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3 + 5182*u**3 - 177*u**2 - 169*u**2 - 3 + 348*u**2 wrt u?\nAnswer: 31092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1047*q - 3 + 2271*q - 1136*q + 3.\nAnswer: 88*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 24) + -3 + -8 + (8 - 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 2:55 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2892670 by -131485.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -11.5. Suppose 0 = w - 5*w - 476. Let h = 122 + w. Which is the second smallest value? (a) j (b) h (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 + k - 3*k**2 - 9 + 7 + 0*k + 0*k - 2*k**2 + (1 + 1 - 5)*(k - k - k**2).\nAnswer: 2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = 2426 - 98335. List the prime factors of n.\nAnswer: 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 6. Let r be (1 + 2)*(1 + 2). What is h(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than -96694036?\nAnswer: -96694044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10465951.12 rounded to the nearest 10000?\nAnswer: 10470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30953.\nAnswer: 13, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 1. Let w(x) = -2*x + x + 7 - 7. What is -2*g(j) - 3*w(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 345 - 27127 = 0. What are the prime factors of o?\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 5*g = 1788. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*l = -2*q - 493*l + 258*l - 16, -l + 44 = -3*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 52*d - 46*d + 98*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npnpnnppppnpn. Give prob of picking 2 n.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1683276 to the nearest integer?\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10279.\nAnswer: 19, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - 343 + 23*p**2 + 343 + ((-4*p + 2*p + p)*(2 + 3 - 3) + 5*p + 29*p - 4*p)*(-p - 4*p + p).\nAnswer: -89*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4043 less than or equal to -4043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/14 (b) 11.6 (c) -5 (d) -1039\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o**2 + 210*o + 1578. Determine p(-17).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1765 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 542 + -541.9. What is the biggest value in 3, 0.2, f, 4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(143) + -4*(sqrt(143) - 1*sqrt(143)))\/(-1*sqrt(539) + sqrt(539) - (sqrt(1331) + sqrt(1331)*1)).\nAnswer: 4*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 1140*l - 135000.\nAnswer: 4*(l - 375)*(l + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**3 + 1772950*g**2\/3 - 4727780*g\/3 + 787960 = 0.\nAnswer: 2\/3, 2, 118194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1)*(3 + 7). Suppose -2*z = -0*z - t. Let k = -8 + 11. Calculate the remainder when z is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1609 + -8092\/5. What is the common denominator of i and -115\/112?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 11) to base 7.\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -472*f**2 + 2171*f + 4349. Calculate h(-2).\nAnswer: -1881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3490725690?\nAnswer: 2, 3, 5, 5479, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzizi. Give prob of sequence zz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7569*r**4 - 956*r**3 - 2*r**2 - r + 19524866?\nAnswer: 181656*r - 5736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 9 = -h, -379*h + 365*h = 2*l - 46 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16532039 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 12 = 2*q. Let p be 2\/5 + q\/(-15). Suppose 0 = -6*y + 13 - 1. Solve -2*n - y*n - 4 = p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z. Let t(a) be the third derivative of -a**7\/630 + a**5\/60 + 3*a**2. Let s(n) be the third derivative of t(n). Calculate 6*c(y) + 5*s(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 143. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014715 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 15. Factor z**2 - z**2 + z**2 + z**p.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6516, -6542, -6568, -6594?\nAnswer: -6620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 4:16 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from upaauuwuuup.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10524*q**2*w**2 + 4143*q**2*w + 56*q**2 - 124*w**4 + 7*w wrt w?\nAnswer: -21048*q**2 - 1488*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 9:30 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j = -2435 + 1709 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -457090 divided by 91418?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**3 + 11*b**2 - 8*b + 13. Let g(o) = 2*o - 4. Let v(s) = -c(s) - 4*g(s). Let i(z) = 2*z**3 + 4*z**2 - 1. Calculate -11*i(f) - 4*v(f).\nAnswer: 2*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 18 = -j - 3*j, 0 = -3*j - 15 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -591, -460, -341, -240, -163, -116, -105?\n\"Answer: -a**3 + 138*a - 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*k + 2*l + 39 + 6, -3*k + 582 = 123*l for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2674 and 966?\nAnswer: 184506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 + 0) - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4*c - 275, 5*s = 3*s - 3*c + 110. Let i = 55 - s. Solve 2*b + i*o - 5*o - 23 = 0, 2*b + 4*o = -4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*w - 0*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.823448 years in months?\nAnswer: 33.881376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - 14 - (-1 - -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103377.02078 rounded to the nearest integer?\nAnswer: 103377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9782052*f**3 - 10130238*f**2 wrt f?\nAnswer: -58692312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1566.06+95\nAnswer: -1471.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-2)\/4*(1080\/495)\/(20\/(-154)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 167532 = -93*a + 1441428. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b5 (base 13) to base 7\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x + 7. Suppose -12 = -4*f - 4*i, -5*f + 43*i = 41*i - 36. Let w(p) = 6*p - 6. What is f*w(g) + 5*t(g)?\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 11*d. Let l be p(9). Suppose 6 - 11 = -5*z. Let j be 1 + z*9\/3. Solve j*s = 2*b - l, 5 = -3*s - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 - -26. Let n = 35219 - 35216. Which is the second biggest value? (a) 3\/7 (b) z (c) n (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.1 (b) 0.55 (c) 60142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1738*y - 3593*y + 250 + 174 = -1802*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -937675 - 10*i + 937675 + 16*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33724, -33299, -32590, -31597, -30320, -28759, -26914?\nAnswer: -24785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-1)\/(-220))\/(16650\/(-8880)).\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.56 - 0.46. Let r = -0.9 - -0.4. What is the third biggest value in 5, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 15 + 5 = 0. Find the third derivative of v*r**2 + 8*r**2 + r**3 + 4*r**2 - 7*r**3 wrt r.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g**3 - 2*g**2 + 2*g - 4. Let n = -3 + -1. Let d be u(n). Let b = d - 345. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -100 - 8 - 3*o**2 - 106 + 116 in the form f + t*o + g*o**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4978, -4980, -4982, -4984, -4986, -4988?\nAnswer: -4990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 5*a - 11*a**2 - 25*a**2 + 44*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*a**5 - 130982*a**4 + 108404132*a**2 wrt a.\nAnswer: 2220*a**2 - 3143568*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -700 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 451627, 1, -4 in decreasing order.\nAnswer: 451627, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 34*-9.7\nAnswer: -329.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3584088, 3584089, 3584090, 3584091, 3584092, 3584093?\nAnswer: 3584094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -322478, -322493, -322528, -322589, -322682?\n\"Answer: -x**3 - 4*x**2 + 4*x - 322477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (805\/460)\/(1\/(-56))*(-96)\/(-96).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (3 + -5)) + (27 + -15 - 8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -38086.\nAnswer: -5\/19043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 - -45. What is the third biggest value in r, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 62. Suppose i + 5*l = 24, -i + l = -6*i + u. Solve 5*r = -4*p + 17, -p = 3*p - i*r + 28 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32780000 to the nearest 1000000.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -14*q**2 - 27*q + 35. Let b(r) = 5*r**2 + 9*r - 12. Let s(p) = 11*b(p) + 4*z(p). Let o be 24\/(-5) + 1\/(-5). What is the tens digit of s(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 + 1 = 0. Let x = 2314 - 2308. Suppose -4*n = -x*j + 5*j + 83, 2*n - 263 = -h*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*b**3 + 11*b**3 + 11*b**4)*(-9*b + 3*b + 0*b)*(8 - 4 + 7 + (0 - 1 + 2)*(3 + 0 - 2)) + 2*b**5 - b**3 + b**3.\nAnswer: -790*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**3 - 3*p**2 + 2*p + 2*p**3 + 0*p**3 + 0*p**3. What is the derivative of a(q) wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - -1) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -916*g = -3030 - 38236 - 18803 - 8631 for g.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 3*g**2 + 4*g + 11. Is x(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1 + 4*y + 3*y**2 - y**2 - 3*y**2. Let j(z) = z**2 - 3*z - 8. Let h(f) = f**2 - 3*f - 7. Let t(p) = 7*h(p) - 6*j(p). Give -4*l(n) - 6*t(n).\nAnswer: -2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55572 and 118075344?\nAnswer: 5052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a. Let d be g(2). Let y be (-20*12\/8)\/d. Let l = -10 + y. Solve 0 = 5*m + 4*o - 3 - 11, 0 = 5*o - l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13671592 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*o**3 - 124*o**2 - 2201?\nAnswer: 12*o**2 - 248*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13836867 to the power of 1\/3, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (55*t + 406 + 389 - 784)*(0*t + 0*t + 2*t) as p*t**2 + j*t + x and give p.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.249 times 135\nAnswer: -33.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4765, -18966, -42601, -75670, -118173?\nAnswer: -170110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 - -2021002020111121?\nAnswer: 2021002020112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000529452 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 13708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137900 and 28700.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*z**2 - 375?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 34155.369s?\nAnswer: 9.4876025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280391.\nAnswer: 199, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l - 243 - 11*l + 82 + 6*l - 405 as f*l + r and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71*(-1)\/(-3)*-1 and (-158)\/(-112) + (-4)\/14?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zszzzzzzzzzz. Give prob of picking 1 z and 1 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -144, -203, -254, -297?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6728 divided by -232\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120104 (base 6) in base 4?\nAnswer: -31323220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 times -0.6\nAnswer: -0.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1392 - 2646. What is the remainder when 113 is divided by ((-2)\/6)\/(22\/w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318356088 to the power of 1\/3, to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 11 = -2*f - 3*o, 0 = 5*f - 5*o - 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5516*q**2*w**2 + 935*q**2*w - 1264*q*w**2 - 5*q*w + 2*q + 2*w + 8 wrt w.\nAnswer: -11032*q**2 - 2528*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31, -342, -1195, -2860, -5607?\n\"Answer: -45*l**3 - l**2 + 7*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 935373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -7*w**4\/24 - w**3\/3 - 44*w**2. Let d(y) = -y**2. Calculate d(r(t)).\nAnswer: -49*t**2 - 28*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*j - 3361*j**3 + 3*j**2 + 4337*j**3 - 3*j**2 - 117*j.\nAnswer: 976*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**5 + 16*z**4 + 40*z**3 + 4*z**2 - 38*z - 20.\nAnswer: -2*(z - 10)*(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, -13, 3, -0.4, 17\/6 in decreasing order.\nAnswer: 17, 3, 17\/6, 1, -0.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + x - 2*x + (-6 + 6 - 13*x)*(-3 - 1 + 0)*(0 - 2 + 0).\nAnswer: -105*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700825986?\nAnswer: 2, 3, 7, 17, 191, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 1\/(-2)*0. Suppose -n*q - 2*q = -48. What is the remainder when 106 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s + 152 = -12*s + 16. Which is the third smallest value? (a) -5\/17 (b) -3 (c) 2\/5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + (sqrt(2) - (4 + sqrt(4)\/sqrt(2)))) + 4)**2.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = u - 3. Let r(l) = l**2 - 8*l - 7. Let x be r(u). Calculate the remainder when (528\/36)\/(x\/6) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, -12\/61, 5 in decreasing order.\nAnswer: 5, -12\/61, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 7) + (6 - (-5 + (-4 - -24)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 6 = -4*o. Suppose 2*y = -2 + o. Suppose 0 = y*k - 23 - 9. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 128146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 481 = 5*p - 491, -3*w = -3*p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3157 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -5*u**7\/21 - 91*u**4\/24 + 14*u**2 + 3. What is the second derivative of b(n) wrt n?\nAnswer: -600*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1217856846 to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 + 60. Suppose 5*r + 25 + 155 = 0. Let b = r - n. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 78086*j + 312333. Calculate m(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 41\/6 - 10\/(-60). Is g less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.01343 and -7.2.\nAnswer: -7.21343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 1. Suppose 0 = -0*m + 5*m - 20. Suppose -m*g + g = 36. Let v(h) = 20*h. Let y(u) = g*p(u) + v(u). What is the first derivative of y(l) wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(6)\/sqrt(3))**2*3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 523477000 rounded to the nearest 1000000?\nAnswer: 523000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + o = -m + 9, 4*m - 32 = -3*o. Solve 0 = 3*s - 5*q - m, 4*s + q + 28 = -q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154328803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/3)*n)\/n)\/n)**(-11)\/(n**(2\/3)\/n**(1\/3)) assuming n is positive.\nAnswer: n**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.17 + 0.67. Let h be 12\/3 + 15\/(-4). Which is the nearest to 1? (a) -1 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.366 + -2.926. What is the nearest to -2\/5 in -3, t, 2\/5, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a decade in years?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 61*r - 66*r. Solve r = -4*v - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -2*t**7\/105 - 2*t**6\/25 + 2*t**5\/25 + 2*t**4\/5 - 2*t**3\/15 - 6*t**2\/5 - 22*t. Find g, given that x(g) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10400)\/(-600)*(-2)\/(-8)*6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 27 = -3*d, 5*d - 2*j = d + 36. Suppose -7 = -w + d. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7695 + -7477. Calculate the remainder when b is divided by 111.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 + 21415416*x\/7 - 57327505306632\/7.\nAnswer: -2*(x - 5353854)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000207100095 rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + (sqrt(170) + (sqrt(170) - (sqrt(170) - (4*sqrt(170)*-1 + sqrt(170)) - sqrt(170)) - sqrt(170)) - 1*sqrt(170)*4)\/(-6*sqrt(250)*-2 + sqrt(250))).\nAnswer: 36*sqrt(17)\/65 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2. Let q(c) = c - 251. Calculate q(p(s)).\nAnswer: 2*s**2 - 251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19029 is divided by 761.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3212 times -3.2?\nAnswer: 10278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-43))\/(((-3)\/(-1))\/(242\/242))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 510439?\nAnswer: 25521.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1 = 3. Let f(s) = 4*s - 3*s**3 + 5 + 6*s**2 + 4*s**3 - p - 2. Suppose -2*t + 4*t + 10 = 0. Give f(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*15\/50)\/((-1)\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 63*k**2 - k. Let l be t(1). Let m be 5 - ((39\/15 - 3) + 3336\/(-60)). Is l at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1800 divided by -70031\nAnswer: 1800\/70031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4598 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.005 + -0.005. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n = -5*v - 3, 4*n = -4*v - 8. Which is the nearest to 1? (a) -5 (b) v (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7}. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 0. Let i = s + -5. Which is the third biggest value? (a) 1 (b) -5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(1\/3)))\/x**(1\/9))**(7\/4)*((x*x*(x*x\/(x\/((x*(x*x*(x*x**(-3\/5)*x)\/x*x*x)\/x)\/x))*x)\/x)\/x**3)\/(x**(-4)*(x\/x**(3\/5))\/x) assuming x is positive.\nAnswer: x**(323\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27639187 or -138195934\/5?\nAnswer: -138195934\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + -10)\/((-3)\/2). Suppose 4 = w - f. Suppose 34 = 5*k - 2*l, 5*l - w - 1 = k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*f - 12, -3*b - 2*b - 2*f = -12. Suppose 3*o = b*y - 53, 6*y = y - 3*o + 46. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 3f4?\nAnswer: -3f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 535 divide 3242780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1765\/3538 + -2\/1769. What is the closest to 3\/2 in 0, d, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1539) + -5 + -1 + -5 + sqrt(1539))*5)**2.\nAnswer: -12600*sqrt(19) + 158800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -225?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -106? (a) -0.5 (b) 2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2. Let n(l) = 7 - 6 + 2 + 0*l**2 - l**2 + 3. What is n(w(k))?\nAnswer: -k**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -12. Let t = 208 + -193. Suppose -2*g - 15 = 3*v - 8*v, 5*v - g = t. Solve 5*c + 5*l - 2 + 7 = 0, v*l + h = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-410)\/(-90) + -5)*((-1078)\/212 - -5).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1001111?\nAnswer: 1001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -542582.2 rounded to the nearest one hundred?\nAnswer: -542600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -672, -1172, -1670, -2166, -2660, -3152?\nAnswer: -3642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 9*d**4\/4 - 2*d**3\/3 - 3*d**2\/2 + 3*d + 4. Is 9 a factor of c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 3*c + 3*c)*(-142 - 2*c**2 - 86 - 2*c - 53).\nAnswer: 4*c**3 + 4*c**2 + 562*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6064489.\nAnswer: 6064489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(8\/12) - -71?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 20*x**3 + 2924*x**2 + 40684*x + 37908. Let z(i) = 3*i**3 + 450*i**2 + 6259*i + 5832. Let k(y) = -5*r(y) + 32*z(y). Suppose k(j) = 0. What is j?\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 - (-35 - (15 - (42 - 29))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -6\/15595 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4689661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1093 in 0.2, 2, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 2*n + 6*n - 13, 2 = 5*g - n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4\/5 - 454407*n**3 + 430179722778*n**2\/5 - 430172906688*n\/5 - 860354901504\/5 = 0.\nAnswer: -1, 2, 378672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyxbmxbxxmybxxm. What is prob of sequence xyb?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.88 - -8.8. Let d = z - 0.91999957. Round d to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 169 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/21)\/(285\/399)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6958.177g in kilograms?\nAnswer: 6.958177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:34 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11538*j + 4*j**2 + 3*j**2 + 11538*j.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-2))\/(-4 - -2). Let o(r) = 2*r**2 - 2*r + 1. Let h be o(z). Is h > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 23. Let x(n) = -n**2 - 6*n + 2. Let k be x(-6). Solve -k*d - 2 = -g*t, 2 = 3*t + d + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68078 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-315) - (-3)\/(-7)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21384672.\nAnswer: 2, 3, 337, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/2 + 5 + (-1 - 6). Let n be (-2)\/((-6)\/(-4) + -2). Let l = n + 1. Sort f, -4, l in descending order.\nAnswer: l, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31522404 (base 6) in base 11?\nAnswer: -584676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 368 = -58. Let z = -467 - -656. Let b = z - r. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141268.\nAnswer: 2, 35317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13359 + 13364. Solve -3*h - 5 = y*u, -3*u - 18 = 4*h - 2*u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 13*c - 13. Suppose -4*g + 7*g - g = 32. Determine h(g).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3938688 by -789.\nAnswer: -4992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-3\/4)*f)\/f*f**(-1\/5))\/(f**(1\/5)\/f**(-4)))**(9\/2) assuming f is positive.\nAnswer: f**(-927\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 7517\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*p**3 + 75275*p**2 + 1215759*p?\nAnswer: -54*p + 150550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a centimeter?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4 - 168*n**3 + 2736*n**2 - 13824*n = 0. What is n?\nAnswer: 0, 12, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -16. Suppose 5*x - 3*o = 68, 3*x - 4*o = -0*x + 32. Let y be ((-3)\/(-9))\/(x\/(-36)). Sort y, j, -1 in increasing order.\nAnswer: -1, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 9*m**2\/2 - 22*m - 38. What is the units digit of x(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 30\/11227, -0.3.\nAnswer: -3, -0.3, 30\/11227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2034 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 406*b**3*m**3 - 216*b**3*m**2*r**2 + 2281*b*m**3*r**2 - 11*b*m**2*r + 2*m**3*r wrt r.\nAnswer: -432*b**3*m**2 + 4562*b*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 112 - 128 = -r, 0 = -5*f + 4*r + 321. What is the remainder when 95 is divided by f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.597127 years to months.\nAnswer: 115.165524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 3:03 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 108, 103, 94, 81?\n\"Answer: -2*j**2 + j + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40355 - 40355 + 831*k + k**2 to the form t*k**2 + z + b*k and give b.\nAnswer: 831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a week in hours?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {t: 6, z: 4, w: 1}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 2:55 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/4231 + 4235\/8462. Let -i*m**2 - 2*m - 2 = 0. Calculate m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1480 and 88985.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -524075, -524114, -524153, -524192, -524231, -524270?\n\"Answer: -39*c - 524036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51378159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*d + 10*d - 12*d)*(-4*d**4 + 4*d**4 + d**4) - d**5 + d**5 + 2*d**5.\nAnswer: 15*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2128904 - -388004. What is q rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1644*w - 35399. Give y(21).\nAnswer: -875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 283514499 and 5022?\nAnswer: 2511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**4*o + 397*j**4 + 3*j**3*o**2 - 6*j**3 + 14*j**2*o - 2*j*o**2 - 26*j*o - 56*o wrt j.\nAnswer: 24*j*o + 9528*j + 18*o**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -456*o - 1797. Give y(3).\nAnswer: -3165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**7\/840 + 5*t**4\/6 + 3*t. Let r(b) be the third derivative of h(b). Let d(c) = 3*c**2. Calculate r(d(f)).\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 3:41 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60358 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -3. Suppose -2*u = -8*u + 12. Let w = -3 - -6. What is the nearest to n in u, w, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(14\/(84\/(-10)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-1\/16)*u))\/u**5 assuming u is positive.\nAnswer: u**(-79\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-28)\/105)\/(2\/(-3)*12\/60). Let u(o) be the first derivative of 0*o**2 - 31\/3*o**3 - w + 0*o. Let z(a) = 2*a**2. Determine u(z(p)).\nAnswer: -124*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x - 4. Suppose 2*c - 5*r = -33, -3*r - x = -c - 19. Let q be ((-1)\/2)\/((-7)\/c). Is 1\/4 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(130) - sqrt(130)*3)*-1)\/(sqrt(70)\/(2*sqrt(7)) + sqrt(10) + -2*sqrt(10)*3).\nAnswer: -16*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 1 - 1)*(-4010 + 10626 + 700).\nAnswer: 7316*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 14 + 6 - 3*j**2 as w*j**2 + c*j + y and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 12*c**2 - 72*c + 72. Let x(m) = m + 1. Let j(l) = 6*l + 4. Let p(d) = j(d) - 5*x(d). Let h(v) = 72*p(v) + z(v). Let t(r) = -r**2. Give t(h(n)).\nAnswer: -144*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11430 and 4050?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1.284 (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) 20 (b) 7 (c) -0.4 (d) -0.3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62810 + 88550. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (58 - 2)*(14\/(-16) + (-159)\/(-424))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + sqrt(24)\/(sqrt(8) - -2*sqrt(8))*6).\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -6 + (15 + 19 - -88 - 19)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12731.21 meters to kilometers.\nAnswer: 12.73121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 332772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 1. What is the units digit of ((-805)\/(-50) + (-6)\/10)*w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaaxxxxxaaaaaaabax. Give prob of sequence baaa.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92928 and 36.\nAnswer: 278784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*x**3 + 38*x + 21*x**3 + 12*x**3 to r*x + j + b*x**3 + t*x**2 and give r.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136 and 204?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 10*q - 6*q = 78, 2*q = 3*t - 60. Suppose 12*m + 20 = t*m. Let w(p) = -p**2 + 2*p - 2. Determine w(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -125\nAnswer: -3\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 859601\/27 - 31836. Calculate the common denominator of 10\/4053 and c.\nAnswer: 36477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*v**3 - 33925854*v + 602225180 wrt v.\nAnswer: -12*v**2 - 33925854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 15 = 5*s, -5*h + 5*s = 4*s - 30. Suppose h*r - 2*g = 3*g + 75, 0 = 5*g + 20. Let z = r + -3. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11820504, 11820508, 11820524, 11820558, 11820616, 11820704?\nAnswer: 11820828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8081 - 7871. Let s(q) = -34*q - 3. What is the remainder when c is divided by s(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.16, 3, -1.3?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-24)*(-84)\/(-63)*(-6)\/(-8)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (2 + -8 + 10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, a: 10, o: 2}. What is prob of picking 2 v and 1 o?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-5*((-1*(1 + sqrt(1088)) - sqrt(1088)) + sqrt(1088)*-2*6) + 5)*5)**2.\nAnswer: 280000*sqrt(17) + 533120625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7954 times 1.95?\nAnswer: -1.55103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 10*s**5 - 2*s**4 - s**3 - 3*s**2 - 2*s - 4. Let q(x) = -x**4 + 2*x**2 - x + 1. Let u(y) = -l(y) + 2*q(y). What is the third derivative of u(j) wrt j?\nAnswer: -600*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126 + -132. Let o(k) = -k**3 - 6*k**2 + 2*k + 14. Let n be o(-6). What is the nearest to 0 in 2\/11, n, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 t when three letters picked without replacement from jtssx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -9. Suppose -2*h = o*h. Suppose -9*i = -4*i - 15. Solve 0 = -h*v - i*v - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1211\/12, 2, -8\/37, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6044816 to the nearest integer?\nAnswer: 2459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 + -10?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1674 - -1675.5. Which is the second smallest value? (a) 0.3 (b) 0.5 (c) n (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/52 and (-5)\/50*16060\/(-7656)?\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-4\/21)*x)\/x*x\/((x**(1\/12)*x*x*x)\/x)*(x\/(x**(3\/2)\/x))\/x*(((x*x**(-7\/5))\/x)\/x)\/x)**(-3\/7) assuming x is positive.\nAnswer: x**(1753\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2*(-12)\/18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*k - 33 + 112, -4*f + 35 = k. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-7 + 145\/10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122 - 624*i + 626*i - 46)*(3 - 6*i + 2*i + 2*i).\nAnswer: -4*i**2 + 342*i - 504","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7162 + 42857\/6. Let g = 2\/3269 + -124244\/35959. What is the common denominator of g and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*u - 0*u - 4*l, 10 = 4*u - 5*l. Suppose -a - 3*m = -5*a + 14, 3*m = 5*a - 19. Solve u = 4*z - 12, -a*b + 3*z + 0 = 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -5 (b) -3\/2 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a meter in millimeters?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jklhwxlxxllllwxlx. Give prob of sequence jlk.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -202, -4, 7952 in decreasing order.\nAnswer: 7952, -4, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 864653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44893003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.243646 and 2.\nAnswer: 1.756354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1051716 (base 8) to base 3\nAnswer: 112102000122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 660 and 5860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -22. Solve x = 4*v - 3, 7 = 4*x - 4*v - h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 3) + 1 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -948 + 1032. What is the lowest common multiple of a and 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-2 - -7) + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 834282730 or 834282732?\nAnswer: 834282730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/2))\/(k\/((k**(-3)*k)\/k*k))*k**(3\/5)\/(((k\/(k**(-2\/3)\/k*k))\/k)\/k*k))**(2\/47) assuming k is positive.\nAnswer: k**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3*7\/(-63)*20\/(220\/429)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -184.687?\nAnswer: 738.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 328\/(-12)*(-3)\/2. Suppose 4*j - f = 24, -3*f + m = 5*j - 7*f. Suppose 0 = -s - j*a, s - 5*a = -27 + 67. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70333545?\nAnswer: 3, 5, 4688903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 17. Let d(b) = -b - 4. Let m be d(-6). Is c*(-13 + m)*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 24849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6406035.5877 - 2822.\nAnswer: -6408857.5877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e + b?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.601 in 1, -0.2, 0.5, -6\/7, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-9) + 6\/(-27). Suppose -2*u - 10 = i, 2*u + 16 = -t - t. Let q(k) = -8*k - 2. Is 11 a factor of q(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 1:53 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113\/4, -2\/11, 2, -2, -0.036 in descending order.\nAnswer: 113\/4, 2, -0.036, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven sevenths of a week in minutes?\nAnswer: 82080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552 >= 2559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from uuuuuusuuuuuu.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/35 or -1?\nAnswer: -36\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20829 + -17334. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10 + 35\/75\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r + 5. Let t be u(-2). Sort -2, 9, t in decreasing order.\nAnswer: 9, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13423806 divided by -341.\nAnswer: -39366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/((3*sqrt(18))\/sqrt(2)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.32 - -26.08. Let h = m + -29.3. Let n = -5 + 3. Which is the nearest to h? (a) -3 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 + 13 - 11)*(-161*k + 226*k + 121*k)*(1 - 3 + 1) in the form w + u*k and give u.\nAnswer: -6510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 14*l - 9*l = 4236, l + 4 = 0. Does 57 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1637423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556074 = 8*i - 24*i + 4067290. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9247?\nAnswer: 7, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d997 + -2?\nAnswer: 3d995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-5))\/((-2)\/(-3)). Let d = o - -8. Suppose -2*n - d + 13 = 0. Solve -n*a + 12 = -0*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 2. Let b(f) be the first derivative of 3*f**2 - 11*f + 2. Let p(t) = 4*t + 0*t**2 + 0 - t**2 - 1. Let y be p(5). Give y*b(n) + 34*j(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5\/4 (b) -4 (c) 0 (d) -5 (e) -1.005 (f) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-four fifths of a centimeter?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17721 and 508539.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 4\/3*o**3 - 3*o + 1\/4*o**4 - 2*o**2 + 165. Give t(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8083056.\nAnswer: 2, 3, 19, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 10*c**2 + 26. Calculate the remainder when y(8) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 55*d**2 - 38*d + 1044. Determine z(-56).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1700) + -3 - (sqrt(1700)*-2 + -4)) + -1 + (sqrt(1700) + sqrt(1700) + 1 + -3 - 3*2*sqrt(1700)))**2.\nAnswer: 120*sqrt(17) + 15304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 37279. Let x(z) = -z + 11. Give -r(j) + 3389*x(j).\nAnswer: -3389*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and (-1)\/6 - 165\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -125*k + 0 + 7\/2*k**6 + 1\/2*k**2 - 9\/2*k**3 + 0*k**5 - 1\/12*k**4. Find the second derivative of n(z) wrt z.\nAnswer: 1260*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -171, -158, -131, -84, -11, 94, 237, 424?\n\"Answer: h**3 + h**2 + 3*h - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**4\/5 - 192507*l**3\/5 - 58997406*l**2\/5 + 238299612*l\/5 - 239069592\/5 = 0.\nAnswer: -309, 2, 64474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 5, p: 1, n: 3, r: 1}. What is prob of picking 1 a and 1 r?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 2*i + 4*i**3 + 0*i**3 - 5*i in the form o*i**3 + l*i**2 + a + g*i and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 151 - 176 = -9*p, 2*p = 6*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 22, 6, 10, -15\/8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k - 1. Suppose -3*d = 2*b - 5, 0 = 5*b - 3*d - 3 + 1. What is the units digit of y(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-9 - 20) - 11 - (-14 + (-5 - 0)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -2*v - 7*v**2 + 1\/6*v**4 - 2 + 2*v**3. Find w such that s(w) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-47)\/(-94)*6\/(-21). What is the third smallest value in 1, -4, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2397, -2451, -2495, -2529, -2553, -2567, -2571?\n\"Answer: 5*v**2 - 69*v - 2333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17846 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -227 - -2495\/11. Suppose -5*g - 3*s + 15 = 0, 5 = -4*g + 4*s - 3*s. Which is bigger: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167365 - 2*u**2 - 169207 + 16*u**2.\nAnswer: 14*u**2 - 1842","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6773 is divided by 121?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**5\/2 - 36*c**4 + 531*c**3\/2 - 483*c**2 - 990*c + 2700 = 0.\nAnswer: -2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*o + 5*o**4 + 5*o + 3*o**5 + 2*o**2 + 30 - 32 wrt o?\nAnswer: 180*o**2 + 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 0*c + 4*c - 3*c. Let g(s) be the first derivative of -s**2 - 131691. Give i(g(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34735 + 1229635.3413?\nAnswer: 1264370.3413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*n**3 + 36*n**3 + 3 - 2 + (0*n**3 + 0*n**3 - 2*n**3)*(1 + 2 - 1 + (0 + 3 - 5)*(3 + 0 - 2) + 5 - 3 - 4).\nAnswer: 10*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**2 + 228*a - 1608. Determine y(8).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert c5 (base 15) to base 6.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -560665 != -560664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24026310 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*3\/15*2. Let r be -4 - (-12)\/l - 5. Let v(h) = 3*h + 6. Determine v(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 225*u**3\/7 + 60*u**2 - 1524*u\/7 - 432\/7 = 0. What is u?\nAnswer: -18\/5, -4\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/26399593 or 0?\nAnswer: 4\/26399593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5382 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000396776 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 23*w + 41. Calculate p(22).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(sqrt(684) + -1 + sqrt(684) - sqrt(684))*-2 + (sqrt(684)*-1*-4 + sqrt(684) + 5*(sqrt(684) + 1 + sqrt(684)))**2.\nAnswer: 828*sqrt(19) + 153934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.110425461 to four decimal places.\nAnswer: -8.1104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 - 1549*f - 40472. What is c(-25)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*t**2 + 18131785 - 18131785.\nAnswer: 111*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 + 18. Let s(b) = 5499*b**2. What is h(s(k))?\nAnswer: 181434006*k**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 45*j + 35 = -44*j, -2*j + 4 = 0. Solve 13 = -n - 4*s, 3*n + 2*s + 3*s + f = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 - 69*q + 81 - 18*q.\nAnswer: -87*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 14*k + 67032 = -17*k, 0 = -j - 5*k + 22320. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 412572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -221 - -0.020929\nAnswer: -220.979071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o - 64. Suppose y - 9 = o. Solve -2*t = 3*t + y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12918 is divided by 859?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*b + 5, 0 = -3*s + 5*b + 2 + 2. Suppose s*c = 208 + 230. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t - 2*t + 2*t)*(3*t - t + t)*(-6 + 6 + t).\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + r + 0*r + 18 + 15 in the form l + w*r and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/24 and 11\/236.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 27, 2, 0.4, 1, 2\/17, 43, 24?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2992601, 2992695, 2992789, 2992883, 2992977, 2993071?\n\"Answer: 94*c + 2992507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + w = -71, 2*w + 2 = -4. Let d = -17 - o. Suppose 3*m - 4*q + 3*q + 12 = d, 5*m + 20 = -4*q. Put 2, m, 1 in ascending order.\nAnswer: m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 2548146, -11.\nAnswer: -11, -5, 0, 2548146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzllffilfif. What is prob of picking 2 f?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 291 * -49.7986\nAnswer: -14491.3926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 39*c**2 + 75*c - 41. Suppose -4*h - 168 = -4*j, 4*j - h = -0*j + 153. Let v be s(j). Put 2, 133, v in ascending order.\nAnswer: v, 2, 133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 10:15 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111.9 + -111.8. Put 1\/40, 0.5, m, 5 in ascending order.\nAnswer: 1\/40, m, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40259355?\nAnswer: 3, 5, 509, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 89 = -4*l. Suppose 52 = -2*p + 6*p + 3*d, 3*p - l = 5*d. Suppose -5*t + 4*t + p = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 6*l - 6. Let v be u(-4). Let n(h) = h**v - 4*h**2 + 2*h**2 - 3*h**2. Let c(m) = -m. What is c(n(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(117) + sqrt(117))**2 + -5*(sqrt(1573) + 0)**2.\nAnswer: -6808 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.03 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by (-238)\/35*(-10)\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -8\/3*a**2 - 2\/3*a**3 + 1\/3*a**4 + 0 + 0*a = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, 5, 1, 3 in increasing order.\nAnswer: -3, -0.1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3260 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -3*c + 22, 460*c - 2*i + 2 = 465*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 1328 - 10988 = 0. Suppose -74 = 4*m + u - i, 4*m + 2*u = 612. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -10186*d + 71708. Calculate k(7).\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 97*o + 338. Is 10 a factor of b(48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + i + 44 = -3*i, -45 = -5*x + 3*i. Suppose -x*r = -2*r - 28. What is the remainder when 46 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 83?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -459, -1945, -4421, -7887, -12343?\n\"Answer: -495*b**2 - b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1794 + 7415 = 2*q, -13812 = -3*q - 5*o. List the prime factors of q.\nAnswer: 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 10431, -0.06, 1\/3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21860*x - 7289*x + 33*x**2 - 7289*x - 7282*x - 148*x**2.\nAnswer: -115*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18257*f**4 - 7558*f**2 - f.\nAnswer: -438168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(153) + -1 + sqrt(153))*-2 + (0 + sqrt(153)*1)**2 + -2*sqrt(153)*-1.\nAnswer: -6*sqrt(17) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 633601999*u**3 - 277580512*u wrt u?\nAnswer: 3801611994*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 - -27. Let d = 84 - o. Solve d*x = 3*x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*z - 53*z + 238 = 0. Let c(t) = -t - 19. What is c(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*p + 41 + 67 = -41. Solve 2*j = -4*z - 2, 11*j = 5*z + 10*j - p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujx when three letters picked without replacement from {x: 2, j: 2, u: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 631.9059 millilitres in litres?\nAnswer: 0.6319059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 d, and 1 w when three letters picked without replacement from wdadadwzad?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6835064 hours to microseconds.\nAnswer: 2460623040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/6 - 23941*i + 1719514443\/2.\nAnswer: (i - 71823)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**2\/7 + 53767643*n\/7 - 107535290\/7 = 0?\nAnswer: -53767645, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -30 and -20 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74*a**2*j**3 + a**2 + a*j**2 - 4*a wrt j.\nAnswer: -444*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 12. Give w(-33).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10255252 + 6?\nAnswer: 10255261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 7 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -114*a**2 + 292*a**2 + 132*a**2 + (-1 - 3 + 0)*(0*a**2 - 1 - a**2 + 0*a**2).\nAnswer: 314*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaljajljaaojajljl. What is prob of picking 2 j and 1 o?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 13*j - 28, 4*i - 25689 = -j - 25708 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 9*j**4\/8 + 9*j**3\/2 - 457*j**2. Determine n(-6).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18441386267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/5)\/(1\/5). Let n = m + -6. Let t(s) = -3*s**2 - 2*s + 2. Let r(o) be the first derivative of -4*o**3\/3 - 3*o**2\/2 + 3*o - 2. Give n*r(k) - 3*t(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + t - 9*v - 21 = 0, 2*t = -3*v + 106 - 108 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 2. Let l be a(-4). Let g = 2 - l. What is the closest to g in 0.5, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-60) + -1*39\/4. Let w be (-426)\/a - 24\/40. Suppose 4*c - w = -s + 221, 4*s - 4*c = 1052. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 310*o - 24025.\nAnswer: -(o + 155)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 242904 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -7, 6, 20 in increasing order.\nAnswer: -7, -4, 0, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 45*u**2 - 2. Suppose 54 = 4*i + 10. Let y(k) = -i*k + 10*k - k. What is y(j(l))?\nAnswer: -90*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.62876 millilitres to litres.\nAnswer: 0.03462876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1932 + -1933. What is the smallest value in -20, w, 2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.4 (c) 4 (d) 1\/3 (e) -388236\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1167*u**2\/8 - 1257*u\/8 - 45\/4.\nAnswer: -3*(u + 1)*(389*u + 30)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 947618 and 2396.\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**6\/720 - c**4\/12 + c**3\/3 - 7*c. Let g(o) be the second derivative of r(o). Solve g(k) = 0 for k.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-29584)\/(-559) + -53 - (-14)\/13 and 1 + (-118)\/(-2*1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 10)\/(4\/((-16)\/(-6)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246461, -492946, -739435, -985928, -1232425?\nAnswer: -1478926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**5\/5 + j**3\/3 - 13*j**2. Let p(l) = -35*l**2 + 7. Let d(q) = 2*p(q) - 7*w(q). Let m(u) = -5*u**2. Calculate m(d(i)).\nAnswer: -980*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g + 197 + 52 = 67 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2828085594 to 3 decimal places.\nAnswer: -0.283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-57)\/(-9) + -1)*(-36)\/(-16). Let q(i) = -2*i + 29. Is q(m) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -57755777 + 1?\nAnswer: -57755776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*f - 5 + 155*f**4 + 12*f**2 + 5 + 0*f - 13*f**2 wrt f?\nAnswer: 3720*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.45 - 0.03. Let u = -0.480314 - m. What is u rounded to 5 dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + sqrt(130) + sqrt(130)*1*-3 - sqrt(130))\/(sqrt(10) - sqrt(10)*1*-2).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*l + 5*l - 564, b = 3*l - 564. Does 47 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (479998 - -1) + (-4)\/(-4). What is t rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-7)*756\/216.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/55)\/((-14)\/35). Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 q, and 1 h when three letters picked without replacement from {p: 1, h: 4, i: 2, q: 3, r: 1, u: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**4\/4 - 3*a**3 + 5*a**2 + 5*a + 3. Let f be d(8). Let c be 1\/(14\/f) - 6\/4. Solve c = -w - 2*t - 3, t - 25 = -w + 6*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4142000205?\nAnswer: 3, 5, 7, 1123, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3343057791?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1201095 and 232470?\nAnswer: 7206570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -627 - -438. Is -177 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -21*p**5 + 855*p**4 + 1728*p**3 - 24948*p**2 = 0.\nAnswer: -6, 0, 33\/7, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316\/8554*715\/(-418)?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 1. Let k(v) = 5*v - 3. Suppose 3*n - 34 + 9 = -5*x, -2*n + 5*x = 0. Suppose 0 = -6*i - 1 - n. Let g be i + 4 + -3 + 1. Calculate g*p(a) - k(a).\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2017040 (base 8) in base 3?\nAnswer: -1000000202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.277 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*g = -41*g - 430. Solve 0 = 4*v - y - 9, -g*y + 16 + 11 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 4091.8562647\nAnswer: 4091.5562647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(108)*-1 - (-1 + sqrt(1728))))*1)**2.\nAnswer: 180*sqrt(3) + 2709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/(390\/4290)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/240070257 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**5\/60 + 7*a**3\/3 - 8*a**2. Find the first derivative of q(b) wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*f + 84 + 53, 2*k + 41 = f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/248 and 23\/12605530?\nAnswer: 50422120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdbubbbbuayubuua. Give prob of sequence bdab.\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1836 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1203.1, -0.3, 1\/33 in ascending order.\nAnswer: -1203.1, -0.3, 1\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b + 5*i + 179, 2*b - 97 = i. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -147 - 40710?\nAnswer: -40857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**4 - 123*p**3 + 237*p**2 - 117*p = 0. What is p?\nAnswer: 0, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 15. Suppose 0 = -5*j + 2 + 8. Suppose 4*n + c = -0*c + 51, -28 = -2*n + j*c. What is the remainder when v(-9) is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c + 30*c + 30*c - 85*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*d + 3*y, 0 = 20*y - 15*y - 5. Let t(z) = 12*z - 26. Let w(a) = -5*a + 14. Let q(x) = d*t(x) - 5*w(x). Calculate q(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -664 + 1535. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 170746041*q**3 + 123402664 wrt q.\nAnswer: 512238123*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67415 divided by -5?\nAnswer: -13483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 40341330 (base 5) to base 2\nAnswer: 1001111001111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**7\/294 + 13*u**6\/210 + 2*u**5\/7 + 3*u**4\/7 - 6*u - 109. Solve s(h) = 0 for h.\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from bkjkkffkfk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 5 (c) 0 (d) -6\/5 (e) 2\/7 (f) -9266\/1069\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 45 = 0, -5*y - 490 = -315*j + 310*j. Solve 98*k - 205 - j = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39 plus -9873?\nAnswer: -9873.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -48, -32, 0.4, -23, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1611913600 to the nearest 1000000.\nAnswer: 1612000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7 + 4*b + b**3 - 3*b + 7*b**2 + 5*b. Let h be (-5)\/((-10)\/6) - 18. Let u(k) = -2*k - 36. Let m be u(h). Determine l(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 2 + 68*a**2 + 12*a - 122*a**2 + 64*a**2. Let f be h(6). Is 20 a factor of (-5)\/(-4) + f + 9204\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 303, 313, 327, 345?\n\"Answer: 2*b**2 + 4*b + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30452.\nAnswer: 2, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1532, -1527, -1520, -1511, -1500?\nAnswer: -1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1765070794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2326664360?\nAnswer: 2, 5, 23, 2528983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from vfjjjeefhhhx.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 - -48.862915049?\nAnswer: 684.862915049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v - 6. Let u be 2\/(56\/12 + -4). What is i(u)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.82 - 0.22. Let k = z + -2.3. Let q be (-15)\/(-28) - (-4)\/(-14). Which is the biggest value? (a) q (b) k (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owq when three letters picked without replacement from {w: 1, o: 1, q: 1, l: 2, x: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbjjhbesbjbjhbbhe. Give prob of picking 1 b, 1 j, and 1 s.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396, 962, 1512, 2040, 2540, 3006?\nAnswer: 3432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33259*j - 33278*j - 116 = d, 3*d + 2*j + 18 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 7. Let v(j) = -2*j - j**3 + 3 - 3 - i*j**2. Is v(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 147*i - 64 = 143*i, 0 = -35*u + 5*i - 205 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -10*w**3 - 647*w**2 + 196*w + 87. What is k(-65)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 385 + -380. Sort 0.2, 2\/17, -0.4, z in increasing order.\nAnswer: -0.4, 2\/17, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 10*x**2 - 12*x + 9. Let f be o(11). Let r be -2 - f - (2 + 0). Let t(g) = -3*g - 1. Give t(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 + 16*q + 370. What is k(-9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-21)\/(-20))\/((-8)\/16)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 375 and 1250.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 8*q - 15. Let f be u(10). Suppose 2*v = 6*v - 8. What is the lowest common multiple of 4\/((5\/v)\/f) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 5*i - 311. Let n be l(0). Let t = 324 + n. Solve -k + 10 + t = -5*h, -3*k - 6 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128249 - 64140 - 64109 + 24*s**3.\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 7:35 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113 + 182. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 7*f + 222374 - 222408 = 0, -p = -2*f - 3*f + 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 5*y + 5. Let f be u(5). Let z be (4\/(-6))\/((-20)\/30). Solve f*c - z = 2*r + 22, r + 16 = 4*c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.7034463 rounded to two decimal places?\nAnswer: -58.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 15 + 16 + -24\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 1\/6 (c) -4\/9 (d) -4054\/3 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o - 1. Let l be 1 + (-204)\/(-15) + 4\/10. Let j(r) = -5*r + 83. Let v be j(l). What is b(v)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**3 + 3*c**2 + 2*c + 1. What is p(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-45)*-3)\/(1752\/(-365))*3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1941?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(sqrt(12) - (3*sqrt(12) - sqrt(12)))*4*-2.\nAnswer: -32*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13262452 divided by -6.\nAnswer: -6631226\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i*l*m**2 - 9*i*m**2 - 4*i - 9*l*m**2 - 23*l with respect to m.\nAnswer: -2*i*l*m - 18*i*m - 18*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from {r: 1, c: 2, f: 2, e: 1, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25.8 - 2.8. Let d = 27.3 - u. What is d rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from {f: 1, w: 1, j: 1, v: 2, g: 2, x: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.8 + -6.6. Let b = 3.1 - j. What is b rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 11 = -7*t + 79 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -26 (b) -2592 (c) -0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-133) + (-52)\/(-91).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**4\/2 + 2178*h**3 - 595773*h**2\/2 - 304428*h + 600138 = 0.\nAnswer: -2, 1, 154, 1299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/15)\/((-6)\/(-108)*(0 + -2))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44896261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (-1*sqrt(190)*-3 + sqrt(190)))\/(sqrt(50)\/sqrt(5)*-3) + 3.\nAnswer: 3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (160*c**3 - 3*c**3 - 31*c**3)*((-1 - 1 + 3)*(-4 + 2 + 3) + 1 + 0 - 2 - 5 + 2 + 4 + 0 + 2 + 0) to m + u*c + n*c**3 + j*c**2 and give n.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - c + c)*(5 - 5 + 5).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.21 + -0.16. Let f = -0.37036 - o. What is f rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29672 and 3.\nAnswer: 89016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64097581?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 3*x - 1. Let t be m(2). Let z be (1\/t*2)\/(-2). Let b = -1\/3 + -1\/6. Is z less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*l + 38 + 20 = 0, -5*l - 25 = 0. Let h = -16 - s. Solve -a = -3*a - h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.4 - -6. Let r be (-6)\/(-3) + 1\/(-2). What is the biggest value in g, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 3 = 5*c. Suppose 4*l = c*l. Let w be (l - 1)\/(-1) + 2. Solve 0 = -4*p + w + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 + 4*m - 3. Suppose -3*o = 10*a - 109 - 135, 0 = 4*a + 4*o - 92. Calculate the remainder when d(-4) is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 657, 658, 659, 660, 661, 662?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18218, -36448, -54678, -72908, -91138?\nAnswer: -109368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -29*i**7\/210 + 19*i**3\/3 + 22*i**2. Find the first derivative of h(n) wrt n.\nAnswer: -116*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, -4, -3.08, 0.2, 2\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + (-2 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**4\/4 + 2*r**3\/3 - r**2\/2 - 4. Let s be i(1). Solve -3 = -s*c - 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 9, 1 + 2 = 3*g - 4*m. Let v(t) = -4*t + 7. What is the units digit of v(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**4\/12 + 7*k**3\/6 - 7*k**2\/2 - k. Let n be (11 + 7)*(-1)\/2. Let q be w(n). What is q rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/((-1280)\/48)*38\/(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184470262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0476413961 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 11*r + 23. Let b be f(-8). Let d be 113\/(b*(-5)\/5). Is d\/(-6)*(-10 - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 289*m + 3. Let l(j) = 4*j - 2. Calculate 2*d(n) + 4*l(n).\nAnswer: 594*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 2*t + 240. Calculate the smallest common multiple of 5\/((-5)\/(-5 + -65)) and t.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 12*a. Let c(d) = 99248*d**2. Give k(c(q)).\nAnswer: 9850165504*q**4 - 1190976*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 84?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 1977516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -215 = 5*o - 819*q + 825*q, 0 = 2*o + 3*q + 110 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -13, -3, 0, -5, 9, -10.\nAnswer: -13, -10, -5, -3, 0, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v + 1354. Let b = v + 952. Suppose -10*i + b = -5*i. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 9*m - 15*m. Let j(k) = -2*k + 1. Calculate j(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203223 - 1312?\nAnswer: 201311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/5 (b) -13\/2 (c) 3 (d) -0.4 (e) -9.5 (f) -144\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 124572?\nAnswer: 124572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -58*j**2. Let u(t) be the third derivative of -13*t**4\/3 + 230*t**2 + 4*t - 2. Give u(d(o)).\nAnswer: 6032*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-108) - (-25)\/9. Suppose 4*c + 10 = -k, 0 = -4*k + c - n*c + 2. Solve k*h = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 183808617?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13407*p**2 + 32407?\nAnswer: 26814*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 114.25299 nanoseconds?\nAnswer: 0.0000000019042165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (0 - (-6 - -6) - (11 + -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 493425666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 8781.\nAnswer: -5\/8781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/28 + (-193)\/14. Let p = d + 85\/6. Is 1 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*f - 97 = 13, a + 36 = 2*f. Let j = -18 - a. Solve -4*n + j = 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -10*h + 665. Let b = h - 69. What is the highest common divisor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6757 - -7112. What is the lowest common multiple of 142 and k?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -79, 20, 1, 64?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a kilogram in grams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 522 = 130. Solve f*m - 65 = 15*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18637709 is divided by 3416.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x + 17. Let g(d) be the first derivative of -3*d**2\/2 + 1. Give y(g(c)).\nAnswer: 9*c + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 234960977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 661 bigger than 4890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3634, -7285, -10936?\nAnswer: -14587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-6 - 1)*(-500)\/70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from mmzmmzzm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58.36 + -0.64. Let z = s - -55. Let i = -4.93 + -0.07. Which is the smallest value? (a) z (b) 1\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -4. Let t be q + 0 + -1 + 306. Let p = -161 + t. Calculate the highest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-44\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - j + 1 + (-3 + 2 + 2)*(1 - 2*j - 1) - j + 1 - 1 + (-24*j + 63*j + 46*j)*(-5 + 0 + 6).\nAnswer: 81*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5329319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*b)*(7 + b**2 - 7) + (b - 3*b + 3*b)*(3*b - 3*b - 4*b**2).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + -5.04. Let f = -6.83 - h. What is f rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y = 4. Let j be 1 + y + 0\/(-2). Suppose 3*u + 25 = -j*u. Put 4, 5, u in descending order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148991802 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*u = u + 83, 0 = -5*i + 4*u + 393. Let y(d) = d**2 + 78*d - 769. Let m be y(9). Suppose -m - i = -r. What are the prime factors of r?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**4\/4 - 3*i**3 - 2*i + 24. Calculate d(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + k + (0*k - k - k)*(3 - 3 - 2) + (43 - 89 + 50)*(2*k - k - 2*k)*(-5 + 4 - 1).\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/442 or 1?\nAnswer: -1\/442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -724703\/125670 + 1\/20945. Find the common denominator of 11\/4 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122170.\nAnswer: 2, 5, 19, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**4\/78 + 34*y**3\/13 + 257*y - 2. Solve f(i) = 0 for i.\nAnswer: 0, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2507 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 118, 176, 234, 292?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 512 (b) 4 (c) 104 (d) -4\/3 (e) -0.7 (f) -4 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xeeexxxxeeexex. Give prob of picking 2 x and 2 e.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/3)\/1 + -2. Let k be 12\/(-4) - (c - 1). What is the remainder when (k + 2 - -1) + 4 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (7 + 4) - -29) + -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/6, -14.76, 0.18 in decreasing order.\nAnswer: 7\/6, 0.18, -14.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 2*h - 30 = 0. Let a be 6 + (1 - (2 + h)). Solve a = -0*s - 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5}. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13580 and 315?\nAnswer: 122220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 2826*g + 507254. Calculate x(-211).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 11) in base 8?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.063 + -39.937. Let g = i - -36. What is the second biggest value in 1, g, -0.1, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -486? (a) 4 (b) -0.3 (c) -3 (d) 5 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-3 + 0)) + 1. Suppose -s - b = -10. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 6:24 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 47784*s + 18134013.\nAnswer: 3*(s - 15539)*(s - 389)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i - 36. Let m be -3*1\/(-3) - 0. Let a(d) = 24*d. Let s be a(m). Solve 0 = -g + 5*v + s, g - 3*v + v - i = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a century?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 3. Let c be j(0). Let w = -25771 + 27051. List the prime factors of 4\/c - w\/(-60).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1089 - 572. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36935?\nAnswer: 5, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (12 + (9 + 7 - 27) + 11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**16*v\/v**(-10\/13) assuming v is positive.\nAnswer: v**(231\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 22*o**2 - 43*o + 38. Give s(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 111 = 3*j, -5*j + 83*p - 79*p = -194 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 2*b + 1311*b - 799*b - 795*b - b + b + b + (0*b - b + 2*b)*(3 + 1 - 2) - b - 4*b + 4*b to g + r*b and give r.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -12. Suppose -c - v = -6*c + 4*i, 3*i - 5 = 2*c. Let f = 10 - c. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {b: 2, r: 7, a: 4, p: 1, f: 2}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + d**3 + 3*d**2 + (459*d**2 - 7*d - 6*d**3 - 459*d**2)*(3 + 0 + 7).\nAnswer: -59*d**3 - 70*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -388962*u**4 + 72737070*u**3 - 1934342432*u**2\/9 + 5843864*u\/9 - 1472\/3 = 0. Calculate u.\nAnswer: 2\/1323, 3, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 23. Let j(c) = 5 - c - a*c**2 - c**3 + 0*c**3 + 4. List the prime factors of j(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004783 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 - 2*w + 1. Let m(d) be the third derivative of -d**6\/120 + d**5\/6 - d**4\/24 + 4*d**3\/3 + 39*d**2. Let b be m(10). Give h(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232 + -1622\/7. Let o = 1 - 1. Are o and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/850 and 129\/(-476) + 283\/(-1132).\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/(y**(-6\/11)\/y)*y)\/y)\/(y\/((y*y*y**(1\/11))\/y*y*y)))\/((y*y**(1\/2)*y)\/y)**(19\/5) assuming y is positive.\nAnswer: y**(-7\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, -18, -129, -5 in descending order.\nAnswer: 58, -5, -18, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*f + 251*f + 27633 + 10317 = -730*f for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/11818 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.072 (b) -11\/5 (c) 2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2274419, -4549568, -6824717?\nAnswer: -9099866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/(-30)*(-4 + (-342)\/(-81)). What is the second biggest value in d, -107, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (16 + -11 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**(-3\/7)*a)\/a)\/a**(9\/4))\/(a*a\/(a\/a**3)*a)**(-5) assuming a is positive.\nAnswer: a**(681\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3)*z*z*z\/z**(-5\/2)*z\/z**(3\/4)*z*z\/(z**2*z))\/((z*z\/(z**(2\/11)\/z*z*z))\/(z*z**(-2)))**21 assuming z is positive.\nAnswer: z**(-4325\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -119286561?\nAnswer: 3\/39762187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -0.1 (c) 1\/4 (d) -211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-5) + 1 + (-1462)\/255 and -109\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o - 422510 + 2162201 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -10)*(20\/28)\/((-1)\/2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/3*(-1 + -4). Suppose 4*p - w = 3*p. Suppose -4*v + 0*v + p = 0. Solve -3*f = -5*a + 2 - 9, 11 = 4*f - v*a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13, -1, -3, 0 in descending order.\nAnswer: 13, 4, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f - 21. Determine g(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -165 - -330. Suppose -l = -13*j + 46*j. Let o(m) = m**2 + m. Let d(k) = k**3 + 2*k**2 + 3*k. What is j*o(i) + 2*d(i)?\nAnswer: 2*i**3 - i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*r - 2*r. Suppose -2*u + r*u - 2 = 0. Let z(y) = y - y - u*y - 7. Determine z(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 232*f**2*t**2 + f**2*t + f**2 + 2*t wrt t.\nAnswer: 464*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 4:57 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (129\/86)\/(4\/((-128)\/6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*y - 191114 = -279*y. Calculate the highest common factor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12480*u**3 - 24*u**2 + 2*u + 49.\nAnswer: -74880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**2 + 0*b**2 + b**2. Suppose 0*q = -2*q - 3*j + 97, -5*q + 232 = -3*j. Let d(f) = -26*f - 19*f + q*f. Calculate w(d(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -413?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*n - 43 - 69 = 0, 0 = -5*g - 3*n + 491. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -120, -243, -366?\n\"Answer: -123*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 371 = -3*u, 0 = -r + 2*r - 3*u - 67. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*c + 8 = 0, -22 + 24 = 2*n + 5*c. Let t = 1 - 0. What is the units digit of (-5)\/(-1 + n) + 54\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/98736 and 53\/2.\nAnswer: 98736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 - 19*p**4 - 3 - 9*p**4 + 60*p**2 - 33*p**2 wrt p?\nAnswer: -672*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1079664 * -2\nAnswer: 2159328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**2 + 198. Let u(c) = -27*c + 1. What is u(z(m))?\nAnswer: 54*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**23\/j**(-32)*j**(-1\/51)\/j*j*j\/(j*j*((j*j\/(j*j\/j**(-3))*j*j)\/j)\/j) assuming j is positive.\nAnswer: j**(2906\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*s, s + 9 = 5*d - 3. Let h = -26 - -17. Let t be 5 + 2*h\/6. Which is smaller: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*m - 7*m - 18, -4*m = j + 18. What is the third biggest value in -2\/11, m, -6\/37, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 214 = -4*n + 253, -5*n = -3*i - 45 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 + -127. Let a = c - -44. Let u = 47 + a. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1254 - -0.13. Round i to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 10 = 2*g, 2*h - 11 = -5*g + 3*h. Suppose -173 = -g*m + 286. Let c(u) = -9*u - 1. Let o be c(-2). Calculate the greatest common divisor of m and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 11 + 3 = 2*j, -2*j = 5*n + 10. Is (1*n)\/((-19)\/((-1707777)\/(-18))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111010001 - -10?\nAnswer: 10111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 111 and 111 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, c: 2, r: 4, e: 6, t: 2, p: 2}. Give prob of picking 1 r and 1 e.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5472 - -9248. Suppose -711 = -7*x + z. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.16 and -51.\nAnswer: 314.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/90*18)\/(-2 + 68\/28).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 14*b - 279. Calculate f(15).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - -13 - (1 + -3). Let p be 8\/y*-2*-20. Let r = p - 19. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2371?\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + 2*u**4 - 3*u**4)*(-4 - 1 + 2) + 3*u**4 - 2*u**4 + u**4.\nAnswer: 11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 5*o - 3. What is f(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0398206081 rounded to 5 decimal places?\nAnswer: 0.03982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7565\/453 + 5\/151. What is the common denominator of -42\/11 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6507615993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2755*x**2 - 2507*x + 2505*x - 366*x**2 in the form u*x + p*x**2 + k and give p.\nAnswer: 2389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 294*g**5 - 4970*g**4 + 24034*g**3 - 29302*g**2 + 11312*g - 1368 = 0.\nAnswer: 2\/7, 1, 19\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-20)\/7)*(-4)\/(-7)*-14?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 9*v**2 + 4*v**2 - 15*v + 4 + 7*v**2 + 4*v**3 - v**4 + 7*v to n + j*v + a*v**4 + u*v**3 + x*v**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 5:10 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -25765, -2, -187 in decreasing order.\nAnswer: -2, -5, -187, -25765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.9 and -4821.4.\nAnswer: -81481.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 6*b + 3*b)*(-1445*b**2 - 9004*b**3 + 1445*b**2 - 1) to the form r + j*b**4 + m*b**3 + l*b + v*b**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-16))\/(((-22)\/77)\/((-40)\/35)). Solve 5*q = u*b - 12 + 2, -3*q + 10 = b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-20)\/(m\/m**(-2\/3)))**(-15) assuming m is positive.\nAnswer: m**325","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 49, -72, -1, 2\/5?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 + 2*p + 1. Let l(o) = 3*o**2 - 2*o - 1. Let q = -66 - -69. Let z(s) = q*l(s) + 4*x(s). What is z(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0.1. Let i = 10\/23 + -283\/69. Let v = -53\/15 - i. What is the nearest to y in -0.06, -4\/7, v?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*l + 3*l + 14, 5*x = 5*l + 20. Let p be -4 - (27\/(-2))\/x. Which is the second biggest value? (a) p (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 338 (base 12) to base 5.\nAnswer: 3401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -585 + 126*y - 12*y + 30*y + 3*y**2 + 2313.\nAnswer: 3*(y + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 4*i + 3*i + 3*i**2 + (i + i - i)*(-3*i + 5*i + 0*i))*(-i**2 + 2*i**2 + i**2).\nAnswer: 16*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -6603, -2, -5, -29 in decreasing order.\nAnswer: -2, -5, -29, -6603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6*72\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 b, 1 r, and 1 h when four letters picked without replacement from {u: 2, y: 1, r: 1, m: 1, b: 1, h: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -6032133, -9, -2 in descending order.\nAnswer: -2, -9, -6032133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 136.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*n = 5*v + 26, 2*n + 431 = -5*v + 459 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1651 - 149755 = -1524*a + 966*a - 1125*a for a.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 1. Let n(f) be the second derivative of f**3\/2 + 3*f**2\/2 - 2*f - 35. What is -k(o) - n(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d - 3. Let c(j) = 29*j + 4. Suppose -i = -5*i + 76. Let s = -11 + i. Let k(g) = -10*g - 1. Let f(l) = s*k(l) + 3*c(l). What is 4*f(r) + 5*t(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101330 + 11?\nAnswer: 102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cayc when four letters picked without replacement from {o: 1, a: 1, c: 4, f: 1, y: 1, s: 5}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + c = 12, -57*i + 60*i = 5*c - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 20, -83*a + 85*a - 2*r = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24513 or 24512?\nAnswer: 24513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -612.9 and 1.207.\nAnswer: -611.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0 + -2)*-1. Let z = -1 - c. Let q be ((-2)\/(-5))\/(36\/90). Put q, z, -4 in ascending order.\nAnswer: -4, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 - -126. Suppose -13*f + 231 - 179 = 0. Find m, given that 18\/7*m**5 - 8\/7*m - 16\/7*m**2 + 0 + 74\/7*m**a - 68\/7*m**f = 0.\nAnswer: -2\/9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-13)\/(117\/(-9)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**4\/12 + 3*d**2 + 18*d - 2. Let g(j) be the first derivative of h(j). List the prime factors of g(-8).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -524*p**5*t - 44812*p**5 - p**2*t + 20*p**2 + 3*p - 6850 wrt p.\nAnswer: -31440*p**2*t - 2688720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 954 is divided by 896.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 3 - 5*a**4 + 2 + 3*a**4 in the form q*a + k + n*a**4 + y*a**3 + o*a**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 3. Suppose h = 2*m - 2*h + 7, 19 = 4*m + t*h. Calculate the remainder when m is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*l + 37*l + 3264 = -26*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 550719.8 decades in months?\nAnswer: 66086376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -790 (b) -0.3 (c) -0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 44. Let m be ((-7)\/(y\/2))\/1. Factor -2\/3*h**2 + m + 0*h.\nAnswer: -2*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1659565824 + -1659565677.0000118. Let t = w - 147. Round t to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 15, -3, -2 in decreasing order.\nAnswer: 20, 15, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1210 divided by 5\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 - 109*t - 3780. Calculate y(78).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52323414?\nAnswer: 2, 3, 11, 13, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53844 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1107*g**3*n**2 + 55986*g**3*n + 9*g*n**3 wrt n?\nAnswer: 2214*g**3 + 54*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*z**4 - 129271*z**3 - 214*z**2 + 17790*z wrt z.\nAnswer: 216*z - 775626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -2 - 15\/(-5). Suppose q = x, 5*h - 2*q - 78 = -0*q. Calculate the lowest common multiple of h and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61229.97 nanograms to grams.\nAnswer: 0.00006122997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v\/(v\/(v\/(v**(-5)\/v*v))))\/v)*v*v**(-2)*v**7*v*v**(-7\/3)*v*v*((v**(-1\/8)\/v)\/v**(-5\/2))\/(v**0)**40 assuming v is positive.\nAnswer: v**(97\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 0.0408, -445?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000837061 rounded to seven decimal places?\nAnswer: 0.0000837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 872 by 17.\nAnswer: 872\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -2. Let a(t) = 3*t - 22. Determine a(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 327 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2436 + -127. Let n = x + -955. List the prime factors of n.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55137247 divided by 5012477.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2*l - 26, -4*l + 31 = 5*b - 2*l. Let y = 28 - b. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*y - 190*y + 345 = 107*y. Sort y, 4, -12.\nAnswer: -12, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 22*m**2 - m + 1. Let a = 1 - 0. Is n(a) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.461.\nAnswer: 0.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -435 and -2169\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 590.\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12*2\/4 + 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35133*z**3 - 988*z + 8 wrt z?\nAnswer: 210798*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1662540123.\nAnswer: 3, 10709, 51749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(3\/(-10)))\/((-40)\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4009, 4016, 4023, 4030?\n\"Answer: 7*f + 4002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 4 - 4)*(316 - 316 + 151*t) + 2*t**2 - t**2 - 2*t**2.\nAnswer: 301*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 228 + -224. Solve -x + 12 = -d*u, 3*x - 4*x = -3*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -50*y + 55*y + 1, -4*u + 11 = -y. Factor -1\/2*v**5 + 10*v**2 + u*v**3 - v**4 + 19\/2*v + 3.\nAnswer: -(v - 3)*(v + 1)**3*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9134 at most as big as -202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - x = 20, 3256*x - 3255*x = -d - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 39*a + 82. Calculate m(41).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -0.7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4668.853nm to meters.\nAnswer: 0.000004668853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 248\/31 + ((-12448)\/592 - -13).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.3 - -9. Which is smaller: -5 or z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 3)*(-6*s + 3*s + 2*s + (-4 + 4 + 1)*(-5*s + 2*s + s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46100 and 550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -149 (b) 3\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -13, -17, -33, -67, -125, -213?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*z = -f + 24, 0 = 3*z. Let y(r) = -r**3 + 28*r - 1. What is the remainder when y(-6) is divided by -2*((-51)\/f - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -155*z**3 + 4*z**2 - 11*z + 35. Is w(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1560*z + 3141. Give f(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4323 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411250?\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 4*y**2 + 6*y - 7. Let x be w(5). What is the remainder when 2 is divided by 3 - (x + 0 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2557 - -10375. Is k a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6291126.\nAnswer: 2, 3, 349507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -14004 at most -13892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Divide 20612732 by 210334.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.7 + 8. Let r = 0.3 - i. Let w = r + -2. Which is the biggest value? (a) w (b) 1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*z + 11*z - 23*z - 15*z in the form q*z + g and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z - z)*(3 - 1 - 3) + 3*z - 4 + 4.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*y = 0. Let o(j) = -2 + y*j - 3*j + 2*j. What is the units digit of o(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 548*s + 15*s + 18016 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6633 is divided by 117.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 913211 (base 13) to base 6\nAnswer: 200214525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15580\/(-10906)*(2 + 14 - 2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220223.\nAnswer: 191, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k + 5*k - 69 = 0. Let l(p) = 3*p + 1. Suppose -2*d + 0 = -4. Let v(r) = 4*r + 1. Give d*v(o) + k*l(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (485\/15)\/(3\/(-9)). Let s = x - -109. Suppose 0 = -f - s + 145. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1086, -1068, -1050, -1032?\n\"Answer: 18*a - 1104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 11 = w, 1034*w - 2*i = 1029*w + 23 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 6 - 1. Let i be -3 - m\/(3 - 2). Which is the biggest value? (a) i (b) -0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from {d: 1, l: 4, u: 10, o: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009636 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4847766 is divided by 7268.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 516 (base 12) in base 14?\nAnswer: 3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -7*a + 60. Suppose -a = -5*k + 3. Let v = k + -1. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 104 + (5 - 1) + -1. Let x = 257 - t. What is the units digit of 1*7*x\/(-35)*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millennium in years?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.099 + 0.099. Let t = -0.41 + 0.41. What is the fourth biggest value in f, 0.6, 2, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 3*r + 4. Let t be p(-3). Let h = 7 - t. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62657000 rounded to the nearest 1000000?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (140*i - 89*i + 51*i)*(3*i - 14*i - 7*i) in the form x + q*i**2 + l*i and give q.\nAnswer: -1836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10614*t**3 - 571*t**2 - 49*t + 6. Let i(x) = -x**3 + 7*x - 2. Let v(s) = a(s) + 7*i(s). Find the third derivative of v(y) wrt y.\nAnswer: -63726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (637\/728)\/((-2)\/2)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-2 + 1) - ((-140220)\/(-152))\/205?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 169 - 125. Suppose 4*y - 262 = -2*j, y + j - o = 22. What are the prime factors of y?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 110 = -2*h - 3*h - 11*r, 206 = 5*h + 9*r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26196191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 + 3565*x**2 + 91120568*x\/5 + 99993984244\/5.\nAnswer: (x + 1501)*(x + 8162)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*v = -9, 2*h + 5*v + 2 - 13 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 1 - (-3 - -1). Suppose -h*i - 3 = 7. Let s = -998 + 997.9. Do s and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 6:48 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) 20 (c) 8 (d) -1\/6 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7379783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6917189 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 8*z**2 - 7*z - 8. Let j be -1 - (-14)\/(-2) - -1. What is h(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 441*f - 1306. Let k be w(3). Solve 0 = -k*q + 325 - 257 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -98, -251, -554, -1061, -1826, -2903, -4346?\nAnswer: -6209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 143742?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -11. Sort o, 4, 7.\nAnswer: o, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 + 13*p**2 - 7*p + 44. Calculate the remainder when 154 is divided by g(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -41. What is the remainder when 69 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjxxjxjjxxjxjjjjxxj. Give prob of sequence xxjx.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5\/13 + 16*i**4\/13 + 22*i**3\/13 - 36*i**2\/13 = 0.\nAnswer: -2, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 4) in base 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 5*v = 8. Suppose -7*i + 12 = -v*i. Suppose -5*l + 32 = 2*k, 0 = 5*k - 4*k + i. Let m(b) = -b**2 + 10*b - 9. Determine m(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 218*i + 16 - 220*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69300002 = -3*w - c, 4*w - 2*c - 92399996 = -0*w. Round w to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*6\/(-63) + 744\/217. Let a(n) = 2*n**2 - 6*n + 15. Let z(s) = s**2 - 3*s + 8. Let j(k) = 6*a(k) - 11*z(k). Determine j(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 7*m + 7. Suppose f + f + 20 = 0. Let k(q) = q + 16. Let r be k(f). Is d(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41127 days in milliseconds?\nAnswer: 35533728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 40717.\nAnswer: 40716.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 48*o - 27*o - 290, 2*o = 5*v + 18 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-20))\/((-3)\/2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 0, 12.7, -1590\/19 in descending order.\nAnswer: 12.7, 0, -5\/6, -1590\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2578\/7 in 4, -0.1, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1019, 2038, 3057, 4076, 5095?\n\"Answer: 1019*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95104040.\nAnswer: 2, 5, 2377601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 126701 + -114\nAnswer: 126587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*s + 19505 = 21331 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 2)\/(1\/2). Suppose -3*r - 15 = -i*r. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000000 (base 2) in base 12?\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331.3405 hours to microseconds.\nAnswer: 1192825800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/12 - (-21521)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*m - 45*m - q - 1577, -q = -4*m + 3151. List the prime factors of m.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-10))\/((-14)\/(-560)). Suppose 0 = 71*p - o*p - 77. Solve u + 5*s + p = -2*u, -15 = -u + 3*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 181064208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -165 and 0.100254.\nAnswer: -16.54191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - 1. Let z = 31 + x. Calculate the remainder when 59 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222 - 197. Solve 0*q + v = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + 25 - 11*o - 27 + 52*o.\nAnswer: 48*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4 + (-1)\/2. Let z be (-3)\/((-69)\/(-30) + f). Is (66\/(-15))\/(2\/z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(12)*1 + -3)**2 + (4 + -1 + sqrt(3) - (sqrt(12)\/sqrt(36) + sqrt(3)))**2).\nAnswer: -56*sqrt(3) + 364\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w - 6*w - 4 + 2*w**2. List the prime factors of p(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 542*h**6 - h**4 - 688*h**2.\nAnswer: 65040*h**3 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -9. Suppose -76 = -4*z - 3*r, 3*z - z - 2*r - 24 = m. Differentiate -3*k**2 + z*k**2 - 6 - 8*k**2 wrt k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.8 - -9.8. Which is the closest to 1? (a) -0.5 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.019 in 5, 1\/13, -1, 0.4, -2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 - -0.06. Round u to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26100245.06 to the nearest ten thousand.\nAnswer: -26100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/281, -3\/5, 0.04?\nAnswer: 1\/281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 6.3 (c) 17.6 (d) 1\/41 (e) 39 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 23 = 6*x, 55 = 4*x - 475*s + 470*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 15 = 5*j, 0 + 13 = -a - 2*j. Let o = a + 9. Let d(v) = v**3 - 5*v**2 + 5*v. What is the units digit of d(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -5, -226, -56 in decreasing order.\nAnswer: 3, 2, -5, -56, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 2. Let r = 0 + 0. Let x be s(r). Solve -x = -3*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w - 8. Let t(z) = 908*z - 9990. Let j be t(11). Calculate i(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*s**3*z**2 + 2*s**3*z + 2*s**2*z**2 - s*z**2 wrt s?\nAnswer: -210*s*z**2 + 12*s*z + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -26. Suppose -k + d = 6. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Calculate v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 25 = -4*g - 3, -3*t = -4*g + 18. Let d = t - -5\/2. Factor 0 + 0*n + 0*n**3 - 1\/2*n**4 + d*n**2.\nAnswer: -n**2*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 9*w + 10. Let j be p(8). Let k be 26*(j + -3)\/(-2). Suppose -2*o + 3*i + k = 0, -o - 4*o - 4*i = -21. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55714 (base 8) in base 15?\nAnswer: -6e6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*q**3 - 30\/7*q - 2 - 18\/7*q**2.\nAnswer: -2*(q + 1)**2*(q + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*d - s, 5*d + 11 = s - 1. Let m(j) = j**3 - 25*j**2 - 25*j - 24. Let n be m(26). Sort -5, d, 3, n in decreasing order.\nAnswer: 3, n, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17351780, 34703556, 52055332, 69407108?\n\"Answer: 17351776*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 10 = 3*w. Solve 2*y - 15 = w*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -21\/8 (b) 3 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*n + 30. What is the highest common divisor of 285 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84110.99 take away 193?\nAnswer: -84303.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 38.4168 * 0.1\nAnswer: 3.84168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10*r - 105. What is the least common multiple of 20 and w(15)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.32342 rounded to two decimal places?\nAnswer: -2.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -9 + 13 - 4*k**2 - 4*k - 4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/2 - 9640*j**2 + 57847*j\/2 - 19283.\nAnswer: -(j - 2)*(j - 1)*(j + 19283)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 7*l - 45 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q - 19 - 107 + 28 = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 2:25 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 + 3*z**2 - 3*z**2 - 4*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 8. Let j be z(-6). Let u(n) be the first derivative of 2*n**3 + n**2\/2 - 1. Calculate the remainder when u(j) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 39*g - 31*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3993 at least 3644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7518961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-2)*(-12)\/480*-6\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 7*z**2 + 2*z + 8. Let m be s(-7). Let k be m\/(-27) - 11\/9. Let x(v) be the third derivative of -v**4\/6 - v**3\/6 - v**2. Give x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -79. Let i = 1231 + -1214. Suppose i = p - q. List the prime factors of p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -35221*b. Let f(c) = 725*c + 1. Give f(v(g)).\nAnswer: -25535225*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 3*z**2 + 134*z - 514. What is m(4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 271, 546, 821, 1096, 1371, 1646?\n\"Answer: 275*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*b + 8668 - 9220 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 64, 42, 32, 40, 72, 134, 232?\n\"Answer: y**3 - 29*y + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/627*11)\/(-3)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 19. Is 3 not equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 6:46 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - p + 29 = 0, 2*v - 20 = -0*v - p. Does 21 divide v\/(-6)*80\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -2*y + 7, y = -4*y - x + 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 24 = 0, 0 = -4*c - 3*t + 83 - 53 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 4. Let s(z) = -z. Let l(x) = -x**2 - 9*x + 2. Let f(t) = j*s(t) + l(t). Let a be f(-6). Solve 3*g = 3*w + 9, -2*w - 6 = -a*g - 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 113, 252, 437, 662?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -3)\/((-12)\/(-264)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*(sqrt(11) + -2))**2.\nAnswer: -144*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 - (-5 + 1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.5 + 4.5. What is the nearest to -1\/3 in k, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-three fifths of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000110111001001100 (base 2) to base 13.\nAnswer: -2b9189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 101721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4 = 7*z - 3*z, -5*p = 5*z + 45. What is the biggest value in -0.2, 4, p, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**13*a*a**(-3)\/a*a**(2\/11)*a**(-23)\/a)**(3\/2) assuming a is positive.\nAnswer: a**(-228\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l**4*l)\/l*l**(-9)*l*l\/((l*l**(2\/19))\/l)*l**(1\/4))**(-2) assuming l is positive.\nAnswer: l**(65\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, 7, -5.\nAnswer: -5, 2, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186264 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(192))**2*3 - ((-2*sqrt(363) + sqrt(363) - sqrt(3)) + sqrt(3) + sqrt(9)\/(sqrt(6)\/sqrt(2)))).\nAnswer: -1728 - 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o - 31*o + 6*o = 15*o - 1440 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 36*q**3 - 22*q**2 + 2*q + 36. What are the prime factors of j(5)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36142 - 38765 = -29*z. Let b = z - 1574. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -426, -345, -276, -225, -198, -201, -240?\n\"Answer: -c**3 + 88*c - 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-8)*x)\/x)\/(x*x**(-11))*x**(-3)*x**6*x assuming x is positive.\nAnswer: x**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 801 (b) -9 (c) -0.5 (d) 0.26 (e) 2\/9 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/24)\/(1*(-35)\/30).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:10 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -137383*b*g*y - 66*b*y - 2*y - 621 wrt g.\nAnswer: -137383*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (9 - (-6 + 18) - 10 - -42)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/5 and 202*3\/(-36) + 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 125\/10*180\/33. Let z = m - 68. Which is the second smallest value? (a) z (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 10:43 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u + 4 = 0, 5*o + 2*u - 3 = 0. Let s = -0.17 + 0.57. What is the third biggest value in s, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 591 - 11478a?\nAnswer: -1141b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -17*x - 1 - 4 + 3*x - 1 - x**3 - 9*x**2. What is the remainder when i(-8) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-6) + 184\/48. Suppose -2*w - f + 2*f = -m, 5*w = 4*f + 16. Solve 5*v - 5*i + 10 = w, 2*v = -i - i + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 68798.18 grams?\nAnswer: 68798180000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 6*h**2 - 6*h + 4. Let s be g(4). Let l be (0 - s*1)*-1. Let k(y) = y**2 - 13*y + 15. Let t be k(l). Solve -t*d = -7*d + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14508, -14482, -14432, -14352, -14236, -14078?\nAnswer: -13872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -5.6. Let k = 25506 + -25513. What is the nearest to 2 in g, -4, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197305005 to the nearest integer?\nAnswer: 14047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -407 - -9323\/23. Calculate the common denominator of 28\/5 and v.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181\/543*(-2)\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 961*m**2 - 759. Let g(v) = 2*v**2 - 2. Let c(s) = -2*g(s) + z(s). What is the first derivative of c(y) wrt y?\nAnswer: 1914*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381117004?\nAnswer: 2, 95279251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 898819015 to the power of 1\/3, to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 - 2*m**2 - 2*m - 1. Let a be y(-1). Let h(k) = 2*k - 14*k**2 - 5 + 6*k + 15*k**2. Let z be h(-9). Sort -2, a, z in decreasing order.\nAnswer: z, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p + 0*p + 2*p)*(393*p + 100 + 106 - 206) to f*p**2 + z*p + b and give f.\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69\/4 - -35\/2. Suppose -6*i + i = 2*h + 27, -h - 1 = 0. Let y be 1\/(1 + 0) + -3. What is the nearest to l in y, -2\/9, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 7. Let h be l(5). What is the units digit of (-5)\/h - (-2)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j*r*z**4 - 2*j*r*z**2 + j*r - 1596*j - 52*r*z**3 - 155*z**4 wrt z?\nAnswer: -96*j*r*z - 312*r - 3720*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293609.3 months in millennia?\nAnswer: 107.800775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 96540916 and 0.4.\nAnswer: 38616366.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -18*p**3 - 9*p**2 + 4*p + 5. Let i(u) = -u**3 - 2*u**2 + u - 1. Calculate -4*i(d) + o(d).\nAnswer: -14*d**3 - d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22043026?\nAnswer: 2, 137, 80449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 86.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 11:58 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -48655 + 15.5936716?\nAnswer: -48639.4063284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7790026, -15580077, -23370128, -31160179?\n\"Answer: -7790051*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c**2. Let t(y) = 10721*y**2. Determine t(m(r)).\nAnswer: 525329*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**3\/6 + b. Let w(l) = 2*l. Let o = -284 - -281. Give o*g(m) + 2*w(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 4*s**2 - 2*s. Let b be r(-4). Suppose -3*v = -5*f + 29 - b, -5*f - 2*v = -36. Suppose 2*g - 232 = -224. Solve -g*u + 2 + f = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(((w**(4\/5)\/w)\/w)\/w))*w*w\/(w**11*w*w))\/(((((w\/(w*w*w*w\/(w\/(w**0\/w))*w))\/w)\/w*w)\/w*w)\/((w\/w**23)\/w)) assuming w is positive.\nAnswer: w**(-166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2, 2\/3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 858 is divided by 139?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 3\/4, -16.82?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7757255.4 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 - 199687*a**3 - 2*a - 4*a**2 + 242 + 199685*a**3 - 6*a**4 in the form x*a + z*a**4 + i*a**2 + y + f*a**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3149*t**2 - 1219*t - 5. Let v(k) = 1579*k**2 - 608*k - 2. Let u(c) = -6*i(c) + 14*v(c). What is the second derivative of u(o) wrt o?\nAnswer: 6424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2511*j**4 + 2*j**3 - 14*j**2 + 30*j + 1.\nAnswer: -60264*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - -2. Let b = f + -10. Let d = b + 80. Calculate the greatest common divisor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffffffkffffffkkfff?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 1.43, 565\/3, 1\/6, 2, 3\/4?\nAnswer: 1.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4761 - 49773\/11. Let x = -236 + v. Let h = 329 - 4275\/13. What is the closest to -1 in 2, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12 + 3*g + 3*g + g - 6*g. Give i(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/5, 3\/11, 2\/13, 0.1 in decreasing order.\nAnswer: 3\/11, 2\/13, 0.1, -11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/2, 0.4, 27\/8, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-56)\/315 - (-4)\/(-18). Which is greater: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - 128. Let d = -81 - h. Let u be (2 - 4) + d\/32. What is the biggest value in -3, -2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 17*u**4 - 70*u**2 - 132*u - 63. Let i(z) = -30*z**4 + 139*z**2 + 263*z + 126. Let n(p) = -7*b(p) - 4*i(p). Determine o so that n(o) = 0.\nAnswer: -7, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 6*r - 27. Determine l(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 171, 264, 357, 450?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*a - a + 127, 0 = -5*a - g + 137. Let n(c) = 2*c - 22. What is the remainder when a is divided by n(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from rrrqqrqrrrrrqqrrqqr?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p. Let o(x) be the first derivative of -4*x**3 + 4*x + 5. Determine u(o(n)).\nAnswer: 72*n**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17744145941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/80)\/((-164)\/(-170) - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 3:41 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2115\/658 - 4 - 5\/(-6)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 2:24 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 11*d**5\/30 - 5*d**4\/24 + d**3\/3 + 26*d**2. What is the hundreds digit of u(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(91)\/sqrt(7) - sqrt(13) - sqrt(13))*-4 + sqrt(13) + (sqrt(1300))**2 + -3 + sqrt(13) + (sqrt(1300) - (2*(0 + sqrt(1300)) - sqrt(1300))) + 1.\nAnswer: 6*sqrt(13) + 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -6. Find the common denominator of (-732)\/(-8)*(-1 + (-56)\/(-60)) and (-444)\/27*s\/8.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121819 is divided by 1847?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -30. Suppose -2*m + 2*g - 2 = 0, -5*m + 2*m - w*g = -5. Suppose -7*i + 4*i + 10680000 = m. What is i rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + j - 1. Let n(v) = 7*v**2 - 2*v + 13. Let s(o) = n(o) + 6*t(o). Determine s(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 31 = 7. Let z be (-31592)\/l*(-2)\/10. Let a = z - 783. Calculate the common denominator of -11\/9 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -1, -6*v + 2*v + 3*n - 19 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 9 - (7 - (24 - 20))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3631 is divided by 104.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1401*0.1\nAnswer: 140.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.04, 2\/19, 10, -3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19\/4 + 2\/8. Suppose 0*g + 34 = 5*z - 4*g, a*z - 2*g - 32 = 0. Calculate the lowest common multiple of 3 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p - 4*w + 38, 4*p - 4*w = 4. Suppose -15 = -p*z + 3*z. Let k = 0 + 0. Solve -z*x + 3 = 4*a - k, -4*a = -5*x - 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(3*l - 3*l + l)*(-4*l - 3*l + 2*l) in the form w*l**2 + y*l + u and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -26.10198249374.\nAnswer: -27.10198249374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*p**2 + 1299878*p - 410484.\nAnswer: -2*(p - 34207)*(19*p - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 265584 and 1979808?\nAnswer: 21777888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, -311, -434, -591, -794, -1055, -1386?\nAnswer: -1799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 9. Let n be 1 + 2 + (-15 + 1 - -2). Calculate x(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 - 0 - (-9 + -11 + 29 + -6) - 4\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18368 less than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 536, 1305, 2308, 3539, 4992?\nAnswer: 6661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 335*f - 670. Give w(-337).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 4*n + 4*n)*((-4 + 0 + 3)*(-4 + 4 - 2) + 2 - 6 + 3)*(4*n + 0*n - 2*n) as u + g*n**2 + b*n and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1477\/586 - 6\/293. Let s(d) be the first derivative of -4 + 0*d + 5\/3*d**3 - t*d**2. Let s(g) = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.3 - 7. Let b be (-22)\/88 - (-7)\/(-4). What is the third smallest value in 5, q, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 68 = -3*v, -v - 4*d - d - 48 = 0. Let y = -26 - v. Let 7\/3*f**3 + 0 + 3*f**y + 2\/3*f = 0. Calculate f.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 725 and 5258425.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 705, 1406, 2107?\n\"Answer: 701*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 8935 and 664.709.\nAnswer: 9599.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*t**2 - 3 + 2853488*t - 2853488*t.\nAnswer: 70*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**6\/120 + 11*n**5\/60 - n**4\/12 + n**3 + 3*n**2. List the prime factors of h(-11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-81*w**2 + 38*w**2 + 32*w**2)*(-1 - 1 - 3 + (-3 + 2 + 3)*(-1 + 1 - 2))*(0*w - 21*w + w) to l*w**2 + p + s*w + k*w**3 and give k.\nAnswer: -1980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6400*x. Let h be (2\/4)\/((-2)\/(-8)). Suppose 0 = -2*d + d + h. Let l be b(d). What is l rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-139)\/((-110)\/(-140) - (-4)\/(-14)). Is 6\/(-20)*r + 16\/(-40) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37680486 at most as big as 37680488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 v when four letters picked without replacement from {v: 3, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 5350507.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47.153 - -47.1. Let s = r + 0.253. Put s, 4, 3, 2\/7 in ascending order.\nAnswer: s, 2\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 - k - 2*k**2 + 3*k**2)*(-150 - 524 + 79).\nAnswer: 2380*k**2 + 595*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + 170. Is 6\/4 + c\/8 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-14) - (-136)\/14. Suppose -4*y + 10 = -t. Calculate the highest common divisor of y and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 - 2. Let b = 1.3 + -0.8. Let c = 3.6 + -4. What is the biggest value in b, g, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 20*c**2 + 21*c - 33. Let x be y(19). What is the closest to 2\/3 in -3, x, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -43. Let c = 27 - f. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (4 - 7) - (-9 + 11)) + -1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**2 - y - 4. What are the prime factors of b(-3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2. Let c(g) = -g - 385. What is c(h(l))?\nAnswer: -l**2 - 385","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56 or 9711\/170?\nAnswer: 9711\/170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2610 and 116.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {q: 3, b: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -3\/2, 14\/249?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73.6 + 73.9. Which is the closest to 1? (a) -2\/17 (b) -14 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 1, 53, 11, -30, -1 in decreasing order.\nAnswer: 53, 11, 1, -1, -30, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 4. Let f = g + -3.1. Let x = 85\/2 + -41. Put x, f, -0.2 in descending order.\nAnswer: x, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*o + 5. Suppose 4*k - 60 = -o*q, -5*k = -2*q - 43 - 32. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 26. Let k be f(14). Is (-8080)\/k - ((-1)\/(-3))\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 246 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 5*r + r)*(-2*r**2 - 3*r + 3*r) - r**2 + 2*r**3 + r**2 - 251*r**3 - 754*r**3 + 329*r**3.\nAnswer: -670*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 55. Let n = -16 + h. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 42\/5 of a millimeter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6462.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/63, -0.2, 0.5, -2\/7, -1\/3, 1 in decreasing order.\nAnswer: 1, 0.5, 8\/63, -0.2, -2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 11*b**2 + 14*b + 22. Let x be t(12). Suppose -1555 = -51*v + x*v. Does 28 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8401571 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24310 divided by -19.\nAnswer: 24310\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-12)\/(y\/((y**0\/y)\/y*y)*y)*(y**1)**(-4\/7) assuming y is positive.\nAnswer: y**(-109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + sqrt(11) + -1 + -3 + (-2*sqrt(11))**2*1)*-2.\nAnswer: -72 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g. Let t(m) = 657*m. Calculate t(z(a)).\nAnswer: 1971*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7))**(-49))**22 assuming z is positive.\nAnswer: z**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**4 - o**4 + 2 - o**4 + (-19*o + 6*o**3 + 19*o)*(-2*o - 2*o + 5*o).\nAnswer: 8*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -3 (c) -20\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 7*y**4\/12 - 35*y**3 + 15*y**2 - y. Let d be r(15). Solve 4*f - 3*s - 11 = -6*s, d = 3*f - 5*s + 28 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -b - 1. Let g = 0.502 - 0.702. Put -0.1, g, b in descending order.\nAnswer: -0.1, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 50\/39*k**3 + 3\/13*k**2 + 0*k + 32\/65*k**5 + 28\/13*k**4 - 60. Determine v so that l(v) = 0.\nAnswer: -3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2159 + 2206. What is the nearest to 1 in a, 0, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -54, -56, -58?\n\"Answer: -2*z - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 35121*l + 29. Calculate s(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-721)\/(-103))\/((-4)\/2*5\/(-80))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7735, 15653, 23575, 31501, 39431, 47365, 55303?\n\"Answer: 2*n**2 + 7912*n - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 13*t = -91. Put 4, 5, 1, t in decreasing order.\nAnswer: t, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-42)\/30)\/7 + 11\/5. Let y = -9 + 13. What is the second derivative of 0*c**4 - c + 2*c + g*c**y - 7*c**4 wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25.88 greater than or equal to 1.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 233*a**2*g**2 - 49*a**2 + 341*a*g**3 + 7382241*g**3 wrt a?\nAnswer: 466*a*g**2 - 98*a + 341*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2763 - 2763 + 69*t - 2687 + 10979 - 2766.\nAnswer: 69*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-91 + 73)*(-3)\/((-3)\/(-17)). Calculate the highest common factor of 36 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0329? (a) 13 (b) -0.0851 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -14. Suppose 2*g - g + j*v + 22 = 0, -3*g - 5*v = 31. Let i = 5 + -8. What is the biggest value in g, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1987491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-350)\/(-35)*11\/((-275)\/60)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667 = -90*k + 61*k. Solve 0 = -11*r - 67 + k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dklj. What is prob of picking 1 k and 1 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2062?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 8075447\nAnswer: 3\/8075447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -7. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1. Let j be 0\/q - 4\/26. Suppose -5*r = -3*z - 19, 3*z - 16 + 0 = -2*r. Which is the biggest value? (a) j (b) 1\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l**2 - 5*l - 5. Let j(i) = -7*i**2 + 6*i + 6. Let u(a) = 6*f(a) + 5*j(a). Let t(b) = -61*b + 63*b - 105*b - 10*b. Give u(t(d)).\nAnswer: 12769*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - -15 - (-5 + -16 + 14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(15)\/sqrt(5) - sqrt(3) - sqrt(3)) - (sqrt(27) + (sqrt(27) - sqrt(135)\/sqrt(5)) - sqrt(27))) + 0)**2.\nAnswer: -8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l + 2. Let d = 110 + -115. Does 2 divide w(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*g = -8910, -3*a - 2*a + 4*g = -14850. Round a to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657 = -20*r + 503. Calculate the remainder when r is divided by (-4)\/(-10)*25*2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -y - 2, -3*y + 6 = 3*k + 12. What is the nearest to k in -1, -4, -0.4, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98513123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**2 + 0*q - 2\/3*q**3 + 0 - 1\/24*q**4. Is f(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4593 is divided by 459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -892 + 149. Let c = 1474 + a. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/200*(-8)\/12*91 and -77\/160.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114880 and 2848?\nAnswer: 10224320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014.99 - 2039078.59?\nAnswer: -2038063.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -599 (base 11) to base 9\nAnswer: -872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9885076 is divided by 4676.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 h, and 1 w when four letters picked without replacement from {x: 1, z: 5, w: 3, h: 1, i: 4, j: 3}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111304*a + 111298*a + 2*r = -20, -4*a = -6*r + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**41*q**(-35)*(q*q**(-1\/54))\/q*q*q**37*q assuming q is positive.\nAnswer: q**(2429\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-7))\/(4\/28). Let v(a) = 15*a**3 + 13*a + 37. Let s(t) = 7*t**3 + 6*t + 18. Let p(r) = l*v(r) - 13*s(r). Give p(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 13*m**2 - 12*m + 5. Let w be x(12). Is 2 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1013 minus 24.033?\nAnswer: -24.1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32930 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 11*p**6\/480 - p**5\/80 + p**3\/3 + 6. Let l(h) be the third derivative of w(h). What is j in l(j) = 0?\nAnswer: 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = -o - 2*x, -2*o + 5*x + 16 = 0. Let m(c) = 0*c**2 - 38 + 42 - o*c - c**2 + 2*c**2. Is m(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 10*g**2 + 9)*(-5*g + 0*g + 4*g)*(3*g - 3*g - 4*g**2).\nAnswer: -40*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 6:53 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 26376.1\nAnswer: -79128.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 12:41 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, h: 5, z: 2, f: 2, d: 1, u: 5}. What is prob of picking 1 o and 1 h?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023 equal to 792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 6*t**2 + t + 7. Let f be q(6). Let h = -13 + f. Let i(a) = 2 - 7 - 2 - 8 - a. Determine i(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)*u*u**(-5)*(u**(-1\/7))**(-27\/5) assuming u is positive.\nAnswer: u**(-323\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 4. Let o(k) = 29*k + 37. Calculate -o(s) - 6*z(s).\nAnswer: -17*s - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50, 49, 48, 47, 46, 45?\n\"Answer: -o + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005558344 to six decimal places.\nAnswer: 0.005558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 20 = -4*u, 4*i - u + 7 - 26 = 0. Let t(y) = y + 2. Let z be t(-6). Let m = 3 + z. Sort i, -4, m.\nAnswer: -4, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t**3 - 11*t**2 - 20*t - 17. Let g(m) = 2 - 4*m**3 + 7*m + 4*m**2 + 4 + 0. Let u(v) = -18*v**2 - v. Let k be u(-1). What is k*g(p) - 6*h(p)?\nAnswer: 2*p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 18 (b) 5 (c) 1\/6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 61 = 4*g, -3*g - 4*o = 6 - 68. Let y be -3 - ((-46)\/g - 0). Sort 4, 3, y in increasing order.\nAnswer: y, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = 10*g + 120. Sort 0, g, -4, -5.\nAnswer: -5, -4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 20 = -2*l. Let t(r) = -9*r. Is t(l) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1800052 + 0.18. Round j to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-14)*-1*(-8)\/(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*m - 3 - 2*m**2 - 44*m + 19*m as p*m**2 + g + c*m and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 - 102. Let m be (f - 0)\/(-3) + 6291. What is m rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23\/16? (a) -0.41 (b) 0.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 202? (a) 5 (b) 3 (c) 1\/8 (d) 1 (e) 0.4 (f) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*d - 3, -2*u + 4*d - d + 9 = 0. Suppose 0 = -4*b + c + 842, u = 3*c - 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 552636 and 1530.\nAnswer: 2763180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-6))\/((-133)\/297369*-47).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5578125.0209 + 5577841. Let k = -993 - -709. Let w = k - y. Round w to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b8fb4 + 0?\nAnswer: 1b8fb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 529, 2298, 5247, 9376?\n\"Answer: 590*x**2 - x - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3165228 by -396.\nAnswer: -7993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4599211 by -37.\nAnswer: -124303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 - -78.08. Let b = -1.32 - -1.6. Let s = o - b. What is the closest to -1 in 1\/3, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29\/12 + -13\/6. Which is the nearest to 2\/5? (a) h (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*g - 20, -3*g - g = -5*o + 25. Suppose -v - m - 14 = -5*m, m + 7 = -o*v. Let n(k) = k + 1. Give n(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61118)\/(-630) - 102\/(-2295) - (-4)\/(-70)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.64+19249387\nAnswer: 19249385.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j + 3*j**2 + 4 + 0 - 3*j**2 + 12*j**2. Let o be s(-1). Calculate the greatest common divisor of 99 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.4+138152963\nAnswer: 138152978.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155878 divided by -2.\nAnswer: 77939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/77 and -55\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44937, -44980, -45045, -45138, -45265, -45432?\nAnswer: -45645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(931) - (5 + sqrt(931) + sqrt(931)*-3))**2 - ((sqrt(931) + (sqrt(931) - (0 + sqrt(931))))*2)**2).\nAnswer: -210*sqrt(19) + 4684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*f**6 - 2*f**5 + 6*f**4 + 6*f**2 + 38*f?\nAnswer: -840*f**3 - 120*f**2 + 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**3 - 3*b**2 + b + 2. Let l be n(2). Suppose 18 = 5*i - l. Factor -5*k - 5*k + 5*k**2 - i*k + 20.\nAnswer: 5*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, o: 9}. Give prob of picking 2 e.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 1. Let m = 4235 + -4030. Let s(v) = -246*v**2 + 205. Determine m*z(q) - s(q).\nAnswer: 41*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 less than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbbf when four letters picked without replacement from lfxbububfuuuuupu?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10193 - -71375\/7. Suppose k*j**2 + 2\/7 - 2*j = 0. Calculate j.\nAnswer: 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1\/5 (b) 7 (c) 0 (d) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 45a4d0 (base 16) to base 12\nAnswer: 1641380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: cb7 (base 15) to base 7\nAnswer: 11242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by 254.\nAnswer: -41\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 5*g + 2. Let n be o(-5). Suppose 5*d = -b + 62, 0 = 2*d - n*b - 17 - 15. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*(0 + sqrt(832))*3)**2 + 1.\nAnswer: 29953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**4\/4 + 5*p**3\/3 + 2*p**2 + 10*p + 89. Determine o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 2:23 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {l: 3, f: 4, b: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009080896 rounded to seven decimal places?\nAnswer: 0.0009081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (61 - 34) - 10 - -14?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2449*t + 67*t**2 - 2442*t + 7663*t - 2772*t.\nAnswer: 67*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 692144 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32948492*c**2 + 45035887 wrt c?\nAnswer: -65896984*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 994136 - 230?\nAnswer: 993906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 + 49 - 15 - 15*s - 18 - 16.\nAnswer: -6*s**2 - 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 15*g**4\/4 + 5*g**3 + 9. What is the third derivative of m(y) wrt y?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -257, -4 in increasing order.\nAnswer: -257, -29, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -0.47649\nAnswer: -4.28841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18*(128\/(-4))\/4. Calculate the greatest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1261 is divided by 127?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29159 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4339987 is divided by 617.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143500 and 421036.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 141727979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 10374364.\nAnswer: 5\/10374364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - 149. Let x = 389 + y. Let m = -154.9929 + x. Round m to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(-1155) - (-3)\/(630\/152).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = z - 21. What is the second derivative of -4*n - 9*n**4 - 7*n**z - 8*n + 4*n wrt n?\nAnswer: -192*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 19*j**2 + 7*j - 66316. Let k(i) = -7*i**2 - 2*i + 22105. Let b(n) = -11*k(n) - 4*o(n). Is b(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3511451 and -4.\nAnswer: -4.3511451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50840 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-33\/5)*m*m**(-3\/8)\/m*m)\/(m*m**(2\/23))**(-18) assuming m is positive.\nAnswer: m**(12503\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2708597 is divided by 3800?\nAnswer: 2997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5*c - 373 + 115, -3*x + 4*c = -387. Calculate the smallest common multiple of (x\/7 - -3) + (-4)\/(-7) and 92.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886008 is divided by 1234?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 4*r**2 + 5*r - 3. Let b be d(-5). Let l(k) = -k**3 - k**2 - 3*k + 5. Let v be l(0). Put 2, -2, b, v in increasing order.\nAnswer: b, -2, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (-33)\/(3 - 2 - 9). What is the closest to 4\/7 in c, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5 + 15. Let p = 53.3 - -15.7. Let m = -69.4 + p. Sort j, m, 0.5 in descending order.\nAnswer: j, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -27200\nAnswer: 136000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 77.8. Let r = 0.4 + l. Which is the closest to -1? (a) r (b) -4 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 - 2.1. Put 4, -1\/8, w in descending order.\nAnswer: 4, w, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-12)*j))*j*j*j**(-10))**3 assuming j is positive.\nAnswer: j**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785916.9 years to decades.\nAnswer: 78591.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 - -10330?\nAnswer: 11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 298*w**7\/21 - w**4\/3 + 91*w**3\/6 + 953*w. Find the third derivative of v(f) wrt f.\nAnswer: 35760*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.18, 0.9, 0.83?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1556727 and 6479.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*r - 22*r - 3995. What is the remainder when 17 is divided by ((-1504)\/r)\/((-4)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*f**4 + 7 - 40*f - 5 - 2 wrt f?\nAnswer: 216*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*-1 - 13\/1. Let f = p - -5. Let r = f + 15. Solve -15 = -5*y, -r*y + y = -j - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1599997 - 0.16. Round m to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 11:24 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/7, 2, -5, 0, -0.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**3 + 75*w**2\/2 - 60*w + 1. What is the least common multiple of k(-12) and 92?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 20 = 0, 5374 + 4820 = b - 3*j. Is 87 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 910.4841 months in millennia?\nAnswer: 0.075873675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 9:11 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 460\/(-210) + (342\/(-42) - -8)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**5 - 4696*a**4 - 26*a**3 + 61024*a**2 + 56352*a = 0.\nAnswer: -3, -1, 0, 4, 2348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5 or 6\/529?\nAnswer: 6\/529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1035 + -57?\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -52, -171, -376, -673, -1068, -1567, -2176, -2901?\n\"Answer: -w**3 - 37*w**2 - w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 2\/11 (c) 75 (d) 3\/7 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (3 - 13) - (0 + (0 - -9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -14951\/7, -21\/4, 0.3, 3\/5, -1\/4?\nAnswer: -14951\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01255 rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -27c?\nAnswer: -27d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeveccvcveevec. Give prob of sequence ecve.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -358860 rounded to the nearest 1000?\nAnswer: -359000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-11)*r**(1\/27)*r assuming r is positive.\nAnswer: r**(352\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14028 and 18?\nAnswer: 42084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10666237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = s + 14. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107.928 - 0.072. Let b = -106.9 - g. Let u = b + 1.9. What is the fourth biggest value in 2, u, -0.4, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(2))\/sqrt(2)*6.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-15)\/(-6) + 1 + -4. What is the nearest to w in -13, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -7044763.\nAnswer: -18\/7044763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1031 + -13303?\nAnswer: -12212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3725 and 441551784?\nAnswer: 441548059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**3 - 2*g**3 + 10*g**3 + (-g - 2*g + 5*g)*(2*g**2 - 2*g + 2*g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/42319 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 627437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-25)\/(-7) + -1. Let r = -30 + 61\/2. What is the nearest to r in p, -0.2, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5050440052 + -3?\nAnswer: -5050440055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -9*s + 43. Let w(t) = t**3 - 12*t**2 - 82*t + 20. Let b be w(-5). Determine u(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from {r: 4, g: 3, q: 2, p: 8, b: 2}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 2. Let s be t(2). What is the smallest common multiple of (-1 - -6)\/(2\/4) and (-94)\/(-6) - 2\/s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/24 and 76\/386595?\nAnswer: 3092760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -66 (b) -9 (c) 322 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10312, 20627, 30942, 41257?\n\"Answer: 10315*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1638 and 71\/1157598.\nAnswer: 8103186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -516156305*v**2 + 4*v + 516156314*v**2 - 2*v.\nAnswer: 9*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20533.4 - -21689.71. Let n = k + -1161. Round n to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65646005?\nAnswer: 5, 13129201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 - 2*q - 3. Let d(g) = -5*g**2 - 2*g - 3. Let x = -500 + 496. Determine x*a(u) + 3*d(u).\nAnswer: u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = -2*g - 5*m, -3*g - 4*m + 9 = 0. Solve -9 = -g*h - 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1490501 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-50))\/((34\/(-6))\/((-1649)\/873))\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100217 to the power of 1\/2, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c - 213 + 492 - 5*c**3 - 279 + 19*c**2 in the form h*c + q*c**2 + t*c**3 + x and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1528*u**2 - 1529*u**2 + 3065*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/5))\/o**(-18))\/(o\/o**(-2\/7)*o*o**15) assuming o is positive.\nAnswer: o**(53\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - g + 1. Let n be 5*(0 + 6\/15). Suppose n*p - 3 = p. Suppose -11 = -p*s + 4*a, -3*a = -s + 4*s + 3. What is o(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h + 1248 = 4*t, -25 = 5*h. Let p = -189 + t. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*j**3 + 1541*j + 105690?\nAnswer: 33*j**2 + 1541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b = 27*b - 203*q - 774, 0 = 3*b - 2*q - 65 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1007141 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 11:14 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - -17. Let u = m - 44.5. Let o = u + 2.55. Round o to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35*(-20)\/(-250)*325\/(-390))\/(3\/9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 1291478983?\nAnswer: -1291478986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4*k)*(-37*k**2 + 7*k + 2484705 - 2484705).\nAnswer: -148*k**3 + 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -338 or -336?\nAnswer: -336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1036\/13 - 9203\/130. What is the common denominator of n and 5\/(100\/(-142))*32\/(-240)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 25*r**2 + 24*r + 53. Calculate g(26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1045 divided by -3\nAnswer: 1045\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**4\/3 - 1888*h**3\/3 + 15053*h**2\/6 - 12223*h\/6 + 470 = 0.\nAnswer: 1\/2, 3, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18357 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, -2, 18, 3 in decreasing order.\nAnswer: 18, 11, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 23*o - 20. Solve 4*t - 2*w = 0, -15*w = -5*t - 13*w + o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-15)*k**(-12))\/(k**(-10)\/(k\/k**(1\/20))))**(-31\/5) assuming k is positive.\nAnswer: k**(9331\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -15?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 181 - 37. Calculate the remainder when 43 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3109441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 3:20 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 91*c**2 - 2*c + 89*c**2 + 0*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 280.768 times 3.321?\nAnswer: 932.430528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 27 - 72 = 0. Let c = -30 + k. Solve -c*j = -5*h - 3 - 0, 4*j + 16 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) -10 (c) -0.3 (d) -5 (e) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13662, 27326, 40978, 54612, 68222?\nAnswer: 81802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -20 + 0 + 247*k - 246*k. Determine a(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 8860*u + 278400.\nAnswer: 5*(u + 32)*(u + 1740)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4034775?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202111201 + 102?\nAnswer: 202112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2364 by 788.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b - 261233 = 31542. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51236, 0, 43 in ascending order.\nAnswer: -51236, 0, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -89575 divided by 6\nAnswer: -89575\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (1300\/(-70))\/2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13904 and 592.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 193\/5 - -2*(-5)\/(-25). Differentiate m + 39*w + 23 - 12 - 8 wrt w.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a - 3*t = -30, -t + 1 = 0. Let w be (1\/(-2))\/(a\/(-54)). Suppose 0 = -5*y + w*r + 2092, 470 - 52 = y - r. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2397*b + 1971*b - 6763*b to the form y + h*b and give h.\nAnswer: -2395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 255403 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 298, 444, 590, 736?\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/13)*v*v\/v**1)**(-3\/22) assuming v is positive.\nAnswer: v**(-15\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 9*f**2 + 8*f + 6. What is i(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 4:16 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvvll. What is prob of picking 3 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 1252303, 11, 0.1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1318, 4939, 10966, 19399?\n\"Answer: 1203*n**2 + 12*n + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -33, -2, 6, 0, 4 in decreasing order.\nAnswer: 6, 4, 0, -2, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14)*(-266)\/(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -760 + 776. Calculate the remainder when 2157 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 50, 1 in increasing order.\nAnswer: -4, -1, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2674.4*-13\nAnswer: 34767.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 - -10.09. Let z = v - 10.0000019. Round z to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1208, 5161, 12490, 23801, 39700, 60793?\n\"Answer: 101*q**3 + 1082*q**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100220111011001 (base 3) to base 15.\nAnswer: 6deeb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*z**3 + 70*z**2 wrt z?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from xswxtsxsxtsxwswst?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:44 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q - 6 - 7*q**2 - 3*q**2 + q**3 - 6*q + 16*q. Let p(z) = -8*z + 105. Let r be p(12). Determine a(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 137405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 4*h**2 - 4*h. Let b(p) = 3*p - 7. Let z be b(4). Let w be x(z). Solve 0 = 4*l - 5*n - 36, w*n = -2*l - 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*l = 6466 + 9014 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -11*m + 17. Suppose 0 = 2*v - 6*v + 68. Let s(l) = 4*l - 6. Let t(q) = v*s(q) + 6*h(q). Let b(o) = 22*o**2 - 4 + 4 - 20*o**2. Calculate b(t(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.5, 13, 1, -153\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cccwcccccccccccccc.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -189 - -211. Suppose 0 = m*o - 13*o - 9. Which is bigger: -47\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -5151813424.96?\nAnswer: -5151813425.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 33 = -4*y. Let m = y - -16. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - z**2 - z + 1. Let y(w) = 11*w**3 - w**2 - 8*w + 1. Let l(s) = -2*s**3 + 2*s + 1. Let u(i) = 3*l(i) + y(i). What is 2*o(d) - u(d)?\nAnswer: -3*d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1292*u**4 + 9*u + u**2 - 432*u**4 - 435*u**4 - 32*u**3 - 427*u**4 as c*u**2 + k*u**4 + n*u**3 + z*u + t and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 - 737*p + 40169. Calculate g(164).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3300102 + -10?\nAnswer: -3300112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2*(-3)\/(-18))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (65\/(-13))\/(-20) + 1198\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.31 + 3.69. Which is the second smallest value? (a) q (b) -0.19 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19.2 and -1.54817?\nAnswer: 29.724864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11442.\nAnswer: 2, 3, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, i: 14}. Give prob of picking 3 i and 1 x.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-9)*-2*4\/40?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 7:07 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3614, -3604, -3586, -3560?\n\"Answer: 4*q**2 - 2*q - 3616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445781263.\nAnswer: 18541, 24043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95114 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(5*s**4 + 0*s**4 - 4*s**4 - 3*s**4 - 3*s**4 - 4*s**4 + 3 - 3 - 8*s**4 + (2*s - 4*s + 0*s)*(3*s**2 - 3*s**2 - 3*s**3)).\nAnswer: 22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50)\/(8\/(-4)) - -1. Suppose q*w + 18 = 32*w. Factor -w*a - 10 + 3*a**2 - 7 - 1.\nAnswer: 3*(a - 3)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9027 and 155052?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/5152 and -51\/4784.\nAnswer: 66976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5709 + 17126\/3. Which is greater: 18\/7 or d?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231735973.\nAnswer: 7, 33105139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - (1 + sqrt(1900))**2) + (sqrt(38)*1 + sqrt(38))\/sqrt(2).\nAnswer: -1901 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -4)*1 - -1. Let t be ((-52)\/12)\/(1\/z). Suppose 5*g = 62 + 263. What is the greatest common divisor of t and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94.6*-337.488.\nAnswer: 31926.3648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.11626 micrograms in kilograms?\nAnswer: 0.00000000511626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g + 12*g + 13*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -157, -233, -339, -475, -641?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17103510?\nAnswer: 2, 3, 5, 59, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3)*(1 - 35\/(-10)). Suppose 10*l + 7 = p*l. Which is smaller: 1\/13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 times 4431440\nAnswer: 930602.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 2*i**3 + 4*i**3)*(i - 5 + 5) + 4 + 2*i**4 - 4 + 2*i**4 + 1 - 1 + (-2*i**2 + 4*i**2 - 4*i**2)*(-1 + 2*i**2 + 1) + 3*i**4 + i**4 - 5*i**4.\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, d: 7, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25124 - 1216?\nAnswer: -26342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*n**3*q - 2*n**3 + 106*n**2 + 2*q wrt q?\nAnswer: 8*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**4*p**(8\/7)\/p)**44*((((p\/((p*p**(2\/5)*p)\/p))\/p)\/p)\/p*(p**0*p)\/p)\/((p*p*p*p*p**(6\/5))\/p**(3\/10)) assuming p is positive.\nAnswer: p**(-9381\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 2*l**2 - 4*l. Let q(t) = -2*t**2 - 3*t. Suppose -16 = -15*f + 11*f. Let p(g) = f*q(g) - 3*b(g). What is the third derivative of p(j) wrt j?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*p + 28*p + 418 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 373292\/(-22512) - -1*3\/12. Let a = f - 2\/1407. Find the common denominator of -95\/16 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = 12. Suppose 0 = -q*m + 8 + 10. Suppose b - y - 237 = 0, -20 = m*y - y. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 316*z + 5586. What is y(21)?\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -8*g**2 + 2*g + 4. Let v(k) = k - 3. Let s be v(7). Let a(f) = 1. Let r(o) = s*a(o) - n(o). Find the second derivative of r(m) wrt m.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/71262 and -109\/2892438?\nAnswer: 309490866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*h**3 + 25*h**3 - 19*h**3 + 0*h + h**3 + 0*h + (0 + 0 - 2*h)*(1 - 1 + 2*h**2))*((0 - 1 + 2)*(-4 + 6 - 4) - 2 - 3 + 3 - 1 - 3 - 1).\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 1, w: 1, h: 2, r: 1, b: 2}. What is prob of sequence rm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b + 120 = -4*m, 3*b = 4*m + 113. Let s = m - -37. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4089*w**2 + 175830*w + 8. Determine u(-43).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -y + 139, 2*y = -2*i - 0*i + 230. Let l = -592 + 745. What is the smallest common multiple of l and y?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*x = 38, -3*x + 2*x - 214 = -5*j. Let w be -2 - (-2)\/((-18)\/(-2547)). Let g = 450 - w. Calculate the remainder when g is divided by j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -29.1.\nAnswer: -29.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39537.95 + 39538. Put -1.38, n, 5 in decreasing order.\nAnswer: 5, n, -1.38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueeeh. Give prob of sequence ehu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) 0.1 (b) -27 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) - 239\/(-4). Suppose i = 2*l + 2*l. Let k = 27 - l. Calculate the remainder when 35 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*q + 23 = 0, -3*a + 13 = -5*a + 3*q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1435\/6 - 239. Sort -1\/5, 0.1, x, 3.8, -3\/8 in ascending order.\nAnswer: -3\/8, -1\/5, 0.1, x, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.33 - 14.33. Let n = l - -13.7. What is the smallest value in -3, 1\/8, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -216 + 219. Solve 3*p = 4*g - 5*g - 1, -g + p + l = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*z = 46, -4*i = -3*z - 100 + 35. Let b(r) = -r**3 + 16*r**2 + 16*r + 20. What is b(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 428 and 0.2.\nAnswer: 85.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2254 = 17*u + 293*u + 12*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10064.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - 4 + 32 - 5)*(-1 + 3 + 0 + (-4 + 6 + 0)*(-5 + 0 + 0)) in the form k*n + w and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j. Let d(u) = -10*u. Let m(r) = -d(r) + 6*s(r). Let b(f) = -4*f. What is m(b(h))?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epmebhj. Give prob of picking 2 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 1.9047.\nAnswer: -5.7141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 33337844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 2*t + 0*t)*(2*t + 5 - 5) - 67*t**2 - 51*t**2 + 21*t**2.\nAnswer: -99*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(136)*-1 + sqrt(136)))\/((sqrt(132)\/sqrt(96))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5 + 2*l**2 + 2 - 141*l + 129*l. List the prime factors of f(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/7 + -4\/35. Let r be (2\/1)\/(1 + -3). Which is smaller: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 348783 and 79125.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42 - 2df5f?\nAnswer: -2df1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1040 and 198640.\nAnswer: 198640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2521095053 to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-6)*((-54)\/(-4))\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65.723 and -5?\nAnswer: 328.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 995 is divided by 938?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*x + 0 + 2\/3*x**3 + 4\/3*x**2 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqbqz. Give prob of sequence zbbz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 6*l + 9. Let i(w) = w**3 - 4*w**2 - 4*w + 2. Let u be i(5). Let k be m(u). Suppose -2*t + 198 = 2*t + b, -k = b. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 1. Let v(y) = 2*y - 10. Let m be v(6). Let t be s(m). Suppose -t*u + 15 = 5*b, -3*u - 1 + 10 = -b. Which is smaller: b or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 9:49 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 4072\/10997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k - 56*k = 41*k - 5895 for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/12, 0, -1\/2, 2.5855?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) + (-22)\/(-6). What is the highest common divisor of 21 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2832052711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 115294, 115292, 115288, 115282, 115274, 115264, 115252?\n\"Answer: -c**2 + c + 115294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1008) - 2*sqrt(1008)))**2 + (sqrt(63)\/(sqrt(27)\/sqrt(3)) - (sqrt(7) - sqrt(28)\/sqrt(4)*-4))**2.\nAnswer: 96*sqrt(7) + 1136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*p = 2568, -5*z = -5*p + 3*p - 3177. List the prime factors of z.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*a + 30. Let j be 2\/a + 3\/15. Solve -3*o - 2*o + 10 = j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3119*r**2 + 1 - 3 - 6243*r**2 - 3 + 3119*r**2.\nAnswer: -5*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from accaeacaccdacyy. What is prob of sequence ed?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 28 (b) 2\/5 (c) 4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114258 = -s + 2*k - 114241, -7*s + 119 = 6*k for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33730 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*n = -5*m + 12, 3*m = -3*n - 12. Suppose m*i = 5*i. Suppose -f + i*f = -3. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 439334677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n. Let g(b) = 1548*b. Give g(d(f)).\nAnswer: -4644*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 56*j - 2181. Let q be b(39). Solve 4*h = 2*d + 10, -2*h - q*d + 7 = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100010 - -11?\nAnswer: 1101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43668.\nAnswer: 2, 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109796 is divided by 95?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1610660 and 17980.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 8*a - 4. Let n(r) = r**2 + 4*r + 6. Let k be n(-2). Suppose -5*u = w + 4*w - 60, 0 = -k*w - 3*u + 28. Give d(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**2*m)\/m)**(-27\/4)\/(m\/(m**10\/m)*(m**(2\/11)*m)\/m) assuming m is positive.\nAnswer: m**(-547\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 3 + o + 3*o**2 - o**3 + 2*o**3. Let h be j(-2). Let f be (-14)\/(-8)*(-24)\/56. Which is the closest to -0.1? (a) f (b) h (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 28 (b) -32 (c) -3\/4 (d) 2\/157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 47 (b) 0 (c) 1\/10 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2355, -2353, -2351, -2349, -2347, -2345?\n\"Answer: 2*a - 2357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p + 50. Let t be r(16). Suppose 4*l = 4*i, -t*i + 5*l - 6 = -3*i. Let b(y) = -21*y**3 - 2*y**2 + 1. Give b(i).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 296281940 divided by 59256388.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 8019?\nAnswer: 8015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/60)\/((-8)\/(-12)). Which is the nearest to m? (a) 5 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 41*q - 99. Let h be a(9). What is the greatest common factor of 96 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.2 + 5. Let n = -461281 + 461281.2000095. Let v = n + t. Round v to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 54*l**2 - 568*l + 63. Give t(63).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 4*t**2 - 3*t + 4. Let j(i) = 7*i + 111. Let s be j(-18). Let f be (-69)\/s + 24\/60. Give w(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 369 (c) -16\/69 (d) 2\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-22608)\/(-96) - -20) + 2\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.18, 17.2 in ascending order.\nAnswer: 0.18, 1\/2, 17.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*g + 5 + 29*g - 11*g - 1 + 11*g**2 to d + y*g**2 + x*g and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 754346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 3*t**2 + 8*t - 3. Let i be n(-5). Suppose i*x = -7 - 0. Is x != 1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*w**3 + 2*w - 45*w**3 + 27*w**3 + w**3 + w - w + 2*w**2 + (4*w**2 - 2*w**2 - 4*w**2)*(w - 6*w + 4*w) to b*w**2 + c + u*w + k*w**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2582 + 2621. Calculate the least common multiple of 78 and t.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230 and 11270.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -326.67 - -323. Let o = 8.67 + k. What is the nearest to -2 in -0.5, 2\/9, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.418248km to micrometers.\nAnswer: 5418248000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431526 (base 12) to base 6.\nAnswer: 34415250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5778000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 9:34 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22 - -19) + 0\/(-2). Let w be (q - -7)*(9\/(-6))\/(-3). Suppose 0 = w*t + 4 + 2, s - 4*t - 73 = 0. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2237 divide 130576732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 11*d = -36. Let s = 28 + d. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r = -24*r - 20. Calculate the lowest common multiple of r and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651515353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozqqozdozqzdz. Give prob of sequence odod.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156) + sqrt(156) + -3*1*sqrt(156)) - -6*sqrt(156)*-1)\/(sqrt(144)\/((sqrt(12) + sqrt(12)*3)*3)).\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -4*y - 10*z, y + 5*z = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -2*g + 7, 4*p - 15 = 2*g - 23 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 4ac31a?\nAnswer: 4ac313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in -1\/4, 2\/5, -4, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) - 41\/(-4). What is the highest common factor of v and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5\/4)\/m)**(-2\/19))**3*(m\/m**(1\/3))**50\/(m**(-1\/2)\/m**0) assuming m is positive.\nAnswer: m**(1969\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 68*h + 30)*(-2 + 0 + 1)*(0 + 3 + 3).\nAnswer: -408*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6*b = 24. Let d = b - -8. Suppose 2*h - 548 = -d*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1747801?\nAnswer: 11, 29, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71617*h**3 + 35807*h**3 + 35813*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197275\/143 + 24\/(-44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {r: 4, a: 5, m: 3, b: 1, f: 1, p: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/12)\/(213\/4))\/((-35)\/(-2100)*50)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -r + 5*r. Suppose 48 = 4*t + u, 3*t - 3*u - 17 - r = 0. Suppose 0 = -4*h + m + t, -3*m = -2*h + 2 + 4. Which is smaller: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4854100 rounded to the nearest one hundred thousand?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102512163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.005 in 2, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 80*g**2 - 83*g + 41. Let f be y(41). Sort 4, -11, f, -3 in ascending order.\nAnswer: -11, -3, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s - s**2 - 4 - 28*s - 2*s**3 + 25*s + 4*s**4 as j + a*s**4 + f*s**3 + g*s + l*s**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17005268, -34010538, -51015808, -68021078, -85026348, -102031618?\n\"Answer: -17005270*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 12 = 2*d + 4*l, -3*d + 4*l + 40 = 0. Let a be (d - (-5 - -4 - -5)) + 2. Calculate the greatest common factor of 70 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106169 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**3 - f**3 - 2*f**3 + (4*f - 4*f + 2*f)*(3*f**2 - 3*f**2 - 2*f**2) + (-4*f + 3*f + 3*f)*(-3*f**2 + 0*f**2 + 5*f**2) + 13*f + 10*f**3 - 13*f.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*f**5*l + 62*f**3*l - 19637*f**2*l - 14*f*l + 2 wrt f?\nAnswer: 600*f**2*l + 372*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 98*t = 11*j + 475, 5 = 2*j + t. Let g(b) = -b**3 + 6*b**2 + 5*b + 2. Let v be g(6). Solve 5*r - 11 = -x, r = j*r - 5*x - v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577851557 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*j**6*r**2 - 3*j**3 + 157*j**2*r**2 wrt j.\nAnswer: -1080*j**3*r**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5855 - 5396. Calculate the least common multiple of j and 15.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 18*f**2 - 40*f - 4. Let n(t) = -47*t**2 + 81*t + 9. What is 5*k(c) + 2*n(c)?\nAnswer: -4*c**2 - 38*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6 and 33\/165 + 606\/(-80)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 878*z**2 + 1320*z**2 + 5*z - 450*z**2 - 5*z + (-z + 2*z - 2*z)*(0 + 2*z + 0).\nAnswer: 1746*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z + 22. Let k be y(9). Is 4190\/k*(2\/5)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 275 - 277, -4*q + 5*a + 9006 = 0. Is q >= 2254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 3303290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g**2. Let p = 17 - 26. Let f = p + 12. Let v(r) = f*r + r - 6*r. What is a(v(o))?\nAnswer: 44*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/4, -0.4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 8*r = 973. Let u = -65 + r. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -17\/3*t**3 - 3\/40*t**5 + 1\/720*t**6 + 27\/16*t**4 + 0*t**2 - 9 + 0*t. Let l(q) be the third derivative of y(q). Factor l(m).\nAnswer: (m - 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from {k: 2, c: 17}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32857 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-1)\/(-3)*10\/(-121*100\/(-440))).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*p - 5 = -0*p, 2*p = -3*l - 1. Let d be (l\/(-2))\/((-1)\/(-6)). Let v = -2.01 + 0.01. What is the third biggest value in v, d, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3 (c) -0.2 (d) -66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 8*r)*(-4 + 4 - 2*r**3) as s*r**3 + y*r**2 + o*r**4 + n + g*r and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -40*x**2 - 3013*x + 6159. Let f(l) = 22*l**2 + 1503*l - 3079. Let z(w) = -9*f(w) - 5*h(w). Solve z(y) = 0.\nAnswer: -771, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 787637610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5150 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14643 (b) 4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1. Let v(w) = 11*w - 6. Let z(b) = 2*b. Let d be 10\/2*(-28 - -29). Let m(q) = d*z(q) - v(q). Determine -6*i(a) + m(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 0*u**4 + 0*u**2 + 0*u**5 - 116\/3*u**3 - 195*u + 0 - 11\/2*u**6. Find the second derivative of j(h) wrt h.\nAnswer: -1980*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14026 - -17200. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d + 18 = -v, -v - 3*d + 10 = 0. Let z be v\/(4\/14)*-4. Suppose 3*m = 2*h + 85, -m = 2*m - 3*h - 87. Which is bigger: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 4) + (2 - -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1395913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) 2 (c) 66 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/15)\/((-2)\/(-28)). Let u = r + -73\/30. Which is greater: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3677 (b) 1592 (c) 1 (d) 0 (e) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 15*t - 13*t. Suppose 5*m = 2*n + 244, 0*m - 5*n - 85 = -t*m. Does 11 divide (2 + m)*3\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2364282 times -366?\nAnswer: 865327212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o**3 + 3*o**2 + 9*o - 1. Let t be h(-2). Let n be 0 + (3 - 5) + -94. Is n at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 3 (c) -0.08 (d) 0.03 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j + 13. Let p = 3 + j. Suppose -2*h = 3*c - 50, -5*c = 5*h - 3*h - 82. Calculate the smallest common multiple of c and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from dgdgggdgggggdg.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wff when three letters picked without replacement from {w: 8, f: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 56408311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 = -5*k + 5*l + 178, 3*k + 2*l - 292 = 0. Is 3\/6*(-2 + k) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 12*p - 162, -3*p = 4*o - 687 + 738 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 - -1957782641905.\nAnswer: 1957782641904.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 6*u + 2. Let q be t(5). Let k(z) = z - 8*z - 2*z**2 + 3 + 6*z + 3*z**2. Let o be k(q). Round o to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 12:37 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r + 84 = 21*r + 12*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 404*a - 401*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20263 is divided by 10131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 9:51 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1096 + 304*a - 181 + 175*a - 193*a + 157*a wrt a?\nAnswer: 443","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 155 = 5*g. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116 + 116.0000162. Round k to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1001 (c) -60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h = -10. Let k(d) = -d + 1. Let a(f) = 0 - 4*f - 3 + 7*f. Give h*a(o) - 4*k(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0344 from -2295932777.\nAnswer: -2295932777.0344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (6\/21 + (-28)\/49). What is w in 25\/7*w**2 - x*w + 9\/7 = 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -55 in decreasing order.\nAnswer: 0, -7, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -18, -28, -3, 55, 3 in ascending order.\nAnswer: -28, -18, -3, 3, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29925472, -29925479, -29925486, -29925493, -29925500, -29925507?\nAnswer: -29925514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 965*y + 11256. Give b(-12).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 358*m**5 - 512*m**2 - 3*m - 11172 wrt m.\nAnswer: 7160*m**3 - 1024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -370679606.7 to the nearest ten thousand.\nAnswer: -370680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -161775 divided by -621\nAnswer: 17975\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*l**4 + 449*l**3 - 3*l**2 - 263810 wrt l.\nAnswer: -12*l**3 + 1347*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-5) - (-9)\/(-15). Suppose -x*o = -4*o - 15. List the prime factors of ((-18)\/o)\/((-3)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-3))\/(5\/(-60)). Let u be 50 + -7 + (-3)\/(-1). Let a = -32 + u. Solve -2*c = -l + a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 11:24 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 463*k + 1. Let s(m) = -2*m. Give f(s(x)).\nAnswer: -926*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17.1? (a) -1\/9 (b) 940\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 633, 636, 655, 696, 765?\n\"Answer: o**3 + 2*o**2 - 10*o + 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 412939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 302\/6145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 12, 6 in ascending order.\nAnswer: -4, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5798426, -11596825, -17395224, -23193623, -28992022?\n\"Answer: -5798399*t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -4*k + 16, 5*k = -d - 31 + 39 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351363 and 19203.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times 53.45?\nAnswer: -1282.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1\/319 (c) 4 (d) 21\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 718559449?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103 - -107. Let p(h) be the first derivative of -3 + 3\/2*h**m + 0*h**2 + 0*h - 2*h**3. What is the third derivative of p(v) wrt v?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + 1. Let a(o) = -2*o**2 - 4*o - 129. Let r(l) = -a(l) + 2*z(l). What is the tens digit of r(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12886 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-15))\/(2\/(-10)))\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 10*j**2 - 9*j + 4. Let g be m(-9). Suppose 21 = 3*w + g*i, 24 = 5*w + 2*i - 11. Solve -4*k = 3*a - 7, -4*a - w = a + 2*k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -13*h**2 + 9*h + 64. Calculate y(-4).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**5\/60 + t**4\/6 + t**3 + 4*t**2. Let s(j) = 2*j**2 + 9*j + 11. Let r(y) = -5*b(y) + 3*s(y). Give r(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 1. Let f = 2 + 0. Let p(k) = 11*k**2 - f*k + 11 + 2*k + 3*k**3 - 8*k. Let l(o) = -22*i(o) - 2*p(o). Find the second derivative of l(x) wrt x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + j + 8*j**2 + 0*j**2 - 3*j**2.\nAnswer: j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67861049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10944 by 38.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 11*u**5 - 215*u**4\/4 - 45*u**3 + 675*u**2\/2 + 540*u - 29. Let i(p) = 0. What is p?\nAnswer: -12\/11, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 17. Let t = v + 11. Does 1 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -50. What is the remainder when z is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(((-1107)\/(-101))\/(-123)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Suppose 3*b - 6*b = 6. Let w(n) = 3 + 2*n**2 + 4*n**2 - 2*n**3 - 4*n**2 + 2*n - 4*n. Let q be w(2). Let m(k) = -4*k - 1. What is b*m(x) + q*t(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*o**3 + 10*o**3 - 18*o**3)*(-4 + 4 + 14) to f*o**2 + y*o + p*o**3 + x and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/23 (b) -10 (c) -2\/5 (d) 3\/5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1912\/(-96) + 20)*14?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 62*u - 26 - u**2 + 33*u - 79*u. Let y be i(14). What is the greatest common divisor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -29346, -3, -2, 3\/7, -3\/5, -0.04?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3 + 293169*i**2 + 11139015*i + 10845847 = 0.\nAnswer: -293131, -37, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-3 - -10) - (333 - 322).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d**3*o - 3*d**3*q - d**3 + 2*d**2 + 37*o*q with respect to q.\nAnswer: -3*d**3 + 37*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*w + 2*w. Suppose n + 2 = w. Factor -i**3 + n*i - i**4 - i + 2*i**2 - i**2.\nAnswer: -i*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50874 + 89117. Is 329 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 6. Let o be 2*(-116)\/(-336) + i. Let h = o + -1\/42. What is the third smallest value in -6, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011239425 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23\/(-14) - (5 - 65\/10). Which is the second smallest value? (a) o (b) 2 (c) -1 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3, -9\/4, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8614 or -8613?\nAnswer: -8613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7738160?\nAnswer: 2, 5, 197, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*j - 65, 3*v - 2*j - 14 - 113 = 0. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30460.29ng to milligrams.\nAnswer: 0.03046029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1\/(-4)*(-13)\/(364\/(-16))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 + 81. Let p(o) be the third derivative of o**4\/12 - o**3\/6 + o**2. Let j be p(u). Solve -j - 1 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 16*s**2 + 19*s + 32. Let o(k) = -31*k**2 - 41*k - 66. Calculate 13*a(z) + 6*o(z).\nAnswer: 22*z**2 + z + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 72\/6 + -14 - 10*-1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76980919 rounded to the nearest one million?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720290 and 4.\nAnswer: 1440580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19708*i - 4 + 4 + 19710*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 6, 4\/9, -17.57, -3?\nAnswer: -17.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3 - 70*o**2 - 7 + 71*o**2. Let z = -5 + 9. Let c be u(z). What is the highest common factor of 48 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 divided by -5\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2 - 2*h + 40 = 0?\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 8*p + 36. Let l(z) = -z + 10. Calculate the remainder when (-3 + -3)*-5*1\/p is divided by l(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 6*p - 6. Let o be (15\/(-6))\/(-5)*-14. Sort -4, p, o in decreasing order.\nAnswer: p, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**5*t*t)\/t**(-3\/8)*t**(-2\/45)\/(((t\/t**(-40)*t*t)\/t)\/t))**(-36) assuming t is positive.\nAnswer: t**(11761\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*f**3 - 2*f**2 + 18*f - 16*f - 72*f**3 - 41*f**4 to m*f**3 + n*f**4 + w + c*f + l*f**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -74, -4, -1, 1, -3, -6 in ascending order.\nAnswer: -74, -6, -4, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and -6885.\nAnswer: -6891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.46 - -0.36. Let p = c - -3. What is the second smallest value in 1\/2, p, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -69, -72, -79?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**5\/9 + 16*b**4\/9 - 64*b**3\/9 + 106*b**2\/9 - 79*b\/9 + 22\/9 = 0.\nAnswer: 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4164)\/(-800) - 4 - (9 - (-2453)\/(-275))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (8 + -11 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(3\/5)*q*q)\/q)**(-4\/11)*(q\/(q\/(q**(-30)*q))*q)\/(q\/q**25))**6 assuming q is positive.\nAnswer: q**(-1512\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 379930, 379931, 379932, 379933?\nAnswer: 379934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2e1d (base 15) to base 3\nAnswer: -111121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = 320*c - 325*c + 5*n, n + 55 = 2*c. Solve -22*j - 4*i = -c*j - 2, j + 1 = -5*i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 385 - 338. Which is bigger: 53 or m?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 680\/6160 + 1\/14\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10117 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r**2 - 5*r. Let u = 1279 + -1284. Let w(j) = j**2 + j. What is u*w(o) - g(o)?\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (3 - 0) - (-3 + -3). What is the nearest to n in -1\/4, 6\/7, 0.5, 4\/3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 take away -0.1338944?\nAnswer: 58.1338944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = 15*l - 601. Let b(o) = -o**3 + 25*o**2 - 42*o - 65. What is the tens digit of b(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603224300.\nAnswer: 2, 5, 7, 307, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**2 + 2*o**2 + o**2. Suppose -3*r + 23 = 2*u, -2*r = -4*r + 3*u + 24. Let x(v) = 21*v - 12*v - r*v - 16*v**2. Determine n(x(l)).\nAnswer: -256*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 13 = -4*p - 7, 3*p + 2*t + 14 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 20 - (87 + -74)) + 2 + 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m. Let w(z) = 16*z - 18. Let o(t) = -9*t + 9. Let n(p) = 5*o(p) + 3*w(p). What is n(d(k))?\nAnswer: -9*k - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 3.3. Let u be 8\/56*(-70)\/20. Which is the smallest value? (a) u (b) -1 (c) j (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -ab79017?\nAnswer: -ab7900a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2848*v**2 + 24*v - 24*v - 2849*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 23. Let c be (-2)\/k*(6 + -3). Suppose -c*f + 64 = 2*u - f, 64 = 2*u - f. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t + 56. Suppose -t = v + v. What are the prime factors of (-2)\/(-8) - v\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12933 - -190?\nAnswer: -12743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -554, -555, -542, -509, -450?\n\"Answer: u**3 + u**2 - 11*u - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 15*s**2 - 32*s + 12. What is the remainder when w(9) is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 150\/11, -0.9, 1.5 in increasing order.\nAnswer: -0.9, 1.5, 150\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1183*p + 57552 = -236*p + 9255 for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 4*k**2 - k + 12. Give w(6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.7 - -8. Let h = -1.3 - j. What is the third smallest value in 5, h, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 45*r - 40*r - 9, 11*z = 5*r - 99. What is n in 1\/11*n**2 + 13\/11*n + r = 0?\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, -3, 0, 1, -1257, -1.\nAnswer: -1257, -3, -1, 0, 1, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**3\/6 + 5*s**2 + 2*s. Let r be p(-7). Which is the biggest value? (a) -3 (b) r (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/836880 and -101\/21256752.\nAnswer: 106283760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54232403, 54232400, 54232395, 54232388, 54232379?\nAnswer: 54232368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 146 - 202. Let d = f + 72. Calculate the greatest common factor of d and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or 18364?\nAnswer: 18364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - (11 + 8) - -37.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120*b**2*g - b + 15*g + 9 wrt b.\nAnswer: 240*b*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 14.01605 centuries?\nAnswer: 1401.605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 10*z - 12*z + 12*z)*(-2 + 2 - 1) to the form m*z + b and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -13. Let w be 177\/(-9) - (2\/g)\/(-2). Let t = 24 + w. Solve s + t = 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*o = o - 36, -3*c + 3*o + 12 = 0. Let w = c + -6. Suppose -5*r + 40 = -4*t, 0*t + w*t = -r - 6. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 164*w - 240*w + 1216 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 0. Suppose -3 = -d + 4. Calculate the least common multiple of l and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbxlhxhhllkxkhhlh. What is prob of picking 1 x, 1 h, and 2 l?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 + -96. Calculate the smallest common multiple of t and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 126795*m + 321. Let h(n) = -1585*n - 4. Determine -642*h(i) - 8*u(i).\nAnswer: 3210*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - l - 2 - 18.\nAnswer: 2*l - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from {t: 6, v: 5, b: 5, r: 2, u: 1, z: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, u: 5, f: 5, a: 3, j: 2}. Give prob of sequence fff.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28824392257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 117\/18)\/((-10)\/(-12))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - -20 - 13) + 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p + 10. Let q(a) = -2*a + 11. Let z(w) = -7*o(w) + 6*q(w). Let v(r) = -1. Let m(b) = 4. Let x(n) = m(n) + 3*v(n). Give 4*x(d) + z(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 1. Let x(g) = 4*g**2 + 10*g + 8. Let z(t) = 3*k(t) + x(t). Let p be z(-8). Let l(b) = b**3 + 5*b**2 + 3*b + 6. Determine l(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 2340.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 163197299?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*l**3 - 303*l**3 + 146*l**3.\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11110 (base 5) to base 4\nAnswer: -30030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1928417848.\nAnswer: 2, 7, 17, 2025649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 5317\/377 + 4370\/2610.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5053*k - 288 = -5065*k. Solve 98*y - 104*y = -k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 304.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 4, 2, 6\/19, 1 in decreasing order.\nAnswer: 4, 2, 1, 6\/19, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -433 - -2?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859*v - 70458 = 8961*v + 218183 + 205581 for v.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 57*b**2 + 4*b - 2. Let y(d) = -284*d**2 - 22*d + 9. Calculate 11*r(p) + 2*y(p).\nAnswer: 59*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6393*g*j**2 + 15*g*j - j**2 - 21*j - 3 wrt j?\nAnswer: -12786*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*c**5*o - 113*c**4 - 2*c**2*o - 26769*c*o wrt c?\nAnswer: -820*c**3*o - 1356*c**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.325 + -25. Let y = -0.67500401 - a. Round y to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 + -149. Let f = -30 - j. What is the smallest common multiple of f and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17652, 17669, 17696, 17739, 17804?\n\"Answer: k**3 - k**2 + 13*k + 17639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*s = -2*z - 330 + 46, -2*z = -3*s + 2*z - 60 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -14774771.4 to the nearest one thousand.\nAnswer: -14775000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 5710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 14*l + 5. Suppose -9 = -3*z, -u - 4*z = -7*z + 10. Let x be -12*((-3)\/12 - u). What is the units digit of n(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 9*n - 11 + n + 2*n - 5*n + (4*n - 4*n - 2*n)*(-3 + 2 + 0) + 0 + 3*n + 0)*(-63*n + 2*n + 12*n).\nAnswer: -588*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5507960 and 0.029?\nAnswer: 5507960.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 0*z - 1\/2*z**2 + 1. Suppose 4*i - l = 3*l - 8, -5*l = 2*i - 31. Give a(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4089\/94027 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30230678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11893, 11480, 10791, 9826, 8585, 7068?\n\"Answer: -138*d**2 + d + 12030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2631 - 2542 + 7836*z**6 - 3*z**2 - 16*z - 9*z**2 + 5181 wrt z.\nAnswer: 940320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 46, 71, 98?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 19*n**2 - 12*n + 5. Is j(6) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/310 and -131\/758808?\nAnswer: 117615240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2588 - -3032. What is the remainder when l is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 187*d**5\/60 + 2*d**4\/3 + 7*d**3\/3 - 2*d**2 + 11. Is l(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**5 + 102*n**4 - 4245*n**3 + 20343256*n?\nAnswer: 40*n**3 + 1224*n**2 - 25470*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w\/w**21))*w**(4\/19)\/w assuming w is positive.\nAnswer: w**(-395\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -28772*y**3 + y**4 - 14*y + 4*y - 8*y + 2 + 28768*y**3 - y**2 as c*y**3 + z*y**4 + r*y + v*y**2 + n and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2772*j = i - 2776*j - 46, 0 = 5*i - 2*j + 163 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -228 + 219. Let m be (((-6480)\/(-25))\/d)\/((-6)\/40). What is the greatest common divisor of 128 and m?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1) + 12\/3. Solve -4*g = 2*p - 4, -q*g = 2*p + p - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.3 - -3.3. Let x = 3 + k. Let r = 3.12 - x. Round r to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0.8 (c) -51.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*a - 3741 + 17357, -5*i = 4*a - 68061. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 412*u**2 + 877*u - 20219. Calculate c(414).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*n**3 + 266*n**2 + 2417*n?\nAnswer: 66*n + 532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 2*t**2 + 3*t + 1. Let z = 146 + -144. Suppose -2*x = -5*r - 0*r + 4, -x + 3*r - z = 0. Determine l(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7499 - 7438 + 9476 = 233*p - 7472 for p.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*i - 5*m, 4*m + 331 = -5*i + 429. Solve 0 = 42*x - 20 - i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 789 or 787?\nAnswer: 787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17111, -17113, -17115, -17117, -17119?\n\"Answer: -2*n - 17109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4594749 by 27.\nAnswer: 1531583\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 543441971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, f: 4, k: 1, r: 4}. What is prob of sequence km?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -9. Solve -s = -4*v + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 18. Suppose -b = -17*o + 16*o. Let z be 1\/1*(2 - 2). Which is greater: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(36)*-2 + sqrt(36))\/(-1*(sqrt(12) + sqrt(3))) + (-4 + sqrt(768) + sqrt(48) - (sqrt(6)\/sqrt(2)*3 - sqrt(3))*3)**2.\nAnswer: -346*sqrt(3)\/3 + 604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*o**4\/7 + 1684*o**3\/7 - 4227*o**2\/7 + 2278*o\/7 - 16\/7 = 0.\nAnswer: -8, 2\/281, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d - 12. Let h be g(12). Let z(l) = 5*l**2 + 2*l + 2. Let s be z(-3). Let v = s - h. Calculate the remainder when 48 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.579 and -79.467.\nAnswer: -78.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/((-37)\/((-24198)\/109))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1177*-1320.\nAnswer: -1553640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*d = -3, -4*x + 4*d + 2 = 10. What is the biggest value in x, 0, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 14*l**2 - 23*l - 5. Let d be m(2). Solve -5*c = 5*b - d, c + 0*b = b - 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2586, -2597, -2616, -2643, -2678?\nAnswer: -2721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - o - 7, o = 5*w + 10 + 15. Let l be 33\/w + 1\/4. What is the units digit of (1*-2)\/(l\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1940908294 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3018.145 centimeters in micrometers?\nAnswer: 30181450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3121127 (base 8) to base 2.\nAnswer: 11001010001001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a - 2*k = -132, -3*a + 34 - 43 = -4*k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 116988 and -1126.\nAnswer: -131728488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 3 + (0 - 0) - -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/2331257 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 + -85. Calculate the smallest common multiple of 6 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 0, 5*s - 4*g - 670 = -8*g. Suppose 2*o - s + 126 = 0. Let d(l) = -l**2 + 7*l + 4. What is the least common multiple of d(6) and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Suppose -q*j = 2*j - 12. Calculate the smallest common multiple of 2 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*w + 4*w + 1 + 8*w**3 - 4 with respect to w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 14*k**2 - 15*k - 5. Let w(a) = -7*a**2 - 8*a - 4*a**3 + 0*a**3 + 3*a**3 - 3. Let o(r) = -3*h(r) + 5*w(r). Is o(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*x = 0, -7*s + 3*s + x = 0. Suppose 5 = 5*i - 3*r - r, 4*r - 20 = s. Let y(g) = -g**2 + 9*g + 1. Let u be y(7). Solve -i*z + u = -0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = -5*s + 299. Suppose 0 = v - 4*h + s, -6*h - 35 = 3*v - h. Let n(p) = -6*p - 5. What are the prime factors of n(v)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 + 7)*(3089121\/(-34) - (0 - 1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3339 = 1352*n - 10181 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -89 - -15620?\nAnswer: 15542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/1172031 and 11\/3034296.\nAnswer: 1040763528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 + -12 + 3424680\/175. What is the greatest common factor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/3))**(-13)\/(b\/(b\/(b\/((b**4\/b*b)\/b))))**44 assuming b is positive.\nAnswer: b**(199\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t - 3*t)*(798037*t**2 - 3634*t + t**3 - 798037*t**2).\nAnswer: -4*t**4 + 14536*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + -83298028?\nAnswer: -83298085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luuluuuuuuullu. Give prob of sequence luu.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 greater than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/460 and 35\/138?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**3 - 11716*b**2 + 8993048*b + 27084480 = 0.\nAnswer: -3560, -3, 634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 1:51 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2557312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 67. Let m = -51\/2 - i. Is -1 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2333444341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (2*sqrt(132)*4)\/(sqrt(12) - (sqrt(12) + -1*sqrt(12)*3 + sqrt(12))))**2.\nAnswer: -177 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 0*w + 0*w**4 - 113\/210*w**7 + 2 + 0*w**5 + 0*w**6 + 234*w**2 - 118\/3*w**3. What is the first derivative of i(l) wrt l?\nAnswer: -452*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4304 + 6?\nAnswer: -4276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (-18 - 0\/3). Calculate the common denominator of b\/(-6)*(-21)\/24 and 1\/(-4) + (-1)\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3032589, 6065188, 9097801, 12130434, 15163093, 18195784?\nAnswer: 21228513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3408*i**2 - 10193*i**2 - 4*i + 7*i + 3395*i**2 + 3386*i**2.\nAnswer: -4*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*r + 269 + 115 = 34 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005123 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 865.127 micrograms to nanograms.\nAnswer: 865127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from {l: 2, d: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-33)\/385*3)\/((-6)\/(-8)))\/((-2)\/21)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 1. Let u(y) = y. Let a(m) = 2 + 2 - 11*m + m**3 + 13*m. Let v(g) = a(g) - 2*u(g). Determine 5*q(r) - v(r).\nAnswer: -6*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 2, r: 1, b: 2, g: 1, f: 1}. Give prob of picking 1 t and 1 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*b = 556 - 77 - 1988 + 1 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*y - 3 = r + 210*y, -r - y = -9. Calculate the highest common divisor of r and 1937.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6 + 6*s**2 - s**3 + 5*s + 2*s**3 - s**2. Let x(m) = -21*m**2 + 16*m + 2. Let n be x(1). Is b(n) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7872302 times 28\nAnswer: -220424456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c - 42 + 10 = -45*c. Let o(l) = 50*l + 2. Calculate o(c).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -54. Let v(l) = -l**2 + 6*l - 3. Let m be v(k). Suppose 0*f - m*f = 8. Let s(b) = -4*b - 6. Give s(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1005 * -48545\nAnswer: 48787725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * -1.39721\nAnswer: 0.2235536","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11098 is divided by 122?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1760.528m to centimeters.\nAnswer: 176052.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2698*y**4 + 2716*y**4 + 4 + 145*y - 11*y**2 + 20*y wrt y?\nAnswer: 216*y**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j**2 - 21*j - 18. Let c be a(-2). Put c, 4, -3, -24 in increasing order.\nAnswer: -24, c, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -5. Let f be (j + 2)\/((-9)\/6). Solve f*q = -4*y + 16, 0 = -7*y + 3*y + 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + g)*(56 - 173 + 3*g**2 + 10).\nAnswer: 3*g**3 - 107*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000048283812 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -207*m*s**2 + 117*m*s + 2 wrt s?\nAnswer: -414*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10752047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 759939 to the power of 1\/2, to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 2*n - 3*n - 1 + n.\nAnswer: -3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + 0)*(8 - 16). Let a = d - 48. Let n be 9 + a + -4 - 3. Solve 5*t + 28 = f, 4*t = 5*t - n*f + 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from {q: 1, u: 2, x: 1, v: 3, b: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 0*o**4 + 12*o**2 + 0*o**3 + 0*o - 1\/5*o**5 + 0. Let g(b) = -b. Determine g(y(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -579. List the prime factors of z.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**3 - 46*j**2 + 55*j - 3. Calculate y(10).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a + 2*a)*(-a**2 - 3*a**2 + 0*a**2) - 4*a**3 - 5*a**3 + 2*a**3 + 4*a**3 + 4*a**2 + 0*a**2 - 3*a**2 - a.\nAnswer: -11*a**3 + a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 y when three letters picked without replacement from {y: 2, o: 2, r: 2, k: 1, q: 1, h: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - m**2 - 1)*(0 + 2 + 0)*(-22827 + 1589*m + 22827).\nAnswer: -3178*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.017 - -2. Let w = 34697.9830054 + -34698. Let p = w - k. What is p rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11931, -13099, -14267, -15435?\nAnswer: -16603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36028?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.57 + -1.97. Put 0, -5, o, -1 in descending order.\nAnswer: 0, o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 4*d + 12. Find the third derivative of -y**2 + 35*y**6 - 7*y**2 - 22*y**6 - d*y**6 wrt y.\nAnswer: 1320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/1 - (-5 - -5). Let j = w - -22. Suppose 275 = -0*q + j*q. What are the prime factors of q?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*x + 22 = -3*r + 95*x, 13*r = -4*x - 86 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -286 - -290. Suppose -w*r - y + 2279997 = 0, 1423826 = 4*r + 5*y - 856159. What is r rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13892*f**3 + 29571*f + 81795903 wrt f?\nAnswer: 41676*f**2 + 29571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 0 - (-90 - (-169 - -98)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.4, -0.03, 0, -29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -480*h**2 + 3*h - 2. Let j be q(6). Let n = -12301 - j. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**4\/4 + 587*c**3\/2 - 85552*c**2 - 346920*c = 0.\nAnswer: -4, 0, 588, 590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9*n - 15 = 0. Let g be n - (5 - 6)\/((-2)\/(-4)). Solve -131*o + 130*o + g = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**5\/2 - 111*p**4\/2 - 279*p**3\/2 + 3699*p**2\/2 - 2673*p = 0.\nAnswer: -33, -9, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 411833, 4, -1\/2?\nAnswer: 411833","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2837692?\nAnswer: 2, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/32 or 0?\nAnswer: -9\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzfzf. What is prob of sequence fzf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + 3*d + 4. Let g(k) be the second derivative of -3*k**4\/4 + 13*k**3\/6 + 8*k**2 + 2174*k. Determine -26*a(n) + 6*g(n).\nAnswer: -2*n**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 199920 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 4)*(-38 + 78 - 38 - 5*h) + 92 - 92 + 25*h.\nAnswer: 50*h - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 3*j + 30. Let a be (j\/(-10))\/(1\/(-15)). Suppose -12 = -a*p + 8*p. Is 13 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2\/3 - 106768*s + 17604620\/3 = 0 for s.\nAnswer: 55, 80021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2241b9b (base 13) to base 14\nAnswer: 1579c12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5209657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**4*(l**(-6)\/l)\/l*(l**0)**16)**(-3\/7) assuming l is positive.\nAnswer: l**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/979335 and -1\/27981.\nAnswer: 979335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5602 - 1879. List the prime factors of k.\nAnswer: 3, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64752405953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**2\/5 + 103053*d\/5 - 3817068\/5 = 0.\nAnswer: -34388, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11*g**2 - 67*g - 1. Let j be r(-6). Let z(m) = -4 + j + 3*m + 6 + 4 - 5*m. Calculate z(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o = 27*o - 912. Let m(r) = -72*r - 84*r + o*r. Let j(p) = p. Calculate m(j(q)).\nAnswer: -42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 7) to base 4\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42252*i**2*o**2 - i**2*o + 7868*i**2 + 420*i*o**2 - 2*i*o - 6*i + 4*o + 2 wrt o.\nAnswer: 84504*i**2 + 840*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -186, -267, -330, -369, -378, -351, -282?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3090\/612 + -5 + (-1)\/6.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = -5*x - 2*s + 267, 0 = -5*x - 5*s + 25. Let w(j) = -6*j**3 + j**2 + 2. Give w(x).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57\/5 of a century?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -35*z**4\/12 - 67*z**2\/2 + 16*z + 1. Find the first derivative of l(d) wrt d.\nAnswer: -70*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = -2*p + 8, -2*p = -5*m + 14. Suppose m*f - 9*f + 25 = 0. Solve -2*b - 3*b - 10 = -5*v, b - f*v = 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2655065\nAnswer: -3\/2655065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26540*s**4*y - 10*s**2 + 159*y wrt s.\nAnswer: -636960*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -10330023112210?\nAnswer: 10330023112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y**(-2\/13)\/y)\/y)\/y*(y\/((y\/y**(4\/9))\/y)*y)\/y)\/(y**(-3\/8)\/y**(2\/21)) assuming y is positive.\nAnswer: y**(-1567\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/12*-2*-94 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277613393?\nAnswer: 569, 487897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 43*m. Let x(u) = 15*u**2. Calculate y(x(o)).\nAnswer: 645*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 8f2?\nAnswer: 8ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + -13. What is the remainder when 146 is divided by m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**2 - 11*t - 15. Give o(-4).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 15276*x\/7 - 29169522\/7.\nAnswer: -2*(x + 3819)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4264 = -239*l + 755 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5054.7547 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2781666639.\nAnswer: 3, 991, 311881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 89303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -383, -750, -1115, -1478, -1839, -2198?\n\"Answer: h**2 - 370*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10990, -11064, -11116, -11134, -11106, -11020, -10864, -10626?\nAnswer: -10294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 12:12 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -2220?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/8 + (-3)\/(-2). Suppose 0 = 2*l + i*m - 1, -4*l - 3*m - 1 = -3*l. Suppose l*g + 2*g - 56 = 0. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 12) to base 5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20 - 0)\/(-4 - 10\/(-5)). Suppose -5*m + 0 = 5, 4*n = 5*m + 25. Which is the second biggest value? (a) 0.5 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39863438 and 0.1.\nAnswer: -3986343.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v + 18. Let y be 2 + (v\/3 - -14). Suppose 0*q + q - y = 0. What is the remainder when q is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2889\/168*2\/3. Let q = 47\/4 - b. Let s = -891 - -897. Sort 4\/5, q, -4, s.\nAnswer: -4, q, 4\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3651 - 77?\nAnswer: -36c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65019 is divided by 253?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 37 - 30 + 59 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 + -228.2. Let i = 17 + n. Which is the closest to i? (a) -4 (b) -5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110 - 1100011100?\nAnswer: -1001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 180\/(-810) + 92\/90\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23670 and 19988.\nAnswer: 899460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 195\/18 - (29 + -18). Which is the second biggest value? (a) 0.1 (b) o (c) 86\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1811073)\/804980 - 3\/4*-3. Which is bigger: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 360 = 5*t. Calculate the greatest common factor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 10. Let r be g(-8). Suppose -2*p = -r*m + 2*p + 12, -5 = -5*p. Suppose 0 = 2*k - 4*d + d - m, -5*k + d + 46 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 24. Is 16\/(-12) - 138\/h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -949941906 divided by -2?\nAnswer: 474970953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1611 = 407. Suppose 5*g = -5*s + 285, -5*s + 4*g - 43 = -f. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 655*u = 309*u + 314*u + 416 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1010 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y + 12. Let l(t) = 2*t + 12. Let i(h) = 3*l(h) - 4*n(h). Let s be i(-8). Solve -4*b - s*p = -0*b - 12, -2*b - 2 = -2*p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - g + 272. Is ((-14)\/(-8))\/(8 + -9)*g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 2:11 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(21)*1)\/(sqrt(84)\/(1*sqrt(12))) + 6*(sqrt(243) + (sqrt(243) + 0 - sqrt(243))**2*3).\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/73860 - -2252773\/3175980. Find the common denominator of j and (26\/4)\/((-140)\/120).\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10344 is divided by 2066.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 + c**2 - 14*c + 3. Let n(m) = m**3 + 4*m**2 - 104*m - 492. Let t be n(-5). What is z(t)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50.888 + 51. Round b to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.56 - 1.06. Which is the closest to -1? (a) -1 (b) 4 (c) z (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/1)\/1 - -1. Suppose i*a - u = 4*a - 9, u - 3 = 0. Suppose a*j = -2*y + 20, -4*j + j + 35 = -y. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 + 0.71. Let d = o + 0. Let c = -0.5 + d. What is the closest to -2\/5 in c, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 4. Let g(c) = -c - 8. Calculate 5*g(b) + 2*l(b).\nAnswer: -3*b - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1189a + 1?\nAnswer: -11899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**3)\/y*y**14*(y**(1\/4))**47 assuming y is positive.\nAnswer: y**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05056602 + -0.0506. What is o rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 3*z + 161. What is v(0)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/(1862\/1235)*4\/10\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -0.051.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2.1. Let w = -1.4974 - 0.5026. What is the closest to q in w, -1, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/2)\/(-3 + (-423)\/(-138)). Suppose -5*o = -53 - h. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -70?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 - 4*o**2 + o**2)*(0 + 3 + 3)*(2*o**2 - o + o) to q*o**2 + b + j*o**3 + t*o**4 + i*o and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 8 = 8*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 7 - 1 = -2*n, -2*n - 2*m + 8 = 0. Does 10 divide n\/(8\/62) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 + -94. Let u(k) = 4*k**3 + 5*k**2 - 7*k + 1. Is u(b) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/76131620 and -81\/49340.\nAnswer: 76131620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {z: 1, s: 5, p: 2, l: 1, e: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 - 3*s**2 + s**2 + (-2*s**2 + 3*s - 3*s)*(-1 + 6 + 1) + 4*s**2 + 0*s**2 - s**2 as n*s**2 + g*s + z and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 9 = 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:42 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -4, -6\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/(-5))\/(-15))\/(((-88)\/(-680))\/(-11))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z - 13. Let u(t) = 10*t + 27. Let q(c) = -5*s(c) - 2*u(c). Let f(x) = 185*x - 376*x - 203 + 188*x + 196. Let g = -3 + 8. What is g*q(y) + 8*f(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 978 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x = 10*x + 240 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1 - 3*c + 2*c + 3*c**2 - 4*c**2. Let u be v(0). What is the units digit of u\/(-2)*-7*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 3*n + 51963 = -20*o, 0 = 5*o + n + 86599. Round o to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -4, 51 in descending order.\nAnswer: 51, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 12:42 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9\/6*70\/(-21) + 759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8934796*b**3 - 2*b**2 + 34690190*b wrt b.\nAnswer: 53608776*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16\/13 + -60\/91. Let d = -204 - -215.3. Let r = d + -11. Which is the biggest value? (a) x (b) r (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 2*t - 3. Let m be (92\/(-6))\/((-4)\/42). Suppose -2*h - 31 = -4*j - m, j = -h + 59. Calculate the remainder when h is divided by n(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from toptttypypogttpo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462831952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 168 = f. Let r = f - 12. What is the derivative of 15 - r*w + 6*w - 9*w wrt w?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {s: 1, z: 1, m: 4, x: 2, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(44)\/sqrt(4)*-2.\nAnswer: -4*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-11)*-1*2\/(-81). Is f equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + q + 1. Let x(u) = 3*u**2 - 3*u - 2. Let a(o) = -2*j(o) - x(o). Suppose a(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*j - 147*j = -3*t + 451, 446 = 3*t + 4*j. Let l = 0.7 + -0.8. Which is the third biggest value? (a) -3 (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*m + 48 = -360 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhlx when four letters picked without replacement from plabhhxpl.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3120 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q + 6826. Let v = q - -30667\/9. What is the common denominator of v and -18\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13748 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 649308 divided by -1\nAnswer: -649308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t + t)*(1 - 1 + 1) + 4 - 4 - 5*t + (305 - 537 - 445)*(3*t - 4*t + 2*t).\nAnswer: -683*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -177, -414, -709, -1068, -1497, -2002, -2589, -3264?\n\"Answer: -v**3 - 23*v**2 - 161*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s + 5. Let r = -3 - -4. Let n(v) = 2 + r + 3*v + 1. Let l(u) = -4*j(u) + 6*n(u). What is the derivative of l(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13165 and 5160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94279257 and 492347231?\nAnswer: 4431125079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*o**2 + 7*o**2 - 7*o**2 + 4*o - 5*o to the form d + t*o + p*o**2 and give p.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2))**(-2\/49)\/(s\/s**0*s\/s**(-7)) assuming s is positive.\nAnswer: s**(-440\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 - 84 = 3*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Suppose -2*m + 0*j + 3*j + 26 = 0, -4 = -m - h*j. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80880 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5 + 0*d**2 - d**2 + 9*d - 2 + 5. Calculate the lowest common multiple of 6 and w(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2626301?\nAnswer: 23, 89, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398035 = -43*h + 347284. What is the thousands digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3*p = -17, -3*i + i = -5*p + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 3, -2\/11, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 64, 134, 168, 160, 104, -6?\n\"Answer: -t**3 - 12*t**2 + 113*t - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*j = -304, -6*g + j - 1223 = -10*g. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/22 and 12\/23.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -61976\/9, 2\/7, -1\/5, 2\/9, 4, 5?\nAnswer: -61976\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 - (0 - (-3 + 1))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 4*x + 20, -q + 8*x = 13*x + 21 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p - 1. Let j(g) = 57*g**2 - 50*g + 3. Let t(q) = -j(q) - 3*y(q). What is the second derivative of t(l) wrt l?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 14*n + 0 - 1\/2*n**2 = 0.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (9 + 10 + -3 + -10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157720 is divided by 238?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -231*t**2 + 32*t + 310. Calculate a(0).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-2)*9\/9. Let z be 0 + 1 - (-17 - -1). Let d = z + u. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78628201?\nAnswer: 41, 107, 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 102\/(-170) - (-23)\/5. Let l = 3 + 0. Let n be (l - 2) + v + -2. Solve 0 = -5*d + 5*z - 30, -4*d + z - n = 4*z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -11. Let v(d) = 4*d - 52. Suppose 0 = 26*g - 33*g + 98. Let w be v(g). Solve 4*j = -5*q - w, -5*j - 1 = y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -33*k**5\/5 + 12*k**2 + 9. Find the second derivative of f(p) wrt p.\nAnswer: -396*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1136 or 3?\nAnswer: -1136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - h**2 + 0 + (-2*h + 3 + h + 0*h)*(-4*h + 5*h - 4*h) - 1 - 26*h**2 + 3 - h**2 to the form a*h + w + f*h**2 and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.04, 1, 2\/127, -73?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-1080) + 12 + 24288\/(-324)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16365968713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.187 + 1.18695229. What is u rounded to six decimal places?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 3)\/(-7)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4683 - 4689. Sort -1, f, -0.5, -3\/11, 0.2.\nAnswer: f, -1, -0.5, -3\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1054, -744, -438, -136, 162?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*m**4\/7 + 9694*m**3\/7 - 336588*m**2 + 3283456*m\/7 - 937024\/7 = 0. Calculate m.\nAnswer: 2\/5, 1, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 129*i + 215*i - 45*i + 8.\nAnswer: 299*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155 + 1861\/12. Let k(u) be the first derivative of -1 - 2\/9*u**6 + 0*u**2 + 0*u**3 + 0*u - 1\/3*u**5 - w*u**4. What is v in k(v) = 0?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/417 and (-17)\/24 + (-5 - -11) - 1.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h. Let g = -5 - -10. Let y be (1*(2 - h))\/g. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 7. Determine n(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*((sqrt(343) + 0)**2 + -2) - (4*(sqrt(343) + 1) + (sqrt(343) - (((sqrt(343) + -1)*-1 - sqrt(343)) + sqrt(343) - sqrt(343))))**2).\nAnswer: -17838 - 294*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 - 80 = -17*c. Put 1, c, -5 in decreasing order.\nAnswer: 1, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -8*y**3 + 81*y**2 - 17*y - 28. What is d(10)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188773, -377547, -566321?\nAnswer: -755095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8691)\/(-4)*(-68)\/(-51)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.261 - -0.129. Let f = -0.11 - v. Sort f, -0.4, 9, -0.3 in descending order.\nAnswer: 9, -0.3, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23725\/4 + 5931. What is the fourth smallest value in o, -5, 19, -0.2, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, o: 1}. What is prob of sequence rrrr?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3*i = 383 - 377, -2*v - 95 = -15*i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -143*u**4\/12 - u. Let l(q) = -15*q + 2*q**2 - 15*q + 31*q - q. Calculate t(l(a)).\nAnswer: -572*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**2 + 0*n**2 + 5*n**2)*(1 - 1 + n**2) + 28*n**4 + 17*n**4 + 3*n**4 to y*n + f + h*n**3 + p*n**2 + s*n**4 and give s.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 40\/3. Let i = -186 + 313. Let x = i + -132. Sort 1, u, x in decreasing order.\nAnswer: 1, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6859?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*k + 3*g**2 - g*k - 45*g - k wrt g.\nAnswer: -4*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 12:20 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-1)\/4 + 1. Let j = -5\/4664 - -398807\/32648. Let t = j - 25\/2. Put f, 1\/8, 3, t in descending order.\nAnswer: 3, f, 1\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/(-4))\/(364\/(-104)). Let g = -2 - -2.01. Let k = 4.01 - g. Put a, k, -0.3 in ascending order.\nAnswer: -0.3, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 312678 or 312675?\nAnswer: 312675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 940 divided by 2\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 - -2.1. Let x = -1\/2 - 3\/10. Let f = 4 + -2. What is the nearest to d in x, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 1173 = 123. What is the common denominator of 285\/j*(6 - 2) and -97\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 3*c + 8. Suppose 0 = 140*x - 145*x + 5. Let g(f) = 1. Calculate x*b(m) - 6*g(m).\nAnswer: m**2 + 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -c102a?\nAnswer: c1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 6:19 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 5.3. Let f = 0.01 + 0.59. Let q = 0.4 + f. Which is the second biggest value? (a) 0.1 (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2 - 358*o + 5404 = 0 for o.\nAnswer: -193, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 1:48 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 839674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -6.89?\nAnswer: 7.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -47. Is (5444\/(-20))\/((-1)\/t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1) + 224 + 0. Let h be 237\/27 - (6 + (-448)\/72). Calculate the greatest common factor of r and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**4\/12 - 333*f. Let p(s) = 3*s - 69. Give q(p(v)).\nAnswer: -9*v**2 + 414*v - 4761","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-30))\/p*p**(2\/25) assuming p is positive.\nAnswer: p**(752\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - ((-1 - -28) + -18 - 9 - -4).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -210 divided by -7\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-4)\/20 + 19239\/795.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2)\/((-93)\/(-186)) + 16\/(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**4\/4 + 32265*i**3\/2 - 69369720*i**2 + 99244558720*i + 597968148480 = 0?\nAnswer: -6, 4304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 31 = 174. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44465740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvbdvkdvk. Give prob of picking 1 v and 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 0 - (-18 + 10). Sort d, 1, -3 in decreasing order.\nAnswer: d, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1408)*2 - sqrt(1408)))\/(sqrt(18)\/(1*sqrt(324) + sqrt(324))).\nAnswer: 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 3*v + 0*v)*(0 - 3 + 2) + 39*v - 86 + 86 + v - 3 + 3 in the form h*v + y and give h.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*g + 64*g + 6360 = 0. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 11\/8, 2\/11, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 7. Let y be r(5). Suppose 5*s = s + y. Let h(l) = l**2 + 4*l - 3. List the prime factors of h(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*d - 1)*(-2*d - 4*d + 3*d) - d**2 - d + d + (2*d + 1 - 1)*(2*d - 1 + 1) - 5*d**2 + 2*d**2 + 4*d**2 + 10*d**2 + d**2 - 3*d**2.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1537*p**2 + 7681*p - 3. Give k(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -18.8.\nAnswer: -169.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 646520 and 240.\nAnswer: 3879120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 28 = 5*x. Calculate the highest common divisor of 40 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154158 is divided by 5315.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 12.3223423798.\nAnswer: 16.3223423798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/4*28\/(-14). Calculate the highest common factor of 28 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 194.27688 to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 13*m - 26. Let j be i(10). Suppose 20 = -5*v, 4*o + v + j*v - 24 = 0. Solve 4*c = -w + 11, 5*w - 2*c = -0*w - o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -230, -294, -392, -536, -738, -1010, -1364?\nAnswer: -1812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 22. Calculate j(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19805)\/(-42840) - 22\/1232?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 + 2241746*m\/3 + 6725236\/9.\nAnswer: 2*(m + 1)*(m + 3362618)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*((0*s + 3*s**3 + 0*s)*(2*s**2 + 0*s**2 - s**2) - s**5 + s**5 + 2*s**5 + 2*s**5 - s**4 + s**4).\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -469 by -6.\nAnswer: 469\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 3136.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46387, -46381, -46371, -46357, -46339, -46317?\nAnswer: -46291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-5)*40\/(-3). Let y = 11 - n. Let a(c) = c + 7. What is a(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380*u**3 - 488*u**3 - 414*u**3.\nAnswer: -522*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 214986098363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 11 = j + 3, 4*j = -4*d - 36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/159 and 1\/1164?\nAnswer: 61692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 10:26 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t**2 + 52*t - 44. Let z(k) = 7*k**2 + 38*k + 12. Let y be z(-5). Let p(x) = -65*x**2 + 415*x - 350. Let m(q) = y*p(q) + 25*n(q). Factor m(j).\nAnswer: -5*(j - 10)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 2. Suppose -22 = -5*p - 57. Let d = 11 - 13. Let i(w) = 3*w - 7. What is d*i(l) + p*q(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 4:31 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 79\/5, -3, -0.04 in increasing order.\nAnswer: -3, -0.04, 79\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 720\/54 + -15 - 29\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6301 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 667.9309 meters to kilometers.\nAnswer: 0.6679309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 489, 1324, 2731, 4722, 7309?\n\"Answer: 2*y**3 + 274*y**2 - y + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5762, -22456, -50120, -88754, -138358, -198932, -270476?\n\"Answer: -5485*v**2 - 239*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -339 + 587. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99512.\nAnswer: 2, 7, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15760 * -0.5\nAnswer: -7880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 10) to base 16.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(((-42)\/6)\/77). Solve -58 = -9*y - b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/10)\/(2\/10). Let v = -26 + 14. Let h be (-2 + (-33)\/v)*-4. Sort h, 2, b in decreasing order.\nAnswer: 2, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from wnn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -997*-1.411\nAnswer: 1406.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2892 and 8.7549.\nAnswer: -2883.2451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**3 - 13*g**2 - 2*g - 5. Let z be i(-2). Solve -z*h - 11 = t, 0 = -4*t - 0*h - h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02535 times 61.058?\nAnswer: -1.5478203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 3*l**4\/16 + 5*l**3\/4 + 3*l**2\/4 - 6*l - 101. Suppose c(z) = 0. Calculate z.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 7*g + 4*g**2 - 5*g - 6*g**2 + 9 - 12*g. Let k(y) = -2*y - 5. Determine -9*k(v) + 4*r(v).\nAnswer: 2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -967\/5 (b) 10 (c) 2 (d) -1\/2 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjpp when four letters picked without replacement from jjpjjjjjppp.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2105232482.\nAnswer: 2, 5641, 186601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 17*x. Let d(a) = -242*a**2 - a. What is d(v(b))?\nAnswer: -69938*b**2 - 17*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -0.5 (b) -34 (c) 3\/2 (d) -65\/7 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 - -50411?\nAnswer: 50440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*q = -5 + 21, 3*q = -3*g + 12. Suppose p + 6069 = 5*d, -g*d - p + 4860 = 3*p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3261, -3157, -2979, -2721, -2377, -1941?\n\"Answer: h**3 + 31*h**2 + 4*h - 3297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -5*u**2 - 7*u - 10. Differentiate p(o) with respect to o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.6, 850?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20440965 at most as big as 102204823\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 42*a - 2472. What is w(59)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-11614)\/8 - (-3)\/12. Let s = 2816 - h. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71258407?\nAnswer: 11, 17, 381061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000298202 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -11*n**5\/30 - n**4\/24 + 4*n**2 - 224. Let q(z) = 2*z**2. Determine q(g(a)).\nAnswer: 968*a**4 + 88*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 390, 565, 726, 873, 1006?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158113 is divided by 15811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1223031 - -2.062?\nAnswer: -1223028.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 23*x + 17. What is h(-24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3 + 1 + h - 53*h**3 + 59*h**3 - h**2. What is the smallest common multiple of n(2) and 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 2*m**3 + 5*m**3 + (2*m - m + 0*m)*(m**2 + 0*m**2 + m**2) + 4*m**3 + 0*m**3 - 2*m**3)*(0*m**2 + 2*m**2 - m**2).\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9988, -19957, -29926?\nAnswer: -39895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13113230 + 321301?\nAnswer: 20101131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 954a52 (base 13) in base 7?\nAnswer: 41464316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1235 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*151\/(-2)*(-5 + 31). Suppose 12*w - 12519 = d. List the prime factors of w.\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 25 = -2*z. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, b: 3}. What is prob of sequence vbv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 488624 to the power of 1\/2, to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u + 3914 = 132*u. Calculate the remainder when u is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(13) - sqrt(13)) + ((sqrt(130)*2)\/sqrt(10))**2 + 5*(1 + sqrt(13)*1)**2*-5.\nAnswer: -301 - 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1784840 by 20.\nAnswer: -89242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/9 - 5*d**2\/9 + 2*d\/9.\nAnswer: d*(d - 2)*(2*d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30030 - -1444232?\nAnswer: 1414202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 14 - 18 - 62 + 17*u. Let g(s) = -8*s + 33. Let o(w) = -3*d(w) - 7*g(w). Let t be o(8). Solve -4*f + 7 = v, 2*v + 13 = -2*f + t*v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 9 = -9*q - 3*v, 0 = q + 5*v - 9. Solve -8*m + q*m + 16 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/3 and 18\/16529.\nAnswer: 49587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -4) + 19 + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*i**3 + 4*i**2 - 3?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 45*d + 17. Let y be a(-23). What is the second derivative of -3623*q**4 + y*q**5 - 2 - 40*q + 3623*q**4 wrt q?\nAnswer: 800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 - -1019\/9. Which is the second smallest value? (a) 6 (b) w (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 684 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.4519 and 270061?\nAnswer: 270054.5481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x + 0*x + 2*x)*(x - x + 1 + 3*x).\nAnswer: 21*x**2 + 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 17*n + 38. Let b(h) = 15*h + 38. Determine 7*b(l) - 6*i(l).\nAnswer: 3*l + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/4)*z*z**12)**(-1\/16) assuming z is positive.\nAnswer: z**(-55\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 20 - (-6 - 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-2)\/(-2 + 3). Suppose -2*f + 5*f - 6 = 0. Suppose -5 + f*k**2 + n*k**3 + 3 + 2*k**3 - 2*k = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1283202*r**3 + 5493390966*r**2 - 13716326*r + 8562.\nAnswer: -2*(r - 4281)*(801*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 377\/4 - 1967\/20. Calculate the common denominator of r and -77\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1536903, 3073813, 4610725, 6147639, 7684555?\n\"Answer: q**2 + 1536907*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*q = 2*q + 4591, 5*q + 25 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.8 - -95.8. Let g = o - 88.8. What is the nearest to 1\/6 in g, 0.5, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117582 - 11*w - 117582.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 19168?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p + 256 = 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2868\/5*h - 1028178\/5 - 2\/5*h**2.\nAnswer: -2*(h - 717)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Let o be 0 - v*(-1)\/2. Suppose -4*z = 5*r - o*r - 48, -5*z + 31 = -r. Solve -2*n + z*n = -20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzuquuz. What is prob of sequence zq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208201 and 2428?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14810051 (base 9) to base 4\nAnswer: -130023221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -45, -1838, 0.2, -0.5, 7\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -724.3 to the nearest 10.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/7*i**3 + 0*i + 0 - 2\/7*i**4 - 6\/7*i**2.\nAnswer: -2*i**2*(i - 3)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-2 - (1 - 4)) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5))**(2\/65)\/((u\/((u\/u**(-7))\/u))\/u**(-11)) assuming u is positive.\nAnswer: u**(-1621\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 452.\nAnswer: 1\/452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 393942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -20*d + 68. Let y(g) = -154*g. Calculate i(y(t)).\nAnswer: 3080*t + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 109\/3, 242704?\nAnswer: 242704","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 4:29 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 + 42*l + 135. Calculate m(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -16376.9 to the nearest one hundred.\nAnswer: -16400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 0. Let v be ((-363)\/(-120) - d)*32241. Let g = v - 4092\/5. Calculate the common denominator of g and 111\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**3 - 5*c**2 + 3*c + 2. Let w = -5 + 7. Let t(g) = 0*g - 1 - 4*g**3 + 2*g**3 + 2 + 2*g - 3*g**w. Give 3*d(m) - 5*t(m).\nAnswer: m**3 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2201 + 8276 = 0. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -2*j + 3*p + 17, 3*p - 9 = 0. What is the greatest common factor of j and 1588?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + -5.03. Let w be 2 + (3 - (0 + 1)). Suppose -5*a - 15 = 2*v + 16, 2*v - w = 2*a. What is the second smallest value in m, v, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -6*g - 2*v + 63, -6*g - 378 = -5*v. Let f be 10 - g\/(-5 - 4). Sort f, -2, -5, -14.\nAnswer: -14, -5, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33113395?\nAnswer: 5, 7, 293, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 70823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i + 21118 - 21118. Let d(h) = 14*h + 21. Let z(n) = 3*n + 4. Let r(u) = -2*d(u) + 11*z(u). Calculate r(f(k)).\nAnswer: 20*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134028 = 1030*b + 1598*b for b.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1178 + 0.079. What is j rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6 - 3 = 0. Let u = -3 - -2. Which is the second smallest value? (a) 4 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0679 - 0.2679. Which is the nearest to 8\/27? (a) q (b) -4\/5 (c) 21\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -49, 2\/15, -0.12, -6, 0.028?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*c - 10*c + 17*c - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 12. Let y be f(-5). What is the highest common factor of y and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3472 and 36022?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1936 and 242081312.\nAnswer: 242081312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -165130000 to the nearest one million.\nAnswer: -165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -44*g - 156. Let r be q(-4). Solve 2*d - 8 = 0, 0*f - 3*f = 5*d - r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18608)\/(-10))\/(63\/1575). Round a to the nearest 1000.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 14*r - 528 = 3*r + 4*r for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:27 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10295*o + 1134 + 247 + 10295*o + 30 - 2*o**3.\nAnswer: -2*o**3 + 1411","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -31*a**4\/12 - 587*a. Let g(h) = 4*h**2 - 3*h. Give g(b(l)).\nAnswer: 3844*l**4 + 93*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 + a**4 + 3*a**4)*(-3 + 8 + 5).\nAnswer: 60*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:33 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 19108754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -14. Let n(b) = b**2 + 14*b + 16. Let k be -2 + (-2 - -13)*(5 - 6). Let x be n(k). Solve 3 = x*h + 3*q, d*q = 5*h - q + 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 122, -10, -3, -4, 6 in descending order.\nAnswer: 122, 6, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5877*g*m**2*u**2 + 30343*g*u**2 - 174156*g*u + 4*g - 7*m**2*u wrt u.\nAnswer: -11754*g*m**2 + 60686*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 305*h + 717. What are the prime factors of j(10)?\nAnswer: 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, -1, 1\/8, 4, -10\/703 in descending order.\nAnswer: 4, 1\/8, -10\/703, -5\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 5:21 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 15) to base 12\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c6 (base 16) to base 6.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2217?\nAnswer: 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6.2, -1, -8, -0.964, 0.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 15*m + 19. Let r be i(-14). Suppose 2*v - r*g = 118, -5*g + 37 = v - 2*g. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003319739 to 5 dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 6*l + 3. Suppose 0*x + 4 = 2*x. Let k = 8 - x. Let q be c(k). Solve -i - 7 = -q*i + z, 4 = 2*i + 2*z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1457*y**2 - 835.\nAnswer: 2914*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6 - -2.4. Which is the third biggest value? (a) 0.2 (b) w (c) 5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*t**4 + 72*t + 114*t - 143*t + 8*t**2 wrt t.\nAnswer: 72*t**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1665, -3438, -5195, -6930, -8637, -10310, -11943, -13530?\n\"Answer: z**3 + 2*z**2 - 1786*z + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -20*h**2 + 2665*h + 2007. Determine v(134).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d - 23*d - 96 = 0. What is the remainder when 126 is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1037036 - -12?\nAnswer: 1037050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**2 - 3*c. Let k(d) = -17*d**2 + 8*d. Let f(h) = -3*k(h) - 8*n(h). Let l(w) be the third derivative of w**5\/60 - 9*w**2. Determine l(f(o)).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -62.65.\nAnswer: 3.1325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 o when four letters picked without replacement from {n: 4, o: 3, b: 1, q: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = -4*i. Suppose -q = -0*q - i. Suppose 2*n + q*n - 12 = 0. Calculate the remainder when 11 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*z - 4. Suppose 0 = 5*l - i - 172, -z*l + 5*l - 24 = -5*i. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 + -78. Is 5 a factor of 2*(-30)\/(-8)*v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0. Let l(n) = -n**3 - 5*n**2 - 3*n + 2. Let f be l(-4). Let r = f - -2. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.48215 hours in milliseconds?\nAnswer: 23335740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3113232332 (base 4) to base 11.\nAnswer: 553995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11454\/293 less than -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 19 + (36 + 38 - 112).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 7159a533?\nAnswer: 7159a536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -306697.5221 rounded to the nearest one hundred?\nAnswer: -306700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7075 + 3901. Let a be (-22)\/(-18) - 1 - t\/54. Let l = a - 18. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1168865 and 43960.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 251951\nAnswer: -100780.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c + 5, i - 4*c + 8 = 0. Let h = 1811 + i. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 8625*m**2 - 2877*m**2 + m - 2877*m**2 - 2880*m**2.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 21847*m + 2359469. Determine d(-108).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 9*d**2 + 14*d + 3. Let b be c(-7). Suppose -133 = q - b*m, -2*m - 7 = -17. What is the second smallest value in 3, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s + 1. Let x be m(-1). Suppose -5 - 5 = -x*d. Solve 6 + d = -2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 21*k**2 - 5*k - 5. Let j = 26 + -29. Is n(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-3 - -8) + -6 - -8 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 11 = 2*w + x, 5*x = w + 23. What is the tens digit of w*31*5\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**5\/120 - p**4\/18 + p**3\/36 + p**2\/2 - 17*p - 4. Factor h(s).\nAnswer: (s - 3)*(s - 2)*(s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1989442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2974370.\nAnswer: 2, 5, 7, 42491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 5*o**2 + 3*o**2)*(2*o - 2*o - 2*o**2) + (7*o - 2*o + 4*o)*(2*o - 2*o + 5*o**3) + 16*o**4 + 4*o - 4*o.\nAnswer: 67*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 441 - 439. Let o(t) be the second derivative of -7\/6*t**3 + 3*t**2 - s*t + 0. Differentiate o(u) wrt u.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77865.31ml in litres?\nAnswer: 77.86531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 16*l**2 - 17*l - 32. Let a(v) = 5*v**3 - 79*v**2 + 86*v + 161. Let i(n) = 2*a(n) + 11*g(n). What are the prime factors of i(16)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27358200 and 6750?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.3? (a) 1\/3 (b) 0.3 (c) 0.029\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-3)\/34*-2). Let x = 16\/3 - z. Let y = -245\/348 - 4\/87. Which is the nearest to x? (a) -0.5 (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 10 = 4. Let c be (9\/b)\/((-1)\/2). Differentiate 2 + 2*a**3 - 2*a**c - a**4 with respect to a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 361 + 362 = -5*u, 4*u - 3*x = 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 56*s - 759. What is i(-23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**10*(k\/k**(1\/8)*k)\/k*k**(-11)\/((k*k**(-1))\/k*k) assuming k is positive.\nAnswer: k**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x*x\/x**(-3\/10))\/x))\/(x**(-2\/75)*x))\/(x*x\/x**6*x)**(4\/13))**29 assuming x is positive.\nAnswer: x**(-19807\/1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrraiiiiiiczzzii. Give prob of sequence aiz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2593 is divided by 921?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472734 a multiple of 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -35\/6*v**3 + 0 + 1\/6*v**4 - 15*v**2 + 12*v. What are the prime factors of y(21)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379117817?\nAnswer: 13, 31, 940739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.02 in 0, 3\/2, 0.4, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10*a - 47. Let y be n(-8). Calculate the highest common divisor of y and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2402 (base 5) in base 7?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/1265 + 1317\/65780. Let t = c + 101\/156. What is the closest to t in -1\/3, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*h*n**2 + 7*f*h*n + 812*f*n**2 - 43*f*n + 18*f - 846*h*n**2 - 2*h*n + 2*h + 7*n + 69 wrt n?\nAnswer: 6*f*h + 1624*f - 1692*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x**2 - 9*x**2 + 20*x**2 as u*x + i + d*x**2 and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) + sqrt(76) + (sqrt(76) - (-2*sqrt(76)*4 + sqrt(76))) - sqrt(76)))\/(sqrt(4) + sqrt(16)*2).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 5350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 11*d - 6. Let q be y(-9). Let m = q + 913. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.449 - 10.449. Let i = -0.1 - -5.1. Sort -1\/8, k, i, 0.3.\nAnswer: -1\/8, 0.3, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-25\/2))\/i**31 assuming i is positive.\nAnswer: i**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 197*l**4\/12 - l**3\/2 + 3*l**2\/2 - 17*l. Is 47 a factor of p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/4795 and 71\/48.\nAnswer: 230160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10362078 divided by -34?\nAnswer: -304767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 - t - 1. Let y(z) = -z**2 + z - 1. Let x(q) = -u(q) - 5*y(q). Suppose 0 = -4*w + 2*w + 8. What are the prime factors of x(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1329 <= -386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 > 21692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iitt when four letters picked without replacement from titttiittiitttii?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7602912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 2*h + 1. What is the remainder when 16 is divided by b(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6830192 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -211 - -210.646. Let u = x - 0.046. What is the second smallest value in 5, 2, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56166255.\nAnswer: 3, 5, 241, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 2*z - 2. Let l be v(3). Let x(y) = y + 1. Let g be x(-4). Let a = g + l. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k - 4, 4 = -z - k. Let y(h) = -6*h - 7. Let g be y(z). Suppose g = -0*s + s. Calculate the remainder when s is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 112*p**2 + p - 84. What is the hundreds digit of s(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, g: 2, w: 1, r: 1, a: 1}. Give prob of sequence wa.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*o + 97 = -259 - 82 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 330*d - 244*d - 168*d - 2 as g*d + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 3, 1, 0.11, -0.11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 5*z + 19. Let b be d(-8). Let n(g) = -g**3 - 5*g**2 + 4*g + 4. Let h be n(b). Let u = h + 15. Are -2\/35 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 667 + -571. Solve -99*x = -d*x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 5*s**5\/4 + 35*s**4\/4 + 95*s**3\/6 + 15*s**2\/2 + 182*s. Factor d(x).\nAnswer: 5*(x + 1)*(x + 3)*(5*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2806778?\nAnswer: 2, 13, 41, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2146\/15 + -143. Let p(l) be the second derivative of -4*l + 0 - o*l**4 + 1\/15*l**3 + 0*l**2 + 1\/50*l**5. What is q in p(q) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1147, -1150, -1153, -1156?\nAnswer: -1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*i = -2*d - 1, -3*d + i = 0. Let u(j) be the second derivative of j**3\/3 - 18*j**2 + 6*j. Let s be u(20). Sort d, -0.5, s.\nAnswer: -0.5, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**8\/168 - s**4\/24 - s**2\/2 - 3. Let x(d) be the second derivative of i(d). What is the second derivative of x(f) wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53828642 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 - -54. Suppose r*o - 11 - 29 = 0. Sort -4, o, -2 in descending order.\nAnswer: o, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - 3*b + b)*(4 - 6 - 4)*(-2*b**2 - b + b) to f*b + a + g*b**2 + i*b**3 and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15701210, -15701214, -15701218, -15701222, -15701226, -15701230?\nAnswer: -15701234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 263\/(-1) - (-3)\/3. Let j = m + 419. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:33 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 9*a. Let q = -14 - -29. Let k be ((-2)\/55)\/(1\/q). Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000303946999 to six decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -52 - 6*d**3 + 23*d - 15*d**2 + 5*d**3 - 9*d**2 + 5. Let u be w(-25). Find the second derivative of 28*p + 17*p + 8*p**4 - 7*p + u*p**4 wrt p.\nAnswer: 132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 3*z - 5. Suppose -5*b = -a + 9 + 5, 3*b = 4*a + 12. Let y(u) = -9*u**2 - 11*u + 2*u + 14 + 12*u**2. Give a*y(m) - 17*q(m).\nAnswer: -m**2 + 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 4.2 (c) 5\/4 (d) 1.2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4798 + -3?\nAnswer: -479b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((400\/(-32))\/(-25))\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179938956?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -11*s + 8. Let r(l) = -141*l + 108. Let p(n) = 27*f(n) - 2*r(n). Give p(-5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*w + 52*w - 111*w)*(19*w**4 + 18*w**4 + 2*w**3 - 2*w**3).\nAnswer: -370*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d = -44. Let j = d + -14. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15067644?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a decade?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + 2*m**5 + m**5 + (-m**2 - m + m)*(-3 - 2*m**3 + 3) + 2 - 2 + m**5 + 2*m**5 + 0 + 0 - 3 - m**5 + 3 - 40*m - 8*m**5 + 40*m.\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 12:58 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 702 and 13429368?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -7 - (-5 + 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w*w**(-1\/14)\/w*(w*(w*w**(-1\/6)*w*w)\/w*w)\/w*(w**(-1\/2)*w)**16 assuming w is positive.\nAnswer: w**(268\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (129\/(-6) + 11 + 10)*(464\/(-10))\/4?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1 (c) 147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.028, -255, -25, -4?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1033900 divided by -7.\nAnswer: 147700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 78, 174, 288, 420, 570, 738, 924?\n\"Answer: 9*y**2 + 69*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 1901.\nAnswer: -3802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -226048 > -221000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -1\/9*n**5 + 14\/9*n**3 - 46\/3*n**2 + 75 + 7\/9*n**4 - 5*n = 0.\nAnswer: -3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264002 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.77621 minutes in microseconds?\nAnswer: 3406572600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**6\/3 - y**4 + y**2 - 10. Solve l(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2 + 1. Suppose -48 = -2*i - 40. Let o be f(i). Suppose 6*n = 2*n + 2*w + 106, 3*n - w = o. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15412 and 136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 5.241?\nAnswer: -8.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000255 rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/1165 - 24361\/30290. Let r = -100\/13 + y. What is the common denominator of r and 31\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*s + 5*s - 824, -5*s - 3*u + 2068 = 0. Let b be (3 - -3)\/((-1)\/(-138)). Suppose 0 = -r - x + s, -2*r + 6*x = 4*x - b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -1279.\nAnswer: 639.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugq when three letters picked without replacement from dqvwqgdu?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -27*j**5 - j**4 + j**3 + 3*j + 1. Let d(a) = -a**4 + a**3 - a + 1. Let b(w) = -d(w) + o(w). Find the second derivative of b(m) wrt m.\nAnswer: -540*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*l**2 - 4 + 4 as v*l + s + c*l**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2871633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 6*j**2 - 3*j - 5. Let z(o) = o**3 + o**2 - o - 2. Let g be z(2). Let f be g + -3 + (1 - 2). Is w(f) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 + 3*o - 3. Let n be t(3). Let u = -16 - n. Let z(v) = -v**2 - 6*v. Let f be z(-6). Sort f, 3, u in descending order.\nAnswer: 3, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/(-713713)*-52)\/(8\/(-124))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*p - 56*p = 0, 2*y = -5*p + 54160. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86553.07 centimeters in kilometers?\nAnswer: 0.8655307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 8:06 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 195 = 10*y. Let i = -39 - y. Let -1\/3*n**3 - 2\/3*n + n**2 + i = 0. Calculate n.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102*p**3 + p**2 - 14*p - 59135 wrt p.\nAnswer: -306*p**2 + 2*p - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a meter in millimeters?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 5:23 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*i - 2 - 8, -2*r = 5*i - 25. Solve 0 = -5*x + 4*m - 5*m + 1, 0 = i*x - 3*m - 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 36. Suppose l + l - 15 = -3*i, i + d*l - 5 = 0. Solve 3*m - 4*j + 6 = 0, -5*j = -3*m - 4 - i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/3 and 22\/36855.\nAnswer: 36855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12651216 + -2?\nAnswer: 12651214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**2\/7 + 34*v\/7 - 228 = 0?\nAnswer: -38, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2588805.\nAnswer: 3, 5, 57529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -725*q**2*y**3 - 5*y**3 - 54*y**2 wrt q.\nAnswer: -1450*q*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -2.87. Let q = 2.5514 - w. What is q rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 10 = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.1, 8, 0, -8\/9, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -22855 divided by 4571\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 3*w**2 - w - 2. Give v(5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 87, 43, -21, -111, -233?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 356*k**2 + 3396*k - 40539. Calculate q(365).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 47*l - 20284 = -42*l, l - 15232 = -3*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 15) to base 14.\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 22*m + 3. Let b be c(2). Determine h so that 20*h**2 - h + b*h**3 - 35*h**3 + 9*h = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97394, -97389, -97380, -97367, -97350, -97329?\nAnswer: -97304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 29 - 19. Let m(z) = z**2 + 2. Let a be m(j). Calculate the highest common factor of a and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 17*v**2 + 33 + 58*v**2.\nAnswer: 41*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 2*w**2 + 5*w + 1. Let v(u) = -4432*u**3 - 292*u**2 + 20*u + 9. Let d(m) = 4*p(m) - v(m). What is the third derivative of d(l) wrt l?\nAnswer: 26568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6327 and 4.\nAnswer: 6331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.331464 - -1.33. Round q to 5 decimal places.\nAnswer: -0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - -5.2. Suppose 1470 = -9*v + 1497. Which is the third biggest value? (a) -1\/3 (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 3, 334 in descending order.\nAnswer: 334, 20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -179422.122 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 17. Let s = 14 - c. Let u(y) = y + s - 12 - 7. What is u(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.13268 and 423189.\nAnswer: 423189.13268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) -1\/3 (c) 258 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 15*a - 11. Let h(i) = -i + 1. Let c(m) = -9*m + 8. Let g(s) = -c(s) + 6*h(s). Let d(b) = 22*g(b) - 4*q(b). Let p(f) = 2*f. What is d(p(x))?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9397*c + 47061. Calculate h(-5).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 632335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2, 4*k - 23*g = -24*g + 14833. Calculate the greatest common factor of k and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 + 4*b**2 + 4. Let x be d(-5). Let v be x\/4 + (-9)\/6. Let m = v + -61. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**3 + 80*i**2 + 41*i**5 + 39*i**5 + 41*i**5 - 167*i**5 + 45*i**5 wrt i?\nAnswer: -60*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2876*p**3 + 11098*p**2 - 468807233*p.\nAnswer: -17256*p + 22196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 5*p + 7. Let l be w(3). Suppose -3*t - 11 + 35 = 0. Let d = 8 - t. Solve d = -4*u - l + 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6*i + 230. What is the greatest common divisor of 322 and i?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (60\/(-210))\/(6\/(-90867)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-14) - 760\/(-140). Solve j*m + 6 = 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927408?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 8:03 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8876 is divided by 192?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 7. Suppose -p = j*p. What is the third derivative of y**5 - y**2 + p*y**5 + 5*y**2 - 5*y**5 wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16256 - 8810. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -m - 0*m. Suppose 0 = -m*t + 72 + 21. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 3) to base 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Let i(a) = -10*a. Let f(t) = 2*i(t) + 18*s(t). Let k(m) = 14191*m - 7089*m - 7090*m. What is k(f(u))?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -114083\nAnswer: -114083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*h - 29, -5*h - b + 24 = -9. Let g(q) = -q**2 + 11*q - 9. What is the tens digit of g(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143 - 142.92. What is the smallest value in b, 20, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1557 is divided by 376.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, 7\/16, 3, -2\/9 in descending order.\nAnswer: 3, 7\/16, -2\/9, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 17535\nAnswer: 227955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 4:08 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d - 10 = 32*d. Solve 2 = 2*y + d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -18 - (258 + -248)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**2 + 6432*f + 104364 with respect to f.\nAnswer: 6*f + 6432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -561 minus -0.445?\nAnswer: -560.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 6 - (-7 + -42 + -11)) + 2?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 276336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 5\/6*p**3 + 11*p**2 - 1\/6*p**4 + 3\/20*p**5 + 0 + 0*p. Is k(2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 2:51 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**42*(m*m*m\/m**0*m)\/m*m**0*(m\/(m*m*m**1*m))\/m**(-5)*m**(-30) assuming m is positive.\nAnswer: m**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 234\/5 (b) 0.1 (c) 833 (d) 2\/3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 3, 4, 11, 7 in ascending order.\nAnswer: 3, 4, 7, 11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjjjwjjyyjowy. What is prob of picking 1 s and 1 y?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*q - 23 + 9, 3*m + 2*q = 24. Suppose 4*s + m = 14. Let w = 5\/19 + -144\/475. Which is greater: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + (-5*(sqrt(162) + -1 + 1 + sqrt(162) + sqrt(162) + sqrt(162)))**2 + -5).\nAnswer: -388782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-25781)\/27305*8\/(-14) + 8\/(-20)\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255707357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n - 3. What is u(-2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 430 - 406. Let s be ((-5)\/(3 - -2))\/((-8)\/r). Solve -3*n + 3 = -s*a, 2*n + 2*a + 33 = -3*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*y + 86, 2*y = 7*n - 2*n + 70. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide ((-49)\/3 - -9)\/((-3)\/207)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/7 of a week in days?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 16*n**2 - 5. Let z(q) = 4*q**2. What is z(j(o))?\nAnswer: 1024*o**4 - 640*o**2 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -28, -0.04, 4, 0.74 in increasing order.\nAnswer: -28, -7, -3, -0.04, 0.74, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36967 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1368094.\nAnswer: 2, 7, 13, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + (-4 - -15)*3\/15?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a\/a**(1\/12))\/a))\/((a**(-2\/15)\/a)\/a))**(-1\/16)\/((a**(-2\/13)*(a**(1\/2)*a)\/a)\/(a**(-1\/3))**(-6\/19)) assuming a is positive.\nAnswer: a**(-89971\/237120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*s - 7*s + 3*i, -5*s = 5*i. Let h be s\/(-12) - 64\/(-6). Let l = -6 + h. Solve -3*d - 19 = -v, -4*d - v - 11 = l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 12, s: 1, k: 5}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*c**2 + 801*c + 2*c**2 - 32*c**2 + 113*c + 62*c**2 in the form q*c + z*c**2 + k and give q.\nAnswer: 914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.8 - -29. What is the closest to -1 in 0, -1\/7, t?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j - 5*n = 25, 4*j + 15 = -3*n. Suppose 3*q + 18 - 24 = j. Factor -1\/2*c + 1\/4 + 1\/4*c**q.\nAnswer: (c - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4672843, 9345690, 14018543, 18691402?\nAnswer: 23364267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1328.7 and -0.1.\nAnswer: -1328.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -5\/7 (c) -10 (d) -0.6 (e) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmmemmemmemz. Give prob of picking 1 z and 1 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2057) + -2 + sqrt(17))**2.\nAnswer: -72*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -96033 * -188\nAnswer: 18054204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 13*d**2 - 2*d - 12*d**2 + d + 6*d**3 in the form y*d**3 + x*d + i + j*d**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5407532181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(5*(-2)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.515835kg to milligrams.\nAnswer: 2515835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 9*o + 32. Let n = -2 + o. Let z be 248521\/35 + n\/(-10). What is z rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((-8)\/(-20))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 77*m**2 - 1032*m + 1754. Give i(-59).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 2*f - 6. Let o(p) = 2*p**2 - 4*p + 0 - 11 - p. Let x(g) = -5*h(g) + 3*o(g). Suppose 0 = -k + 5, 2*j = 6*j + k - 25. Determine x(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2 + 5. Solve 0 = 2*z - r*y - 7, -z - 2 = -4*y - 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -797\/1180 + 23394403\/34643620. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/2)\/(51\/161313) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.3 and 1173330.\nAnswer: 2698659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 1046917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, z: 2, x: 2, t: 4}. What is prob of picking 1 t and 2 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -36. Let v = 47 - -25. What is the second derivative of -y*d - 2*d**3 - v*d**2 + 72*d**2 wrt d?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -23. Suppose 43 = 3*f + 31. Suppose -12 = -f*h + z*u, 0*u - 2*u - 2 = h. Solve -h*r = -2*t + r + 15, r = -4*t - 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398116749553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2 + 9*q - 11. Let k(w) = -2*w**2 - 106 + 4*w + 67 + 34. What is 3*j(s) - 7*k(s)?\nAnswer: 2*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3114638*k**5 - 14832171*k wrt k?\nAnswer: 62292760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -0.06, -14, -3\/2, -2\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 340547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*d + 2*n - 22, 4*d - 5*n - 15 = 0. Let q = -7 + d. Factor -4*m**2 - 140*m**3 + 137*m**q - 2*m**2.\nAnswer: -3*m**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-13))**(1\/8) assuming f is positive.\nAnswer: f**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1910, 5, -1 in descending order.\nAnswer: 1910, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 11691206.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 11:45 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4 - 3148*x**3\/3 - 400664*x**2 - 30126300*x - 29992862\/3 = 0. Calculate x.\nAnswer: -137, -1\/3, 799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5582 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616767 is divided by 85?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 120 - 805*p**3 - 4*p**2 + 1620*p**3 - 814*p**3.\nAnswer: p**3 - 2*p**2 - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 8*m**2 - 6*m - 2. Determine b(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -53331, -53582, -53833, -54084, -54335?\n\"Answer: -251*u - 53080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*o + 4. Suppose -541*x = -538*x - 12. Let m be 13\/x - (-1)\/(-4). Sort m, o, 5 in descending order.\nAnswer: 5, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-5892)\/(-3437)*14\/8))\/(2\/10)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h + 1. Let o be u(-2). What is the units digit of (-4)\/6 + (-69)\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xio when three letters picked without replacement from ixqpmoi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -642 or -639?\nAnswer: -642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4253*k - 4240*k + 65 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79200, -158406, -237616, -316824, -396024?\nAnswer: -475210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2204212 = 5*p - 4*z, 3*p + 3*z = 1653129. Let y = 1281048 - p. What is y rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 968\/9 + 808\/3*i + 10\/9*i**2.\nAnswer: 2*(i + 242)*(5*i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7 + 7 - 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 q, 1 c, and 1 r when four letters picked without replacement from wrrrxrqxxcwqxx.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2724 - 4400?\nAnswer: -1454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 11.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0*m**2 + 1\/21*m**7 - 1\/2*m**3 - 3\/5*m**5 - 2\/3*m**4 + 9*m + 0*m**6 + 0. What is the third derivative of j(x) wrt x?\nAnswer: 120*x**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 5*w**4\/4 - 115*w**3\/3 + 200*w**2 - 380*w - 782. Find a such that z(a) = 0.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*a + 168 = 0, 0 = 3*a - 12. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21.5481897243 and 6?\nAnswer: 15.5481897243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1628839.24 - -1\nAnswer: 1628840.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - (1 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -537*o**3*t**4 - 2*o**3*t**3 - 27*o**3*t - 14*o**2*t wrt t?\nAnswer: -6444*o**3*t**2 - 12*o**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 573317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60830 - -60830. Let f be (3 + 0)*(1 - -1). Let w be 4\/(-14) + 93\/7. Solve 0 = 5*u + 4*t + w, s = u - f*u + 4*t + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6010.\nAnswer: 2, 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5195.30304 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988463625?\nAnswer: 3, 5, 181, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -3*y**2 + y - 8. Give i(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**3 - 12*y**2 + y + 9. Let i(a) = 2*a**3 - a. Let o(g) = 2*i(g) + p(g). Let l(t) = -t**2 - t. Let m(n) = 6*l(n) - o(n). Give m(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2285 - 2285.1. Which is the nearest to -1? (a) 1 (b) -34 (c) o (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 552 divide 27721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 82*w**2 + 179*w - 1005. Is 311 a factor of n(-64)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15931953\/2 at least as big as 7965977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m + 95. What is n(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3609, 36, -3\/8 in descending order.\nAnswer: 36, 1.3609, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6*w + 2*h - 2, 0 = -3*w - 4*h - 8. Solve 0 = w*j + 6 + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 9 - 9)*(3 + 0 + 0)*(5*s - 2*s - s) in the form d*s + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, -4, -45, 6\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1607 - -2682. What are the prime factors of m?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 - 42 + j**4 + j**2 + j - 2*j**4 as a*j**4 + q*j**2 + c*j**3 + u*j + k and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2. Let n(f) be the first derivative of 2*f**3 - 2. Give n(a(t)).\nAnswer: 24*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*r + 29 - 29 + (-3 + 2*r + 3)*(0 + 1 - 2) - 3 + 3 - 2*r to u + o*r and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490414 is divided by 2161.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 1473 = 37*i - 490 + 2730 for i.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -9, -38, -91, -174, -293, -454?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 + 34*c + 77. Give r(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 36024 and -591689770.2.\nAnswer: -591653746.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1090672574 to three decimal places.\nAnswer: -0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51784140?\nAnswer: 2, 3, 5, 29, 29761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*c + 2*c**2 - 3*c**4 + 36*c + 8*c**4 in the form h*c**4 + o*c**2 + y + g*c**3 + n*c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4835457 divided by -737.\nAnswer: 6561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 13*a**2 + 11*a + 14. Let q be p(12). Let h be (3 + q)\/((4\/4)\/1). Let t(k) be the third derivative of -k**4\/24 + k**2. Calculate t(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 7. Let q be 14\/14*((-24)\/2)\/1. Let f be t(q). Which is smaller: f or -18?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24237 to three dps.\nAnswer: -0.242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 9*l + 3*f - 3 = 0, -4*f = -2*l + 10. Suppose -7*g - 5*h + 252 = -6*g, 3*g + l*h = 756. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2713679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*-3*(-2)\/9. Suppose -u + 5*u = -z + 15, -z + 23 = -i*u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4078689673.\nAnswer: 283, 787, 18313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 282043034701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*c - 72594, -2*q - 102*c + 97*c + 72567 = 0. List the prime factors of q.\nAnswer: 3, 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k. Let g(i) = -10690*i. Determine z(g(n)).\nAnswer: 21380*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*n + 616, 4*n - n + o = 611. Let c = 208 - n. Suppose -35 = 4*x - 8*x - 5*k, -4*k = -12. Sort -14, x, c.\nAnswer: -14, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 2*l - 12 + 7)*(0 + 0 + 1) + (-l + 7 - 7 + (-4*l - l + l)*(0 - 1 - 1))*(1 - 3 - 1).\nAnswer: -23*l - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 1 + (1 + 0 + 1)*(0 - 1 - 1) - 5 + 20 - 1)*(18 - 18 + n + (6*n - 3*n - n)*(0 + 6 - 5)) as a*n + i and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 0.1 (b) -3\/2 (c) 0.4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2a2d (base 14) to base 6\nAnswer: 54401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (0 - 13) + -14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) 1\/3 (b) -0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 218198\/65 + -3357. Let p = -4\/13 - j. Let f = -0.07 - 0.23. Put 2\/3, p, f in decreasing order.\nAnswer: 2\/3, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, 38, 3, -650 in ascending order.\nAnswer: -650, -138, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3008933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 8*s - 3. Let x be r(6). Suppose 0 = -3*d + x, 5*c + 6*d - 650 = d. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000395109 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*4)\/(22\/(-88)). Let l be (a\/(-6))\/(20\/30). Suppose 3*z + 1 = -11, -2*r + l = z. What is the remainder when 5 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170561135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 134455821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 10:48 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -28.7. Which is the third biggest value? (a) -2 (b) 2\/5 (c) i (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2464453606 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(30*(-12)\/48)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 3307178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 3*l**2 + 2*l**2)*(2 + 2 - 1)*(52 - 52 + 6*l)*(-9 - 2 + 3).\nAnswer: 144*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o + 41. Let r be b(-23). Sort -1, r, 3, 5 in ascending order.\nAnswer: r, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3099*d**2 + 6195*d**2 + d + 0*d - 3093*d**2 - 13 as g + h*d**2 + u*d and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 2023*i**4\/4 - 255*i**3 + 675*i**2\/14 - i - 581. Let f(s) = 0. What is s?\nAnswer: 15\/119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81205?\nAnswer: 5, 109, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -888, -1476, -2066, -2658?\n\"Answer: -b**2 - 585*b - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660 = b + u + 664, u = -2*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5213 or 5214?\nAnswer: 5214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.8 - -3.9. Let b = 13 - 13. What is the closest to -8\/3 in 2, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915696 divided by -114462?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10579 + -10515. What is the greatest common divisor of 124 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oodrrrrrbbro. What is prob of picking 1 o, 2 r, and 1 b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1135 - -2325. Round n to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 - -5b6996?\nAnswer: 5b697a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 1750 = 2*l. Let c be l\/(-21) + 2\/(-3). Suppose 7*b - 3*b = c. Solve f - 4*f = 3*u - 12, b*f - 5*u = -29 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (135 + -130)*(-18)\/(-110) - 1. Let v(u) = u**3 + u**2. Let t be v(-2). Which is the closest to j? (a) t (b) -5 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9b - -129a4a?\nAnswer: 12999e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 600 and 600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 235*k - 10842. What is d(40)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5*f + t - 7, -13 = -2*t + 7 + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1096, 8390, 28148, 66604, 129992, 224546, 356500?\n\"Answer: 1039*x**3 - 2*x**2 + 27*x + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 144*g**2 + 28*g - 28. Let m(y) = 16*y**2 + 3*y - 3. Let p(j) = 56*m(j) - 6*z(j). Let k be p(-1). Let u = 100 - k. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n + 4*n - 20*n. Let a(m) = m**2. Calculate a(d(i)).\nAnswer: 169*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 12*u. Let o(r) = -2*r - 6. Suppose 11 = 2*m - 1. Let s(q) be the first derivative of q + 1. Let j(y) = m*s(y) + o(y). Determine j(h(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) + 26\/6. Let k be 56 + (8 - (-8)\/(-16)*18). Find the second derivative of -22*y - 117*y**4 + 49*y**4 + k*y**f wrt y.\nAnswer: -156*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 2*f)*(2*f - 1 + 1) - 2*f**2 + 1 - 1 - 18*f**2 + 41*f - 41*f)*(-23*f + 9*f + 6*f)*(9 + 13 - 4).\nAnswer: 3456*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*-3 + -2 + sqrt(833) - (sqrt(833) + sqrt(833) + 1 + -3))**2 + -2.\nAnswer: 13326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 4:53 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*d - 110464 - 38329 = 263491. What is the highest common factor of d and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10\/133 + 3917\/798. Suppose 5*b = -4*v - 1, -6 + 12 = -4*v - 6*b. Are v and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -11. Let i(m) = m**3 + 7*m**2. Let f be i(y). Let n = 20042 - 20040.2. What is the nearest to n in 0.1, 2\/5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -653, -2629, -5929, -10553, -16501, -23773, -32369?\nAnswer: -42289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 5*o - 1 + 14, -3*o - 51 = -3*k. What is the remainder when 39 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/204 and 121\/48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 5*z**4\/2 - 14*z**3\/3 - 14*z + 1. Let b(h) = -2*h**3 + 3*h**2 + 3. Let s = 255 + -258. Give s*f(r) - 14*b(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -27795 + 250. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*w)*(-1822*w**2 + 130*w**2 - 2290*w**2 - 432*w**2 - 921*w**2).\nAnswer: 10670*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 32. Suppose -1 = d - h. Calculate the greatest common divisor of 28 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-32 - (2 - 29))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19.3332 centimeters?\nAnswer: 0.193332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*x + 24 - 4, -2*u - x = -5. Suppose 10 = 3*c - 8*c, -3*m + u*c + 86 = 0. Is m a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1619\/4 or 404?\nAnswer: 1619\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11003*m - 70547 + 427958 = -492*m - 157628 for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*u**2 + 20*u**2 - 39*u**2)*(0 - 6 + 3 - u) in the form i*u**2 + g*u**3 + v + z*u and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(68) + (-1*sqrt(68) - sqrt(68))))\/sqrt(4))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**2 + 2*h - 2. Let u(w) = -2*w**2 + 2*w - 2. Calculate 3*a(j) - 4*u(j).\nAnswer: -j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -87792 + 3?\nAnswer: -87789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 9. Let t(n) = n**2 - 3*n - 2. Calculate the remainder when l is divided by t(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -20324\/174877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cctc when four letters picked without replacement from xxtxtcccxcttxtcxxtt?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2\/5 (c) 2\/9 (d) -728.6 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*s**2 - 18*s**2 + 25*s**2 to o + b*s + t*s**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -299\/10 - -151\/5. Suppose 12 - 7 = -5*t. Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, 1415, 3768, 7065, 11306?\n\"Answer: 472*o**2 - 7*o - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -29?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6150326731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x = 3526 - 3786. Solve 4*s + x*z - 2 = 0, -8 - 11 = -3*s + 5*z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68027674541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.0258, 0.4, 0.7, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(11) - -6*sqrt(44)) + sqrt(11) + sqrt(11))**2 - (2*sqrt(121) + sqrt(121) - sqrt(121))\/sqrt(11) - -5*-5*(sqrt(44))**2).\nAnswer: -2*sqrt(11) + 1375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 76682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2. Let c(m) = 100*m**2 + 1083264*m - 1083264*m. What is a(c(s))?\nAnswer: -20000*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 17\/29 (c) 0.3 (d) -3\/1954\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjfp when four letters picked without replacement from {f: 4, j: 4, p: 7}.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 3*f**2 + 3*f + 4. Let n be q(4). Suppose 17*a - 31 = 37. Solve n = -o + a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 216132993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57493 - -195632. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a - 61. Let r be v(-9). Suppose -2*b + 20 = -7*b. Let i be 1\/b - (-39)\/12. Solve -i*o - r*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a1841 + -865?\nAnswer: -a25a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*v**5 + 4*v**5 - 1 - 2*v**2 - 2*v**3 + 3*v + 3*v**4 + 0 + 9*v**5.\nAnswer: -(v - 1)**4*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37307879 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**5 - 31*a**4 + 561*a**2 wrt a.\nAnswer: -60*a**2 - 744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/((4\/(-1))\/(-4))*4215\/(-1686).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8ad625 (base 14) in base 6?\nAnswer: -245124401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53301 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (0 + 0 - -33)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*x + 55*x = 608. Does 38 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -644.36 - 1.24. Round g to the nearest ten.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65010)\/715 - (-16652)\/181?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 48*c + 48*c. Let r(t) = -20*t**2. Give r(n(h)).\nAnswer: -80*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 9)*(-6 + 204\/36)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -10*z. Let p be q(-1). Let i = p + -6. What is the second derivative of 2*m + 2*m**4 - 2*m**i - m**4 wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5158 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 1\/4, -1\/22283?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76*0.06.\nAnswer: -4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10672, 21322, 31942, 42520, 53044, 63502?\nAnswer: 73882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 0.133341.\nAnswer: -0.266659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 4*b**2 + 3*b**2 + (-1 - 2*b + 1)*(2*b + 3*b - 3*b) - 1 + 1 + b**2 - 74*b + 74*b - 9*b**2)*(-b + b + 11*b**2).\nAnswer: -121*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.7 + 23. Let a = -72 + 101. Let d = -33 + a. Put d, 8, y in ascending order.\nAnswer: d, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*j - j. Suppose 3*h + 2*s - j = 0, -4*s + 13 = -h - 0*h. Suppose -h*r = -2*r - 5. Solve q = -5*p - 14, 2*p + 3*q = r*q + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 156682.\nAnswer: 1\/156682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2. Let u(l) be the first derivative of 173*l**3\/3 + 95. Give u(m(f)).\nAnswer: 173*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 7:46 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*k + 2*k. Suppose -q - q - g = 10, -g + 15 = -3*q. Let a(l) = l**3 + 4*l**2 - 3*l + 10. Let s be a(q). Solve 0 = -s*m - 4*m - k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -22137*q + 14695. Is f(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -31*p - 389. Calculate m(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 29*m**5\/5 + 14*m**3\/3 + 19. Find the third derivative of p(i) wrt i.\nAnswer: 696*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -233924921 and 2.\nAnswer: -233924919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 5*o - 1. Calculate the smallest common multiple of 7 and b(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1.9 (c) -0.4 (d) 12\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 + 111.2. Let d = 4.1 - 0.1. Which is the nearest to t? (a) 2\/7 (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 134*d**5 + 20*d**3 + 168*d**2 + 10. Let w(i) = i**5 + 2*i**3 - i**2 + 1. Let y(g) = -n(g) + 10*w(g). What is the third derivative of y(p) wrt p?\nAnswer: -7440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + 3*sqrt(130))\/sqrt(10) - (-1*sqrt(13) + sqrt(13))**2*-5.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*k - 71*k = 70*k - 38 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*r - 3191 = -286*r + 2925 - 166 for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5818 + 5*j + 14*j - 5822 - 31*j + 9*j + 16*j.\nAnswer: 13*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 144a02 (base 15) to base 14\nAnswer: 1b63c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/((525\/(-56))\/(-15))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 4, 42\/17, -8, -36 in increasing order.\nAnswer: -36, -8, 0, 42\/17, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2065 - 87. Let w be (-1)\/(2\/(-8)*o). Let t = 516\/2959 - w. What is the second biggest value in t, -0.5, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, 20, 17?\n\"Answer: -3*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((14\/14)\/((-11)\/(-264)*6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -5, 12, 117, 24, 8.\nAnswer: -5, -4, 5, 8, 12, 24, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -29*q + 2. What is the units digit of a(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -948, -2223, -4040, -6399?\nAnswer: -9300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/2 + 5 + 0. Suppose 5*g = 4*g + c. Solve 2*x = -g*x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-944\nAnswer: -188.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/19)\/h*h)\/(h**(-16)*h*h*h))**(-49) assuming h is positive.\nAnswer: h**(-12201\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 12*d + 7\/12*d**4 + 2*d**2 - 11 + 0*d**3. Let y(g) be the first derivative of t(g). What is the derivative of y(f) wrt f?\nAnswer: 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 + -2 + (4281 - 4191)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z = 38*z + 3059. Let n = -429 - z. Solve -n = -6*x + 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14983710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86\/7 or -7.185?\nAnswer: -7.185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmbreebe. What is prob of sequence err?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 2*s - 24. Let a be w(6). Sort 4, 5\/2, a, 0.1.\nAnswer: a, 0.1, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-2)\/(2\/(((-201)\/90)\/((-56)\/168)))\nAnswer: -67\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9760 = -3*c - 4*b, -c + 2*c + 3*b = 3250. Suppose -46*r + 25566 = c. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -33 + 177. Let o = z - -29. Find the second derivative of 5*l**2 + 2*l**4 - l - l - o*l**2 wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 77?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-3)*(-24)\/(-16). Let z(b) = -207*b**p - 1 + 207*b**2 + 8*b**3 + 0. Determine z(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*p - 2*n, 5*p + n - 13 = p. Let h(a) = -1 + 0*a**2 - 2 - 3*a**2 + 4*a + 2*a**2. Give h(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -180978 at least as big as -180978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f - 5 - 7*f + 3*f. Let a(b) = b**3 - 22*b**2 - 10*b + 54. Let j be a(21). Let l = j - -591. Let r(m) = 23*m + 14. Determine l*r(x) - 17*p(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = 5*y + 44. Which is smaller: 27 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 496*s**3 - 257*s**3 - 2195*s**3 + (3 - 3 + s)*(-4*s - 2*s**2 + 4*s).\nAnswer: -1958*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 3*d + 3. Let m be j(-3). Suppose 0 = -m*k + 11 + 13. Calculate the remainder when 14 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -11*o - 111. Let v be r(-9). Let h be ((-2)\/(-4))\/((-51)\/v). What is the third biggest value in 5, -5\/6, -14, h?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*((-2 - 2 + 1)*(0*h**2 + 5*h**2 - 4*h**2) - 588 - 2923*h**2 - 1069*h**2 + 588).\nAnswer: -3995*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (720*x**3 - 1369*x**3 + 782*x**3)*(4*x + 3*x - 5*x) - x - 4*x**4 + x to the form i*x**2 + z*x**3 + n*x + p + f*x**4 and give f.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = x - 3, -5*x + 7 = -4*h. Suppose 8*k + 26 = 5*k + 2*i, 0 = 5*k - x*i + 42. Which is bigger: 7 or k?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9564979?\nAnswer: 9564979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18672 by 1145.\nAnswer: 18672\/1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-9))\/((-2)\/(-3))*9. Let o = b + -6. Solve -o*h = 5*g - 6 - 1, 3*h = 3*g - 9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w + 42. Let r be b(-12). Let n = -8 - r. Does 11 divide (-135)\/n*(-12)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11*z**3 + 8*z**2 - 6*z - 33. What are the prime factors of w(6)?\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 + 5) - (0 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 574 divide 1630926864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 243173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 3 + (-9)\/(36\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1418.136 - 1455. What is s rounded to 1 decimal place?\nAnswer: -36.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 228 - 222 + 199*m**3.\nAnswer: 199*m**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1436 is divided by 466?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 937 + -928. Let u(s) = 2 - 3*s**3 + 6*s + 5*s**3 - 9*s**2 - s**3. List the prime factors of u(n).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14064067, -28128123, -42192179, -56256235?\n\"Answer: -14064056*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191 + 271 = 5*r - 5*t, 2*t + 32 = -7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 26*m**3\/3 - 53*m**2\/2 - 2*m + 12. Is v(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*f = -244*f + 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/(-30)*1*(-21)\/(-84))\/((-10)\/(-25))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -18 + 22 + 1 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348671 is divided by 4638.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 3. Suppose -x + 20 = w*x. Suppose 4*n + x + 0 = 4*b, -b - 5*n = -25. Calculate the remainder when b is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n**(-2)\/n)\/n)\/n))**(1\/2)*(n\/(n*n**(2\/9)))**(-28))**12 assuming n is positive.\nAnswer: n**(332\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5676264324 to the power of 1\/2, to the nearest integer?\nAnswer: 75341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*m*v*w - m*v - 2*m*w - 858*v + 1114*w with respect to w.\nAnswer: 6*m*v - 2*m + 1114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 8*i**2 + 6*i + 8. Let a be j(7). Let v(p) = -2*p**2 + 3*p + 2. Let k(w) = -3*w. Let t(x) = 7*x. Let g(z) = 2*k(z) + t(z). Give a*g(c) - v(c).\nAnswer: 2*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 7*i + 8*i - 5*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 15*z**2 + 105*z + 3. Let r be l(-7). Sort 145, -2, r in increasing order.\nAnswer: -2, r, 145","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-47 - -9)*1\/(-2). Let y = -87\/4 + 22. Put y, l, -0.3 in descending order.\nAnswer: l, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 666 and 2775?\nAnswer: 16650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*j + 4, 2*f + j - 16 = 3*j. Suppose 2 = 3*x - 1. Let n be ((-10)\/(-20))\/(x\/f). What is the greatest common divisor of n and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -12*k - 156. Let b be n(-13). Put -8, -7, b, 4 in ascending order.\nAnswer: -8, -7, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + (-3 - 6) - -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2619 = -3*h, 3*w = 6*w + 5*h - 7857. What are the prime factors of w?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b**2 - 60*b + 106. Let i(n) = n**2 - 11*n + 21. Calculate -16*i(r) + 3*t(r).\nAnswer: 2*r**2 - 4*r - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4669390 divided by 5\nAnswer: -933878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5483 and 2.\nAnswer: -5481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 12*s - 25. Let l be t(-14). Suppose 3*h - 4*h + 3 = l*q, -21 = -2*h - q. Calculate the greatest common divisor of h and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.522088 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0.022, 2 in ascending order.\nAnswer: 0.022, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1050 and 1370075.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -22*d**4 - 26*d**3 + 146*d**2 + 42*d - 108 = 0.\nAnswer: -3, -1, 9\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5232*y + 9612. Calculate h(-2).\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-148*v + 133*v + 130*v)*(-1 - 2 - 4) to a*v + x and give a.\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 26 = 26. Let j(x) be the second derivative of 1\/6*x**4 + 0 + 2*x - 2\/3*x**3 + d*x**2. What is the second derivative of j(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -v - 4*g - 5, 17 = 4*v - g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 3*c**2 - c + 2. Let l be s(-3). Suppose 5*j - z - 2*z = 27600009, 5*z = l*j - 27600015. Round j to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**5\/20 + 4*z**4\/3 - 3*z**3 + 4*z**2 - 17*z. Let h be t(-17). What is the highest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -381974 or -381970?\nAnswer: -381974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -14313502425?\nAnswer: 14313502425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 201*j + 21. Let w(u) = -50*u - 6. Calculate -6*q(i) - 22*w(i).\nAnswer: -106*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/2 - -9*(-856)\/(-24). What is the smallest value in s, -0.5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by 2.\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 14*g - 1. Let d be u(6). Let v = d - 22. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Let p be 4\/(-5)*r\/(-2). Suppose 4 = -p*u + 24. Calculate the least common multiple of u and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39596 - 38862.44. Round n to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20053392 divided by 582.\nAnswer: 34456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 2, x: 1, i: 2, w: 1}. Give prob of sequence lw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 214, 1770, 5972, 14134, 27570, 47594, 75520, 112662?\n\"Answer: 219*g**3 + 9*g**2 - 4*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14878 times -90?\nAnswer: -1339020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(5\/(20\/(-3))). Suppose -l - 5*c = -4*l + 124, 2*l - 46 = -i*c. What is the highest common divisor of 22 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83962 = a - 23809. Suppose -c + 3*n = -11, -5*c + 33 = 4*n - 8*n. Suppose -c*w - 6271 + a = 0. What is w rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*b**2 - 33*b**2 + 17*b**2 - 87 - 491 - 212 as n*b**2 + o + a*b and give o.\nAnswer: -790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19)\/96*10 + 2. Let w(s) be the third derivative of 0*s - 1\/480*s**6 + 0*s**3 + c*s**4 + 2*s**2 + 1\/240*s**5 + 0. Factor w(r).\nAnswer: -r*(r - 2)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 16*m - 12*m - 32 = 0, 3*m = -5*h + 24 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32414298 is divided by 2160952?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 11) + 9 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u - 14. What is b(-11)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 709461.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 - -131. Let f be (4\/(-1))\/(2\/(-12)). What is the highest common factor of f and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14410 is divided by 7202.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9*(-18)\/(-891) - 32650\/(-110). What is the highest common divisor of p and 495?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*q - 4460 + 1077 = 0, 0 = -5*b - 5*q + 16795. Does 59 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -66*y - 42. Let o be i(-16). Let a = o + -669. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*v + 92*v - 143 = -171 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/(-6))\/(24\/36*1))\/((-52)\/559)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 + 136906*b**4 + 821400*b**3.\nAnswer: b**3*(b + 6)*(b + 136900)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 23 + 13. Suppose -3*z + 2*i = 5*i - 837, 1345 = j*z - 5*i. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) 1 (c) -2\/5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 - 68*o**2 + 21*o - 46. Calculate v(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24484606457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - 246*a - 3223. Calculate n(-13).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Let m = z + -3. What is the units digit of (m\/(-2))\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(-5*sqrt(119))\/sqrt(7) + (sqrt(153)\/(2*sqrt(9)) - (sqrt(1377) - (sqrt(1377)*-1 + sqrt(1377)))))**2.\nAnswer: 37537\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11039 and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4191*s**2 + 130*s**4 + 4191*s**2 + (0 + 1 - 3)*(2*s**4 - 2*s**4 - 2*s**4) + 0*s**2 + 0*s**2 - 2*s**4 + (2*s**3 - s**3 + 0*s**3)*(-s - 6 + 6).\nAnswer: 131*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a meter in millimeters?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -13 (b) -1\/11 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lil when three letters picked without replacement from {l: 7, i: 1, k: 7, x: 1, w: 2}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 923199203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -1340 + 50. Suppose j = 5*m - 4*m - 3*w, 2*w + 982 = 4*m. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 323, 326, 331, 338, 347, 358?\n\"Answer: h**2 + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -11*q. Let f(x) = 40*x**3 - 3*x**2 + x + 2. Let k be f(-1). Let d be (-88)\/(-14) - (-12)\/k. Let b(o) = 0*o - d*o - o + 3*o. Calculate b(y(a)).\nAnswer: 44*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**4\/12 + 2*g**3\/3 + g**2\/2 - 3*g. Let v(z) = z**2 - 3*z - 5. Let q be v(3). Calculate w(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 2216 - q**2 - 2216 + 22*q**3.\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 813\/17 < 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*n*x - 33*n with respect to x.\nAnswer: -23*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12 + 12 + 0)\/(-1). Solve d = 5*v - v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1853149 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42416258.\nAnswer: 2, 17, 1051, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 16 - 6 = 0. Suppose 0 = a*j - 12*j + 96. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o + 2*o + 0*o + (-1 - 4 + 4)*(-2*o + 5 - 5) + 1 - 60*o - 75*o + 115*o as v*o + g and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.103 and -0.93.\nAnswer: 0.09579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from zzzzwwzzww?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-9)\/45)\/((-2)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2\/9 - 32914696*l\/9 + 270844303193104\/9 = 0.\nAnswer: 16457348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*o - 4*i, -5*o = 9*i - 10*i - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -7*g**6\/24 + 3*g**5\/4 + 25*g**4\/4 - 80*g**3\/3 - 2*g**2 + 363*g. Factor p(u).\nAnswer: -5*(u - 1)*(u + 2)*(7*u - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -6 - 24) + 1 + 0 - -6.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 12:14 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k + 3 + 4*k**2 - 4*k + 1. Let w be n(-6). Suppose -2*u + 6*u = w. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-1 + 3 + -5). Suppose 15 + 5 = q*b. Suppose 33 = b*s + 5. Solve -18 = 5*x + s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -17*m**4\/2 - 4*m**3\/3 + 161. Determine g so that l(g) = 0.\nAnswer: -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2 - 6*k**2 + k**2 - 3*k**2 + 4*k**2 - 174*k wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40416 is divided by 2689?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1751 and 279233?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2825228.\nAnswer: 2, 7, 23, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -145*h + 38*h - 428. Which is the nearest to 1? (a) 9 (b) 3 (c) h (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (606*g - 225*g - 304*g)*(2 - 3 + 0) + 16*g + 3 - 3.\nAnswer: -61*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100 + -1110?\nAnswer: -1101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(2299) + 3*(sqrt(2299) + 0 - sqrt(2299)) + (-1 + sqrt(2299) + -3)**2 - (-2 + 1*sqrt(304) + sqrt(304)*-3*-5)**2.\nAnswer: -75518 + 179*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 302, 235, 182, 149, 142, 167, 230, 337?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -6*d + 182. Let l = -71 + d. Solve -10 = -5*y + k, k - l = -3*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306721088 a multiple of 4848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 7550.\nAnswer: -7\/1510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23514820.34997 - 23515881. Let b = y - -1060.7. Let i = b - 0.05. Round i to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 90442?\nAnswer: -90443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -931993*m**3 - 533293*m**2 - m wrt m?\nAnswer: -5591958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/4 - 7221*z**2\/2 + 187607*z\/4 - 216435\/2 = 0. What is z?\nAnswer: 3, 10, 14429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gphgpgppphhssshhshp. What is prob of picking 1 s, 1 g, and 2 p?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-6 - (5 + -3 + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -204 + 205 + 37*t**2 + 33*t**2 to the form m*t**2 + i*t + q and give m.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*n + 85. Calculate the least common multiple of 8\/6*(378\/(-12))\/(-3) and n.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-287)\/(-820) - 1\/3. Let x(j) be the third derivative of -q*j**5 + 0*j + 0 - 1\/6*j**3 + 1\/12*j**4 - 2*j**2. Factor x(k).\nAnswer: -(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*4140570\nAnswer: -8281140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27253195 to the power of 1\/3, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57039334?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51880b0 (base 12) in base 2?\nAnswer: 111010100101101010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**9\/18900 - l**8\/8400 - l**7\/1575 + 35*l**4\/24 + 15*l**2 - 2. Let d(v) be the second derivative of x(v). Solve d(z) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/(9\/12).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5972 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 18 - 854*f - 38 - 1237*f.\nAnswer: -2091*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 641 or 635?\nAnswer: 641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 12 + 2)*(4*b**3 + 3*b**3 - 5*b**3).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(162) + (-1 + sqrt(162) - sqrt(162))))**2.\nAnswer: -72*sqrt(2) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2444305 (base 6) in base 4?\nAnswer: 133320101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 793650 and 50.\nAnswer: 793650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1336973085 divided by 12733077.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-34)\/14 + (4 - 2). Let m = 0.51 - -0.09. Let c = 1 - m. Sort c, 0.1, q in ascending order.\nAnswer: q, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**2 + 40557185*r - 40557185*r.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6504102 (base 8) to base 10\nAnswer: -1738818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 5. Let y be l(-10). Suppose -p = -y*p + 40. What is the greatest common factor of p and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n + 10 = -r, 4*n - 4*r = 24. Suppose -3*k - 11878 = -4*y, -n*k + 11886 = 4*y - k. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32476*m**2 + 16414*m**2 + 16064*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*d - 62*d + 60 = 0. Solve 5*u + d = 15*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**16)**(2\/111)\/(w**(-1\/3))**(-19))**36 assuming w is positive.\nAnswer: w**(-8052\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4570097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 j when three letters picked without replacement from {t: 2, c: 8, j: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490235.\nAnswer: 5, 98047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + r + 45 = -2*r, 5*i = -r + 177. What is the greatest common divisor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61497519911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 57872781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3831311 and 758.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (4 + -5)) + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -29773*s**5\/4 + 327502*s**4 - 8902039*s**3\/2 + 18667073*s**2 - 96722445*s\/4 - 3249 = 0.\nAnswer: -4\/29773, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*d**3 + 1 - 9788*d - 23*d**2 + 4900*d + 4887*d + (-2 + 1 + 0)*(-2*d - d**3 + 2*d).\nAnswer: -29*d**3 - 23*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (164\/6)\/((-42)\/9 + 4). Let q be u\/123 - (-2)\/4. Which is the nearest to 3\/13? (a) q (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 208246220 to the power of 1\/2, to the nearest integer?\nAnswer: 14431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 16381 = 2*k, 8*n = -10*k + 13*k - 24591. Is 108 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.2 + 12.8. Let y = 17.23 - s. Let h = 0.77 + y. Which is the closest to 0? (a) -3 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 o when three letters picked without replacement from {u: 2, o: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000111000100001 (base 2) in base 16?\nAnswer: 20e21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -7\/3*z**3 + 2*z**2 - 1\/60*z**5 + 0*z + 0 + 5\/12*z**4. Let r be t(7). Solve -3*j + 2 + r = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - u + 6. Let t be v(-3). Suppose t = -z + 5. What is z rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -4.72.\nAnswer: -4.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 5.107?\nAnswer: -0.20428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 257272162 a multiple of 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = c + 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 11 - (5 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2356, 4, 1\/3, -5\/2, -114, -3.8?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 = -3*j, -5*j - 4 - 11 = 0. Let i = m - 0. What are the prime factors of -2*((-84)\/8 + i)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -15914.\nAnswer: -15914.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-21)\/(-84) + 7395\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -218.409403 + 218.4. Round z to 4 decimal places.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-196)\/(-8)) + 10\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1000 and 30148400.\nAnswer: 150742000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111010111 + 11?\nAnswer: 111010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 98.89952kg?\nAnswer: 98899.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awaa when four letters picked without replacement from {w: 7, a: 4}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-1093558.\nAnswer: -874846.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 15 - 15 = 0. Suppose 0 = -k*v - 44 + 119. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29581*m - 9193*m - 9855*m - 9762*m.\nAnswer: 771*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 16) to base 8.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -1\/6*o**4 - 8*o**2 + 0 + 0*o**3 + 0*o. Let a(c) = -6*c. What is j(a(x))?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317622764.\nAnswer: 2, 3, 7211, 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*2)\/sqrt(11) + sqrt(19) + sqrt(209)\/(sqrt(11)*1).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/2? (a) -6\/31 (b) -3 (c) 2\/19 (d) 3\/4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4284 = 11*a - 623*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**5\/4 - 1291*x**4\/4 + 42991*x**3\/4 - 317409*x**2\/4 - 192240*x - 101817 = 0.\nAnswer: -1, 18, 1257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15114458 - -208.9.\nAnswer: -15114249.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 - -100. Which is the biggest value? (a) 5 (b) 2\/7 (c) -1\/6 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 43.2. Which is the fourth smallest value? (a) 2\/17 (b) 5 (c) j (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123 + -2311?\nAnswer: -2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q**3 + q**2 - 2*q + 1. Suppose 496*t + 8 = 504*t. Determine r(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, j: 6, o: 5, b: 3, w: 3}. Give prob of picking 1 c, 1 o, 1 b, and 1 w.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*p + 21*p = -8*p - 7890035. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 10:35 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + 4*(10 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 204 - 44. What is the greatest common factor of 760 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e + -944?\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**3\/3 - 6*k**2 + 26*k. Let f be y(-12). What is the second derivative of 23*h**4 + h - 2*h + h + f*h wrt h?\nAnswer: 276*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.9 + -16.1. Let i = -19.64 - l. Let q = i + 0.6361. What is q rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Let d be v\/(36\/34 + -1). Suppose -d = -5*s + 3*s. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*j - 3*r + 22 = -255*j, -3*j = -5*r + 34. Solve -o = 5*x + 17, j*x - 3 = -2*o - 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1555.\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 205503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 50504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9061.\nAnswer: 13, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*h - 8. Suppose 0 = 4*l - 4, -4 - 1 = -3*s - 5*l. Which is the second biggest value? (a) s (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 72.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67*u**4 + 296594*u - 60460774 wrt u.\nAnswer: -268*u**3 + 296594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82326?\nAnswer: 2, 3, 13721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 75 = -4*m - 32, -f - 25 = -4*m. Let l(x) = 6*x - m*x + 3*x. Let i(q) = -4*q. What is i(l(v))?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 199936 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1701*i + 10288. Determine j(6).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**5\/60 + v**4\/12 + v**3\/9 - 14*v. Find p, given that r(p) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooooopo. Give prob of sequence oop.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 392 - 383. Suppose -10*n - 3*b = -x*n - 2423, 3*n - 7253 = -5*b. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from gugoumgxmmqmggmm?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164)\/(-16) - (-18)\/24.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 122, 133, 148, 167, 190?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 35) + 17 - 4 - (-1 + -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -1255?\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, -4, -0.1, 76, -2?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*p - 3*p - 10, 6*p - 30 = 0. Which is the closest to -5? (a) v (b) -10 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by -10971\nAnswer: -62\/10971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.094 - 8560.1259.\nAnswer: -8553.0319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1428736 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -519\/70 + 54\/7. Let v(k) be the second derivative of 0 + 3\/10*k**6 - 3\/2*k**2 - 1\/2*k**4 - 1\/14*k**7 - 3*k + 3\/2*k**3 - o*k**5. Let v(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yayyaqqqaaaaaayy. Give prob of picking 1 q, 1 y, and 1 a.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1378334 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20 and -9164?\nAnswer: 183280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 15*c**2 - 5*c - 12. Let g be i(7). Is ((-376)\/40)\/(g\/(-10)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47359 divided by 6\nAnswer: 47359\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2966653123054\/178852175 - 639\/2009575. Let o = t + 16587. Let u = o + 2960\/623. Sort u, -2, 3 in increasing order.\nAnswer: -2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**4 + 31*i**3 - 58960*i**2 + 2*i - 3545982 wrt i.\nAnswer: 12*i**2 + 186*i - 117920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2 = 2*c, 5*c = x + 1 - 6. Suppose x = 4*t - 0*t. Solve 0 = -4*h + 2*v + 12, 4*h - v = -t*h + 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 377985 by 5.\nAnswer: 75597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*i**2 + 3*i**3 + 118*i**2 - i**3 + 44*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8112*z**3 + 0 - 4.\nAnswer: -8112*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -202 + 1007\/5. Let w = -358 + 7520\/21. Which is the nearest to -0.1? (a) s (b) -2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x = 36*x - 40884. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + g - 1)*(40 + 180 + 83).\nAnswer: 303*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/10620*-767*20\/(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5040723ml to litres.\nAnswer: 0.0005040723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 2 = -20*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -790943*i**3 - 791959*i**3 + 1584134*i**3.\nAnswer: 1232*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1406424 minus 5005?\nAnswer: -1411429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55.1 - -58. Let f = p + -3. Which is the smallest value? (a) -1\/3 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 8*p + 10. Determine n(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/7*k**3 + 18\/7*k**2 + 2\/7*k**4 + 2*k + 4\/7.\nAnswer: 2*(k + 1)**3*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*o, 70 - 11674 = g + 2*o. Do g and -23235\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 50. Let l be n(-24). Is l greater than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) + (-13)\/(234\/(-672)). Is j at most as big as 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/288)\/(1\/8). Let x = 223\/1656 - 2\/207. Which is the third biggest value? (a) 2\/7 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 700 divide 27498928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from lnbnflfu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30074432 a multiple of 2278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - l - 2, -r - 5*l - 85 = -69 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 8:47 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7301, -7432, -7575, -7736, -7921, -8136, -8387, -8680?\nAnswer: -9021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 67, 14, -161, -518, -1117?\n\"Answer: -10*t**3 - t**2 + 20*t + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159 - 323. Let g be r\/205 - (-2391)\/2995. Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -45731 and -1051820\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, d: 4, j: 2}. What is prob of sequence hj?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-2 - -15) - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1737*f**3 - 6948*f**2 + 4*f - 13. Determine a(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, c: 1, t: 2}. Give prob of sequence cqt.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -28\/9, 7236, -0.12?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7923329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14512031, -29024097, -43536165, -58048235?\nAnswer: -72560307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 25*c**2 - 1400*c - 14. Is b(95) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(2\/7)*p**(-3)*(p\/(p*p**(-2\/5)))**(-5\/3) assuming p is positive.\nAnswer: p**(-50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 34\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/4 - 493179*g - 15780960.\nAnswer: -3*(g + 32)*(g + 657540)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s + 140. Determine d(44).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 1. Let a = -8.5 - b. What is the biggest value in a, 3\/2, -4\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3))\/y**(-12\/5) assuming y is positive.\nAnswer: y**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15986718, -15986595, -15986460, -15986307, -15986130?\nAnswer: -15985923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129334*p - 21*p**2 + 129334*p.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/6 + -2)*(-372)\/(-4). Is -426\/7 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -161*u**6 - 65*u**2 - 2.\nAnswer: -19320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 269*f**2*i**2 + 12*f**2*i - 414*f**2 + 11*f*i + 13628*i**2 + 21*i wrt f?\nAnswer: 538*i**2 + 24*i - 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7382 is divided by 93.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*o + 5*m, 3*o - 4*m = -m + 36. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, -687.\nAnswer: -687, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -187.08*-2\nAnswer: 374.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from rffrfrrjfrrfrsjfjr?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b + -9?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*x**3 - 2*x**4 - 3 - 19*x**3 + 2 to p*x**2 + j*x**4 + s + g*x + z*x**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from {t: 4, v: 2, s: 3, o: 10}?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2306+39\nAnswer: -2267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 40 - (-32 + (38 - 24)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3119 + 3120. Calculate the least common multiple of 69 and y.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 42*j + 47*j + 99, 4*j = -4*s - 92 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 2*g + 5, 48267 = 4*g + 5*v + 48280 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 52780?\nAnswer: 52780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3025 = 50*i + 113*i - 42*i for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/197360 and -19\/14802.\nAnswer: 592080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 506333220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 0*s + 0*s**4 - 1\/60*s**6 + 0 - 17*s**2 + 0*s**3 - 17\/60*s**5. Find the third derivative of d(v) wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 569 or 1755?\nAnswer: 569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17\/2 + -7. Let y = 0 + 0.3. Let m = -0.2 + y. Which is the second biggest value? (a) m (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*j + 4, 3*j - 6 + 0 = -5*l. Solve -j*x - 6 = -14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-10))**(6\/5)*t**(1\/3)\/t*t**(1\/31)\/t)**28 assuming t is positive.\nAnswer: t**(-35504\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 5*y - 104. Let j(v) = v + 25. What is the lowest common multiple of 28 and j(y)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 182045\/(-11081)*(-126)\/15.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = 4*a, 0 = -f + 2*a - 3*a - 1. Let j(y) = -y - 3. Let g be j(-3). Suppose g = -2*p - 3 - 1. Put 4, p, f in descending order.\nAnswer: 4, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -14\/11, 45, -2\/7, -1?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -272319164 divided by 142129?\nAnswer: -1916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (337222\/(-1442))\/(((-2)\/266)\/1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 263.\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1922 = 4*z + 3*x, -3*z + 5*x + 2420 = 2*z. Let u = z - 311. What is the highest common divisor of u and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3) + ((-93)\/(-56))\/(216\/(-96))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 48*o - 12*o - 81520. What is the remainder when o is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 81, 1.2, -4, -1\/3 in decreasing order.\nAnswer: 81, 1.2, -1\/3, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*u**2 - 145*u**2 + 338*u**3 - 64 - 140*u**2 - 339*u**3 - 140*u**2.\nAnswer: -u**3 - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45747 - 24942. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1, 4, 255240, -3, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 149, 1\/3, -2, -2\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r - 12*r**2 - 10*r - 15*r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223\/9 - 24\/(-108)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -272*n + 3. Let h(a) = -1083*a + 16. Determine 2*h(x) - 9*p(x).\nAnswer: 282*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -1\/6*a**4 + 0 + 7\/2*a**2 + 0*a**3 + 3*a. Let k(m) be the first derivative of y(m). Let w(f) = 3*f**2. What is k(w(x))?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3098909 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 76766, 75585, 73616, 70859, 67314, 62981, 57860?\n\"Answer: -394*h**2 + h + 77159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 19.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 452*d - 425*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223631 is divided by 64?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133\/8 - 17. What is the closest to 0.1 in -1, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055952507 less than -4?\nAnswer: -3.944047493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*i - 14*i - 3*i + 0*i to z + s*i and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/40 and -13\/22020?\nAnswer: 44040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 350774 to the nearest 1000.\nAnswer: 351000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.3. Let d(i) = 3*i - 28. Let q be d(9). Let y = -3 + 2.5. Which is the closest to q? (a) y (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39\/2 - 20. Let k = 1 - 0. Suppose -k = -0*m + m. Are g and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 21068640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*o + 14 - 41 + 36 - 3*o**2 + 17 as w*o + b + s*o**2 and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n - 12. Suppose -2*k = -n*k + 80. What is the remainder when k is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.3. Suppose 9 - 24 = 5*w. Let g = -13\/4 - w. What is the nearest to k in -2, -1\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 16*c**2 - 16*c + 16. Let f be h(15). Suppose -f - 3 = 4*g, -4*r = -2*g - 38. Solve -5*l - r - 11 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1196 + -1186. Solve b - 15 = -3*n, -2*b + 5*b + 2*n - f = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23365 + -75b?\nAnswer: -23ac2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -598?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 24. Suppose -z*n = -0*n - 20. Are 4 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.163 (b) -5 (c) 5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*h = 93*h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3594\/1198)\/(1\/16*2*3*10)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-10))\/((-12)\/30). Calculate the remainder when h\/11 + (-290)\/(-22) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 23*o - 9. What are the prime factors of y(4)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 0*m - 4*m + (-1 + 1 - 1)*(0*m - m + 3*m) + m - 2*m + 3*m + 0 - 1 + 2*m + m.\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1931 (b) 3\/8 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175 and 49.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Let p(n) = 3*n - 1. Let z be p(x). Solve o + 3*j = 11, -j - 15 = z*o - 0*j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5764877*b**2*j**3 - 17*b**2*j**2 + 188*b*j + 284667*j**3 wrt b.\nAnswer: 11529754*j**3 - 34*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27097 + 0.02302?\nAnswer: 27097.02302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 16 + 29*o - 25*o.\nAnswer: 4*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-80))\/(6\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 754106?\nAnswer: -1\/754106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*d - c, -d + 3*d + 5*c - 7 = 0. Let r be 1\/2*((-20)\/d + -1). Let k(q) = 10*q**3 + q**2 + 4*q - 7. Is k(r) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -81*a**2 - 39?\nAnswer: -162*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/(-255)*((-16980)\/(-848) - 20)?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/328 and -179\/7392300.\nAnswer: 14784600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -4) + 3 + -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 2*s - 15. Solve k = s - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -7\/4 (c) 526.3 (d) -2\/281\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 2:21 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/7 - 72*i**3\/7 + 4804*i**2\/7 + 98136*i\/7 - 3715538\/7.\nAnswer: -2*(i - 29)**2*(i + 47)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 122*z**2 - 1128*z - 924. Give f(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*(sqrt(176))**2 + (sqrt(22)\/sqrt(2) - sqrt(11))*6).\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 342408, 342394, 342380, 342366, 342352?\nAnswer: 342338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeu when three letters picked without replacement from {j: 1, u: 4, g: 3, e: 7, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -174.6 + 174.7. Which is the third smallest value? (a) -4.4 (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1424090 is divided by 236?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379109*o + 126 = -379119*o - 84 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -166\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Calculate the remainder when 15 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1445886 divided by -3\nAnswer: -481962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 5*n - 3*n)*(1 - 3 + 0)*(-4 + 2 - 2) + (1 - 1 + 2 + 0 - 1 - 1 + (-2 + 3 + 1)*(4 - 1 - 4) - 3 + 1 + 1 + 0 + 4 - 2)*(-12 - 389*n + 12).\nAnswer: 397*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 + 7. Let t be (112\/g)\/8 + 176\/30. Solve 7*h - t - 1 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -114, -167, -220, -273?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 15*j + 13. Let b(n) = -7*n - 6. Let a be (-3)\/(-7) - (-96)\/21. Let p(q) = a*b(q) + 2*t(q). What is the first derivative of p(u) wrt u?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50\/517 or 5958?\nAnswer: 5958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -49, -116, -221, -370?\n\"Answer: -z**3 - 10*z**2 + 2*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 133 = -3*r + 5*r, -t - 5*r - 22 = 0. Let c = 77 + t. What is the remainder when 399 is divided by c?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28371\/86791 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 855.7778 litres in millilitres?\nAnswer: 855777.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 641, 1292, 1943?\nAnswer: 2594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 5*q + r + 2*r, 2*q - 5*r = 74. Let b = q + -18. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -83*h. Let c(b) = -3*b**2. Give c(r(x)).\nAnswer: -20667*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 >= 677.3554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + sqrt(2448)).\nAnswer: -36*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 622530983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 274119496 divided by 8\nAnswer: 34264937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-408)\/(-2856))\/((-2)\/(-12))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j*j*(j\/j**(2\/3))\/j)\/j*j)*j)\/j)\/j)**45\/((j*j\/j**(-2\/3))\/j*j**(2\/15)\/j) assuming j is positive.\nAnswer: j**(-304\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 20, -21\/2 in decreasing order.\nAnswer: 20, 0, -5, -21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/60 - -1\/12. Suppose 0 = n - 2*u + 2, -21*n - 5*u + 1 = -24*n. What is the biggest value in q, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -1345?\nAnswer: -1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -7725 equal to -7731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 3*o**2 + 8*o - 9. Let r be h(-5). Suppose 3*k = r + 2. Let f = k + -6. Is -4 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -23*v - 23*v - 22*v - 23*v + 89*v. Let u(y) = -2722*y. Determine u(a(l)).\nAnswer: 5444*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000185107405 rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand y - y - 4*y + (5 + 0 - 3)*(y - y + y) + 3*y + 0*y - 4*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 9 - 5 - 5 + 3*n. Let k(a) = a**2. Calculate the least common multiple of z(1) and k(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63.00000384 + -63. Round b to 7 dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 724351048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.856 + -13.9. Let k = g - -0.044. Let h = 5 + -5.6. Put 5, k, h in descending order.\nAnswer: 5, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 - (0 + 0) - -3. Let y(t) = -880*t**2 + t + 5. Let f be y(d). What is f rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.85 and -913200?\nAnswer: 2602620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 107*i**3 - 324*i**2 + 15*i + 12. Calculate l(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1207100 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or -35?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 943 by 11665.\nAnswer: 943\/11665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 28 + 2*u**2 - 2*u**2 - 4*u**2 + 37 - 66 + 43*u**4 to i*u**3 + x + t*u + g*u**4 + j*u**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + u**2 - 7*u + 7. Let o(j) = -j**3 - 15*j**2 + 137*j - 184. Let d be o(5). What is a(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 6:45 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 1112*m**2 + 6726*m + 10116.\nAnswer: -2*(m - 562)*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 6*t = 3*t + 24, -2*t - 7 = -5*p. Suppose -339*m - p = -340*m. Put m, 4, -15 in descending order.\nAnswer: 4, m, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41807 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 873\/27 + (-2)\/6. Calculate the greatest common divisor of 48 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1424*-62.\nAnswer: -88288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*n = -3*n + 756, -2*n = 2*b + 496. Let h = 690 + b. Round h to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/14 (b) 2 (c) -0.5 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -21. Is 0 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 2 + 1)*(82*s - 9*s - 24*s) in the form c + v*s and give v.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 15. Let b be z(11). Let n = -5 + 8. Suppose -2*c - b = -n*c. What is the remainder when 6 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7318 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 26 = -23 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271454446 divided by 53.\nAnswer: -5121782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2c (base 16) to base 15\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*m = 231, -2*y - m + 38 = -49. Let c = y - 43. Let p(k) = k**2 - 5*k**c - 4*k**2 - 4*k**2. Let u(s) = 3*s. Give u(p(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.455337s to nanoseconds.\nAnswer: 4455337000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3434.\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/3 - (-12)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z**2 + 37*z + 4. Determine i(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 38*j + 33*j = -1, 0 = 4*q - j + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17)\/(-4) + 2\/(-8). Let p(x) = v + 0 - 2 + x - 4. Let w be p(4). Let i(d) = -d**3 + 4*d**2 - 3*d. Give i(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1352, 2961, 4828, 6953?\nAnswer: 9336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 3. Suppose 2*u + 12 = d, -a*u = 2*d - u - 38. What is the smallest common multiple of d and ((-9)\/(-3) - -18) + -3?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2\/o)**(3\/7)*(o*o**1*o)**(1\/22))**(-4\/3) assuming o is positive.\nAnswer: o**(-58\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 54007.82cm?\nAnswer: 540078200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 19*t**2 + 5*t + 1. What is the remainder when 378 is divided by c(19)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, s: 4, o: 2, v: 10}. What is prob of sequence vosk?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/5))**(2\/139)*(k*((k\/k**(5\/3)*k)\/k)\/k*k)\/(k**(6\/13)\/k))**(29\/2) assuming k is positive.\nAnswer: k**(343766\/27105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -31, 751\/6, -4\/7, 2\/39, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x = -46 + 101 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 866 = -7*l + 3421. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, 1\/5, -2.2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 7*v + 2*q - 196, 4*q + 140 = 4*v. Let p = -22 + v. What is the remainder when 47 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 2. Let c be l(1). Let w(b) be the first derivative of -1\/2*b**4 + 0*b - 1 - 1\/3*b**3 + c*b**2. Find the third derivative of w(r) wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-2 + 18\/(-6)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {b: 3, q: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -22. Let c = -6 - j. Find the third derivative of 2*n**6 - 3*n**5 + 3*n**c - 3*n**2 + n**6 wrt n.\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -98*f**5\/5 - 6902*f**4\/5 + 18178*f**3\/5 - 15842*f**2\/5 + 5248*f\/5 - 584\/5 = 0.\nAnswer: -73, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -3529?\nAnswer: -14116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-20) + 2\/5. Let c = -0.63 - -0.33. Let q = 0 + c. Sort x, -2, q in ascending order.\nAnswer: -2, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r**2*v + 11*r**2 - 6*r*v + 435*v wrt r?\nAnswer: 2*r*v + 22*r - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23552?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16608106 or -16608107?\nAnswer: -16608106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1894 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/((-96)\/4))\/(126\/(-224)))\/((-10)\/1395)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4641.052 years?\nAnswer: 4.641052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1094, -1092, -1088, -1082, -1074?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-65)\/520*3*-18\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25 + 24 + 22*j + 24 - 63 wrt j?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*b - 103*b - b**2 - 9*b**2 + b**2 - 25*b**2 + 20*b**2 + 51*b.\nAnswer: -14*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9\/5, -2, 10, 7, -156\/19?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 612 and 4216?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -132, -117, -84, -27, 60, 183?\n\"Answer: m**3 + 3*m**2 - m - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjd when three letters picked without replacement from {j: 2, d: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -307 - -743. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/((-4)\/(-6)). Let v(s) = -4466*s. Let z(r) = -851*r. Let p(o) = -4*v(o) + 21*z(o). What is p(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68084 at most as big as -68084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 128?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-778)\/(-4) + (-4)\/8. Let l = 252 - i. What is the highest common factor of 928 and l?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52550993 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (15 - 8 - 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6363 and 14492187?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -12935869.\nAnswer: -5174347.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 800 - 438. Suppose -a - y + 2038 = 0. Suppose 5*s = 3*u + a, -7*u = -s - 3*u + 325. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 13*z + 765. Let h(n) = 150*n - z*n + 0 + 6. Determine h(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3332 - 16.6668. Which is the biggest value? (a) z (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t - 40 = 0. Suppose 3*j + 2*j = t. Suppose -5*d - 27 = -j*i - 2*i, 0 = i + 2*d - 10. What is the greatest common factor of 88 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*l - 2. Let n be (2\/8)\/(l\/(-2)). Let a = -7.91 + 8. Is a less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/7 + 236*w**3\/7 + 13682*w**2\/7 - 4148*w - 6069.\nAnswer: (w - 3)*(w + 1)*(w + 119)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 130\/(7 + -15 + 10)*1*32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2559866573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 + 323945*c**2\/3 - 647909*c\/3 - 1619735.\nAnswer: (c - 5)*(c + 3)*(c + 323947)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65929599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*f - 18 = 0, f - 1 - 3 = 0. Suppose -3*y + b = -2*y. Suppose -5*u - 3*h + 47 = -u, -5*h - 43 = -y*u. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -535 - -611. Sort -4\/5, 3, p.\nAnswer: -4\/5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2855, -7349, -13473, -21227, -30611, -41625, -54269?\n\"Answer: -815*b**2 - 2049*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-174)\/(-15) + (-4)\/(-10). Suppose -5*a = 2 - o. Suppose z = 2*b, 0 = -2*b + a*z - 3*z. Sort 2, b, 5 in descending order.\nAnswer: 5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -691 or -689?\nAnswer: -691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -22. Let h be (4\/12)\/((-2)\/y). Solve h*s - s + 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -358, -357, -354, -349, -342?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2302, -4399, -6496, -8593, -10690?\nAnswer: -12787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -205*z**5 - 30*z + 1. Let k(y) = 307*y**5 + 45*y - 1. Let o(i) = -5*k(i) - 7*q(i). What is the second derivative of o(v) wrt v?\nAnswer: -2000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**3 + 5*a + 3. Let s(v) = -12*v**3 + v**2 - 11*v - 6. Let p be 6\/(-9) + ((-16)\/(-12))\/(-1). Let u(k) = p*s(k) - 5*t(k). Give u(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173 - 14*b + 173)*(310*b - 388*b + 2 + 188*b).\nAnswer: -1540*b**2 - 28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 73960 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**2. Let n(t) = 2 + 8*t + 0 - 9*t. Let d(c) = c - 1. Let v(r) = r. Let u(o) = -3*d(o) + 2*v(o). Let f(g) = 3*n(g) - 2*u(g). Determine m(f(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40 - 2)*2\/4. Suppose -5 + 3 = -2*t, 22 = 4*m + 2*t. Suppose -4*i + 12 = -0*i, 5*i = -m*x + 300. What is the highest common factor of x and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 25467247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18146\/11, 3\/5, 0.3, 6 in ascending order.\nAnswer: 0.3, 3\/5, 6, 18146\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 2*z + 3. Let i(x) = x**2 - 4. Suppose -10*n = 314 - 344. Let w be i(n). Calculate p(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*v - 22*v + 3762 = -57*v for v.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 + -0.275167.\nAnswer: -0.255167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 8:09 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2940 = 273*m + 1155 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43241 is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1 - 11)) + (-165 - -49) + 172.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suufpfvuu. Give prob of sequence spu.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4023903 or 4023900?\nAnswer: 4023903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1027, 1015, 989, 943, 871?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 - 123. Let l = -18 - s. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 180 + 91 + 84. Solve -10*k + 7*k = 4*p - 2, -26 = -p - o*k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 3*g**2 - g. Let y be o(2). Let x be 2\/y*(-1 - 4). Let r(s) = -s**2 - 6*s + 4. What is the units digit of r(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 13*u**2 + 121*u - 74. Let l be t(-13). Let f be 23*1 + (1 - 2). Calculate the highest common factor of f and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 11*i - 5*i)*(i**2 + 0*i**2 - 2*i**2) - 2*i**2 + 2*i**2 + 2*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146.62 - -15.38. What is the smallest value in -5, n, 0.3, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50668 divided by 29\nAnswer: -50668\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1273*u + 155 - 855 = 573 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 - -180. Suppose -21653*k + 368 = -21630*k. Calculate the remainder when f is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+20.1143\nAnswer: 23.1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 1581\nAnswer: 20553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (416\/112 - 4)\/((-5)\/7)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 30024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 375*d**2*u**2 - 2*d*u**2 + 6*d*u - 4 wrt d.\nAnswer: 750*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 + -57. Let k = -428 - -633. What is the remainder when 228\/5 - 1 - (-82)\/k is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3*j**3*o*w - 32*i**3*j**2*w**2 + 5*i**3*o*w - i**2*j**3*o*w - j**3*o*w**2 + j**2*o*w + 4*j**2*w wrt w.\nAnswer: -64*i**3*j**2 - 2*j**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8020649 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138569 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**3 + 120045*n**2 + 240099*n + 120051 = 0.\nAnswer: -1, 40017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -1*(3 - 2)*4 + 6 and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316934.\nAnswer: 2, 107, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1*-2*sqrt(567) + (sqrt(567) - 3*(sqrt(567) + sqrt(567)*2 - sqrt(567))) + sqrt(567))\/((sqrt(36)\/sqrt(4)*5 + sqrt(9))*-3))**2.\nAnswer: 4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 21*z**2. Let a(g) = g**2 + 5. Let i(x) = x**2 + 7. Let q(h) = 7*a(h) - 5*i(h). Calculate b(q(t)).\nAnswer: 84*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 867\/(-6264) + 6\/(-16) + (-380)\/(-855)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o + 215 = -q, -2*q + 5*o - 431 = 0. Let v be q + (2 + 0 - -1). Is ((-1)\/1)\/(1\/v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5323 is divided by 51?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 4*r**2 + 3*r. Let h be v(-4). Let l = 10 + h. Let k be (l - (0 - 0)) + 1. Which is smaller: k or 2\/21?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.0401 + 454211\nAnswer: 454218.0401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3378 divided by 6.\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6aa - 2768?\nAnswer: -3367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/1 + -10)\/((-10)\/5). Suppose -40 = -4*b + 4*z, -8*b - n*z + 6 = -6*b. Solve 11*a - 15 = b*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*n + 1 = 0, 3 + 1 = -2*l - 5*n. What is the derivative of 103*u - 103*u + 18 - 12*u**l wrt u?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -3 (c) -0.037 (d) -0.05 (e) -1899\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 5, 3, 1\/9, -5.8, -0.8 in ascending order.\nAnswer: -54, -5.8, -0.8, 1\/9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 6) + (-11 - (1 + -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 14. Let p be (-2 - v)*(-225)\/10. Let f = -11 + 16. What is the highest common factor of f and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563*m**3 - 524*m**3 + 2*m**2 - 527*m**3 + 2019*m**3 - 533*m**3.\nAnswer: -128*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8254458*x**3 + 4*x**2 + 37807705*x wrt x?\nAnswer: 49526748*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 46.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 10) to base 8\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*w - 1311 = 111 - 262 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 + 69*y**2 + 92*y - 17. Calculate h(36).\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s. Let j(h) = h**2 - 4*h - 2. Let i be j(5). Suppose 0 = 5*y + i*v - 145, 0*y - 4*y + v + 116 = 0. Let u(w) = 56*w - y + 29. Give n(u(z)).\nAnswer: -56*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -1557.\nAnswer: -17127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -310*y**3 - 40?\nAnswer: -930*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - k = -2 - 3, -6 = 4*l - 2*k. Does 24 divide (4\/8)\/(l\/192*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 7:14 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 82877424 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118936?\nAnswer: 2, 14867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i**2 - 210*i - 7*i**5 + 151*i - 14*i**2 wrt i.\nAnswer: -140*i**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 303 + 2089*d**2 + 2086*d**2 + 2*d**3 - 4175*d**2 as t + w*d**2 + h*d**3 + p*d and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 3*i - 115. Calculate the least common multiple of t(-7) and 966.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 - 4*v**2 - 3*v + 3*v - 231.\nAnswer: -4*v**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 351573 (base 8) in base 10?\nAnswer: 119675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 22*i**2 + 8*i + 110. What is the tens digit of k(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223399795.\nAnswer: 5, 53, 4616603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68190*z + 67808*z = 8404 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 4*a - 70 = 0. Let i(p) = p**3 - p**2 + 3. Let n be i(0). Suppose n*j - a = -2. Solve -f + 2*f - 24 = -j*h, -3*h = 5*f - 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-12)\/(-16) - (-262)\/8. Calculate the greatest common divisor of 80 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 304979, 304972, 304961, 304946, 304927, 304904?\n\"Answer: -2*r**2 - r + 304982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -1068.\nAnswer: -7\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25\/7 + 61\/21. Which is the nearest to -1? (a) z (b) 6\/11 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1597.83 to the nearest 10.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 107659178 rounded to the nearest 100000?\nAnswer: 107700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3410 and 155.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(0 + sqrt(1539)) + sqrt(1539) + sqrt(1539)*1*2)**2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -203153 + 4?\nAnswer: -203145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from wodqsqqdsdoqdqq?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1116969629*m**4 - 252335246?\nAnswer: 4467878516*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 11:15 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37242 or -37207?\nAnswer: -37242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 23 = 5*x + 4*t, -4*t = -4*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c - 46*c + 66*c - 193.\nAnswer: c - 193","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1108828 and -27\/112.\nAnswer: 4435312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y + 15. What is the second derivative of -2*l + y*l**4 + 2*l - l wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (270\/(-40))\/27*-44?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 6:06 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1204, 2369, 3536, 4705, 5876, 7049, 8224?\n\"Answer: p**2 + 1162*p + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -263 divided by 5\nAnswer: -263\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -106192800 divided by 688\nAnswer: -154350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 173. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1599 and 1209.\nAnswer: 49569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56 and -13.91.\nAnswer: 778.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, h: 1, u: 3, r: 5, a: 2, g: 7}. What is prob of sequence ra?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -181486 divided by 2?\nAnswer: -90743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 15, 3, -5, 4, 45 in decreasing order.\nAnswer: 45, 15, 6, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -41*u - 2. Calculate the lowest common multiple of 18 and p(-2).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 63\/2. Let a be 6\/9*(-3)\/(-6). What is the third biggest value in -2, p, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42089066 to the power of 1\/3, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*i + 70*i - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7589\/12 + 12651\/20. Factor -n*c - 26\/15*c**2 + 26\/15 + 2\/15*c**3.\nAnswer: 2*(c - 13)*(c - 1)*(c + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31841 + 31836. Let f(h) = h**2 - 4*h - 1. Let t be f(5). Which is the biggest value? (a) 8 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**2)**3*(z\/((z\/(z\/(z\/(z**(-3)*z))))\/z)*z)**16)**(23\/6) assuming z is positive.\nAnswer: z**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9 - 9 + 9*n**4 + n**2 - 7*n**2 wrt n.\nAnswer: 216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1522321009.\nAnswer: 11, 59, 2345641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 3*w - 2. Let x be i(-3). Let c = -17 + x. List the prime factors of c + -2 + 0 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - (1 + 4 + sqrt(700))**2) + (1 + sqrt(700))*-5.\nAnswer: -730 - 140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45570237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**5 + x**5 - 5*x**5)*(-3590 - 3615 + 7932).\nAnswer: -3635*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67616712 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2521*q - 52993. Determine f(-21).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*a = 14, 2*l - a - 29 = -1. Suppose -2*w = -l + 2. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -58, -164, -356, -658, -1094, -1688, -2464?\nAnswer: -3446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*q = -4*w + 73, 0 = -4*w - 2*q + 74. Suppose 3*v = w + 26. What is the remainder when 53 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292538?\nAnswer: 2, 107, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*v**3\/7 - 34*v**2\/7 + 12*v\/7.\nAnswer: 2*v*(v - 3)*(5*v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/((-462)\/275))\/(1\/6). Solve -9*w = -4*w - v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g - 6. Let k be y(3). What is the first derivative of -3*u**3 - 6*u**3 + 7 + k*u**3 wrt u?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**2. Suppose q + q = 4. Let h(s) = -2*s - s**2 + q*s + 4*s**2. Give h(o(i)).\nAnswer: 147*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -80 + 67 + -9 - 23\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 383376 and 33026?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*b + 7, 2*m - 2*b + 11 = -3*m. Is m < -1\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 763 + -762. Put 0.08, 7, x in increasing order.\nAnswer: 0.08, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyypypppyyppypqqypyq. Give prob of sequence qyyp.\nAnswer: 224\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -4*o + 2. Suppose -8*a + 5 = -o. Let k(p) = -12*p + 12*p - p**3 + 5*p**2 - 5 + 7*p**a. Let t(i) = -7*i**3 - 6*i**2 + 6. Give -6*k(g) - 5*t(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 474753\/247 - (-3)\/(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 12\/(-3)) + (-2)\/(-6). Suppose -4*k - 3904 + 3908 = 0. Do k and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -582 or -574?\nAnswer: -574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1053.8 and 1.1?\nAnswer: 1052.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 5*k**2 - 5*k**2 - 4*k**2 - 5*k**2 + 2*k**2 + (-4*k + 5*k + 2*k)*(-2*k - 6 + 6) to v*k**2 + b*k + j and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 - 2*w - 3. Let g be p(3). Let q be (-2)\/3 + 3\/g. Suppose -4*y + 5*n - 20 = 0, 0 = 2*y + 3*n + 4 + 6. What is the smallest value in -1, q, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19905 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p**2 + 2*p. Let c(s) = 21*s**2 - 7*s. Let x(j) = -2*c(j) - 7*t(j). Let o = 137 + -135. Let h(f) = -2 + o + 0 - f. What is x(h(i))?\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171519*m**6 + 95*m**2 + m + 187 wrt m?\nAnswer: 20582280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5514, -5513, -5512?\n\"Answer: s - 5515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20527*n - 20529*n + z + 16, 5*n = -9*z + 17 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 974946.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*w + 82 = v, 4*v - w - 173 = 0. Let l(t) = 17*t - 6. Let c be l(12). What is the greatest common factor of c and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r - 47 = 34 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 226 = -0*v + 2*v, -5*k + 580 = 2*v. Let c = -3 - k. Let q = 375 + c. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**7\/5040 + w**6\/90 + w**5\/60 + w**2. Let m(h) be the third derivative of l(h). Calculate m(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**4\/32 + r**2\/16 - 26. Factor f(d).\nAnswer: -d*(d - 1)*(d + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79390201 divided by -4?\nAnswer: -79390201\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q. Let x = -8 + 8. Let a(f) be the third derivative of 0 + 1\/12*f**4 + x*f - 2*f**2 + 0*f**3. What is u(a(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -40, -4, 2, -1\/5, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 176992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1024, 5?\nAnswer: -1024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*n - 128*n - 2 - 122*n + 2.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 21 = -36. Let s be (-2)\/(-10) - (41\/5 + u). Let j(w) = -w. Determine j(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -20*f**2 + 60*f + 60. Let k(l) = l**2 - 2*l - 2. Let q(r) = 30*k(r) + s(r). Let a(i) = 12*i**2. Determine a(q(z)).\nAnswer: 1200*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -12\/119, 4, 1?\nAnswer: -12\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/12)\/(4\/(-18)). Solve -4*q + 0*z = c*z + 1, -z = -2*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + 6*d)*(38*d**2 - 198*d**2 + 11*d**2).\nAnswer: -894*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57605 (base 8) in base 14?\nAnswer: 8ca9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 5. Let w be t(2). Is w less than 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 657*i - 654*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 5*y + 9. Let h(w) = 3*w**2 - 4*w + 9. Let k(l) = -4*b(l) + 3*h(l). Calculate k(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 8:00 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + -2.6. Which is the nearest to -0.3? (a) z (b) 1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*68\/357*(-9 + 2 + -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**5*v - 151*r**4*v**2 + 427*r**2*v**2 + 2*r*v**2 wrt r?\nAnswer: 240*r**2*v - 3624*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 - -2. Suppose -2*l + 7*l - 140 = r, l = 3*r + 28. Let p = -306\/11 + l. What is the second smallest value in 0, p, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a milligram in micrograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 10*j**2 - 7*j - 12. Give a(-11).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + (-5)\/(-3)*(-76)\/76.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 2*f**2 + 2 + 3*f**2 + (0 - 2 + 4)*(2*f**2 - 3 + 3) + f - f + 3*f**2 - 5*f**2 - f**2 + 4*f**2 to x + n*f**2 + w*f and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 7 - 4 + 11*s**3 - 17*s**3.\nAnswer: -6*s**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 26.6. What is f rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 + 80. Let z be (m + -150000)\/((-39)\/8060). What is z rounded to the nearest one million?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61868035 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -507997514, -1015995027, -1523992540?\nAnswer: -2031990053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - w - 5. Let r(l) = l + 27. Let y be r(-12). Suppose q + 2*q + 8 = -4*f, -3*f - y = 0. Suppose 0 = -v - 1, 2*p + 0*p = -4*v - q. What is t(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451818563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1062 (base 10) in base 11?\nAnswer: -886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*y - 28, -3*a + 10 = 2*y - 3. Let k = 2 + a. Let t(f) = f**3 - 3*f**2 + 3*f - 2. Is t(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 4*j**2 - 2*j - 7. What is the smallest common multiple of s(-3) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*p - 113 = -2063. Solve -3*n - p = 4*h - 1, -n - 5*h = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -158.3 + 146. Let s = g - -9. Let f = s - -7. What is f rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224861597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11708837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/11*w**3 + 0*w - 2\/11*w**5 + 0*w**4 + 0 - 4\/11*w**2.\nAnswer: -2*w**2*(w - 1)**2*(w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -8. Let f = z + 79\/4. Let m = -2\/69 - -25\/69. What is the second smallest value in m, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 240*r + 683. What is a(4)?\nAnswer: 1643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -1. Let d = 0 - o. Let t = 0 - 2. Which is the second smallest value? (a) 0.5 (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4646 + -4599. What is the remainder when 149 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 307\/1295 - -9\/185. What is the nearest to 0.1 in g, 14\/9, -4, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 668 + 5?\nAnswer: 66d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*i, -3*i + 15 - 2 = 4*z. Let k be (-1)\/z*(5 + -5). Solve -3*y + 7*y - 12 = k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190, 2, 102, -8, 7, -2.\nAnswer: -8, -2, 2, 7, 102, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (40\/(-25))\/(12\/(-30)). Let q(z) be the second derivative of 0 + 0*z**2 - 9*z + 1\/12*z**t + 0*z**3. Let n(j) = -j**2. Calculate n(q(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/45)\/(2\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 1012414?\nAnswer: -1012404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 499122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of -11*(-30)\/(-6)*208\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.38 + -0.38. Let o be 51\/126 - 3\/(-18). Sort o, f, 2\/25 in ascending order.\nAnswer: 2\/25, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 - 2*q**3 + 0*q**3 + (4*q**2 - 3*q**2 - 2*q**2)*(q + 5 - 5)*(-1 + 3 - 1) in the form p + h*q + x*q**3 + c*q**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*f**3 + 69*f**4 + 50*f**3)*(2*f + 0*f + 0*f)*(4 + 1 - 6).\nAnswer: -138*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75563000 divided by 497125.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2 - -2)*2. Suppose -u + w = 2*u. Suppose 5*a + u + 11 = -3*j, -3*j - 12 = a. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 - 2) + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3247 + 94152\/29. Let u = 23\/290 + x. Is u at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-59414)\/732)\/487 - 14\/(-68)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 62 = 113. Let v = 26 - n. Solve 0 = -5*m - 11 + v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 53*i**9\/168 - i**8\/112 - 181*i**5\/20 + 444*i**2. Find the third derivative of c(w) wrt w.\nAnswer: 19080*w**3 - 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/45 and -62\/614355?\nAnswer: 1843065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29738, 59830, 89926, 120026?\n\"Answer: 2*j**2 + 30086*j - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = 1739 + 1589. Let n = 360 + t. Calculate the greatest common factor of n and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1163900 to the nearest ten thousand.\nAnswer: 1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4491131833 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49 and 3696.\nAnswer: 25872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**3 + 46 - 8*l**3 + 7*l**3 - 2*l**3 + 3*l**3 to d*l**3 + v*l**2 + j*l + k and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 4:47 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 261 = 2078. Let u = 1223 - h. Is ((-4)\/(-3))\/((-4)\/u) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**2 + 30*h**2 + 59*h**2 - 2.\nAnswer: 79*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqj when three letters picked without replacement from {p: 1, j: 1, l: 2, q: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(3\/2))\/r*r**(-3\/7)\/r)**(9\/5) assuming r is positive.\nAnswer: r**(9\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -15*c. Let l be t(-3). Let a = 5 - 31. Let h = l + a. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/11637)\/((-26)\/845909). Let a = -8\/5603 + k. Calculate the common denominator of 49\/4 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23343567 and 1533519?\nAnswer: 210092103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (52\/(-5))\/(8738\/(-510) + 17)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.22975 - -0.12.\nAnswer: 3.34975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3957 + -2340. What is the common denominator of (4 - 2) + (g\/(-24))\/(-7) and -30\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -10. Suppose -2*v = g*r, r + v + 1 = -0*r. Solve 4*s - 12 = 4*d + 2*s, -r*d + 4*s - 18 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 19*k + 20*k - 3479, 3*l - 4*k = -3494. Round l to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.056623, -15.\nAnswer: -15, -2, -0.056623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 18*c + 36. Suppose 0 = c*o + b - 738, 3*o + 5*b = 277 + 473. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5807 = -j - 248, 22216 = 4*j - 3*r. Does 173 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*g = 121*g - 1205 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uduupkppppdp. Give prob of sequence ddu.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 4*b**2 + 4*b - 6. Let r(w) = -w**3 - 3*w**2 + 3*w - 5. Determine -3*n(v) + 4*r(v).\nAnswer: -v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/6)\/((-12)\/(-18)). Solve -2*l = 3*l + x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1734*f - 562*f - 573*f - 587*f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 163323 and 21.\nAnswer: 1143261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60*(-18)\/(-504)*7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5520921, -11041831, -16562755, -22083699, -27604669, -33125671, -38646711?\nAnswer: -44167795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s*z**5 + s*z**3 - 3*s*z**2 - 55*z**5 - 1021*z**2 wrt z.\nAnswer: 60*s*z**2 + 6*s - 3300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-10))\/(10\/440*11). Let t = 0.433 + -0.033. What is the second biggest value in i, -32, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.1396 + -67.858. Let x = 0.107 + 71.893. Let y = x + v. What is y rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/(-528)*(65\/(-3) - 3) and 73\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5*l - 59, -l - 14 = p - 5*l. Let c(w) = w**3 + 19*w**2 + 16*w - 24. Calculate the smallest common multiple of 11 and c(p).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuyuuuuuuuuuuuuuuuuu. Give prob of picking 1 y and 2 u.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (7 + (13 - (15 - 5)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**(-3)\/j))\/j**(-5)*(j*j*(j\/(j*j**(-2\/3)*j*j))\/j*j)**(-1\/7) assuming j is positive.\nAnswer: j**(229\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p. Let h(x) = -2*x**2 - 14*x + 3. Let d be h(-8). Let u be d\/(-52)*1*8. Let m(j) = 0*j - u*j + 1 - 1. Determine m(r(v)).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17988)\/((-4)\/1) + 3. What is j rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 1 - 1)*(4*t**2 - 5*t**2 + 0*t**2)*(3*t + 0*t - 6*t) + (4 - 4 + t**3)*(0*t - 2*t + 0*t).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**3 + 50*n**2 - 21*n - 73. Calculate m(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9219817\/208 + -44326. Let x = 1\/15056 - -323695\/135504. Calculate the common denominator of i and x.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*q**3 + 9*q + 8*q**3 - 15*q**3 wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2105 is divided by 1949?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, 35, 138, 333, 650, 1119?\n\"Answer: 5*b**3 + b**2 + 3*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 172 + 770 = 0. What is the remainder when t is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.6 + 1.4. Let l = 47011\/1197 + -349\/9. Let a = -4\/19 + l. Put a, -0.4, i in ascending order.\nAnswer: -0.4, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 67*t**5\/30 + t**4\/24 - 7*t**2. Let o be u(3). Let w = o - 2325\/2. Find the common denominator of 77\/12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68093223 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -969, -3851, -8643, -15339, -23933, -34419, -46791, -61043?\nAnswer: -77169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 779202, 1558938, 2338676, 3118416, 3898158?\n\"Answer: c**2 + 779733*c - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/2 - -1)*0. Let u = -23284 + 23284. Suppose -2*r - 3*x = 2*x + 7, -2*x = 6. Solve p + 3*y - 16 = u, r*p - y - 12 = -d*y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 - 0.1. Let l = 0 + j. Let h = -129 - -128.8. Which is the nearest to l? (a) h (b) 3\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 + -1. Suppose 2*q = -5*w - 7, -9*w + 13 = -12*w + q. What is the second smallest value in 2, a, 0.1, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 3*g - 3. Let l be a(-6). Let p be (-2)\/(-7) + (-2256)\/(-42). Suppose -l = 3*o - p. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let r(x) = -9*x. Suppose u = -3*p - 17, 2*u + 3 + 7 = 0. Let s(i) = i. Let o(j) = p*r(j) - 42*s(j). What is f(o(d))?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from {n: 1, y: 1, w: 1, l: 2, h: 3, q: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 7 - 51*q**2 + 5 in the form f*q**2 + v*q + x and give f.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/10 - 234\/(-45). Suppose 0 = -o*g - 0 + 5. Let w be (-132)\/405 - (-2)\/5. Is w at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*y + y**2 - 82*y + 160*y - 3*y**2 - 91 to s*y**2 + w*y + h and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + 7*d**2 - 6*d + 13. Let i(n) = -n**3 - 3*n**2 + 3*n - 6. Let u(g) = -13*i(g) - 6*o(g). Let x = -34 + 52. Suppose -5*l + x = -2. Give u(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -348888*t**3 - t**2 - 284456.\nAnswer: -1046664*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4*r - 30 = 5*v, 2*r + 18 = -3*v. Let k be 1 + (4 - (-2 - v)). Calculate the remainder when (45 - (4 - 8))\/k is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -87, -117, -41, 195, 645?\n\"Answer: 9*k**3 - k**2 - 90*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 92*h + 2410 - 3774 - 4736 = 0 for h.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 5:38 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.4, -2\/11, -604, 20\/7 in ascending order.\nAnswer: -604, -3.4, -2\/11, 20\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 15*d - 20. Let p be v(9). Let f(q) = 5*q**2 - 9*q + 1. What are the prime factors of f(p)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**3 - 16*k**2 - 7*k - 3. What is the thousands digit of c(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-1))\/1)\/((-54)\/27).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u - 3. Let c(a) = -117*a - 75. Let m(n) = -c(n) + 24*s(n). Let v(l) = l + 1. Determine m(r) + 6*v(r).\nAnswer: 3*r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/18 + 4\/(-18). Let l = -133 + 138. What is the second derivative of -2*z + l*z + z + z**k wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 524.48 from 0.3.\nAnswer: -524.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-35) - (-23)\/5. Suppose -f*s = 2*g + 10, -5*g = -2*s - s - 37. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 13*u**2 - 36*u + 16*u**2 + u**3 - 7 - 28*u - 62 + 11. Let i be l(-31). Solve k - 12 = i*k, 2*n + 12 = -4*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90.92 + -90.44. Which is the closest to z? (a) -4 (b) 2\/5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1124 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1408 is divided by 766?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 104 = -4*k, -44*k + 41*k = 4*t - 78. Solve -16*n = -3*n - k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.2. Let q = -4.3 + -0.7. What is the nearest to 0 in o, -2\/15, q?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18349 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 4737.\nAnswer: -90003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3\/42*(-5)\/(25\/10))\/(164\/164)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + p + 44. Give t(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + 4*h)*(-6 + 2 - 2) + 1 - 1 + 1 + h.\nAnswer: -11*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291 + 5.\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3702 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 132 (b) -2\/3 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 40808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-18 - -7 - -7) + 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 38?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*d = -0*v - 30, -d = 4*v - 25. What is the third smallest value in v, -0.5, -2, -14\/27?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -731 or -110447\/151?\nAnswer: -110447\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-15) - 8216\/1820.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64\/5 + 4*d**2 - 2\/5*d**3 - 64\/5*d.\nAnswer: -2*(d - 4)**2*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18419, -18395, -18371, -18347, -18323, -18299?\nAnswer: -18275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/35)\/(1\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4463837759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 193455322 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.632*3978\nAnswer: 2514.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3, 3023 in decreasing order.\nAnswer: 3023, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -5, 0.071, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*v - 1, 2*v + 3*o - 2 = 4*o. Let l(c) = 2*c - 4. Let i be l(v). Is (i - 1)\/1 - -12 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.007 - 27.593. Let r = 27.5 + f. Which is the third biggest value? (a) 4 (b) r (c) 1 (d) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/5)\/(t**6*t))**(-49) assuming t is positive.\nAnswer: t**(1666\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1562107040 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*k + 4 = -k, -4*d + 36 = 5*k. Suppose 49*v = 53*v + 4. Is 1*(d + -2)\/v - -381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) -19 (c) -1 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*b - 3*b + 25 = 0, -4*d + 25 = 5*b. Suppose 12*q - 10*q - 8 = d. Suppose q*z = -3*z + 42. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:25 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 12) + -2 + 10 + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.292 - 3.708. What is the second biggest value in p, 4, 1\/25, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*b + 4470 = -160*b. Is b greater than or equal to 745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*y = -18*y - 806208. What are the prime factors of y?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p*p**(-2\/49)\/p)*p*p*p))**(-4\/25) assuming p is positive.\nAnswer: p**(16\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 26. Suppose -5*t = 2*w + g, -4*t - t = -2*w - 10. Suppose -5*r + 208 = 2*f - 137, -r + 3*f + 86 = t. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**4 + 9*c**4 + c**5 - 60*c**3 + 20*c**4 - 15*c**4 + 8*c**4.\nAnswer: c**3*(c - 2)*(c + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1554\/(-8288))\/(3*2\/(-480)))\/((-5)\/(-14)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2, -60, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Suppose -q*a - 2*a = -24. Suppose 64 = -2*z + a*z - 2*o, 2*o = -2*z + 32. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, 2, 0 in decreasing order.\nAnswer: 2, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*sqrt(99).\nAnswer: -108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 289, 670, 1063, 1474, 1909, 2374?\n\"Answer: r**3 + 374*r - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s. Suppose -5*i + 5*a - 50 = 0, -10 = 16*a - 11*a. Let p be (3\/i - (-4)\/(-16))*-20. Solve s = 5*b + 15 + p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16764 by 508.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.2700521.\nAnswer: -0.8101563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 32*n - 55. Let u be m(2). Let w = -3 - -3. Suppose w = -5*x + 4*x + u. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-8))\/(9\/(-4)). Are 2\/15 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**5 + 72*c**4 + 160*c**3 - 300*c**2 - 158*c + 228 = 0.\nAnswer: -3, -1, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/3))**(1\/80) assuming q is positive.\nAnswer: q**(1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48\/(-60) - (-19)\/5 and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8628, -35243, -79858, -142479, -223112, -321763, -438438, -573143?\nAnswer: -725884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 3*o**2 + o + 3. Let g(a) = a**2. Let f be g(2). Suppose 2 + f = -2*y. Is 9 a factor of v(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 1, 18 in descending order.\nAnswer: 18, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + 33 - (10 - -5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 53 = 45 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 45. Calculate p(33).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -556 divided by -139\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7729636 is divided by 15775.\nAnswer: 15661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 28 = -4*l, 0 = 5*l + 14*p + 6*p + 70 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (6 - (-1 - -5) - -25). Suppose t*z = 14*z. Solve 0 = 3*u + b + 3 + 1, u - b = z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -2, -5.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -70825167, -141650324, -212475481, -283300638?\n\"Answer: -70825157*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 24 + 112 - 10 = 0 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-18)*-12*(-4)\/40*5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - l - 264 = 0. Calculate the remainder when 287 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20837927 and 1096733.\nAnswer: 20837927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, r: 4, g: 2, b: 5}. Give prob of picking 1 b and 1 r.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56*2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(18\/(-15))*58\/29?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8842 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {g: 5, p: 3, z: 1, b: 1, n: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9524249 or 9524294?\nAnswer: 9524249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 - -56?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 4*n + 0*n)*(-2*n + 2*n + 7*n).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o + 5*o - 742*o**3 + 5*o + 9*o.\nAnswer: -742*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1\/16 (b) -5366 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2696 and 9593042.\nAnswer: 38372168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgnmmigb. What is prob of sequence gcgi?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95680 divided by -1840.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420 - 685 = -65*q for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 53, 87, 127?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (3 + 0))\/2*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/5, 5\/2, 2\/17 in increasing order.\nAnswer: 2\/17, 2\/5, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10*f - 1010. Let t(v) = 23*v + 2026. Determine 9*b(l) + 4*t(l).\nAnswer: 2*l - 986","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*n**2 - 3 + 63*n**2 - 27*n**2)*(-21*n**2 + n + 28*n**2 + 16*n**2) to the form h*n**3 + v*n + g*n**4 + l*n**2 + x and give g.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - -10. Calculate the least common multiple of 4 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (54\/(-10) - -6)*(-20)\/(-6). Suppose -107 = -u - 3*a, -p*u + 140 + 98 = -2*a. Calculate the least common multiple of u and 20.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -0.16 (c) -3\/2 (d) 0.27 (e) -16 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5642 and 29?\nAnswer: -163618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.248 and 966.\nAnswer: 966.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-22)*(x*(x\/(x**37\/x)*x)\/x*x)\/x)\/(x**(-19)\/(x**(3\/10)*x)) assuming x is positive.\nAnswer: x**(-347\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143)*-3)*-3)\/(1*(sqrt(99) + sqrt(11))).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41.0381236 + 0.0414236. Let k = y + 41. What is k rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**2 - 5*q + 4. Let k(g) = -g**2 - g + 1. Let o(l) = 4*k(l) - s(l). Determine o(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1681 is divided by 751.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -254, -251, -250, -251, -254?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(104)\/(sqrt(8) + sqrt(16)\/sqrt(2)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**(-2\/25)*p))*p*p**(-9)*p)\/(p\/(p*p**(1\/13)*p)*p*p*p**(-4)*p) assuming p is positive.\nAnswer: p**(-1301\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.48 and 89019.69752?\nAnswer: 89018.21752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 7. Let f = j - -7.4. Which is the nearest to 0.1? (a) f (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 4*a. Let z(w) = w**2 + 9*w + 10. Let u be z(-8). Calculate the smallest common multiple of f(u) and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206a4 (base 13) to base 7\nAnswer: -331612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, a: 2}. What is prob of sequence ahh?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - ((-1)\/((-24)\/366) + -8). Let z be 17\/3 + (-6)\/9. Let d be (-2)\/3*3\/z. Which is the nearest to 0? (a) d (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323144.\nAnswer: 2, 31, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7874\/27461 + -4\/3923. Which is the closest to 0.1? (a) f (b) 4\/7 (c) -5 (d) 0.138\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50249.5 to the nearest 100.\nAnswer: -50200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/(-180)*3\/15\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**2 + 9*s - 129. Let n(m) = -3. Let k(l) = 2*h(l) - 6*n(l). Let a(z) = -1. Calculate -72*a(w) - 2*k(w).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 22*l. Let y(j) = j**3 - 9*j**2 + 9*j - 6. Let s be y(8). Let v(k) = 46*k**2 - 95*k**s + 48*k**2. What is v(o(g))?\nAnswer: -484*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -112411402 (base 7) to base 13\nAnswer: -1574aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + r + 5. Suppose 29 = -l - 5*v, -5*l - 2*v - 7 = 23. Let w be d(l). What is the greatest common factor of w and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u**3 + 23*u**2 + 19*u + 9. Let l(a) = -6*a**3 - 23*a**2 - 19*a - 8. Let h(j) = 5*l(j) + 4*r(j). Find the second derivative of h(s) wrt s.\nAnswer: -12*s - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11276162*w**2*x**3 - 7*w**2*x**2 + 12426*w**2*x - 4*w**2 wrt x?\nAnswer: 67656972*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 8. Let y = 676.5 + -677. Which is the closest to 0? (a) y (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-84)\/(-10) + -9*(-306)\/162 + -23. Factor y*p**2 - 2\/5*p**3 - 2*p + 0.\nAnswer: -2*p*(p - 5)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33253 is divided by 16591.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + s - 1813, -2255 = -2*b - 3*b + s. Let x = 0 + 0. Suppose x = -i + 5*i - b. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -459, -2\/3?\nAnswer: -459","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(44)\/sqrt(4) - (sqrt(44) + 1))*-5 - (1*2*sqrt(11) + (sqrt(11) - (sqrt(396) + 0))))**2.\nAnswer: 280*sqrt(11) + 8649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*r - 97*r = -54*r. Solve -14*f + 10*f - 20 = r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(240)\/sqrt(4))\/(sqrt(70)\/sqrt(63)))\/(sqrt(2) - sqrt(12)\/(sqrt(6)*-3) - (sqrt(84)\/sqrt(6))\/sqrt(7)).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1 + 4 + 6*j + 4 - j**2 + 0*j**2. Let d be n(6). What is the units digit of -1 + 28 + (5 - d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zljl when four letters picked without replacement from {z: 1, s: 4, a: 2, j: 1, l: 2, k: 2}?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**5\/9 - 3758*b**4\/9 - 2312660*b**3\/9 - 64974408*b**2 - 5695940304*b + 43144472448 = 0.\nAnswer: -968, -306, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, x: 1, f: 7, s: 3}. What is prob of sequence xf?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 - -69. Solve -8 = -x*z - p, -2*p + 3*p - 4 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -6 - (16 + 0).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.236 + -1932312574?\nAnswer: -1932312573.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 8, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 281?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-14) + 28\/245. Which is smaller: 0.1 or p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 435*j*t**3 - 6*j*t**2 + 2831*j*t + 106*j + 163798*t**3 + 2*t**2 + 2*t wrt t?\nAnswer: 2610*j + 982788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 13*a**2 - 13*a - 5. Let y(v) = v**3 + 12*v**2 + 14*v + 6. Let g(q) = 5*y(q) + 6*z(q). What is the units digit of g(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92213, -184452, -276715, -369002?\nAnswer: -461313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -4 + 16 + -29 + -23 + -2 + -1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -24*p + 4*p + 759. Let d(t) = t**3 - 39*t**2 - 84*t + 76. What is d(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 12, 0.\nAnswer: -1.1, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -45. Suppose 25 = -12*z + h. Solve 0*w + 3*m = z*w + 17, -m + 9 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 55*z**2 + 27*z - 14. What are the prime factors of i(-5)?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 16 = 4*z, 0*z - 3*z + 12 = -4*o. Suppose -2*d + 3538 + 1316 = o. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 - 2*z. Let d be 4\/(-10) - 29\/(290\/(-144)). Suppose -d*x + 6 = -15*x. Let p(b) = -b**2. Give x*p(i) + s(i).\nAnswer: 4*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 20562*c**2 + 35232987*c.\nAnswer: 3*c*(c - 3427)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 j when four letters picked without replacement from {j: 14, p: 5}?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*q - 793500012, 2*y = -4*q - 667342512 + 138342500. What is y rounded to the nearest 1000000?\nAnswer: -265000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)*k)\/(k\/k**(2\/11))*(k\/(k\/k**(-2\/3)))**13 assuming k is positive.\nAnswer: k**(-511\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1910*i**2 + 1916*i**2 - 3903*i**2.\nAnswer: -77*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 0.07 (c) -4 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23220 (base 6) to base 16.\nAnswer: cfc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.06 in -0.4, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28\/35)\/(6\/(-165)). Let v = a - -28. Solve -2*c - c = v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Suppose -5*q + 3 = -4*q, g*q = -4*l + 18. Suppose l*h + b = 20, 0*b = 3*h + 3*b - 18. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12720 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 5*q**2 - q**2)*(2*q**2 + 2*q - 2*q).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**7\/1260 - f**6\/180 - f**5\/20 + 3*f**4\/4 - 4*f**3 - 2*f. Let i(g) be the second derivative of l(g). Solve i(h) = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -b67087?\nAnswer: b67082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149 + 153. Suppose 4*c = -3*t + 1212, 3*c + i*t - 2*t - 908 = 0. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 + 5*j**3 - 6*j**3 + 4*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 962, 953, 938, 917, 890, 857, 818?\n\"Answer: -3*v**2 + 965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5382 and 23023.\nAnswer: 414414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 385508, 385510, 385512, 385514, 385516?\nAnswer: 385518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 13 = -n, -2*f + 2872*n = 2876*n - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 249 - 247. What is the remainder when 20 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*p + 579 = 7. Let s(o) = -7*o - 17. Let z(k) = 6*k + 16. Determine p*z(b) - 3*s(b).\nAnswer: -3*b - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 - 6*w**2 - 62*w - 321*w - 7*w**2.\nAnswer: -5*w**2 - 383*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pai when three letters picked without replacement from {p: 4, y: 3, i: 6, a: 3, g: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (1 - 6\/2). Let o(c) = c**3 + 3*c**2 - 2. Let z be o(-2). Suppose j + x*j = 2*q + 100, -2*j - z*q + 50 = 0. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1103 = -l - 1098 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**(-5\/3)*r)*r)\/(r\/(r\/(r\/(r\/(r*r*r**10*r))*r))))\/((r\/(r*r**(-4\/23)))\/(r**(-2)\/r)) assuming r is positive.\nAnswer: r**(-932\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 z, and 1 m when three letters picked without replacement from gmfffzjgfzjjjzjgzf.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5063533.02 minutes?\nAnswer: 502.334625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*a + 6, 4*m - 4*a + 36 = 0. Let u = 1 - m. Suppose 3*s - 22 = -n + u, -4*s + 44 = 2*n. What is the least common multiple of s and 11?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31756.4 times -0.0581\nAnswer: -1845.04684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {b: 5, h: 1, e: 7, w: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmttmmmtmmmmm. Give prob of sequence tm.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4203 + 23?\nAnswer: -4130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 4, 15, 12.\nAnswer: -5, 1, 4, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -187375579, -187375578, -187375577, -187375576?\n\"Answer: w - 187375580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from {u: 15, b: 5}?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 9*n**2 + 11*n - 4. Let u be o(-8). Calculate the common denominator of 13\/4 and 2026\/u + 36\/234.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*k + 270, 7*k = -3*i + 5*k + 205. Are 65 and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10) - -2)\/(1556\/(-38900)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14350 - 0.15.\nAnswer: 14349.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2800, 2925, 3038, 3133, 3204, 3245, 3250, 3213?\nAnswer: 3128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11203 + -79930\/7. Let d = t + 215. Let j = -2.4 + 2.5. What is the nearest to -1 in d, 2, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -53 - 68 - q + 120. Let z(g) = -3*g - 1. Determine -2*a(b) + z(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7*5\/10*12\/21. Let n be v\/(-18) + ((-1)\/9 - 0). Solve n*c = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -33. Calculate the remainder when v is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**4\/12 - u**2. Let v(g) = 30*g - 182. Let m(o) = 7*o - 42. Let p(j) = 26*m(j) - 6*v(j). What is s(p(i))?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42, 330, 1112, 2634, 5142, 8882, 14100, 21042?\n\"Answer: 41*i**3 + i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 698 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259797 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, -50, -83, -114, -143, -170, -195?\n\"Answer: b**2 - 38*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.502618 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -105a1 (base 12) to base 13\nAnswer: -9a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 154747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -5362.\nAnswer: -5364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726.155 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s - 7 - s**3 + 4*s**2 + 6*s + 4*s. Let y be (15\/(-6))\/((-2)\/4). Let n be j(y). Let u(f) = 3*f - 2. Determine u(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -388 - -383.422. Let n = b + 4.3151. What is n rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15 + -16)\/(1\/(-137)). Differentiate -192 + 288 - m - p**4 wrt p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -31. Suppose 4*r = 5*k + 7 - l, -4*k + 8 = 0. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/3 + 128*p\/3 - 1200.\nAnswer: 4*(p - 18)*(p + 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 19. What is the remainder when s is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3024) + (sqrt(3024) - (sqrt(3024) - (sqrt(3024) + (sqrt(3024) - sqrt(3024)*-2)))*-1)))\/(sqrt(75)*1*3 - -4*2*sqrt(75)).\nAnswer: -12*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + o - 4. Let p(i) = 15*i**2 + 13*i + 14. Let t be p(-1). Suppose -8 - t = 6*x. Calculate k(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Suppose -h - 32 = -2*x + m*h, 32 = 2*x + 3*h. Solve 4 - x = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1340 and 2010?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 82345528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1189*b**2 + 600*b**2 + 92*b + 593*b**2 = 0 for b.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + -1. Let a = -4 - q. Put 5, -0.5, a in descending order.\nAnswer: 5, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*r = 13, -9*d + 2*r = -6*d - 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -128, -253, -378, -503, -628, -753?\n\"Answer: -125*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Suppose -40 = -4*c + 4*l, -2*c + 7 = -5*l - 10. Let b(h) = -141*h**2 + c - 11 + 24*h**2. Determine b(r(y)).\nAnswer: -117*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 50.02. Round h to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w + 2 = 0. Suppose 0 = 4*y - 4. Let f(q) = 2*q**w - 7 + y - q**2 - q**3. Give f(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + sqrt(425) + 1 + sqrt(425) + sqrt(425))*-2*2 + -1 + sqrt(425)*1 + -3)**2.\nAnswer: 1200*sqrt(17) + 95689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -759*h + 16926. Determine a(22).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 40, 2\/5, 2.8, -0.3 in descending order.\nAnswer: 40, 2.8, 2\/5, 2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 13*x**2 + 31*x + 97. Let a be o(-11). Sort -4, -3, 5, 3, a in decreasing order.\nAnswer: 5, 3, a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -3, -2\/3, 13.2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 240\/(-3080)*22\/(-4). Let z(t) be the first derivative of b*t**2 - 4\/21*t**3 - 1\/21*t**6 - 2\/7*t + 6\/35*t**5 - 1\/7*t**4 + 13. Factor z(v).\nAnswer: -2*(v - 1)**4*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14010 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 6886473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/102 and -67\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021303459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = k - 1280. Suppose 2*a + l = 6*a - k, -35 = -a + l. What is the remainder when 59 is divided by a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*b - 355, 5*b = u + 3*b - 133. Suppose 0 = -10*v - 14 - 26. Let n be 150*9\/54*v\/(-2). What is the highest common factor of n and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 9*h + 18 = 5*j, 2*h = -3*j + 3. Let y(v) be the second derivative of 0 + 5*v + 0*v**2 - 2\/3*v**j. What is y(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*i - 99*i + 6448 = 0. What is the remainder when i is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, p: 1, j: 4, q: 6, a: 3, m: 3}. Give prob of sequence mpqm.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 13841529?\nAnswer: 1\/1064733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5200050 (base 6) to base 7\nAnswer: 2054355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237654 is divided by 5703.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -3, 0.11, 1\/5, -2 in descending order.\nAnswer: 1\/5, 0.11, -2\/5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 23*s**2 - 2*s. Let g(j) = -j**2 - 7*j - 8. Let d be g(-5). Let c be a(d). Calculate the greatest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 7:18 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 15271740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 3*o - 8*o, -5 = -5*o. Let f(p) = -p**2 - 10*p - 2. Let g be f(-10). Let k be (-4)\/g + 25\/(-15). Is k greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 1366.\nAnswer: -3, 6, 1366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -117 + 3*f - 105 - 7*f**2 - 4*f**3 - 116 + 338 + 3*f**4 in the form c + r*f + k*f**3 + t*f**2 + w*f**4 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 9:32 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -24*i**2 + 17*i + 23. Let x be w(-4). Let z = x + 696. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -158 (b) -0.03 (c) 2 (d) 19 (e) 243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(((-15)\/(-261))\/(-5)). Calculate the common denominator of (h\/90 + 0)*-9 and (-3)\/(-4) + (-1)\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13427 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37058906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*b + 8*b**2 - 128*b + 17*b - b**2.\nAnswer: 7*b**2 - 187*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = o - 6, o - 3*l = -2*o + 9. Suppose j = 2*s - 3*j - 36, -3*j - 15 = o. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 276*n - 68. Let t(a) = a. Calculate b(t(k)).\nAnswer: 276*k - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*r + 7 = 0, -23*r - 1 = -2*h - 20*r. Which is the fourth smallest value? (a) -2\/3 (b) h (c) -2 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 19*i**2 + 32*i - 8. Let u be -1*((-2)\/(-10) + (-330)\/25). Let w be 1*(-223)\/u + 2\/13. What is the remainder when j(w) is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 2*m**2 - 1. Let j be g(2). Let n(a) = -a - 1. Let o(h) = -3*h + 1. What is j*o(y) + 2*n(y)?\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 3:27 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 r, and 1 e when three letters picked without replacement from {c: 2, i: 4, r: 1, l: 1, e: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18464 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33601?\nAnswer: 33601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 238991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 838*b**2*x**2 - 2*b**2 + b*x**3 + 2382*x**3 wrt b.\nAnswer: 1676*b*x**2 - 4*b + x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10 = -10*z. Is (z + 636)\/1 + -3 + 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/33 - (-5)\/3. Let b be (3 - 3 - 4) + 3. Put f, b, 0 in increasing order.\nAnswer: b, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b = 1315 - 4931. Let g be -1 + (2 + -1 - 52). Let t = b + g. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10066630 and 6510?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31023604 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - b = -23, q + 3*b = -0*q + 14. Suppose 0 = 76*f - 106*f. Solve f = w - q*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 3, t: 1, l: 1, v: 1}. What is prob of sequence mvm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123 + -119. What is the remainder when 13 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 5, 2 in descending order.\nAnswer: 128, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 14820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6e5 + -33?\nAnswer: -728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/5, -1936773, 0.052?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1384\/16)\/((-1)\/(-16)).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 72.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(5\/7)*(j**(4\/13)*j)\/j assuming j is positive.\nAnswer: j**(93\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**3 - 224*i**2 - 212*i + 440 = 0. Calculate i.\nAnswer: -55, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2. Let v(p) = -1163921 + 69*p + 44*p**2 + 1163921 + 36*p**2. What is v(w(j))?\nAnswer: 80*j**4 + 69*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -4. Let z = -45.068 - -45. Let j = z - -0.168. Which is the fourth smallest value? (a) -1 (b) j (c) 1\/9 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154019 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let q(w) = 10*w + 9. Calculate q(r) + 4*v(r).\nAnswer: 6*r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 14 - 2, t - 2 + 17 = l for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3118 + 39251744\nAnswer: 39248626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one fifths of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 944206259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166842 by -93.\nAnswer: 1794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13440 and -0.5.\nAnswer: 6720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -896 - -69338823\nAnswer: 69337927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 526 - 491. Sort s, 4, -2, 2 in descending order.\nAnswer: s, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -20010121120101221?\nAnswer: 20010121120101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1317 and -3.702?\nAnswer: -0.4875534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009732952 rounded to seven decimal places?\nAnswer: -0.0000973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*s - 14. Suppose 22 + 48 = s*g. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*8 - (-3)\/(-3). Suppose 22 = 2*d + 5*c, 0*d - d + 4*c - z = 0. Let o(r) = -5 + d - 3*r + 1 + 2*r. Give o(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - ((-16)\/(-8))\/(0 + -2). Suppose 4*g + 3*n = y*n + 404, 0 = g + 5*n - 123. What is the remainder when g is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04622043 - -0.28.\nAnswer: 0.32622043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 213672787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-4) - 15\/20. Let l(s) = -10*s**2 + 1. Let y be l(1). Let a = y + 14. Solve f = 3*q + 4*m + 32, q + a*m = -q - 33 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-9702)*781 + 14\/3.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/52*(-16 - (-3 - 14)). Put 151, f, -4, 2 in descending order.\nAnswer: 151, 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -4, -5, 769, 2.4, 0.06?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - 2*k + 2*k + (-2*k + 0*k - k)*(2*k - 7*k - 4*k).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(20\/(-8))*-91. Suppose 0 = -2*p + u + 60. Suppose -1 = 6*c - p. Solve 2*t = 7*t - c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.11 * 7.6.\nAnswer: 16.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - 4*v**2 + 4*v - 2. Let z be x(2). Let k be -7 - (-32 - (-40 - -21)). Calculate the greatest common divisor of k and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-148)\/(-150))\/(288\/30). Let z = -1\/45 - i. Let k = 553\/12 + -136\/3. Put 2, z, k in decreasing order.\nAnswer: 2, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 32 + 120 = -37 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8*(-47)\/(6815\/(-348))*(-30)\/477\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -270*v + 1. Let h(p) = 1081*p**2. What is b(h(q))?\nAnswer: -291870*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/13)*p**2*p*p*(p**0\/p)**(6\/5))\/(p*p*p\/(p*p\/(p**(1\/4)\/p))*p*p**(3\/5)*p)**40 assuming p is positive.\nAnswer: p**(-7173\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, q: 2, o: 1, v: 1, i: 2, y: 8}. Give prob of sequence yqy.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.05 + 0.95. Let u be 2 + 18\/(-5) + 2. What is the nearest to u in 1, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/159 + 787\/636. Let a(q) be the first derivative of 0*q**3 + n*q**4 + 6*q + 8 + 0*q**2. What is the first derivative of a(u) wrt u?\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*r**3 + 10*r - 5?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128 (base 10) to base 15.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-8) - 3\/(-12). Suppose v - 5*n - 4 = -1, -n = -z*v + 50. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -13*y + 10. Let g(n) = 38*n. Calculate g(a(v)).\nAnswer: -494*v + 380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*k = -49 - 2, -4*o + 4*k = -172. What is the remainder when o is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 717? (a) -0.5 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 0, 2*o - 5*o - 5*z = 34 - 61 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/8 and 2\/(-2) + (-304)\/(-12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**2 + 6 - 4 - 2.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2742 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -1023042?\nAnswer: -1023034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 plus 1615135046.7?\nAnswer: 1615135060.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, -60\/199, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 11:39 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3587612 = 237*t + 6715261 - 43085612. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002977 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*h + 5. Find t such that 21*t**3 - 4*t**h + 7*t**2 - 20*t**3 + 2*t = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 321 and 238503?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*g + 3 - 784 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62982968 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 i, 1 a, and 1 m when four letters picked without replacement from aecim.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 12*d - 3. Suppose -p + 10 = -2*v + 2*p, -4*v - 48 = p. What is the lowest common multiple of j(v) and 12\/7 + (-2)\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzz when three letters picked without replacement from rzffrrffrrzrz?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21497689*j**2*o**2 - 169*j**2*o - j**2 - o - 6654 wrt o.\nAnswer: -42995378*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - j - 1. Let f = 0 - -5. Suppose 15 = -f*c - 8*z + 3*z, 0 = 5*c + 4*z + 15. Calculate t(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28, 109, 190?\n\"Answer: 81*j - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23448 and 978954?\nAnswer: 3915816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c + 8. Let g be d(6). Let v(x) = 6*x - x + 6 + 2*x**2 + 2*x. What is v(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-91 - -101) + -9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + -3 - 7) + (-2 - 11 - (-4 + -4))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 648224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -241 >= -239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i + 465 = -1032 + 153. Suppose 2*x + 2*t - 4*t = 36, 0 = 2*t - 4. What is the remainder when i is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 4, -4, 1\/3, -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2569367 to the nearest integer?\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-4))\/w*w**(-4)*(w\/(w\/(w\/(w\/w**(2\/5)))*w))**(-3)*((w*w**(-1))\/w)**19*(w*w**(-1\/2)*w)**(1\/2) assuming w is positive.\nAnswer: w**(-329\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r + 2. Let m(y) = 67*y - 3. Calculate 7*b(i) + m(i).\nAnswer: 25*i + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36088 divided by 1.\nAnswer: -36088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*a + 6*a = 10, 5*a + 45 = 4*k. Solve 27*t - k*t = 88 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, d: 4, i: 7, w: 2, h: 5}. Give prob of sequence ti.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -148, -4 in decreasing order.\nAnswer: 1, -4, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -29*g**2 - 8*g - 101. Let o(d) = 50*d**2 + 14*d + 202. Calculate 3*o(c) + 5*q(c).\nAnswer: 5*c**2 + 2*c + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 232.0524 - 232. Let o = d - 0.1074. What is o rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + sqrt(11) + 3)*-5.\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m. Let f(b) = 28*b**2. Determine u(f(c)).\nAnswer: -112*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-306))\/((1\/6)\/(460\/(-2300)))\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*u**4 - 22*u**2 - 444*u - 2.\nAnswer: 228*u**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27182, 27189, 27200, 27215, 27234, 27257, 27284?\nAnswer: 27315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 310688 and 728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.514 + -0.114. Let r = q - 15.4. Let m be (-2)\/(-6) + 22\/6. What is the biggest value in 0.3, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 28*v - 36. Let h(m) = -m**3 - m**2 - 15. Let r be 3 + -4 + (3 + -4)*-1. Let l be h(r). List the prime factors of k(l).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from bkkkbbbb.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 28 = 38. Suppose 3*l - 169 - t = -j, -3*j + 588 = 4*l. Suppose a + 5*s - 71 = 0, -j = -3*a + 5*s - 67. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0. Let k = 1\/2 + -2\/3. Let m = -5803\/15 - -387. What is the biggest value in m, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, -3, 7 in increasing order.\nAnswer: -4, -3, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 676 - 231. Suppose 0 = 2870*t - 2858*t - 39 - 21. Suppose t*z + 4*p = z + 424, s = 4*z - 3*p. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88 - (17 + 87)) + (1 - 34).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a + 403 - 123 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**18*b*b*b**(10\/3)*b*b)\/((b**(2\/43)*b)\/(b\/(b**23*b*b))) assuming b is positive.\nAnswer: b**(37\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7951, -7955, -7961, -7969, -7979, -7991, -8005?\n\"Answer: -r**2 - r - 7949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 2, k: 2, v: 1}. Give prob of sequence vf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*p + 209*p = 204*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, d: 4, w: 5}. What is prob of sequence wdw?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 0 - 5 + 0 - 1 + 71*x + 72*x.\nAnswer: 146*x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 108.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -18*z - 5. Let s(o) = 8*o + 2. What is 6*a(i) + 14*s(i)?\nAnswer: 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u. Let o(g) = 1 - 9*g + 8*g + 0 + g**2. Let j(t) = -t**2 + 2*t - 2. Let k(y) = 3*j(y) + 6*o(y). What is k(v(q))?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16c4b4 (base 16) in base 12?\nAnswer: -5bb618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -4\/7 (c) 10 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11543, 12100, 12655, 13208, 13759, 14308?\n\"Answer: -i**2 + 560*i + 10984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 60. Let d be i\/(-4) + 51\/12. Let z = 54 + -26. Solve 3*y + 32 = -4*b, z = -y - d*b + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 730.21269 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = 15*z + 6. Let y = 1.9 - 1.5. Let u = 2 - 2. Which is the closest to z? (a) y (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 1:49 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8024956 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81271571.\nAnswer: 81271571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 238 = 223*s - 218*s, 5*s = -k + 242. Calculate the greatest common divisor of 1296 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + sqrt(704)*1)*3 + -1*(sqrt(704) + 2 + -4 + 1))**2.\nAnswer: 9776*sqrt(11) + 121185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -5 + (1 - 2) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239812784, 479625566, 719438348?\nAnswer: 959251130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.186681491 and 1222.\nAnswer: 1221.813318509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6682054 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 234442*n**3 - 1187*n**2 + 2*n + 30 wrt n.\nAnswer: 1406652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4))**(-1\/11))**(3\/8)*((o**(-1))**32)**48 assuming o is positive.\nAnswer: o**(-540675\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3674126359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 956124, 1912235, 2868350, 3824469, 4780592, 5736719, 6692850?\n\"Answer: 2*k**2 + 956105*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*l + 8*l + 6*l - 10*l as y + v*l and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/21*6*(-2)\/12.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11000000110000 (base 2) to base 5\nAnswer: 343321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) + (-3*sqrt(104) - sqrt(104)))*-3 + sqrt(104) + sqrt(104))*-2)\/(sqrt(40)\/(sqrt(80)*3)).\nAnswer: -264*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4905939128.\nAnswer: 2, 9439, 64969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 101. Let n = s - 7. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-4*d**3 + 12*d**3 - 22*d**3 - 4).\nAnswer: 28*d**3 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 328908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -835*y + 640135 = 626775 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.8 (b) 7.9 (c) 0 (d) 1\/313\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 738 = 749. Let p be a\/88 - (-68)\/32. Let 4\/5*r**3 + 4\/5*r**p - 4\/5*r - 4\/5 = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.5 - 0.5. Let v = -12 + h. Which is greater: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/3300 and 56\/2475.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -20, -z = z - 5*v - 35. Let o(q) = 3*q - 3. Let f be o(z). Let m(i) = i**3 - 10*i**2 - 7*i + 1. Is m(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -344 - -358. Let g = -13.9 + c. Let u = -98 - -63. Which is smaller: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0134 + 6400?\nAnswer: 6400.0134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 8, -2, -13, -1, 4 in decreasing order.\nAnswer: 8, 4, -1, -2, -13, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 2:56 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1599448850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 - -60. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**5\/60 + h**4\/12 - 2*h**3\/3 + 8*h**2. Calculate q(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -25. Let x = k + 15. Solve -3*c = h - c + x, c + 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.1614*-0.9.\nAnswer: -24.44526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 515*b**3 - 2 - 7*b**2 - 512*b**3 + 1 - b as l*b**3 + v*b**2 + j + i*b and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 18*u**2. Let p(c) = -52 - 7489*c + 7467*c + 52. Give p(t(r)).\nAnswer: -396*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 = 4*l, -5*l + 3*p - 8 + 40 = 0. Solve -t + 5 = l*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, a: 1, q: 1}. What is prob of picking 2 q and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41034698.\nAnswer: 2, 20517349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8300 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/(-10))\/2)\/(36\/35 + -1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**4 - 5 - 4*j**4 - 3*j**2 - j + 2*j**3 + 6 - j in the form l*j + s*j**2 + d + r*j**4 + y*j**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 j when three letters picked without replacement from znjnzjvv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17748489*q**2 + 44474081 wrt q.\nAnswer: -35496978*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2230*l + 115623 = -1757*l for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g. Let v(o) = -1. Let h(f) = -2*f + 6. Suppose 4 = l - 2. Let s(c) = l*v(c) + h(c). Give w(s(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 1:41 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:24 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341e (base 16) to base 4.\nAnswer: -3100132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhdyddhyhdhhm. What is prob of picking 2 y?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3*m**2 + 8*i**3 - 61*i**2*m**2 - 2*i**2*m + 32*i**2 + 4370*i*m**2 + 3847*i*m wrt m?\nAnswer: 2*i**3 - 122*i**2 + 8740*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004682593 rounded to six decimal places?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 4 + -6)\/(-3 + 2). Suppose 4*d = s + 27, 4*d + b*s - 7*s = 36. Put -5, -1, d in increasing order.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r - 16. What is the least common multiple of o(3) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 80534?\nAnswer: 80538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4046353 (base 9) in base 13?\nAnswer: -5a684c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + -4 + 4 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 20 - 4. Suppose -m*y = -355 + 75. Suppose n - y = -9. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/10)\/((-351)\/117). Sort -0.2, -6, k.\nAnswer: -6, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*m + 36*m - 34*m + (-m + 3*m - 4*m)*(0 + 1 + 1))*(-17*m + 41*m + 7*m + 60*m).\nAnswer: -4732*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19833 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**2\/2 + 3*c - 11. Let q(w) = w - 2. Determine -6*p(d) - 4*q(d).\nAnswer: 2*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/23 (b) 1.8 (c) 1 (d) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74030516*k**5 - 7*k**4 + 478330757*k?\nAnswer: 1480610320*k**3 - 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -14, -16, -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 975027, 1950066, 2925109, 3900156?\nAnswer: 4875207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 5*o + 517, 2*u + 269 = -0*u - o. Let a = -77 - u. What is the highest common factor of 16 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 100*d - 329*d - 24 + 228*d + 3. Give i(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1597 and 1594 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 3. Suppose -1 = o*h + j - 10, 3*h + 5*j = 11. Suppose 0 = 3*l + 3*y - 12, -3*l + 5*y = -6 - 6. Put -2, h, l in increasing order.\nAnswer: -2, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 5*t**2 + 9*t + 21. Let x be q(-4). Let o(g) be the first derivative of x - 4*g - 1\/2*g**2. Calculate o(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxhhhoooohxooo. What is prob of picking 1 x and 2 o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 287959\/3531 - 897\/11. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9186810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*r**2 + 79*r**2 + 76*r**2 - 283*r**2.\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1100001?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 5*n + 3*q = 0, -2*n - 15 = 5*q. Suppose -n*g + 0*g = -10. Solve -c + v = c - 4, -c + g = -5*v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 4*m = 4*g - 8, 2*m - 2 = 0. What is the common denominator of 95\/8 and g\/8*(-196 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 41288, 82574, 123860, 165146, 206432?\n\"Answer: 41286*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 2*t + 0*t)*(-4 + 1 + 5) - 4*t + 4*t + 2*t + (0 + 0 - 2*t)*(-2 + 5 + 0) + (-3*t + t + 3*t)*(1 + 1 - 1).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -900b01?\nAnswer: 900b03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/18*0\/(-1). Suppose -1113 = -27*w + 34*w. Let y = -154 - w. Solve -y*n + l = -15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*h - 78*h - 44539. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -67*s - 1504. Let u be r(-23). Let m(w) = w**3 - 35*w**2 - 73*w - 35. What is m(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -239\/43 or 2\/10633?\nAnswer: -239\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/60 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2128278 and 5675408.\nAnswer: 17026224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**5 - 1200*c**4 + 3570*c**3 - 3560*c**2 + 1185*c = 0. Calculate c.\nAnswer: 0, 1, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 at least -333549124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22550*s - 163084*s**2 - 22550*s.\nAnswer: -163084*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/7)\/s)**(-23))**(10\/3) assuming s is positive.\nAnswer: s**(920\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3562033*i + 2603097 wrt i.\nAnswer: -3562033","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -8848 + 8850. What is the third biggest value in -0.3, a, 0.08, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-three quarters of a microgram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24268269 and 1146.\nAnswer: 48536538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 + 2*v**2 - 3*v - 1. Let s(k) = -k**2 + k. Let g(c) = -s(c) - w(c). Let m be g(2). What is the units digit of (20\/m)\/(4\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4 - 3\/2*d**2 - 5\/4*d.\nAnswer: -(d + 1)*(6*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.64927611 + -2.507275583. Let j = k + -0.142. What is j rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1631 + -544. What are the prime factors of x?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -141\/20*f**5 + 147\/8*f**4 - 9*f**2 - 105 + 0*f + 7\/8*f**6 - 13*f**3. Determine d so that k(d) = 0.\nAnswer: -2\/7, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*m + 6 + 4, -m = 5*t - 31. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 798\/859?\nAnswer: 798\/859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23480383*q**3*t**3 + 61*q**2 - 105*q*t**2 + 4*t**3 - 160*t**2 wrt q.\nAnswer: -140882298*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*w + 29, -2*w - 6 - 10 = 3*t. Let i(p) = p**2 + 8*p + 15. What is the remainder when ((-8)\/t)\/((-2)\/(-4)) is divided by i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(700) - (sqrt(700) + -1 + sqrt(700)*-2) - sqrt(700))*4)**2 - (-2*sqrt(63)*-3 - sqrt(63))\/(-6*(sqrt(27)\/sqrt(3) - sqrt(9)) + sqrt(9))) + 2.\nAnswer: 315*sqrt(7) + 11218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -190*a**2. Let k(r) be the first derivative of 8*r**3\/3 + 1104. Give k(s(w)).\nAnswer: 288800*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -728, -3001, -6784, -12071, -18856, -27133, -36896, -48139?\n\"Answer: q**3 - 761*q**2 + 3*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/37? (a) 3 (b) 0.1472 (c) -0.2 (d) 2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16136 is divided by 424?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 214 + -12. Find the common denominator of 65\/9 and (-2)\/10 + a\/35.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -1\/4*l**2 - 51\/4*l + 135 = 0.\nAnswer: -60, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 14. Let g be (-127)\/n - (-6)\/(-8). Suppose -s + 160 = g. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1832051999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/25)\/(1\/5). Suppose -1 = p - 7. Calculate the greatest common factor of u and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1731*l = 1696*l - 420 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2156) + -1.\nAnswer: -1 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.073 - -0.073. Suppose 5*z + 5*d - 8 + 3 = 0, -2*d = -4*z - 20. Let j be (2\/2)\/(z\/9). Sort j, 0.4, c in decreasing order.\nAnswer: 0.4, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**3 + 3*d**2\/2 + 7*d - 2. Let o(i) be the first derivative of z(i). Differentiate o(y) with respect to y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8273751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*b + 29*b + 44*b as y + n*b and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-20)*(1848\/(-458) - -1). Let w = q - 2\/229. Which is the closest to 0.1? (a) -1\/4 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -81. Let x = j + 30. Let i = 70 - 69.7. Which is the smallest value? (a) i (b) x (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -501 + 497 + (0 - -35) + 8.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2720 by 2720.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2236\/86)\/((-2)\/14)*4\/(-8).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*h + 1424 + 1456. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 227396?\nAnswer: 68218.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/28 and -43\/1356.\nAnswer: 9492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14170 + 2?\nAnswer: -1416a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 5125 = 4*u + 5*n, 0 = 3*u + n - 3834. Let i = -641 + u. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 655838456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 + -72. Suppose -3*r + 19 = 5*d - 20, -2*r - w*d = -27. Suppose 4*z - 81 = z. Calculate the highest common divisor of r and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11544 and 3033?\nAnswer: 11670984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 343, -1, 5, 7, 0, -2 in decreasing order.\nAnswer: 343, 7, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/5, -5, 2.278 in descending order.\nAnswer: 2.278, 2\/5, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 2*p**2 + 1. Let g(d) be the second derivative of -d**4\/12 - 6*d. What is g(w(s))?\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1438 - 1443. Let a(f) be the first derivative of f**5\/60 + f**4\/4 + 5*f**3\/6 + f**2\/2 - 3. Let g(x) be the second derivative of a(x). Determine g(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 34 + 6. Let m = -5 - y. Suppose 38 + 102 = m*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(162)\/(sqrt(150)*-3 + sqrt(6)))\/(sqrt(90)\/(sqrt(10) - sqrt(60)\/sqrt(6)*5)))*5.\nAnswer: -25 + 10*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, k: 3, t: 5, b: 1}. What is prob of picking 1 z and 1 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2383 + 2383 - 142*w + (2 + 0 + 0)*(-4*w + 4*w + 2*w) - 3*w - w + 0*w)*(2 + 1 + 0) to a*w + c and give a.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**6\/90 + 7*v**5\/30 + 2*v**4 - 31*v**3\/3 + 12*v. Let r(b) be the second derivative of n(b). Factor r(f).\nAnswer: 4*(f + 3)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-184)\/(((-4736)\/32)\/(-37)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f - 9 = -32*f - 3*s, 3*f - 22*s = 53. Let t = -1 + 0.8. Put f, 7, 2\/9, t in descending order.\nAnswer: 7, f, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210586171?\nAnswer: 4153, 50707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*p**2 + 6*p**2 + 0 + 5*p + 0 wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16285976.94 rounded to the nearest 1000?\nAnswer: 16286000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 4574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -41*u**4 - 9*u**3 - 9*u**2 - 9*u - 19. Let f(h) = 10*h**4 + 2*h**3 + 2*h**2 + 2*h + 5. Let x(j) = 9*f(j) + 2*z(j). Differentiate x(m) wrt m.\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 17 = 2*v - 8*o, 5*v - 5*o - 30 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10011101 (base 2) to base 9\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rob when three letters picked without replacement from dbdfforibifb.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7534 is divided by 43?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 22812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-242)\/(-6) + 16\/24. Let v(j) = j - 41 + i. Let q(c) = 5*c + 2. Give q(v(w)).\nAnswer: 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 43*d + 7*d + 17*d + 16*d - 3*d + 5.\nAnswer: -6*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2 + 7*n - 7. Let q(y) = y**2 - 3*y + 3. Let l(t) = -3*a(t) - 7*q(t). Let z(o) = 4*o - 2*o + 2*o - 3*o. Give z(l(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i + 9. Let p(j) = -9*j - 13. Suppose 0 = 5*a - 3*o - 37, -4*o - 90 = 2*a - 84. What is a*p(b) + 8*v(b)?\nAnswer: 3*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -54464000 rounded to the nearest 100000?\nAnswer: -54500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -29. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*s**4 + 332*s?\nAnswer: 516*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15215 (base 6) to base 10.\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 3, -267 in increasing order.\nAnswer: -267, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-99)\/(-3))\/1 + (1 - 2). Let z be 820\/w*(-2)\/5. Which is smaller: z or -9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 472?\nAnswer: 8024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -34*n + 1. Let f(c) = -102*c + 3. Let h(v) = -2*f(v) + 7*u(v). What is the remainder when h(-1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10896 divided by -4.\nAnswer: -2724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 33 - 13417*k - 86 + 34 in the form v*k + o and give v.\nAnswer: -13417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -586, -5 in decreasing order.\nAnswer: 9, -5, -586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/2 - 81*p**3 - 395*p**2\/2 + 458136*p - 12832858 = 0. Calculate p.\nAnswer: -74, 34, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 689 in ascending order.\nAnswer: -6, 5, 689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*q**2 + 101*g*q + 198*g - 2640*q**3 - 40*q**2 + 1 wrt q?\nAnswer: 2*g - 15840*q - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472061507.\nAnswer: 29, 947, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 656660*k**2 + 21561431040*k + 86235217920.\nAnswer: 5*(k + 4)*(k + 65664)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(45\/((-3780)\/(-48))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 8*r**3 + 388*r**2\/7 + 608*r\/7 + 276\/7 = 0.\nAnswer: -69\/14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(-1\/43)\/(y\/y**(2\/5)*y)**46)**(-9) assuming y is positive.\nAnswer: y**(3312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219125 divided by 6.\nAnswer: 219125\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1, 5, 1\/43 in decreasing order.\nAnswer: 5, 1, 0.5, 1\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10094 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -618*h**2 + 54*h + 52. What is c(-1)?\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 1:40 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.053+642.88\nAnswer: 642.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8288.719 hours to milliseconds.\nAnswer: 29839388400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 3:29 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1933187495?\nAnswer: 5, 1733, 223103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -207\/127, -11, 3, -0.3, -0.1 in descending order.\nAnswer: 3, -0.1, -0.3, -207\/127, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 468, -5, 8, -1.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-2)\/(-103 + 69))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, a: 1}. What is prob of sequence ba?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 219382 to the power of 1\/2, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 18 and -2511.9.\nAnswer: -2493.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 97302 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 2*t**2 + 9*t**2 + t - 2*t - 6*t**2. Give r(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 8. Solve -8 + 4 = s*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*v = 95*v - 73*v + 4026 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-36)*t**9*t*t)\/(t**(-1\/68)\/((t**32*t)\/t*t)) assuming t is positive.\nAnswer: t**(545\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11415 (base 8) to base 5.\nAnswer: -124002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**5 - 4*g**4 - 7*g**2. Let j = -2 + 6. Let t(h) = -4*h**5 + 5*h**4 + 8*h**2. Let b(i) = j*t(i) + 5*r(i). Find the third derivative of b(o) wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 31*o + 165. Let b be y(-5). Suppose -8*m + b*m = 3*q + 1, 4*m = 4*q + 8. Solve 3*z - 23 = -5*s, q = z + s - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -0.3, -1\/14.\nAnswer: -5, -2, -0.3, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20328 and 4.\nAnswer: 20328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -872.31 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32013, 32064, 32115, 32166?\n\"Answer: 51*g + 31962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/15*u**2 - 14\/3*u - 2\/15*u**3 - 98\/15.\nAnswer: -2*(u - 7)**2*(u + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l - 49*l**2 - 11*l - 13*l**2.\nAnswer: -62*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7626900 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*3*(-2 + sqrt(99)) - (sqrt(99) - (sqrt(99) + sqrt(99) + (sqrt(99) + -3)*-4 + sqrt(99)))*4))**2.\nAnswer: -96876*sqrt(11) + 526095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -7533223?\nAnswer: -7533223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 17 = -o, 21 + 22 = 4*r + o. Solve r = 5*p - 8*k + 3*k, -5*p + 18 = 3*k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.5263 - 0.0537. Let y = -4.579602 - m. Round y to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-196)\/84*(11\/(-4) - (-26)\/(-104)). Suppose 4*b - 3*c - 2*c - 33 = 0, -b + 4*c = -22. What is the greatest common factor of b and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -15. Suppose 4 = c + m. Let o be (-11)\/(-30) - 1\/2. What is the closest to c in -1\/6, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -13*r + 33. Let q be j(2). Suppose -n = -2*c + 11, -q*n = c - 2*n. Let d(i) = i**3 - 4*i**2 - 2*i - 5. Determine d(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15505 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*g + 9. Suppose 264*t - 24*t**2 - 4356 + 17*t**g + 3*t**2 = 0. What is t?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 9321 = -3681. Suppose h = -20*u + 5385. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + h**2 - 1. Let d(q) = -5*q**3 + 3*q**2 - 7*q - 101. Let r(p) = d(p) - 3*x(p). Find the first derivative of r(i) wrt i.\nAnswer: -6*i**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 12 = -4*y. Suppose -2*o = 2*g - y, -4*o + 6 = o + 2*g. Suppose -3*j + 1329 - 288 = o. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, -0.1, 5, -75, 3\/8, -2\/3505, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*u - 47 = 205 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -11. Let h(q) = -q**2 - 12*q - 7. Let z be h(k). Solve -4*w + 8 = z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 311*3\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 27*j**5 + 260799*j**4 + 578664*j**3 - 7301076*j**2 - 3705408*j + 27812160 = 0.\nAnswer: -9657, -6, -20\/9, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 1, p: 4, v: 6, c: 3}. What is prob of sequence cu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 341168 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -115 - 113. Is 39 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37331\/8 - -4679. Let x = -908 + 3583\/4. Calculate the common denominator of x and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 985876146?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 3635148\nAnswer: 5\/3635148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-7))\/l*l*l)\/l*l*l)\/l**(-9))\/((l*l*(l\/(l*l**(-39)))\/l*l*l)\/(l\/l**(-4\/13))) assuming l is positive.\nAnswer: l**(-464\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*w + w + w)*(-1 + 3 - 4) + 5*w + 0*w - 4*w)*(-129226 + 129226 - 7641*w).\nAnswer: 22923*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4))**18\/((w\/(w\/((w*(w**(-1\/2)*w)\/w*w*w)\/w)))\/w)**9)**(-3\/5) assuming w is positive.\nAnswer: w**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -303 - -306. Is 20 a factor of 136\/(-6)*(45 + m)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**12\/z))\/(z*z**(2\/35)*z*z)*(z*z**(-1\/3))\/(z\/((z**7\/z)\/z)) assuming z is positive.\nAnswer: z**(-881\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 2259\/(-207))*(-4)\/(-8)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:04 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -19193762 at least as big as -19193769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 1 + 2\/1. Suppose -j*r - 45 + 158 = 2*c, 0 = 2*c + r - 93. Calculate the remainder when c is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1339336 divided by 1334.\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21 - 9)*((-26)\/8 + 4). Is ((-3)\/o)\/1 + (-519160)\/(-30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.67828nm to kilometers.\nAnswer: 0.00000000002667828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -517136 to the nearest one thousand.\nAnswer: -517000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5515539 is divided by 1806.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 2. Let r be 50\/(-72)*40\/g - -3. Let a = -0.2 - 0.8. What is the nearest to a in r, -12, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + t - 38. What is the remainder when t is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 1. Let y be v(-1). Let o(g) = -2*g - 2. Let a be o(-2). Let s(m) = 1. Let f(j) = -2*j + 2*j - j + 2*j - 1. Calculate a*f(z) + y*s(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 50 = 34 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38138, -37992, -37822, -37616, -37362, -37048, -36662?\nAnswer: -36192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 10*u**2 - 22*u - 17. Let k be w(12). Let z(l) = -14*l + 5*l + 9 + k*l. Calculate z(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1605 to 3 decimal places.\nAnswer: -0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 18 = -60. Calculate the highest common factor of y and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 - 12*u + 23. Let q be p(5). Let w = -79 - q. Let i = w + -27. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/1)\/((-304)\/48 - -6). Solve -2*q - 2*t = 10, -q + r*t + 15 = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4052.02 to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2031 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w + 2*w**3 + 13*w + 3*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 36 = g. Let o = g - -18. Let i = o - 21. Calculate the remainder when i is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 1. Let q be 56\/10 + -2 + 24\/10. What are the prime factors of q\/s + (-104)\/(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 932308 and 1144?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3958 - 3927. Calculate the remainder when 708 is divided by u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 - -0.7. Let g = 3.8 - t. Let o = -1.2 - -1.2. Put 3\/4, o, g in decreasing order.\nAnswer: g, 3\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3, -61, -1\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87 by -87.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) - (-4)\/(-6). Let h = -1.5 + 12.5. Let f = -10 + h. Which is the second smallest value? (a) f (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 2)*(5*x - x - 2*x)*(-2 + 3 - 3) as t + w*x and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*u**4 + u**4 - 12*u**3 - 4*u**4 + 12*u - 8 + 4*u**2.\nAnswer: 4*(u - 2)*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23509 is divided by 96.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -856\/11 - -78. What is the third smallest value in 20, 5, g, -3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -30*y + 15. Let m(q) = 44*q - 30. Let z(i) = 3*m(i) + 5*o(i). Determine z(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 2329 = -3*b + 3*d, 0 = 5*b + 2*d - 2326. Let a = b - 458. Let u(w) = -w**2 + 4*w + 6. Calculate u(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 65 + (3 + 1 - (-4 + 10)). What is the highest common factor of 2898 and d?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1527255455?\nAnswer: 5, 11, 31, 113, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*(sqrt(17) + 3 + sqrt(68) + sqrt(17)) + sqrt(51)\/(-6*(sqrt(3) + sqrt(27)\/sqrt(9) + sqrt(3)) + sqrt(3)))**2.\nAnswer: -720636\/17 - 61380*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 10*q - 10. Determine g(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**3 + 57*c**2 - c - 14. Suppose 38 = 83*h - 85*h. Let x be y(h). Solve -16 = b - x*a + a, 4*a - 4 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 16b558?\nAnswer: 16b55a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 3:15 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 285733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from kiiuiiiittuu?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40033*c**4 - 243*c**2 - 44*c.\nAnswer: -960792*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4528790365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 599 + 2 + -4. Suppose 0 = -4*c - c + n. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4452154 millilitres in litres?\nAnswer: 0.0004452154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 11. Let v(z) = -z**2 + 10*z - 6. Let o be v(10). Let d be p(o). Which is the closest to d? (a) 3 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 3. Suppose 2*j - 5*m - 13 + 65 = 0, -24 = j - 2*m. Let x = c - j. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1386879564 to the nearest integer?\nAnswer: 37241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8*i**2 - 16*i - 18. Let z(h) = -4*h**2 - 10*h - 11. Let b(q) = 3*n(q) - 5*z(q). Give b(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -873*g**2 + 9*g - 1031. Let m(t) = 6104*t**2 - 60*t + 7216. Let f(n) = 3*m(n) + 20*o(n). What is the first derivative of f(a) wrt a?\nAnswer: 1704*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w + 4*y + 1 = 24*w, 0 = -3*w - y - 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -0.1 (b) -0.5 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 13.8. Let k = 49892 - 49891.20003. Let t = m - k. What is t rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 0. Let f = 1052 + -1049. Solve -y = 2*a - f*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b + 45. Let f be (-28)\/8 + (-1)\/2 + -1. Let j be v(f). Suppose 5*q - 5*h = 1590, -j*q + 2607 = -h + 1029. Does 25 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.8264861 to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 + -90. Solve 3*l - z = -16, -s*l = -4*l + z - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.1078341 to one dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 41*(-1)\/(-1) - 2. Let k = 37689 + -37684. Sort k, -2, a in ascending order.\nAnswer: -2, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -38 - -36 - 24\/(-4). Solve 0*z - 10 = 2*z, -2*v - 24 = f*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252850, -2022688, -6826512, -16181314, -31604086, -54611820, -86721508, -129450142?\nAnswer: -184314714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -39. Suppose -5*y + 3*v = -7, b*v + 0 + 2 = 2*y. Suppose 0 = -5*u + 3*s + 386, 2*u - 300 = -2*u - y*s. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m**4 + 3*m**4 + 3*m**4)*(8*m + m - 3*m).\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = -2*i + 4*r - 10, r + 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.14 rounded to 0 decimal places?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -11, 0.5 in ascending order.\nAnswer: -11, 0.5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 + -2 - (-59 + 59)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1498570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -13. Let g be v\/(-2) + 21\/6. What is the third derivative of -60*b**5 + 66*b**5 - 3*b**g + 7*b**2 + 3*b**3 wrt b?\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13539*-0.7\nAnswer: 9477.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3365, 6716, 10069, 13424?\n\"Answer: u**2 + 3348*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.92116 millilitres?\nAnswer: 0.00492116","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*y + 216 - 763, y = 2*n - 1085. Let z = n + -230. What are the prime factors of z?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -2)\/((-1)\/3). Suppose 3*j - q*i - 111 = 0, j - 9 = 5*i + 12. Let u = 711 + -689. Calculate the remainder when j is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + q + 128 = -426, 2*h = -3*q + 362. Let f = h - -8. Suppose 5*d = -558 - f. What is d rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1633 (base 12) in base 14?\nAnswer: -d5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120403403 + -2?\nAnswer: 120403401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2913 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.34237 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -58 (base 12) to base 10\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**2 - 12*k**2 + k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p**3 + 14*p**2 + 6*p - 11. Let l(s) = 2*s**3 + 5*s**2 + 2*s - 4. What is 4*a(q) - 11*l(q)?\nAnswer: 2*q**3 + q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 31.227 (b) -6 (c) 1\/5 (d) -1\/3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*m + m - 2*m)*(2 + 1 - 5) + m - 3*m + 3*m)*(-2*m - m - 5*m).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 288\/(-1792)*14*240\/(-108)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*f = 6, 3*s + 5*f + 6 = -7. Suppose j - s*o - 3 = 0, 0 = -2*j - 2*j + 3*o + 12. Let w(a) = 5*a - 1. Is w(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 2 - 1 - 1.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 450 + -3148\/7. Suppose -m*v**3 - 6\/7*v - 8\/7*v**2 + 0 = 0. What is v?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340099953 - 340099953 - 3*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12959480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -26*r**2. Let i(h) = 9*h. Give i(w(n)).\nAnswer: -234*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(132\/(-9))*28\/6?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39022 by -2.\nAnswer: -19511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + 32822784.9?\nAnswer: 32822785.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 3*l + 3. Let x be h(-3). Suppose -5*r = 3*p - 3*r - 11, p - 5*r + 19 = 0. What is the greatest common divisor of x and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -153 + 383. Let t = -135 + d. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301143444 (base 5) to base 13.\nAnswer: 32a3b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10783 - -10757. What is the nearest to h in 2\/11, 1, 24?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bk when two letters picked without replacement from {b: 3, k: 4, p: 6, q: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2974 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, c: 3, b: 4}. Give prob of sequence bf.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504413 and 4277.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**2 - 29*j - 20. Let k = 11944 - 11948. What is p(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (484*g - 2 - 252*g - 244*g)*(-2*g + 5 - 5).\nAnswer: 24*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d + 29. What is a(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from lllpllpbll?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 2*l**3\/3 + 22. Let z(i) = -8*i. What is z(j(y))?\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*f**2 + 0 + 2\/7*f**4 + 344\/7*f + 340\/7*f**3.\nAnswer: 2*f*(f - 1)**2*(f + 172)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4742, 9482, 14222, 18962, 23702?\nAnswer: 28442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 3. Calculate w(22).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4 = 13220*r - 13222*r, 3*r = f + 3 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42*a**2*b - 8*a**2 - a - 2069*b wrt a?\nAnswer: -84*a*b - 16*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3 = 3*t, 4*t + 5*o + 8 = 4*o. Let u = 5.1 + -5. Which is the third smallest value? (a) u (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 15 = -10*p - i, 0 = -p - 3*i + 27 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**2 + 3*a - 3*a + (-6*a**2 + a**2 + 3*a**2)*(2 - 3 + 3) + (a + 1 - 1)*(3*a - 5*a + 0*a) - 4*a**2 + a**2 + 4*a**2)*(0*a**2 - 8403*a + 8905*a + a**2).\nAnswer: 2*a**4 + 1004*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.9 - -18.9. What is the second biggest value in -4, -17, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/9))**(4\/19))**(33\/4)*(v*v\/(v*v**2))**30*(v\/(v\/(v\/(v\/(v*v**(-1)\/v)))*v)*v)\/(v*v**(2\/17)\/v) assuming v is positive.\nAnswer: v**(-30527\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*(-40 - (-1771)\/44).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = -80. Find the common denominator of 81\/8 and 33\/(-44) + (-27)\/j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 139724.3 micrograms?\nAnswer: 0.0000001397243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11593280 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1 (b) 0.9811 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 30*i + 15 - 3*i + 136 - 18*i. Let u be t(-15). Suppose -2*h + 12 + 4 = 0. Calculate the greatest common divisor of u and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -16*i + 40. Let b be o(-7). Let h = 109 + b. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(833) + 3)**2*5.\nAnswer: 210*sqrt(17) + 4210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6721 - 5321. Calculate the highest common divisor of 2600 and h.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 45183672.\nAnswer: 45183672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12, 266, 544?\n\"Answer: 278*y - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 + 936*x**2 + 93821*x + 92886.\nAnswer: (x + 1)*(x + 113)*(x + 822)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from podqprpqqrt. What is prob of picking 1 d, 1 o, and 1 t?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 683 by 64.\nAnswer: 683\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2997 - 0.7997. What is the closest to -8 in -0.4, f, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21 and -82501.\nAnswer: -82480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 2*r + 3*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*w + 6. Suppose w - 1 = o. Let p(d) be the second derivative of -d**5\/20 + d**4\/6 - d**3\/3 + d**2\/2 + d. Give p(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 39107*a**3 - 9 - a**2 + 22687*a**3 + 8 + a - 7264*a**3. Let l be p(1). Let y = l + -94029. Round y to the nearest 1000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 7*l - 256. What is z(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/10*-1*-3*(-18260)\/(-65736)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1932152025 to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -40008*93\nAnswer: -3720744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 84*c + 75. Let z(y) = 126*y + 122. Calculate -8*s(u) + 5*z(u).\nAnswer: -42*u + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333565485 divided by -30324135.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (146\/(-4) - 0) + 2\/(-4). Let w = p - -41. Suppose w*i - 6 = 2*o, o + 2*o - 35 = -5*i. Solve -2*d - 16 = -2*k + i, 3*k = 5*d + 40 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 730183.2ml in litres?\nAnswer: 730.1832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8946184?\nAnswer: 2, 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6 - 8916\/(-672) - (-14)\/(-2) and -113\/1310.\nAnswer: 36680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 47360*r - 140185600.\nAnswer: -4*(r + 5920)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/679 - -10189\/1358. Calculate the common denominator of r and 13\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -22*r - 258 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6367532156?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277, -1098, -2469, -4396, -6885, -9942, -13573, -17784?\nAnswer: -22581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v**4 + 3*v + 0*v - 4*v + 80*v**2 + 5*v + 152*v**2 as p*v**3 + h*v**4 + b*v + z + g*v**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -63*t**2 + 3563*t + 13013. Calculate d(60).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 12:39 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = -5*w + 4*w, 5*f = 3*w. Let i = w + 5. Factor 0 - 2*t**3 - 3*t**2 + i + 5*t**2.\nAnswer: -2*t**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8)\/((24\/(-42))\/((-10)\/(-5)))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 7*u - 2. Let c(w) = 2*w**3 + 40*w**2 + 4*w + 75. Let q be c(-20). Give o(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -8.6. Let g = 0.5 + f. Let l = -1466 - -1467. Are l and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by 37.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 124. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*r**2 + 33 - 33.\nAnswer: -35*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - 123579 - 172414 = -17*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 192\/28)\/(12\/42). Solve -g*m = -21*m - h - 10, 0 = -5*m + 5*h + 30 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*n = -20, -2*o - o - 4*n + 37 = 0. Let w be 6*o\/20*2. Let b = 9 - w. Solve 5*m + 21 = d, b = -4*d + 2*m - 4*m - 26 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1812 * -7.\nAnswer: 12684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 8 + 2*n - 27 + 16 - 2*n.\nAnswer: -n - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1343 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 1, 10, 25, 46?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 12*o + 17. Let r be k(-13). Suppose r*x + 0*x - 212 = 0. Calculate the remainder when x is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9630689 hours in minutes?\nAnswer: 57.784134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8599652197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaaqqqqaw. Give prob of sequence wqa.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -466 + 1532. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*i + 3 = 0, -3*p - 3 = -44*i + 47*i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f + 40. Let r(d) = d**3 - 22*d**2 + 50*d - 15. Is r(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, y: 2, n: 13}. Give prob of picking 1 y and 3 n.\nAnswer: 572\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 4*o - 160 - 1\/2*o**2. Let x(m) be the first derivative of -m**2\/2 + 7*m - 1. Give -7*g(f) + 4*x(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 715 = u, -5 = 4*u + 15. Suppose 6*o - 2*o = -j. Let t = -42 - o. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11641 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 163 + 42\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69.3 + -13.3. Let c = 55.99999973 - i. What is c rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6394 and 165623782?\nAnswer: 6394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5190 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*-2*(-1 + -6*(sqrt(1539) + -2) + 2 + -2).\nAnswer: -432*sqrt(19) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*z + 1)*(-2*z - 2*z + 3*z)*(-222 + 90 + 44).\nAnswer: -176*z**2 + 88*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12402 divided by -4134\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -266 + 272. Let n be ((-15)\/3)\/((-2)\/30). Let j(k) = 76*k + 2 - 1 - n*k. Calculate j(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -11) + (-21 + 15 - (4 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67997 is divided by 195.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**3 + r**2 - 4*r. Let z(k) = 13*k - 6*k + k**2 - 6*k. Let o(f) = -l(f) - 4*z(f). Find b such that o(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106935 is divided by 7031?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j**2 - 2 + j**3 - 3*j**2 + 2*j + 0*j**3. Is 5 a factor of v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2123 + 155544?\nAnswer: 202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 12*u + 9. Let t = -52 + 61. Let g(p) = 2*p + 6 - 7 - 3*p. Give t*g(d) + m(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*z + 22*z + 0*z + 13*z + 11*z.\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 20*o - 25. Determine h(-17).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**3 + 5*j**2 - 3*j. Let t be m(1). Let u be (-2)\/(-60)*t*55\/(-22). Let 1\/6*k + 1\/6*k**2 - u*k**3 - 1\/6 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2 = -p - 0, -2*p = -6. Let y be (2 + -2)*(2 + g). Suppose h + 11 = -15*u + 14*u, 4*u = -8. Put y, h, -4 in decreasing order.\nAnswer: y, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 38, -3, 731?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6897 and 35739.\nAnswer: 393129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 15*m + 21. Let b be n(16). Solve d + b = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:54 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18740536?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -12*z. Let v = -68 + 70. Suppose -3*l - 2*y = -3*y - 18, -12 = -v*l - 4*y. Let u(h) = h. Give l*u(m) + k(m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 0*t**2 + 4*t - t**2 + 4*t + 8 - t. Let j be x(7). Let q = -26\/3 + j. Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -18*o**3 + 8*o**2 - 5*o - 1. Let z(y) = 28*y**3 - 12*y**2 + 8*y. What is 8*f(s) + 5*z(s)?\nAnswer: -4*s**3 + 4*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.13 + 0.03. Let v = i - -1.6. Round v to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -17\/4*b**5 + 2*b + 133\/12*b**4 + 0*b**2 - 18 + 0*b**3. What is the third derivative of n(r) wrt r?\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen quarters of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-13510)\/168*(-15)\/(-200)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -887 = -9*p - 23. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 749 and 5522573.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5836.9639 - -0.0361. Is 1 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yacay. What is prob of sequence ya?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*r = -66, r - 4 = -r. Find the second derivative of z - p*z**2 - z**5 + 14*z**2 + 3*z wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49249 and 680.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(-5)*(-4 + (1 - -1)). Suppose b = 3*h - 1. Suppose h*m + 4*p = m, 0 = m - 4*p + 12. Let u(w) = w**3 + 6*w**2 + 5*w - 2. Determine u(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5627238112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 a, and 1 b when three letters picked without replacement from {b: 1, p: 2, a: 11}?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 65. Suppose -3*g + 93 = 2*h, 3*h - g = o*h - 99. Suppose -m - 2*l = 7 - h, -2*m + 3*l + 116 = 0. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -6, 84237, -0.3, -4, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 439431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 7:30 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 4*s - 5. Let p be u(-5). Suppose -20 - 111 = -l - 3*k, 5*l - k - 575 = p. Round l to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 5*d - 89. Let l be g(8). Let u be 9\/l + (-12)\/(-5). Factor 192\/5 + 1029\/5*b**u + 1008\/5*b + 1764\/5*b**2.\nAnswer: 3*(7*b + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 238*j**3 + 54 - 237*j**3 + 4*j**2 - 3*j**2 + 4*j**2 + 10*j + 0*j**2. Let z be s(-5). Solve -12*m = -z*m - 24 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 4*v**2 - 2*v**2)*(2*v - v + 2*v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 207 - 473 = 0. Let t = -15474 - -15490. Calculate the highest common divisor of t and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177.11 - 178. Let k = v - 0.11. What is the smallest value in 2, k, -0.18?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/(-4) + (-30)\/6. Which is the third biggest value? (a) h (b) 25 (c) -0.4 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 552 and 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -7\/15*d**6 + 0*d**2 + 0*d**3 + 0 - 1\/2*d**5 + 11*d + 1\/3*d**4. Determine b so that s(b) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -2, -2\/9, 0, 0.33?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 641, 604, 573, 554, 553, 576?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/6 + 317501*t**4\/6 - 634999*t**3\/6 + 105833*t**2\/2 = 0. What is t?\nAnswer: 0, 1, 317499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9985 = 4*f - 5*h, -5*f = 2*h - 12587 + 81. Calculate the lowest common multiple of f and 3000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**7\/105 + 179*h**6\/120 + 31*h**4\/24 + h**3\/6 - 96*h**2. Find the second derivative of f(k) wrt k.\nAnswer: -24*k**2 + 1074*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, x: 3, n: 1, p: 1, y: 4}. What is prob of picking 1 n and 2 x?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-3792 + 3797 - (-1 - (-3 + 5) - -14))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 320 - 21?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2263281575?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.12 + -14.02. Which is the closest to f? (a) 1\/3 (b) 0.09 (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114355 + 24?\nAnswer: -114331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**4 - 68610*s**3 - 68655*s**2 + 548860*s + 823380 = 0. Calculate s.\nAnswer: -2, 3, 13723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3754295 is divided by 11307.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3, -1\/2, -3564?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) - (-8)\/(-12). Let s be (10\/(-6) - j)*-42. Let f(i) = -3 + 2 - s*i + 2 + 26*i. Determine f(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-14 - 7 + 88)*(-5 - 1 + 2) + (2 + 4 - 4)*(-3 - 1 + 2) - 1 + 0 - 1)*(-4*q - 5*q + 2*q) to j + a*q and give a.\nAnswer: 1918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*x**3 - 686\/5 - 42\/5*x**2 + 294\/5*x.\nAnswer: 2*(x - 7)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7442, 7440, 7430, 7412, 7386?\n\"Answer: -4*k**2 + 10*k + 7436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72*(-27)\/6075)\/(16\/(-20))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2 + 13252*u - 8749510 = 0.\nAnswer: -7231, 605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yttytt. Give prob of sequence yt.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -3.51059, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 788 - 442. Let g = -5884\/17 + w. Which is the second smallest value? (a) 1\/3 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29 + 29 + 7*j**4 + (6 + 5*j**2 - 6)*(-126*j**2 + 80*j**2 + 107*j**2) - j**4 + j**2 - j**2.\nAnswer: 311*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -79*p. Let a(d) = -28*d + 205. Let z(x) = -351*x + 2583. Let s(v) = -63*a(v) + 5*z(v). Calculate s(u(t)).\nAnswer: -711*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -93. Suppose 5*p = -5*c + 130, -c - 3*c + m = -4*p. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x. Let t(r) = -1. Let o(z) = -z - 8. Let h(c) = -o(c) + 3*t(c). Let d be h(-3). Let q(i) = -2*i**d + 33*i - 33*i - i**2. What is q(s(f))?\nAnswer: -75*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-9))\/((-2)\/(-12)). Let u be ((-1 - -8) + -1)\/1. What is the derivative of -d**2 - d**2 + 6 + u*d**2 - o wrt d?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -18. Suppose -62 = -n*d + 48. Let i = d + -4. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/301, 14, 2\/7 in descending order.\nAnswer: 14, 2\/7, -2\/301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36273 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -23. Let n(c) = -3*c**2 + 8*c + v - 2*c + 10*c**2. Is n(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48971740461*n + 2*n**3 - 48971740461*n + 3*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*j. Suppose j = -3*v - 6374 + 18275. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5745*u**4 + 23*u**2 - u + 1 - 18*u**2 + 40*u**2 - 5739*u**4 - 2*u**3 to the form p*u**3 + y*u**4 + l*u + o*u**2 + m and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 8:39 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 63. Suppose 2*d - 3*d + m = 0. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 67647 and 14.314953?\nAnswer: 67632.685047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 2*i - 13. Let z be (-310)\/110 - 4\/22. Let w be a(z). Let t(u) = 3*u**2 + 0*u + 0*u - 4*u**w. Let f(r) = 20*r. What is f(t(p))?\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and 135.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 24 = -5*s. Let n be ((-10)\/s)\/((-4)\/(-12)). Which is the closest to 1? (a) -2\/3 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0*q - 3*q + 4*q. Let i(f) = 71*f - 17*f - 25*f - 17*f - 23*f. Determine i(t(k)).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6720 and 24822?\nAnswer: 3971520","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**3 - 4*h**3 - 4*h**3)*(56 + 92 - 190).\nAnswer: 84*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 1, t: 2, q: 2}. What is prob of sequence qd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -4 (c) -5 (d) -25 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 - 2*p**2 - 3*p**2. Suppose 4 = -2*a, 2*l - 8*a + 5*a = 72. Let o(n) = -48*n**2. Give l*i(z) - 2*o(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*1\/((-5)\/(-1))*-1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 378873636 to the power of 1\/2, to the nearest integer?\nAnswer: 19465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1091148, -2182305, -3273470, -4364643, -5455824, -6547013, -7638210?\n\"Answer: -4*j**2 - 1091145*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.189964 - 0.19. What is h rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111100001 + -111101000010?\nAnswer: -1110100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -499059 divided by -5\nAnswer: 499059\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5729571 and -15505454?\nAnswer: 21235025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(19) - sqrt(684)) + -2 + 5.\nAnswer: -5*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39863407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + 6*a. Let s be y(4). Let n = s - -7. Is n bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-18)\/t)**(2\/7)*t**(2\/19)*t*t\/((t*t\/(t**23\/t))\/t) assuming t is positive.\nAnswer: t**(2351\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 2*i**2 - 5*i + 1. Suppose 22713*b = 24236*b - 216266. What is the remainder when b is divided by t(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -689785674.84 + -0.3.\nAnswer: -689785675.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -3, -0.2, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(19) + 0)**2 + 3 + -1 + sqrt(19) + (6*sqrt(209)*1)\/sqrt(11).\nAnswer: 21 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -117*y + 122*y - 5, o + 9 = -4*y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/3)\/(((-10)\/(-40))\/(63\/54)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(136)*-2*-4 + 6*(sqrt(136) - sqrt(136)*1))\/(sqrt(8) + 1*sqrt(392) + sqrt(800)))**2)*5.\nAnswer: 955\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.315 - 0.115. Let a(y) = 3 + 8*y + 0 + 7*y**2 + 6 + y**3. Let o be a(-6). Put 3, n, o in decreasing order.\nAnswer: 3, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*l - 41 + 11, l = -2*x - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(1\/6))*s)\/(s\/s**(2\/11)))\/(s\/(s\/s**(-4))*s\/s**(-2\/5))*s**(-2)\/s**3*(s**(2\/3)*s)**0 assuming s is positive.\nAnswer: s**(-787\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 109*i**2 + 4791*i - 220. Determine v(-44).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.093951 + -0.14062755.\nAnswer: -3.23457855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 7*o + 0*o + (3 + 2 - 1)*(-o + 5*o - 2*o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 473825 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/2)\/3 - (-1275)\/30. Let v = p + -39. Suppose 0 = -5*n - 14 + 79. Solve n = -3*j - v*u, j = 4*j + 3*u + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150638 and 218.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkzmmmmzzzfzmm. Give prob of picking 2 z, 1 f, and 1 m.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -1\/418 (c) -40 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 18. Suppose n + r - 3*r = 8, 0 = n + k*r + 6. Let v be (-10)\/(-24) + 3\/12. What is the closest to -4 in n, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*i*x**3 - i*x**2 + 2*i*x - 9*i + x**3 + 172*x**2 + 172280*x wrt x?\nAnswer: -312*i*x - 2*i + 6*x + 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 390 and 6355050.\nAnswer: 6355050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -87834150278 take away -389?\nAnswer: -87834149889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*-4*sqrt(13))**2.\nAnswer: 64*sqrt(13) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-8\/5)*z**(-5)*z*z*(z**(7\/2))**(1\/20) assuming z is positive.\nAnswer: z**(-177\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -429? (a) -1\/3 (b) 6\/17 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 60*w**2 - 161*w + 570.\nAnswer: -(w - 2)*(w + 5)*(w + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -62 - -652ab?\nAnswer: 65249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**5\/16 - 25*p**4\/12 - 85*p**3\/6 - 40*p**2 + 210*p. Let n(b) = 0. What is b?\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052103081.\nAnswer: 3, 1097, 319691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 405 + -438.2. Let r = q + 0.2. Let i = r + 33.0000062. What is i rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 816\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -617477, -617376, -617085, -616508, -615549, -614112?\n\"Answer: 16*i**3 - i**2 - 8*i - 617484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -268 or -76214?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-17105 + -4)*(-1 - 18\/27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 + 7*h + 7. Let f(l) = l**2 + 2*l + 2. Let a(b) = 7*f(b) - 2*u(b). Let m(k) = -22*k + 10 + 1002*k**2 - 1003*k**2 - 10. Calculate m(a(x)).\nAnswer: -x**4 + 22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 2. Suppose -3*g - 9 = 4*b, -2 = -4*g + 2. What is the least common multiple of 8 and q(b)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -2229.\nAnswer: 11145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-333)\/(-8) - (-4)\/(-32) and 1\/(4\/(-152))*(-2)\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 84 = -c. Suppose -18*x + 15*x - c = 0. Let o = 14 + x. What is the greatest common divisor of o and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13\/2*a**2 - 1\/4*a**3 + 27\/4*a + 0 = 0.\nAnswer: -27, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 4*1\/4. Let f = 54 - 50. Let m(k) = -k**2 - 3*k + 1. Let t(x) = -2*x**2 - 3*x + 2. Calculate f*m(u) + r*t(u).\nAnswer: 2*u**2 - 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**2\/4 + 34039*w\/4 - 561099\/2 = 0.\nAnswer: 33, 34006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13.7, -0.3, -523, 2\/13 in increasing order.\nAnswer: -523, -0.3, 2\/13, 13.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.5274 millimeters in nanometers?\nAnswer: 35527400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154425 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -13\/132309?\nAnswer: -13\/132309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -718 - -774. Let h be (4 - 2)\/(2\/74). Suppose -v + h = t. What is the remainder when 86 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -169276 + 34?\nAnswer: -169242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5003 + -4764. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6649)\/69)\/((-2)\/(-6)). Let v = n + 289. Let g be (-1 + -5 + 6)\/(4 - 3). Are g and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102021320 - -32?\nAnswer: -102021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -452 * -1.\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -216*x + 219*x - 3*s - 1035, -3*x + 5*s + 1039 = 0. Which is greater: x or 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (-174 - -94 - 8).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 16 = -6*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4*z = -26, -4*z = 4*f - 131 + 147 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 420?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 149292 divided by 8294?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2097.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 584 - 163233*l + 294*l**2 - 584 + 163233*l.\nAnswer: 294*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4506 - 4510. Is m bigger than -8\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(104)*2*1)\/(2*sqrt(8)*-1 - sqrt(8)))**2.\nAnswer: 43\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2097 is divided by 197.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 2)*(0 + 1). What is the common denominator of ((-1659)\/2940 - (-16)\/(-56)) + -3 + -1 and m\/16 + 1\/1?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -10, 58, 0.01, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 4*r**7\/7 + 10*r**3\/3 + 2. What is the third derivative of t(x) wrt x?\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 22817 = 5147. What is z rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 16674?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103651923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, d: 7}. Give prob of sequence bdbd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 - -3bd96?\nAnswer: 3bd85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-18) + (-6045)\/(-18). Let y = 2356\/7 - i. What is the third smallest value in -4, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 0 + 0)*(4*y - 1 + 1).\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 14*t - 4. Let o(i) = -i**2 - 9*i - 2. Let q(v) = 3*o(v) - 2*s(v). Factor q(c).\nAnswer: -(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 290 = 2*u - 61, -3*u = 5*s - 407. Let g(m) = m**2 + 11*m + 46. What is the remainder when s is divided by g(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:32 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukukr. What is prob of sequence ru?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 37. Let b(y) = 89*y - 25. Let z be b(w). Suppose z = -0*o + 6*o. Which is bigger: o or -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 3*k = 0. Let n be 2\/6*k\/1. Suppose 3*s - s = 5*t, -3*s + 3*t = n. Solve s*y + 8 = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.5, -0.13, -3.78?\nAnswer: -3.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*b + 14, -z + 5 = b + 2. Suppose -90 = -h - 3*s, z*h + 7*s = 2*s + 388. Let v be (h + 3 + 0)\/1. What is v rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 37*h**2 + 136. What are the prime factors of i(18)?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 + 245 = -219*x + 2261 + 4523 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2787430247 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 6*r**2 + 3*r**2)*(1532*r**2 - 400*r**2 - 4117*r**2).\nAnswer: 5970*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-2 + -1))\/1. Let j be (h - (-6)\/9)*0. Is j <= -2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47369 + 47372.5027. Round g to 1 dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4081*p - 4287*p - 5459*p - 3475*p.\nAnswer: -9140*p","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:41 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9243 is divided by 369.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738 - 624 = 31*u + 43*u - 622 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*p + 217 + 777 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.118669?\nAnswer: -0.0118669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((0 - -1)*-76)\/(-2). Suppose -5*i + v = 13. Find the common denominator of -29\/18 and (-1)\/i*(-1925)\/56.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xexhzebxheeebhxbex. What is prob of picking 1 e and 1 x?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 566 - 566 + m - 12*m**4 + (-2*m**2 - 4 + 4)*(-4*m**2 - m**2 + m**2).\nAnswer: -4*m**4 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + (sqrt(720) - (sqrt(720) + 2)) - (-2 + sqrt(720) + -4 + sqrt(720)) - -6*(2 + (2 + sqrt(720) + sqrt(720) - sqrt(720))))*-2)**2.\nAnswer: 190464*sqrt(5) + 798784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1200 and 48?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5770 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 18*s + 80 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 393 divide 23829948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 678720 by -32.\nAnswer: -21210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*g + 34*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -19, -5, -1344 in decreasing order.\nAnswer: -5, -19, -34, -1344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = c - 10, 2*f - 16 = 6*f - 4*c. Let q(o) = 3*o + 8. Give q(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15574, -4\/9, 1.6, -4 in ascending order.\nAnswer: -15574, -4, -4\/9, 1.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.36515 - -1518.33485. What is b rounded to the nearest ten?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1172679263 - 2455590308671\/2094. Let u be 1\/2*(3129\/3141 - 1). Let m = y - u. Calculate the common denominator of -79\/24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6\/425 + 13642\/2975. Let f(h) be the third derivative of h**5\/60 - h**4\/12 - 5*h**3\/6 + h**2. Calculate the common denominator of d and f(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 14. Let q(m) = m**2 - 7. Determine -2*l(f) + 5*q(f).\nAnswer: f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x + 9*x**2 - x - 15 - 1123*x**3 + 110*x**3 - 8*x**2.\nAnswer: -1013*x**3 + x**2 - 13*x - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2347 divide 34986729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 58 = 347. Calculate the remainder when (-13)\/2*(s + -49) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 - 1721162*d**2 + 2962402072565*d\/2 - 2962395187921.\nAnswer: (d - 1721161)**2*(d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvzzzzvzzzzzzy. What is prob of sequence vy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - g. Let w(p) = -17*p**3 - 4*p**2 + 4*p. What is 4*a(o) + w(o)?\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 129\/4, -0.0297, 0 in ascending order.\nAnswer: -0.0297, 0, 129\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 275*b**8\/56 - b**6\/15 + 115*b**4\/4 + 164*b + 2. Find the third derivative of u(t) wrt t.\nAnswer: 33000*t**3 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - t)*(-1 - 2 + 2)*(-41*t + 23*t - 45*t).\nAnswer: -63*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 199\/(-279) + (-4)\/(-6) + (-922)\/(-8298)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 0*r - 8 = 3*r, 2*r = -2*s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2*(1680\/90)\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*(-2*sqrt(3) + sqrt(3) + sqrt(3)))**2 - sqrt(18)\/(2*sqrt(6))*-6)*5.\nAnswer: -20 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:50 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -4, -47798, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 2, t: 1}. Give prob of sequence tz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, c: 1, k: 2, h: 4}. What is prob of picking 1 c and 1 k?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -29, -38, -49?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002319866648 rounded to seven decimal places?\nAnswer: -0.000232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let v(b) = 49*b**2. Give w(v(d)).\nAnswer: -49*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 344442 - 104?\nAnswer: 344333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b6 (base 13) in base 8?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 328861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.81 - 0.51. Let g = 17.6 + -17. Let m = y - g. What is m rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/140*17 + -2 + (-247)\/(-133). What is the closest to -570 in h, -0.4, -0.1, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**4 - g + 1. Let j(q) = -16*q**4 - 49*q + 3. Let l(d) = -j(d) + 3*o(d). Find the second derivative of l(w) wrt w.\nAnswer: 156*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, o: 10}. Give prob of sequence booo.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/16 and ((15\/2118)\/1)\/((-706)\/5295).\nAnswer: 5648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 6. Let t be ((-1)\/n - 0)*9. What is the third derivative of t*y**2 + 0*y**2 + 0*y**2 + y**6 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 31. Let a(w) = -w + 11. Let p(h) = -h**2 + 6*h + 5. Let j be p(6). Let c be a(j). Which is smaller: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18398*x**2 - 18402*x**2 - 2*x + 33*x.\nAnswer: -4*x**2 + 31*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 496*y - 1386. Give k(3).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1085)\/(-15) + 2\/3. Let m = 80 - 128. Let s = m + v. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*v - 231*v - 7770 = 265*v for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2483*s = -1895*s - 22932 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13578)\/(-2774) - (2\/(-19))\/1. Solve t*b = r + 25, -9*b + 5*r = -8*b - 29 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 20 - 2 - 14.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/4015 and -39\/30514?\nAnswer: 152570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (55 - 55 - 29*c)*(-3*c + 4*c - 3*c) as a + d*c**2 + t*c and give d.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**2\/4 + 63*m\/2 - 60 = 0.\nAnswer: 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 12*d - 1)*(-360*d**3 + 58*d**3 - 909*d**3) - 3*d**4 + 2 + 3*d**4 + 2*d**4 in the form a*d**3 + q*d + g + z*d**2 + x*d**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-3)\/5 - 43\/(-105))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1189447717 to the nearest integer?\nAnswer: 34488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2 - 29*y - 8. Calculate c(-10).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p**2 - 3 + 1980*p - 1980*p. Let j(v) = 10*v**2. Determine x(j(w)).\nAnswer: -900*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000210294132 to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/5 - (-20)\/(-10). Let a = 28\/9 + -169\/63. Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229745 is divided by 3844.\nAnswer: 2949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = -58*o + 20*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**5\/20 - 5*x**4\/6 + 35*x**3\/6 - 4*x**2 - 3*x + 4. Let u be y(-13). Calculate the highest common factor of 242 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 71339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6418*q**2. Let v(n) = -120*n**2. Calculate g(v(b)).\nAnswer: -92419200*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c, -5*c + 16200 = -2*q - 2*q. What is q rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1305, -19, 3, -31 in descending order.\nAnswer: 3, -19, -31, -1305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154564 = -5*z - 154789 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 8*m**2 + 14*m - 9. Let r be v(6). Let c be ((-28)\/(-10))\/(2\/20). Suppose -r*u + 11 = -c. Calculate the remainder when u is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6517077 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -20. Let q = 16 + -8. Let u be -4 + q - (-1 - -3). Solve -u*v = x*n + 2, -14 = -n - n + 4*v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -81*s + 62 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 687 a factor of 12530880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2979795 + -6.165\nAnswer: -2979801.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5670 and 1921528?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7 - 95 + 1932*h + 2130*h + 102. Let r(m) = -2*m. Determine f(r(g)).\nAnswer: -8124*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 4*m + 7. Let o be 3*(-15)\/(-18)*2. Suppose o*p + 20 = -0*c - c, 2*p = c - 1. Let b be h(c). Solve -b*u = 4*q - 2*q, 2 = q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 990, 1978, 2962, 3942, 4918, 5890?\n\"Answer: -2*s**2 + 994*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 5*v**2 + 8*v + 11. Calculate z(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50251, -100180, -150123, -200086, -250075, -300096, -350155, -400258?\nAnswer: -450411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 3:30 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2220\/(-5328))\/(0 - 5\/14)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 544 = 16*v. Sort 0, -3, v in ascending order.\nAnswer: -3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 3778?\nAnswer: 377.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3*y**4 + 4*y + 3 - 2653506*y**3 + 2653507*y**3 - 29*y**4 - y**2 in the form i + u*y**4 + m*y + q*y**2 + g*y**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -95.41368 and 0.4.\nAnswer: -95.01368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -818, -1575, -2332, -3089, -3846, -4603?\nAnswer: -5360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -2. Suppose a - 2*s + u = -3*a, a + s - 5 = 0. Suppose -5*y + 13 + 7 = 0. Solve p = h + y, 5*h + p = 3*h + a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4 - 104*x**3 - 2681*x**2 - 4654*x + 7440 = 0. What is x?\nAnswer: -62, -40, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*o + 35, 2*x = -3*o - 2*o + 31. Suppose -o*c = -380 + 120. What is the remainder when 16 is divided by 0 + c\/5 - (-2)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 13*p - 27. Let j be w(7). Let t = 14 - 14. Suppose t = 3*h - 0*h - j. Calculate the highest common factor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-1)\/(3\/9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 8 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277689069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -25 - 20. Calculate the remainder when 28 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o, 0 = -0*a - 5*a - 2*o - 5. Let m(n) = -4*n**2 + 4*n - 6. Let k(g) = -4*g - 2*g + 5*g + 87 - 86 + g**2. Let w(r) = a*m(r) - 5*k(r). Give w(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and 1480481.\nAnswer: -888288.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 130*l - 79. Let n be a(-12). Solve 4*k - 94*s - 10 = -n*s, -2*k + 4*s = -14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 18*t - 112 = 0. Calculate the smallest common multiple of 88 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*l**3 + 44*l**2 + 80892*l wrt l.\nAnswer: 108*l + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 39216, -415 in decreasing order.\nAnswer: 39216, 0.5, -415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 348a37 (base 13) in base 11?\nAnswer: 782242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/850 and (-3)\/24 - 1820\/(-12000)?\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103567259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5\/3)*l**7*l)**(-25\/4) assuming l is positive.\nAnswer: l**(-475\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131.28 + -131.38. Which is the closest to 0.3? (a) -2\/11 (b) -1.8 (c) o (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**2 - 102*v + 1. Let z(l) = -5*l**2 + 101*l - 1. Calculate 4*f(y) + 3*z(y).\nAnswer: y**2 - 105*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, o: 4}. What is prob of sequence oobb?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjmmajmammz. What is prob of sequence zzm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -48*3*(-1 + 2). Let g = r + 58. Is g\/(-4) + 1\/(-2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from wwwbgwwbawqawi.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -477 - -473. Let d = 0.2 - 1.2. Let h = q - d. Which is the second smallest value? (a) 0.5 (b) -3\/11 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*m + 360, -4*m - 18 + 6 = 0. What are the prime factors of 28\/182 - y\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011101832 a multiple of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50430.946874 + -50431. What is z rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.406028 plus -0.1?\nAnswer: 1.306028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 14. Suppose -m + s*m = 15. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from wjjwwjjwwwjjjjwjjwwj.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/3)\/(4\/30). Suppose 20 = 4*u + u. Suppose 0 = 3*q - 2 - u. Which is smaller: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - b + 10 = -3*b, 2*b - 2 = -2*c. Let l(f) = -6*f**2 - 3*f - 3. Let y(g) = -17*g**2 - 8*g - 9. What is c*y(r) + 11*l(r)?\nAnswer: 2*r**2 - r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*x + 86*x = 37*x - 2310 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.232 and -5?\nAnswer: 36.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/30*(-18)\/12. Let y = -83 + 87. Sort a, -1\/8, y in increasing order.\nAnswer: -1\/8, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(80) + 0 + sqrt(80))*3 - ((sqrt(80)\/sqrt(2))\/sqrt(2))\/(sqrt(40)\/sqrt(90)).\nAnswer: 93*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 6 + 19. Let d be (-2)\/6*(-162)\/4. Let z = b - d. What is the smallest value in 3, z, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.868708027 - 51?\nAnswer: -38.131291973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 11:24 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrfrffrrrrrrrfrfrrr. What is prob of sequence frr?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 8:30 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15876166.\nAnswer: 2, 29, 273727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5661 = 178216*q - 178105*q for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -53106, -53097, -53096, -53103, -53118, -53141?\n\"Answer: -4*d**2 + 21*d - 53123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**4 - r**3 + r**2 - r - 2. Let m(w) = -3*w**4 + 2*w**3 + 3*w**2 - 38*w - 4. Let b(p) = -2*j(p) + m(p). What is the third derivative of b(q) wrt q?\nAnswer: -24*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(-4*j**2 + 5*j**2 - 3*j**2)*(3 - 2 + 0)*(2 - 8 + 1)*(-3*j + 0*j + 4*j).\nAnswer: 30*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/12 + 2 + -3. Let w = -0.3 + -0.7. Which is the nearest to w? (a) v (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-30)*5)\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4946964, 4946958, 4946950, 4946940, 4946928?\n\"Answer: -c**2 - 3*c + 4946968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*44*(-42)\/(-51744))\/(11\/(-72)).\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, j: 3, k: 5}. Give prob of sequence kk.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 18\/5 (c) -1\/5 (d) 1\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/47))\/((((q**(-24)\/q)\/q)\/q)\/q)*(q*q**(-2\/11))\/(((q\/q**(3\/13))\/q*q)\/q))**(1\/20) assuming q is positive.\nAnswer: q**(40449\/26884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:15 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -18 + 2. Let a(j) = -j**2 - j + 2. Let v be a(-2). Suppose -u*h = -12 - v. Solve 0 = -h*s + 2 + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpvveeeveepvpvpee. Give prob of sequence vvpv.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -9*h**3 - h**2 + 22*h - 8. Let z(t) = 8*t**3 - 21*t + 7. Calculate -5*x(c) - 6*z(c).\nAnswer: -3*c**3 + 5*c**2 + 16*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -191215 or -191183?\nAnswer: -191183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.5 - 16.5. What is the nearest to 2 in -3, h, 552?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 - 12197*u**2 - 595116021*u\/4 - 595018449\/2.\nAnswer: -(u + 2)*(u + 24393)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 266592.9 grams in micrograms?\nAnswer: 266592900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*f + 3*l - 128, 5*f = -2*l + 216. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c + 5. What are the prime factors of k(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13 and 26977\/2204 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/2*(-1296)\/18954.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571059.\nAnswer: 3, 107, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 - l**2 + 7*l + 100. Let r be s(0). Calculate the greatest common divisor of r and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.065 + 28.935. Let q = r - -34. Let s = -68 + q. Which is the third smallest value? (a) 0.1 (b) s (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 1.2. Let v = o + 1.0999. Round v to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*v**3 + 3*v**3 + 10*v - 17*v wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6126494 - -6126463.00001. Let p = 31.682 + -0.682. Let f = y + p. Round f to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15125029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 689976 divided by 259?\nAnswer: 2664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -5 (c) -1\/2 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1016 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 3. Let z be c(0). Suppose -9 = -d + z. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/209173 or -1?\nAnswer: 5\/209173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**2 - 52*r - 7. Let o(i) = 3*i**2 - 27*i - 3. Determine 3*m(f) - 7*o(f).\nAnswer: -3*f**2 + 33*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11840311, -23680625, -35520939, -47361253, -59201567, -71041881?\nAnswer: -82882195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + sqrt(1377)*1 + -4 + -3*-1*sqrt(1377))**2*5.\nAnswer: -1800*sqrt(17) + 172205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -122 - -3?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**3 + 8*a**2 + 181*a - 1630. What is the thousands digit of d(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-1 - (2 + -3 - (-1 - -2))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-3))\/((-50)\/6 - -13).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 + 3)\/(-6))\/(7\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/159030 and 139\/29754?\nAnswer: 4611870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 4248.45?\nAnswer: 4248.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.68015 rounded to 2 dps?\nAnswer: -8.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -331670916 and -0.202?\nAnswer: 331670915.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -162*j**2 - 9*j + 8. What is s(1)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r + 5*r + 2*r + (-1 + 5 - 1)*(2*r - 2 + 2) + 3*r - r - r + 0*r + 3*r - 4*r)*(-20*r + 4*r + 5*r) as x*r + b*r**2 + o and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 231 - 929\/4. Let r = 15429 - 15429.4. What is the nearest to -1 in a, 0.2, -1\/5, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -2.2302?\nAnswer: 2.2302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 5*u**2 + u. Suppose -14*m + 28 = -28. What is h(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 8:33 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*t - 41. Let w be (-1 - (-453)\/t)*4. Let f = 350 - w. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r + 22*r - 992 - 1932 = 0 for r.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19074 and 1297032?\nAnswer: 1297032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36094699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2*b - 14 = 0, 4*b - 12 = 2*g - g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 4*l**2 - l + 1. Let f be o(4). Let b be 0\/f - (-1 - 11). Calculate the remainder when 2 is divided by 4\/6 + 16\/b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y = 60. Suppose r + 1 = -3*c, -16 + 0 = 3*r - 4*c. Let o = y - r. Is 22 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = -24. Let y = 13 + -8. What is the remainder when d is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -120911\/326 or -372?\nAnswer: -120911\/326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11946956, -11946958, -11946960, -11946962, -11946964?\nAnswer: -11946966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4 = 2*l, 2*l - 10 = 7*l. Suppose -3*i = -a*i - 1. Is (i - 60\/9)*-6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256 + -0.0266.\nAnswer: -256.0266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*o - 173*o = -71*o - 58*o - 195 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 273363, 273373, 273409, 273483, 273607, 273793?\n\"Answer: 2*j**3 + j**2 - 7*j + 273367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c + 2*c + (c - 2*c - c)*(-3 - 1 + 5))*(-7*c + 4*c - 2*c**4 - c).\nAnswer: -2*c**5 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 170*r**4 + 176*r**4 - 358*r**4 + (5*r**2 - 5*r**2 + 3*r**4)*(3 - 3 - 5) as b*r + j + f*r**4 + m*r**2 + q*r**3 and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o*o**(-1)*o*o)\/o)\/o)\/o)**(-22\/9)*o\/(o*o\/(o\/((o\/((o\/o**(4\/15))\/o))\/o)*o*o*o))*o**(-3\/5)*o*o assuming o is positive.\nAnswer: o**(62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 170, 167?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**3 + 100*r**2 - 11*r - 172. Give k(-25).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1163*w. Let d(f) be the second derivative of -f**3\/6 - 6*f - 60. Give d(y(l)).\nAnswer: 1163*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24656\/87233 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, 48, 203, 504, 999, 1736?\n\"Answer: 8*i**3 + i**2 - 2*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 403351 and 741.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147\/((-7350)\/500))\/(4\/(((-190)\/(-5))\/1))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**3 - 68*i**2 - 2*i - 102. Let b be a(23). Solve 2*y = -2*s - 18, -4*y + 2 = -6*y + b*s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -5) + (4 - -1) + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -317 - -2?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**3 + 6545*m**2 - 1501*m - 220860. Give q(1636).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 57?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14506, 29873, 45276, 60733, 76262, 91881, 107608, 123461?\nAnswer: 139458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + b - 3149 + 3149.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 324736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from fffffflffflfffjlf?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -2)\/((-1)\/(-7)). Let s = k - -12. Let b = -8 + 9. What is the lowest common multiple of b and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 9:44 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 539357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = z - 202, r = -3*r + 2*z + 156. What is the remainder when 139 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43517, -43532, -43547, -43562?\n\"Answer: -15*w - 43502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49824 and 78?\nAnswer: 647712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 45, 138, -6, -2 in descending order.\nAnswer: 138, 45, 4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 8. What is the remainder when 96 is divided by z\/(-2) - (-6 - 55\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2) + (5 - (16 - 6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 961*t**8\/80640 + 31*t**7\/5040 + t**6\/720 - 13*t**5\/20 - 19*t**2. Let m(j) be the third derivative of a(j). Factor m(r).\nAnswer: (31*r + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 10. Let v = 6 + j. Suppose -3*b - 7 = w, -w + b = -2*w - 1. Solve -5*k = -2*k + 2*m - 4, w*k - 1 = -v*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Solve -i - 4*k - 11 - 2 = 0, g*k + 25 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -1 + 2 + (-5 - -5). Let g be 24 + u + 7\/(7\/3). What is the greatest common factor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 30 - 8 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*y + 12. Suppose -4*j + 10 = y*s, -j + 2*s = -0*j. Suppose -3*q = 12, -5*l - j*q + 16 = -q. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1260)*-1*6 + sqrt(1260))\/(sqrt(80) + (sqrt(80) - 2*(sqrt(80) - -1*sqrt(80))))*1*-1.\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3)**35\/(s**0*s*s**(-1)\/s))**(-50) assuming s is positive.\nAnswer: s**(-5300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 14) to base 6\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -305, -308, -313, -320, -329, -340, -353?\n\"Answer: -j**2 - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(5\/2)\/((y*y**(-2\/3))\/(y\/(y\/((y\/(y*y**(2\/7)*y))\/y)))) assuming y is positive.\nAnswer: y**(-215\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3522, 7088, 10648, 14196, 17726, 21232?\nAnswer: 24708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82646 by -1333.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 1\/30*q**4 + q - 1\/50*q**5 + 0 - 1\/5*q**2 + 1\/15*q**3. Factor n(p).\nAnswer: -2*(p - 1)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/900 and -83\/9597600?\nAnswer: 9597600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -18*x**3 + 4*x**2 - 13*x. Let m(k) = 6*k**3 - k**2 + 4*k. Suppose -4*r + 36*r + 224 = 0. Determine r*m(d) - 2*q(d).\nAnswer: -6*d**3 - d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -34 + 36 + (-3 - 0). What is the nearest to 0 in r, 133, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6253 - 154?\nAnswer: 6066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6101 + 6086. What is the fourth biggest value in -0.3, -2, i, -2\/11, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10320480 divided by 360.\nAnswer: -28668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76 or 1\/128465?\nAnswer: 1\/128465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 - (-18 + 79 - 54)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -12. Let z be (4 + a\/2)*1. Suppose 0 = 3*w - 2*c + 23, z = 4*w - 4*c - c + 33. Let b(x) = 5*x + 4. Let r(g) = -6*g - 5. Give w*b(v) - 6*r(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 + 13*j**2 + 13*j**2 - 26*j**2.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1889639537?\nAnswer: 2789, 677533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358777, -358776, -358775, -358774, -358773, -358772?\nAnswer: -358771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 36 = -7*o + 5*o, 3*o = 4*n - 48. What is the least common multiple of n and 5 - (-2)\/4*2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -2, -7, 31, -3, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*t + 57*t = 107*t. Which is the biggest value? (a) 1 (b) -2\/9 (c) t (d) -193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157 - 70. Let o = -87.00037 + b. What is o rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -2\/9, 2\/25, -68?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*n + n = 12, 24 = -3*z + 3*n. Let a = -152 - -611\/4. Put 1\/5, z, a in decreasing order.\nAnswer: a, 1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 6. Let b(l) = -4*l**3 + l**2 + 3*l - 5. Let v(k) = -k**3 - 1. Let j(d) = g*b(d) - 3*v(d). Let w be 5*(1 + (-6)\/10). Give j(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 3*n**4\/4 + 2*n**3\/3 + 3*n**2\/2 + 3*n - 23. Let o(b) = -3*b**3 - 3*b**2 - 4*b - 4. Calculate 4*j(f) + 3*o(f).\nAnswer: 3*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -104*i + 552. Let w be f(5). Solve -31*q - 61 = w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229 + 529 - 256 - (2 - -10).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -3133. Suppose -2*g = 4*z - 2350, -2*g + r = -5*z + 739. What are the prime factors of g?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4673 - -7160. Let h = 17033 - a. What is h rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -51 = -833\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 1 (c) 0.01 (d) 32.34 (e) 17\/44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.5443 to the nearest integer.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - g + 122 = 736, -200 = -j + 5*g. List the prime factors of j.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*u + 18, u + 4*u = -4*p - 42. What is the least common multiple of 14 and 176\/40 - (-4)\/u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(1377)*-2)**2 + -4 + (-3*sqrt(34)*1 - sqrt(34))\/(sqrt(16)\/sqrt(2) + sqrt(2)).\nAnswer: -4*sqrt(17)\/3 + 22028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1654099 by 109.\nAnswer: 1654099\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6818444 or 6818449?\nAnswer: 6818444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2051, 8202, 18459, 32828, 51315, 73926?\nAnswer: 100667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*x + 2*b - 20, 3*x + b = -32. Is 17 a factor of 29*3*(-4)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 476 - 911\/2. Let t be (-8)\/(-30) - 224\/(-1680). Sort l, 3, t in decreasing order.\nAnswer: l, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 946 - 668. Let o be j\/6 - (-14)\/(-42). What is the highest common factor of 46 and o?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/2, -10\/7399, 4, 12\/5, 2\/9, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56.9 - 203.1. Let v = -5269417.9833 + 5269158. Let z = v - c. What is z rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - s**2 + 4*s**2 + 2*s**2 + 24496*s + 21211*s.\nAnswer: 3*s**2 + 45707*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157450000 rounded to the nearest one million?\nAnswer: 1157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/412 and -45\/33284.\nAnswer: 3428252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (39*2\/10)\/((-12)\/(-180)) and 260?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*j - 5*j**2 + 10*j**2 - 3*j**2 as w + g*j**2 + q*j and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*f**2 - 2 - 64*f**2 + 2 - 1515499422*f + 1515499422*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16330 (base 8) to base 4.\nAnswer: -1303120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/12978 and -83\/702.\nAnswer: 506142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1876*y**3 - 8*y**2. Let v be x(8). What is v rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -7*n**2 + 3*n**4 - 4\/3*n**3 - 42 - 6*n + 2*n**5 + 1\/3*n**6. Determine x so that h(x) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4788 - -7988. Suppose -17*o + 25*o - g = 0. What is o rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488 is divided by 371?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.055 + 0.05499812. Round d to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 2113103?\nAnswer: 2113031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 685.\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 664.8126nm?\nAnswer: 0.0000006648126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 5*s + 5, 12*s - 5 = -q + 17*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 128 = -22. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -2866.795323127.\nAnswer: -2867.195323127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166196269*z + 4*z**2 + 166196269*z.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - u**2 - u + 1. Let a(s) = 7*s**2 + 4*s**3 - 3 + 12*s - 2*s**2 - s**3 - 9*s. What is -a(j) - 5*i(j)?\nAnswer: 2*j**3 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -31, -63, -105, -157?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 + 97?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 57*w**2 - 28*w - 51. Calculate z(-28).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6*r = 10, 3*r - 2326 = -5*s. Calculate the highest common factor of 58 and s.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (12 + -3)) + -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Let o(u) = 91*u**2 - 4*u - 6. Let s(m) = m**2 - m - 1. Let p(n) = 2*o(n) - 10*s(n). Let r be p(z). What is r rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + ((sqrt(832) + 2)*4 - (sqrt(832)*-1 + 5) - (sqrt(832)*1 + 0 + 6*(sqrt(832) + 1 + sqrt(832)))))**2.\nAnswer: 768*sqrt(13) + 53284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21100122110002 + 2?\nAnswer: 21100122110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + p - 2. Let z be k(-2). Let f = 5 + z. Let t(i) = -i**2 - 5*i - 3. Let g be t(-5). Is f at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/51 (b) 5 (c) -15 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-4 + 14)) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20400, -40805, -61210?\n\"Answer: -20405*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3015 = 25*o - 20*o. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s. Let c be d(-1). Suppose -29 + 245 = -c*k. List the prime factors of 1*1\/(-2)*k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -440000 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 86245943 to the power of 1\/2, to the nearest integer?\nAnswer: 9287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from vjjwuwauywuw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 1:21 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - v**2 - 98*v - 1 + 96*v. What is r(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*2*(sqrt(99)*-2*6 + -5)*-1 + 1))**2.\nAnswer: 25344*sqrt(11) + 914320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 + -3.06. Let k = -1.3 + 1. Sort 1, k, b in descending order.\nAnswer: 1, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28442041*p**4 + 2*p**2 - 886314712?\nAnswer: -113768164*p**3 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 204*h**5 + 33*h**6 - 5*h**2 - 15*h**2 - 204*h**5 wrt h.\nAnswer: 3960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010111000 + -11101011?\nAnswer: -11110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/39 and 115\/28.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 2*w + 7. Is 11 a factor of a(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + b)*(-328452*b + 21*b**2 - 3*b**3 - 5 - 328459*b + 656904*b) as g*b**2 + n*b + x*b**3 + j + v*b**4 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 51. Solve 3*o + f = -f - 1, 3*o - 2*f + 17 = v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -37. Let k = n - 3.2. Let l = -4.19999975 - k. What is l rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, -0.02, 1\/2, 1\/23.\nAnswer: -0.02, 1\/23, 1\/2, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 0)*(-p - 5*p + 5*p + (4 - 4 - 2*p)*(2 - 3 + 0) - 3*p + 2*p + 2*p) to h*p + o and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -40*j + 81. Let i be w(-29). Suppose -3*q = o - i, q + 3*q - 1654 = -2*o. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 16*l - 426. Calculate n(26).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -11*y**2 - 550*y + 4400. Give s(-57).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a + 90. Let u be m(-28). Let h = u - 109. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338.9796km in centimeters?\nAnswer: 33897960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-728)\/1638)\/(4\/(-594)). Solve 24 = 54*z - j*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066826854.\nAnswer: 2, 533413427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 596 - 596. Solve -w = -z*x - 3*x + 6, x - 2 = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150073035 divided by -8391.\nAnswer: 17885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 8\/11 (b) -34 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68.6 - 69. Let q = -1.1 - -1. Which is the closest to 2\/5? (a) d (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-6)\/15*(-25)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -176 - 356 - 607*m - 132*m wrt m?\nAnswer: -739","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -219 - -330. Let u(n) = -4*n + 3*n + 2 - 17*n. Let i be u(-4). What is the highest common factor of i and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 16 - 11)*(7*l**2 - 12*l**2 - 4*l**2 + (3*l**2 - 2*l**2 - 3*l**2)*(-1 + 1 + 2)) as u*l**2 + o + s*l and give u.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 10*m + 2. Let l be z(-10). Let c(r) = -l + r + 3 - r - 2*r. Let v be c(8). Round v to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -740 (base 8) to base 2.\nAnswer: -111100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 - -112. Let o be 122*(3 - (-1 - -3)). Suppose 0 = t*y - 5*y + o. What is the remainder when y is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnddwnndndndnwwdndwn. Give prob of picking 1 w and 2 n.\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 2*s - 3*s)*(-4 + 6 + 0) + 7*s + s - 4*s + 3*s + 0*s - s in the form p + a*s and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 114820 (base 11) in base 2?\nAnswer: 101100011011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/23))**(-1\/26) assuming k is positive.\nAnswer: k**(-1\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 3, -0.4 in decreasing order.\nAnswer: 19, 3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2598*g - 909349. What is p(350)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 432 in 1, -8, -51, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -59\/15, -3, 3, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.5, 3\/7, 5, 0.4, 3 in decreasing order.\nAnswer: 5, 3, 3\/7, 0.4, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c + 38. Let t be j(8). Let v be 5*t\/(-42)*3\/(-5). Do 27\/11 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -5*y**4\/8 + 7*y**3\/6 - 6*y**2. Let f(g) be the first derivative of -2*g**2 + 2*g + 1. Give -22*f(t) + 6*z(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128 + -218. Let f be (-123)\/(-1554)*r\/(-8). Let d = f - 4\/259. What is the common denominator of -53\/10 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014155437 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 94612133, 94612137, 94612141?\n\"Answer: 4*m + 94612129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4 + 5*i**4 + 6*i**2 - 2*i**4 - 11*i**3 + i**3 + 18*i = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 5037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1961 - -1965. Solve l*m + b + 16 = 27, -5*m = b - 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((40\/(-3))\/5)\/(12\/(-18)). Let c(f) = 37*f + 20. Does 21 divide c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0220134 from -1214.\nAnswer: -1214.0220134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14449 - -14?\nAnswer: -14435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(1\/(-17))*(-12 + -4). Let g = q + 274. Factor -16\/15*v**g + 2\/15*v**5 - 4\/15 - 14\/15*v + 4\/15*v**4 - 4\/15*v**3.\nAnswer: 2*(v - 2)*(v + 1)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.177215\nAnswer: 0.70886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 5) + -5 + -1 + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 6*z - z**3)*(2*z - z + 0*z)*(3 + 2*z - 3).\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -10. Let q(k) be the third derivative of -k**5\/60 + 7*k**3\/6 + k**2. List the prime factors of q(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6 - 7*s**2 - 15 + s**3 - 2*s + 4*s. Let p be d(7). Suppose -p*a = 5*n - 2*a - 535, n + 5*a - 129 = 0. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2 + 2)*(-1 + 3 + 0) - 2 + 2*o + 2 + 2*o - 2*o + o + (24*o + o - o)*(1 - 2 + 0) - 6 + 6 + 4*o.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1376*z = 6752*z - 147751 - 76006 - 361459 for z.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(1\/33))\/h**(-31)*h**23\/h**(-30) assuming h is positive.\nAnswer: h**(2837\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(931))**2.\nAnswer: 42*sqrt(19) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71914254*d**5 + 31*d**2 - 82478*d + 2 wrt d.\nAnswer: -4314855240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-2825\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.8 + 22.1. Suppose 5*j + 22 = 3*l, 3*l = -2*l - j - 10. Let u be 1 + l\/6 + -1. Which is the smallest value? (a) 2\/11 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 27*z**2 + 82*z**2 + 3*z + 67*z**2 + 0 as q*z + p + c*z**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 u, and 1 j when three letters picked without replacement from {q: 2, u: 11, j: 2, d: 5}?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = -2*v + 5*s - 85, 9 = -3*s. Let h = 880 - v. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**5 - 1592700*o**4 - 126839442480*o**3 - 760984096630*o**2 - 380473732635*o + 1268298864450 = 0. Calculate o.\nAnswer: -159267, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 7) to base 5.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 998855561 to the power of 1\/3, to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 1. Let k(z) be the third derivative of -z**6\/15 + 3*z**3\/2 - 9*z**2. Let y be 13\/4 - (-2)\/(-8). Let o = y - 5. Give o*k(q) - 18*x(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(6\/(-10))*-3. Let i(l) = -l**2 + 1. Let w(j) = 5 - 3*j**2 + j**2 + j - 8 + 5*j**2 - 3. Give t*i(r) + w(r).\nAnswer: -2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 598317 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90.392 + 90. Let p = 19.508 - f. Round p to 0 dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -235 - -283. Suppose -m + 57 = c. What is the remainder when 169 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 710 + -405. Suppose o = 14*s - 1193. List the prime factors of s.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -43*r - 6. Let b be q(1). Let m = 54 + b. Suppose -a = m + 2. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 12 = 0, -5*l + 2*l - 2*c + 10 = 0. Suppose -87*t + 230 = -41*t. Put t, -5, l in descending order.\nAnswer: l, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 146881445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 7*m + 1. Let c = 518 - 514. Suppose 2*n + 45*z = 40*z + 23, 4*n = -c*z + 40. What is x(n)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnn. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 14*g**2. Let j be x(-14). Suppose -2*k - m = -j*m - 1782, -20 = -5*m. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -240.38 - 12.\nAnswer: -252.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x**(1\/3)*x)))\/x)\/x**(2\/11))**21\/((x**(3\/2)\/(x**(2\/9)*x))\/(x*(x**(-3\/7)*x)\/x*x*(x\/x**(3\/4))\/x*x*x)) assuming x is positive.\nAnswer: x**(15871\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 + 127*n + 66. Let k be m(-63). Let t(h) = 8*h - 1. Let g be t(2). Which is greater: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -12*a - 7 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y - 43. Let u be h(-15). Suppose 0*o + 531 = -3*o. Let x be (o - -2)\/(u\/4). What is x rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*z**3 - 6*z**3 + 11*z**3)*(68 + z - 68) + 2*z**4 + 4*z - 4*z + z**4 - 2*z**4 + 3*z**4 as c*z + d*z**2 + v + s*z**4 + i*z**3 and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -5*l**7\/6 - l**3\/3 - 17*l + 53. Let w(a) be the first derivative of n(a). Find the second derivative of w(i) wrt i.\nAnswer: -700*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - v. Let i be 2\/1 + v*4\/(-24). Solve -1 = h + i*k, 0 = -h - 0*k - k + 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 9. Let i(v) = o*v - 7*v + 2*v. Give i(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 = y, -2*n + 0 + 2 = -2*y. Suppose -3*b + 9 = -5*j - 14, 0 = -b - n*j + 17. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**7\/3780 - l**6\/810 + 4*l**3\/3 - 3. Let b(c) be the third derivative of u(c). Factor b(n).\nAnswer: 2*n**2*(n - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - (-503620)\/17480) + (-16)\/(-76)?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-324)\/(252\/7)*(-4)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a - 4 + 4)*(-5*a**4 + 41*a**4 - 3*a**4) - a**5 + 0*a**5 - a**5.\nAnswer: 229*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/15792 and 7\/120.\nAnswer: 78960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 + 0 = 0. Suppose -2*f + 8 - 4 = 0. Let h(j) = -k + 2*j + 6*j**2 + 0 - 5*j**f. What is h(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194246 to the power of 1\/2, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 39.27075 millilitres?\nAnswer: 0.03927075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -3\/23 (c) 2 (d) 10 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7*m = 2*m - 34, -3*m = 5*f - 30. Let a(r) = r. Let s(q) = -4*q + 14. Let c(d) = -3*a(d) - s(d). What is c(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - m + 20 = 0. Solve 4 = -w - 5*s - m, -5*w = -4*s + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**4 + 1578*f**3 - 685*f + 3 wrt f.\nAnswer: 12*f**2 + 9468*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 713269588?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 25*m - 1 + 15*m.\nAnswer: -12*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 313, 9, 19, -4, -2 in decreasing order.\nAnswer: 313, 19, 9, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24030693029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-17 + 10 - -10) + (-2 - 7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 5*v + 2. Let m be n(-6). Suppose 0 = m*p - 3*p + 5. Put p, 4, -3 in descending order.\nAnswer: 4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*x*z**2 - 2351*g**3*x + 30597218*g**3*z**3 + 2*g**3*z + 2*g**2*x*z**2 + 6*g**2*x - 20*g**2 + 3*g*x*z**3 wrt z.\nAnswer: 183583308*g**3 + 18*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*c - 2*g, 2*c - 3*g + 7 = 3. Suppose -4*h + j + 2847 = 0, j - 696 = -h - c*j. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, -7, 5.\nAnswer: -7, -1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 906 is divided by 191?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 246 - 191. Calculate the lowest common multiple of 65 and b.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12704207 rounded to the nearest one hundred thousand?\nAnswer: -12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 51\/2 of a day?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38140 divided by -9535?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 13 = -17. Let z = -18 - -78. Suppose 5*t - 5*h - 45 = 30, -z = -4*t - 5*h. Calculate the greatest common factor of t and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-513)\/(-6))\/(-3)*(-684)\/(-513). Which is the closest to -2\/3? (a) 1.7 (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.671 - -189.829. Let z = r - 190.49998409. Round z to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 33 = -36 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -624.19 + 629. Let v = 5 - w. Let q = v - 0.26. Is q at least 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 8:21 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from qogggggqoooo?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q**2 - 309*q - 150. Let i be w(-51). Solve -i*n - 14*f = -12*f - 18, -4*f = 2*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3832 and 18.\nAnswer: 34488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -34, -0.2, 0.4, -6.6, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 6) to base 3.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uluuluuuuuuuuuuuuuu. What is prob of picking 4 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5\/5 + 594909*q**4\/5 - 88484236043*q**3\/5 + 1504038078587*q**2\/5 + 3273531244944*q\/5 + 1681008335404\/5 = 0 for q.\nAnswer: -1, 19, 297446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 + 49. Which is the second biggest value? (a) -0.1 (b) -4 (c) 4\/9 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9843*r**5 + 2*r**4 + 2*r - 34704 wrt r.\nAnswer: -196860*r**3 + 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + -77. Let y(i) be the second derivative of 0 + 1\/4*i**4 + i + p*i**3 - 2*i**2. Find the first derivative of y(k) wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 11*t**2 + 7*t**2 + 1 - t - 19*t**2 + 15*t**2. What is s(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + -33. Let q(u) = u**3 - 22*u**2 + 4*u - 71. Is q(c) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4 + 9*l**3 + l**2 - 9*l = 0.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*b - 30, 0 = 3*l + 7 - 1. Let k(t) = -4*t**2 + 37*t + 33. Give k(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1793*w + 1795*w + 4 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -47 - 3. Calculate the remainder when (8 + -1)\/((-3)\/(-21)) is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*z - 2104 = -27*z + 115*z + 1086 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -380 divided by -5\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 31\/3, 1\/4?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*d + 4*d + 0*d)*(0*d - 4*d + 3*d) - 3 + 3 - 2*d**2 + 0 - 2*d**2 + 0 + (-1 + 1 - d)*(2*d - 4*d + d) as l + w*d**2 + g*d and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-3 - 0) + -3. Let k be (w\/(-9))\/((-10)\/18). Let a be (-6 - -2)*-1*(-2)\/(-20). What is the second biggest value in k, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkg. Give prob of picking 2 k.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 1. Let j be i(-2). Suppose -y = n + y - 12, -y + 5 = 0. Let o(r) = -n*r + 3 - 2 + 5*r. Give o(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**3 - 38*m**2 - 6*m - 6. Let f(v) = v**2 + v + 1. Let p(k) = 6*f(k) + x(k). Find the third derivative of p(b) wrt b.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 8*n + 12. Let s be f(-9). Which is the nearest to -2? (a) 0 (b) -1.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146637?\nAnswer: 3, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -133 - 7cc?\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 45, 56, 53, 30, -19, -100, -219, -382?\n\"Answer: -w**3 - w**2 + 21*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*f - 231*f = -2597*f + 135288 + 20964 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Suppose 2*j - 58 = -w*f - 20, 0 = -f + 3*j + 20. Suppose u - f = -c + 7, 2*u - 30 = c. Solve 0 = 4*h + 4 - u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 10\/(-2))*(2\/6 + -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0591 and 0.\nAnswer: -0.0591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92882501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 212*t**2 + 19*t - 46. Let a be v(4). Suppose 0 = 9*i + 1118 - a. What is the highest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((1*sqrt(98) + 2)*1 - (sqrt(98)*1*-2 + sqrt(98)*-2 + 1)) + 3))**2.\nAnswer: 10080*sqrt(2) + 88776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uog. What is prob of picking 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -32*x - 1351. Calculate c(-35).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -11*n - 437. Calculate the remainder when 202 is divided by t(-49).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371 + 503 + 1447 + 35*i - 4*i**2 + 780.\nAnswer: -4*i**2 + 35*i + 3101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -5036601?\nAnswer: 1\/1678867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from viiddivididivdidivi.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0150169 to four dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1889 by 24.\nAnswer: -1889\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/(3690\/52890)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*s + 4*a, -2*s - 7 = -7*s + a. Let z be -2 - ((12 - s) + -2). What are the prime factors of z\/(-8)*(1 + 7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 12*d**2 + 16*d - 34. Let i be y(11). Solve 0 = 3*q - 2*k - 7, 10*q - k = 5*q + i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 8. Let l(u) = u + 4. Let d be l(v). Suppose -d = w - 8. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-88)\/55*(-10)\/4. Let x be (-1 - a\/(-4)) + 9. Solve 0 = -3*w + w + 4, -3*w = 5*f + x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2349\/11 + -213. Let g = -0.992 + 0.492. Which is the closest to -1\/4? (a) w (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 12:28 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 1628115438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.134 (b) 60 (c) 2\/5 (d) -0.1 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*h**2 + 3*h\/4.\nAnswer: -h*(112*h - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -290*n**2 - 3347*n - 13. Calculate i(-11).\nAnswer: 1714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**4 + 8*f**3 - 8*f + 4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -253 + 6558?\nAnswer: 6305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8209*z - 494 = -8273*z + 658 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 660*a*q**3 + 11*a*q - a - 3*q**4 - q - 121 wrt q?\nAnswer: 3960*a*q - 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 8. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 2*m + 77. Let c(l) = l**3 - 3*l - 3*l**2 - 4 + 0 + 4*l. What is c(m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 41919916 (b) 2\/9 (c) 0.4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -3 + (-31)\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -611 at most -74026\/121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -5, -4, 16, 108 in ascending order.\nAnswer: -5, -4, -2, 3, 16, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -829 - 254*g + 1878*g - 767 + 177*g wrt g?\nAnswer: 1801","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-4))\/(2\/(-7)*(-511)\/(-292)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 31*b**3 - b**2 + b. Let z(o) = -2*o**2 - 3*o - 16. Let j be z(-5). What is the remainder when x(1) is divided by (-3 - j\/9)\/((-3)\/(-18))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-48)*(0\/1 + -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9749 divided by -85966?\nAnswer: 9749\/85966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 367 = 2*h, 4*c = 5*h - 7*h + 296. Let m = -113 - -223. Let j = m - c. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 16 - (-3 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1788?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -5*v - 30, 30*k + 12 = -2*v + 35*k for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 0 + 2 + (-189)\/39. Which is the nearest to -1? (a) u (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306916096.\nAnswer: 2, 17, 109, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2550 - 2547 + 3*g**2 + 11*g - 9*g. Let j(n) = -13*n**2 - 9*n - 13. Give 2*j(z) + 9*o(z).\nAnswer: z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 13)*9\/24*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 4. Let b(l) = l**2 - t*l + 3*l. Let w(u) = 5*u**2 - 20*u - 10. Let n(k) = -2*k - 1. Let c(o) = 10*n(o) - w(o). Determine c(b(y)).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 - 69. Let s(k) = -k**3 - 4*k**2 - 3*k - 6. Determine s(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3451049.\nAnswer: 7, 109, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, 1\/4, 2, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1264 divide 316949264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*j = 50 + 75, 0 = 5*a - 4*j - 134. Let q be (a\/156)\/((-1)\/(-24)). Solve -19 = -q*b + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**4\/12 - v**2. Let w(o) = -o + 6. Let k(u) = -1. Let g(m) = 6*k(m) + w(m). What is g(t(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -29 + 0 + 1 + 0. Let s be ((-4)\/6)\/((-1)\/75). Let d = s + h. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*s + 19*s - 7*s + 328 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/2 - 3*y**4\/2 - 37*y**3\/2 - 33*y**2\/2 + 36*y = 0. Calculate y.\nAnswer: -3, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 130\/6 + 8\/24. Suppose 0 = -5*v + f + 58. Is 11 a factor of 47 + 4\/(v\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 3*y + 8, -3414*y + 3416*y - d + 7 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.02 (b) 4 (c) 2 (d) -1\/25 (e) -16164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)\/a*a)\/(a*a**(-1\/3)))\/(a*a**(-2\/13)*a**(-7)) assuming a is positive.\nAnswer: a**(136\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/6*((-135)\/36)\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 3*c = 2782, -3*c = -3*i - 2085. Let r = i + 1545. Let m = r - 531. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010010000011 - 1101000?\nAnswer: 1000010000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (-33420)\/930 + 15 + (-2856)\/1023\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 50*j**3 - 95*j**2 + 1400*j.\nAnswer: 5*j*(j - 8)*(j - 7)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozxo when four letters picked without replacement from ooyzoooozezoxy.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 659*c = 641*c + 2016. Let f(r) = 29*r + 1 + 0 - 2. Let x be f(1). What is the greatest common divisor of x and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 8*h**2 - 9*h + 13. Give j(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36489 is divided by 7296.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24, -12, 26, 102, 228, 416, 678?\n\"Answer: 2*l**3 + l**2 - 5*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1.87064\nAnswer: 0.374128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.6474271 hours?\nAnswer: 0.1103094625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1313244 - 2?\nAnswer: 1313242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -71673242 plus 3?\nAnswer: -71673239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -5*x - 75, 0 = -16528*u + 16524*u - 3*x - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1704 divided by 1718?\nAnswer: -852\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 35*m**2 - 5*m - 5. Let q(k) = -k - 1. Let z(b) = -g(b) + 5*q(b). Let l(a) be the first derivative of -a**3\/3 - 23. What is z(l(y))?\nAnswer: -35*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 27. Calculate g(17).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 53, 5, 0.211, 2\/3, 99?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -3)\/(6\/(-27)). Suppose -5*o + 0*o - 2*r + 405 = 0, o - 2*r - 81 = 0. What is the greatest common divisor of o and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3 - 530122*g**2 - 3224*g + 25298 wrt g?\nAnswer: 6*g - 1060244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8 = 3*j. Let l = -5 - -9. What is the lowest common multiple of l and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*a + 35*a - 70*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35869.26 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.769 + -0.311. Let i = -83.08 - f. Let m = -3.3 + 0.3. Which is the smallest value? (a) -2\/7 (b) m (c) 0 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510*d + 2*d**2 + 253*d + 249*d + 2*d**2 - d**2.\nAnswer: 3*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 143, 483, 1135, 2201, 3783, 5983, 8903?\n\"Answer: 17*q**3 + 3*q**2 + 2*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d + 93 = 4*j, 95 = 4*j + d. What is the remainder when j is divided by (9\/(-6) - 0)*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-1 - -24)*-1. Let q(d) = -5*d + 13*d + 0 + 6*d + 2. Let o be q(0). Solve -o*l - 1 = -x - 0*l, -5*x + 2*l + z = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25462205 greater than -25462204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w. Suppose -7*c - 18 - 17 = w. Let v(s) be the first derivative of -s**4\/4 - 2*s**3 - 2*s**2 - 2*s + 2. Calculate v(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -4 (b) -744 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**6\/420 - 13*g**5\/105 + 7*g**4\/12 - 8*g**3\/7 + 16*g**2 + g. What is r in b(r) = 0?\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/894 and 79\/18.\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*b + b - 8933 + 98123. Calculate the greatest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*l - 162 + 16*l + 2*l**3 + 185 in the form x*l**3 + v*l**2 + z + i*l and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/7 - -6\/7. Which is the smallest value? (a) 0.4 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -38 (b) 3194 (c) -0.06 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80982 is divided by 5031?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - 102*q**2 + 465*q - 368. Let r(h) = -5*h**3 - 203*h**2 + 931*h - 737. Let d(k) = 7*j(k) - 4*r(k). Factor d(s).\nAnswer: -(s - 93)*(s - 4)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 2*v - v)*(277 + 84 + 44) to q + z*v and give z.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 11*n**2 - n**2 + 53*n - 12*n**2. Let l(a) = 2*a**2. Give l(r(k)).\nAnswer: 8*k**4 - 424*k**3 + 5618*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -863 - -769. What is the closest to 0.2 in 2\/11, -1, a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 68*s - 63*s. Solve -c + 16 = s*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(7\/6)*p\/(p*p*p*p**(-9\/11))*p\/p**(-32)*p*(p*(p\/(p*p**(-12)*p))\/p)\/p*p assuming p is positive.\nAnswer: p**(2969\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7832, 15417, 22992, 30557?\nAnswer: 38112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: -5272 * 16\nAnswer: -84352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*z**3 - 13*z**3 - 40*z**3.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*j - 780 = -34*j + 22*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + o + 40 = 0. Let r(n) be the second derivative of -3*n**2 + 18*n + 1\/12*n**4 - 5\/6*n**3 + 0. Determine r(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 0 + 6. Let g(o) = -3*o**3 - 2*o**2 + 3*o - 3. Calculate the remainder when g(q) is divided by 9 + -2 + -4 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4 - 69330*o**3 + 11304940*o**2 - 22124670*o - 33498945 = 0 for o.\nAnswer: -1, 3, 163, 13701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/5 - (-250728)\/465. Calculate the greatest common factor of 120 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/4? (a) -2 (b) -3\/4 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.152 to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2180241?\nAnswer: 3, 7, 34607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23858 at least as big as 23381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 268 - 240 - (11 + 4 + -2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/59147616 and -45\/285880144?\nAnswer: 1715280864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0408*9.\nAnswer: -0.3672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + t + 0)*(-58*t**4 + 3972 - 3972 - 102*t**4).\nAnswer: -160*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -11 - 5. Let p(l) = 170*l - 3 - l**o - 5 - 182*l. Determine p(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 2:52 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 10 + (-1 - -17).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25348159*f**3*v**2 + 509*f**3 + 6*v**2 - 275451 with respect to v.\nAnswer: -50696318*f**3*v + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 80 + 288. Suppose -6 = w - 4*o - 39, -o = -5*w + l. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o - 106 = 3*b, 4*b + 150 = -o. Let k be b\/(-4) - 3\/6. Let n = k + 29. Find the common denominator of -23\/9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -674922 (base 14) to base 8.\nAnswer: -15304622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + q = 184, 0 = -3*w - 6*q + 4*q + 548. What is the greatest common divisor of w and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q**2 - 4*q - 3. What is the units digit of d(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -517 + 255 + 262 - 42*a + 15*a to the form x*a + d and give x.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/7 + 6414*o**2\/7 + 19235*o\/7 + 12822\/7 = 0.\nAnswer: -6411, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**4 + 213*w**3 - 3693*w**2 + 3483*w = 0.\nAnswer: 0, 1, 27, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**4 - 18*f - 1. Let w(s) = -410*s**4 - 497*s - 1. Let v(o) = 2*w(o) - 2*y(o). What is the second derivative of v(i) wrt i?\nAnswer: -9888*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -94, -187, -368, -667, -1114, -1739, -2572?\nAnswer: -3643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 262 - -160. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*i**2 - 209980*i - 306755 = 0. What is i?\nAnswer: -3229, -19\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180327330.\nAnswer: 2, 3, 5, 17, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -210109994.000131 - -210109824. Let d = h + 170. What is d rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c = 96*c - 44*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbbrbmbbbbsbbbxs. What is prob of sequence rbs?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 - (-3 + 2 + -2 + -20).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*z - 0*z, -4*r = -4*z - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-26))\/(-15*(-22)\/1815*11).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p - 273 = 22*p + 49*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -9 (c) -4 (d) -1 (e) 2\/5 (f) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*l + 400 = 182*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1605*q**2 + 2093*q. Let v(c) = 535*c**2 + 698*c. Let j(a) = 3*r(a) - 8*v(a). Find the second derivative of j(g) wrt g.\nAnswer: 1070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10060.0305059 - 0.08.\nAnswer: 10059.9505059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 2:27 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 at least 865208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-12) - (-34)\/(-24). Let f = -113\/60 - h. Let p be 1 - (-16)\/9 - 3. Which is the biggest value? (a) -3 (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/((-96)\/14))\/(1\/(-244)). Let u = -121 + g. List the prime factors of u.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 1. Let t be f(1). Suppose -2*n + t + 24 = -m, 2*m + 8 = 0. What is the first derivative of -1 - n + 1 - 28*a**3 wrt a?\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - h - 2*h + 6, 5*k + h + 12 = 0. Let z = -6 + 4.1. Let s = z - -2. What is the third smallest value in s, k, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(-15) - 10\/25.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -19*w + 4. Suppose 6*q = w*q + 376. Is q a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*h = -5, 0 = m - 4*h + 10. What is the smallest common multiple of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-15*28\/(-210)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5102*g + 5102*g + g**4 + 3*g**2 + 2*g**3 + 4 - 9*g**3 - 2*g**4 to the form a + d*g**4 + q*g**3 + l*g + y*g**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -32252584 < -32252585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -12*z. Suppose -q - 12 + 18 = 0. Let f(g) = -13*g. Calculate q*y(c) - 5*f(c).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1864.75 times 4\nAnswer: 7459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2 + 43216*h = 0. Calculate h.\nAnswer: -43216, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 212.9 + -213. Let w = 12 - 7. Which is the nearest to d? (a) 4 (b) -1\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/5863 and 7\/1599?\nAnswer: 17589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5850 - 5850.07982. Let j = r - -0.08. Round j to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.107539 millimeters to meters.\nAnswer: 0.003107539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k - 420. Calculate w(43).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/4, 2\/7, -0.3, 9 in descending order.\nAnswer: 9, 2\/7, -1\/4, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 750, -0.3, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.148822 millennia?\nAnswer: 73785.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**6\/2 + 9*i**5\/5 - 3*i**4\/2 - 2*i**3 + 9*i**2\/2 - 3*i - 4. Find s, given that r(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**6\/120 - o**5\/12 + 5*o**4\/8 + 3*o**3 + 136*o**2. What is the hundreds digit of n(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -1)*5 + (-2*sqrt(204))\/sqrt(12) + 1.\nAnswer: -4 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -2, 4\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 19*s**2 - 19*s - 25. What is d(20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + 6 - (4 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202169 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 781 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -111122331 (base 4) to base 15\nAnswer: -1aee6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -9 + -3 + 0 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11658 and 252561.\nAnswer: 33843174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7270320059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17384 + 17397. Solve -21 = x - k for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. What is the least common multiple of (-2)\/a*(-20 + 0) and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27329 or 27330?\nAnswer: 27330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89965, 179891, 269805, 359707, 449597, 539475, 629341?\nAnswer: 719195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*t + z, 14 = -0*t + 2*t - 2*z. Suppose 5*l = -3*g + 14, 2*g + t = 4*g. Let k(d) = -2*d + 8*d**2 + 4*d - 2*d + l. Calculate k(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 41, 48, 59, 74, 93, 116, 143?\n\"Answer: 2*w**2 + w + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-7 + 2) - (11 - (4 - 9))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (7 - 4)) + -2 - -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -467, -678, -873, -1052, -1215, -1362?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 9:30 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, v: 1, j: 2}. What is prob of picking 1 v, 1 n, and 2 j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 503200 = -147*f + 25463055. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -80, -52, -14, 34?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*v, -4*t + 5*v - 2*v = 10. Let h = 53\/20 - 13\/4. Which is the nearest to h? (a) 7 (b) -2 (c) 0.2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from ilcdlllcdldlodh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13644\/(-1044) - -13 - 126\/(-145)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/54 + 41\/27. Let k = 55 + -276\/5. Let w = 0.2 - 2.2. What is the second smallest value in j, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -7.3. Let c(r) = -1887*r - 9430. Let y be c(-5). What is the closest to -1\/7 in 2, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113592980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8123.886um?\nAnswer: 0.008123886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 97 = 322. Suppose -2*l + 16 + 7 = 3*g, k = 5*l + 5*g. Suppose j - 4*d - 296 = -3*j, l*d = -16. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-759)\/759*((-50)\/5)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148207, 296590, 445003, 593446, 741919, 890422?\nAnswer: 1038955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -239, -370, -557, -806?\nAnswer: -1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t - 11 + 5. Is t - ((-2)\/(-2))\/((-7)\/4627) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20468498 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {x: 3, j: 2, f: 3, d: 1, a: 10}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17430220 or -17430222?\nAnswer: -17430222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -62467?\nAnswer: -62464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*h + 3811 = -545 - 1179 for h.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1974 - -1978. Let k(m) be the first derivative of 3\/2*m**2 - 2\/3*m**3 - 2*m - 1\/4*m**4 - y. Determine k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1737448\/(-3)*(-23)\/(-22822). Let a = w - 3\/11411. Let i = a - -592. Find the common denominator of 68\/3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24, 4, -4, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 21 = 5*k + 4, -4*g = -5*k + 38. Let h(n) = 6*n**3 - 2*n**2 - 3*n. Let o(q) = -23*q**3 + 9*q**2 + 13*q. Give k*o(m) + 9*h(m).\nAnswer: 8*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -730950 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 0.01?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -2, 2, -4 in descending order.\nAnswer: 2, -2, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86882 (base 9) to base 4.\nAnswer: 32003300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8521392583 + 9225*x + 8521392583.\nAnswer: 9225*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmn when three letters picked without replacement from {m: 1, r: 1, n: 1, b: 1, a: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*q - l - 6, 0 = -q - 2*l. Let g = 1066 + -1061. Which is the third biggest value? (a) q (b) 2 (c) 0 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/(-50))\/(9\/12). What is the second biggest value in j, 1, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 218*c - 213*c + 5*p - 55, 2*c + 5*p - 52 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11158 - -11123) + -54 + 1.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 4*((sqrt(1008) - (-1 + sqrt(1008)))*1 + -4 + 2*sqrt(1008)))*-4*-2 + 0)**2.\nAnswer: -172032*sqrt(7) + 4141312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2042*u - 39*u**2 - 33*u**2 + 2057*u - 52*u**2 - 13*u**2 to the form i*u + p + f*u**2 and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 84 - 534. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1232000 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -40263.7 rounded to the nearest 1000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29\/14924 - 54\/91. What is the common denominator of f and -83\/40?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 1, j: 1, a: 3, e: 4, f: 2}. Give prob of sequence af.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 10 = -w, 3*m - 21*w + 16*w = 19 - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188288117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.30203 and -0.0504?\nAnswer: 0.116022312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lii when three letters picked without replacement from llilllli?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5242665 meters to centimeters.\nAnswer: 52.42665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27938357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6239759 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 11010000111110010100110100111?\nAnswer: -11010000111110010100110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 12942362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11577 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**3 - 18*n**2 + 4*n + 104. What is the remainder when i(-9) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*n**3 - 444 + 444)*(4 - 4 - 2*n) + 5*n**3 - 2*n**3 - 2*n**4 - 2*n**3 + 1.\nAnswer: -58*n**4 + n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(24\/75) - 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 279*j - 111. Let a(h) = -17*h + 7. Let s(i) = 33*a(i) + 2*c(i). Let f(n) = -46*n. Give s(f(d)).\nAnswer: 138*d + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12293 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.5 (b) -28 (c) 2\/3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 10 - 2) + -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6)*(-27)\/180*-15\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (1 + -5 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 25)*(-21)\/6. Let r = 89 + y. Let b(v) = -3 - v + 4*v**2 + 0*v**2 + 2 - 3*v**2. Calculate b(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613*i + 1229*i - 615*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a hour in seconds?\nAnswer: 51600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7978 is divided by 266.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 343 - 341. Let f be 10\/12*(20 - 14). What is the second smallest value in m, -0.1, f, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 22 = -5*f, 2*k = -2*k - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 * -0.34.\nAnswer: -0.0714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90 - -99. Let a(o) = o**3 + 4*o**2 + o. Let m be a(-3). Suppose -5*w + 17 = -l, m*l = 3*l + 3*w + u. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 15\/735494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -34 - 2*g + 34. Suppose -16 = 4*l, -3*q - 3*l + 0*l = -24. Suppose 4*p = 3*c - 22, 4*c + q = -p - 4*p. Give d(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 5*t**2 + 10*t - 6. Let a be s(7). Let o = a + 68. Let m = -13 + o. What is the remainder when 62 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + -1.2. Let k = -0.1 - -0.1. Which is the nearest to -1? (a) x (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) + 87\/(-27). Let l(o) = -5*o**2 + 4*o - 4. Suppose 8*a = 7*a - 4. Let u = a - 0. Let y(p) = 4*p**2 - 3*p + 3. Calculate d*l(r) + u*y(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j + 34 = 17*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v**4 + 10125*v**3 + 138145*v**2 + 374340*v + 153900 = 0 for v.\nAnswer: -10, -3, -1\/2, 1026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1180, 1220, 1282, 1366, 1472?\nAnswer: 1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 29\/5 of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, 18, 88, 228, 462, 814, 1308, 1968?\n\"Answer: 4*o**3 - o**2 - o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -109588\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 8 = -17. Let g = -241 - -239. Put d, g, 16 in ascending order.\nAnswer: d, g, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 64 = -4. What is the remainder when 54 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3637 - -1455. Let y = s + 3075. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**4 - 108*f**3 - 1161*f**2 - 3444*f - 3060 = 0.\nAnswer: -17, -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1495 + 1.8505. Which is the closest to i? (a) -3 (b) 0 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2891 - 9*w**3 - 1453 - 2*w - 1437 + 14*w**2 to the form c*w**3 + g + i*w + j*w**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9318 greater than or equal to 9316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10128 + -68?\nAnswer: 10090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - v - 101. Let t be d(0). Let q = t + 153. What is the remainder when q is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6\/5*(-95)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 + 10*l**2 - 44*l + 9. What is the units digit of v(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62563169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0*b**3 + 23\/12*b**4 + 2\/21*b**7 + 0*b**5 + 0*b**6 + 0 + 2*b**2 + 3*b. Find the second derivative of g(k) wrt k.\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/13)*i**2\/i)\/(((i*i**(3\/8))\/i)\/i*i*i\/i**(-6)) assuming i is positive.\nAnswer: i**(-647\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3841 * 4685\nAnswer: -1799.5085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 140*x**2 - 2*x + 149. Determine f(-140).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8909500 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-3) + -1*12\/(-18). Let l(a) = -6*a**3 + 4*a**2. Let q(o) = -o**2. Determine g*q(b) - l(b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1895492*s**2 - 9477452*s - 40.\nAnswer: 4*(s - 5)*(473873*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3313\/6 - -551. Let b = 7\/2 + -23\/6. Let w = i + b. Is w at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 - 117*m**2 + 101*m - 54. Is 72 a factor of i(39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*s - 1032 = 0, -3*u = -2*u + 2*s - 273. Suppose -5*b + u = -3*h, 27 - 282 = -5*b - 5*h. Does 26 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/3 + 759314*a + 2277939 = 0 for a.\nAnswer: -2277939, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 806983.77 rounded to the nearest one hundred?\nAnswer: 807000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1132\/41318*-1*1\/(-1).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 1, 0.8, 4\/7, 4.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 61000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -16*a**2 - 2*a - 3. What is n(-2)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -4, 1.2, -4\/7, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -9. Suppose q + q - x = 0. Suppose -2*b + 2*o = -30, -q*o - 68 = -3*b - 27. What is the remainder when b is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 13*w + 24. Is y(-14) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/18 - (-1761)\/27. Suppose 2*o - 37 = u. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y - 2*y)*(245*y**2 + 538*y**2 + 158*y**2 + 860*y**2 - 9*y).\nAnswer: -1801*y**3 + 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 3*t**2 + t - 4. Let z be j(3). Let w be -3*1\/(12\/(5 - 1)). Let d be 0 + 3 + w*(8 - 3). Which is bigger: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 10*l**2 + 9*l + 4. Let z be j(9). Let y(q) = 33*q + 13. Let a be y(z). Let g be 4\/(-5)*a\/(-58). Solve -5*x - 3 = -g*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -753 by -20368.\nAnswer: 753\/20368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzwwzwwzwzzzwzzz?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 66*u**3 + 2*u**2 - 2*u + 1. Let z be m(1). Suppose 0 = -65*x + z*x - 10. Let w be 2 + x\/(25\/(-8910)). Round w to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 9:07 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4619117*-5.\nAnswer: -23095585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 475.5157 millimeters?\nAnswer: 0.0004755157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 16. Let f be w(0). Let p = f + 9. Let v = p + 14. Calculate the smallest common multiple of 1 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 6*w = 44 - 1, -18*w + 22*w = -3*o + 14 + 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 270 = 9*y - 42*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 291865 or 291861?\nAnswer: 291865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(-2 + sqrt(208) + sqrt(208) + sqrt(208)*-1 + 0 + -3*3*sqrt(208) + -1))**2.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111 + -1101011101?\nAnswer: -1110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.94. Suppose -405*n + 35 = 3*s - 410*n, -30 = 3*n. Suppose 5*b + w = 5, -4*b - b - 3*w - 5 = 0. What is the nearest to b in s, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0 - 1. Calculate the remainder when h\/2 + 78\/12 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -61, -125, -191, -259, -329, -401, -475?\n\"Answer: -w**2 - 61*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4052*d - 21386 = 35604 + 11894 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4179992 divided by -522499?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 26*p - 3*p**2 - 23*p + 41*p - 16.\nAnswer: -(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2460*z**4 - 6*z**2 - 12*z + 10. Let j(n) = 7379*n**4 + 16*n**2 + 33*n - 30. Let f(c) = -3*j(c) - 8*w(c). Find the second derivative of f(p) wrt p.\nAnswer: -29484*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 6. Suppose -w - 2 = -h. Suppose 5*a + x - 18 = 2*a, -a + 3*x = -w. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53640 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 899750.2 hours?\nAnswer: 53985012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3 - 0. Suppose 7*o = q*o. Let y(f) = -f - 11. Determine y(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*a - 58496 = -2*t + 85*a, -5*t + 3*a = -146212. Round t to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m - 6. Let a be t(4). Let y = 34 + -10. Let k(p) = -y + 24 + p. Let c(d) = d**2 - 5*d - 1. Determine a*k(j) + c(j).\nAnswer: j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 19. Let w(c) = 9*c**2. What is w(n(a))?\nAnswer: 9*a**2 - 342*a + 3249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**5\/10 + 11*u**4\/8 - 19*u**3\/6 + 9*u**2\/4 - 254. Suppose i(x) = 0. Calculate x.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j = 20*j + 64. Suppose -2*y**j - 14\/3*y**3 - 16\/3*y**2 - 2\/3 - 3*y - 1\/3*y**5 = 0. What is y?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/381 - -125\/762. Let l(d) be the first derivative of 1 + 2\/3*d - 1\/18*d**6 + 2\/15*d**5 - y*d**2 + 1\/6*d**4 - 4\/9*d**3. Solve l(s) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 2\/17 (c) -2\/3 (d) 18 (e) 532\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59081521 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4631335 and 2649?\nAnswer: 13894005","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.22, -17.2, -2\/5, -3 in decreasing order.\nAnswer: 2, -0.22, -2\/5, -3, -17.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 340*z - 17. Is i(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8194496905\/207 - -39587021. Let c = 1464\/23 - s. Are -16 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02 and -0.4028?\nAnswer: 0.4228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 - 3*q**3 - q**3 + (-2*q**2 + 2*q - 2*q)*(1 + 2*q - 1) - 5 - 2*q**3 + 5 - q**3 + q**3 - 2*q**3 + q**2 + q**3 - q**2.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*f + 12*f. Let c(v) be the first derivative of 0*v**2 - 2\/3*v**3 + 0*v - f. Let r(h) = 7*h**2. Calculate r(c(q)).\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*x**4 - 28*x**3 - 97*x**2 + 63220?\nAnswer: 24*x**3 - 84*x**2 - 194*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**5 + 8*p**4 - 8*p**2 + 4*p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**4\/5 - 91354*d**3 - 1141958*d**2\/5 + 913554*d\/5 + 137034 = 0. What is d?\nAnswer: -3, -1\/2, 1, 114195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t = -12. Let z(v) = -2*v**2 - 2*v + 1. Let l be z(-2). Sort t, 7, l.\nAnswer: t, l, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2871 = 2*w - 1931, 5*w - 3584 = 3*p. Let i = -2083 - p. What is i rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 510969987 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/14)\/(923\/3976)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1403?\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39.7 - -37. Let t = f + 3. Suppose -r - 3 = 2*r. Which is the closest to 0.1? (a) 4 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*g**2*n**2 - g**2*n + 9*n**3 + 57*n wrt n?\nAnswer: 44*g**2 + 54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 + -1.36. Let m = -3 + 1. Let c = t - m. What is the smallest value in 3, -2\/7, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 445*m**5 + 2*m**4 + 12*m**3 - 1784*m**2. Let r(y) = 3*y**3 + y**2. Let w(k) = 4*r(k) - s(k). Find the third derivative of w(b) wrt b.\nAnswer: -26700*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(2*q - 6*q + 3*q)*((6 + 0 - 5)*(-2 + 0 + 3) - 1 - 3 + 1 - 7 - 3 + 3).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y*y*y**(-5)*y*y))\/y)\/y**1*y*y\/(y*y*y**7*y)*y**(-1) assuming y is positive.\nAnswer: y**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*h**2 - 65*h + 300.\nAnswer: -5*(h + 5)*(5*h - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((l*l\/(l**5*l))\/l))*l\/l**0*l)**29\/(l\/(l**(2\/3)\/l)*l**(-4)*(l*l**(-1\/6)*l*l)\/l*l*l*l**(1\/2)) assuming l is positive.\nAnswer: l**(-266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -1\/22*g**5 + 0*g**2 + 0 - 4\/33*g**4 + 9*g + 4\/33*g**3. Factor v(y).\nAnswer: -2*y*(y + 2)*(5*y - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**5 + 19*f**4 + 165*f**3 + 425*f**2 + 436*f + 156 = 0.\nAnswer: -3, -2, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2990888 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 7*r - 6*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 4*q, 161965*q - 2*g = 161968*q + 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 614980598 to the nearest integer?\nAnswer: 24799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/15 - 3098\/(-6). Suppose 3*k - 6*v = -2*v + u, 0 = -k - v + 165. Let x be k\/(-49) + 6\/14. Which is bigger: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t + 5*b + 32 = -33*t, 3*t = -4*b - 24 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.93731 plus 0.01722?\nAnswer: -45.92009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4113 + 4137. Does -41 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29383345433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5270, 5443, 5634, 5843?\nAnswer: 6070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89601 is divided by 44777?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + 67 + 45 + -145.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 508, 1976, 4406, 7798?\nAnswer: 12152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 195\/40 + (-1)\/(-8). Suppose n + y = -c + 3, -n = -4*c - 18. Solve x - n = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnzzsnsssnsse. What is prob of sequence nsns?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-11\/4))\/i)**5 assuming i is positive.\nAnswer: i**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 225*b**2 + 2*b + 18. Let t(k) = -4950*k**2 - 45*k - 405. Let u(f) = -2*t(f) - 45*z(f). Let q(n) = -5*n**2. Determine q(u(p)).\nAnswer: -253125*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -7*z**2 + 26244 - 648*z + z**2 + 12*z**2 - 2*z**2 = 0.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**5 + 8*z**4 + z**3 - 7*z**2 - 11*z. Let l(t) = t**5 - 4*t**4 - t**3 + 4*t**2 + 6*t. Let p(s) = -6*h(s) - 11*l(s). Let p(u) = 0. Calculate u.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8895078 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/155, 3, 32, 241?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 595632 divided by -74454.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4 - 165 + 161 + 23*k. Let s(t) be the first derivative of t**4\/12 - t**2\/2 - 1. Let i(h) be the second derivative of s(h). Calculate i(c(d)).\nAnswer: 46*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 4*g**4 + g)*((1 - 1 + 3*g)*(-3 + 5 - 3) - 15 + 20 - 7 + 102*g).\nAnswer: 396*g**5 - 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1028 - -8.0328. Let q = f + -11. Let u = -0.07 - q. Sort -0.5, 0.1, u in ascending order.\nAnswer: -0.5, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50769 less than 50770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 469*m*t + 423*t with respect to m.\nAnswer: 469*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-297) + (-65)\/286.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 7. Let b be m(3). Calculate the highest common divisor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*3 - 5*(-30)\/25. Factor -60*v**4 + 28*v**4 - 9*v + 36*v**4 + 12*v**w - 3*v**2 - 3 - v.\nAnswer: (v - 1)*(v + 3)*(2*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 5, -27, 0.172, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2.4. Let p = -10993 - -44579\/4. Let l = p - 151. Which is the second smallest value? (a) 4 (b) l (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - g = -4*d + 98813, 5*d = -g + 164699. Suppose -5*v + d = 3*x, 2*v - 19*x - 13174 = -21*x. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 3\/5 (b) -3 (c) -4 (d) -5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2750, -5500, -8250, -11000?\n\"Answer: -2750*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133\/612 - 5\/153. What is the nearest to 2 in 4, -12, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 2:45 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c*(c*c*c**(-1\/39)\/c)\/c*c))*c*c**(1\/28))**(-1\/7) assuming c is positive.\nAnswer: c**(-4379\/7644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(5445)*1)\/(sqrt(9) + 2*sqrt(900))*6 + -1).\nAnswer: -3 + 66*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3 and -157\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20894 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*c - 11 = c, a - 3*c - 13 = 0. Suppose -a + 16 = -3*z. Let t be z\/22 + (-55434)\/33. Round t to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*5*4*(sqrt(24)\/sqrt(2) + -5) + -4)**2.\nAnswer: -285120*sqrt(3) + 525636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -23*k**5\/20 - 11479*k**2. Let p(f) = f + 5. Let a(m) = -1. Let t(u) = 5*a(u) + p(u). Calculate o(t(x)).\nAnswer: -69*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 >= 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/9)\/(-7))\/(7*5\/(-1890)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 7*o**2 - 9*o - 9. Let q be r(3). Calculate the greatest common factor of q and 654.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afgx when four letters picked without replacement from fgtaaaqqaatqttaagxaq?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 301 = -593. Let o = -52 + w. Let d = 527 + o. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-4))*c\/(c*c**7))\/(c**3*c**(-2\/3)))**(-20\/3) assuming c is positive.\nAnswer: c**(800\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*p**2 - 317*k**3*p*t + 607*k**3 + k**2*p**2*t - 2*k**2*p**2 - 2*k*p**2*t - 896778*t wrt k?\nAnswer: -12*p**2 - 1902*p*t + 3642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 72*l + 635. Give t(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*h + 1, -t + h - 4 - 1 = 0. What is the units digit of (3\/t)\/(2 + (-25)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106001343?\nAnswer: 3, 7, 1682561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + -2 + -1 + 3. Suppose -2*n = -n - 5*u + m, 4 = -n + 4*u. Suppose n = 4*i + 4, i + 456 + 280 = -5*s. What is s rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.573246 millennia?\nAnswer: 457.3246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 9:38 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*g - 1822 = -190*g - 10677 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.105 - 3.105. Which is the closest to 2\/3? (a) 0.4 (b) m (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516238699.\nAnswer: 73, 7071763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000036434 to six decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -27 - 26) + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14 - 36\/(-21). Let q be ((-4)\/6)\/(j\/(-18)). Let z = q - 4. What is the greatest common factor of z and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1873?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119 + -117. Suppose 0 = -k + j - 2*j + 1, -3*k = 4*j - o. Let b be 48\/9*6\/4. Solve -b = -3*p + c + 2, c = k*p - 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:14 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 46. Let l = w + -7. Calculate the remainder when l is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z + 88. Let f be (-2)\/4 + (-4)\/(-8). Let g be y(f). Calculate the greatest common divisor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - (-17 + 26) - 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = -9*m + 22*m. Let p be (-1)\/(-2)*32\/m*-35. What is the highest common factor of p and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 544790 and 10990?\nAnswer: 3813530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1239200984 to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 10:17 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/17, 2\/89, 119, 0.1 in descending order.\nAnswer: 119, 0.1, 2\/89, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93\/1582 - -1432521\/1582. Let i = v + -906. Which is the second smallest value? (a) -5 (b) 2.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 2*z - 10 + 2, -3*h - 3*z = -12. Solve h = 4*t + f, -4*t + 4*f = -f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(4*p - 3*p + p) - 4*p - 5*p + 2*p to the form z*p + s and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1465*w + 112. Let o(g) = -4394*g - 393. Determine 7*i(m) + 2*o(m).\nAnswer: 1467*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(-19)\/(a\/(a*a**13)*a**(-12)) assuming a is positive.\nAnswer: a**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 172589?\nAnswer: -172593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*f + 30*f**3 + 3*f**5 + 28*f + 21*f**4 - 6*f**2 - 15 - 46*f.\nAnswer: 3*(f - 1)*(f + 1)**3*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -5*k - 0*g + 50, -3*k - 5*g - 13 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + -41 + -12 + 92?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:41 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 3*b**2 + 1. Let a(q) = 292*q**3 + 6*q**2 - 2*q + 19. Let r(i) = -a(i) + 2*p(i). What is the second derivative of r(n) wrt n?\nAnswer: -1740*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 706.9812 centuries to millennia.\nAnswer: 70.69812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1208892 and 25836.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149533261*h*i**2 - 241243104*h*i wrt i.\nAnswer: -299066522*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -90 (b) 0 (c) -3 (d) -1\/5 (e) -1 (f) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 5*h + 2. Let d be z(-4). Suppose -2*o = -11*o + 126. Calculate the lowest common multiple of 1 - (2 + 0)\/d and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053)*2 - sqrt(1053)) + sqrt(1053) + 4 + -4 + 3)**2.\nAnswer: 108*sqrt(13) + 4221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + q**2 + 2*q + 3 - 2*q**2. Let i(y) = -y**2 + y + 2. Let u be i(-2). Let z be g(u). What is the highest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 72785*h**3 + 655011*h**2 + 1964979*h + 1964952.\nAnswer: (h + 3)**3*(h + 72776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5757 (base 9) to base 12.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19\/16 - 15\/16. Sort t, -21, 0.4, 3\/8 in decreasing order.\nAnswer: 0.4, 3\/8, t, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 5*u**2. Let n be j(-5). Suppose -2*y - 2 + 12 = n. Factor -5*q**5 + q**y + 3*q**5.\nAnswer: -q**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 + 428*d\/21 + 96\/7.\nAnswer: -2*(d - 72)*(3*d + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1229535 = -582*z + 51*z + 19557531. What are the prime factors of z?\nAnswer: 2, 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 519*a*p**2*w + 175346*a - 26*p**2*w - 11*p*w - 30580*w + 2 with respect to a.\nAnswer: 519*p**2*w + 175346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in -3, -2\/31, -2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**3 - 12*c - 1. Let o(d) = -22*d**3 + 77*d**2 - 24*d - 2. Let t(a) = -2*i(a) + o(a). Let b(w) = 5*w**3 - 26*w**2. Determine 8*b(y) + 3*t(y).\nAnswer: -2*y**3 + 23*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28951 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/15 (b) 1\/2 (c) -3.9 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 14. Is g > 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -18*v**2 - 5*v - 4. Let z be n(-1). List the prime factors of 1 + 98*z\/(-2).\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 7\/12, -3\/2, 0.2, -0.4?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**4\/6 - 3*h - 9. Let z(p) be the first derivative of -p**2\/2 + 6. Give w(z(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -17*b**2. Let f(q) = -272*q**2 + 2. What is f(m(n))?\nAnswer: -78608*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13706\/30 - (-60)\/450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 60210 = -2*i + 60070, 0 = -5*y - 27*i - 328 for y.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9420 - 9402. Suppose -4*s + 564 = 4*z, -5*z + 3*z + 2 = 0. Suppose 0 = 2*f - 0*f - s. What is the remainder when f is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*r = 27, 3*p - 81 = -0*r - r. Let g(w) = w**2 - 26*w - 32. Let b be g(p). Let i(u) = -2*u - 3. Give i(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = i + 4, 3*f = 50425*i - 50430*i - 28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2228\/10 + 1\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5898?\nAnswer: 2, 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c + 13. Let m be a(10). Suppose 4*u - 2*u = -3*o + 51, m = 4*u + 3*o. Let x = 18 + u. What are the prime factors of x?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7537 + -7273. Calculate the remainder when q is divided by 91.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -3, -13, -5 in increasing order.\nAnswer: -13, -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuququqqu. What is prob of sequence qqq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 + 52?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 3, l: 11, g: 5}. Give prob of picking 1 g and 1 u.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 445 - 13 = -4*r. Solve 411 = 74*z + r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*z, -82*z = -3*q - 85*z + 3. Solve -7*s - q*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -430648, -430661, -430674?\n\"Answer: -13*v - 430635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (229 + 230 - 457 - 104*w)*(w**2 - w**2 - 5*w**2).\nAnswer: 520*w**3 - 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 3)*(-9 + 8 - 75 + q) in the form x + v*q and give x.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + ((-108)\/126)\/(9\/483).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.054 + 0.054. Let d = -25 - -23.9. Let j = 2.1 + d. Which is the nearest to 1? (a) n (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140525221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-140 - 13*o**2 + 14*o**2 + 386)*(248*o - 116 + 56 + 60) to the form i + f*o**2 + p*o**3 + x*o and give p.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -46. Let c(v) = v**2 - 6*v - 7. Let d be c(6). Let r(n) = 2*n**2 + 31*n - 6*n + 4 - 21*n. Let s(y) = -6*y**2 - 13*y - 13. What is d*r(q) + w*s(q)?\nAnswer: -2*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28542 and 1278.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**25\/(l**(2\/5))**(12\/5) assuming l is positive.\nAnswer: l**(601\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25331099?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -90298, -179900, -268808, -357022, -444542, -531368, -617500?\n\"Answer: 347*t**2 - 90643*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 364 + -208. What are the prime factors of a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 345.2 - 345.16. Let p(j) = -2*j**2 - j + 1. Let v be p(1). Which is the smallest value? (a) g (b) v (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p*q**3 - 4934386*p*q + 2*p + 5*q**3 + 3*q**2 - 153211 wrt p.\nAnswer: 2*q**3 - 4934386*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 1\/60*j**4 + 0*j**3 + 0*j**2 + 13*j + 0. Factor r(w).\nAnswer: w**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**2*o**2 - 3*j**2 - 4*j*o + 2*j + 7365*o**2 with respect to j.\nAnswer: -6*j*o**2 - 6*j - 4*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 4:05 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5484037\/6 at least as big as -914006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 9*c - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 87 = 85 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 9:22 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r**2 - 11*r + 26 - 5*r + 9*r**2 - 15. Suppose 4*u - 32 = -2*l, 0*u + u = 5*l - 47. Is o(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.37 and 0.4?\nAnswer: -6.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20316498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 0*z - 7 + 4*z**3 - 3*z**3 + 9*z - 6*z**2 - 2*z. Let v be p(5). Solve -2*b + 6*b + 20 = 0, 0 = 5*q - v*b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3032 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 1 = 5*n + d, 1 = 4*n + 5*d. Solve -2*f + 5*q - 18 = 2*q, 0 = -n*f - q - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**4 - 4*t**4 - 4*t**3 + t**4 + (-t + 0*t - 3*t)*(0*t + 0*t - 2*t**3) in the form g*t**3 + o*t**4 + d*t**2 + v + x*t and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/6*(-2)\/1. Let m = 1 + 1. Suppose 3*g + 9 = m*q + 1, -3*q - 26 = 5*g. What is the smallest value in z, g, 5\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214325 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-178)\/356 + (-33)\/57*1\/(-2)\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -231*(-412)\/(-103)*(-1)\/(-14)*-1.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 7, b: 2, s: 1}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0046936498 to 4 dps.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 298*g*h**3 + 6*g*h**2 + 7*g*h - g - 5*h**3 - 14 wrt h?\nAnswer: 1788*g - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 525*i + 16 - 1 - 533*i.\nAnswer: -8*i + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 99824 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28037 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3909869*n**3 + 30643*n + 25?\nAnswer: 23459214*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -30*r - 24 + 35*r**3 + 16 - 16*r**2 - 29*r**3 = 0.\nAnswer: -1, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 6*d = -1480. Suppose 4*i - 185 = -12*s + 7*s, i = -4*s + d. Calculate the remainder when s is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 10*y - 6 + 1 + 7*y.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**6\/120 + f**5\/15 + f**4\/24 + 2*f**3\/3 - 3*f**2. Let m be n(-4). Solve -u - 2*u - 12 = m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3566*x - 3583*x - 2278 = 0. Which is smaller: x or -71?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:50 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2. Let p(l) = -4*l**2 + 22*l - 4. Let v(c) = -p(c) - 6*x(c). Factor v(a).\nAnswer: 2*(a - 2)*(5*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-24)*(-255)\/2805?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(7) - (sqrt(847)*1 - sqrt(847)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -2, -5, 14, 34 in increasing order.\nAnswer: -25, -5, -2, 14, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/5 + 47264*c\/5 + 22948438 = 0. What is c?\nAnswer: -20885, -2747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 962 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -174 - -173.9. Which is the closest to x? (a) -7 (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 3:00 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 308 = -2*j, 5*j + w + 334 = 1081. Suppose 5*f = 6*f - j. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/21 + (-310)\/35 + 399. What is the highest common factor of 255 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -5*r + 74. Let h = r + -49. Suppose -l - 11 = -2*l. What is the highest common factor of h and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**6\/15 + 56*w**5\/25 + 102*w**4\/5 - 572*w**3\/15 - 4477*w**2\/5 + 15972*w\/5 + 5121. Suppose x(p) = 0. Calculate p.\nAnswer: -11, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + b - 1. Let q(t) = 16*t**3 - 16*t + 16. Let a(z) = z**2 - 3*z - 170. Let m be a(-11). Calculate m*n(y) - q(y).\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4533525815 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -400, -414, -428?\n\"Answer: -14*d - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64071\/7016 + -7680\/877. Let 3\/4*p**2 + 9\/8*p**3 + 0 + w*p**4 + 0*p = 0. Calculate p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30796 - 10260 - 10268 + 9*j - 10268.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - 5*u + 3*u + (-2*u + 2*u - 2*u)*(-3 + 3 + 3)*(5 - 44 + 5 - 4 + 0 + 2 + 0 - 2 + 3 - 1 + 1 + 2 + (-1 + 0 + 3)*(-1 - 3 + 3) - 1 - 1 + 0).\nAnswer: 221*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 245 = -30*z. Let h = 248 - z. Let p(f) = -f**2 + 3*f. Let v(d) = -2*d**2 + 2*d. Calculate h*v(k) - 2*p(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 944?\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1d80 (base 15) to base 3\nAnswer: 22210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2. Let n = 14 - 12. Let p(l) = -l + 2. Let w be p(0). Let c(z) = -z**w + 4*z**2 - z**n. What is c(h(v))?\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 + 37*k + 18. What is w(-10)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - j. Let r be t(-1). Let y be (r\/(-5))\/((-2)\/10). What is the units digit of 0 - (-4 + y - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 15*x + 10. What is the tens digit of a(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1075640 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*o - 6*o - 33*o - 8*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 939155 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 199 - 141. Let k = 9 + j. Differentiate -88*u**3 + k*u**3 - 5 - 7 with respect to u.\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -220*y**2 + 663*y**2 - 219*y**2 + 91 + 4*y - 225*y**2 in the form z*y**2 + p + j*y and give p.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(sqrt(70) - sqrt(70)*-2)*6)\/(1*sqrt(110)\/(sqrt(66)\/sqrt(6))).\nAnswer: 3 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6e + 2?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/20 and -43\/5145296.\nAnswer: 25726480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 2\/11, -0.1, 4, -2\/3 in descending order.\nAnswer: 33, 4, 2\/11, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 14. Let z be (-1 + 2)*(-4 + i + -7). What is the third smallest value in 1\/2, 0.3, 4, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1900)*-4)**2 + sqrt(1900) + 4 + (sqrt(1900) + -5*(sqrt(1900) - -1*sqrt(1900)) - (sqrt(1900) - 1*sqrt(1900)*1))**2)*3.\nAnswer: 30*sqrt(19) + 826512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11160158 a multiple of 1469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4199732935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - ((-774)\/(-63))\/((-207)\/(-322)).\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 8:13 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((-1)\/3 - (-38794)\/3774)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 378447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 443373 and 2079.\nAnswer: 43893927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1 + (-3 - 2 + 4)*(-3 - 3 + 7))*(3*w - 5*w + 0*w)*(-16 + 1 + 2).\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 24581574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 7 + 0*v**2 + 0*v - 1\/3*v**3. Let t(j) = -1. Let c(u) = 2*u - 5. Let r(k) = c(k) - 5*t(k). What is b(r(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2463, -2410, -2391, -2418, -2503, -2658, -2895, -3226?\n\"Answer: -2*b**3 - 5*b**2 + 82*b - 2538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*t - 84 = 0. Calculate the least common multiple of 21 and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 3, 4.\nAnswer: -8, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 102, 125, 168, 237?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1400 + -1402 + (0 + (0 - -1) - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1549*m**2 - 2 - 33*m**3 - 1 + 1546*m**2 + 0 - 7*m**3 to the form g*m + j*m**2 + c + o*m**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from jfjfffrgfj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-90)*(12575\/(-35210))\/((-2)\/(-18)*-5)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143 (base 7) to base 3.\nAnswer: -2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 477, 920, 1363, 1806, 2249?\nAnswer: 2692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-342)\/(-81) + -4)*-30*(-1)\/(-3).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/(-1) + (-46)\/(-23). Solve j = -2*j + n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-388)\/(-14) - 4\/(-14). Suppose z = 4*h - 4*k, 8*k - 4*k = -2*h + 8. Let g = 11 - 7. Calculate the greatest common factor of h and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1298.5 and 1.1.\nAnswer: 1299.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5*y + 2*y + 9 = 0, -2*u + 4*y - 10 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3270*u**4 + 3*u - 1548*u**2 - 2 + 2 + 1636*u**4 + 1636*u**4 to g*u**2 + d*u**3 + c + a*u**4 + r*u and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*n + 5, -3*l + 4*n - 1 = -4*l. Let i be (-1)\/l - (-5)\/(-15). Suppose i = -0*o + 3*o - 417. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -14, 0.4, -1, -17 in decreasing order.\nAnswer: 0.4, -0.1, -1, -14, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/3 >= -0.11896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -3\/2146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 60.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -14.9. Let k = -0.1 + b. Sort 2\/3, k, 4.\nAnswer: k, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -50*v**5 + 345*v**4 + 1095*v**3 - 1315*v**2 - 345*v + 270 = 0?\nAnswer: -3, -1\/2, 2\/5, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1140 and 122860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.3 and 0.00689.\nAnswer: 0.022737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 - 47.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00817 rounded to 4 dps?\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 9*n**2 + 2*n + 19. Let m = 64 - 73. What is the units digit of h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 - 23*f**5 - 16*f**5 + (-f**4 - 3*f**4 + 3*f**4)*(f - 3*f + f).\nAnswer: -35*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -11) + 1 - 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p + 21 = 34*p - 3*u, 0 = 2*p - 5*u - 28 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-52))\/(((-28)\/(-91))\/(-2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 23200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1721603435?\nAnswer: 5, 2243, 153509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {d: 4, m: 5, f: 3, c: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 57*q - 2339, -2*n + q - 557 = -2*q - 430 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1155.9997234 - 1156. What is f rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -110.9?\nAnswer: 115.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.189 and 109?\nAnswer: 20.601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -67 + 67 + -6 + 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 - -23) + -4 + 1 - (-1 + -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 > -325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -4. Let k = 333.95 - 333.85. Which is the fourth biggest value? (a) i (b) 4 (c) k (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -42*k - 147. Let l be p(-4). What is the greatest common divisor of l and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4547061638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17563660 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 55?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 61*s - 32. Let v(j) = -j + 1. Let f(y) = -4*v(y) + w(y). What is the derivative of f(x) wrt x?\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*1\/3*(-1584)\/96. What is the second derivative of 12*l**4 + 11*l + 59*l - 44*l**4 - o*l wrt l?\nAnswer: -384*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/180 and -86\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -46, -203, -530, -1087, -1934, -3131?\nAnswer: -4738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23033 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 1\/120*j**6 + 8*j - 2\/15*j**5 + 11*j**2 + 0 + 1\/3*j**4 + 0*j**3. Let p(w) be the first derivative of r(w). Calculate p(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11206, -22415, -33628, -44845, -56066?\n\"Answer: -2*o**2 - 11203*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvzzvvvzvzvvvvvvvv?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 15\/(-9)*1)\/((-564)\/11844)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 86, 85, 84, 83, 82, 81?\n\"Answer: -m + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*t**2 - 13*t**2 + 45*t**2 + 548*t - 227*t - 5*t**2.\nAnswer: 2*t**2 + 321*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72022 divided by -2.\nAnswer: -36011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 minus 0.17?\nAnswer: -3.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from ucolcllllbllllclco.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 140*u - 272*u + 134*u. Suppose -n - 3 = 3*v, -n - 4*v - 4 = -2*n. Let o(b) = -b - b - b + n. Give o(g(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*r = -y - 16, r = y + 1. Let x(k) = k**2 - 6*k + y*k**2 + 4*k**2 - 9 - k**3. What are the prime factors of x(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.7 * -103\nAnswer: 2544.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8714314?\nAnswer: 2, 7, 37, 16823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o**2 - o + 5. Let g(r) = -37*r**2 - 4*r + 19. Let y(m) = 2*g(m) - 9*h(m). What is the units digit of y(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = b - 8562*x + 8560*x + 1, 0 = -24*b + 5*x - 74 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 436445 and 22886750?\nAnswer: 938356750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40752 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 57 and 0.108.\nAnswer: 57.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**4 - 12*v**3 - 579969*v**2 + 83198*v - 142 wrt v.\nAnswer: -24*v**2 - 72*v - 1159938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18616*q - 18613*q - 124 = 13*j, -57 - 7 = 27*q + j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3930, -7847, -11758, -15669, -19586?\n\"Answer: -h**3 + 9*h**2 - 3937*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 15*w - 37. Determine y(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 30*q - 150. Let t(f) = -3*f + 15. Let x(g) = -21*t(g) - 2*v(g). Let s be x(6). What are the prime factors of ((-1)\/3)\/(s\/(-171))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 46. Solve -k + 0*k - 4 = 3*p, -h*p = k + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 12:15 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let p(o) = -2457*o. Calculate f(p(i)).\nAnswer: -4914*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87\/58)\/(3\/16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 4 - (1 - ((-5 - 1) + 1))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/(-330)*4*1\/(-3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8454568?\nAnswer: 2, 31, 73, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/112146 and -13\/8652.\nAnswer: 161714532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 722, 94, -2 in ascending order.\nAnswer: -2, 94, 722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582*r - 100 = 72*r - 1120 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(66))\/sqrt(6) - ((sqrt(11) - sqrt(66)\/sqrt(24)) + sqrt(11))**2 - -5*((sqrt(11) + -1 + sqrt(275))**2 + sqrt(11))*-3.\nAnswer: -23919\/4 + 167*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2 and -57\/31808?\nAnswer: 31808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*y**2\/5 + 8*y - 116\/5.\nAnswer: 4*(y - 1)*(19*y + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from {t: 2, x: 1, o: 1, y: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y**3 - 554*y**2 - 172*y - 36. What is q(-92)?\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(475)*1 - (sqrt(171)\/(sqrt(9)*-2))**2 - (-3 + (sqrt(76))**2*-3)).\nAnswer: 5*sqrt(19) + 885\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - -6*(-3)\/6. Let w = 12 + z. Let d = w + -6. Solve 0 = -5*g, 0 = -3*v + 2*g - d + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21467?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 7*l**5 - l**4\/2 - l**3\/3 + 182*l + 289. What is the third derivative of z(d) wrt d?\nAnswer: 840*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221880 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1074 = 456. Is 102 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y. Let r(l) = -2577350*l**2. Determine m(r(w)).\nAnswer: -7732050*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72331, -144675, -217051, -289477, -361971, -434551, -507235, -580041?\nAnswer: -652987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 1 = 3*q + 7, 5*q - 32 = -n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.094 and 1.05.\nAnswer: 0.0987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -20. Let r be (0 - (-7)\/m)*(27 - -1). Calculate the highest common divisor of 42 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/44*0\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -50556.57.\nAnswer: 10111.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7664 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u - 2*u. Let f = 0 + 2. Let g(n) = u*n**2 + n + 2 - f*n**2 - n**2. Determine g(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = -24*j + 280 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 3:23 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5935.\nAnswer: 5, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7942?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15113683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-8 - -3)\/1. Suppose -g + h + 2 = 3*g, -s*g = -h. Solve -g - 15 = -4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1185\/40 + -20 + -10.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44102 (base 5) to base 6.\nAnswer: 22003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.37407 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -3. Let o be v\/(-8) + 46\/(-4). Let a = o + 44. Calculate the remainder when a is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v + 3*v)*(3 - 3 + 4)*(8 - 8 + 3*v + (2 - 2 + 2*v)*(-4 + 0 + 2) - 1 - 1692*v - 4 + 1695*v).\nAnswer: 32*v**2 - 80*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qggrr. Give prob of picking 1 r and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -432851 or -7358481\/17?\nAnswer: -7358481\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, h: 3}. What is prob of sequence hhbb?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -995972, -995974, -995976, -995978, -995980?\n\"Answer: -2*w - 995970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (1 + -4) - -9 - (-4 + 12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -529.6 - -530.4. Let d(k) = -2*k. Let z be d(1). Which is the closest to -1? (a) -1 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (0 - -2) - 27) + (-7 - (11 - 32))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/44 (b) -4 (c) 1 (d) 11 (e) 2 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 8552246?\nAnswer: -8552245.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-2)\/(-12)*22\/506*-23\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78246 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1275061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -22. Let h(m) = -6*m**2 + 15*m + 1. Let z(i) = 5*i**2 - 14*i - 2. Let f(v) = 6*h(v) + 7*z(v). Calculate the lowest common multiple of f(-6) and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**4\/4 + 2*p**3 + 4*p - 205. Give h(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*n**2 - 428 + 428 + 107*n**2 - 240*n**2.\nAnswer: 54*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 47541280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(6822\/21603)\/((-6)\/(-1634))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1057859792 to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-1) - -5) + 0. Let q = -58 + 75. Suppose 4 = -16*y + q*y. Solve 0 = -j + 5*v - y, 2*j + 2*v + v = h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 0. Suppose 0*b = -d*b + 162. What is the remainder when b is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20867*u**3 - 2*u**2 - 15761*u?\nAnswer: -125202*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/20*40\/112*(-12)\/6.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*f**3 + 12*f**3 + 2*f + 23*f**3 + 5*f**4 to o*f**2 + d*f**3 + j*f**4 + i + b*f and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3004502 (base 6) to base 4\nAnswer: -202123112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -11\/6 (b) 38 (c) -1\/2 (d) 1 (e) 1\/11 (f) -156\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118962 = 776*t - 722*t. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1602 - -2327. Suppose 91*a - 86*a - o = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9425518 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 4, -139, -1 in ascending order.\nAnswer: -139, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 3, m: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 29, 97.\nAnswer: -0.05, 29, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6721*t**2 - 10. Let g(s) = -507442*s**2 - 754. Give -5*g(m) + 377*n(m).\nAnswer: 3393*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 12. Let d = -8 - m. Suppose 4*x + d = -9. Which is the biggest value? (a) -0.1 (b) x (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-5) - (2 + (30 - 26))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*a**3 + 0*a**3 + 21*a**3.\nAnswer: -17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2332*w = -2289*w + 1591 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwqq when four letters picked without replacement from quqqvpvuquqw?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*r + 6. Suppose 0 = 4*a + r*a - 1842. Suppose 3*h = 4*h - a. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*s**3 + 108*s**2 + 68*s - 24.\nAnswer: 4*(s + 1)*(s + 6)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 808466323?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcfndcdcbdbcllcccf. What is prob of picking 1 c and 2 b?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2310180 divided by -577545?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 4, -37.5, -12, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -22*v. Let a(j) be the second derivative of j**4\/3 + 47*j. Determine a(q(z)).\nAnswer: 1936*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11656 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*89071.\nAnswer: 44535.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28366944 by -1181956.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from ufnfnfkdnffnnrrn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2 - 3*x - 2 + x + 4*x. Suppose 6*j - j - 20 = -5*p, p - j - 6 = 0. Give g(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/5 (b) -1236\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 103. Is q(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43105776.\nAnswer: 2, 3, 7, 128291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, u: 2, c: 1, z: 1, s: 1}. Give prob of picking 1 x and 1 s.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 428634 divided by -142878?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 + 12. Let l be q(-3). What is the greatest common factor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 20260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 10:53 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 24 = d, 0 = 3*d + 11 + 1. Let p = -99 + 225. What is the remainder when (p\/24)\/(3\/16) is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {i: 1, z: 2, b: 1, y: 1, t: 1, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98471881 is divided by 49235930.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1435 and 3293220.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -1 + 20*(-12)\/(-60). Let w be 2 + (1 - 11 - -1). Let r be w\/28 + (-10)\/(-8). Solve 0 = -2*s + l*s + r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397126?\nAnswer: 2, 29, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*b**3 + 4*b**2 + 15*b - 80 wrt b?\nAnswer: 210*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 443*a**2 - a - 1. Let q be z(1). Calculate the greatest common divisor of q and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -540, -756, -1116, -1620, -2268, -3060, -3996?\n\"Answer: -72*x**2 - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 9.5. Which is the fourth biggest value? (a) 2 (b) l (c) 4 (d) 0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 72*m - 284. Calculate the smallest common multiple of h(76) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 8*o + 86. Let y be a(-14). Calculate the highest common factor of 206 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2581?\nAnswer: 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l. Let h be j(-2). Suppose -h*f = -0*f - 2*n - 28, 4*f - 2*n = 66. What is the greatest common divisor of f and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 2 - 26224*c + 5341*c - c**2 + 1.\nAnswer: -c**2 - 20883*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8868 by -832.\nAnswer: -2217\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lallalaallallalaaa. What is prob of sequence aal?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105 - 2*s - 219 + 5*s**4 + 66*s**3 + 17*s**2 - 17*s**2 + 113 to the form a + i*s**2 + b*s**3 + z*s**4 + p*s and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111 - -429. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1100) + -1 + sqrt(1100) + sqrt(1100))*2 - (sqrt(1100)*1 + 1))**2*6.\nAnswer: -10800*sqrt(11) + 990324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**5\/20 + 4*y**2. Let p(k) = k**2. Let v(c) = 8*p(c) + 3*t(c). Let m(i) = -7*i. Determine v(m(q)).\nAnswer: -49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40133*c**3 - 20139*c**3 - 19988*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 856665 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**4\/6 + k**3 - 7*k**2\/2 + 590*k. Determine r(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyxisyssyiiyiuuixyi. What is prob of sequence sx?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 35 = 2*d. Let h(s) = s**3 - 4*s**2 + 6*s - 2. Let w be h(d). Let a(p) = p - 1. Let z be a(3). What is the highest common divisor of w and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o. Let h(x) = 4*x. Let a(s) = h(s) - 3*w(s). Suppose 6*j - 36 = 2*j. Let q(k) = -2*k. Determine j*a(g) + 4*q(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -528 and -184635.11.\nAnswer: -185163.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2376*c**2*n**2 - 17820*c**2 - c*n**3 wrt n.\nAnswer: 4752*c**2*n - 3*c*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 + 46. Let y be (-33)\/(-9)*-3 + n\/(-2). Is y bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -307538 + -310?\nAnswer: -307848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y*y\/y**(-9))\/y)\/y)\/y)\/y**5)**(2\/15)\/((y**(2\/5)\/((y\/(y\/((((y**(2\/5)\/y)\/y)\/y)\/y)))\/y))\/(((y**(-1)*y)\/y)\/y)**(-18)) assuming y is positive.\nAnswer: y**(157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*j - 8. Solve 3 = d - g + j, -3*d - 5*g = -17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**4 + y**2 - 4*y**4 - y + 0*y**4 + 3*y**3 as b*y**3 + o*y**2 + s*y**4 + w*y + t and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1986*q + 13790 = -541*q + 12834 - 22164 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**3\/3 - 8*m**2\/3 + 4*m\/3 + 8\/3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*a + 0*a + 1)*(-42*a**3 - 39*a**3 + 408*a**4 + 77*a**3).\nAnswer: -816*a**5 - 808*a**4 + 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 14*i - 2*i**2 + 3 + 5 + (92 - 92 - 9*i**2)*(-12 - 2 + 0) + 2*i**2 + 2*i**2 - 2*i**2.\nAnswer: 126*i**2 + 14*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1136*p - 1641 - 631 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7)**(3\/17) assuming u is positive.\nAnswer: u**(21\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*f**3 + 67 + 55*f**3 - 103*f**3 as p + g*f + n*f**2 + v*f**3 and give p.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1398 and 372646686?\nAnswer: 372646686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**3 - h**2 - 3*h + 2. Let l(j) = 11*j**3 + 2*j - 1. Let b be l(1). Suppose b = 4*p - 0. What is the tens digit of f(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 806700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 39*u - 892. Let y be n(23). Solve 0*r = y*r + l - 10, 2*r = -2*l - 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -11000001101100000?\nAnswer: -11000001101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/15)\/(x\/x**(6\/11))*x\/(x\/(x*x**(-1\/9)*x))*x**(-3\/2)*x assuming x is positive.\nAnswer: x**(793\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511543.\nAnswer: 23, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 8*a**3 - 6*a + 6*a.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15 - (1 - -15))*(-3 - 0). Solve 4*b - r*u + 17 = 0, -7*b - 4*u = -5*b + 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/(q**15\/q)))\/(q*((q*q**4*q)\/q)\/q))**(7\/2) assuming q is positive.\nAnswer: q**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 divided by 26.\nAnswer: -159\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -394*z - 44*z + 94 - 94 to the form y + n*z and give n.\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 21746140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2061)\/(-687) + 1 + (-52)\/14\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z - 12. Let g = 9 + z. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**2)\/f)**(-41)\/(f**(1\/9)\/((f\/(f*f**0*f)*f)\/f)) assuming f is positive.\nAnswer: f**(-748\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 897025601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:16 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 8*o**2 + o - 6. Let q be s(-8). Let f = 20 + q. Let j = -4 - -8. Solve -j*r + 4 = -f*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*b = -113*b - 126 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -503, -972, -1439, -1904, -2367, -2828, -3287?\nAnswer: -3744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34383 = 6*b - 9*b + 4*l, 3*l = -4*b + 45869. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Suppose q + i = 0, 5*f - 2 = -4*q - 0. Let d = 9 - 8.7. Which is the biggest value? (a) -0.4 (b) f (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 6. Suppose 2*c - w = -15, 3*c - 6*w = -8*w - 19. Put -2, 4, c, p in increasing order.\nAnswer: c, p, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*f = -104, 5*f - 60 = -3*n + 2*f. Let a = 40 - n. List the prime factors of -3 + (-3 - -4) + a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2292\/18485?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - c - 3*c**4 - 4*c**2 + 2*c**2 + 4386*c**3 - 4388*c**3 as b*c**4 + q*c**3 + a*c**2 + x + z*c and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 16 = -3*g. Suppose 3*b - 5 = g. Let i be -3 - 3 - (23 - 31). Solve -n + 3*z = 2*z - 1, -i*n + b*z + 7 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 26 + 22. Let r(f) be the second derivative of 4*f**2 + 0 + 9\/2*f**4 - 2*f - 27\/20*f**5 - i*f**3. Factor r(u).\nAnswer: -(3*u - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -1\/6*l**4 - 5\/6*l**3 + 0 + 2*l + 0*l**2. Calculate w(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 24*y - 1416. Is 9 a factor of g(75)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 2*y**2 - 1. Let t(h) = 6*h**2 - 9*h**2 + 6*h**2 - 2*h**2. Suppose 0 = -13*r + 5*r + 336. Let i = -40 + r. Give i*t(w) - s(w).\nAnswer: w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**5*s - 5*r**3*s - 4156*r**3 + 77185*r**2*s wrt r?\nAnswer: 120*r**2*s - 30*s - 24936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*o**4 + 9*o**2 - 1328*o.\nAnswer: 660*o**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**2 + 35*q + 150. Is n(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.6. Sort n, 5, -0.5, -6 in decreasing order.\nAnswer: 5, n, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -790374 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -686 - 655?\nAnswer: -cdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89*c*x**3 + c*x + 30191*c + 4*x**3 + 4*x wrt x.\nAnswer: -267*c*x**2 + c + 12*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4\/4 - 147*u**3\/2 - 4557*u**2\/4 - 4116*u.\nAnswer: 3*u*(u - 112)*(u + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-1\/7)\/(((x*x**0)\/x*x)\/x**(-2\/7)) assuming x is positive.\nAnswer: x**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4499\/3 + -1499. Suppose 0 = -4*c + 2*c + 4. Suppose -c = -a + 3*a. Which is bigger: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0 + 37) - 0 - (7 + -10) - 5.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -1 - 0 - (14 + -18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 6. What is j(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -270 or -1\/79844?\nAnswer: -1\/79844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 1, s: 1, k: 10}. What is prob of sequence rh?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*y - 72*y + 21 = 2*l, -5*l - 5 = y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 + 137*i**2 - 163*i + 3315. Determine l(-70).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128261527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -8 + (1078\/352 - (-2)\/(-16)) + 0\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 8*q**2 + 8*q + 7. What is t(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-72) - ((-4050)\/(-72))\/1.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.9. Let m = g + 0.5. Let r = 66480 + -66479. Which is the biggest value? (a) r (b) 0 (c) -5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:27 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 20*b + 43 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 + 493*y**2 + 256*y + 95279. Give b(166).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 - 4970*h + 91 + 9.\nAnswer: -4970*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349901832.\nAnswer: 2, 3, 7, 2082749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14597 = -4*n - 43*n + 15490 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*k - 1, -4*k = -3*f + 38. Suppose -u + f = -3. Suppose 2*g - u = 49. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57849\/16 - 3613. Calculate the common denominator of v and -89\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 20) + 0 + -7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6458.756nm in kilometers?\nAnswer: 0.000000006458756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w + 9. Let d = 6 + -3. Solve 2*m - w = -3*z, -4 = -4*m - d*z + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1210 - 4475 = -5*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1698*a**3 + 2202*a wrt a.\nAnswer: 10188*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoocwwo. Give prob of picking 1 c and 2 o.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-13)))\/(m\/(m*m**(-2\/13)*m)*m))**(-3\/19) assuming m is positive.\nAnswer: m**(-501\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 871000 to the nearest ten thousand.\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**4\/4 - 3*t**3\/2 - t**2. What is the derivative of n(q) wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24323824, -48647648, -72971472, -97295296, -121619120, -145942944?\nAnswer: -170266768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167*f**4 + 238 - 330*f**4 - 402 - 337*f**4 - 5*f wrt f.\nAnswer: -6000*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h - 1 - 2*h**2 + 1 - 2*h in the form k + u*h + q*h**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 11*p - 9. Let c = 0 - 7. Is q(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1adc513 (base 14) to base 11\nAnswer: -7650560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9931, -18088, -26245, -34402?\n\"Answer: -8157*n - 1774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -292*(1 + -11 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7284041 * 10.\nAnswer: 7.284041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 1908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1264 divided by 16\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + 1 + (-6*-4*sqrt(128) - (sqrt(128) + -1 + sqrt(128))*-3))**2.\nAnswer: -1440*sqrt(2) + 115209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-4)\/x))\/x*x)**(-12\/11) assuming x is positive.\nAnswer: x**(-72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4134 and 546.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(28)\/sqrt(4) - sqrt(77)\/sqrt(99))**2.\nAnswer: -4*sqrt(7)\/3 + 37\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 5*a + 10. What is l(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*m + 50748*m**3 + 59*m.\nAnswer: 50748*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9\/12*-12*32\/(-720)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6268187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 0*l - 1\/60*l**5 + 0*l**4 - 7*l**2 + 0 + 5\/6*l**3. Let g be h(0). Solve 0 = -4*t + g*y + 17, 3*y = -3*t - 2*y - 31 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.5, 4, -2\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqpxrrrqqtrwrqqtrptp. Give prob of picking 1 x, 1 t, and 1 q.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4000 - 0?\nAnswer: 4000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 17*c = 4*t - 410, 5*t - 511 = -3*c. Calculate the remainder when t is divided by 71.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6915\/4 or -1730?\nAnswer: -1730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-6\/13)*u*u*u**(2\/21)*u*(u\/u**(-5))**(-2\/19) assuming u is positive.\nAnswer: u**(20360\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3. Suppose 3*k + 869 = 5*d - k, -2*k + 690 = 4*d. Let f = 169 - d. What is the third smallest value in f, u, -1, 9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147506 is divided by 133?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15407349 rounded to 4 dps?\nAnswer: -0.1541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (10 + -1 - (13 + -6)) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 102 = -2*k, -57*r + 204 = 4*k - 52*r. Calculate the remainder when 77 is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/13)\/l**(-1\/6)*l**(-2\/5)*l**(-2) assuming l is positive.\nAnswer: l**(-901\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 407955446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 14}. Give prob of sequence mlmm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3092, 11524, 25392, 44696, 69436, 99612?\nAnswer: 135224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -2*(-4)\/8*5. Suppose r = 4*z + 3*r + 12, -v*z = -5*r - 17. Let x = 8 - 3. Sort 1, z, x in descending order.\nAnswer: x, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*z**2 + z**3 + 2 + 30*z**2 + 0*z - 18 + 2*z**4 - 21*z + 2*z as n*z**2 + k + l*z + x*z**3 + m*z**4 and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + d + 2 = -3, 4*q + 4*d = 0. Let t be (-1 - 2)*1\/3. What is the remainder when 41 is divided by t + q + (-21)\/(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/125 and 163\/240?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**4\/4 + w**2 - w - 6. Calculate v(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259847050 divided by 51969410.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) - sqrt(1275))*-2)\/sqrt(3) - (2*sqrt(187) + sqrt(187))\/sqrt(11)*4.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 240220110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 17*g + 29. Let u be w(-15). Let q be -3*(u + -6) - (2 + 2). Suppose 0*x - 2 = -x. Solve y - 11 = 3*j, -x*y - y = -j - q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*1*6\/15)\/((-2160)\/480).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*j**2 + 6285*j + 18090.\nAnswer: 5*(j + 3)*(17*j + 1206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 5*m - 1. Let k be n(4). Let p be (-8)\/(-5) - 2\/k. Does p = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 79*b + 1561. Determine w(40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 17 = 2*u. Suppose -3*n + u = 2. Let s(v) be the third derivative of v**5\/60 - 5*v**4\/24 + 2*v**3\/3 - 3*v**2. What is s(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 8368. Let w(y) = 2*y. Calculate b(w(r)).\nAnswer: 4*r**2 - 8368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 8 = 7*d - 12 - 79, h + 4*d + 38 = 0 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -19. Let i = -8 + j. Let q = i + -0.7. What is the second smallest value in -4, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.69951 to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -6. Suppose -m + 2*i = -6, -3*m + 11 - 2 = -3*i. What is the nearest to m in b, 1, -5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*y - 8, y - 5*g = -y + 20. Suppose y = -2*z - 5*v + 1029, 137 = -z + v + 655. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*(-40)\/(-64) + 465 + 0. Let u = a + -470. Solve u*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36 + -144a20?\nAnswer: -1449a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 81 + 0*b + 59\/3*b**3 + 12*b**2. What is the second derivative of x(q) wrt q?\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511.408114957 less than -0.492?\nAnswer: -511.900114957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 + 5*w**3 - 7*w**2 + 2*w**2.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 1 = m, -17*q + 19 = -14*q + 2*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Suppose 2*w - z*w + 6 = 0. Suppose -5 = w*y - 17, 4*u = 2*y + 16. Solve -5*b + u = -4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 - 303?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 2, -2, -3, -3071 in ascending order.\nAnswer: -3071, -3, -2, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2362928*s*u**3*v**2 + 3*s*u**3*v - 10*s*v**2 + 12*u**3 - 44*u**2*v - 177*u - 2*v**2 + 5*v wrt v.\nAnswer: 4725856*s*u**3 - 20*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 869 - (-7*(-4 - -3) + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 - p - 2. Let u be v(5). Suppose 4*n = 3*n + u. What is the highest common divisor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 996 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 402948 and 118601028.\nAnswer: 355803084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000071 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 13 = 3*d + d, -2*i - 6 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hii when three letters picked without replacement from ihiiiiiiih?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-400)\/(-50))\/(12\/21)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*h - 15712, 4*h - 11784 = -3*m + 9*h. What are the prime factors of m?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*c + 1 = 5*c, -5*c = 2*d - 23. Suppose d*q - 63 = q. Calculate the greatest common divisor of q and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5) - 0\/(-1). Suppose 13 = 2*p - l + 4, 5*p - 4*l = 21. What is the second biggest value in p, c, -3\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*m - 3*m. Let p(q) = q + 2. Let a be p(m). Let z be 3*(-1 + 2) + 0. Solve 4*r = -z*c - a, -4*r = 12 - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**4 - 655*u**3 - 8860*u**2 + 561280*u + 2346240 = 0.\nAnswer: -104, -47, -4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -8 - (-2 + 1 - 10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00137970857 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 8*s**2 + 20*s + 19. List the prime factors of g(9).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = 14*m + 17*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -111101100110101011100 (base 2) to base 4\nAnswer: -13230311130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/16 and -9\/11272.\nAnswer: 22544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1180528311 - -610.1183218311. Let n = 698 - 1308. Let o = n + v. Round o to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -7, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -d, 0 = -d + 18*c - 23*c - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3112, -7551, -11990, -16429, -20868, -25307?\nAnswer: -29746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55 - 97 + 32)*(-1 + 1 - 3*z**3) + (-2 - 2 + 3)*(-z**3 + z**3 + 2*z**3) + 30*z**3 + 546*z - 546*z to the form j*z**3 + h + p*z**2 + i*z and give j.\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.03 - 0.03. Which is the closest to 2\/7? (a) -0.1 (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 + d**5 + d**5 - 3*d**5 - 4 + 4 + (d**4 - 3*d + 3*d)*(-4*d + d + 5*d) - 2*d**5 - 2*d**2 + 2*d**2.\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426982257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - n - 1. Let l(i) = 15*i**2 - 18*i - 18. Let o(d) = -18*c(d) + l(d). Factor o(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104510392 is divided by 1659?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -18. Let v(z) = 4 + 5*z + 4*z - 3*z - 3*z. Let g be v(a). What is g rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**4\/2 - 35*c**3\/2 + 1267*c**2 - 8760*c = 0.\nAnswer: -73, 0, 8, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -16, -12, -2\/9, 1\/5, 133.\nAnswer: -16, -12, -1\/3, -2\/9, 1\/5, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (-4*(sqrt(152) + sqrt(152)*1) - sqrt(152)))\/(sqrt(200)*2).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5161*b*z**4 - 485*b + 8 with respect to z.\nAnswer: -20644*b*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 2 + 2 + (-1 + 1 + t)*(7 - 7 + 8*t))*(3 - 1 - 1)*(-2*t - 2*t + 5*t)*(9*t - 6*t**2 - 9*t).\nAnswer: -36*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 25 - 33 + 4 + j + 3. Let f(g) = -9*g + 4. What is f(r) + 4*x(r)?\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-42)*(-5 - 1). Is (-14061)\/(-43) + 2*n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8543 - -8545. Solve 0 = -6*h + 2*h, -o = -y*h + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6527 * -4.09\nAnswer: -26695.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4\/((u*(u**(-3)\/u)\/u)\/u))\/(u\/(u\/(u**3*u))*u**(1\/2)\/u) assuming u is positive.\nAnswer: u**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (41 - 10)) + 51.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/33)\/(5\/(-3)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00099766371 rounded to five decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2382.\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -4*q - 63. Suppose 9*v = 8*v + q. Put -2, v, 4, -19 in ascending order.\nAnswer: -19, -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 - 2)*(-4 + 5 + 1)*(4*l + 0*l - 6*l) in the form x*l + j and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - c + 1685 = 0, 0 = b + b - 2*c + 666. Let x = -0.1549 - -0.1549. Is b >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-35)\/10 - 0)\/(140\/(-120)). Let v(d) be the second derivative of 20*d + 6*d**2 + 2 + 5\/2*d**n. What is the derivative of v(f) wrt f?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/16 of a day?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3547 + 1216 - 16*j + 1107 + 1224.\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**5\/20 + 5*m**4\/6 + 7*m**3\/3 - 29*m**2. What is the units digit of o(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 300 = 6*p. Suppose 3*g = g - 2*m + 62, -3*m = 0. What is the remainder when p is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 65151.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1248*o = 1238*o - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 145877, 291743, 437609, 583475, 729341?\n\"Answer: 145866*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 12, -5, -2116 in decreasing order.\nAnswer: 12, -5, -6, -2116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-5 - -3)) + 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/120 + c**5\/20 - c**4\/6 + 4*c**2. Let t(z) be the second derivative of d(z). Differentiate t(y) with respect to y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68322682 is divided by 112?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1590706765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 2*x + 4*n - 4828, -3*x = 4*n - 7277. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*n**2 - 171*n**2 + 56*n**2 - 2*n**3 + 59*n**2.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 4649129?\nAnswer: -4\/4649129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 + 5)*(-5 + 1 + 2)*(-r**3 + 6*r**3 - 3*r**3).\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2830 - 2835.2. What is the third smallest value in i, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-4))\/(-2) - -4. Let l be 3\/d + 18\/45. Let p be (-1 + 0 + 2)*3. Sort p, l, -3.\nAnswer: -3, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1 + 3. Let r = 3.27 + 0.13. Let p = 3.3 - r. What is the closest to p in g, 4, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1740 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 y when four letters picked without replacement from hsmhymfymmhs?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10611 by -359.\nAnswer: 10611\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 25, 3\/8, 0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/11)\/j)**(-3) assuming j is positive.\nAnswer: j**(24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 5*v + 4. Let d be g(-5). Suppose 2*n = -n + d*a + 33, 2*a + 6 = 0. Calculate the lowest common multiple of n and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 360 - 227. Let n(p) = -28*p + 393. Let z be n(7). Let x = z - k. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 + 66. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 40925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1171km in meters?\nAnswer: 3117.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -67833953 at most as big as -67833953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400)*-2)\/sqrt(2).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -7*t**5\/20 - 31*t**4\/6 + 83*t + 51. Let z(b) be the first derivative of d(b). What is the third derivative of z(n) wrt n?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dc18 + 160?\nAnswer: dd78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -0.1 (c) 2 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*m**2 - 1109714*m - 2536416 = 0. What is m?\nAnswer: -79263, -16\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17568.5ng in milligrams?\nAnswer: 0.0175685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least -1281851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 20*m - 105. Let x be h(13). Suppose -448 = -3*s - 2*t - 0*t, s = 5*t + x. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, g: 1, y: 2}. Give prob of sequence gg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -288.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 141.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-510)\/50 + 1\/5. Let x = 2 - h. Solve x = 5*o - 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78227541*j**2 + 135165506*j.\nAnswer: 156455082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 15*u**3 + 11*u**2 - 15*u - 17. Let w(t) = 14448*t**2 - 9*t + 0*t - 9 + t - 14442*t**2 + 8*t**3. Calculate 6*r(q) - 11*w(q).\nAnswer: 2*q**3 - 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 182.02, 5\/4, -4?\nAnswer: 182.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -25. Let z = u + -15. Solve 5*k - 8 - 2 = z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 14) in base 2?\nAnswer: -1001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1107864)\/(-690)*(-10)\/(-4)?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1272 and 97467?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.4, 0.0951, -1\/2?\nAnswer: 0.0951","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fqffqfqfqf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*h - 2654055 = -1035621. Calculate the greatest common factor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + b**2 - 2*b + 6. Let h be s(-7). What are the prime factors of h\/(-18) + (-2)\/9?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from {a: 5, m: 5}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.791 - -0.209. What is the nearest to -6 in x, 0.2, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.469 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 321 - 278. Are a and 44 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18541517.\nAnswer: 59, 314263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 89629332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 372, 373, 374?\n\"Answer: v + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1235096.\nAnswer: 1235096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49608)\/(-11024)*(2\/(-15))\/((-1)\/(-10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 128 + -156. Let c(w) = -2*w**2 - 58*w - 20. Let q be c(n). Calculate the highest common factor of 36 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -3 + 2 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 11042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -6. Let k(w) = -2*w - 10. Let m be k(c). Calculate the least common multiple of (12\/(-10))\/((-2)\/m) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*y**2 + 321*y**2 + 74*y**2.\nAnswer: 819*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -420 (base 16) to base 12.\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -22. Let g be (-1)\/f + 21\/5. Calculate the remainder when (-475)\/(-9) - g\/(-18) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1120*d**5 - 2902*d**4 + 1318*d**3 + 12*d**2 = 0. What is d?\nAnswer: -1\/112, 0, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 + 0*a - 66 + 3*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2126 in 8\/7, 1\/6, 1\/4?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 38. Find the common denominator of ((-2)\/(-50))\/(c\/(-440)) and 22\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -383*s**2 + s**3 + 855 + 245*s**2 + 138*s**2 to the form a*s + i*s**3 + g + y*s**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7*-10\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*102\/51 - -19.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(32\/12) - 0. Let s(n) = 2*n**3 + 2*n**2 - 1. Let r(o) = -2*o**3 - 3*o**2 + 1. What is t*r(z) + 4*s(z)?\nAnswer: 2*z**3 - z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1833.\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -25 (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -29. Let g = -12 + o. Let s(t) = -3*t + 65. Let q be s(21). Solve 12 = g*w + q*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u + 5. Let h = 983 + -1385. Let z = h + 400. Determine t(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 157 - 154. Let f = 4 - 3. Which is the third biggest value? (a) f (b) 2\/21 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 + 38643*t**2 - 618224*t + 7418432\/3.\nAnswer: -(t - 115913)*(t - 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32367\/10 + 3237. What is the closest to -0.2 in 3, 5\/7, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 397837*j**3 - 8960*j**2 + 216*j wrt j.\nAnswer: 2387022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2) + 0 + sqrt(2))*-6 - sqrt(18)\/(1*sqrt(225)).\nAnswer: -61*sqrt(2)\/5 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -358, 7, 0.7 in descending order.\nAnswer: 7, 0.7, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6927069589\/4934 - -1403946. Let q = -17328483\/54274 - y. Let u = -319 - q. What is the common denominator of -107\/10 and u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 118 - 953 = 0. Calculate the highest common factor of o and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 576, 583, 594, 609, 628?\n\"Answer: 2*t**2 + t + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3128+432183338\nAnswer: 432183337.6872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x. Let r(h) be the first derivative of 2*h**3\/3 - 53. Calculate c(r(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 5*m - 1 = 0, 5*m + 14 = c + 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4358, -17428, -39212, -69710, -108922?\n\"Answer: -4357*o**2 + o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - 20. Let u be 14\/x + 16\/24. What is the third biggest value in -1, u, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(42) - -4*sqrt(42)) + sqrt(42))\/sqrt(6))**2.\nAnswer: 2527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-3684)\/204 - 480\/3400\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktzehkhehhhnhekzhtkk. What is prob of sequence ze?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.030049 + 0.370161. Let o = 3 - 3.4. Let q = o + z. What is q rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(468)*-1)**2*-2 + -6*(2*sqrt(117) + sqrt(117) + sqrt(117))**2*5.\nAnswer: -54288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -97, -85, -51, 17, 131, 303, 545?\n\"Answer: 2*u**3 - u**2 + u - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(156)*-4)\/(sqrt(24)\/sqrt(2)*-6*-1).\nAnswer: -16*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10885770 and 1295.\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -544, -1255, -1988, -2743, -3520, -4319?\n\"Answer: -11*z**2 - 678*z + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 3*m = 0. Let y be m\/(-1)*(-15)\/(-45). Let q(b) = -4*b - 1. Let g be q(-1). Solve -4*n = 3*a, 3*a + y*n + g*n = 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + 1 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/7, -7\/6, 2\/3, 5, 0.15, -3?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - h**2 - h - 1. Let q(n) = 12*n**3 + n**2 - 4*n - 4. Determine -q(y) + 4*u(y).\nAnswer: -16*y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (689*o + 8 - 2054*o - 6 - o - o + o + (-2 + 7 - 3)*(3*o - o - 3*o) + 2*o - 3*o + 0*o)*(3 - 3 + 4*o).\nAnswer: -5476*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546*x = -308*x - 127568. What is the remainder when x is divided by 68?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.3 + 25. Let x = 1 - w. Let l = x + 1.59. Round l to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*54.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93190406*o**3 - 192680140*o wrt o.\nAnswer: 559142436*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 41231.27 weeks?\nAnswer: 24936672096000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k - 16. Let u be a(-5). Suppose x = 3*x + 2. Let o be (0 - x)*(8 - 3). Solve -4*z = -3*r - 0*z, -u*z - 32 = o*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 20*o - 102. Determine c(-8).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149.441 decades to months.\nAnswer: 17932.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -35 + 28 - 11*s - 13*s**2 + 9 = 0.\nAnswer: -1, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00605831 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 135055849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 25 = 2*o, -5*o + 45 = -12*u + 7*u for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 3. Let w be x(3). Suppose 4*i - w = -0*i. Suppose j = i + 4. What is the remainder when 27 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17396*i**4 + 17396*i**4 + 390*i**5)*(4 - 24 + 2).\nAnswer: -7020*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(102)*6)\/(sqrt(6) + sqrt(6) + (sqrt(72) + sqrt(72)*4 + sqrt(72) + sqrt(72))\/sqrt(12) + sqrt(6))*-6 + -5.\nAnswer: -5 + 72*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 0.235846?\nAnswer: 0.164154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 103001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 2*g**5\/5 - 13*g**2\/2 - 12*g. What is the derivative of x(u) wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2. Suppose 3*t = t. Let i(d) = -2*d**2 + 5*d**2 - d**2 + t*d**2. Determine b(i(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -235 - -305. What is the least common multiple of v and 130?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 86655 and 1590?\nAnswer: 173310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 + 6*t**2 + 28*t - 42. Give m(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 10 + (-11 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -7.8 (c) -4\/17 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*o - 628378 = -613126 for o.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7684587 is divided by 3842290?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 213 - 213.042. What is r rounded to three decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*l - 2.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 8:31 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2624 - 2621. Sort -18, 13, m in descending order.\nAnswer: 13, m, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 81247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 7:47 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 0)\/(84\/(-210)). Let c(h) = -h**3 + 6*h**2 - 6*h - 3. Determine c(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 - 33 + 88)*(1 + 0 + 0)*(-35 - 8*r + 35) to p + t*r and give t.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 3*x**2 - 2*x. Let i(r) = -r**2 + r. Suppose 2*q - 4*q = 10. Let g = q - -3. Let k(j) = g*i(j) - l(j). Find the third derivative of k(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(12\/11)*c**19)\/(c**16)**(-4\/9) assuming c is positive.\nAnswer: c**(2693\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmrbgmmmg. Give prob of picking 1 r and 1 b.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 294 - -231. Suppose 5*r - 4*r = -5*y + m, 4*r - 4*y = 2028. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2))**45)**(7\/2)\/(((s*s**(-2\/15)*s)\/(s*s**(5\/6)*s))\/(s**(-4)*s**3\/s)) assuming s is positive.\nAnswer: s**(4663\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104*z**3 - 43*z**2 + 2*z.\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 688382305?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 24257800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 983 + -970. Solve c = -24*s + 11*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 62 + 58. Let u = 3 + f. Calculate the least common multiple of 24 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**13\/(p*((p\/(p\/(p\/p**(8\/7))))\/p)\/p)*p**24\/(p**12\/p) assuming p is positive.\nAnswer: p**(190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -7 + 3 - (1114 + -1023).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*i - 2*i + 10 = 0, -5 = 2*y + 3*i. Solve 16 = -3*m - k, y*k = m + k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2864)\/(-64) - (-3)\/(-4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8944498*j**3*o**2 + 34*j**2*o**2 + 8*j**2 - 2*o**2 + 5390*o + 2 wrt j.\nAnswer: 53666988*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -1 (c) -9374 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1722)\/70 - -25)\/(44\/10)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmfm when four letters picked without replacement from {z: 1, l: 1, m: 2, f: 3, j: 1, p: 10}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6 - 20\/(-21). Let v = 142435 - 1279888\/9. Let c = v + -225. What is the second smallest value in -1\/2, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532589 is divided by 88736.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -27\/2*a**2 + 3\/2*a**3 + 0 - 15*a = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -134*c**3 + 317*c**2 + 14. Let u(m) = -89*m**3 + 211*m**2 + 10. Let d(g) = 7*u(g) - 5*z(g). Find the third derivative of d(v) wrt v.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a + 11. Is f(3) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 348 - 346. Suppose 2\/11*c**k + 6\/11*c + 4\/11 = 0. Calculate c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -57.67?\nAnswer: 57.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*o = x + 18, 0 = 3*o + x - 14. Let y(j) = 3*j**2 - 11*j + 18. Let z(d) = -d**2 + 4*d - 6. Let g(c) = 2*y(c) + 7*z(c). Calculate g(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*q - 96. Let i(z) = -z + 9. Let u be i(8). Let w = u - q. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/693 and -37\/84161.\nAnswer: 757449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*r - 138909 - 222917 = 0. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51880 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*p + 48*p**2 - 101*p + 4 - p**2 - 4 + (-4 + 1 + 1)*(4*p**2 - 3*p**2 - 2*p**2).\nAnswer: 49*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = v - 9, 2*o + 1 + 4 = 3*v. Suppose 5*y - 118 = -43. Suppose c = v + y. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 21 = 3. Let p be ((-12500)\/(-3))\/(f\/(-792)). Round p to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j. Let g(b) = 819786*b**2 - b - 7. Determine g(v(s)).\nAnswer: 29512296*s**2 - 6*s - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3*(-6)\/(-4) - -4. Let w = -8 - -11. Solve b = -o*b + 4*h + 12, b + 5*h = -w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9875 and 799?\nAnswer: 7890125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -19*q - 13*q + 42*q - 13*q. Let g = -18 + 20. Let z(f) = -g*f - f + 5*f. What is w(z(o))?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {d: 2, c: 1, t: 4, j: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 396 - 4. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1727277324 to the nearest integer?\nAnswer: 41561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -1aa?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**4\/4 - 2*v**3\/3 - 5*v**2\/2 + 6*v + 260. Factor t(o).\nAnswer: (o - 3)*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276754807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1986468377?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 + 1.4. Let k = 1 + d. Let q = 8.4 + -8. Sort k, q, 0 in descending order.\nAnswer: q, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10)\/(21\/(-105))*-7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 11) to base 2.\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/(-10))\/((-10)\/525)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 - -0.76. Let w = y + -5.7. Let q = -4 - w. Which is the second smallest value? (a) -1 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -790997464 divided by 129842?\nAnswer: -6092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1211*t**2 + 2879 + 1207*t**2 + 4239 + 5940 - 2420*t**2.\nAnswer: -2*t**2 + 13058","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 225343866 to the power of 1\/2, to the nearest integer?\nAnswer: 15011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 4. Let x be b(5). Let v(f) = 156*f**3 - 162*f**3 - x + 0. Let l(z) = z**3. Let q be 10*4\/(-16)*12\/10. Calculate q*l(m) - v(m).\nAnswer: 3*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111212211100 (base 3) to base 9.\nAnswer: 2455740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59\/3 - 133\/15. Calculate the common denominator of u and 38\/13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297196483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4 - 528*d**3 + 12634*d**2 - 61764*d + 85680 = 0.\nAnswer: 3, 20, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -36*h**2 + 688*h + 687. Calculate g(-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ooc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-174)*316\/(-237).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 23*2 - 395915\/(-6091)\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a century in months?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1547616 divided by 29.\nAnswer: -1547616\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 61 = 13. Solve 6*f + 6 = o*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.061 + -0.061. Sort -0.1, d, -1\/7 in decreasing order.\nAnswer: d, -0.1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6801 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 7. Let t be q(10). Suppose t*y + 29 = -25. Let l be (-8)\/36 - 220\/y. Solve -3*w - l = 3*i, 4*i - w = -0*w - 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -975*z - 65 = -971*z + 5*y, 2*z = -3*y - 35 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -20\/51, -0.1, 68, 0 in increasing order.\nAnswer: -20\/51, -0.1, 0, 0.5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*u - x - x, 4*x + 4 = 0. Let t = u - 2. What is the units digit of (4\/t)\/(6\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-3 + (-9 - -4))) + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 13090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 95628937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/7 + 1194*y**2\/7 + 122496*y\/7 + 2822688\/7.\nAnswer: -3*(y - 486)*(y + 44)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*o + 6*b**2 + 218*b*o**4 + 2*o**4 wrt o.\nAnswer: -2*b**2 + 872*b*o**3 + 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6581 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, c: 1, p: 3, r: 4}. Give prob of sequence jr.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-137808)\/3520 - (-38 - 1)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uum when three letters picked without replacement from {u: 4, m: 16}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**3 + r. Let h = 19 + -15. Let y(l) = h - 5 + 1 + 2*l. Give y(x(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2566 - -293\nAnswer: 2859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*k + 48390, -32*n + 33*n - 19365 = -2*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k + 0*k - 156 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1737031\/2412 + -53\/603. Let n = 738 + a. Calculate the common denominator of n and -3\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 6*u**2 + 6*u + 7. Let j be k(-5). Suppose 0 = j*d - 5*d - 12, d = -3*v + 5. Let m = 34 + v. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62989435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10613.\nAnswer: 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = z, -15*y - 129*z - 70 = -124*z for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-17)\/(-4))\/(3\/(-12)). Let b(t) = -7 - 5 + 36*t + 2*t**2 - 61*t + 51*t + 4. What is the remainder when b(r) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -247, -996, -2221, -3922, -6099?\n\"Answer: -238*h**2 - 35*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*r = -9, -119*s + 123*s - 5*r = -43. Suppose -3*v + 6 = -4*b, v - 5*b = -v + 11. Put s, 1, v in descending order.\nAnswer: 1, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**2*k))\/(k**(-8)*k))\/((k\/(k**(-8)\/k))\/(k*k\/k**(-1\/4))) assuming k is positive.\nAnswer: k**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*m - 58 = 0, 3*m + 73 - 20 = 2*h. Suppose 4 + h = 4*y. Let p(d) = -3*d + 0*d - d - y*d. Determine p(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*i + 107. What is the remainder when 64 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220221 (base 3) to base 16\nAnswer: -2a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 0, 3*j + 6*b + 264 = 8*b. Let d = j - -90. Suppose -4*s = 5*a - 768, -2*a + 3*s = d*s - 315. Calculate the remainder when a is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40794 divided by -523\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/((o\/o**(4\/5))\/o))\/o)\/(o**(-5)*o*o))**(7\/5) assuming o is positive.\nAnswer: o**(168\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 193 + -189. Let g = -0.05 + -0.25. Put i, g, 0 in increasing order.\nAnswer: g, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaby when four letters picked without replacement from yyybbyaab.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.1 + 20.9. Let o = -47.8 + k. What is o rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 2*r + r + (0*r - r + 3*r)*(1 + 1 + 0) + 0*r + 0*r + 2*r + 1 - r - 1 + r - r + r + 5*r + 0*r + 4*r.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(8\/(-6))\/(12\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1080 - 72*w**2 - 9302*w**3 - 8*w + 4652*w**3 + 4648*w**3 - 4711 wrt w.\nAnswer: -6*w**2 - 144*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + y - 2 + y - 4*y + 3*y - 4*y + (2 + 8 + 3)*(-2*y + 5*y - 2*y) to the form t + b*y and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1959842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(10*q - 2019 + 2019)*(9 + 17 - 8).\nAnswer: 540*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126 + -105. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.25536 to 2 decimal places.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*i - 2458 + 1232 + 1215 in the form o*i + l and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y, -2*o + 2*y - 22 = -64. Suppose 24*n = o*n + 24. What is the highest common factor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2426 + 2642. What is the highest common divisor of t and 504?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2363629284?\nAnswer: 2, 3, 65656369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2247 and 53170761?\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -24*p + 148. Let y be w(6). Solve y*s - s + 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 11*g**2 + g + 15. Suppose -5*d - 42 = 2*r + 5, 2*r - 3*d + 7 = 0. What are the prime factors of f(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 2*q - 74 + 77 - q. Let r be x(-1). Suppose -y + 2*y = 5*t + 64, -r*y - 3*t + 279 = 0. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 9:21 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*i + 78*i + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 2, -4, -2 in descending order.\nAnswer: 5, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/6)\/((-6)\/(-27)). Let s = 1 + d. Does 10 divide s - -6 - (-38)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1005213.7000075 + -1005209. Let z = 73.3 + -78. Let n = x + z. Round n to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 5*i - 22 = -5*a, 2*a = -3*i + 6 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 522025081 and 2333?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10\/3 - 5\/3*f**3 + 5*f + 0*f**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, y: 2, f: 3, l: 5}. What is prob of sequence eflf?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5748\/33530)\/(0 + 6\/28). Let f = 1719\/5 + -341. Factor -14\/5*c**3 - 4\/5 + b*c**2 + f*c.\nAnswer: -2*(c - 1)*(c + 1)*(7*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + p**2 + 1. Let j(k) = -60*k**3 + 45*k**2 + 45. Calculate -90*b(d) + 2*j(d).\nAnswer: -30*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 t when three letters picked without replacement from tlttttttlttt?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 17*g**2 + 7*g + 13. Does 17 divide a(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(((264\/15)\/(-4))\/(19544\/3490))?\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -13*m**2 + 33*m**2 - 17*m**2 - 4 - 3*m. Let o be a(-1). Factor -1\/4*r**3 - 1\/2*r**o + 1\/4*r**4 + 0 + 0*r.\nAnswer: r**2*(r - 2)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -43\/2 (b) -0.2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-182))\/(6\/(-4)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/4 - 211*n + 1. Let l(o) = 211*o**2. Give c(l(z)).\nAnswer: 133563*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen fifteenths of a hour?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 20912817.\nAnswer: 3\/6970939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -451, -1030, -1635, -2278, -2971, -3726?\n\"Answer: -2*z**3 - z**2 - 562*z + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.048200150912 - 0.4.\nAnswer: -0.351799849088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -266\/3 - -88. Which is the second smallest value? (a) 1 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1 (b) -8\/7 (c) 35041\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 217?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19699 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 77*h**3 + 4*h + 2. What is j(-1)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7073, -5490, -4 in increasing order.\nAnswer: -5490, -4, -3, 7073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12294 + 12305. What is the highest common factor of m and 231?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1808, 5, -37, -3 in descending order.\nAnswer: 5, -1, -3, -37, -1808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 - (-61 + 51) - 0?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -62*t + 57*t + 4, -2*t + p - 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}