diff --git "a/data/dm_maths/full_data/15_11255.jsonl" "b/data/dm_maths/full_data/15_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/15_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 20 = 4*q - 92. Suppose -u + q = -5*u. Is u at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5183, -20793, -46827, -83285, -130167, -187473?\nAnswer: -255203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsubbffwbbuf. What is prob of sequence ufs?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 + 114. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -78*j + 472. Let q be c(6). Let n be (-240)\/250*(-10)\/q. Determine i, given that 0*i + 0 + n*i**2 + 4\/5*i**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 2*r**2 - 3*r**2 + 2*r**4 + 2*r + (2*r + 0*r - 4*r)*(-r**3 - r**3 + 0*r**3).\nAnswer: 6*r**4 - 3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09367 times -2834?\nAnswer: 265.46078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1362 divided by -1318.\nAnswer: 681\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = 1384. Suppose -4*f + 9*f - 5*l = 1755, -f + 2*l = -t. Let g = 621 - f. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97736015 by -5.\nAnswer: -19547203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32231 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1123424?\nAnswer: 2, 35107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 + 16*h + 4. Let m(s) = -6*s**2 - 31*s - 7. What is 5*j(l) + 3*m(l)?\nAnswer: -3*l**2 - 13*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*g, -3*d - 16 = 4*g - 26. Solve 4*x = -2*y + 2, 2*x = d*y - 0*x - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -62 - (-1)\/((-2)\/(-4)). Let b(s) = 4*s + 49. Let y be b(-11). List the prime factors of 548\/y + (-4)\/(p\/(-9)).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + 0*w**2 + 3*w**2 + (3*w**2 + 3*w**2 - 5*w**2)*(6 - 3 - 1) + (-2 - 3*w + 2 + 2)*(-5*w - 5 + 5) to the form q*w + m*w**2 + p and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*g - 0*t + 5, 5*t + 23 = g. Let f be (-2)\/4*0\/g. Suppose -2*i = 5*c, 5*i + f*c = 3*c. What is i rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -34*m**2 - 2547*m - 4528. What is b(-73)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/((-6)\/(-1212)). Suppose g + 5*i = 6*g + 525, g = -3*i - m. Is -104 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 6) + -8 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*g - 140 - 380 = 0, -3*y + 277 = 4*g. What is the greatest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1144 and 1404.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 13*n**2 + 9*n - 12. What is the units digit of c(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y**(-4)\/y))\/y**(-1\/6))\/((y**(-3\/4)\/y*y)\/(y**(-2)*y)))**4 assuming y is positive.\nAnswer: y**(83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(-1 + (2*((sqrt(91) - (sqrt(91)*5 + sqrt(91))) + sqrt(91)))\/(sqrt(448) + sqrt(448) + (sqrt(448)*3 - sqrt(448)) + sqrt(7))*-2).\nAnswer: -7 + 16*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10023 + -2?\nAnswer: 10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111211 (base 4) in base 3?\nAnswer: 21111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 151.82 (b) -3\/5 (c) 1\/3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)*a**0)\/(a**(2\/15)*a**(-1))*((((a**(3\/4)\/a)\/a*a)\/a*a)\/a**(-2\/21))**(9\/7) assuming a is positive.\nAnswer: a**(2551\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2. Let x(t) = -t**2 - 54*t + 264. Let n(s) = 2*j(s) + x(s). Let n(k) = 0. What is k?\nAnswer: -22, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39733.83 weeks in hours?\nAnswer: 6675283.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - -28. Suppose 9*n + a = 100. Suppose -n*s + 80 = -53. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0*k - 3*k + 4*k - 1.\nAnswer: k - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.1 + 16. What is the second smallest value in -2, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1489 divide 78951247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4069205 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*l**2*n*v + 2*l**2*n + 250*l**2*v + 4*l*n*v + 5*l*n - 398*l - 2*n wrt l?\nAnswer: -16*n*v + 4*n + 500*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98035 to the power of 1\/2, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 100202011 (base 3) in base 7?\nAnswer: 26500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - q**2 + 2*q + 81. Let u be v(0). Let f = u - 74. Suppose 0 = y - f - 8. Solve -y = 5*l + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168134367 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eueyuyuuueeeu. Give prob of picking 1 u and 1 e.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 15*k - 31. Give l(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**4 - 42*z**3 + 38*z**2 + 12*z.\nAnswer: -2*z*(z - 1)*(z + 6)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msssmssssm. What is prob of picking 1 s and 3 m?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 327\/4*4\/10758. Let o = g + -7428835\/14344. Let q = 510 + o. What is the common denominator of q and -11\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79\/24 + -4. Let g = 1171\/24 - l. Let d = -32645\/36 + 3659\/4. Calculate the common denominator of g and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 8. Solve 2*f = m + 3, d = 3*f + 4*m + 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 14 - 5*n**3 + 1 - 1 + 2*n**3 + n**3 + 0*n**3 + 0*n**3 + (-n**2 - 3*n**2 + 5*n**2)*(-3*n + 0*n + n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6330 - 6330.2. Let v = -1.98 + -0.02. Let n = v - -4. Which is the nearest to t? (a) n (b) 5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-4 - (-5 - 1) - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1541*z - 858508 = 1537*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4506063 (base 7) in base 13?\nAnswer: 166539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -10*x**2 - 1. Give j(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1267497?\nAnswer: 3, 7, 11, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.2 + 4.2. Let h = -27 - o. What is the third biggest value in -5\/2, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o + 10*o - 6*o)*((5 - 3 - 1)*(3 - 3 - 2) + 4 + 3 - 6).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8827.2 and 96.\nAnswer: 847411.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/9 + (-112)\/(-18) + -2. Solve 5 = -w*x - 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/12 - 20\/(-3). Let g(m) = -m + 1. Let s be g(w). Let z be 6\/(1*s\/4). Which is the smallest value? (a) -1\/5 (b) 3\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -46*g**2\/5 - 14*g - 24\/5 = 0?\nAnswer: -1, -12\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express i - 3*i + i + (0 + 0 - 2)*(-i - 2 + 2) + 0*i + 2*i + 0*i - 2*i + 2 - 2 + (2*i + 1 - 1)*(-4 + 3 + 3) as u + a*i and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6360 - -6360. Let v = 25 + -24.95. Let k = -9 - -6. Put 0.3, v, k, w in decreasing order.\nAnswer: 0.3, v, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.4 + -2.3. Which is greater: r or -11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(11) + -4)*2*3 - (sqrt(1584) + 4 + (sqrt(1584) + -1 + sqrt(1584))**2 + 2).\nAnswer: -6367 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*z**3 - 277644485*d*z - 75062033*z**3 wrt z?\nAnswer: -6*d*z - 450372198*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/12180 and 55\/24?\nAnswer: 24360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 903*v**2 - 12859*v + 19506. Give d(917).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -80*x - 2377. Let q be a(-30). Solve -q*s = -25*s - 2*c + 4, 0 = 2*c + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -2073.\nAnswer: 16\/2073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 444 divided by -111\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 1\/18*r**5 + 0*r + 0 - 4*r**2 - 2\/9*r**3 + 1\/12*r**4. Factor s(l).\nAnswer: 2*(l + 1)*(5*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -10112?\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -37, -60, -87, -118, -153, -192?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141 - 123. What is the highest common divisor of 648 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 8, 0.07, 82, -3 in increasing order.\nAnswer: -3, 0.07, 0.9, 8, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l**3 - 2*l**2 + l - 34. Let m(r) = -10. What is -3*m(k) + p(k)?\nAnswer: 9*k**3 - 2*k**2 + k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + 1. Let k(z) = -12*z**2 - 6*z - 3. What is 3*c(q) + k(q)?\nAnswer: -18*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*g = 0, -w + 2*g = -3*g + 8. What is the second derivative of -11*k**5 - 2*k - 2*k - w*k wrt k?\nAnswer: -220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1094*y - 9 = -4*c - 1095*y, 0 = -c + 3*y + 12. Sort 5, c, 0, 12.5 in descending order.\nAnswer: 12.5, 5, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1855 + 1857. Let i(k) be the first derivative of 0*k**h + 1\/12*k**3 - k + 9. What is p in i(p) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2211936*t**2 - 1. Let v(p) = p. Determine v(w(z)).\nAnswer: -2211936*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = -u - 134. Let t = -165 - u. What is the highest common divisor of t and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 200 + -192. Solve j + f = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3323470 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/12600 and -107\/1960?\nAnswer: 88200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10393785659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -42.8724*0.4\nAnswer: -17.14896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 21*w = -20*w - 20, -2*w = 5*r - 25. What is the closest to -1 in r, -1, -126?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from doddzdeddze. Give prob of sequence zoe.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3 (b) -2\/13 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192580 divided by 20.\nAnswer: 9629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9564, -9474, -9384, -9294, -9204?\n\"Answer: 90*t - 9654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 95, 269, 585, 1085, 1811, 2805, 4109?\nAnswer: 5765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 417 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18486 is divided by 203?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/1708873609?\nAnswer: -1\/1708873609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -236, -248?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 301 + -265. Solve -12*w + 3*w = -s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88\/5 - 349\/20. Let g(c) be the second derivative of -1\/4*c**4 - 1\/30*c**6 + 1\/6*c**3 + 3*c + 0*c**2 + 0 + a*c**5. Let g(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/4 - 231*z\/2 + 228.\nAnswer: 3*(z - 152)*(z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1160073 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3037674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 514 - 515. What is the closest to p in -4, 86, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9)*z*z)\/(z**2*z*z)*(((z\/((z*((z\/((z\/z**(1\/3)*z)\/z))\/z)\/z)\/z*z*z))\/z)\/z)**(-34) assuming z is positive.\nAnswer: z**(388\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -23. Suppose 2*j + p = 4. What is the common denominator of -7\/10 and (j + 166\/(-4))\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, -2\/3, -3, 1\/3, -10 in decreasing order.\nAnswer: 1\/3, -2\/3, -3, -10, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000557178 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -86*j**3 - 12*j**2 + 1021*j - 12. Let p(l) = -83*l**3 - 14*l**2 + 1020*l - 14. Let h(x) = 6*p(x) - 7*u(x). Find the second derivative of h(n) wrt n.\nAnswer: 624*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 4*y**2 - 6*y**2)*(-53*y**2 - 8*y**2 + 21*y**2) + 0*y**4 + 6*y**4 - 3*y**4.\nAnswer: 83*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (5 + (1*(sqrt(153) - sqrt(153)*-1) - sqrt(153)))*-1)**2.\nAnswer: -1170 - 270*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 + 4 = 0. Let m = r - -8. Suppose m = 8*w - 2*w - 6. Calculate the highest common factor of w and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55348 divided by 758\nAnswer: 27674\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 14 - 22. Let u be (v\/(-3))\/((-22)\/72). Is u bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*a + 24, 0 = 3*i + 12*a - 10*a + 3. Sort -0.4, 5, 1.1, 0.2, i in ascending order.\nAnswer: i, -0.4, 0.2, 1.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 8*x**2 - 5*x + 1. Suppose -11 = 4*b + 33. Calculate the remainder when i(5) is divided by (-288)\/b + (-4)\/22.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752115 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + (2*sqrt(1694) - sqrt(1694)) + -2*(sqrt(350) + sqrt(14)))\/(sqrt(8)*-3 - sqrt(14)\/(sqrt(7)*-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 w, and 1 r when three letters picked without replacement from {r: 1, j: 1, d: 1, w: 1, e: 1, o: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 61 - 18 + 52*u + 95. Is i(6) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*s + 23. Let a = 0 - -1. Let v be 0\/1 + a - -9. Calculate the highest common divisor of s and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1001110101101010001101100?\nAnswer: -1001110101101010001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 40 + 20 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 559*d - 3363. Give z(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -212 or -213?\nAnswer: -213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 19*k - 292. Calculate the highest common factor of k and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 9*v**2 - 11*v - 8. What is the tens digit of f(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-782)\/(-108 + 142) + (3 + -5 - 15).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oddxjudodjuo. Give prob of sequence doj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -4*l**3\/3 - l**2\/2 - 32*l - 139. What is the first derivative of a(w) wrt w?\nAnswer: -8*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 1270 + 667 = 4*c - 638, 0 = -6*c - 13*m - 339 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1113730, 1113727, 1113724, 1113721?\nAnswer: 1113718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Suppose -5*t + 144 = -2*t. Let v = t - 3. Solve 5*b + 0*b + 5*q = v, x = b + 3*q - 19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/6 - 2\/4. Let z = 6 - b. Calculate the greatest common divisor of z and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.3 - -17.5. Sort 1\/2, -5, s, 1\/3.\nAnswer: -5, s, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q + 0*q)*(-26*q + 2 - 463*q**2 + 235*q**2 + 229*q**2).\nAnswer: 3*q**3 - 78*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 + 3*g**2 - 1 - 3 as b*g**2 + r + n*g and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 11, 19, 29, 41?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 11*v**2 - 1. Let k be p(-1). Suppose -c - k = 3*m, -m - 16 = -2*c + 2*m. Suppose 4*b - 12 = 0, 3*l + c*l - 50 = -5*b. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2125 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*s**3 + 33*s**3 + 24*s**3 + 19*s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 8 = -4*t, -3*n - 5*t - 13 = 1. Suppose -4*q = -3*q - n. Suppose -q = -2*y + 6. What is the least common multiple of y and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3185820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(81) - sqrt(81))\/sqrt(9))\/(sqrt(12)*-5).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1211?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 43. Let t = i + 47. Let p = t - 11. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8 - 4) + 0)*(56\/(-7))\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5370990.5 rounded to the nearest ten thousand?\nAnswer: 5370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**3 + 518*o**2 - 518*o**2 - 4*o.\nAnswer: -4*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxv when three letters picked without replacement from avuvvuuaxaaayu.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (2 - (2 - 1)) + -28 + (197 - 166).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.094027 + -0.0533\nAnswer: -0.147327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*p**2 - 175*p**2 + 523*p**2 + 1208 - 173*p**2 to s*p**2 + a + b*p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**6\/720 + 7*w**5\/60 - w**4\/12 - w. Let u(h) be the third derivative of i(h). Let k be u(10). Are k and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-4))\/(a\/a**(-3))*(a**(1\/3))**(-10) assuming a is positive.\nAnswer: a**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7283346 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e54a9 (base 15) to base 11.\nAnswer: -456a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 2}. Give prob of sequence kx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 17*b**2 - 31*b - 13. Let p be v(1). What is the second biggest value in -3, -21, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (212 - -7) + -2 + 0 + 1. Let c(d) = 2*d**2 + 16*d - 2. Let g be c(-13). Let a = v - g. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 - 2*r**4 + r**4)*(2*r - 3*r + 2*r) + 0*r**3 - r**3 + 5*r**5 + 2*r**3.\nAnswer: 2*r**5 + r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-240)\/56))\/(((-6)\/(-14))\/(840\/(-84))).\nAnswer: 98\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**4\/12 + 41*p**3\/18 + 7*p**2\/3 + 382*p. Suppose v(y) = 0. What is y?\nAnswer: -1\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 30 = -5*t, -5*p - 17*t = -151 + 41 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 2?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 262189687 to the power of 1\/2, to the nearest integer?\nAnswer: 16192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 70*y - 38*y + 3)*(-2 + 1 - 9).\nAnswer: -320*y - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298629.\nAnswer: 3, 33181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zujojzloljzjzlll. Give prob of picking 1 l and 1 o.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 16. Is 279\/6 + l\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15936605 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16832 - 406. What are the prime factors of n?\nAnswer: 2, 43, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 525 + -493.1. Let l = y + -32. Which is the smallest value? (a) -0.3 (b) l (c) -3\/31 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8264 - 1.6264. Put h, 0, 50 in descending order.\nAnswer: 50, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -28 + -10 - (1 - 63).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/252 and -109\/70.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlw when three letters picked without replacement from {w: 7, l: 1, o: 2, m: 2, n: 1, x: 6}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 3. Let t be 2*s\/(-4) - 1. Suppose -x - 4*x + 100 = t. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.181 - -6.481. Which is the fourth smallest value? (a) 4 (b) 1\/45 (c) -1\/6 (d) -3 (e) t\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*n - 18 = 157*n - 307*n. Let l be -1 - (-1 + 0)*-38. Is 37 a factor of n\/l - 1218\/(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19534 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42365233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {w: 3, q: 5, b: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1428*u - 2*u**3 + 1444*u + u**3 as y + g*u + w*u**2 + m*u**3 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*b + 369 - 963. Let v(f) = 2*f**3 + 3*f**2 - 13*f + 8. Let g(r) = 0*r**3 + 4 + 2*r**2 - 3*r + r**3 - 4*r. Let c(h) = b*g(h) - 6*v(h). Factor c(a).\nAnswer: -(a - 4)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (0 + -1) - -6. Suppose -i - c = 1. Let q = -1 + 0.9. Sort i, 0.4, q.\nAnswer: i, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/20 - h**4\/24 - h**3\/6 - 2*h**2. Calculate j(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 2*l**2 - 4*l - 1. Determine z(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1379 - 1392. What is the closest to t in -1, 1\/2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 669114?\nAnswer: 29441016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*f + 2*f**2 - 13 + 8 + 5.\nAnswer: 2*f**2 - 23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 9826563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -31. Does 33 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 8. Let g = h - -19. Suppose 3*x = -3*l - 2*l - g, 0 = -4*l + x - 7. Does -1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. Let i be (-2)\/(-5) + 30\/(-75). Solve i = -d - m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + sqrt(125) + -3 + sqrt(125) - sqrt(1800)\/sqrt(10))*-1)**2 - -6*(-5 + -1 + -1 + sqrt(605)).\nAnswer: 12*sqrt(5) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1243973963?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4, -3 = 3*r - 4*r + j. What is the highest common factor of r and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100220220220021202 - 1?\nAnswer: 100220220220021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j - 3*j + j)*(2*j**2 - 2*j + 2*j) - j**3 + 2*j**2 - 2*j**2)*(1 + 5*j - 1).\nAnswer: -25*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (29 - 16) - -27.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.004 and 4620.\nAnswer: -18.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.84 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 984*t**5\/5 + t**3 - 41*t + 829. What is the third derivative of g(s) wrt s?\nAnswer: 23616*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190980 and 390.\nAnswer: 2482740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 4.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5733 and 124605.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 19. Let u(h) = -h**3 - 10*h**2 + 13*h - 2. Let n be u(m). Let t = n - -94. What are the prime factors of t?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1627 - 320 = n - 3*k, 5*n = 2*k + 6522. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11274 divided by -5637?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4) + (-2)\/(-4). Suppose w - 24 = -w + 5*h, -w - 2*h + 12 = 0. Let d = w - v. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3601131 is divided by 153.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/15 - 1292*a**2\/15 + 80726*a\/15 + 35420 = 0 for a.\nAnswer: -6, 77, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from luluclllulluuflfukl?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10 + ((-1)\/2)\/((-102)\/3672). Let y = 1441 + -2519. What is the units digit of 12\/48 - y\/r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1320 and 55880?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*d + 14, -2*r + 0*r - 2*d + 14 = 0. Let k(h) be the second derivative of -h**5\/20 + 7*h**4\/12 - 5*h**3\/3 + 7*h**2\/2 - 32*h. What is k(r)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*z + 80272 = -22484, 0 = -2*j + 4*z + 51378. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/11*v**2 + 42\/11 + 34\/11*v - 2\/11*v**3.\nAnswer: -2*(v - 3)*(v + 1)*(v + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*o**4 + 20*o**4 + 28*o**4 + 2*o**4 + 2*o**3 - 2*o**3 + (-4*o**4 - o**4 + 3*o**4)*(-2 - 3 + 3).\nAnswer: 43*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 - 3) + (-313 - -345)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 + 5209*u**2\/2 + 2354427*u\/2 + 278888427\/2.\nAnswer: (u + 243)**2*(u + 4723)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 6:36 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106832179.\nAnswer: 7927, 13477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21 + 1 + -2 + 3. Calculate the greatest common factor of 69 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 279 - -23?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + 16*y + 16. Let z be p(-5). Which is smaller: z or -13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*q + 5*s - 6, s - 1 = 0. Let r(j) = 343*j - 14. What are the prime factors of r(q)?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 900 and 3600.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40297933*h + 40297938*h - 7*h**2 - 80595871*h.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from ggggqgggqggggq?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2300 and 118210.\nAnswer: 27188300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-8)\/(-12) - 31\/6). Let l be 6*t\/6*3\/(-9). What is the common denominator of (-31)\/l + 57\/(-76) and 29\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c4783 (base 14) in base 3?\nAnswer: 220001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22\/9 + -47\/18. Let z = -0.08 + 0.58. Let r = -0.5 + z. Which is the second smallest value? (a) r (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d7 + -2?\nAnswer: d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7068, -7066, -7064?\nAnswer: -7062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/4 (b) 0.07 (c) -1\/6 (d) 0.3 (e) 4 (f) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1703068 and 2361?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 - 9. Let c(t) = t**2 - 2. Let g(m) = 9*c(m) - 2*q(m). Let f(p) = 227 - 227 - 3*p. Determine g(f(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 177079 - 177079 + 0*p**2. Let o(h) = -346*h**2. What is o(n(u))?\nAnswer: -346*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 10:42 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -355 + 932. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2. Let d(o) = 17*o + 9. Let m(l) = -4*l - 2. Let n(r) = 2*d(r) + 9*m(r). What is n(v(y))?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 7142976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 4a0a6?\nAnswer: 4a0a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -2 + 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494735 divided by 498245?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2334, -4655, -6978, -9303, -11630, -13959?\n\"Answer: -a**2 - 2318*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -262*f*k**2 - 435*f*k + 15*k**2 - k - 819 wrt f?\nAnswer: -262*k**2 - 435*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - g**2 + g - 8. Is f(-4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.9, -2, -0.3, -1\/5, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*117\/624*(-44)\/(-231)*2\/(-8).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-10\/13)*z*z))**(4\/19)\/((z*z**2)\/(z*z*(z*z**(-2\/7)*z)\/z)) assuming z is positive.\nAnswer: z**(-942\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v - 47. Let g(t) = 3*t - 23. Let z(o) = 9*g(o) - 4*m(o). Let f be z(10). Let l = 168 + -124. What is the highest common divisor of l and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2.2 (b) -1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 - 125\/(-10))*20\/15. Solve -5*h = d*g - 0 - 20, 0 = -3*h + 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.43514 rounded to zero dps?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7\/9, 3\/3884, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjvjpsu. What is prob of sequence vusp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 2. Let k be z(-6). Suppose 3*u + 4*v - 178 = 0, v + 3*v + 284 = k*u. Let d = u - 39. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8322 and 24.\nAnswer: 33288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*n + 484*n + 41760 = -215*n - 1041*n for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -115*o**3 - 17*o**2 + 31*o + 1774. Let k(a) = 38*a**3 + 6*a**2 - 11*a - 591. Let s(v) = 17*k(v) + 6*x(v). What is the first derivative of s(p) wrt p?\nAnswer: -132*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/((-170)\/(-40)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -56.\nAnswer: -13\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-14\/5))*s)\/(s\/(s*s**(-16)))*(s\/s**(-4\/11))\/s**6 assuming s is positive.\nAnswer: s**(-1234\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 48, -3, 1, 3 in ascending order.\nAnswer: -6, -3, 1, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37227542201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*d = -0*d + 23, 4*m - 28 = -4*d. Let s be 10\/15*21\/m. What is s rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/9, 0.3, 17 in decreasing order.\nAnswer: 17, 1, 0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6*(-72)\/1620).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*x - 13, 5*x = -j + 2*x. Let m be 7 + 2\/(1 - (-5)\/j). What is the tens digit of -12*m*2\/(-6) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136\/3 - 19\/57?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*h + 31, -4 + 1 = h. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*r - 3*r + r)*(-8 - 13 + 5) + 0*r + 5*r + 0*r)*(-2*r**2 - 3 + 3) to the form z*r + h*r**2 + d*r**3 + t and give d.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3930\/(-8515))\/((-4)\/(-234))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + a**2 - a + 63. Let z be s(0). Let n(v) = v + 13. Let y be n(-6). Calculate the highest common factor of y and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 6*t + 32. Let h be g(0). Suppose 27*q + 580 = h*q. Calculate the remainder when q is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56373571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -8. Let m = h - 10. Suppose 12 = v + 5*i, v = m*v - 5*i - 98. What is the remainder when 63 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 388811115 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151537747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50944053 and 11271.\nAnswer: 662272689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -349 + 2455\/7. Calculate the common denominator of w and -6\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {w: 3, i: 1, f: 3, g: 1, m: 2, b: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - -1. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -886 + 48732\/55. Let k = 4\/11 + a. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29.2 + 33. Let v = d + 0.2. What is the closest to 1\/3 in -0.1, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -459 (b) 5 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22733, -22658, -22535, -22364, -22145, -21878?\nAnswer: -21563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**2 - a + 4. Let u(t) = t**3 - 7*t**2 + 6*t - 6. Let g be u(6). Let j(n) be the first derivative of -n**3\/3 + n + 94. Give g*j(f) + o(f).\nAnswer: f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 94\/6 + 2\/(-3). Let x(g) = -27*g**2 + 1. Let n be x(1). Let t = -16 - n. Calculate the greatest common factor of t and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/((-4)\/(-36)*-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 11 + 9 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2231330\/61227 + -6\/6803. Let f = w - -3739\/90. Find the common denominator of -143\/18 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 557*d**3\/3 + 4*d**2 - 4*d - 2. Let x be z(-6). Round x to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -800.800156501?\nAnswer: 800.700156501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**8\/336 - m**7\/35 - 11*m**6\/120 - m**5\/30 + m**4\/2 + 4*m**3\/3 + 87*m**2 - 6. Solve r(i) = 0 for i.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 30*d**3 - 14 + 35 - 20. Let o be t(-1). Let n = 44 - o. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5060904 <= -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 18, -3, 2, -571 in ascending order.\nAnswer: -571, -5, -4, -3, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1511 is divided by 636.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 532155975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -76*h**3 + 3*h**2 - 7*h + 12. Let f(z) = 147*z**3 - 6*z**2 + 13*z - 22. Determine 7*f(s) + 13*p(s).\nAnswer: 41*s**3 - 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 - 77.999635. Round c to five dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**5\/60 - 5*u**4\/24 + u**3\/3 + u**2. Let x(y) = y**3 - 12*y**2 - y + 15. Let a = 65 - 53. Let q be x(a). Give w(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*q - 9 = 6*q, -4 = 4*q. Suppose -30 = -b + 3*g, -5*g + 106 = s*b + 16. What is the common denominator of 44\/7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.99938 - 5. What is w rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n**4 + 2*n**4 + 2*n**4)*(-2 + 5 - 2).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28 + -0.27999774. Round l to 7 dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a - 307 + 307 - 565*a**3 + 561*a**3.\nAnswer: -4*a**3 + 21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39296\/11 - 3572. What is the third biggest value in r, 0.05, 5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2310 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 777 and 21?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2 + 5495658*q + 2516854737747 = 0.\nAnswer: -915943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 5*m - 57, -27 = 526*q - 1104*q + 581*q - 4*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 192 + 243 = 4*y, 4*h = 4. List the prime factors of y.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 + (2 - (-8 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/117, 0, -1 in increasing order.\nAnswer: -1, 0, 2\/117, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8749.3 + -1.94721095?\nAnswer: -8751.24721095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -527 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 135*v**2 - 965*v + 825.\nAnswer: 5*(v - 5)*(v - 1)*(v + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 97*k - 4*k + 1023, -k - 2*z = -4*z + 11 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 366086 and 4965.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8516533 or -110714947\/13?\nAnswer: -110714947\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4728203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 612 + -572. What is the least common multiple of c and 536?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 13\/15, -4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26787 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1079\/42 + 197\/6. Let j = -28747\/1182 - 5\/394. What is the common denominator of a and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611 (base 11) to base 8.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/((m**6\/m*m)\/m)*m*m)*m*m*m*m**(2\/23))\/(m\/m**(-10)*m*m**(-4\/7)\/m))**39)**(-2\/23) assuming m is positive.\nAnswer: m**(54522\/3703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1250*z - 320 + 2484*z + 3519*z**2 - 1225*z wrt z?\nAnswer: 7038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -10 - (-492)\/(-190) - 8730\/7275.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 284869?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 0)*6\/20.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3))\/((-8)\/(-40))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, h: 3}. Give prob of picking 3 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130\/3 + -43. Let l = 2.856 - 2.556. Which is the second smallest value? (a) 3\/7 (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/958 and -23\/7185?\nAnswer: 14370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 1, h: 1, k: 11}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -134, -262, -402, -560, -742, -954?\nAnswer: -1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011111110001001 + 10000?\nAnswer: 11011111110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -355 - -625. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**3 - 12*b**2 + 8*b + 2. What is i(4)?\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114790528?\nAnswer: 2, 17, 71, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2157602282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341 (base 10) to base 6.\nAnswer: -1325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-4*1*12\/24.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -88348987, -176697971, -265046955, -353395939?\n\"Answer: -88348984*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8472600 divided by -156900\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3*w - w + 0 - 22*w**3 + 2 in the form v*w**2 + y*w**3 + c*w + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-19778)\/(-1) + (-5)\/(9 - 4) + 3.\nAnswer: 2, 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -664 - 2160 = -3*u - 5*a, 4*a - 953 = -u. List the prime factors of u.\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 226369, 226489, 226609, 226729, 226849, 226969?\n\"Answer: 120*a + 226249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (0 + sqrt(76)))**2 + sqrt(57)\/sqrt(3)*4 + 2 + (sqrt(171))**2 + -2*(sqrt(19) - sqrt(19)*-1).\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0 = -6. Does 22 divide -3*(1424\/y)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.188 + 60.188. Sort z, 3, -2, 2 in descending order.\nAnswer: z, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -3\/4 (c) 8\/7 (d) -2623 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-63) + 1406\/(-133)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from qscscqsccqqcc?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:40 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slsvlssvsss. What is prob of picking 2 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 2*w + 1. Let h be f(4). Let l be ((-15 + 24)\/(-27))\/(2 + 22\/(-12)). Sort 2, l, h in descending order.\nAnswer: 2, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21082*l + 20950*l - 2508 = 0 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 5. Let j be r(-8). Let z = -211 + 341. What is the greatest common factor of j and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 7:09 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533366 is divided by 527732.\nAnswer: 5634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 2)*(-201 - 358 + 181)*(-1 - 2*k + 1) to the form d + i*k and give i.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478 = 4*c + 30. Let d = -107 + c. Solve 0*y - d*h = -3*y + 11, y = 3*h + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -368 + 367. Let k = -0.166 + 75.166. Let l = 71 - k. Which is the second smallest value? (a) l (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 11*c + 941. Let r be s(-83). What is the greatest common divisor of r and 560?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 56.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*p - 5*t + 23 = 0, -4*t + 31 = 5*p. Let u(h) = h**3 - 3*h**2 - 2*h + 1. Let f be u(p). Which is smaller: -6 or f?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2926 = -9*f - 190. Let b = -546 + f. Round b to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 277 - 165. Let d(z) = 3*z - 1. Let p be d(5). What is the highest common divisor of p and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*z**2 + 169*z**2 + 197*z**2.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -687517\/644505 + 3\/42967. Let w be 0*(1 + (-4)\/2). Is l <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 4*u + 4*u)*((1 + 4 - 3)*(-2 + 0 + 4) + 3 - 2 + 13).\nAnswer: 108*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 177921501 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14287*t**2*w + 232*t*w**2 - 79028*w**2 - 49 wrt t.\nAnswer: 28574*t*w + 232*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + 30 + 8 + -59.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493716.\nAnswer: 2, 3, 41143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1663 is divided by 319.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 7*q - 8. Let f be w(-8). Suppose 4*z - 6 = -b, -5*b + z + 0 + 93 = f. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixxikxxjiii. What is prob of sequence iix?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -15, -1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*g**5 + 29*g**5 + 7*g**5 + 0*g**5 - 4*g**5 + 2*g**5 + (-29*g**2 - 153*g + 153*g)*(0*g**3 - 3*g**3 + g**3).\nAnswer: 72*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2246 is divided by 180.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/7)\/(t*t**(-1\/19))*t\/t**(-2)*t*t**0 assuming t is positive.\nAnswer: t**(463\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 - -7.5. Let o be 1\/17*(-2 - -3). Let g = o + -37\/51. Put g, 2\/67, j in decreasing order.\nAnswer: j, 2\/67, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6171 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11223, 11218, 11209, 11196, 11179, 11158?\nAnswer: 11133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289133861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365162731.\nAnswer: 37, 9869263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-12) + 99\/396.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 7 - -5) + 1 + 5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37 - -6?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33840 and 152280?\nAnswer: 304560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-15))\/2*15\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 11:37 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6777 and 9.\nAnswer: 6777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, u: 1, f: 1, r: 2, e: 2}. Give prob of sequence teuf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*z - 36 = z, -76 = -5*b - z. Suppose 882*s - 217*s - 9744 = 10871. Calculate the remainder when s is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = h + 147, -g + 0*h = -4*h - 38. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/512187 and -23\/571?\nAnswer: 512187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11*(-190)\/418)\/2*((-704)\/(-5))\/(-4)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 6*m**2 - 2. Let f = 12 - 4. Let z = f - 14. Calculate y(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/30 + z**4\/8 + 9*z**3 - 68*z**2. Let x(y) be the first derivative of i(y). Determine x(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(40))\/(sqrt(2) + sqrt(200)*1) + ((sqrt(80) + 0 + sqrt(80))*-3 + sqrt(80))*-2)**2.\nAnswer: 959220\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(80)\/sqrt(4)*-5 - 3*sqrt(2420))\/(-4*sqrt(90) - ((sqrt(10) - (sqrt(90) + -4*sqrt(90))\/sqrt(9)) + sqrt(10))).\nAnswer: 27*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/3*(-209 - -212)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317986.091 rounded to the nearest one thousand?\nAnswer: 318000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dct when three letters picked without replacement from dadccczsacdssctccssd.\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 7*n**2 - 8*n + 2. Let j be x(8). Suppose -210 = j*w - 7*w. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (316\/(-316))\/(2\/(-16))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-2)\/(-12)*21). Which is the nearest to 1\/3? (a) m (b) -3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6810?\nAnswer: 2, 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 5:02 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 11. Let q(r) = -8*r**2 - 6*r. Let f be q(l). Let h = -3883\/12 - f. Find the common denominator of 149\/18 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2109\/5 + -1762\/5. Let c = -69 + i. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/5*(-1495)\/1794?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -3 (c) 13\/150 (d) -1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36553536 and 4569192?\nAnswer: 36553536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148296 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -365, -369, -373, -377?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 10:53 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13100 (base 4) in base 7?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**3 - 90*u**2 + 609*u - 882 = 0?\nAnswer: 2, 7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 = -2*a, -11*y + 8*y = -a - 10. Suppose 8\/9*t**y - 4*t - 20\/9 = 0. Calculate t.\nAnswer: -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1609389?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (181258\/(-7062))\/((-7)\/2).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165482 or -167124?\nAnswer: -167124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/7*-1 - -4. Is -1 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -r + 28 + 5, -9*r - 3*d = -5*r - 42 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = 2*s, 5*p - 6 + 61 = 10*s. Solve -2*y - 2*m = 4, -4*y - s*m + 34 = -12*m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*a**4*p*q**2 + 926*a**2*p*q**2 + a*p + 2*a*q**2 + 303*p*q**2 + 10*q**2 wrt a.\nAnswer: 564*a**2*p*q**2 + 1852*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttuut?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**4\/12 + 17*v**3\/6 - 15*v**2\/2 - 58*v. Calculate k(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k + 109\/2*k**2 - 1\/4*k**4 - 41 + 14\/3*k**3. What is the first derivative of q(u) wrt u?\nAnswer: -6*u + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 11) + (-9 - -2) + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000942169 to 7 dps.\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 + -a?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 420436*j + 2942954.\nAnswer: 2*(j + 7)*(j + 210211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/17 (b) 0.102 (c) 1 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 1 - 5*a + 0*a. Suppose 0 = u - 2*u - 2. Give w(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 3*s + 0*s + 1 - s**2 - s**3. Let b(m) = -3*m**4 + 3*m**3 + 4*m**2 - 3. Let g(y) = -b(y) - 3*j(y). What is the third derivative of g(h) wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1759136684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 14*y + 1. Let h be s(7). Let u be 1 + h\/(-3)*-3. Is -2*(-1 + u) + 161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0 + 0)*((y + 3*y - 2*y)*(45 + 2 + 7) + 1 + 5*y - 1).\nAnswer: -113*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -98 divided by -9\nAnswer: 98\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -308235.\nAnswer: -308237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 31.7. Which is the closest to -3? (a) l (b) -0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 = -5*n + 247, 0 = -21*x + n + 96 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -22*b + 244. Give c(0).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*l - 22, -5*l + 30 = -0*m + 5*m. Suppose -n + 5*c - 2 + 25 = 0, -5*c = 5*n - 145. Calculate the highest common divisor of m and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1520)\/60 + 26 + 0. Let u = -0.18 - 8.82. Let r = u + 9.4. Which is the biggest value? (a) h (b) -2 (c) 4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 1, -0.1, -0.3, -2\/21779?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/7)\/m**(-3)*(m*m**(2\/3))**(-47) assuming m is positive.\nAnswer: m**(-1585\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3244364 a multiple of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25895.427 months in decades?\nAnswer: 215.795225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 16599.14t?\nAnswer: 16599140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1572*l + 265*l - 34170 = -441*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01382 and 1.87.\nAnswer: 0.0258434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1397032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jffwjjfasjasqas. What is prob of sequence aj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 31*d - 26. Let k be i(1). Suppose k*m = 7*z - 6*z + 329, 0 = 2*z + 8. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x - 9 = 0. Let u(p) = p**2 + 0 + 1 - p - p**x + 1 + 1. Let q be u(-3). Calculate the highest common divisor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165 at least 237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 11\/3, 92\/2165 in decreasing order.\nAnswer: 11\/3, 0.2, 92\/2165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a day in hours?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**7\/2100 - l**6\/300 + l**4\/15 - l**3\/2 - 3*l**2. Let i(z) be the first derivative of a(z). Let i(q) = 0. What is q?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffflflfff. Give prob of sequence lfll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 + -89. Solve -42*a - 5*a**2 - 16*a - 21 + k*a + 81 = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**4\/18 - p**3\/3 + 2*p**2\/3 + 4*p - 1. Let d(x) be the first derivative of l(x). Factor d(a).\nAnswer: 2*(a - 2)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -65. Let p be (4\/3)\/(84\/f). Which is the third smallest value? (a) p (b) 1 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21, 3, 0.4, -1, 138?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - o - 16 = 2*o, 2*o - 16 = -4*v. What is the least common multiple of 9 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1484850 to the nearest one thousand.\nAnswer: -1485000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*w - 30 = -15*c - 259*w, 2*c + w = 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13480350?\nAnswer: 2, 3, 5, 13, 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -526445, -526446, -526447, -526448, -526449?\n\"Answer: -h - 526444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*u - 12. Let c be (u\/8)\/((-4)\/3664). Suppose c = 3*f + 150. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 90\/60*(-752)\/(-6). Is d greater than 189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1463, 2924, 4385?\nAnswer: 5846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 9:37 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*p + 8758238 = 28795097 + 12433276. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9075 divided by -363.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -10*z + 161. Is j(-43) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -249*u**4 + 444.\nAnswer: -996*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/112 and 23\/1616.\nAnswer: 11312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by -4\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -72 and -2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 55742 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**2 - 45*a + 4. Let r(d) = 3*d**2 + 32*d - 3. Let b(j) = 7*r(j) + 5*x(j). Let q(u) = 4*u**2 - 2*u - 10. Give 3*b(m) - q(m).\nAnswer: -m**2 - m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3*(-154)\/35. Let y = j - -1069\/60. Let d = -7021\/2952 + 32\/369. What is the common denominator of d and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -1358.\nAnswer: 27\/1358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -29*c**2 + 14*c. Determine k(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a6b (base 13) to base 12.\nAnswer: -1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -30 (b) 1 (c) 45 (d) -2 (e) -106 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bksn when four letters picked without replacement from {w: 1, n: 1, s: 1, b: 2, k: 1, f: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -k + 5*h, 3*h - 6 = -k - 25. Suppose -283 + 247 = -3*w. Let j be w\/8 - 1\/2. Put j, k, 0, -3 in increasing order.\nAnswer: k, -3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9415863083.3+0\nAnswer: -9415863083.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -24*z + 24*z + 13999*z**2 + 7 - 3. Let s be g(-2). What is s rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0255177 and -0.327?\nAnswer: 0.0083442879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**4\/3 + l**3\/3 + 3*l. Let h be q(-1). Suppose -4*d + 231 = c, h*d - 4*c = -2 + 140. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76852 - 2021998?\nAnswer: -2098850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, f: 3, o: 5, n: 2}. Give prob of sequence nz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4110)\/(-134260)*(-14)\/4.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*q + 18*q + 32*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/6 - 1\/(-6). Suppose b + 4*l = 3, 2*l + l = -3*b + 9. Suppose 5*k = 2 + b. Is x at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Let c(j) = -5*j**2 + 2*j + 2. Let o(n) = -n**2 + 3*n + 89 - 86 - 5*n**2. Determine w*c(h) - 3*o(h).\nAnswer: -2*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 333 and 2814.\nAnswer: 312354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjoo. What is prob of sequence joj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*w - 168 = 0, -190 = 5*s + 4*w - 3*w. Let l = 7 - s. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (10 - 9) - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 14*x - 807 + 674 = 0, 2*x + 4 = 0 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 13*f + 376. Let w(o) = 57*o + 1505. Determine -9*h(y) + 2*w(y).\nAnswer: -3*y - 374","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 35 = -2*j, -4*j - 32 = 5*z + 73 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 1.6. Let n = -584 + 325. Let o = 263 + n. Which is the nearest to 2.7? (a) 0 (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w + 52 = -5*n, -5*n = 2*w + 16. Is -103\/6 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + s + 46 = -6*a, s = 2*s + 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**5\/2 + 20255*j**4\/2 + 20482805*j**3\/2 - 61752515*j**2\/2 - 61549855*j + 82174580 = 0. Calculate j.\nAnswer: -2027, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 20444790*k**2 + 20899410572700*k - 125397199449720.\nAnswer: 5*(k - 6)*(k + 2044482)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -68842.\nAnswer: 550736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 14190.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4784480 and 11764?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Which is the closest to 1\/6? (a) 0.3 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**2 + 7*q + 1. Let i(u) = 6*u**2 + 6*u + 1. Let n(h) = -4*g(h) + 5*i(h). Let b be n(-2). Let p = -14 + b. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 765 = 1923. Suppose 8*v = -13*v + o. Calculate the greatest common divisor of 96 and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12405, 12412, 12423, 12438, 12457, 12480?\n\"Answer: 2*u**2 + u + 12402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -11*w**2 - 153*w + 443. Calculate q(-19).\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*h**2 + 95*h**2 + 8*h**2 + 163*h**2 to q + o*h + m*h**2 and give m.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -1.43651812.\nAnswer: -0.93651812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30149781 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3642*j + 517175. Determine n(-142).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17676 divided by 2.\nAnswer: 8838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 62*q + 175. Let h(o) = 34*o + 97. Let i(b) = -29*h(b) + 16*z(b). What is i(9)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.58 (b) -10710 (c) 45 (d) -1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 4*a + a**2 - 2*a**3 - a**3 + 32 + 0*a**2 in the form z*a**2 + u + d*a**3 + g*a and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-6) - 60\/24*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10535, -10661, -10869, -11159?\n\"Answer: -41*c**2 - 3*c - 10491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 h when three letters picked without replacement from hhhhhhhhhjjhjh?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 893*g - 236*g + 2845*g - 271*g in the form i*g + c and give i.\nAnswer: 3231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 50*m**2 + 2480*m + 4769. What is z(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -208973 by -6.\nAnswer: 208973\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 18*i - 53. Let y = -187 - -191. What is the remainder when 68 is divided by l(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*w + 188, b = -46*w + 50*w + 34. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 490026?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**6\/120 - j**5\/10 - j**4\/6 - 7*j**3\/3 + 57*j**2. Let y = 61 + -23. Calculate the remainder when y is divided by b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g - 55. Let w be x(-11). Suppose 0 = -3*i + 7*t - 3*t + 2285, 2*i + 2*t - 1514 = w. Is i a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37264, 33, -35 in descending order.\nAnswer: 33, -35, -37264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = 5*o + 317. Let j(r) = -47*r - 57. Let x be j(5). Let h = o - x. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - n + 281 = 0, -4*p - 3*n = -7*n - 256. Calculate the greatest common factor of 1104 and p.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 + 0*g**4 - 2*g**4 - 3*g**4 + 7*g**4 - 2*g**4 + (-3 - 2 + 3)*(-g**4 - 4*g + 4*g) - 4*g**4 + 0*g**4 + 2*g**4 - g**2 + 8*g**4 + g**2 + g**3.\nAnswer: 11*g**4 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 18 = 3*q + y, -18 = 2*q - 3*y. Let v = 0 - q. Suppose -5 - v = -2*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*o + 103*o - 284 - 522 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -312133*p**4 + 670483*p - 1 wrt p?\nAnswer: -3745596*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - 1280\/(-60))\/(6\/(-5))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 25 + 25 = 5*m, w = -4*m + 31. Which is the third biggest value? (a) m (b) 3\/2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9ac (base 16) to base 14.\nAnswer: -c8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -238 - -244. What is the second biggest value in c, -11, 5, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -8*j - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t = -7*t. Suppose -x - 5 = 4*u, x - 5*u - 1 - 12 = t. Find the common denominator of -91\/2 and ((-2499)\/(-768) - x)\/(3\/12).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Let z = 0 - y. Let t = 0.1 + 0. Which is the nearest to -1? (a) -2\/7 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3305924205 to the nearest integer?\nAnswer: 57497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -734*c**2 + 41*c - 41*c.\nAnswer: -734*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (2 + 171)*-5. Let q = -454 + s. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 250.4144 + -274.43. Let a = -33 - -9. Let x = f - a. Round x to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1044503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5493 divided by 294\nAnswer: -1831\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.806 and -2.3.\nAnswer: 1.8538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2134 - 48*b + 7*b**2 - 1987 + 0*b**2. Let n(q) = 64*q**2 - 432*q + 1324. Let y(m) = 28*f(m) - 3*n(m). Factor y(k).\nAnswer: 4*(k - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 211981 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -0.2, 0.1295, -2?\nAnswer: 0.1295","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*o - 28 + 1, 2*o - 38 = 4*n. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:45 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8085 divided by -3.\nAnswer: 2695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 4) + (-381)\/45900*142. Let a = -1\/450 - u. Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**3 - 115*i**2 + 32*i - 737. Give w(23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187432.\nAnswer: 2, 7, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + 8\/(-16)*-18. Let a(p) = p**3 - 3*p**2 + p. Determine a(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)*s)**(15\/4))**(-13)*(((s*s\/(s**(2\/3)*s*s)*s)\/s)\/s)**22\/((s\/(s*s\/s**(2\/7)))\/s**3) assuming s is positive.\nAnswer: s**(-692\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 0*r**2 - r**3 + 2*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1244)\/(-6) + 6\/(-18). Let f(m) = -3*m - 1. Let w be f(-1). Suppose 4*b + i = n, -2*n = w*n + 5*b - 723. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*u**2 - 7738*u - 1936.\nAnswer: 2*(3*u - 968)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*sqrt(3600) + sqrt(3600) + sqrt(3600))\/(sqrt(12) + 2*sqrt(1452)) - (1*sqrt(300) + 1 - (sqrt(300) - (sqrt(300) + -3 + -1*sqrt(300))))**2)*-2*5.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17750716?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-15))\/((-2)\/10). Let v = 0 + -0.01. Let n = v + 0.31. Which is the closest to -0.1? (a) 3 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w = -28*w + 42. Is -64\/9 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 28 = 4*l + 200, h + 3*l = 89. Calculate the highest common factor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12*s**2 + 2*s - 76. Let v(j) = j**2 + j - 12. Let y(o) = -d(o) + 6*v(o). Let l(n) = -5*n**2 + 4*n + 3. What is 3*l(u) - 2*y(u)?\nAnswer: -3*u**2 + 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1656177100 to the nearest integer?\nAnswer: 40696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 9, -20 = 4*i + 845*x - 841*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -158*g**2 - 124*g**2 + 219*g**2 + (g + 3 - 2 - 2)*(2*g - g - 7*g) + (g - 4*g + 0*g)*(-g - 3*g + 2*g).\nAnswer: -63*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5065*a**5 - 1558*a**2?\nAnswer: 303900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6684 + 6682. Sort 2\/7, -3, r, 3, -1.\nAnswer: -3, r, -1, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324036*t**2 + 3*t - 15*t + 12*t.\nAnswer: 324036*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3) + (-233)\/132. Let l = u - -24\/11. Let w be (-543)\/135 + 4 + (-2)\/(-9). What is the closest to 0 in l, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3030 and 250480?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 5010971?\nAnswer: -25054855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/(-24))\/((-1)\/(-4)). Let u be (-2)\/(-10) + (-104)\/f. Solve 5*h = -t + 37 - 11, -5*h = -4*t - u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*g + 3*g - 33 = 0, -5*r = -g - 25. Solve 0 = 2*v - 5*z + 28, 5*v + 4*z + r = 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-2*t**2 - 2*t**2 + 3*t**2) + t**2 + 4*t**2 - 3*t**2 + 0 - t**2 + 0 + 3*t**2 - 12*t**2 + 14*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 82. Let v = p + 36. Let x = v - 24. Which is the second smallest value? (a) 1\/6 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 21*y**2 + 21*y + 1. Determine l(22).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/8 of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -32*t**2 + t + 4. Let b be i(-1). Let u = -16 - b. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqo when three letters picked without replacement from oooooooqoooooqqqoqq.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22936*0.5.\nAnswer: 0.11468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w. Let j(r) = 6*r. Calculate j(g(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/11 (b) 0.3 (c) 1\/5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7083 - 4041. Let z = h - 24369\/8. Find the common denominator of z and -25\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-25) + 532\/(-20) + -3. Sort 1, -2, f in descending order.\nAnswer: 1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 11:22 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 31\/5 of a microsecond?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -10*w + 1. Let b(l) = -l**3 - 6*l**2 + 5*l - 8. Let i be b(-7). Let v be 0 - i - (-13 + 8). Determine c(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 4*o - 6. Let j be g(6). What is the highest common divisor of j and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 9. Let z = -11 + w. Suppose -z*j = -10*j + 795. What is j rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2224143?\nAnswer: 3, 421, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4747, 5, -1, 3685 in descending order.\nAnswer: 4747, 3685, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 + -62. Let p = h - -106. What is the closest to -1 in p, -9, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zus when three letters picked without replacement from {s: 2, u: 2, z: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21000 (base 3) to base 13\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, s: 2, v: 8}. What is prob of sequence vs?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/12)\/(2\/(-6)). Suppose 0 = -g - u - 0. Let m be 16000*g\/(2\/325). What is m rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b82a - -3?\nAnswer: 5b82d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 3)\/(4\/56)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 10. Suppose -s*c + 66 + 9 = 0. Suppose -3*i = -3 - c. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -2, -14 in descending order.\nAnswer: 0, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*(-1 + 6\/9). Factor -y*r + 2*r + 16*r**3 - 15*r**3 + r**2 - 1 + 0.\nAnswer: (r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven fifths of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 - 2.96. Let q = 6 + n. Let o = 0 - 3. What is the closest to 2 in q, o, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89183 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s + 8 = 0. Let l = -52 - -55. Which is bigger: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - s = -6*s + 10, -5*s = -4*h - 10. Suppose 5*m + 0*b = 2*b + 105, -3*m + 4*b + 63 = h. Let p be (57\/m + -1)*7\/56. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1414 - -387. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-11134)\/(-76))\/(3\/6) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 6*z**2 - z + 5. Let j be (-64)\/10 - 8\/(-20). Let n be t(j). Let m = n + 17. Calculate the lowest common multiple of m and 22.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 270, 664, 1054, 1440, 1822, 2200, 2574?\n\"Answer: -2*j**2 + 400*j - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 0.09799.\nAnswer: 1.07789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h - 141 - 59 = 10*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 133.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 27, 3.58?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 67*g. Let p(z) = -100*z. Determine -8*h(t) - 5*p(t).\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(0 - w + 0) + (-1 + 2 + 0)*(2 - w - 2) + 2 - 2 + 3*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/3 (b) -0.01 (c) 35\/3 (d) 0.3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449 - 1486 - 53 = 71*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 11*r + 7. Let l(c) = 5*c + 3. Suppose 0 = 3*k - 4 - 14. Let g(a) = k*s(a) - 13*l(a). Give g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28439280 is divided by 2889?\nAnswer: 2853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (4 + -5 - 4). Suppose -1 = -0*s + s. Let w be n\/s + (-6)\/3. Solve 0 = 5*f + 3 + w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 832306, 1664610, 2496914, 3329218, 4161522, 4993826?\n\"Answer: 832304*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1410)\/(-5358)*(-6)\/(-10).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*x - 2, -3*q + 8*q = -2*x + 8. Let g = q + 1. Suppose h - 1639990 = z + z, -g*z = -4*h + 6559985. Round h to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 43*s + 86 = 50*s, -2*s + 34 = 3*w. Put w, 2143, 1 in increasing order.\nAnswer: 1, w, 2143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-132)\/(-198))\/((-4)\/(-18)). Sort t, 19, -4, -2.\nAnswer: -4, -2, t, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*m + 928 = -14*m - 279*m - 109*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Divide 280 by 10.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.2, 0.4, 0.12, -2.\nAnswer: -2, 0.12, 0.2, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13034 and 19285?\nAnswer: 1889930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-188 - -149) + (-3 - -30).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68355 divided by 1395?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + -1. Let b = 0 - h. Suppose -17 + 67 = 5*q. What is the greatest common factor of b and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (1 - -2) + -18 + 5 + -4.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**8\/560 + x**7\/140 + x**6\/120 - x**5\/20 - x**3\/3 - 3*x**2. Let w(r) be the first derivative of b(r). Solve w(l) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 90bb - -96?\nAnswer: 9151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 - 5*h - 3. Let i(y) = -3*y - 5*y**2 - y - 3 - 2*y**3 + 5*y**2. Let q(x) = 5*i(x) - 4*v(x). Find the first derivative of q(b) wrt b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a921 (base 12) to base 8.\nAnswer: 235651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 47, 20, -25, -94, -193?\n\"Answer: -g**3 - 3*g**2 - 11*g + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d*t**3 - d*t + 115*t**4 - 2*t**3 - 139*t - 5 wrt t.\nAnswer: -36*d*t + 1380*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 54850750.47 to the nearest 10000.\nAnswer: 54850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -x - 9, 0*p + 2*x = 3*p - 7. Let v = 7 + -12. What is the smallest value in v, -0.4, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 96, 15, -110, -285, -516, -809?\nAnswer: -1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 18 = -2*y, -131 = 2*r - 4*y - 111. Solve 5*h = -r*j + 2*j + 33, 5*h - 4*j = 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1)*r)**(4\/7)\/(r\/((r\/((r\/(r**(-5)*r))\/r))\/r)*r\/r**(1\/8)) assuming r is positive.\nAnswer: r**(-297\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v + v - 3*v + 0*v - 2*v + 4*v + (2 + 1 - 5)*(3 - 3 - v) - v + v + v + 0*v - v + 3*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 2 - (-1 + -3)) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1938 (b) 0.3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o**2 + 5*o + 22. Let f(c) = -3*c**2. Determine i(f(v)).\nAnswer: 81*v**4 - 15*v**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*f - 5703 + 5703 in the form n + b*f and give b.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 11:38 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*l - 3498*l + 49857 + 30026 + 48252 = 0 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 11184*w - 212507. Calculate l(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 6*b**2 - 6*b + 8. Let x be t(-8). Let i be x\/(-7) + 4\/(-14). Let k = 16 - i. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -2*i - 13*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*88\/(-132)*6\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 - -2 - (0 + -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19151392 + 35454992. Let i = -16303649.999983 + b. Let c = -50 - i. What is c rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38958 and 11352.\nAnswer: 1714152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-16))\/((-45)\/(-30))*-2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.2, -3, -5 in decreasing order.\nAnswer: -3, -5, -8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111652 divided by -1.\nAnswer: 111652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 7:42 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n - 20*n + 117*n in the form s*n + c and give s.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 616 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245)*-5*1.\nAnswer: -35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*(sqrt(108) + 1) + -2 - -1*(sqrt(3)*-1 + -3 - (3 + sqrt(3)*1)))**2.\nAnswer: -60*sqrt(3) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 1.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, x: 1, a: 2, y: 1, z: 6}. What is prob of sequence yaa?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-2)*(0 + -4). What is the highest common divisor of d and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1 - 2 = u, -8 = 3*x - 2*u. Let s be 315\/60*16\/66. Let m = s + -53\/33. What is the closest to m in -3, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.01, -1, 0.4, -1\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*-4*(sqrt(12) + sqrt(60)\/sqrt(5) - sqrt(12)))\/(sqrt(20)\/(sqrt(5)*-2*5)).\nAnswer: -80*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/19 (b) 10 (c) -1 (d) -3\/16 (e) 5 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 47*t - 52*t + 20 = 0, -t = i - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, v: 6, b: 3}. What is prob of picking 1 u, 1 b, and 1 v?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 438 - 437. Which is the third biggest value? (a) 2 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*q**2 + 108*q - 2 - 227*q + 113*q + 2 to k*q + x + m*q**2 and give m.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8147, 11760, -4.\nAnswer: -8147, -4, 11760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 44118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78928 rounded to 2 dps?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -165*h + 4434. What is i(11)?\nAnswer: 2619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21070, 20164, 19258?\n\"Answer: -906*t + 21976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 30 = -3*g. Let a(i) = 5*i**2 - 9*i + 6. Let k(z) = -4*z**2 + 8*z - 5. Let r(q) = g*k(q) - 5*a(q). What is the second derivative of r(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144041 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 8 = 0, 3*y + 2*i - 7*i = -13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 72?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3408000 = -4*t, 2*t - t + 852000 = 4*z. Round t to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0509 + -3?\nAnswer: -2.9491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 7 - 3)*(248*c + 43*c**2 - 248*c)*(3*c + c - 6*c) to the form y + i*c + r*c**3 + d*c**2 and give r.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4192*o**3 + 4*o**2 + 1022*o wrt o?\nAnswer: 25152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-522)*(5 + 1301881\/(-28)). Let c = -1606\/9 - o. What is the common denominator of c and 127\/48?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.09 (b) -3\/13 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.99 - 3.01. Which is the closest to 2? (a) i (b) -1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j**2 + j. Let u(y) = -19*y + 26 - 43 + 17. Determine u(b(s)).\nAnswer: 114*s**2 - 19*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/10)\/(9\/(-60)). Let r(l) = 89361*l - 8. Let d be r(y). Let w = d - -154896. Round w to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9616 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.098 - 19.902. Let v = k - -19.6. Put 0, v, -2, 0.4 in decreasing order.\nAnswer: 0.4, 0, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -7 (c) -0.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 18. Let b be 1*9 - (q - 12). Calculate the greatest common factor of 72 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/14 + 1804\/28. Suppose z = r - v - 186, 2*r - 502 = v. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110101101001000 (base 2) in base 12?\nAnswer: 104774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 309488 and 5528096?\nAnswer: 160314784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*(-21)\/((-28)\/(-4)). Is 11 a factor of 4294\/j + (-3)\/((-270)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*g**2*y**2 - 289408*g**2*y + 9484958*g**2 with respect to y.\nAnswer: -22*g**2*y - 289408*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 - 1071468091?\nAnswer: -1071468090.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 3058.\nAnswer: -13\/3058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532 (base 6) in base 11?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26143 + 21?\nAnswer: -26122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11188, -10866, -10182, -8956, -7008, -4158, -226?\nAnswer: 4968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.69025ng in grams?\nAnswer: 0.00000009869025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**22\/q**25)**11 assuming q is positive.\nAnswer: q**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.023897l to millilitres.\nAnswer: 3023.897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4805.79m in millimeters?\nAnswer: 4805790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*n = 62*n - 35*n - 255794. Put 3, n, -3, 5 in ascending order.\nAnswer: -3, 3, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -16 - (0 - -10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*l - 3*d + 19, -3184*l + 3182*l - 4*d = -38 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 1221246068867.\nAnswer: 1221246068867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17871 - 17866. Solve 3*s + 4*c + 5 = 0, -5*s - k*c = -6*c + 16 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 762 - 486. What is the greatest common divisor of 161 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3914 + 73*i + 3914)*(-6130*i - 6323*i + 11862*i) in the form j + x*i + g*i**2 and give g.\nAnswer: -43143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 120198649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 - (-11 - (6 + -13 + 5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -89424159, -89424165, -89424171, -89424177, -89424183, -89424189?\n\"Answer: -6*i - 89424153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -364 + 0?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 216.1945m in micrometers?\nAnswer: 216194500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3680*l**4 + 745.\nAnswer: 14720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*u - 2*b, b + b = -4*u + 10. Let c(t) = 5*t - 30. Let p(r) = -r - 1. Let z(f) = -c(f) - 3*p(f). Let m be z(15). Solve u + m = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + 1 + sqrt(1300) + -2)**2 - ((sqrt(78)\/sqrt(6)*-5 - sqrt(13)) + 1).\nAnswer: -34*sqrt(13) + 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -11. Let p be 330\/g*(-2 - -4). Calculate the highest common factor of p and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 - 6*h - 65*h + 2*h**2 - 3*h**2 in the form b*h + q*h**2 + v and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22648362*m + 39245753?\nAnswer: 22648362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8664927 and 59820.\nAnswer: 2991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + 1 + sqrt(200))**2*-4 + 5 + (2*sqrt(162))**2 + sqrt(162) + (-1 + 5*sqrt(8)\/sqrt(4) + sqrt(32)*4)*-1.\nAnswer: -2550 - 172*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*u, p + 2*u = -p - 30. Let h = 6 + p. Let g be (-2)\/h - 1 - (-6)\/(-18). Which is smaller: g or 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-1) - 5\/(-1)*1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 2)*(-1 + 2*u + 1) - u + u - u + (4*u - 5*u - u)*(-4 + 5 + 1) - 3*u - 5*u + 2*u + 2*u - 2*u - u)*(4*u - 87 + 169 - 87).\nAnswer: -56*u**2 + 70*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -6. Let i be 2*(u + 0) - 0. Suppose -10 = i*k - 3*k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63182 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 201, -121, -715, -1581, -2719, -4129, -5811?\n\"Answer: -136*q**2 + 86*q + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1401721162?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z**4 + 160*z**3 - 4*z**2 - 8*z - 1239. Let d(t) = t**4 + t**3 - t**2 - 2*t - 3. Let i(q) = 4*d(q) - n(q). Differentiate i(h) with respect to h.\nAnswer: -20*h**3 - 468*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55098310 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 4277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 9) to base 6.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(24)\/sqrt(3) + sqrt(8)))\/(sqrt(5) + sqrt(500)*-2).\nAnswer: -sqrt(7)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8) - 34\/(-8). Let a be 2\/9 - (-102)\/27. Find the third derivative of -2*y**4 + 5*y**a - y**4 + 0*y**b - 3*y**2 wrt y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -431 + 421. Let f be 39\/195 - 48\/p. Solve 5*k + 2*t = -26, -f*k - 3*t - 17 = -4*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -30655 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 3.\nAnswer: 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/72*2\/(-5). What is the nearest to 2 in u, -3\/8, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -42 + 40 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/7 - 5490*o**4\/7 - 99306*o**3\/7 - 447606*o**2\/7 = 0. Calculate o.\nAnswer: -9, 0, 2763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - j - 2*j)*(4*j + 14*j - 3*j) + 3*j**2 - j + j.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -12, 107, -5, -4\/5, -3\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11254 - -78780\/7. Which is the fifth biggest value? (a) -1\/71 (b) 0.3 (c) k (d) -0.1 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5487 and 27907?\nAnswer: 2595351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20327490*p**5 + 633*p + 6227 wrt p?\nAnswer: 406549800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 1766621750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s = -91*s - 222. Which is the smallest value? (a) s (b) -1.4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 42 - 51 - 3*i + 99. Let z(j) = -j. What is -d(b) + 3*z(b)?\nAnswer: -2*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 2:06 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, u: 4, l: 5}. Give prob of picking 1 l, 1 m, and 1 u.\nAnswer: 200\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 576 + 1596. Let q = t + 516. Is q a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -105.82 and 2.147.\nAnswer: -227.19554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*r + 1941 = -52*r + 3033 + 3792 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1460668 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-1) + 2\/(73\/(-306) + 15\/(-270))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1490542200 and 4725?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 946815823?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02799 + 1939.\nAnswer: 1938.97201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 24 = -8, 0 = 3*y + b - 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -378*n + 747*n - 13 - 367*n to the form q*n + s and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 11*x**2 - 6*x - 4. Let r be g(10). Let b = -21 + 34. Let c = b + r. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 + j**2 - j**2 + (5*j - 4*j + j)*(-4*j**4 + 51 - 51) - j**5 + 4*j**4 - 4*j**4.\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3 + (5 + (sqrt(180) - (2 + sqrt(180))*4) - 4*(sqrt(180)*1 + 3)))*6.\nAnswer: -252*sqrt(5) - 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38455 or 38456?\nAnswer: 38455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-528)\/(-63))\/(-22))\/(1\/3)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 7 = -7*i. Suppose 8*a - 90 = i*a. What are the prime factors of 0\/(-2) + -3*(-804)\/a?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 20 - 7 = 0. Let y(m) = -m**3 - 3*m**2 - 4*m - 1. What is the least common multiple of y(-3) and s?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 1 (c) -1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 209 = -226. Calculate the greatest common factor of 87 and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5249 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.25, 0.1, -2, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576977881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 5*i**2\/2 - i - 44. Give u(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -3, 2, -0.04, 4, 2\/17?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -143*x - 616 - 242 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11*28\/(-308))\/(((-2)\/(-6))\/(-1)). Let b be ((-1)\/14)\/(1\/(-4)). Solve 0*u**a + 4\/7*u**2 + 0 - b*u**5 + 2\/7*u - 4\/7*u**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/7 (b) 0.3 (c) -315\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 2. Let w be (0*3\/(-12))\/1. Let r be p(w). Let v be (r - (-1 + -1)) + 0. Solve -12 = y + s - 5, y = -v*s - 22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 15, s: 3}. What is prob of sequence bb?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = s - 10. Let a(t) = -12*t**3 - 3*t**2 + 3*t. Let p be a(s). Find the third derivative of 148*y**2 - 2*y**6 + 154*y**2 - p*y**2 wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5)*60*14\/(-7560).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 267 and 700.\nAnswer: 186900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12260889 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2 + 8682*b - 8680 = 0?\nAnswer: 1, 4340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-15)*-10*(-82)\/123.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 2 + 32 + -2 + -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/5 - 3*n**4\/5 + 107*n**3\/5 - 93*n**2\/5 - 1042*n\/5 - 168 = 0. What is n?\nAnswer: -12, -2, -1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 14*q - 7. Let v be w(-9). Find the third derivative of j**4 - j**6 + 43*j**2 - j**4 - v*j**2 wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.03588 and 2562805.\nAnswer: 2562804.96412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187378700 divided by -15850.\nAnswer: -11822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -41443 (base 5) in base 15?\nAnswer: -c33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-28))\/((-1)\/2). What is the fourth biggest value in 0.1, 0.3, -2\/23, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6) - 33\/(-9). Suppose -w*h = -h - 18. Let x be (-2 - -4)\/(6\/h). Solve -a - x*a + 4 = y, 0 = 5*y - 5*a - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 5*a - 5. Suppose 2*t = 6*t - 56. Suppose 0*i + t = 2*i. Suppose -2*w + i*w = -20. Calculate h(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*h + 5*h. Suppose -h*d = -9*m + 4*m + 27, 4*m - 16 = -4*d. Suppose -5*g + 1 = -4*o, -2*o - 2 = 2*g - 6. Sort 4, d, o in ascending order.\nAnswer: d, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/31)\/t*t)\/(t\/t**9))**(-21))**(-39) assuming t is positive.\nAnswer: t**(201474\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1409 - 1407. Calculate the smallest common multiple of 127 and k.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 16 = 0, 4*z = 2*c + 26 - 66. Let j = 115 + z. Calculate the remainder when j is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**4\/7 - 5802*i**3\/7 + 10317742*i**2\/7 + 20652882*i\/7 + 1475620 = 0.\nAnswer: -4145, -1, 1246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*i + 25, 0*d - 5 = 5*d + i. Suppose 4*v + 5*b - 19 = d, -11 = 4*v - 6*b + b. Let c = -7 + 10. Solve c*k - y = 4*k - 1, -4*k + y = v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -335 + 368. List the prime factors of (s + 143)*34\/8.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 12:30 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.74228365 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 85?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, a: 16}. What is prob of sequence azaz?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 7*j - 6, 4*x + 4*j - 756 = 0. Let o = -8 - -14. What is the third derivative of d**4 - 191*d**o + x*d**6 - 10*d**2 - d**4 wrt d?\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(3)*-6)\/(sqrt(15)\/(-3*sqrt(3))).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-12) - 11\/33?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2410553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 5*u**2 + 0*u**2 + 205*u**3.\nAnswer: 205*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 27*x**3 + 2*x**2 - x + 3. Let t(j) = j**2 + 18*j - 86. Let g be t(-22). What is the tens digit of c(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1562155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0130366673 to five decimal places.\nAnswer: -0.01304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*i + 49 - 268 = 413 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 7 = -52. Let m = x + -15. Let i be (-1)\/6*10 - 11\/(-3). Solve -14 = a + i*s, m*s - 25 = 5*a + s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2011 (base 5) to base 6\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(2\/9))**(-37))**(1\/57))**(3\/43) assuming h is positive.\nAnswer: h**(-407\/7353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t**2 + t + 8. Let i be d(3). Let m = i - -182\/3. What is the smallest value in -2\/7, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - t + 1. Let r(w) = -6*w**2 - 159*w + 6. What is 5*d(m) - r(m)?\nAnswer: m**2 + 154*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (-8 - -2 - 267). Let h = -263 - y. Sort h, -4, -3 in decreasing order.\nAnswer: h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (0 + -42 - -18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o + 14 - 8*o**2 + 149*o**2 + 73*o**2 + 21*o**2 - 296 wrt o.\nAnswer: 470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048384955?\nAnswer: 5, 1103, 190097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**9*n*n)**(-2\/11) assuming n is positive.\nAnswer: n**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - 5*h**2 - 12*h - 3. What is o(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*d + 9*d - 48*d**3 + 24*d**2 + 13*d - 11*d + 3.\nAnswer: -3*(d - 1)*(4*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -198, -296, -394, -492, -590?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*j**3*m + 152903*j*m - 620*m + 591 wrt j.\nAnswer: -27*j**2*m + 152903*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-211)\/(-5) + -42)*(7 - (-10)\/5).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111189413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20.721878 and -18773261.\nAnswer: -18773240.278122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 0*w = -644. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47052 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: 0 * -0.226052\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 441205704, 441205708, 441205712, 441205716, 441205720, 441205724?\n\"Answer: 4*h + 441205700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 30 + 6. Suppose -40 = -9*t + 4*t. Suppose t*o + 14 = p*o. What is the greatest common factor of o and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47311 = -5*o - 3*x, -6*x + 0*x = 5*o - 47317. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 12. Let f be j(5). Does 10 divide (-2 - 46)\/f + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 4:02 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145.9 - -155. Let o = g - 9. Let q = -126 - -125.7. Sort 3\/4, -1\/2, o, q in descending order.\nAnswer: 3\/4, o, q, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/59)\/x)\/x*x**(4\/35)*(x\/(x\/x**(-33)))**(-22\/7) assuming x is positive.\nAnswer: x**(210206\/2065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/20)\/(((-27)\/(-2892))\/(-9)). Let b = -453 + q. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j. Let g(u) be the third derivative of u**4\/8 - 8*u**3\/3 + 152*u**2. What is g(x(a))?\nAnswer: 9*a - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) 274\/5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6679 - 6525. Calculate the highest common divisor of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/376635 and 127\/17724.\nAnswer: 1506540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 213*a**2 - 178*a - 201*a - 4547*a**2 + 379*a in the form u*a**2 + k*a + p and give u.\nAnswer: -4334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 168, 172, 176, 180, 184?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7702, -7698, -7692, -7684, -7674, -7662?\n\"Answer: j**2 + j - 7704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/5)\/(u\/(((((((u*u*u*(u*u**(3\/19)*u*u)\/u*u)\/u*u)\/u)\/u*u)\/u)\/u)\/u)*u) assuming u is positive.\nAnswer: u**(-42\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107 or -99?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9*y - 1. Let l be k(2). Let t = 40 + -24. Suppose -w + t = -1. Is w < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 40326?\nAnswer: 161304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.2 + -6781597833.\nAnswer: -6781597840.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6321792 divided by -5.\nAnswer: 6321792\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/(-2) + 17\/34. Solve 3 = -5*h - n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32 + 34)\/(1 + 0). Suppose -j = w - 8, j + 9 = -3*w + 27. Solve -4*i + 7 = -n, s*n + w*i - 8 = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u = -23*u - 54*u - 295. Sort 48, 1, u, 19 in descending order.\nAnswer: 48, 19, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5099493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 39*y + 23 - 37*y + 137*y - 39*y - 20*y.\nAnswer: 2*y + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15010 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -141967.846 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 401987.1mm?\nAnswer: 401.9871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2805941803 to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 - 34*r\/3 - 100\/9.\nAnswer: -2*(r + 1)*(r + 50)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(2\/5)*z**(-4\/5)*(z\/(z**5\/z))\/(z**(-3)*z*z) assuming z is positive.\nAnswer: z**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2.5. Let g be 4\/(-6)*(-15)\/2. Which is the smallest value? (a) t (b) 0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(-5)*w))\/w**(1\/14))\/(w**(-1\/4)\/w*w**(-6)\/w*w))**(13\/6) assuming w is positive.\nAnswer: w**(4433\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -110*d + 3. Is j(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + -117 + 99 - (-10 + -101)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 14. Let f be 44\/5 + u\/45. Are 8 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 464380 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 11*f - 19. Let s = -2177 - -2168. What is y(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10909?\nAnswer: 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 20528772.\nAnswer: 61586316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*u**2 - 95*u - 91*u + 7 + 183*u - 2 to the form i*u + v*u**2 + m and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31042042 + 2?\nAnswer: 31042044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 473352 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 17. Give b(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/15 and -169\/150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 3. Let j be 6*(-28)\/(-6) - 4. Let o = -49 + j. Let c = o + 28. Determine h(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 - 2*w**2 + 5*w**2 + (0 + 0 - 2*w)*(-6 + 6 + 2*w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + n = 31, -13 = -4*c - 2*n - 71. Let a(i) = -i**3 - 15*i**2 - 12. Calculate a(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -60, 0.18, -5 in descending order.\nAnswer: 0.18, 0, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16 - 36 = 0. Let z(y) = 13*y**3 - 3*y**2 + y - 4. Let s(n) = -11*n**3 + 2*n**2 + 4. Let c(q) = x*z(q) - 6*s(q). What is c(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3130395 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 - 8*j**3\/7 - j**2\/7.\nAnswer: -j**2*(j + 1)*(7*j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)*(k**6\/k)\/k)\/(k**(-1\/4))**(-46))\/(k*k*k**(-5)*k**(-3))**(3\/38) assuming k is positive.\nAnswer: k**(-495\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*d**3 - 1320920*d + 1320920*d.\nAnswer: -478*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 77*k**4 + 113*k**2 + 2. Let g(q) = -153*q**4 - 225*q**2 - 5. Let r(m) = -2*g(m) - 5*i(m). What is the third derivative of r(h) wrt h?\nAnswer: -1896*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -589649 - -1799649. What is l rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24261523 (base 7) to base 5\nAnswer: -1023310212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/1863 + 26704\/1863. Find the common denominator of 35\/8 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*q**2 - 3 + (-q + q**2 + q)*(2 + 2 - 1) + (83 + 14*q - 83)*(2*q - 2*q - 2*q) + (2*q + 2*q - 5*q)*(q + 3 - 3) - 3*q**2 + 4*q**2 - 2*q**2.\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 - 13. Suppose 1 = -3*y + 7. Suppose -4*r - 20 = -0*r, -4*r - 46 = -y*n. Calculate the greatest common divisor of z and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 573086.542?\nAnswer: 573086.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(72\/40 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -808086.7 rounded to the nearest one hundred?\nAnswer: -808100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10432437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17071811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -6*l - 13*l + 4*d, -l - 5*d - 122 = -100 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1772, 5, -5, -3, -6, -17, -1.\nAnswer: -1772, -17, -6, -5, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73878837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42, -190, -448, -828, -1342, -2002, -2820, -3808?\n\"Answer: -2*s**3 - 43*s**2 - 5*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 88.779*57\nAnswer: 5060.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 657, 1324, 2003, 2700, 3421, 4172?\n\"Answer: y**3 + 660*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 4. Let d be h(-7). Suppose -g = 4*v - 4*g - 18, 5*g + 1 = -d*v. Suppose 0 = v*w - 5 + 2. Is 1 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 1. Let l(p) = -7 - 1 - 3*p**2 - p**2 + 11*p**2. Let z = -1 + 2. Let s(r) = z*l(r) - 6*w(r). What is the first derivative of s(f) wrt f?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89450 is divided by 209?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqr when three letters picked without replacement from {n: 1, l: 3, q: 1, r: 2, t: 3, a: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28493*n**2*q**4 - n**2 - 2*n*q - 317*n - 5*q**5 - 40*q wrt q.\nAnswer: 341916*n**2*q**2 - 100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from wgwgaaaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440605 divided by 813535?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12820569?\nAnswer: 3, 4273523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-4) + -9*(-25)\/(-15)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18290.\nAnswer: 2, 5, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185490 divided by -37098.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8235909 and 1012?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 0 - 11*a - 1\/32*a**4 - 5\/8*a**3 + 0*a**2. Factor b(q).\nAnswer: -3*q*(q + 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5258, -10511, -15764, -21017?\n\"Answer: -5253*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18341, -46376, -74411?\nAnswer: -102446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 170, 312, 454, 596, 738?\n\"Answer: 142*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 492\/(-7749)*-189 + ((-1)\/1 - -18)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-54)\/10 - 2\/(-5). Let p(q) be the first derivative of -q**4\/4 + 5*q**3\/3 - 3*q**2 + 7*q + 60. Is p(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1261*z**2. Let b(r) = -2*r. What is l(b(v))?\nAnswer: 5044*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -24*r. Let v(n) = 4069*n**2. What is b(v(p))?\nAnswer: -97656*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*x**(2\/3)\/x*x*(x**(-1))**(11\/5))\/((x**(-1\/12)*x)\/(x\/(x\/x**7*x))*(x\/(x*x**(2\/3)\/x))**(-47\/2)) assuming x is positive.\nAnswer: x**(503\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -49*g - 4*g**3 + 42*g + 7*g**2 - 4 - 1. Let l be 1 - 1 - 54\/18. Let b(v) = -2*v**3 + 4*v**2 - 4*v - 3. Let r(x) = l*t(x) + 5*b(x). Calculate r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 2*n**2 + 0*n**2. Let f(l) = -10*l**2. Let b be (-1)\/((1\/(-1))\/(-1)). Determine b*f(g) - 12*m(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 77131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -299 - -378. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 76.9, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**3\/3 + 5*t**2\/2 - 3*t + 6. Let l be h(4). Let s be 1119996\/(-16) + l\/(-4). Round s to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 1, f: 2, z: 2}. What is prob of sequence saf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (717\/11 - 2) + (-4)\/22. Suppose -2*b = -3*k + 250, 0 = -k + 5*b + 16 + x. Does 28 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -14*g**2 - 66*g + 13. Let c(t) = 3*t**2 + 3*t + 4. Give 4*c(p) + r(p).\nAnswer: -2*p**2 - 54*p + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254326 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10171018 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-63)*3\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from zzxo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -192782 + 309501. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 - 4*i**2 + 3*i**2. Suppose 0 = -2*k + 5*a - 3, -3 + 0 = -3*k + 5*a. Let g(o) = 8 + k*o**2 - 8. Determine s(g(q)).\nAnswer: 72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8729*o = -8740*o + 154 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1865 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/6 and -67\/2744.\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3836793 = 134*o - 29*o + 11416743. What is o rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -24*y + 12. Let c(o) be the second derivative of -o**3\/6 + o**2\/2 - 29*o - 6. Give 10*c(j) - z(j).\nAnswer: 14*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-4)\/8)\/(((-432)\/(-8))\/(-6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 2, q: 13, k: 1, c: 3}. Give prob of picking 1 q and 1 c.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = 3*y - 63. Solve -y = -2*s + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 999, 960, 901, 822, 723?\n\"Answer: -10*j**2 - 9*j + 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**8\/168 + c**4\/8 + c**2\/2 - 1. Let q(h) be the second derivative of t(h). What is the second derivative of q(d) wrt d?\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2243340 (base 6) to base 9\nAnswer: -184456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/27*-3*-1\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 15*u**2 - 26*u + 8. Let l(q) = q**3 - 2*q + 2. Let z(x) = 4*l(x) - y(x). Find p such that z(p) = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, v: 2, k: 2, f: 3}. What is prob of sequence ekvv?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 5*n + 143, 182*t + n = 177*t - 19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432)\/(sqrt(48)\/(sqrt(8) - sqrt(8)*-1)) - (-2*sqrt(968))\/((sqrt(16) - sqrt(64)\/sqrt(4)) + sqrt(4)).\nAnswer: 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 5*j**2 + 7*j + 59. Let n(c) = -3*c**3 + 14*c**2 + 20*c + 177. Let k = -29 - -12. Let m(s) = k*q(s) + 6*n(s). Is m(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 59 = 5*v, 35 + 35 = 5*c - 3*v. Let s be 33\/30 + -1 + 7984\/160 + 1. What is the highest common divisor of s and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjzjttjjjjtzztzj. Give prob of picking 3 t.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255257, 1021039, 2297343, 4084169, 6381517, 9189387?\nAnswer: 12507779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22210 (base 4) to base 16\nAnswer: -2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 740*b - 17. What is the hundreds digit of m(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*g*n*z**3 - g*n*z - 5*g*n + g*z**3 + 27*g + 8*n*z**2 + 2*z wrt z.\nAnswer: 426*g*n*z + 6*g*z + 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 350235 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*w + w - 3*w)*(7 - 2*w - 7) - 107*w**2 - 45*w**2 + 474*w**2)*(-4 + 3 + 2)*(0*w + 0*w + 3*w) in the form y*w**3 + t*w**2 + q + a*w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 7*w**2 - 2*w + 3. Let j be i(6). Let g be ((-18)\/4)\/(1\/(-24)). What is the greatest common factor of g and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/8 in -5, 33, -0.4, -4\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 greater than or equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 13 - (42 - 30)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(12\/(-10)) + 0.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**3 - 5*y + 5. Let i(k) = 3*k**3 + 2*k - 2. Let s = -43 + 48. Determine s*i(r) + 2*m(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*i**2 + 5 - 8 + 3)*(3*i**2 - 4*i**2 + 21*i**2).\nAnswer: 360*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173029 by 559.\nAnswer: -173029\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198140166.\nAnswer: 2, 3, 7, 89, 17669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -55\/3*c**3 + 0*c + 33\/2*c**2 + 40. What is the second derivative of v(d) wrt d?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/6 - (6\/4 - 0). Suppose 644 = -m*r - 51. Let f = r - -205. Is f a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85a0 (base 11) in base 12?\nAnswer: 66ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -11011001110000010001000?\nAnswer: -11011001110000010000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/69*(-174)\/(-1392).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 87578.22547 to the nearest one thousand.\nAnswer: 88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2904 and -79\/39204.\nAnswer: 78408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2 + 11*l + 24. Let a(c) = 9*c**2 + 22*c + 44. Let m(v) = -6*a(v) + 11*x(v). Factor m(y).\nAnswer: y*(y - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7\/3 (b) 22\/41 (c) 3 (d) -4 (e) 5 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 9:12 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 86.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/7 + -15\/14. Which is greater: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27731831 and -1?\nAnswer: 27731831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.06 - -273.94. Let w = -54893583 - -54893862.99757. Let l = j - w. What is l rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*40\/420*3\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169142948 = 17*t + 448484052. What is t rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-16) + -4*(-3)\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4135, -0.299, 5 in decreasing order.\nAnswer: 5, -0.299, -4135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*z - 175*z - 172*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17109 and 23805.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 22 + -30 + 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108 + 52. Let p = 27 + x. Let f = -29.000084 - p. Round f to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20898 and 227529.\nAnswer: 58702482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 + 2. Let p = 3052 - 3046. Which is the nearest to p? (a) 0.4 (b) -2\/11 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2035, -4983, -9911, -16831, -25755, -36695, -49663, -64671?\nAnswer: -81731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -124, -183, -234, -271, -288?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -19279929*-0.1\nAnswer: 1927992.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**5\/60 - 3*c**4\/8 + 2*c**3 - 17*c**2 + 1. Let m(j) = -1 + 4*j - 2 - 3*j. Let h be m(-6). Calculate f(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 837*q + 191*q - 8224 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**5\/20 + a**4\/6 + a**3\/3 + a**2 - 2*a. Let m be 10 + 24\/(-9) - 8 - (-11)\/3. What is g(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 83602192 + 83602192.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -3) + 8 + (-10 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Let a be 2 + (-1 - 0)*3. Let u(s) be the second derivative of s**2\/2 - 14*s. Calculate a*u(g) - d(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4428.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q - 45. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/21480 and 11\/54.\nAnswer: 193320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (51\/15 + -3)*(8 + 2). Calculate the common denominator of ((-272)\/66 - 3\/(-9)) + r and -119\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807 a factor of 631374651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.71, 0.1, 1\/4 in descending order.\nAnswer: 0.71, 1\/4, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r - 15. Let b be s(2). Suppose 3*a + b - 185 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 14. Let t be x(13). Let w be 16\/(-4)*t\/(-2). What is the nearest to 2 in 4, 1\/3, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 2\/3 (c) -0.2 (d) -5.8 (e) 0.4 (f) 1 (g) 0.44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*y - 12 = 0, -1140*r + 2*y = -1139*r - 10. Solve -r*o = -83 + 73 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39731444 to the nearest integer?\nAnswer: 6303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -419*w + 840. Let f be n(2). Let y(h) be the second derivative of 5\/6*h**3 + 0 + 25*h + f*h**2. Find the first derivative of y(g) wrt g.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 - 65. Let u be (((-16)\/(-6))\/(-4))\/(w\/(-462)). Let q(x) = -x**2 + 13*x - 13. Let z be q(u). Solve 0 = 5*d - z*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**5\/60 + 7*s**4\/24 + s**3\/3 - 17*s**2. Suppose 2*p - 51 = -41. Calculate the remainder when h(-9) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, b: 1, c: 1, r: 4, s: 3}. Give prob of sequence ss.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -11*y**2 - 2*y - 1116. What is k(-2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2980\/6*(-10)\/(140\/(-21)). Let h = 1707 - w. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 15*d**2. Let i(u) = 12164 - 12164 - 4*u**2. What is r(i(s))?\nAnswer: 240*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2. Suppose 0 = -4*q + 3*q + 4. Let s(a) be the third derivative of 0*a**q - 2*a**2 + 0*a + 0*a**3 + 0 - 1\/30*a**5. What is s(f(c))?\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-297)\/(-30) + (-6)\/(-10). Let w = j + -11. What is the common denominator of ((-2)\/25)\/((-32)\/2340) and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 875886.\nAnswer: 2, 3, 11, 23, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -272, -612, -1088?\nAnswer: -1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1188*w + 2*w**2 + 315*w + 1 + 0.\nAnswer: 2*w**2 + 1503*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17802798703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/171 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 328083 divided by 4?\nAnswer: 328083\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 122.\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z**2 - z + 1. Let c be b(2). Let j(k) = -k**2 - 16*k - 20. Let w be j(-10). Suppose -c = -2*o - 3*y, -3*o - 3*y - w = -4*o. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000279181185 to 7 dps.\nAnswer: 0.0000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -106, -212, -316, -418, -518?\n\"Answer: a**2 - 109*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -4 (c) -3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmmg when four letters picked without replacement from gmggggggmhghgg.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 2:10 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.1 + 10. Let k = w - 0. Let f = 6 - 3. Sort k, f, 0.1 in decreasing order.\nAnswer: f, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64729 is divided by 203.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 equal to -1\/487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31614481355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*s - 286*s - 38*s)*(3 + 1 - 2)*(-2 + 5 - 4) to f + w*s and give w.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4788, -5310, -5830, -6348, -6864, -7378, -7890?\n\"Answer: m**2 - 525*m - 4264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/146400 and -87\/328.\nAnswer: 6002400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1478.2 and 29.316648?\nAnswer: 1448.883352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*t**2 + 72*t**2 + 193*t**2 + 83*t**2 + 72*t**2 - 575*t**2 + 78*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -75350 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 364093*k**2 - 1820486*k + 1456392.\nAnswer: (k - 4)*(k - 1)*(k + 364098)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 - (5 + -8 + 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3484649.5 to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 - 5*m**3 - 73*m**2 - 64*m**2 + 137*m**2 - 53*m to v*m**2 + l + w*m**3 + s*m and give s.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252250, 252249, 252248, 252247, 252246?\nAnswer: 252245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2485, -2486, -2485, -2482, -2477, -2470?\nAnswer: -2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 8:29 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*1 + sqrt(1539) + 4 + 0 + sqrt(475) + -2.\nAnswer: 2 + 23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1966, 3935, 5904, 7873, 9842, 11811?\n\"Answer: 1969*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2327 to three decimal places.\nAnswer: 0.233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 21 = -15*a. What is the remainder when 10 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -303 (b) 7 (c) -0.1475\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -1414, -4420, -10096, -19294?\nAnswer: -32866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 8*l**2 + 6*l - 5. Let m be g(-7). Let o(k) = 0*k**m - 2*k**2 + 6*k**2. Let d(n) be the third derivative of n**5\/30 - 8*n**2. Give o(d(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 803741.2 nanoseconds?\nAnswer: 803.7412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -22.0978.\nAnswer: -66.2934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**4\/4 - 3*a**3 - 9*a**2\/2 + 7*a + 72. Let o be 2\/8 - 390\/(-40). What is f(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 16*w**2 - 17*w + 32. Let h be n(15). Factor 6 - 712*o + 715*o - o**2 - 5*o**2 + 3*o**h.\nAnswer: -3*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 57, 457, 130, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bubhbbubuuhbu. Give prob of sequence hh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.01 - 0.01. Let t = d + -7.32. Let b = t - -1.32067. Round b to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 411377*k**3 - 292846?\nAnswer: 1234131*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1241142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.46 - 0.04. Let n = z + 0.6. What is the second biggest value in -0.5, 3\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1374 bigger than -1378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from vehcevcettevvh.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.02 (b) 3\/5 (c) -12.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -290.40778286541.\nAnswer: -290.00778286541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 551806470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1276)\/435 + 3)*(-10)\/6\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from rsfvssssvosv.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3917*a**3*h*w - 2*a**2 - 3*a*h*w + h - 4*w wrt a?\nAnswer: -23502*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-6) - (-5)\/15)*12. Suppose 0 = 4*k - 142 + 94. What is the remainder when 1\/2*y*(14 + -3) is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7933129642 to the power of 1\/3, to the nearest integer?\nAnswer: 1994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4024*t**2 + 4257*t + 88. Let u(x) = -12072*x**2 + 12772*x + 286. Let h(y) = 4*u(y) - 13*w(y). Find the second derivative of h(p) wrt p.\nAnswer: 8048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -246 - -2212\/9. Suppose 0 = -0*v + 3*v - 6. Let c = v - 2. Is c <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 7. Suppose 0 = 2*b - t*b + 260. Calculate the common denominator of 3\/(-4) + 1417\/b and 32\/41.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -941910 or -941911?\nAnswer: -941911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.753 - -1.753. What is the fourth biggest value in -1\/3, n, 0.4, 0.06, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -2249.\nAnswer: -1574.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*(sqrt(204) + 1*sqrt(204)) + sqrt(204))*-4)\/((sqrt(108)*-1)\/sqrt(9) + -3*sqrt(12)*5).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p - 3, 7 = -l + 3*p. Find the common denominator of l and 510\/8*(-124)\/(-558).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1666)\/(-105) + 2\/15. Suppose -13 = -3*x - w + 10, 0 = -x - 2*w + o. Solve p - x = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -93*m**2 + 71. Let f(i) = 2*i**2. Let a(c) = -2*f(c) - t(c). Find the first derivative of a(w) wrt w.\nAnswer: 178*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 12*h + 61. Let k be p(11). Suppose k = 2*n + 3*s, 2*n - 14 = 2*s + 36. Calculate the remainder when 93 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0246*1.2\nAnswer: -0.02952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.7843 and 236.326.\nAnswer: 238.1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -15*l + 1. Let h(v) = -44*v + 3. Let c(o) = -7*a(o) + 2*h(o). Let d be (-4)\/(-12)*(-1 + 4). Is c(d) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -9*w - 180. Let g be i(-20). Solve 10*z - 13*z = g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2123 + 11?\nAnswer: 2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 u, and 2 q when four letters picked without replacement from {u: 2, e: 2, n: 1, p: 1, b: 1, q: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-100)\/(-6)*96\/20. Suppose 3*d - 69 = -21. Calculate the highest common divisor of d and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 152552.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 607?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3062718390.\nAnswer: 2, 3, 5, 103, 991171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.9369 - -1418.3731. Let c = z - 1414. Let n = c + -11.8. What is n rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(48)*3)**2.\nAnswer: 48*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 10*q**2 + 20*q - 1. Let m = -109 - -117. What are the prime factors of g(m)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168\/13 + -530\/39. Put -2\/15, g, 0 in decreasing order.\nAnswer: 0, -2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110220112 (base 3) to base 15.\nAnswer: -2bc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 131\/3. What is the nearest to -1 in -3, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 185536422, -2 in decreasing order.\nAnswer: 185536422, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*x = -10*z + 16, 3*z - 6 = -3*x. Solve 3*m - z*k = m - 24, 0 = -5*m - k - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -14*i + 63. Let c(s) = 5*s - 21. What is -11*c(g) - 4*z(g)?\nAnswer: g - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 306098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -1 + -4 - (sqrt(156)*1)\/sqrt(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34550, 276373, 932754, 2210975, 4318318, 7462065?\n\"Answer: 34547*h**3 - 3*h**2 + 3*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90480171 and 24.\nAnswer: 723841368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/(-6)*18\/12. Solve 3*z = j + 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 9 = 0, 1 - 13 = -i - 4*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -73479, -293803, -661041, -1175193, -1836259, -2644239?\n\"Answer: -73457*w**2 + 47*w - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3344 or 430?\nAnswer: 430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 31 = 5*z + 4*j, -11 = z - j. Calculate the common denominator of -109\/10 and -57*(-10)\/(-45) + z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 25?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3\/4, -0.5, -22, 211?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3272 = -4*g, -4*d + 383 = -g - 2892. Is d a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6147781 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -108, 0, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4 - 20, 5*c + 18 = 2*f. Let v(g) = 4*g**2 - g - 1. List the prime factors of v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = v - 24. Let r(p) = -p**3 + 8*p**2 + p - 8. What is the tens digit of r(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**7\/1260 - a**6\/180 - a**4\/12 - 6*a**2. Let c(y) be the second derivative of x(y). Factor c(o).\nAnswer: -2*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 345\/37 (b) 40 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*c*n*p*x + 65*c*n*p - 2*c*n + c*x - 3*n*p*x + 2*n*x + 457*p*x + p wrt c?\nAnswer: 4*n*p*x + 65*n*p - 2*n + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/781 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9 + 3. Let a = -0.81 + 57.81. Let g = a - 81. Do g and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -155658*m**2. Let f(i) = 2*i. Calculate f(x(z)).\nAnswer: -311316*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 34 = 5*a, -m = 4*a + 20 + 5. Let j be -15*(-2 + (-10)\/a). Solve -3*i + 4 + j = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11877859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*c**2 + 6 - 6 + c**2 to the form a*c**2 + z + g*c and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 0 + 0*h + 7\/60*h**5 - 2*h**2 + 1\/12*h**4 - 1\/120*h**6 - 1\/3*h**3. Calculate the remainder when g(5) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/133 or 1?\nAnswer: -8\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 286*t - 11865. Calculate k(42).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -97672565.\nAnswer: -97672562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1039*o - 35338. Give c(-31).\nAnswer: -3129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.6812728 minutes?\nAnswer: 40876368000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 193 = 4*l, -12 - 13 = -5*o. Let i = l + -37. Let a be -6 - (-10 + 3 + i). Sort -1, a, -0.8 in descending order.\nAnswer: -0.8, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.3657 + -42\nAnswer: -27.6343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 6) in base 11?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 808777786 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 e, and 1 h when three letters picked without replacement from hhhkkhegeehehh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*u + 157*u - 3960*u**3.\nAnswer: -3960*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/5657?\nAnswer: -3\/5657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -580313\/11 smaller than -52756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9183, 6, -5 in decreasing order.\nAnswer: 9183, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4 - 373164*d**3 + 17419474610*d**2 - 1217508930336*d - 1234928778112 = 0?\nAnswer: -1, 71, 93256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - 3. Suppose -2*h = 3*v - 15, -h - 2*v + p + 9 = 0. Solve 0 = w + 2, h*k - 2*w = 3*k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = -5*j - 136 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*j - 51, r = -5*j - 4*r + 85. Suppose 3*g = j + 19. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 5. Let p = c + 0. What is the greatest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29703.09 - -13494.017. Let s = -16217 - v. Let g = s + 8. Round g to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.02 or -19?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 23*n - 3. Let g(p) be the second derivative of -p**4\/6 - 388*p. Give l(g(r)).\nAnswer: -46*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**5)\/k*k\/(((k*k*k**(-1\/2)*k)\/k)\/k*k)*k*k*k)\/((k*k**(1\/4))\/k)**7 assuming k is positive.\nAnswer: k**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(33)*5 - sqrt(33))*4)\/(-3*(-2*sqrt(2100))\/sqrt(7)).\nAnswer: 4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5601138 kilometers in micrometers?\nAnswer: 560113800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2 + 66\/12. Suppose 0 = 5*f - 5*p + 40, m*f - 5*f = -5*p + 12. Let t(j) = -j**3 - 4*j**2 - 3. What is t(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, b: 1, i: 2, t: 4, e: 1, u: 2}. Give prob of sequence bi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 566702511 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15270, -15252, -15234, -15216, -15198?\n\"Answer: 18*a - 15288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 12 = 0, 3*x - 5*c - 34 = 7. Let b(l) = -11*l**2 + 7*l + 5. Let a(p) = -6*p**2 + 4*p + 3. Let w(n) = x*a(n) - 4*b(n). Give w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1674 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29471*z - 59303*z + 29829*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 402*k + 4. Let x(h) = -h**2 + 4*h + 1. Let j be x(4). List the prime factors of b(j).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (5 - 9) + (-2 - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 64c7 (base 16) to base 10\nAnswer: 25799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + 523*n = -1152*n - 185024 for n.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - q = -0*i, 5*i = -q + 16. Suppose 0 = 5*h - 2*n - 33, 0 - 23 = -i*h + 5*n. Let m be 5 - h - (2*-1)\/(-2). What is the nearest to 1\/4 in -0.3, -4, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10)\/(5\/(-30)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4ca (base 15) to base 14.\nAnswer: 57c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -5*w - 2*i, 5*i - i = -4*w + 92. What is the remainder when 77 is divided by w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2126823 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -512.3 (c) 0.1 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 163*t - 164*t - 11 = 0, 0 = 3*g - 2*t - 24 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.045+167\nAnswer: 167.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 273520*p**3 - 206028*p?\nAnswer: 1641120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + n**2 + 64. Let v be b(0). Suppose 0 = o + v - 191. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 30. Let m = s - -15. Let h = 50\/3 + -16. Are h and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcuqggcququq. What is prob of sequence vgc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fypm when four letters picked without replacement from mbdbbdpdydfymdmdd.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095371 to the power of 1\/2, to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.7 + -3.7. Let l = -9.7 + 10.96. Let i = -2.26 + l. Which is the closest to -0.4? (a) -4 (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*q + 108 = -87*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 6*g - 37. Let l be q(10). Factor 0 + 0*y**2 - 1\/7*y + 1\/7*y**l.\nAnswer: y*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -1710844?\nAnswer: -3421688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 12. Suppose 2*m = p*b + 10 - 126, -b - m = -32. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.05, 4, 3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -19. Calculate the smallest common multiple of 6 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - -207. Let h = -111.5 + m. Let y = -29 + h. Which is the nearest to -14? (a) 3 (b) y (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -50 + 8*v - 8*v + 16*v - 3*v. Calculate the remainder when q(13) is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1941c + d6?\nAnswer: -19326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v - 452. Let y = v - 160. Let j = 141 - y. What is the greatest common divisor of j and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - -26 - (17 - (0 - 0))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4095 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 17 + 1 = 0. Suppose 0 = a*c + 152 - 1376. Is 74 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -15. Let k be -1 + (-2 - -3 - -1). What is the remainder when s is divided by 2\/2*6 + k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.35777 + -3.858003. Let t = 1.5 - x. What is t rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 10*x**3 - 231*x**2 - 9*x + 1016. Calculate j(23).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f**3\/3 - 131605*f**2 + 141000*f = 0.\nAnswer: 0, 15\/14, 28200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -140.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 10034.\nAnswer: 2006.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1320\/(-770))\/(-4 - 90\/(-21))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24047884?\nAnswer: 2, 7, 137, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3113 at most -3112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36867008481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/(-8))\/(9\/24). Does 5 divide (8\/u)\/((-8)\/(-100))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199e3 (base 16) in base 13?\nAnswer: -389b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*q + 60 = 0, -2*x - 5*q - 49 = -5*x. Calculate the remainder when 71 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11623c91 + 3?\nAnswer: -11623c8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/((-2)\/(-4)). Let a(f) = 4*f**2 - 1. Calculate the least common multiple of 9 and a(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/4433 and -35\/1612.\nAnswer: 17732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2583 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 80. Let n be s(0). Let u = n + -39. Let y = 92230 - 92226. What is the remainder when u is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-18) - (-25)\/9. Suppose 0*v - 5*v = 5*z - 15, 3*z - 3*v = 15. Solve 4*i = -z*c - 20, -8*c + x*c - i = 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5272834*b**3*p*s**2 - 2*b**3*s**3 + 4*b**2*p*s**2 + 89909*b**2*s + 3*b*p*s**3 wrt b?\nAnswer: 31637004*p*s**2 - 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -20*m**2 + m - 55. Let l(x) = -9*x**2 + x - 30. Calculate -2*g(o) + 5*l(o).\nAnswer: -5*o**2 + 3*o - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = j - x, 0*j - 4*x = 2*j - 14. Suppose 5*m - 1 = 14, -3*l + 5*m = j. Suppose o - 12 = -l*o. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is afdf49 - 11?\nAnswer: afdf38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s**2. Let f(w) = -w + 1. Let q(o) = -o + 3. Let c(t) = -3*f(t) + q(t). Give h(c(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 646?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-9)\/2*(-60)\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 25 - 15 - 2 + 0 + 4 - 1 + 1 + 1 + (0 - 2 + 1)*(2 + 0 - 3))*(4*f**2 - 2*f**2 - 13*f**2).\nAnswer: 264*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -60*p + 35 + 117*p - 55 - p**3 - 61*p + 10*p**2. What is u(10)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1095*v + 3974*v**2 + 1 - 1088*v - 3980*v**2 to w*v + y + b*v**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131 times -1.1?\nAnswer: 1244.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = 5*t, 3*t - 38 = -5*u - t. Suppose 2*m - 4 = -0*m. Let o be m + ((-176)\/1)\/(-2). Calculate the highest common factor of u and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*z + 88*z + 4*z + 2668 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**3\/8 + 48849*u**2\/8 + 268503*u\/4 + 61020 = 0.\nAnswer: -16272, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftofofuuffffuuqfff. Give prob of picking 1 o and 1 f.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c - 1. Suppose 0 = -3*y - 2*u + 21 - 33, -5*u + 20 = -5*y. Let q(d) = 5*d - 1. Give y*q(p) + 6*r(p).\nAnswer: 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2. Let r = 19 + -16. Let m(w) = -3*w + 4*w**2 + 3*w + r*w**2. Calculate x(m(l)).\nAnswer: -98*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/21 + 5696\/224. Solve -8*k = -j*k - 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 != 435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 355418 a multiple of 371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373 = 18*v - 94*v - 221 - 1002 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.2 - -2.2. Let h = z - -9.1. What is the closest to -1 in 2\/13, -1\/2, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 4*f - 10. Let l(q) = -9*q - 3. Calculate the remainder when 27 is divided by l(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -2, -580529 in decreasing order.\nAnswer: -2, -20, -580529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 5293*o**2 - 4620. Let h(x) = 2*x. Give i(h(w)).\nAnswer: 21172*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -729\/4*x**2 - 2187*x + 69\/4*x**4 + 3\/4*x**5 + 0 + 405\/4*x**3.\nAnswer: 3*x*(x - 4)*(x + 9)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i - 7. Let x be g(-9). Suppose x = 2*r - l - 3*l, r = l + 7. What is the lowest common multiple of 14 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1932000 divided by 7.\nAnswer: -276000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 3:30 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69540\/793 + -88 - (-2 - (-1902)\/(-13))?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1429117, -1429136, -1429161, -1429192, -1429229, -1429272, -1429321?\n\"Answer: -3*n**2 - 10*n - 1429104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2 = -0*k + k, -9 = -3*k - 3*j. Suppose 47 = k*w + 5. Suppose 0 = -4*m + w + 139. What is the greatest common factor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183458794?\nAnswer: 2, 19, 4827863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39440?\nAnswer: 2, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 l, and 1 a when four letters picked without replacement from {a: 1, r: 2, d: 2, m: 1, l: 1, n: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2695 and -4\/18998265?\nAnswer: 930914985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*h + 2. Suppose -4*r - 24 = -4*v, 0 = -4*v + 3*r - h*r + 30. What is the remainder when 15 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 839822 times -35?\nAnswer: -29393770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -60 (b) 39\/7286 (c) -0.4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743 is divided by 125.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w - 16*w + 9*w - 267463*w**2.\nAnswer: -267463*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n - 6. Let s be 1 - 3 - 8\/((-48)\/(-18)). Let t(l) = l - 1. Determine s*t(o) + f(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 13*p + 16. Let b be k(12). What is the highest common factor of 70 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*w - 10, 3*r + 5*w + 11 = 2*r. Which is bigger: r or -18\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3938 times 12.5?\nAnswer: 49225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - h - 15. Sort -5, -4, h in decreasing order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6838 a factor of 82069676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*k*o*p - 5691*k*p + o*p + 1079*o + 9*p wrt o.\nAnswer: -15*k*p + p + 1079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3955*v - 1562*v - 2*v**2 + 5517*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 = 3*a, a + 2*d + 3*d = -3. Suppose a*c - 16 = -2*c. Solve 0 = -c*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 3\/5 (c) -3 (d) -86 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*f - 3337 = -108*f + 4738 + 1868 for f.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 310924 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a2a38 + -5?\nAnswer: -1a2a3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/189*28\/(-16)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/33)\/(-5))\/((-83)\/(-913))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 844*d**4 + 9*d**3 + 6*d**2 + 719 wrt d?\nAnswer: 20256*d + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/138)\/(57\/(-36))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/6 and ((-2)\/(-6))\/(702\/5538)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 2 + 11 + -14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3702 is divided by 47?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 + 16*p + 13. Let v be h(-10). Let u = v + -353. Solve -x + 3 = -u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -8*y - 18. Calculate the remainder when ((-5 - -6) + 5)*(-33)\/y is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/y**29)\/y)*y*y**(-1\/4))\/((y*y*y**(-40))\/y**(-7\/4)))**(-4\/15) assuming y is positive.\nAnswer: y**(-268\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -814, -2580, -6018, -11686, -20142?\nAnswer: -31944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhs when four letters picked without replacement from {s: 3, h: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/5, 3, -3\/8, -18, 2226?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222 + -2110202021102?\nAnswer: -2110202020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -99*l + 8. Let n(y) = 2*y - 28. Let k be n(16). Let z be a(k). Let u = 1295 + z. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 49602863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 903, 1822, 2747, 3678, 4615, 5558?\nAnswer: 6507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 14 = 4*t + 2, 0 = -5*t + 4*b + 15. Suppose 28 = 5*q - 2*v, -42 = -4*q + 3*v - 14. Which is smaller: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -i - i. Suppose c - 2*v - 34 + 4 = 0, -102 = -4*c + 2*v. Calculate the remainder when i is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**2 - 154424*u + 2626923. What is c(17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 156372602431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-22))\/((-20)\/154*(-1952)\/(-9760))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 14908.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1407*f**3 + 7*f**2 + 14*f - 1992. Let v(p) = -702*p**3 - 4*p**2 - 8*p + 997. Let l(t) = -4*j(t) - 7*v(t). Find the first derivative of l(o) wrt o.\nAnswer: -2142*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17746.247 rounded to the nearest one hundred?\nAnswer: -17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6578.\nAnswer: 2, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from cmcccmcc?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 95803448 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -46202795653 plus 1.06?\nAnswer: -46202795651.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1608*t + 29020 = -157*t for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -44*x - 50. Let g be s(-1). Let h(y) = 5*y + 29. Give h(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - 32) + 2 + -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-20)*(-8)\/(-6). Suppose 5*v = x*j + 271, -j = 2*v - 68 - 35. Calculate the remainder when v is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139494 divided by -134?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - 1 - (-4 + 3). Suppose -r + 10 = -h. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 332592 and 2952?\nAnswer: 997776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1943482 and 10578.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 11:18 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m + 187 - 57 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/127 - -240\/889. Suppose q*y**2 + 2\/7*y - 2\/7 - 2\/7*y**3 = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*i - 15, 7*f - 9*f = -5*i - 25. Sort f, 1\/8, -12.\nAnswer: -12, f, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -52 - 50 + 153 - 51 + 15*h. Let c(f) = -6*f**2. Calculate b(c(j)).\nAnswer: -90*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmfmmamfwlssss. What is prob of sequence fsa?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1037 and 7653046055.\nAnswer: 7653047092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 54928.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 3 + 12*d + 8 + 3*d**3 + 8*d**2. Let b(h) = h**3 + 3*h**2 + 4*h + 4. Let t be -2*(2\/(-6) - 77\/147*7). Calculate t*b(a) - 3*o(a).\nAnswer: -a**3 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/18*((-25680)\/320)\/107.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.8553 - 4.93. Let s = -5573.625649 + 5573.7. Let w = s + h. What is w rounded to 5 dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -25) + (4 - 19) + 4 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8457 + 50741\/6. Which is the fourth smallest value? (a) 2\/11 (b) 8\/15 (c) n (d) 2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x - 2*x + 3 + 6 - 5.\nAnswer: 3*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.45098 - 0.04902. What is the smallest value in -1, 7, -2\/7, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -193496 (base 10) to base 16.\nAnswer: -2f3d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 15. Let m be (-3)\/((-6)\/4*o). What is the third derivative of w**5 + w**m - 13*w**6 + 9*w**6 - w**5 wrt w?\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + 3*g**2 - g + 2. Let m be q(3). Is 7 a factor of -325*((-3)\/7 - m\/(-49))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from llvlllkkkp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (16 + -4 - 5) - 5) + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 b when three letters picked without replacement from {k: 1, s: 1, a: 2, y: 1, c: 3, b: 5}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1965 and -0.4.\nAnswer: -0.0786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**6\/15 + 3*d**5\/20 + 3*d**2 + 12. Let m(s) be the second derivative of t(s). What is the third derivative of m(a) wrt a?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -19665599.\nAnswer: -4\/19665599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -38, -90, -162, -254?\n\"Answer: -10*a**2 - 2*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/381)\/(4\/48) and (0 + -2)\/(((-3)\/58)\/(603\/(-1072))).\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -15\/4, -0.05, 21, -3\/7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.3, 1\/8, -3\/4, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667 + 159 = -30*f + 1172. Suppose 0 = -a + x, -a + 0*a = -4*x. Let r = f + a. What is the highest common divisor of r and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 634, 17 in increasing order.\nAnswer: 5, 17, 634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -7*x**4\/2 - 5*x**3\/3 + 5*x - 87. Let k(g) = 21*g**3 + 7*g**2 - 7. Calculate -5*k(l) - 7*z(l).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 99150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -91, 235\/6, 4, 1, 2, 5?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 23. Let v = -1 + 17. Let p be u(v). Let n(a) = a + 11. What is n(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 0*f + 0*f - f. Let y(h) = -h**2 + 5*h - 10. Let q(g) = 3*i(g) - y(g). What are the prime factors of q(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 212170*i**3 - 9*i**2 + 50*i - 103.\nAnswer: 1273020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/60)\/((-2)\/(-10))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -12.999999. Round z to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 56 = -5*w. Suppose 5*o - 16 = w. Let t be 3*o\/((-84)\/(-320)). Calculate the greatest common divisor of 32 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 1:55 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 6*s**2 + 11*s + 8. What is t(7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 10, -34, -1, -2.\nAnswer: -34, -4, -2, -1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1055 (base 9) to base 16.\nAnswer: 30b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0482 + -6.4918. Let p = 0.04 + h. Let t = p - -6.515. Round t to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(13) + (sqrt(13) + 1 + sqrt(13))**2 + 4 - (-1*sqrt(1300))**2) + 0) + -2.\nAnswer: -30*sqrt(13) + 7456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/4*8\/6. Suppose 5*n = 4*n + 21. Calculate the highest common factor of x and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304201 and 307044?\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-16)\/30)\/((-8)\/108)*(-31360)\/(-42) is divided by 1788.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 181 or 6?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 - 67.999866. What is p rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*x - 54*x + 105*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a + 176*a**4 - 10*a + 0 + 202*a**4 - 15*a - 6 wrt a.\nAnswer: 4536*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2890*q**5 - 556*q**2 - 478*q**2 + 1845*q**5 + 98*q**5 + 2791*q**5 wrt q.\nAnswer: 457440*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/6 + 1675\/(-134) + 7. Sort 0, 2, -100, b, 1 in decreasing order.\nAnswer: 2, 1, 0, b, -100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {i: 4, j: 2, b: 3, v: 1, g: 4}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = -4*d + 18, -10 = -2*d. Let k be (8 - 7)\/(o\/12). Suppose m = -m + k. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83923112?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5628 - 5626. Let m(z) = 10*z - 17. Determine m(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8616\/(-9) + (-2)\/3. Let r = b + 373. Let c = -365 - r. List the prime factors of c.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021050802 to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*y**4\/4 + 3795*y**3\/2 + 670735*y**2\/4 + 221035*y + 73395 = 0. What is y?\nAnswer: -63, -2\/3, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v**16*v))\/v*v*v\/((v\/(v*(v\/v**(2\/25))\/v))\/v*v)*v**10\/(v\/((v**(-1\/8)\/v)\/v)))**3 assuming v is positive.\nAnswer: v**(-4323\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 1 - 1)*(3*v - 15 + 15) + (3*v + v**2 - 3*v)*(2 + 1 - 2) - 19*v**2 - 2*v**2 + 11*v**2 to the form a*v + q*v**2 + i and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -37c29?\nAnswer: 37c2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 0. Suppose c*v = 8*v. Let w(r) = v*r - r - r. Let m(b) = b**2. Determine m(w(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 83037817 to the power of 1\/2, to the nearest integer?\nAnswer: 9113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/(-165))\/(4267\/(-1506)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -3, 1.\nAnswer: -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 275251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -51*n**2 - 2*n + 2. Give h(1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zziz when four letters picked without replacement from izzizizizizi?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*x - 0*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v - 282 = 0. Let m = v + 288. Calculate the greatest common divisor of m and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*z + 9*z = 427 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*d**2*k**3*x**2 - 47*d**2 - 2*k**3*x**2 - k**3*x + 62*k**2*x wrt d?\nAnswer: 14*d*k**3*x**2 - 94*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127 - -17. Suppose h = 3*v + n, 2*v + 144 = 5*v - 2*n. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5205, 10437, 15663, 20883, 26097, 31305?\nAnswer: 36507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-6)*((-343)\/(-35) - 6)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2042 - -2141. Solve 94 = -p + h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and (10\/25)\/((-218)\/110 - -2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 4166.6\nAnswer: -4166.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1204101 is divided by 10562?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25062*-0.2.\nAnswer: -5012.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-26)\/6 + 770\/(-66) + 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 11807?\nAnswer: -15\/11807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = x + 8. Sort -3, 1\/4, x, -2 in decreasing order.\nAnswer: x, 1\/4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 367985560*g**3 + 184423021*g wrt g.\nAnswer: 2207913360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2844854 at least as big as -2844854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -9. Suppose 0 = 3*z - 2*v - 16, 2*z + 21 = -2*v - 3*v. Let j = 0.1 - 0.1. Which is the second biggest value? (a) z (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8043 + 11640. Suppose 4*c + 5*p = a, p - 3587 = -4*c - 2*p. What are the prime factors of c?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**41\/(w**(2\/3))**(-30) assuming w is positive.\nAnswer: w**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -542626 - -542632. Let o be ((-6)\/4)\/(-3)*0. Suppose v = -g, 0*g + g + 4 = o. Solve -7*w - n = -v*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -484926230 rounded to the nearest one hundred thousand?\nAnswer: -484900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/36 - 18\/(-12)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66.125 + 0.125. Let g = h + 31. Let u = 23 + g. Which is smaller: u or 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(110))\/(sqrt(5) - 3*sqrt(80)))\/((sqrt(220)\/sqrt(4))\/sqrt(5) + (-1*sqrt(891) - sqrt(891) - sqrt(891))).\nAnswer: 3*sqrt(2)\/286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 + 12. Let f(x) = -67*x - 268. Let s be f(-4). Let j(d) be the third derivative of s + d**2 - 1\/6*d**3 + 0*d. What is -12*j(v) - m(v)?\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-2 - 3 - -5) + (4 - 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.063 + 0.977. Let c = a + -0.04. Let o = -3 + c. What is the nearest to 0.1 in -3, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (10 + 22) - -8 - (-2 + -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/78)\/(392\/(-294)))\/(391\/25024).\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 - 159*m**2 + 3127*m - 126. Calculate r(44).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 152*h**2 + 17. Let r(f) = -53*f**2 - 6. Let y(a) = 17*r(a) + 6*z(a). Let p(k) = 12*k**2. Give p(y(x)).\nAnswer: 1452*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 11*q - 15 = 13*o - 3*o + 4*o + 22*o - 4*q, 15 = 5*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224379265 divided by -8569.\nAnswer: -26185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -512 + 45*g + 255 + 253 as u + y*g and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9291.629 decades?\nAnswer: 1114995.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 3*u - 5*u + 1)*(-4*u + 3*u + 2*u) - 3*u**2 + 2*u**2 + 2*u**2 to h + p*u + o*u**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161150 and 10548.\nAnswer: 2900700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171964 and 31824?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5852062435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 776 - 143?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 1. Let x(j) = -5*j + 2. Let h be 4\/(54\/9 - 10). Calculate h*x(g) - 3*w(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + g + 5*g - 9*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1279 - 1270. Suppose -4*o - 10 = -58. Let n = o - -14. Calculate the remainder when n is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1256\/1029 + 87215\/3087. Let l be (-1199)\/(-63) - ((-372)\/42 + 8). Let b = l - f. Which is greater: b or -8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 87964*g. Let m(v) = -v**2. Calculate y(m(l)).\nAnswer: -87964*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14386\/321 + 16\/107. Let v = i + 44. Let a = -3.7 - -0.7. What is the second biggest value in a, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*7\/(-294) - 68\/(-273).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 197662120.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*w + 226 + 42 + 212 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -725203 - 1?\nAnswer: -725204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669 = -5*a + 2164. Suppose -13*g + 2262 = a. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894514 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 14*x**2 - 2*x - 16. Let i be z(-14). What is the highest common divisor of 96 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 + b**4 + 0*b**4)*(-3 + 0 - 11) - b**4 - b**4 + 3*b**4.\nAnswer: -27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufyfcfggguufgg. What is prob of picking 1 g and 1 c?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 10*b**2 - 5*b + 10. Let w be h(10). Let j = -29 - w. Suppose 0 = -j*i - 9983947 - 17516053. Round i to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = -1. Suppose r - 2 = d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 + i**2 + i - 2. Suppose 2*k = 3*k + 3*z + 13, -2*z = 10. Determine y(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**7\/189 + 2*l**6\/135 - l**5\/9 - 4*l**4\/27 + 11*l**3\/9 - 2*l**2 + 728*l. Solve p(s) = 0 for s.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1781*s = -1793*s - 108 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/((v**(-34)\/v)\/v)*v)\/v*v**(-40))**(-1\/12) assuming v is positive.\nAnswer: v**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 2*o**2. Let a be i(2). Suppose -2*v + a*v + 7 = 3*f, -v + 5*f + 10 = 0. Let k = 16 - -2. Solve v*t + 2 = -k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3200*v. Let r(p) = 83*p + 2. Calculate a(r(z)).\nAnswer: 265600*z + 6400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -27*i**2 - 12*i + 38. Let m(x) = 53*x**2 + 26*x - 75. Let j(f) = -9*g(f) - 4*m(f). What is the hundreds digit of j(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 14*c**2 + 14*c**2 + 0*c**2.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + sqrt(15)\/sqrt(5) + 0).\nAnswer: -3*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f + 156. Determine q(-11).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 h, and 1 k when four letters picked without replacement from kkzrkzkhkhkkkkzzzz?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 47*q**2 + 5*q - 5. Let f(s) = 23*s**2 + 2*s - 2. Determine -4*b(x) + 9*f(x).\nAnswer: 19*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55.33 - -55.33004366. Round o to 6 dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/4 (b) 13 (c) -215 (d) 0.5 (e) 2\/5 (f) -2\/7 (g) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n. Let x = -4 + 8. Let m(t) = -6*t + 7*t - x*t. Calculate m(p(z)).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -79*a**2. Let h(b) = -273167*b. Calculate m(h(y)).\nAnswer: -5894996581231*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13847?\nAnswer: 61, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-9) + (-60)\/117. Let z be 2 + -1 + 2\/1. Which is the second smallest value? (a) -2 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29714 + -29714.2. Suppose 2*a = 5*o - 10, -5*a - o = -a - 24. What is the closest to -1\/37 in 0.2, v, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**15\/(c*c\/(c*c**18*c)) assuming c is positive.\nAnswer: c**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -6.8. Let i = -4 - f. Let h = -0.2 + -2.8. What is the nearest to 0 in i, 0.4, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 11:11 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28*5)\/(-7 + 55\/11). Does 30 divide r\/(-7*(-5)\/385)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 2*s**3 - s**3)*(3 - 12*s**2 + 0 - 4).\nAnswer: 12*s**5 + s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -33*m**5 - 666*m**4 + 1332*m**3 + 264*m**2 = 0.\nAnswer: -22, -2\/11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (61\/(-2))\/(95\/(-380)*-2)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 6*l - 144. Let q be r(6). Which is greater: -6\/857 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 22. Let m = g + 7. Which is the biggest value? (a) m (b) 3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3314132, 3314111, 3314076, 3314027, 3313964?\n\"Answer: -7*z**2 + 3314139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Suppose -2*o + 24 = -u*o. Suppose 3*d + o = 0, z - 4*d - 29 = -5*d. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 112*q**2 + 95*q**2 + 114*q**2 - 431*q**2 + 109*q**2. Let h(n) = -1341*n**2. Give d(h(o)).\nAnswer: -1798281*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y + 4*p - 56 = 0, 0 = 4*p. Let x be 34\/70 + (-8)\/y. Let l be (-2)\/5 + 8\/(-5). Which is the closest to -1? (a) l (b) -3\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8670 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 33\/5 of a minute?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -c + 18, -10*p - 5*c = -12*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from zjjvzzzlhvjzhjlzzhl.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 3:51 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9\/65 - 49\/585. Which is the nearest to 1\/2? (a) u (b) 0.358 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/6466895 and 35\/34921233?\nAnswer: 174606165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6370? (a) -0.5 (b) -0.3 (c) -7 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c**5 + 45*c - 3. Let v(s) = -s**5 + s**2 + s + 1. Let m(l) = r(l) + 3*v(l). What is the second derivative of m(o) wrt o?\nAnswer: 80*o**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4569, 5068, 5893, 7038, 8497, 10264?\n\"Answer: -d**3 + 169*d**2 - d + 4402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2)*(4 + 2*n**2 - 4) + 4*n**2 - 5*n**2 + 2*n**2)*(183 + 406 - 113 + 322).\nAnswer: 3990*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 3 + -4 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 32970*s**2 - 21 - 22.\nAnswer: 32970*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -245 + 248. Let a(g) be the second derivative of 0*g**2 - 3*g + 0 - 2\/3*g**n. Let i(t) = -6*t**2. What is a(i(k))?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1665 + -1733. Which is smaller: -52 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.6403882 microseconds to hours.\nAnswer: 0.0000000015667745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10)*2*-10. Suppose -8*y + 6*y = -28. Suppose -3*t = -t - y. Solve t*f - 3*f = -g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72202 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d + 32*d + 2*d - 7*d.\nAnswer: 41*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 343530.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 3. Calculate y(16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7131, -7133, -7137, -7143?\n\"Answer: -k**2 + k - 7131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-3))\/((-1)\/5). Find the third derivative of -8*s - 4*s**f - 10*s**2 + 9*s - s wrt s.\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-1560)\/100) + 34\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 217\/5. What is the second smallest value in u, -2, 0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50 - 12?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -12*k - 4. Let t(p) = -p - 1. Give -r(i) + 2*t(i).\nAnswer: 10*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3128 minus 0.0495?\nAnswer: -3128.0495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8)*4)\/((-161)\/483)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1632)\/(-26520)*26\/12\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.176348 rounded to three dps?\nAnswer: -12.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 724 + -213. Find the third derivative of -8*l**4 - 5*l**2 - 511 - 6*l**4 + f wrt l.\nAnswer: -336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.49899 + -2.49829. Let i = 16 - b. What is i rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 2:32 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -192*d - 105. Let g be k(-30). Suppose 5*i = 20*i - g. List the prime factors of i.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 39*m**2 - 40*m**2 - m as u*m + b*m**2 + v and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -62\/7. What is the second smallest value in l, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 1436?\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0 = -2*y + 136, -3*z - 332 = -5*y. Let i be ((-16)\/y)\/(2\/(-6)). Factor -9\/8*j**3 - i*j**2 + 0 + 3\/8*j.\nAnswer: -3*j*(j + 1)*(3*j - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3202*v**3 + 63988*v**2\/13 + 38504*v\/13 + 48\/13 = 0.\nAnswer: -6\/13, -2\/1601, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(357))\/sqrt(7))\/sqrt(3))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**9\/756 - l**6\/72 - l**3\/3 - 2. Let p(i) be the third derivative of h(i). Find the third derivative of p(j) wrt j.\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 + 4*r**2 - 4*r**2 + 4*r as f*r + d*r**2 + s + k*r**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -84, -162, -242, -324, -408, -494?\n\"Answer: -l**2 - 75*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 10 = -5*i, 25*i - t + 6 = 28*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 4 (c) 1.5 (d) 1\/2 (e) 0.1 (f) 76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 36*d + 2728.\nAnswer: -4*(d - 22)*(d + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/15 + 15\/(-25)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5664*c**4 + 2 + 3 + 22 - 25 - 3 - c**4 + 3*c**4 + 0*c**4 + (5*c**3 - 4*c**3 + 0*c**3)*(4*c - 4*c + 2*c).\nAnswer: 5668*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*34\/24*3. Suppose -4*k + 3*w = -a, -w - 10 = -2*k + 8. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*b + 24 + 2*b - 3*b - 6*b to the form a*b + p and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 3*j**2 - 11*j + 4. Let c be n(7). Let q = c - 53. What is the greatest common factor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 468, 1901, 4296, 7659, 11996, 17313, 23616?\n\"Answer: m**3 + 475*m**2 + m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 0*f**2 + 1\/15*f**6 + 1\/12*f**4 + f + 0*f**3 + 0*f**5 + 0. Find the third derivative of r(j) wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*b - 11894 - 11905 + 23822.\nAnswer: -197*b + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 229 = o + 234, 2*b + 2*o = 18 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -5*d**2\/2 - 3*d - 781. Let n(w) = 9*w + 5. Let j be (-16)\/(-2)*(-3)\/4. Calculate j*n(b) - 10*f(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 345 = 3*f, o + 463 = 4*f + 6*o. What is the smallest common multiple of f and 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 316128 and 480.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*f + 465 = 94*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3310 (base 4) to base 13.\nAnswer: -15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122625 - -0.029?\nAnswer: 122625.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120 + -84. Let i = -5 + 9. Suppose i*r = 5*z + 36, -3*r + 4*z = 2*r - y. Solve -d + r = -n, 0 = d + n + n - 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-3 - -3 - -2) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g = 30*g + 24*g + 690 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 221 + -223.62. What is a rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1703 and 524?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 61 - 60 - (-3 + (1 - -1)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 - 3*d. Let a(g) = -2*g**2 + 4*g - 6. Let w(o) = -2*o**2 + 3*o - 5. Let f(x) = -5*a(x) + 6*w(x). Let z = -76 - -78. Calculate z*n(s) - 3*f(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/3 - 2*k**4\/3 - 4*k**3 - 4*k**2\/3 + 10*k\/3 + 2.\nAnswer: 2*(k - 3)*(k - 1)*(k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-1) - (3 + 11). Let q = 23 + f. Let g be (-2)\/q - 1780\/140. Which is bigger: g or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25435 + -25434.999972446. What is z rounded to 7 decimal places?\nAnswer: 0.0000276","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11058720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2)*-1)\/((-64)\/8704). Suppose 0 = 28*v - 44 - o. Solve -k + 2 = -v*u, 4*k - 4*u = 5*k + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103133222 times 0.3\nAnswer: 30939966.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (59\/(177\/(-2)))\/(5\/(-150))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 14*w - 14*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1744411\/3 + 576520. Let t = n - -5001. Let o = t + -50. What is the closest to -2\/7 in 2\/17, o, 1\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-5) + 345\/100 and 59\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10984, 43967, 98946, 175927, 274916, 395919, 538942?\nAnswer: 703991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4900)\/(-735))\/(5\/(-18)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240779\/(-3392) - (-16 - 55).\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.25 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.01 + 0.01. Put w, -70, 3, 0 in decreasing order.\nAnswer: 3, 0, w, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 5*g**4\/12 - 38*g**3 - g**2 + 83. Calculate the lowest common multiple of y(29) and 8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6828 + -90.3172. Which is the third smallest value? (a) f (b) 2 (c) -0.3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.13 - -12.53. Which is the biggest value? (a) 1 (b) 0.15 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 26032900756748.\nAnswer: 26032900756752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 238972843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-9))\/(-5) + 5\/15. Suppose v = -6*r + r + 51585860. Suppose -43117172 + r = 4*u. What is u rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**4 - 880759*n + 1473677 wrt n?\nAnswer: -4*n**3 - 880759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q - 48 + 148. Suppose -3*c = -o - q, 5*o - 3*c = -2*c + 20. Determine u, given that -32 + 2*u**2 - u**o + 13 + 4*u**3 + 17 - 3*u = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 - (-2 + 1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*q + 25, -3*c = -7*q + 4*q. Suppose -4 = -2*d - 4*m, -3*d - 6*m + m = -4. Let v = c + d. Does 3 = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.19 (c) -16\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1700) - (sqrt(1700) - sqrt(1700)*-2)) - (sqrt(204) - (sqrt(204)*-2 + sqrt(204) + sqrt(204))*-3)\/sqrt(12))**2.\nAnswer: 106097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from jtjiiijijijxijtit.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 251 = 5*a, 34*m - 69*m + 79 - 9 = -34*m - 43*a for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + 5 + 1 + 1. Suppose 3*m - a = 5. Let q be (-4)\/6 + 0 + 2. Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.297833 plus -380?\nAnswer: -270.702167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 902\/55 + 8 + (-2)\/5. What is the highest common divisor of 60 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 32. Suppose -i*b - 49 = 16. Are -0.1 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -b - 4*r - 40, -3*b - r = -94. Find f, given that f + 17*f**2 + 14*f**4 + 3*f - f**2 + 6*f**2 + b*f**3 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 37.57. Let f = 0.07 - x. Let v = f + 0.3. What is the smallest value in v, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4 - -2) + -11)\/(-1). Let b = 25 - i. Is 20\/3 + 4\/b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105592 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (296\/185)\/(3\/15)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 100 in -0.5, -4, 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 44 = 3*x - 4*x, -x = -4*u + 88. What is the greatest common divisor of 99 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 280 = 4*o. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*(-5 - -7))\/((-4)\/(-142)). What is the greatest common divisor of 781 and x?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 9:13 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000082889 rounded to seven decimal places?\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/((-27)\/11598))\/(-144). Let a = 110\/27 + k. Calculate the common denominator of a and 14\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/23994146 and -9\/452080.\nAnswer: 959765840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/152 and -59\/4?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1412*s + 51*s - 7104 = 26545 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + q - 2*q**5 + 3*q**5 + 0*q**5 + 0*q**5 + (0 + q + 0)*(q**4 - 2*q + 2*q).\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 970 and 1652686?\nAnswer: 8263430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13131300312 - 20223?\nAnswer: -13131321201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.390711 + -1.49788. Let k = -0.011 + -0.096. Let c = j - k. Round c to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38683, 5, 3.\nAnswer: 3, 5, 38683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 92091184 to the power of 1\/2, to the nearest integer?\nAnswer: 9596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2. Let g(r) be the second derivative of -2*r**3 - r**2\/2 + 19*r. What is z(g(p))?\nAnswer: 288*p**2 + 48*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14361 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(sqrt(325) + 1*(0 + sqrt(325)) + 1 + (sqrt(325) + 1 - sqrt(325))) + 1*(sqrt(325) - ((2 + sqrt(325) + sqrt(325) - sqrt(325)) + sqrt(325)))*5 + 0.\nAnswer: 1 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61813 is divided by 19396.\nAnswer: 3625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -0.06 (c) 0.2 (d) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3021 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 2) + (-1 - -6). Suppose 10 = s + h. Suppose -5*p - 4*f = -429, 4*p + 5*f - s*f - 344 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88940 - -4.\nAnswer: -88936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**2 + h. Let b be s(1). Let t be 24\/9 + 2\/b. Suppose a - 4*n - 7 = 11, 54 = t*a + n. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 812\/47 + -15713\/564. Let r be (141\/(-9) + 4)*(-13758)\/1617. Let d = r + -1105\/11. What is the common denominator of d and p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 3*g - 1. Let u be q(4). Let a(p) be the third derivative of -p**6\/120 - p**5\/12 + p**4\/12 + p**3 - 10*p**2. Give a(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.545983us in nanoseconds?\nAnswer: 6545.983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(88)*-1)\/(sqrt(350)\/((sqrt(7) + sqrt(21)\/sqrt(3) + sqrt(7))*3)).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-18) - 2072\/(-9). Let a = x - 85. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3681 - 3680.999988164. Round s to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1910 and -49\/212.\nAnswer: 202460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 23*k - 21. Calculate the remainder when 1006 is divided by p(-21).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.595 + 0.295. Let r = 1383 - 1396. Let i = r - f. Which is bigger: i or 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(84\/(-110)) + -1. Let z = n - -1\/42. Let k = -1.18 + 0.98. What is the nearest to 1 in z, k, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -550, 186455, 1?\nAnswer: 186455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from ngbfbbnbb?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 29 = 3*h, -4*h - 5 = 5*y + h. Let d = 8 + -4. Put y, d, -3 in decreasing order.\nAnswer: d, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/455*(-2 + 1))\/((-1)\/574)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10462 - 1?\nAnswer: 10461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/106 - 51\/1166. Which is the third biggest value? (a) o (b) -2\/5 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3 - 196*l**2 - 1122*l - 1656 = 0.\nAnswer: -92, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 0*k + k)*(-6*k**3 - 63*k**2 + 3 + 7*k**3 + 62*k**2 + 0*k**3 + 2*k**3 - 5*k**3 - k**3 - 2*k**3 + k**3 + (-2 - 2*k**2 + 2)*(0 + 0 + 2*k)).\nAnswer: 16*k**4 + 2*k**3 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*l - 61*l - 2*z - 22, 5*z + 5 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + o**2 - o. Let g be i(2). Let b(p) = p**3 - 11*p**2 + 10*p - 2. Let y be b(g). Which is smaller: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120200100020201 + -11?\nAnswer: -120200100020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3004\/6585 + 1883125\/292374. Let u = -3\/370 + w. Calculate the common denominator of -4\/5 and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/(-3) + 4\/(-6). Let k = -6 - g. Calculate the smallest common multiple of ((-42)\/(-49))\/(((-153)\/(-168))\/17) and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-936)\/(-1365))\/(6\/(-40)))\/(3\/(-21))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(80) - (sqrt(2000)*-1 + sqrt(20)))\/(sqrt(4) + sqrt(4) + -1*sqrt(4)*2 + sqrt(4) + (sqrt(4) - sqrt(44)\/sqrt(275))))**2.\nAnswer: 45125\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1850 * 0.4\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*c, 170*a - 13 = 174*a + 5*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -3.6, 4, -2\/5, 1373?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 10*m**2 + m**3 + 1 + 10*m**2 + 1. What is the units digit of o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 - 56. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -401 + 655. Are 2 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*q - 2*q - 288, h = 4*q - 569. What is the remainder when q is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2 + (-7)\/(-3)). Let s = 3 + u. Solve -3*h + 2*y - 6 = 0, y + s = -5*h + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1814*h*q*r**3 - 18*q*r + 2*q + 7*r**3 wrt h?\nAnswer: 1814*q*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**2 - 22*z - 2. Suppose -v + 9 = -4*v. Let j be ((-11)\/33)\/((-2)\/v)*22. Is r(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 464 - 461. Suppose 4*k = -2 - 10, -2*g - v*k - 25 = 0. Which is smaller: g or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 3110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 492 and 1956.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lloolol. What is prob of picking 2 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4151\/411405 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d - 122. Let k(m) = 2*m + 41. Let u(n) = -3*f(n) - 8*k(n). Give u(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let q(n) be the first derivative of -713*n**3\/3 + 284. Give q(d(u)).\nAnswer: -713*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*u**4 - 911*u**3 - 1651 wrt u?\nAnswer: 12*u**3 - 2733*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -13*(10\/25 + 21\/(-15)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2. Let p(w) = 1006*w. Calculate p(a(c)).\nAnswer: -2012*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318 is divided by 113?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4244 - 1861 + 1694 = 1359*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 n when four letters picked without replacement from nnljcnjnnjjjjj.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933740397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 4, 885, 1\/3, 2.9, -3 in descending order.\nAnswer: 885, 4, 2.9, 1, 1\/3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 d when four letters picked without replacement from {d: 3, o: 9, h: 7}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1011121 (base 3) to base 5\nAnswer: 11403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 141 = -5235. Let h = d - -1796. Suppose 0*y + 0 - 1\/4*y**2 + 1\/4*y**h + 0*y**3 = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -344\/5 + 69. What is the closest to v in 1\/4, 5, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -3*l - 107. Solve -2*w + 5*w + 4*p = -l, -4*w - p + 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29815 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -1. Let f be ((-9)\/(-15))\/((-6)\/s). Put f, -2\/9, 1\/5 in decreasing order.\nAnswer: 1\/5, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3559457 minus 0.902?\nAnswer: 3559456.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 114.7 in -0.07, 1\/3, -1\/2, -1.4, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -155 + 377. Let m = l - 157. Differentiate -85 + 23*i**3 - 64*i**3 + m with respect to i.\nAnswer: -123*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Let s(q) = -2*q. Let i(d) = -1. Suppose 33*f - 20 = 79. Determine f*i(v) + z*s(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2159 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 4. Let n be p(3). Let r = -31 - -60. Suppose -5*m + r = 2*g, -7 - 20 = -g - 5*m. Solve -n = u - 0*s + 3*s, -g*s - 16 = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/18*-3*(-10)\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 12 = 3*z. Suppose 0 = 3*u - z - 8. Suppose -231 = -7*v + u*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1036637 + -170?\nAnswer: -1037027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-16.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7250635?\nAnswer: 5, 7, 23, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/2954 and 83\/84.\nAnswer: 17724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0\/(-2) - (135 + -135))\/((-6)\/291)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 0*w**2 - 2*w**2 - 3*w**2. Let n(k) be the first derivative of k**2\/2 - 24. Give z(n(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5868303728 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iof when three letters picked without replacement from ooooofoooio?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*d = 129*d - 66050. What are the prime factors of d?\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*-6.7\nAnswer: -0.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2050895243 - 9233?\nAnswer: 2050886010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 15*n - 2628. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*z**6 - 48*z**6 - 29*z**5 + 22*z**2 - 116*z**2 + 25*z**6 wrt z.\nAnswer: 120*z**3 - 1740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 9:56 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -5*m**3 - 95*m**2 - 130*m + 680 = 0.\nAnswer: -17, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-25))\/(16\/30). Let y = 0.05 - -2.95. Let q = -4 + 4.1. Which is the closest to q? (a) h (b) y (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 - 811?\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -96, -0.3, 692?\nAnswer: 692","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*c - 34*c - 321*c - 162 + 162 to v*c + h and give v.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 130*u**2 + 922*u + 1849. What is a(-2)?\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34638673099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3 + 22*k**2 - 639*k + 3240 = 0.\nAnswer: -40, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8226 - -8226. What is the third biggest value in -0.2, 5, c, 35, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2 = 3*s, 3*s + 0*m - 1 = 4*m. Which is smaller: s or 1\/22?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 67 = 5*i + 6*l - 1, 5*l - 60 = 21*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166.4 + -156.4. What is the third smallest value in 3, h, -0.09?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8*g - 17500000 = 0. Round g to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i + 31*i = -8. Suppose i*y - 38 = -5*f, 9*f + 3*y - 37 = 4*f. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -10*s + 104. Which is the third smallest value? (a) 119 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30223121113 - 2001?\nAnswer: -30223123120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -290969785*h**3 - 333971253.\nAnswer: -872909355*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 31 = 275. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9419.\nAnswer: 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2, -3, -6, -11, -18, -27, -38?\n\"Answer: -d**2 + 2*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*n + 2)*(6 + 22 + 0)*(-4*n + 4*n - 4*n) to the form l*n + o*n**2 + v and give o.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, h: 2, q: 4, t: 5, z: 7, m: 1}. What is prob of picking 1 t and 2 z?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 5. Let i(b) = -b + 5. What is 3*i(g) + 2*x(g)?\nAnswer: g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/7 + -4 + (-3587)\/(-952))\/(-4 - -2).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nznznnnnnznznnnnnzz?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 8. Let h be g(-7). Let a = h - -2. Solve j = a*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 62\/(-6 + (3 - -5)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.06 times 30464\nAnswer: -62755.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(112530\/(-124))*(-15)\/6\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**3\/3 + 7*u**2\/2 + 2*u. Let n be v(-5). What are the prime factors of 4\/n*(-6)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(9)*-2))\/(sqrt(242) - ((sqrt(242) - (-1*sqrt(242) - sqrt(242)))*5 + sqrt(242))).\nAnswer: sqrt(2)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 b when three letters picked without replacement from {t: 12, b: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*l = -638, 5*j - 4*l = l + 1050. Suppose 5 = 12*t - j. Calculate the remainder when 139 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12735 + 13373. Suppose -3*u + 290 = 2*u. What is the highest common factor of u and x?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1573179 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16e5 (base 15) to base 6.\nAnswer: 34512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -474, -842, -1356, -2016?\nAnswer: -2822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 36 = 18*i. Let s be (i\/(-24)*2)\/(1\/6). Solve 5*l + 8 = -2*m + 1, -4*l - 4 = s*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -295016420 by 267710.\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b - 39. Let s be 3\/2 + b\/18. Let o be 328\/(-104) + (-18)\/((-24)\/4). Do s and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 1832 = -8*b. Suppose 5*n - b = -4*k + 859, 1333 = 3*k + 2*n. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*i**5\/11 - 1714*i**4\/11 + 1819252*i**3\/11 + 4099384*i**2\/11 + 2734196*i\/11 + 455770\/11 = 0. What is i?\nAnswer: -595, -1, -1\/4, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(153) + 1)*-3 - (-2*sqrt(2448) - (4*sqrt(85) + sqrt(85))\/sqrt(5)))**2.\nAnswer: 42*sqrt(17) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, 1, 24, 55, 94?\n\"Answer: 4*v**2 + 3*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2799944, 5600002, 8400060, 11200118, 14000176, 16800234?\n\"Answer: 2800058*l - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.3 (b) 39\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 232.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12178 or 12170?\nAnswer: 12178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863 is divided by 287.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645204?\nAnswer: 2, 11, 139, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4\/5 + 3*y**3 - 9*y**2\/5 - 27*y - 162\/5.\nAnswer: 3*(y - 3)*(y + 2)*(y + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*x + 60 = 0, 4*j - 5*x = -3*x - 30. Let y be -15*(-1)\/j*-3. Solve 5*d + 6 = y*b + 16, 2*d - 14 = -3*b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 71*u**2 + 1173*u - 124. Give y(45).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 4.5. Let t = f + -4. What is the closest to t in -1, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(3*4\/(-48)). Suppose c*d - 3 = 3*a, 2*d + 0*d = 0. Let g = 73.4 - 73. What is the closest to 2 in a, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 9 = -3*d, -2*r - 11 = -4*d + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -92*((-378)\/4)\/9. Suppose 0*l + l + 4*o = 206, r = 5*l + 4*o. Suppose -4*u = 3*p - 140, -l = -5*p + 4*u - 2*u. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (5 + -11)*-1. Suppose q + f + 11 = 0, q + 8 + 13 = 4*f. Sort 5, q, a, 0 in ascending order.\nAnswer: q, a, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 - -5) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.353 - -3.353. What is the closest to h in -3, 2, 1\/10, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 23*g + 52. Let m(u) = 3*u. Calculate j(m(n)).\nAnswer: 69*n + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161677521.\nAnswer: 3, 17964169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 15) to base 3.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -335587 times -0.44\nAnswer: 147658.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1184\/5 - -236. Put m, 1\/7, 1\/15 in ascending order.\nAnswer: m, 1\/15, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - 3*w**2 - w + 1. Let d be (0 - (-2 + 3))*12. Let f = 20 + d. Suppose 3*t = 2*x - f, 6 = 4*x + x - 4*t. Determine v(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1508 and 1276?\nAnswer: 16588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050402981?\nAnswer: 3, 61, 5739907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6036.974 + -6022. Let r = 37 - 52. Let b = r + l. What is b rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12310, -4795, 7732, 25271?\nAnswer: 47822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h + 2*j + 69, -3*h - 2*j + 183 = 0. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zosrmyyyrorrozo. Give prob of picking 1 m, 1 s, and 1 r.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9\/10 of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 93, -2.\nAnswer: -2, 2, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m = 0. Suppose m = x - 3 - 2. Suppose -1 = -u + x. Solve 3*t = 2*w + u, t - 2 = -w - 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a - 444 = -1236. What is the remainder when 725 is divided by a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(175) + 3 + (1 + 3*sqrt(448))**2.\nAnswer: 53*sqrt(7) + 4034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1246 + -1246.8. What is the closest to t in -3, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5\/5 + 7*t**3\/5 - 2*t**2\/5 - 12*t\/5 + 8\/5 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/44 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-14)*1 + (-4)\/(-14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12134079*s**3 - 18150006*s**2 wrt s.\nAnswer: 72804474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23689\/3 or 7897?\nAnswer: 7897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 8:39 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011001100 + -1011110?\nAnswer: 1110001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 44*m + 3. Let j(s) = 43*s + 2. Determine -3*j(r) + 2*l(r).\nAnswer: -41*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**5 + 106*c**3*q - 160*c**2*q + 5*c**2 - 7*c*q - c wrt c?\nAnswer: 240*c**2 + 636*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-8 - -1) + (-2)\/27*42?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99738, 99741, 99746, 99753, 99762, 99773?\nAnswer: 99786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134556153*i**5 + 1165764777*i.\nAnswer: 2691123060*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8271 by 919.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(80)\/sqrt(5) - sqrt(16))\/sqrt(8))**2 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 61*r - 5 + (4 - 2 + 0)*(-5*r + r + 3*r) - 3*r + 2*r + 0*r in the form h*r + s and give h.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 0 + 0\/2. Suppose -3*y + 5*y - 6 = q. Let j(n) = 11*n**3 - 3*n + n**3 + 4*n**2 - 13*n**3 + 4. Give j(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 14*t - 30. Suppose q + 0*q - t = 0. Let z = -26 + 27. What is the closest to -7 in q, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -13*l + l + 9*l. Let d(b) = 4*b. Calculate 4*d(j) + 6*z(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 131 - 106 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200191 is divided by 2600?\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = -7*a + 25*a + a. Solve 13*y - 10*y = -6, -a = 4*t + y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 308 (b) 0.09 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let b(o) be the third derivative of -713*o**4\/6 - 96*o**2 + 34. Calculate m(b(x)).\nAnswer: 2852*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 15*m - 117. Let w(f) = -2*f. What is w(r(u))?\nAnswer: -30*u + 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 5:38 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -0*t + 2*t - 7*r, -4*t = -14*r - 9*r + 27*r + 2 - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 111 + 71)*(4*u - 31*u + 12*u) to the form w*u + z and give w.\nAnswer: -2880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 11:02 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9275*t**6 - t**3 + 5*t**2 + 430*t - 5 wrt t?\nAnswer: 1113000*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5781.425 micrometers?\nAnswer: 0.005781425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/((sqrt(144)\/sqrt(3))\/sqrt(8)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c = -66 - 193 + 7 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -4*b - 8. Let c(z) = z**2 + 0*z**2 + 7*z + b*z**2 - 4*z**2 + 17. Let p be c(9). Let f(v) = 15*v + 1. Give f(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7 - 1 = 0, 3*q - 165 = 2*y. Suppose 2*l = -7 + q. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, and 1 a when three letters picked without replacement from iazqlzw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 14*a**2 + 2*a - 1. Let c be w(1). Suppose 5*v - c = -0*v. Suppose -4*x + 11 = v. Calculate the highest common divisor of x and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 15*c**2 + 6*c - 12. What is j(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -369.5 + -92.4. Let l = 462 + m. What is the third smallest value in 4\/11, -3, l, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 505*g**8\/28 - g**4\/6 - 8*g**3 + 633*g. Find the third derivative of s(i) wrt i.\nAnswer: 121200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32479.48 millimeters?\nAnswer: 32479480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9426 is divided by 4703.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 149, 212, 259, 278, 257, 184?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (652\/6)\/((-14)\/(-21)). Suppose l = -20*d + 21*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005659 to six dps.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2962 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 4*p + 2*p)*(-43*p**2 - 43*p**2 + 18*p**2 + (-3*p + 6*p - 2*p)*(2 - 2 - 2*p) + 6*p**2 - 5*p**2 - 5*p**2)*(-2 + 0 + 5).\nAnswer: 222*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 67894451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 15*i + 55, 4*i - 12*c - 4 = -16*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5232603.\nAnswer: 3, 151, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*x**2 + 2*x**2 + x**2)*(65 + 28 + 19).\nAnswer: 1680*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 4*j - 588. Let p = -34543\/14 + 2470. What is the common denominator of (j\/(-10)*1)\/4 and p?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 27*m + 6. Suppose 3*l - 11 = 61. Is 12 a factor of y(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282 divided by -6142.\nAnswer: 141\/3071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5742939 hours?\nAnswer: 2067458040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*(-320)\/224)\/(9\/(-36))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*k - 4 = 0, 3*k + 3 + 9 = 0. What is the second derivative of -o + 0*o + y*o**2 - 8*o**2 wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47\/(((-1)\/(-1))\/((-774)\/(-774))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -2, 1\/2, 5, -41?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -15*o + 27 - 47\/2*o**2. Let b be w(-5). What is the highest common factor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -336*r + 58*r + 1 - 3*r - 169*r - 236*r. Let g be (2\/5)\/((-1)\/5). Is m(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5567031 litres to millilitres.\nAnswer: 556.7031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -45 - -51 - (-1)\/(-1)*1. Solve -5*k = s*g, 3*g + 3*k - 12 = 4*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13841 - 13727. Solve 8*x - 82 = -r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7\/4)\/l*l*l*l*l**(-3\/11))\/((l*l*l**(-1\/11)*l)\/l*l**(3\/23)) assuming l is positive.\nAnswer: l**(-2087\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134070.063 rounded to the nearest 100?\nAnswer: 1134100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*n**2*r**3*z + n**2*r**2*z - 26*n**2*r**2 - 21*n*r**3*z - n*r*z - r**3*z + 2 wrt r?\nAnswer: -42*n**2*z - 126*n*z - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 6:29 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -0.1. Let s = 28.6 - 28. Let o = s + f. Are o and 0.1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76451457 + -1.70746.\nAnswer: -76451458.70746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 8:06 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*y**2 + 5*y + 607 with respect to y.\nAnswer: 100*y + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -739\/3645 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -18793*t + 93958. Give m(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 8 - 7*l + 8.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*t = l - 10, l - 16 = -3*t. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314055?\nAnswer: 3, 5, 7, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 82663 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {j: 8, c: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 4*n + 7. Let u be b(5). Suppose -18 = -4*t - t + j, 4*j = -t + u. Suppose x - 1 = -2*f + f, 4*f = -2*x - t. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 3*h**2 + 70*h**3 + 72*h**3 - 145*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzweyegyeyee. What is prob of picking 2 e and 2 g?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/69272 and 35\/677876.\nAnswer: 9490264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 11. Suppose 2*y - 92 = -5*s, -3*s + 3*y + 36 = -36. Suppose l*j - s = -j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*(32\/8)\/(616\/(-44)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y + 119 = -131 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((4\/(-22))\/(12\/(-33)))\/((-1)\/2). Sort 1, 3, 4, t.\nAnswer: t, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 9:34 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44, 70, 124, 212, 340, 514, 740, 1024?\n\"Answer: o**3 + 8*o**2 - 5*o + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - y**3 + 8*y**2 - 5*y**2 + 0*y**2. Let j be q(-2). Solve 2*n - j = 4*a, 5 = -n + 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32468628 to the nearest integer?\nAnswer: 5698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - s = 576, 9*x - 572 = 4*x - 3*s. Calculate the greatest common divisor of 23 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**4 + 5*d**4 + 2*d**2 - 23 - d + 25 in the form b*d**3 + i*d + v*d**4 + j + p*d**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*2\/(-4)*-1. Suppose 231*h = 240*h + 90. Let q be 2\/(-3)*(8 + h)*3. Sort -4, q, u in decreasing order.\nAnswer: q, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/49 and -55\/18466.\nAnswer: 129262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 132*c + 3. Let h be m(66). Solve 0 = 2*j - 2*l - 6, h*l = j - 2*l - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k**2. Let t(y) be the first derivative of -17*y**4\/24 + y**2\/2 - 13*y + 45. Let f(q) be the second derivative of t(q). What is f(u(m))?\nAnswer: 136*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 117399039 to the power of 1\/2, to the nearest integer?\nAnswer: 10835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 3 - 4)*(-6*z**4 - 11*z**4 - 9*z**4) to r*z**2 + h*z + f + q*z**3 + s*z**4 and give s.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41485 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 737927, 528 in decreasing order.\nAnswer: 737927, 528, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6936858.\nAnswer: 2, 3, 29, 97, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s - 9*s - 2*s)*(141 - 8 + 248)*(0*s + 2*s - 3*s + (2 + 3 - 3)*(2*s - 2*s + s) + 1 - 1 + 2*s + 4*s + 3*s - 2*s).\nAnswer: 3048*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - 35*c**2 - 632*c - 55. Calculate p(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**4 + 9*a**4 - 4*a**4)*(3*a - a + 0*a) - 26 + 26 - 3*a**5 + 3*a**5 + 3*a**5 + 0*a**5.\nAnswer: 19*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -10*o - 188. Let c be v(-19). Suppose -3*n = n + 12, 1276 = c*d - 2*n. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -83711*l + 1241. Let j(z) = z. Determine j(b(n)).\nAnswer: -83711*n + 1241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135807847?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -66595030 or -66595028?\nAnswer: -66595028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48250, 97302, 146354, 195406?\n\"Answer: 49052*q - 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*g**2 + 824 + 825 - 1649.\nAnswer: 105*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 s when three letters picked without replacement from wsnssnnnng.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-837)\/(-18))\/(-31))\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 + -101. Solve -3*j - 7 = -0*h + h, -12 = p*j - 3*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 882423920 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 + -135. Let z = -22.4 - -31. Let r = z - 9. Which is the biggest value? (a) r (b) 6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 8*j**2. Let s be v(8). Suppose 3 = o - s. Solve -4*d + o*d + 4 = z, 3*d + 5*z - 10 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*m, 3*m = -4*i - 2*m + 16. Suppose 19*h = i*h + 20. Factor 8\/7*l + 0 + 2\/7*l**h.\nAnswer: 2*l*(l + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 11:06 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48761003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3030762 is divided by 3030754.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (431 - 441) + -7 + 0 - -42.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 13333133?\nAnswer: -13333210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 5*y**2 + y + 7. Let j be t(-5). Factor -j - 2 - 2*r - r**2 + 3.\nAnswer: -(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 676.5 and -0.083722375?\nAnswer: 676.583722375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**2 - 36*v + 12688 = 0. What is v?\nAnswer: -61, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.855007 - 80.244187. Let w = 63.788 + h. Let x = w - -8.6. What is x rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeqeqee. What is prob of picking 1 q and 2 e?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 16*w - 102. What is the smallest common multiple of w and (-15)\/(-5)*(3 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 7 = 27. Suppose 3*f = -0*f + 6, -5*k = -3*f - p. Suppose k*h - 16 = -0*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 9:37 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*u**4 + 19*u**4 + 365*u**4)*(2 + 0 - 4)*(-5 - 8 - 13 + 4) to c + d*u**4 + j*u**2 + a*u**3 + o*u and give d.\nAnswer: 16412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4043 + 3.6897. Let x = k + -0.094. Which is the closest to -2\/3? (a) x (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t - 2. Let u(g) = g + 1. Let b = 77 - 71. Give b*u(l) + 3*m(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 7 = 2. Which is bigger: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4175501 divided by -2?\nAnswer: -4175501\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 2031*m**5\/4 - 3*m**4\/4 + 7*m**3\/6 - 4*m**2 - m. Let d be r(-8). Round d to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -29*o**5\/5 - 7*o**4\/4 - o**3 + o**2\/2 - 34*o - 5287. What is the second derivative of d(w) wrt w?\nAnswer: -348*w**2 - 42*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(144)*3.\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -1 - (-3 - (-12 + 4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37675.9 decades?\nAnswer: 376759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1256 divided by 357.\nAnswer: 1256\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**6 - 3*s**5\/5 - 3*s**4\/4 + 1. Factor o(k).\nAnswer: 3*k**3*(k - 1)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2851243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28, -42, -78, -148, -264?\n\"Answer: -2*f**3 + f**2 - 3*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5 + 0 + 0 + 2 + (-1 + 0 + 3)*(-3 + 7 - 3) + 1 - 2 + 2 - 2 + 5 - 2)*(-5*y - 6*y + 5*y).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 6*m + 2. Let o be k(-3). Let w = 17 - o. What is the greatest common factor of 12 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37275?\nAnswer: 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*v = 3920, 19*v = 4*i + 15*v - 3928. What are the prime factors of i?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i + 39*i - 80*i + 45*i. Determine n(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/11))\/(p*p**(1\/7)*p) assuming p is positive.\nAnswer: p**(-74\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2. Let h(i) = 6*i - 26*i + 1303*i**2 + 8*i + 12*i. Give h(q(b)).\nAnswer: 5212*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - -4)*(-6 - -2). Let p = -14 - l. Let d = p - 6. Solve 3*s = -4*g - 4 - d, 0 = 5*s + 3*g + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -14. Suppose 0 = 3*j - 2 - p. Find the second derivative of -3*n + 2*n - j*n**3 + n**3 wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -247*h**3*l**3*n - 5*h**2*l**3 - h**2*l*n - 3*l**3 + 2*l*n wrt h?\nAnswer: -1482*l**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - (13 + -4 + -9 + 5 + -9 + -4).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 117234, 117223, 117200, 117159, 117094?\n\"Answer: -b**3 - 4*b + 117239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u + 12. Calculate the remainder when 20 is divided by 0 - (-2 - 0) - u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 942 and 942.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-4 + (-12)\/(-4))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uovduvdvdvvdv. What is prob of sequence ud?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -14*v + 9595. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -9. Let p(a) = -3*a**3 - 6*a**2 + 8*a + 6. Let b be p(f). What is b rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3520*r + 17. Let i(v) = -241*v. Determine i(n(d)).\nAnswer: -848320*d - 4097","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 90*w + 5158. Let l be d(-57). Solve l*f - 380 = -48*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 791 + -791.0000407. What is u rounded to six dps?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*m - 86*m + 72 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110 + 119. Suppose r*z - 9 = -0*z. Solve 4*g + 5*l = -25, g - l - 3*l = -z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4344*j - 5*j**3 + 4*j**3 - 4839*j.\nAnswer: -j**3 - 495*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 381 - 2281\/6. Sort 37\/7, -0.4, h.\nAnswer: -0.4, h, 37\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16007 is divided by 3201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51053, 102095, 153123, 204131, 255113, 306063?\nAnswer: 356975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1794100 is divided by 199259?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*p - 53 = 0, -2*i = -3*p + 7*p - 102. What is the highest common factor of i and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1451, 1443, 1425, 1391, 1335, 1251, 1133, 975?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(5) + 5)*-2.\nAnswer: -6*sqrt(5) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r - 10. Suppose s + 3*v - 14 = -0*v, 9 = -3*v. Calculate the remainder when s is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Simplify (l\/l**21*l*l**(-17))\/(l**(-1\/13))**(-41) assuming l is positive.\nAnswer: l**(-509\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) 1.49 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/11 - -34\/33. Let z = 4 + -22\/5. Let h = 0.45 - 0.55. Which is the nearest to l? (a) -4 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.11 (b) -8 (c) -4\/7 (d) 5 (e) -5 (f) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -a58459 (base 11) in base 10?\nAnswer: -1694911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 30, 0.008, 1\/4, 0.09, 0.2, -1\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4647331 and 1859.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3309185?\nAnswer: 5, 11, 60167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.318 + -2.682. Suppose -20*m = 3 - 3. What is the closest to k in 0.2, m, 2\/17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + j + 6 = 0, -2*k + 10*j = 6*j + 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35135? (a) -5 (b) -2\/9 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15 + -15.85. Let s = i + 19. Let o = s + -3. Put 2\/23, o, -1 in increasing order.\nAnswer: -1, o, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 r when four letters picked without replacement from grrgggrgrgrggg.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -11100110?\nAnswer: -11101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 687\/23, -1.831.\nAnswer: -4, -1.831, 687\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 6 - 7)*(104*a + 156*a + 218*a - 124*a).\nAnswer: -1416*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 120 = -40. Suppose -4*m - 5*g = -o, -3*m = 2*g - 2 - 21. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6212 is divided by 50?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9294208 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 2385*a + 1229777. Determine w(754).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxx when three letters picked without replacement from {t: 2, m: 4, n: 3, x: 10}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 5:10 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1522 divided by -1.\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/5 + 42*d**3\/5 + 24*d**2 + 118*d\/5 + 39\/5.\nAnswer: (d + 1)**3*(d + 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39586.25335 - -0.18.\nAnswer: -39586.07335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 = -3*b. Suppose -3*h - h = -5*c - 166, 2*h - 68 = b*c. Let k = 79 + c. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -32216560?\nAnswer: -96649680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/6)\/((-8)\/12). Is -1\/43 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.7698 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -619*k + 1506975 = -594*k. List the prime factors of k.\nAnswer: 3, 71, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a + 42*a + 20*a)*(1 + 2 - 4)*(2*a**2 + 4 - 4).\nAnswer: -144*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 118, 200, 316, 478, 698, 988, 1360?\nAnswer: 1826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -51.843387 times 0.3\nAnswer: -15.5530161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 481209467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -57b6 - -b6?\nAnswer: -5700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075649321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**(2\/37)*p**(-15\/4)*p*p*p\/(p**(-2\/3)*p*p)*p**(-14) assuming p is positive.\nAnswer: p**(-6229\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423 and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480 divided by 47.\nAnswer: -480\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*198.\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -481 + 480.779. Let u = 0.079 - p. Which is the third smallest value? (a) -3 (b) u (c) 4.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 26*s**2. Suppose 2*y + 44 = 7*y - 3*u, -5*y - 3*u + 26 = 0. Let z(w) = -9*w - 3*w - y*w**2 + 12*w. Determine z(c(m)).\nAnswer: -4732*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 13*n = 0. Let f = 0.846 - 0.946. Which is the nearest to 0.1? (a) 5 (b) f (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35530?\nAnswer: 2, 5, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7685 and 53.\nAnswer: 7685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {z: 1, p: 3, c: 1, d: 4, b: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - r**2 + r - 1. Let l = 4 + 0. Suppose -5*z = -16 - l. Let w be 2\/z + (-1)\/2 + 0. Determine a(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.253 + -0.313. Let n = -0.06 - o. Suppose -6 = -d + 4*d, -d = -3*i - 10. Put i, 3, n in decreasing order.\nAnswer: 3, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5746531214 - 0.018?\nAnswer: -5746531214.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -168 + 2521\/15. Which is the smallest value? (a) 0.2 (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53052 is divided by 1076.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2095, 4455, 6815, 9175?\nAnswer: 11535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(72) + sqrt(30)\/sqrt(216))*-5*-6.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*n**2*s**2 + 2*n**2 - 21*n*s**2 - 2*n - 2*s**2 - 19792 wrt n?\nAnswer: 38*n*s**2 + 4*n - 21*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -173987, -347972, -521957, -695942, -869927?\n\"Answer: -173985*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 13, -4, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112513 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) -0.4 (c) 2\/85 (d) -1050\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 82?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r*r**23)\/r))\/r**(1\/4))\/(r*(((r\/r**(2\/15))\/r)\/r)\/r)**(-28) assuming r is positive.\nAnswer: r**(-3299\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 368928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 24, -3, -3196, 5, -5.\nAnswer: -3196, -5, -4, -3, -2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7399080 divided by 26520?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29385 and 1501900.\nAnswer: 13517100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 45276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*h**5 - 22\/3*h**3 + 128\/3*h - 52\/3*h**2 - 64\/3 + 8\/3*h**4 = 0. What is h?\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/55602 and 23\/278010.\nAnswer: 278010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*c - 226*c + 3 + 135*c**2 - 3.\nAnswer: 135*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1741 (base 13) to base 6\nAnswer: 23521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3120*f**5 - 35*f**2 + 478*f + 33*f**2 - 404*f wrt f?\nAnswer: 187200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g. Let i(n) = 9*n + 4. Suppose 149*r - 15 = 154*r. Let d(j) = -6 + 11*j + 9 - 3*j. Let h(o) = r*i(o) + 4*d(o). Determine h(u(t)).\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 1\/6*o**3 + 0 + 0*o**2 + 0*o**4 - o + 1\/5*o**5. Find the second derivative of k(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.233301 to three decimal places.\nAnswer: 0.233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -49*n - 434. What is x(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294199.\nAnswer: 294199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2446370080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x**2 - 2*x)*(-4*x + 2*x + 3*x) + (-1 + 2 + 2)*(-1 - 3 + 3)*(217*x**3 - 5*x**3 + 87*x**3) + 3*x**2 - 3*x**2 - 2*x**3.\nAnswer: -901*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3\/90*-3*-2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50179 or 0.1?\nAnswer: 50179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 4*y = 49, -62*r + 24*y - 29*y = -59*r - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**4\/42 - 324*a**3\/7 + 236196*a**2\/7 + 27*a - 25. Factor i(v).\nAnswer: 2*(v - 486)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 + 92. Let r = -10 + 14. Solve -h = i*l - 14, r*h = 3*l + 3 - 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 940725 - 1259?\nAnswer: 939466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1322+-3886779\nAnswer: -3888101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(15\/(-3))*-2. Solve -d = -3*m - t, -3*t = -3*m + 2*t + 34 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344 - 52 = -33*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-4)\/((-36)\/(-33))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32410 and 60?\nAnswer: 194460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3994 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/69 - -337\/138. Suppose 2*u + 26 = 5*u + 5*g, 2*u - g = 0. Which is bigger: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.26, -2\/3, -1037\/128 in descending order.\nAnswer: 0.26, -2\/3, -1037\/128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 h when three letters picked without replacement from heehehh?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1636 - -1635.147. Let u = -0.9312 - w. What is u rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(-2 + sqrt(7)) + 0 + sqrt(63).\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukknkkkkkpvnknuvcv. What is prob of picking 2 u?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35451288*y**4 + 15235053*y wrt y.\nAnswer: 425415456*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/60*-15)\/(2\/8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45296636 = -4*r - 5303364. What is r rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 4*o + 3. Let d be g(4). Suppose -5*x + 20 = -d*x. Calculate the greatest common factor of 50 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 6. Let m be f(-5). Let z = -130 + 130. Which is the nearest to z? (a) -0.3 (b) 0.07 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7945261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -265257.3 to the nearest one hundred.\nAnswer: -265300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 2*o**2 - 2*o + 6. Let t be l(0). Let x(y) be the first derivative of 35*y**2\/2 + y + 1. Is x(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192273248 and 2784.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5275\/11 - 480. What is the common denominator of l and -59\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(539) + sqrt(539) + -1)**2*-1.\nAnswer: -2157 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715411736?\nAnswer: 2, 13, 6878959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 5*q + 1, -7*a + 8*a + 2*q - 7 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66 or -67?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, g: 1, d: 1, i: 1, f: 1, z: 2}. Give prob of picking 1 d and 2 z.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 - 4027*h**3 + 4022*h**3 + 1.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 25*y + 32. Let o be c(26). Suppose -5*b + o*b = -5*z + 311, 0 = -5*b - 3*z + 1511. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 27. Suppose 3*l - 5*l = -o. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3*(-5)\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*f**3 + 54*f - 54*f + 2*f**3 - 2*f**3 - f**3 - 2*f + 2*f - 2*f**3 + (2*f**2 + f**2 - 4*f**2)*(3 + 2*f - 3) - 6*f**3 + f**3 + 4*f**3.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/35 - (-4750)\/350. Solve 0 = l*b - 18*b + 2*t - 2, 4*b = -3*t + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 43415 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**4\/12 - 5*w**3\/3 + 5*w**2\/2 + 4*w - 1. Let g(i) = -3*i - 2. Let d be g(2). What is the tens digit of a(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/60 - 7*w**4\/24 - 35*w**3\/6 + 89*w**2 + w. Let k be s(11). Solve -25*q + 28*q - k = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 61*w**2 - w - 58. Let n be (1701\/(-42))\/27 + (-119)\/2. Let k be o(n). Factor 0 - 2\/7*g - 32\/7*g**k + 16\/7*g**2.\nAnswer: -2*g*(4*g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 2*d**2 + 2*d + 2. Let z be l(2). Find the third derivative of 59*f**6 - 7*f**2 - 65*f**z - f**2 wrt f.\nAnswer: -720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/3 (b) 1125 (c) -2\/5 (d) 4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2438 and 3631617982.\nAnswer: 2438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6243 divided by 49\nAnswer: -6243\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 16. Let a = 17 + s. Let w(o) = -o + 10. Let d be w(8). Solve -2*i = d*i + a*g + 11, -3*i = 5*g + 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 26*n. Let h(o) = -21*o**2 - 412106*o. Give p(h(r)).\nAnswer: -546*r**2 - 10714756*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 122550672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 101*u + 106*u - 45, -2*g + u + 15 = 0. Solve -4 = -4*s + g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-70))\/(3\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15.57978us?\nAnswer: 0.00001557978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001937 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170183208 divided by 427596.\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98841 is divided by 9770.\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1 - -3) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - 40. Let t = 106 + r. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 3*p + 3. Let b be f(-4). Let d be 5 + (-6)\/(-2) - (-5 + 10). Let u be b\/d + (-16)\/(-24). Solve -5*g - 21 = -n, 5 = u*g - 4*g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.41399247 rounded to two decimal places?\nAnswer: 17.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + q - 5*d - 68 = 0, -2*q - 130 = 9*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19666177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w - 13. Is c(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178687593.\nAnswer: 3, 7, 67, 103, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 2)*(-d + 0*d + 5*d) + 824 - 824 + 117*d.\nAnswer: 129*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 351166560 by 96.\nAnswer: 3657985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 7261 + 1111 = 41*o. Calculate the least common multiple of 169 and o.\nAnswer: 3887","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**4 + j**3 + j**2 + j + 1. Let m(w) = -3*w**3 - 2*w**2 - w - 1. Let u = 5 + -3. Let z(v) = u*y(v) + 2*m(v). Determine b, given that z(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 24.021. Let g = -0.053 + d. Let y = 0.168 - g. What is the nearest to y in -0.2, 2\/3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760298 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: Solve 0 = 20*y - 29*y - 63 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjgoagglojjojbgljggg. Give prob of picking 1 g, 1 j, and 2 o.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 407*t**2 - 1403*t - 602. What is a(-200)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 - -88. Let o be 8\/(-3)*(39\/f - 4). Find the third derivative of -o*v**3 + 6*v**3 + 31*v**2 - 15*v**3 wrt v.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -76 + 88 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Let r(w) = -v + w**2 + 5 - 4. Give r(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:55 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/9 - (-2)\/3. Suppose -298 = -k*b + 70. Is b\/6 - 4\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -284 at least as big as -282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 k when three letters picked without replacement from {z: 1, q: 4, c: 3, k: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.51 - -0.01. Sort 8\/5, r, -5 in decreasing order.\nAnswer: 8\/5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - ((2 - 4) + -2). Suppose -t - 22 = -3*a + 2*j, 0 = -a - 4*j + 23. Suppose -13850 = p - a*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 - 5*v + 4. Let l(d) = -3*d**2 - 2*d + 2. Suppose 0 = -6785*x + 6778*x + 63. What is x*l(q) - 4*i(q)?\nAnswer: -7*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22273282, -22273283, -22273284, -22273285, -22273286, -22273287?\n\"Answer: -m - 22273281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x + 7801 = -5511. Let t = -133 - x. List the prime factors of t.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -4\/27*z**4 - 1\/108*z**6 + 0 - 4*z**2 + 4\/27*z**3 + 17\/270*z**5 + 0*z. Factor j(c).\nAnswer: -2*(c - 2)*(c - 1)*(5*c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86038874*s**2 - 125*s - 143853.\nAnswer: -172077748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -25. Let y(z) = -z**3 + z**2 + 3. Let p be y(v). Suppose -5*s = 5*j - 5, -7 = -5*s - p*j + 2. Solve -s*q - 5*l = -0*q - 12, -4*q = -4*l - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -21, -30, -37?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -59, -64, -73, -86?\n\"Answer: -2*r**2 + r - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4*(sqrt(1900)*-1 - sqrt(1900)) - -2*2*sqrt(1900)))**2 + sqrt(1900)*-2 + 1 + -2 + -4.\nAnswer: 140*sqrt(19) + 30399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and (-17 - (0 + 1))*12\/(-9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 2:49 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3598)\/(-210) - 17) + (-184)\/30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-10) + 129\/5. Let o = i - 16. Let u be -5*(-14)\/o*1. Is u less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 56 = -16. Is 36 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**3 + 1620*t**2 - 78580*t - 163680 = 0. What is t?\nAnswer: -2, 62, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3619, 3624, 3639, 3670, 3723, 3804?\nAnswer: 3919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c**5\/2 + 1045*c**4\/2 + 23249*c**3 + 265782*c**2 + 74052*c = 0 for c.\nAnswer: -66, -17, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 1:05 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (8 - 0 - (39 + -23))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4625 by -185.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-42)*48160\/(-215)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 + 0*v**5 + v**5 + (v**4 - 3 + 3)*(0 + 3*v + 0) + 9*v**5 - v**5 - 301*v**2 + 312*v**2 - v - v**5 - 2*v + 0*v**5.\nAnswer: 12*v**5 + 11*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + 45 + -41 - 21?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and 5.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 63694171 and 191082517\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 5*w**2 + 2*w + 7. Let n(m) = 12*m. Let g be n(1). Suppose -3*p = g, -2*j = 2*j + 3*p + 32. Determine a(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(7\/5)*a*a)*a*a*a*a)\/a*a)**(-1\/48)\/(a**18\/a**(-3)) assuming a is positive.\nAnswer: a**(-1681\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44942\/3 + 281966117\/18822. Is p equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 84\/(-9) - (-3)\/9. Let w = 2 + a. Calculate the smallest common multiple of w\/(-5) - (-18)\/(-45) and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7\/2 + -4)*(2 + -38).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9521987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2669, -10647, -23959, -42617, -66633, -96019, -130787?\n\"Answer: -2*z**3 - 2655*z**2 + z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -202212304200?\nAnswer: -202212304202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*((-1701700)\/(-280))\/187\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2 + 4498659*d + 8997314 = 0 for d.\nAnswer: -4498657, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1629? (a) 1\/2 (b) -0.5 (c) 4 (d) 0 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 - 2*h + 4. Let r(o) = -o**2 + o. Let i(a) = p(a) + 3*r(a). Suppose 5*x - 18 = 12. What is the remainder when i(-4) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 122729\/4, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 7:05 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2. Let y(m) = -14*m. Let q(b) = -b. Suppose 28 = 9*l - 8*l. Let z(w) = l*q(w) - y(w). Give d(z(p)).\nAnswer: -392*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 28 = -64. Suppose 5*r + 414 - 3323 = -2*f, -2*f - n = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76050*q**2 + 1473731*q wrt q?\nAnswer: 152100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288616 is divided by 4065?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**4\/10 + 22*p**3\/5 - 92*p**2\/5 + 24*p - 1001. Find h such that f(h) = 0.\nAnswer: 1, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 679*k. Let n(s) = 2*s. Determine g(n(x)).\nAnswer: 1358*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 29 - (-2 - (-2 - 4)\/3). Suppose -25*x = -a*x + 40612. Suppose x = 3*p - 632. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**2 - i - 2. Let f be y(-3). Let c = 39 - f. Suppose -k + c*u = -487, -2*k - u + 363 = -626. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 9) to base 2.\nAnswer: 100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*c - 46 = -2*c, -2*s - 4*c = -50. Suppose 0 = -4*z + 3*l - s, 3*z + z + 6 = -2*l. Let j = z - -3. Is j at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -136? (a) -204 (b) -358 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 9152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*((3 - 1 - 4)*(-41*i + 39*i + 85*i) + i - 3*i + 4*i) + 3*i + 2*i - 2*i + (-2*i - 2*i + 5*i)*(-1 - 1 + 1) to the form l*i + u and give l.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -24.3. Let t = -66\/5 + 68\/5. Put t, -3, q in decreasing order.\nAnswer: t, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389675 to the power of 1\/2, to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3278139557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 2, 4 - 2 = -x + g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-8))\/((7\/(-10))\/(-7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7878 (base 15) to base 3\nAnswer: 1022000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 522?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*r + 3*p - 2*p, 3*r - 25 = -2*p. Suppose -24 = -4*u + l - 6*l, -r*u - 5*l + 30 = 0. Differentiate -s**3 + 6*s - u*s - 2 with respect to s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -2*y + 8, 5*y = -3*u + 2 + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -273*d - 31093. Give f(-114).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_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: Convert 178559.5l to millilitres.\nAnswer: 178559500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/7 (b) 11 (c) 15426 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) + -2*(sqrt(1377) + (4*sqrt(1377) - sqrt(1377) - sqrt(1377)) + sqrt(1377))**2 + 0 + -4*4*sqrt(1377)*-2.\nAnswer: -44064 + 297*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5420254 is divided by 228?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43505920739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51781839 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10*c**2 + 50*c**2 - 12*c**2 - 13*c**2 - 22*c**2. Let r(g) = 3*g**2 + 87. What is b(r(m))?\nAnswer: -63*m**4 - 3654*m**2 - 52983","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 10. Let l be 3\/o*0 + 58. Suppose -3*j + 2*q = -68 - l, -5*j + q + 210 = 0. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 2:36 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151 + -107. Suppose -51 = -5*r + g. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832631.\nAnswer: 832631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*c - 53 = 71*c + 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462488224 to the power of 1\/2, to the nearest integer?\nAnswer: 38242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 2*v - 11. Suppose c + 5*x = 0, -4*c - 3*x + v = -0*c. What is the lowest common multiple of 7 and c?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) 0.1 (b) 2\/11 (c) 0.3 (d) -30\/349\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2401, 4756, 7039, 9214, 11245, 13096?\n\"Answer: -6*j**3 + 2397*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -35\/8*x**2 - 109 + 5\/4*x**3 - 15\/2*x. Factor g(j).\nAnswer: 5*(j - 3)*(3*j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -16 - (2 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 2, n: 1, r: 5}. Give prob of sequence xn.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/(s\/(s\/(s*s\/s**8)))*s**(-16) assuming s is positive.\nAnswer: s**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let x(u) = -43747*u. What is p(x(v))?\nAnswer: -43747*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 + 114 - (6 - (1 + -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -10 - 2. Suppose t = o - 13, r*o + 5*t - 61 = -0*t. Let d(v) = 5*v - 27. Calculate the remainder when d(o) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -6. Suppose 4*w = -x*h + 16, -5*w - 5 = -20. Let r(g) = 20*g**2 - g + 1. Let q be r(h). Solve 2*m + q = 6*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3833243857 and 6325.\nAnswer: 3833250182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -422 - -387. Which is the closest to 1? (a) 1\/5 (b) -3 (c) -0.1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/3 + 7*w**3\/6 + 7*w**2\/2 - w - 202. Let b(y) = 3*y**2 + 5*y + 5. What is -7*b(h) + 5*r(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 3*c**2 - 3*c - 3. Suppose 8 = 2*f + 2*m + 3*m, 4*f - 16 = -5*m. Let i be a(f). What is the units digit of (i - (-3 - -6))\/((-6)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-210)\/12)*-20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110001111001011 (base 2) in base 16?\nAnswer: e3cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 - (3 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -10. Let g be ((-1)\/3)\/((-2)\/(-6)). Let u be 2\/6*g*2. Sort j, 1\/3, u.\nAnswer: j, u, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Let b = 65 - 64.7. What is the closest to 0.1 in b, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 84150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30\/40*16\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, 58, 51 in increasing order.\nAnswer: 51, 58, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(10\/3))\/j)\/j*j*j\/(j\/j**6) assuming j is positive.\nAnswer: j**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 288104 and -0.282?\nAnswer: -81245.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147\/(-28) - (5 - (25 + -16)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/14))**2 assuming a is positive.\nAnswer: a**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 1, w: 3, y: 3, i: 1, a: 1}. Give prob of sequence ap.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 + 4 - 3*i**2 + 2*i**2 + 9*i**3 - 8*i**3 to c*i**2 + g*i**3 + a + x*i and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 3:58 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -73*t. Let n(b) = 1638861*b. Calculate v(n(a)).\nAnswer: -119636853*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/6)*k)\/(k\/(k*k**(1\/23))))\/(k**0*k*k*k**(-21)) assuming k is positive.\nAnswer: k**(2789\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yje when three letters picked without replacement from oeoooeoyoejjezoo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, 8, -7, 2, 3, -14, 1 in decreasing order.\nAnswer: 8, 3, 2, 1, -7, -14, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgwe when four letters picked without replacement from gwfggfgpwgfpggffeg.\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2)*g*(g**(-2\/3)*g)\/g)\/(g**(1\/2))**(4\/11) assuming g is positive.\nAnswer: g**(104\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 211*u**3 + 4235*u**2 - 8374059*u?\nAnswer: 1266*u + 8470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**6\/15 + 6*z**5\/5 + 7*z**4 + 44*z**3\/3 + 15*z**2 - 135*z - 7. Factor x(p).\nAnswer: -2*(p - 15)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*v - 13. Let r be 0\/(1*v\/3) + 65. What is the second derivative of -r*k**2 + 8*k**4 + 65*k**2 - 19*k wrt k?\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-700)\/21*(-3)\/6 - 3 and ((-10)\/6)\/(10\/25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 5*g + 172 = 0. Let k = 149 - g. Calculate the greatest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10297\/563 greater than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -370?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (5 - 2))\/(-3 - -2). Suppose -2*h + 2*z + 14 = z, -5*h + s*z + 34 = 0. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -17*c + 10*c - 3 + 6*c. Give y(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*m, -4*m + g + 3*g = 8. Let z be 8\/m + 6 + -6. Sort z, 3, 11.\nAnswer: z, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(280)*2*-6)\/(sqrt(60)\/(5*sqrt(486) - sqrt(6))).\nAnswer: -5280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 338a9 (base 12) to base 15\nAnswer: 15533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/214600 and 47\/643800.\nAnswer: 643800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 1618483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - f = -0*h + 8, 2*f = -4. Let y = -5 - h. Calculate the smallest common multiple of 1 and (0 + y + -2)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 226 or 1127\/5?\nAnswer: 1127\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 1\/60*r**5 + 2*r**2 - 1\/3*r**3 + 0 - 22*r + 1\/24*r**4. Let b(v) = v**2 + 4*v - 3. Let h be b(-5). Determine t(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8021790 divided by -4410.\nAnswer: -1819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 264. Calculate f(-39).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.172 + -1.18. Let q = -0.0222 + d. What is q rounded to three dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3604601 divided by 277.\nAnswer: 13013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + 7. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 53 - -149?\nAnswer: 19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*b - 24, n + 48 = -9*b + 4*b. Let j be (-21)\/63 + (-29)\/3. Is b at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a - 25. Let i(y) = -5*y - 12. Suppose -6*b + 33 = -17*b. Let l(r) = b*x(r) + 7*i(r). Let s(k) = k - 5. What is -6*l(m) + 11*s(m)?\nAnswer: 5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(-116 + 3*o - 2*o + 26).\nAnswer: -o + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1813 - 775 + 854 = 34*v for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q**5 + 3*q**5 + 2*q**5 + q**5 + q - q + (2*q**4 - 5*q**4 + 2*q**4)*(-q + 0*q + 0*q) + 5*q**5 - 5*q**5 - q**5.\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r - 5430 = -55*r - 3*i, 2*i + 9085 = 5*r. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1300 - 1297. Let m(i) be the first derivative of 1\/3*i**6 - i**2 - 4\/5*i**5 - 1 + 0*i + 0*i**4 + 4\/3*i**j. Find k such that m(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*8*(-6)\/(-168).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -58*g - 134. Give t(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 - 23*b + 22. Let s be a(1). Let w = 1 - -1. Suppose -18 + 2 = -w*d. What is the greatest common factor of d and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -85, -205, -377, -601, -877, -1205?\n\"Answer: -26*g**2 + 10*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4402*u + 12 + 4408*u + 1 to the form k + h*u and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 9*c - 24. Let l be 660\/(-40)*((-4)\/c)\/(-1). Which is bigger: l or -17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1855983\/21 - (-16)\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2630413.4 to the nearest ten thousand.\nAnswer: -2630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/3 + k**3\/3 + 8*k**2\/3 - 4*k = 0. What is k?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 15)*(0 + 4*g**2 + 0 + (-3 + 3 + 1)*(0*g**2 + g**2 - 2*g**2)).\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 334*o**2 - 26607*o - 82800.\nAnswer: (o - 69)*(o + 3)*(o + 400)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 3. Let z = 2 - 1. Calculate the remainder when y(5) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1255824 and 1589976?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -24*p**2 - 5*p + 2. Let n be b(3). Let o = -137 - n. What is the greatest common factor of o and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -504 - -20546?\nAnswer: 20042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/(-2))\/((-2)\/12). Suppose 2*f - m = -5*b, -5*b + 2*f + 35 = -3*f. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 8*c**2 + 8*c + 9. Let y be p(-7). Let o = 2 + y. Suppose -4*b + 5*g - 1 = -b, o*g = -3*b + 17. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 10:16 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c. Suppose -17 = -5*m + 13. Let j(x) = 11*x - 11*x - m*x. Calculate j(o(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 5.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -52522 at least as big as -52948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.191, -2, -0.4, 3, 0.06?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -780333\/23 or -33928?\nAnswer: -33928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*u + 43, -3 = 2*w - 4*u - 5. Suppose -3*g - 5*x + 18 = 0, 0 = 2*g - 4*x - 3 - w. Calculate the lowest common multiple of 22 and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*m - 47*m - 2*u - 42, 4*u = m - 33. Find the third derivative of 239*j**3 + m*j - 242*j**3 - 2*j**4 - j**2 + 84*j wrt j.\nAnswer: -48*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5 + 7. Let r(k) = 3*k**2 + 2*k + 3. List the prime factors of r(g).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6 (b) 1 (c) -274 (d) 0.4 (e) 0.041\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = -2*w. Let u be -1*(2 + -7 + w). Suppose -u*x + 2*p - p = -10, x + 5*p = 13. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 1 - 11)*(-3*p - 2*p + p)*(-3 + 5 + 0).\nAnswer: 184*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + 27 + -65 + 86.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*g = -2*a - 91, a + 3*g + 29 = 0. Let r be (0 + (-6)\/15)*a. Is 22\/3 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**5\/20 - 11*x**4\/6 + 33*x**2\/2 + x - 24. Differentiate f(i) with respect to i.\nAnswer: 3*i**2 - 44*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 32 = -4*h, h + 24 = 2*x + x. Suppose 11*y + x + 25 = 0. What is the nearest to 1 in -7, -2\/11, y?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j**2 - 4*j + 3*j - 6*j**3 + j wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.235 - 5969656536?\nAnswer: -5969656536.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23392420?\nAnswer: 2, 5, 19, 61559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -23*v + 1. Let j(o) = -11*o + 1. Suppose -2*a - 3 = 3*s + a, 0 = 5*s + 2*a + 11. What is s*k(c) + 5*j(c)?\nAnswer: 14*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-1 - (-2)\/3). Let w be (5 - 6) + 14\/6. Which is the second biggest value? (a) 3\/4 (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0181426583 - -0.018145. What is j rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {p: 7, f: 4, s: 2, q: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-152)\/(-4) - -2 - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by ((0 - 1)\/2)\/((-95)\/6840)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11051 (base 8) in base 5?\nAnswer: 122044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + 5. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4 - 2885*v**3 - 20233*v**2 - 31807*v - 14460 = 0. Calculate v.\nAnswer: -5, -1, 2892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 8*a**2 - 8*a - 4. Let u be o(6). What is the highest common divisor of u and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5 + 3 - t**2 + 3. Let n(u) be the second derivative of -5*u**4\/12 + 3*u**2\/2 - u. Let j(z) = n(z) - 3*o(z). Determine c so that j(c) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 647596 = -89990. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/1924023 or 1?\nAnswer: -29\/1924023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*c - 20, -2*c - 3 = 1. What is the units digit of 51\/(-2)*(-4)\/j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -8 (b) -3\/5 (c) -14 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*p - 4*v + 200, p = 2*v + 26. Suppose 2*g = -0*g - 5*x + 415, -x = 5. What are the prime factors of (18\/p)\/(2\/g)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 75662.8?\nAnswer: 756.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.650201 nanometers?\nAnswer: 0.002650201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.30281 + 25.32381. Let v = 0.021 - i. Let y = -18 - v. What is the smallest value in -0.1, -2\/11, y?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + w = 6 - 56, 5*i - w = -86. Let j(b) = -45*b - 26*b + 54*b - 5*b**2 + 4 + 4*b**2. Let k be j(i). Let m(d) = -d**3 + 5*d**2. Calculate m(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 6\/7 (b) -1\/15 (c) 3\/4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(104\/4 - 2) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 4 + 0*f**3 + 2*f**3 + 4.\nAnswer: 2*f**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i - 2 + 206*i + 3.\nAnswer: 180*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (-31 - (39 - 131)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 1*sqrt(1377)*1 + (1 + sqrt(1377) - sqrt(1377))*2 + -2*sqrt(1377) + 1 + 1 + sqrt(1377)*2 + -4 + -5)**2.\nAnswer: -180*sqrt(17) + 5533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -51.\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 432*w + 2341 + 251 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.621 - -1.621. What is the closest to -0.1 in z, 3, -37?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -9337, 3 in decreasing order.\nAnswer: 3, 2, -6, -9337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*g + 6*m - 15, 3*g - 2*m - 3 = 0. Suppose -o = g*o - 80. Find v such that o*v - 2*v**2 - 24*v + 6 - 8 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f. Let r(u) = 5*u + 11. Let g(o) = -r(o) + 4*w(o). Let s be g(-13). Factor 0*d + 0 - 1\/5*d**3 + 2\/5*d**s.\nAnswer: -d**2*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151364095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 24. Let i be o(0). Let t = i - -48. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113297 - -113295.65453. Round g to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 19. What is the nearest to 0.4 in y, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000 a factor of 390088000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 138 = 2*z + 2*z, -4*z - 3*i = -134. Suppose 0 = -6*k + k - 70. What is the tens digit of (-1 + -7)*z\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.2 - -0.2. Which is the second smallest value? (a) -2\/3 (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1615 (base 10) to base 9\nAnswer: -2184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -108*c. Let y(v) = -110*v. Give 6*f(t) - 5*y(t).\nAnswer: -98*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2305197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -534 - -849. What are the prime factors of n?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*j**4 - 122*j**4 - 20*j**4 + (j + j + 0*j)*(2*j + j**3 - 2*j) + 2*j**4 - 3*j**4 + 0*j**4 + 0*j**2 - 2*j**4 + 0*j**2.\nAnswer: -105*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**4*i*i**9)**(17\/4))**(-4))**(2\/101) assuming i is positive.\nAnswer: i**(-476\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -931 != -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34227 - 7408. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/16 + (-294)\/(-12). Calculate the greatest common factor of 2047 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence weg when three letters picked without replacement from {s: 1, l: 5, e: 2, g: 2, q: 2, w: 5}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z - 13 - 86 - 216 = 0 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/4 - 1)*-2. Let j = f + -5. Let o(q) = 2*q**3 - 2*q**2 - 2*q + 1. Let y be o(2). Solve -3*x + x = j*u + 16, x = y*u + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 2509, 87?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136600695 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1968.117 weeks in hours?\nAnswer: 330643.656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 12062*q + 108565. Determine u(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 39.24822ng?\nAnswer: 0.00000000000003924822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52642930\/2139 + -24611. Let u = j - 54905\/8556. Let l = -2\/843 - -59869\/6744. Calculate the common denominator of u and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhq when four letters picked without replacement from hhqh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31624322 to the power of 1\/2, to the nearest integer?\nAnswer: 5624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34049 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 63*g**2 + 24*g - 74. Does 16 divide i(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5622 - -5622. Solve -9 = 3*k, 4*g = -2*k - 22 - y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 2*n + 9. Calculate i(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1932, -1933, -1944, -1971, -2020, -2097, -2208, -2359?\nAnswer: -2556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*d + 6 = -0*d, 0 = -4*v - 5*d + 28. Factor -76*i**2 + 4 + 29*i**2 + 26*i**2 + 6*i + 23*i**v.\nAnswer: 2*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5248269787?\nAnswer: 1367, 3839261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*b - 19. Let a = -9 - -25. Suppose -10*l + a = -8*l. Solve 3*z = 4*f - l, -2*f - 4*z + b = 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r + 8. Let f be 2*(-2 + -1 + r) - -26617. Is f\/30 - (-1)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*n + 10*n + 2 - 13*n)*(3*n**2 + 2 - 2).\nAnswer: -42*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 7295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 84.80697 nanograms?\nAnswer: 0.00000008480697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.539262 to one dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478*v - 72976 = -975*v - 885*v + 18236 for v.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbsbbbmhhhm. Give prob of sequence sbm.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from dfuks.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34535, 137978, 310381, 551744, 862067, 1241350?\n\"Answer: 34480*l**2 + 3*l + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 186*((-2346)\/(-12540) - 4\/22). Let a = 30\/19 - h. Factor -3\/5*r + a - 6\/5*r**2 + 6\/5*r**3 - 3\/5*r**5 + 3\/5*r**4.\nAnswer: -3*(r - 1)**3*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 12:30 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 30 = 2*g, 37*g + 25 = 40*g + 2*k. Solve -y = -3*v - g, 2 = -3*y + 17 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (2 + -2 + 3 - (12 + (75 - 56))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 262 - 1045\/4. Which is the third biggest value? (a) -3 (b) j (c) 3 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -1, -5, 16, 60\/13 in ascending order.\nAnswer: -23, -5, -1, 60\/13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + (-7 - -3)\/2. Suppose 4*w - k*h - 545 = 0, -3*w = -5*w - 3*h + 267. Suppose 2*b + w = 361. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (85\/(-2312)*8)\/5?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 2*w**3\/3 + 8*w - 3. Let r(f) be the first derivative of -f**3\/3 - 5*f - 3. Give 5*n(z) + 8*r(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from emnnek.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 3*s - 6. Does 50 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-6)*(0 + -2). Let p be (-1)\/(4 - 4 - m\/(-5)). What is v in 19*v**4 + 32 - 6*v**2 - 20*v + p*v**3 - 12*v - 18*v**4 = 0?\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 40 = -5*d. Let w be (3 - 1 - 0) + -19. Let r = w + 27. Calculate the highest common factor of d and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 107 - 13*v**2 + 91 + 2*v**2 + 10*v**2 as m*v + z + c*v**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000012212120 (base 3) in base 11?\nAnswer: -1225375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81748, 81747, 81746, 81745?\nAnswer: 81744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -154*y**2 - 5\/21*y**3 - 3\/35*y**5 + 0*y - 4\/21*y**4 - 2\/105*y**6 + 0 - 1\/735*y**7. Factor f(q).\nAnswer: -2*(q + 1)**3*(q + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4122881 or 4122860?\nAnswer: 4122860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14297 and 7888.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 4. Let p = -966 - -670. Let q = p + 306. Determine l(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*(l\/l**(2\/5))\/l*l)*l\/l**(-2))\/(l**(1\/3))**(1\/3)*(l**8\/l**(1\/11))**14 assuming l is positive.\nAnswer: l**(55448\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1110 and -65\/666.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -47784344, -95568655, -143352966?\n\"Answer: -47784311*h - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*a - 98*a - 49*a - 175*a.\nAnswer: -515*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 168\/(-140) + (-1122)\/(-10). Let u = -96 + 175. Let q = b - u. Calculate the remainder when 92 is divided by q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*23\/(-621)*(-112)\/24?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111, -103, -89, -69?\n\"Answer: 3*p**2 - p - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.03435 seconds in nanoseconds?\nAnswer: 43034350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 470, -2, -87 in decreasing order.\nAnswer: 470, -2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-1 - -15 - 5) + (-26 - -18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, m: 5, c: 2, x: 1, k: 1}. Give prob of picking 2 c and 1 w.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzqzzzzz. Give prob of picking 1 q and 3 z.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/30)\/((-9)\/300). Is z less than or equal to -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2\/5 (c) 2 (d) -2855 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(28\/35*(-15)\/(-4)))\/((-6)\/(-1278))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/37 (b) 3 (c) 3\/2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*t + 27818 = 98169 + 98081. What are the prime factors of t?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/(-140)*10 - (96 - 0). What is the tens digit of n\/((2 + 20\/(-8))\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7542 = -1149*q - 20034 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-3 + 2)\/((-4)\/124)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15554 = 19*l - 2786. Let r be (-2)\/5 + l\/(-30). What is the highest common divisor of r and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 10*v**2 - 172*v + 193. Give a(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - l + 2. Let n(m) be the first derivative of m**2\/2 + 535. Let v(s) = 6*s + 1. Calculate l*v(a) + 4*n(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*y = -38546567 + 6056167. What is y rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:47 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-64))\/((-2)\/8)*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*o = -34, 0 = -r + 2*o + o. Suppose l = 2*l + r. Let w = l + 9. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/14*-1 - (-1464)\/(-11130). Which is the third smallest value? (a) v (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 c when four letters picked without replacement from cbcccbbchbclcclbhb?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n + 38. Calculate b(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 2*z + 6. Let h be l(-3). Let q be -42*((-24)\/h)\/4. Let d = -3 - -17. What is the greatest common factor of d and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 93*s**2 + 1138*s - 3748. Determine x(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(((-66)\/(-72))\/11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 4*j - 14 - 2*j - 6*j + j. Let d be v(-9). Let k(q) = -q**2 - 11*q - 8. Let l be k(-7). What is the greatest common divisor of d and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*sqrt(192)*1 + 2.\nAnswer: -32*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2 + -7 + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 45\/621496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 4:38 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -353 + 682. Suppose 3*t - w - 332 = -0*t, -3*t + 4*w + c = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 11) to base 9\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-944)\/590)\/((2\/(-6))\/((-10)\/(-4)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12870 divided by 858?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -3*m - 10, -c + 30 = 12338*m - 12343*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1254 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**2\/2 + 3*y + 1. Suppose -38*k - 4114 = -86. Let i = -113 - k. Calculate n(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - -37. Let o be (-4 - (-2 + -1))*-265. Suppose j - u = 5*y, -3*j + 0*j + 2*y = -o. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*4)\/((-16)\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12460*t**3 - 13534*t**2 + 13534*t**2 - 2.\nAnswer: -12460*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 7:34 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1432224520.\nAnswer: 2, 5, 35805613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5406406.548 rounded to the nearest 100000?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-33) + 4977\/869?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + o**2 - 21 - 50*o**2 + 21 + (0*o - 2*o + o)*(4 - 2*o - 4) + 2*o + o**2 - 2*o.\nAnswer: -46*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - j - 26 = 0, -1 = 3*j + 5. Suppose -h*t + 25 = -3*t. Suppose -t*q - i + 25 = 0, -q + 6*q - 2*i = 25. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = -2. Let j be (r - 1) + 5\/(-5). What is j rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 4 (c) 0.5 (d) -135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 414445357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -366 or -761?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-12)\/(-8))\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3262, -3268, -3280, -3298, -3322, -3352, -3388?\n\"Answer: -3*p**2 + 3*p - 3262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3153672 divided by 394209.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 16 = -6*q, 4*g + 15*q - 10*q = -15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.21 + -4.89. Let p = 6.058 + s. Let k = p - 3.958. What is the smallest value in -1.4, k, 2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29999 + -29989. Suppose -x + 7 = 1. Solve -13*z - x = -b*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + 2.6. Put h, 3, -2\/19, -4 in decreasing order.\nAnswer: 3, h, -2\/19, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*o**5 - 5*o**2 - 5*o**5 - 7*o**6 wrt o?\nAnswer: -840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)\/m*(m**(-3)\/m)\/m)**22 assuming m is positive.\nAnswer: m**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**1\/o*o**(-4\/7)*(o*o**(2\/5))\/o**(1\/2) assuming o is positive.\nAnswer: o**(23\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103*0.5.\nAnswer: -51.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence momm when four letters picked without replacement from mggmgoommgogmomgmmmm?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9704)\/6*(-9)\/(-6). Let o be 1 - (-1 + (-4854)\/d). Let z = o + -25451\/26686. Calculate the common denominator of 83\/16 and z.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -627 + 7?\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.7 + -7. What is the third smallest value in 2\/7, 8\/5, l?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -20*i + 101. Let p be k(5). Suppose 3*f - 5*a + p - 13 = 0, -5*a = 0. Solve 0 = -2*w - 3*b + 8, -29 = 2*w - f*b - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 + 6 + 1661 + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*k - 953 + 1375 = -2542 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 14*k - 36. Let d be l(9). What is the highest common divisor of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30839492 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -63622?\nAnswer: 63614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 19 = -4*q + 17, 0 = 2*q - 3*p - 4. Let d(z) = z + 2. Let c be d(4). Let g(k) = k + 1. Let j be g(c). Which is bigger: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x. Let u be (-2 + (-4 - -4))*2. What is n(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/26 in -0.2, -2\/7, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i - 2. Let y(m) be the third derivative of -m**5\/12 - 5*m**4\/12 - 23*m**2 + 16*m + 2. What is y(o(d))?\nAnswer: -245*d**2 - 70*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -36043712200 to the nearest 1000000.\nAnswer: -36044000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - (-5 + 4 + 0). Suppose -294 = -11*x + s*x. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 55?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 110\/25 + (-4)\/10. Let v be (-52)\/(-18) + -5*(-3)\/135. Solve -v = h*i + 5*p, i + 4*p + 3 = 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 10:36 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/4)\/(1\/2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 5. Let f = p - 7. Solve -f = -q + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13616358 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7496 + 7466. Sort -3, 0.3, m, -0.1, -5.\nAnswer: m, -5, -3, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5734551 is divided by 634?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*(-3 + 161\/56). Which is bigger: -2\/41 or a?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58414991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + r - 7. Let k = -28 - -35. Suppose 0 = -k*x - 26 - 16. What is f(x)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, w: 1, o: 5, q: 8}. What is prob of sequence woo?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 7. Let s(y) = y**3 - y**2 - 2*y + 3. Let n be s(t). Suppose 8*j - n*j - 35 = 0. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = -16. Let k = -1.4 - -1.5. What is the closest to -0.1 in g, -2\/11, k?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/((z*z**(-6\/7))\/z)*z)*z)\/(z\/(z\/(z**(-1\/26)*z)))*z**(-10)*z\/(((z\/(z\/z**(-4)))\/z)\/z)*z)**(20\/7) assuming z is positive.\nAnswer: z**(-6950\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(28 + -18)*1*-5 - 1416\/282\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 1)*(-1 + 1 + 1) + 3 + 2 - 3)*(-p + p + p)*(-37 + 37 + 14*p).\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*i**2 - 233*i**2 + 2*i**3 + 230*i**2.\nAnswer: 2*i**3 - 399*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)\/sqrt(36))\/(-2*sqrt(567)) - (-1 + sqrt(21)\/sqrt(3)*-2)*-4)**2.\nAnswer: 1732*sqrt(7)\/27 + 1359079\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*m - 2*m - 2*m)*(3 + 1 - 16)*(-1 - 1 + 1) to k*m + n and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -24 + (-3 - (-20 + 2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -179722\nAnswer: -15\/89861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 222?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + m**2 + m + 35. Suppose -3*y = -w + 35, 4*w - 109*y + 110*y - 75 = 0. Calculate the remainder when s(0) is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**18)**49*(l\/((l\/(l**(-6\/7)\/l))\/l))**27)**19 assuming l is positive.\nAnswer: l**(114228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(396) + -1 + sqrt(396)) + ((sqrt(1100) + 0 + -3)**2 - sqrt(1100)).\nAnswer: -46*sqrt(11) + 1107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1081*d**2. Let q(p) = -2*p**2. What is i(q(n))?\nAnswer: 4324*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35855*t - 11950*t - 11955*t - 11954*t + 929 + 669 to the form r*t + s and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -5, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-6)\/(4 - 1). Suppose 2*v + t*f = 6, 0 = -2*v + 4*f - f + 6. Solve -3*x - v*h + 10 = 4, 2*h = 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wowwwwwkwwwkwttw. Give prob of picking 3 w and 1 o.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-162)\/163 + -2. Let d = m + -493\/652. Which is the nearest to -1? (a) d (b) 4 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4)*u)\/u**(6\/5))\/((u\/u**(-2\/5))\/u*u*u*u\/u**(1\/5)) assuming u is positive.\nAnswer: u**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 = -41*t + 1082. Is 18 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 11. Let o(l) = 5*l - 43. Determine 9*f(t) - 2*o(t).\nAnswer: -t - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -306 divided by -6\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 86 = -40. Let m be 1\/2*(-4 + 10). Suppose 0 = -5*w - p + 400, -w - m*p + 35 = -31. What is the remainder when w is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -176195, -1409499, -4757035, -11275919, -22023267?\n\"Answer: -176186*g**3 - 2*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 0 - 14*p)*(-8*p - 14*p + 13*p) to a*p + u*p**2 + n and give u.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146\/63 - 26\/9. Let n = u - -19\/21. Sort 1, n, -5.\nAnswer: -5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 396280302 divided by -2\nAnswer: -198140151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h = 0. Suppose -4*z + h*t + 42 = -t, 3*z - 43 = -5*t. Let f = z - 12. Which is the closest to -2? (a) -0.3 (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u**(-2\/33)*u)\/u*(((u**(-3)\/u)\/u)\/u)\/u*((u**1\/u)\/u*u)\/u**(2\/3) assuming u is positive.\nAnswer: u**(-74\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + d - 2*d + 14, -14 = 4*g + d. List the prime factors of 2\/g*(-42 - 2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 divided by 81961\nAnswer: 91\/81961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and -134053.45?\nAnswer: 16086.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 34*a = -33*a - 96, 93 = 3*k + 2*a. Calculate the greatest common factor of k and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 2. Suppose -j*z + r + 27 = 0, 2*r = -2*z - 3*r. Suppose 5*h - 3*t = -174985, 1643 = 2*h - z*t + 71618. Round h to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4)*-3)\/((-88)\/((-402688)\/132))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 12:39 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 2 + -2)\/(36\/24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*y - 54*y = -3*d + 67813, 3*y = 3*d - 67815. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 2, -121, 40, 3 in decreasing order.\nAnswer: 40, 3, 2, 0, -5, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 9:33 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 = b, 7*b + 10 = 2*b. Let r = d - 11. Sort r, -17, 2.\nAnswer: -17, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x. Let r(l) = l**2 - 91*l. Let j(o) = -3*o. Let q(f) = -2*j(f) + r(f). Give q(u(v)).\nAnswer: 25*v**2 + 425*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/12)\/((-55)\/4180). Solve 0 = -5*b - g - 23, d*g = -b + 15*g - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*y = -310*y + 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d + 5. Let h be d\/(-6)*9\/60. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -5, -12, 5 in decreasing order.\nAnswer: 5, 3, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*b + 0*b - b)*(-b**2 - b**2 + 3*b**2) + 64*b + 3*b**3 - b**2 - 31*b - 35*b to n*b**2 + u*b**3 + s*b + d and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y + 2*y)*(13*y + 27*y - y).\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3902639620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2234 is divided by 137?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -23*o - 3. Let f be q(-1). Let b be 3 + -3 + 3\/1. Solve f = -y - b*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(-465)*(-30)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 169411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94880\/(-4151)*(-7)\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60, 28, -54, -210, -464, -840, -1362?\n\"Answer: -4*j**3 - j**2 - j + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17057 = -i + 3*a - 8*a, i - 3*a = -17017. Is (370\/(-50) - -8) + i\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 1:14 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -282 + 1091\/4. Suppose 41*t - 46*t = -10. Find the common denominator of -4 - ((-113)\/20 - t) and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. What is the derivative of -2 + i**2 + 5 + z wrt i?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 15, -t - t + 4*m + 36 = 0. Let k = -13 - -18. Suppose -3*q - 46 = -k*n + q, -34 = -5*n + q. Solve -5*l - n = -3*u - 2*l, 4*l = t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 183 - 688. What is l rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4\/19, -0.5, 0.5 in decreasing order.\nAnswer: 0.5, 4\/19, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2913 + -51.5.\nAnswer: -51.2087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 25454492 divided by 4\nAnswer: 6363623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2479092 and 4158?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jly when three letters picked without replacement from {j: 1, y: 4, l: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4123420112 (base 5) to base 8.\nAnswer: 40075300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6891218979.\nAnswer: 3, 197, 11660269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 9*k + 12. Let a(b) = -4*b - 2. Let j be a(-3). What is the units digit of c(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13510589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*2*-1 + (sqrt(2940)*2)\/sqrt(12).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:33 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 45. Let o(j) = 4 - 1 + 4*j - 3*j + 0. Let p(k) = 2*k + 7. Give d*o(t) + 4*p(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1670196)\/(-33891) - 49) + (-12)\/52)\/(-2).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-63634848)\/6060)\/((-4)\/14 - (-4)\/(-35)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -77, -2\/209, 0.1, 0, -197?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (201 - 201) + 9*43 + 0 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*r = 289*r - 11845 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -98, -77, -36, 31?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1080*w**2 + 4*w - 3. Let c be q(4). Let j = -649\/892109 + 1817605255907\/105268862. Let m = c + j. Calculate the common denominator of m and 7\/18.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 13*u**5\/4 - u**4\/12 - 5*u**3\/6 - 21*u**2\/2 + 6361*u. Let b(o) = 13*o**3 - o - 4. Determine -11*b(c) + 2*s(c).\nAnswer: -13*c**3 - 2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22343, -22326, -22297, -22256?\n\"Answer: 6*m**2 - m - 22348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2196 = -117*s - 1260 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.00634 and -0.1.\nAnswer: -0.000634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 760*v + 1354500.\nAnswer: -5*(v - 602)*(v + 450)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*z**2 + 171*z**2 + 411*z**2 + 653*z**2.\nAnswer: 1684*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4 - 1752080*o**3 - 17520598*o**2 + 1752080*o + 17520600 = 0.\nAnswer: -876030, -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339460 is divided by 853?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j + 1 = 2*g, 2*g + 6 = 0. Let q(n) = n**3 + 10*n**2 + 7*n + 8. Is q(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100.1 + 92.08. Let s = g + 8. Are s and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12767 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 34*a - 40*a + 17*a as i*a + v and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from effffwwweefeffffwfe. Give prob of sequence weew.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2232 - -2233. Let u = -21.45 + 21. Let g = 0.15 + u. Sort -1\/10, d, g, -1 in ascending order.\nAnswer: -1, g, -1\/10, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - -1*sqrt(156)*-6)*-3)\/(sqrt(768)*1 - ((sqrt(132)*-1)\/sqrt(11) - sqrt(12))).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = -5*m - 5, 2*b - 5*m - 15 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 17 (c) 7 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*9985.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003116619096 rounded to six dps?\nAnswer: 0.000312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -31*p. Let o(j) = 498*j. What is 66*h(v) + 4*o(v)?\nAnswer: -54*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341051314 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 6*n + 3. Let c(g) = -g + 1. Let f(o) = -o + 1. Let j be f(2). Suppose 241*b - 228*b = 65. Give b*c(h) + j*l(h).\nAnswer: h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*f + 18 = 2*f, 2*f = -6. Let a = 19 + s. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272434 is divided by 438?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.189 rounded to the nearest integer?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1*(-63)\/(-84)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -352*k + 92582. Calculate z(263).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6936274.\nAnswer: 2, 71, 48847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3128.7 (b) -1\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2145?\nAnswer: 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = q + 3*q. Suppose 0 = -q*o + y + 1727, 2*y - 6*y + 1281 = 3*o. Suppose 0 = 3*d + 9, -7*u + 2*d + o = -2*u. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 475 - 473. Suppose -8 - 746 = -g*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5288376?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -41. Suppose 0 = 4*g + l - 18, 5*g - 11 = 4*g + a*l. Solve 2*s - 1 = -g*m, s - 2*m + 0 + 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/503947?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 6*s**3)*(s - 2*s + 3*s) - 1917*s**2 - 2*s - 3*s**4 + s**3 + 1917*s**2.\nAnswer: -15*s**4 + s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -112059 and 0.3.\nAnswer: -33617.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58.398 and 5.\nAnswer: -291.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 27 - 1)*(0 + 0 - 2*n) + n - 2*n - 3*n + (-2 + 1 + 0)*(-2 + 2 + 5*n).\nAnswer: 71*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 5:47 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*(x\/(x**(1\/3)*x))\/x)**(2\/5)*x\/x**5*x*x**(-1\/9) assuming x is positive.\nAnswer: x**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -19*t - 41. Let o be f(-3). Solve -5*y = -y + o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**2 - 9*n - 5. Let q be v(-7). Suppose 0*d = 3*a + d - 19, q*d - 40 = -4*a. Solve -5*z + 0*z - a = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 29*v = 24*v + 35508, 2*w - 8894 = 3*v. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*h + 77*h = 750. Let o(q) = 75*q - h*q - 5*q**2 + 12*q**2. Let i(g) = -5*g. Calculate i(o(r)).\nAnswer: -35*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00983768 to four dps.\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**0\/o))\/o*o)\/o*o\/o**1*(o**(2\/5))**(-7\/2)*((o**(-1\/3)\/o)\/o)**(24\/7)\/(o**(1\/6)*o*o**(-1\/2)*o) assuming o is positive.\nAnswer: o**(-166\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, 35, 128, 311, 614, 1067?\n\"Answer: 5*h**3 - 2*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 419747*c + 352912?\nAnswer: 419747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 2*z**2 + 12*z - 9. Let h be f(-5). Solve 6 = -4*q - 5*l, -2*q = -q - l + h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 z, and 1 y when three letters picked without replacement from wgnzy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11315 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21\/15)\/(15\/2271). Let z = t - 212. Let g be (-4)\/3 + (-5)\/(-15). Is z at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + k**2 - 65*k**3.\nAnswer: -65*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-5)\/60*-3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1132497136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 251, 8, -735, -1978?\n\"Answer: -250*n**2 + 507*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-15)\/(-20) + -4 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/z**(-9))*z**(-3\/5)*(((z\/z**(-1\/21))\/z)\/z*z*z)\/(z*z*z**(-1\/4)*z) assuming z is positive.\nAnswer: z**(-4747\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*252\/(-147) - 19?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*b, -a - 8*b - 48 = 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x - 4. Let j be c(3). Suppose z + j*r = 50 - 8, -z + 5*r - 8 = 0. Let b = 269 + -133. What is the highest common factor of z and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13603329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + (7 - 28) + 21 + 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243?\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -162 - -290. Let o = d + -127.96. Which is bigger: 5\/3 or o?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 11*n**3 + 2*n**2 - n - 4. Let s be k(3). Suppose 4*z + 16 = 0, -4*o + 48 = z - 3*z. Let q be 122\/s - o\/55. Do q and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178898 is divided by 25456.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -271 + 1154. What are the prime factors of g?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*g**2*z + b**2*g**2 - 5*b**2*g*z**2 - 7*b*g**2*z**2 + 18*b*g**2 - 3*b*g*z - 2*g*z**2 wrt z.\nAnswer: -10*b**2*g - 14*b*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d - 51. Let x be y(18). Let i = -12861\/5 + 2584. Calculate the common denominator of i and (-1)\/x - 0 - 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -281*t + 10 + 110*t - 40 - 5 + 116*t in the form l*t + x and give x.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-643713)\/(-189) - (-2 - (-34)\/18).\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (179\/(-179))\/(((-4)\/(-2))\/(-6)). Suppose -4*w - s*t + 631 = 0, 108 = 5*w - 3*t - 701. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -541 + -176281?\nAnswer: -1767c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 1328.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*w - 3*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-4) + 3)*0\/1. Suppose 4*v - 508 = -5*j + j, c = 5*j. Calculate the remainder when v is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/36 - 2\/(-12). Suppose -w + 10 = v - 2*v, -3*w + 2*v + 26 = m. Suppose -3*g - 5*k = -w*g + 578, -4*g + 3*k = -789. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j**4)*j*j))**(20\/7))**(-1\/2) assuming j is positive.\nAnswer: j**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -258 and 645.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14908? (a) -2\/11 (b) -3 (c) 10 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15222*x + 19 - 19.\nAnswer: 15222*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/17 + (-1 - 34). Let i = f - -44. Suppose -4*g + i + 3 = 0. What is the lowest common multiple of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h - 23. Let o be i(8). Let f(c) = 7*c + 2. Let j(l) = -8*l - 3. Let w(u) = 3*f(u) + 2*j(u). Calculate w(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - r + r + (-5 + 0 + 4)*(4*r - 3*r - 3*r) + (-3 + 2 + 3)*(5 - 3*r - 5) - 3*r + 4*r + r + r + r - 3*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 1:12 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(1 - 3) + (-97)\/(-24). Let m(y) be the third derivative of 1\/60*y**5 + 0*y + y**2 + 0*y**3 + 0 - v*y**4. What is h in m(h) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32144204 is divided by 10714733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4374*a - 4370*a + 320 = -44*y - 8740*a, 0 = 5*y - 5*a + 50 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (144\/54)\/((-7)\/(-6)). Let z(a) = -a**2 + 6*a - 3. Let l be z(5). Solve -10\/7*h**l - 8\/7 - 2\/7*h**3 - s*h = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = 19*o - 1989. Solve -105*g = -o*g - 486 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07 greater than or equal to -1811.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 7*u**4\/4 + u**3\/6 - 346*u. Let t(w) be the second derivative of w**4\/12 - 5*w. Determine s(t(a)).\nAnswer: 21*a**4 + a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -455240 greater than or equal to -2276203\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12 + (-4)\/(-4 - -8). Suppose -6*l - 125 = -q. Let j = 53 + l. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1427 + 1427.1. Suppose 5*l - 15 = -0*l. Which is the closest to i? (a) 1\/5 (b) l (c) 2\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -1886, -0.02 in ascending order.\nAnswer: -1886, -1\/4, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.043? (a) -0.6 (b) -9 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*k*u**3 - 1795*k*u**2 + 2336*u**3 - u**2 wrt k.\nAnswer: 10*u**3 - 1795*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -25639*h - 6. Let k(f) = -11*f**2. What is b(k(n))?\nAnswer: 282029*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(35) - (sqrt(4235) - sqrt(35)))*-4)\/(sqrt(60)\/(sqrt(12) + sqrt(12)*6)).\nAnswer: -504*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + 81760. Let x = o + -10880. What is x rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.39 in 0.9, -0.6, -0.1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l = 15. Let v be (2\/(8\/6))\/(21\/(-14)). Is l + (155 + 4 - v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v. Let s(a) = -7*a + 53. Let x(r) = -9*r + 21*r + 3*r - 9*r - 54. Let p(u) = 4*s(u) + 5*x(u). Calculate p(o(c)).\nAnswer: -2*c - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 12*v + 79. Let t be c(-17). Let u(w) = -w**2 - 7*w - 10. What is u(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/65040 and -23\/65620.\nAnswer: 213396240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z - 3 = l, 4*z - 8 = -2*l. Let a(w) = 2*w - 2. Let f be a(-1). Let o be (-1 - -14)*z - f. Which is bigger: -0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 241488 and 4787835.\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1201102 - 3030?\nAnswer: -1210132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -12112142122?\nAnswer: 12112142112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 35*k**2 + 286*k - 14. Let w be x(-13). Let m(g) = g**3 + 14*g**2 + 4*g - 15. Determine m(w).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 8*q - 6. Let n be o(-6). Let u = -13 - n. Solve 3 + 2 = -u*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 339415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 15*x = 9450. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22204\/15 - 4439\/3. What is the closest to w in 1\/3, -4\/3, -5, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -52*h + 46. What are the prime factors of u(-11)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 53, 8, -3, -6 in ascending order.\nAnswer: -6, -5, -3, 8, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 21 = -r, -4752*i + 4755*i + r + r - 24 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 342949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 + h**2 + 90 + 47 - 137.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 1:47 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4 + sqrt(75) + -1)**2)*-2.\nAnswer: -162 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-8) - (-1)\/(8\/(-63)). Let r be (18\/12)\/((-3)\/i). Suppose 17 + 2 = 5*t - 3*m, -r*t - 2*m + 2 = 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*g = -15. Suppose 0*x - 269 = -3*u - x, 0 = 3*u + 2*x - 265. Suppose 241 = g*v + u. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 402330*f.\nAnswer: -5*f*(f + 80466)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from {f: 3, a: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, l: 2, m: 5, z: 1, x: 1}. Give prob of picking 2 m, 1 z, and 1 j.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.97741045 rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 215 + -153.3. Let r = n - 70. Let j = -8.637 - r. What is j rounded to 2 decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.3, -2, -0.3, 0.5, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*1*(-14)\/(-63). Suppose 0 = -4*l + 2*y - 20, y - 19 = l - 3*y. Which is the third biggest value? (a) l (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22792858, 22792858, 22792860, 22792864, 22792870, 22792878?\nAnswer: 22792888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1353, -1359, -1371, -1389, -1413, -1443?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29708 and 13160?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -63. What is the lowest common multiple of 8 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 2*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 245 = -3*d. Let q = d - 11. Suppose 27*h - q*h = 2553. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-78)\/(-63)) - -3. Which is the third smallest value? (a) t (b) -5 (c) 0.4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.3 + -2. Let x = -0.09 - -5.09. What is the nearest to -2\/3 in x, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**4 - m**3 - 1. Suppose d - 13 = -17. Let h(b) = 10*b**4 - 4*b**3 - 13. Let t(w) = d*y(w) + h(w). Find the first derivative of t(z) wrt z.\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1119.902762 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 813868344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**5 - 28*r**3 - 91*r**2 + 2 wrt r?\nAnswer: 60*r**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 432019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 18353153?\nAnswer: 4\/18353153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-1 + -3)) + (0 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4694983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/40)\/(9\/(-7776)*-56).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v. Let c(p) be the third derivative of -17*p**4\/8 + p**3\/3 + 85*p**2. Calculate m(c(x)).\nAnswer: 102*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22304 - 22208. Solve h*z - 15 = 93*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1 + (7 - -4) + 0 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5088 > 6\/445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 + 11 = 2*u, -5*u = -x - 17. Find the common denominator of ((-13)\/(-22))\/(u - (-65)\/(-25)) and (-730)\/110*1\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59705446 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*o = -61, 0 = -6*d + 3*d + 2*o + 171. Let u = -33 + d. What is the lowest common multiple of 20 and u?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.54 + 0.04. Which is the nearest to 1\/3? (a) z (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/304 and 26\/11.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12538377 is divided by 1393140.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 12*d**2 - 14*d - 11. Let z be b(-13). Suppose -3*h = -4*q + 1, -q - 4*h - 8 - 6 = 0. Sort -3, -5, z, q.\nAnswer: -5, -3, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + ((sqrt(300) - ((1*sqrt(300) - sqrt(300)) + 4))**2 + sqrt(300))*-2.\nAnswer: -633 + 140*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 - -2321. Suppose -2*n - i = -6491. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoaaaaaaaaaaaaaaoa. Give prob of picking 2 a.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1530 - 183?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -2\/17, 230, 1\/44?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 10181*f**2 + 10181*f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.2, -2\/5, -2\/21, 6.\nAnswer: -2\/5, -2\/21, 0.2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, -5, 10, 24, 2, 20 in decreasing order.\nAnswer: 24, 20, 10, 9, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**41*((h**(1\/2)*h*h)\/h)**(-27))**(-7\/12) assuming h is positive.\nAnswer: h**(189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/42640 and 89\/22960.\nAnswer: 298480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32438625 and 1150.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**3 + 3*a + 3*a**2 - 5*a**3 - 2*a**2. Let d(s) = -s**3 - s**2 - s. Let m = -117 - -116. Let n(j) = m*y(j) - d(j). Let n(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.2. Let l = 26 + -24. Which is the nearest to -2? (a) p (b) 1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-14) + (-13380)\/(-1561)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 n, and 1 d when four letters picked without replacement from neeendeneessns.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2*x**2 + 3*x)*(15 - 15 + 5*x) + 153*x**3 - 1942 + 1942 - 2*x**3 - 2*x**2 + 3*x**3 + 4*x**2.\nAnswer: 164*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 982, 966, 902, 766, 534, 182, -314?\n\"Answer: -4*l**3 + 12*l + 974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1571.08749 + -1571. What is t rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75060, 146336, 217612, 288888, 360164?\nAnswer: 431440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 9*j**2 - 3*j. Let c be u(-9). Suppose -2*k + c = -5*k. Let m = 20 + k. Calculate the remainder when 21 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -451 + 467. Is a >= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**3 + 1. Let j be q(1). Let o be (-17)\/j + 2\/8. Let i(d) = 2*d**2 + 3*d + 4. What is the tens digit of i(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3522*a**4*q - 32987*a**4 + 2*a**2*q - 1356*a**2 - 25482 wrt a.\nAnswer: 84528*a*q - 791688*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**3 + 33*h**2 + 67*h + 30. What is b(-7)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**2 + 3*l + 9. Let h(i) = 2*i**2 + i + 3. Let u(b) = 6*h(b) - 2*r(b). Let o(g) = -352*g. Calculate u(o(t)).\nAnswer: -247808*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 577 * 1.\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 - 9*g**2 - 9*g - 12. Let q be t(-4). Suppose 2*x - q*x = -54. Calculate the remainder when x is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 6*q**2 + 13*q - 8. Let k be b(14). Suppose -8107 = -7*f + k. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620 = -33964*d + 33944*d for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -81*u - 5164. Determine y(-64).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 478450 and 700?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-280)\/3520*-11*(-352)\/4.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4656913 divided by -5.\nAnswer: 4656913\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 1.4 (c) 78\/157 (d) -4\/5 (e) 0.2 (f) -2 (g) -4\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from {b: 1, e: 3, q: 3, t: 1, o: 2, a: 2}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -2100020?\nAnswer: -2100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 50390 to the nearest one hundred.\nAnswer: 50400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-5) - 439471314\/2693461660. Let h = x - -1\/228647. Calculate the common denominator of h and 9\/10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 291 = -309. Let k(j) = -2*j**2 + 3*j - 2. Give k(d).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2307 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 16*o**2 + o + 2. What is the units digit of s(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 321, 316, 307, 294, 277?\n\"Answer: -2*h**2 + h + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (913\/(-1826))\/(0 + 1\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -36*p**2 - 24*p**2 - 4*p**2 + 14*p**2. Let k(w) = 2*w**2. What is z(k(a))?\nAnswer: -200*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.00504 and 2.9.\nAnswer: 0.014616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-117)\/9*(-8)\/416)\/((-4)\/(-1024))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6994 and 109732363.\nAnswer: 3497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 1128.\nAnswer: -45.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12954 and 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from nhmmnyvmnmhm?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 + 4*s - 3. Let f(o) = o**2 - 3*o + 2. Let q(c) = 2*b(c) + 3*f(c). Let p be (-2 - -2) + -2 + 3. Determine q(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (2 + -2))\/((-2)\/6). Let k = i + -3. Solve v + 8 - 13 = k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 60 = -14. Let k(u) = 9*u**3 - 5*u**3 + 7*u**2 - f*u**3 - u**3 + 9 - 5*u + 13*u. Determine k(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -95. Suppose 4 = c + 2*u, -2*u - u = 0. Suppose -c*f = 5*j + f - 25, 4*j + 7 = 5*f. What is the nearest to j in -1\/8, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*m - 4*t - 10, 2*t + 1 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360 divided by 90.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 64*m. Let r(f) = -8*f**2 + 3*f. Let q(i) = -99*i**2 + 37*i. Let n(t) = 6*q(t) - 74*r(t). What is n(x(j))?\nAnswer: -8192*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -119, 3, -2, -4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54, 59, 280, 603, 1022, 1531, 2124?\n\"Answer: -h**3 + 60*h**2 - 60*h - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 2*f + f. Suppose 5*m = -0*m + f. What is the remainder when 14 is divided by (-2 + 1)*1 + m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6*498\/(-9). Let y = w + 27. Let f = -527 + 526. Which is the second biggest value? (a) -2 (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 3:47 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 12) in base 2?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*k - 8 + 216*k**3 - 3*k**2 + 22 + 47*k - 16 wrt k?\nAnswer: 1296*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76566.\nAnswer: 2, 3, 7, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 14, -0.2, -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 251242.4 rounded to the nearest one hundred?\nAnswer: 251200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -1212995451658.\nAnswer: -1212995451623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 7*o - 8. Let n be o + (1\/3)\/((-7)\/84). What is the nearest to 1\/3 in -1.4, -3\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47760403 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.154, 2\/11, -1, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 2*g + 0*g)*(4*g - 6*g - 6*g) + 2 - 2*g**2 - 2.\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 6. Let m(v) be the third derivative of 1\/24*v**4 + 0*v + 5\/6*v**3 + 0 + 2*v**2. Calculate -6*m(t) + 5*r(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 223\/3 - 1052\/15. Let b = 4 - u. Let i = 0.109 - 0.209. What is the smallest value in b, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8513, -8688, -8863?\n\"Answer: -175*y - 8338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*l*q**4 + 2*l*q**2 + l + 5*q**2 - 32*q - 2 wrt q?\nAnswer: 180*l*q**2 + 4*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 58\/10 + 3\/15. Let h(d) = -d - 8. Let z be h(-7). Let k = z + 5. Solve -6*g - x = -k*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2955218 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78086610 divided by 765555.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/27)*b)\/(b*b**(9\/7)))\/(b**15)**(3\/11) assuming b is positive.\nAnswer: b**(-11024\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -7 - 2 - 11 - -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from igd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 5, 3, -1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -371364.618 + 371043. Let z = 326 + m. Let s = -4.2 + z. Round s to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 13. Solve 0*x + z*x - 20 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -6. Let o = z + 6. Suppose -42 = 2*q - 4*q - 2*h, 2*h = o*q - 90. Calculate the highest common divisor of q and 220.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-8\/3))**12)**(-6\/11))**(2\/23) assuming b is positive.\nAnswer: b**(384\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {e: 1, u: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 - 1016 = -z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - n**2 + 0*n**2 + (0 + 0 + 2*n)*(n - 5*n + 2*n) to d*n**2 + v*n + x and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1106775454?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 270645203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + 53 + -9 + (157 - 117)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2 + p + 2. Let q be l(2). Let i(u) = u - 36*u**2 + 40*u**2 + 4 + 129*u**2 + u. Let j be i(q). What is j rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.7. Let p = 0.163 - -20.637. Let s = p - 21. What is the smallest value in f, -5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**4 - 2315*o**3 - 292710*o**2 - 5614400*o - 5324000 = 0.\nAnswer: -220, -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/10175 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311076?\nAnswer: 2, 3, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000025532 rounded to seven decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 327632, 326443, 325254, 324065, 322876?\n\"Answer: -1189*y + 328821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*(-2 + -3)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*g + 336 = -12*g. Let q(o) = 2*o**3 - 16*o**2 - o + 12. What is q(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -9. What is the remainder when 38 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27440578*a**3*r**2 + 2535*a**2 + 3114*a*r**2 - 13*r wrt a?\nAnswer: 164643468*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 42016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) - sqrt(456)\/sqrt(8))*4 + sqrt(57))\/((sqrt(9)*3)\/sqrt(3)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1272 - 1267. Factor 8\/3 - 2\/3*q**x - 16\/3*q + 2\/3*q**2 - 2\/3*q**4 + 10\/3*q**3.\nAnswer: -2*(q - 1)**3*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a + 30 = 0. Suppose n - 53 = -2*o, 97 = a*o - 3*o + 5*n. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 7:13 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 2. Let h(x) = -3. Let b(a) = -2*h(a) + 3*y(a). What is the units digit of b(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 18*j**5\/5 - 27*j**4\/4 + 5*j**3 - 3*j**2 + 15*j + 5. Let m(k) = -k**4 + k**3 - 1. Let c(w) = 15*m(w) + y(w). Factor c(q).\nAnswer: 3*q*(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/8 (b) -4\/5 (c) -0.0081\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -211 - -194.7. Let t = h + 16. What is the fourth biggest value in 0, t, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**3 - 7*m + 11*m - 4*m - 3*m**2 wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*j**2*u**3 - 122*j**2*u**2 - 2*j**2*u wrt u?\nAnswer: -450*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*w**2 + 622683*w - 17309131 wrt w?\nAnswer: -12*w + 622683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*o**4 - 15*o**4 - 12*o**4 + 2*o**3 + 0*o + o to g*o**2 + m*o + r*o**4 + n*o**3 + t and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 382 * 13806\nAnswer: 5273892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 96 = 24. Find the common denominator of -5\/27 and v\/16*(-93)\/(-18).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3060.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + -69 + 12 + 107?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47105.26 hours to seconds.\nAnswer: 169578936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -167061\/5*b - 1407\/5*b**2 - 3\/5*b**3 - 488601\/5.\nAnswer: -3*(b + 3)*(b + 233)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**4 + 20*p**3 - 19*p**2 + 10*p. Let v(u) = -4*u**4 - 64*u**3 + 56*u**2 - 30*u. Let w(m) = -14*b(m) - 4*v(m). Factor w(k).\nAnswer: 2*k*(k - 10)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 3*p**2 + 4. Let b be g(3). What is the second derivative of 654*x**3 + 5*x**b + 19*x - 654*x**3 wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101759309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 61*y**4\/24 - y**3\/3 - y**2 - 27. What is the units digit of b(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 302339*d - 604682.\nAnswer: (d - 302341)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 - 2*g**5 - g**4 + 3*g**4 + (3*g - 3*g - 3*g**3)*(g**2 - g**2 + 2*g**2).\nAnswer: -9*g**5 + 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 7*o**2 + 2*o - 7. Let w(a) = a**2 + a - 3. Let r(p) = -2*p**2 - 4*p + 8. Let n(g) = -3*r(g) - 8*w(g). Let s be n(3). Is 12 a factor of x(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(48\/(-200)*-5*5). Suppose 4*n - 11 = -t, -2*n + 7*t + 9 = 4*t. Let i = 40 - 28. Solve -i = -r*w + n*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 6:52 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 3406\nAnswer: -5\/3406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*k = -153*k + 4025008. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -13. Put i, 2, 3 in descending order.\nAnswer: 3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 22 = -209*b + 211*b, 474 = 12*x - 18*b for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 812? (a) -9 (b) -3 (c) 59 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -7\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14958, -29899, -44910, -60027, -75286, -90723, -106374, -122275?\nAnswer: -138462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.09647 + -0.37.\nAnswer: 24.72647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onnf when four letters picked without replacement from {g: 6, f: 5, n: 2, v: 1, h: 3, o: 3}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 143619019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 + -131 - (3 + -29 - -6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -57 - 51\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*s, -4*a + 0*s - 3*s = -8. Let w = -217\/176 + 23\/22. Which is bigger: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - t**2 + 5*t - 3. Let i(b) = -3*b**3 - 4*b**2 + 15*b - 9. Let p(s) = -2*i(s) + 7*m(s). What is p(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*f + 176 + 1082 = 0 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from eezzzzzzezezzzzzeze.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.46 + -43. Let q = 31.46 - y. Let m = q - 31.1. Which is the third smallest value? (a) -9 (b) -2\/11 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3340 divided by 835\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 (base 6) in base 10?\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-10)\/(20\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 8 = -12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 1\/4, 1\/2, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -411*n + 35139. Give f(85).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -111 - -9a?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/5 - 152*c**2\/5 + 546*c + 6084\/5 = 0. What is c?\nAnswer: -2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -653957.4491 to the nearest 10000.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 > 2\/359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6150052?\nAnswer: 2, 1537513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 634 - 635. Which is the closest to m? (a) 9\/7 (b) -0.1 (c) -1\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9234 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*s**4 + 43557*s**3 - 587994*s**2 + 556653*s - 12348 = 0.\nAnswer: -343, 1\/44, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -75. Let z = -21 - r. Let i = 0.3 + -0.4. Which is the closest to -0.1? (a) z (b) -1\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chch. What is prob of picking 1 h and 1 c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005011 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16795 is divided by 43.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 + 103. Is 19 a factor of c\/(581\/(-289) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3713 = 4*i - 308, 5*i + 2*c - 4985 = 0. Calculate the least common multiple of 30 and i.\nAnswer: 9990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, -15\/11, 0.1.\nAnswer: -15\/11, -1, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*w + 3*c - 43, -39 = -2*w - c. Calculate the highest common divisor of 85 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epgeeeepeepepepepe. What is prob of sequence peep?\nAnswer: 55\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 12:22 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 21. Let r be v(-12). Let n be r\/((-6)\/(-10)) + -3. Let q = 4 + n. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 1 (c) -488 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102923846 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from ixxcxsxa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 167*x + 27. Let l(y) = -168*y - 29. Let b(g) = 6*l(g) + 7*m(g). What is the tens digit of b(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(270))\/sqrt(6) - (sqrt(45)\/((sqrt(144)\/sqrt(4))\/sqrt(4)))**2.\nAnswer: -5 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 534\/(-6141) - (3 - 1151773\/23). What is s rounded to the nearest 1000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + r + r)*(-4*r - 6*r + 12*r - 2) + 55*r**2 + 81*r**2 + 17*r**2 as p*r + a + j*r**2 and give j.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2 + 4*b - 4. Let t(y) = -y**2 + y - 1. Let o(w) = a(w) - 4*t(w). Let c(r) = -r. Give c(o(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -841*a*p + 6*a - 49*p + 2 with respect to a.\nAnswer: -841*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-1 - (-23)\/25) - 159890\/(-304875).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -17*v + 37. Let a be k(8). Let j = -100 - a. Which is greater: j or 1\/356?\nAnswer: 1\/356","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 + (23 - 22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 333713384227?\nAnswer: 333713384222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 275b + 4?\nAnswer: 2763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 25 - 2 + 36)*(5*v - 4*v + 2*v).\nAnswer: 123*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -56*s + 90*s - 38*s. Let c(t) = -13*t**2. Calculate c(o(l)).\nAnswer: -208*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -15*n + 424, n + 54*v - 30 = 55*v for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 4301494?\nAnswer: 1\/2150747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2069605.6 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3541073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*b + 124*b + 24 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 215 + -171.9. Let w = j - 37. Let f = w + -6. Which is the third biggest value? (a) 0.3 (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 97*c**2 + 711*c + 2. Let p be w(-8). Solve -28*b = -26*b - u - 7, p = 2*b - 4*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -13*y**3 - 39*y**2 + 26*y + 91. Determine p(-4).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11341295*q + 9100292?\nAnswer: 11341295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8865 + -4219. Let c = w - 74299\/16. Find the common denominator of c and -69\/74.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8982)\/4990)\/(3\/(-50)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q - 2*q**4 + 408*q**2 + q**3 - 407*q**2 + 6*q**3 - 15*q**3 as h + v*q**4 + i*q + s*q**3 + w*q**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*c**2 + 2*c - 2*c - 73*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.406595 + -2.408886. Let c = -170.011991 - h. Let p = -169 - c. Round p to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*a*c*q**4 - 2*a*c*q**2 + 2*c*q**5 - c*q**3 + 3*c*q**2 - 17 wrt q?\nAnswer: 744*a*c*q + 120*c*q**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 96 = 9*b + 97 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u - 2 - u**3 - 2*u)*(5*u + 3*u - 3*u)*(6*u - 3*u - 2*u).\nAnswer: -5*u**5 + 5*u**3 - 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 928829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*c*k**3 + 3*c*k**2 + 3*c*k - 3*c*u + k*u - 26*u with respect to k.\nAnswer: 57*c*k**2 + 6*c*k + 3*c + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2220 (base 3) to base 5\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196884?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324857070.\nAnswer: 2, 3, 5, 3609523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -25 + (-2 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -z - 4382 + 4404, -3*z - 19 = 5*a. Suppose -n = 4*t + 4, 5*t - 3*t - 6 = -n. Suppose -3*g = -2 - n. Solve 3*x - z*r + 18 = 0, -r + g = r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -30*(2 - (-184)\/(-95)). Let f = 506\/247 + i. Let s(u) = u**3 - 27*u**2 + 27*u - 26. Let b be s(26). Which is bigger: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210315?\nAnswer: 3, 5, 7, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - q = 11, -k - q = 3*k - 24. Let l = 21 - 7. Let g = l - k. What is the least common multiple of g and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2 = 0, 192*k - 193*k = -3*y - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 4*c**2 + 3*c + 3. Let y be t(-4). Let x = -6 - y. Solve -x = f + s - 1, 2*f - s = 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c + 0*c)*(0 + 0 - 2) + (937 - 937 - 62*c)*(0 + 0 + 1) + 1 + c + 2*c - 5*c.\nAnswer: -66*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -22*w**2 - 1 + 8*w**3 - 90*w - 1\/3*w**4. Let f(b) = 0. Calculate b.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 41 = 3*a, -157*o = -152*o - 4*a + 27. Sort -13\/3, 0.3, 2\/3, o, -3\/5.\nAnswer: o, -13\/3, -3\/5, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 40. Suppose 7 = 4*f - 53. Calculate the remainder when f is divided by 2 + 60\/35 + o\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 499589880?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 88, -1, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 406\/(-56) + 10\/40?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, -29, -58, -95, -140, -193?\n\"Answer: -4*k**2 - 9*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 6*x + 3*x)*(11 - 2*x - 11 + (-x + 0 + 0)*(3 + 0 - 1) - x - 3*x + 2*x - 3*x + 4*x + 0*x + 2*x - 3*x - x).\nAnswer: -35*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/4)\/h*h**11)\/((h*h**(2\/5))\/h)**(-22) assuming h is positive.\nAnswer: h**(391\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24126 + 91*f - 24126)*(4*f + 12 - 12)*(0 - 4 + 5).\nAnswer: 364*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -15. Suppose -5*o + 7 + 373 = 0. Let j = o + -81. Put -2, j, s in increasing order.\nAnswer: j, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**4\/12 + 3*k**2 + 3*k. Let l(z) be the first derivative of n(z). Let y(g) = -3*g**2. Give y(l(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/3 + 0\/2. Let h = x + -20. Sort -3, h, 0 in descending order.\nAnswer: 0, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + -2 - (-11 - 0 - 0)) + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 16. Let s be -1*-6*k\/2. Suppose s*v - 6*v - 148 = -4*a, a = v + 38. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 9*t**2 + 10*t - 9. Let a be j(-9). List the prime factors of (-15)\/((-10)\/2) - a.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h - 4. What is y(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 52, -3, 1\/6 in descending order.\nAnswer: 52, 1\/6, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3100134112 + -2?\nAnswer: -3100134114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 + t**2 - t - 2. Let d be n(-1). Suppose d*f - 40 = -2*m - 2, -f + 4 = 4*m. Let s be (f\/(-20))\/((-11)\/5). Which is bigger: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, -0.4, 1 in descending order.\nAnswer: 1, -0.4, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 22*i**2 + 2 + 5*i + 8*i**2 + 13*i**2. Let k be w(-3). Let t(s) = 0*s**3 - 2 - 5*s**2 + s**3 - 1 - 6*s + k. What is t(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13009439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216 and 576.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.41834567 to one decimal place.\nAnswer: 111.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 91\/637*-14*1\/12. Which is the nearest to -0.1? (a) -56 (b) 1 (c) n (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 152?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4309678ml?\nAnswer: 0.0004309678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 363828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 0*r - 1\/3*r**2 + 1\/6*r**4 + 2\/15*r**5 - 19 - 2\/9*r**3. Factor p(s).\nAnswer: 2*s*(s - 1)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1392681, 5570659, 12533927, 22282479, 34816309, 50135411, 68239779, 89129407?\nAnswer: 112804289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 213 = -14*c. Put -2, 0, c, 3 in increasing order.\nAnswer: -2, 0, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 5\/4 (b) 0.4 (c) 2 (d) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 7*q**2 - 7*q**2 + 11*q**2 to the form d*q + s*q**2 + o and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/4 of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82\/3 + 404\/15. What is the second smallest value in 13, -0.3, d, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 + 10*s**2 + 34*s - 1269. Determine j(-9).\nAnswer: 693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14788871 to the power of 1\/2, to the nearest integer?\nAnswer: 3846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 47 - 54. Suppose -o = -3*u + 3*x + 13, -x = 4*u - 152. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 315624?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 10. Let d be q(-7). Suppose -3*z - f + 1485 = 0, d*z - 3*f = 638 + 859. Suppose 6*p - 2*p = -z. What is p rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 + 99*g - 99*g.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f. Let m = 5 - 3. Suppose a = m*a. Suppose -15 = -9*o + 4*o + 3*d, a = 2*o + 2*d - 22. Let r(n) = n. Give o*r(x) - g(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1049 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**4\/4 + 3*d + 4. Find the first derivative of u(b) wrt b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(1053)*-3 - (-1 + sqrt(1053) + -3))**2.\nAnswer: -288*sqrt(13) + 16868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 3. Suppose 4*n - i*n = 4*m - 4, 4*m - 4*n = 32. Solve m*z = 2*p - 0 - 12, 3*p = 4*z + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-2)*(-46)\/(-115)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 (base 10) in base 16?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*r, 2*z - 3*r + 6 = 31. Suppose -31*c + z*c + 957 = 0. Calculate the remainder when c is divided by 69.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 311? (a) 23 (b) -5 (c) 0.32 (d) -3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -3\/7, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4))**(-32)\/(g**(-3)*g\/(g\/g**0)))\/(g*g**0*g\/(g\/g**(-1\/3)))**(8\/11) assuming g is positive.\nAnswer: g**(347\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 7557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f = 20. Suppose -3*j - 24 = -f*p, -3*p + 6 = -j - 6. Suppose p*z = z + 22. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19808 - 19808.44046. Let l = u + 0.44. What is l rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -209 - -49?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 444501 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.5. Let l = -0.136 - -1.136. Which is the closest to 0.1? (a) l (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116228 and 41356?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*a**2 - 11 + 13*a**2 + 13)*(34 + 94 + 228 - 14).\nAnswer: 9234*a**2 + 684","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 2*u = -297. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 41\/6 of a week?\nAnswer: 1148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*z + 4. Suppose 0*l**z - 2 + 3*l**3 + 6*l - 6*l**2 - l**3 = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 173*r - 171*r = 200, 2*v = -4*r - 194. Let c = -216 + 128. Let y = c - v. What is the highest common divisor of y and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**4 - 2*s**3 + 2*s**3)*((-2 - 1 + 2)*(-1 + 2 - 3) + 0 - 1 + 5).\nAnswer: -30*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 12:52 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by -701301.\nAnswer: 61\/701301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 7*n + 31*n**3 + 428*n**2 - 429*n**2 - 1 to the form d*n**3 + h + v*n**2 + o*n and give d.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 4)*(0*w + 0*w + 2*w + 11*w + 51*w + 41*w + (-4 + 4 + 2)*(-3*w + 3*w - 3*w)) to k*w + f and give k.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 10.41. Let v = p - -0.356. Round v to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011 (base 2) in base 14?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104688 by 4.\nAnswer: -26172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.3 (b) 6 (c) -1.6 (d) 4 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 22*s + 32. Let f be d(-21). Suppose -4*t + f = 7*k - 6*k, -t + k + 9 = 0. Differentiate -14*q**4 + 5*q**4 - 4*q - 13 + t*q wrt q.\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/6)\/((-1)\/10). Let u(v) = -6*v + v + g*v - 6 - v. Let b(n) = -2*n - 11. Determine -4*b(c) + 7*u(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -1\/32*h**4 - 1\/8*h**3 + 3\/8*h**2 - 86 + h. Factor o(p).\nAnswer: -(p - 2)*(p + 1)*(p + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0 + 2, -5*j - 39 = -2*s. Let h(l) = -l**3 - 8*l**2 - 10*l - 8. List the prime factors of h(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1430491 and 602312?\nAnswer: 11443928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 9. Is -16\/3 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 20 + 202 + -211?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 9 - 34 = 0. Suppose -4 = n*u + 36. Let b = -7 - u. Is b < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 16. Solve t + w = 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.21859 and -0.2485948366.\nAnswer: -0.0300048366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1918?\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + (sqrt(1573) + (0 + sqrt(1573) + 3 - sqrt(1573) - sqrt(1573)))**2 + sqrt(1573) + -5 + 3 - (6*1*2*sqrt(1573) + -5)**2.\nAnswer: -226530 + 1342*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*k = -334, k = -5*a - 0*a - 412. Let v be 1\/(-4) + a\/(-8). Solve -4*h + 6 + v = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from {s: 10, l: 4}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -620 - -623. Let f(a) = -q + 3*a - 5*a - 1. Let i(z) = 4*z. Determine f(i(t)).\nAnswer: -8*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 22)\/(-4) + 3. Let v be (-2)\/(-20) - 3\/6. Let g = 55 + -56. Which is the second biggest value? (a) g (b) v (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(832) + 4.\nAnswer: 4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 323*q + 3481. Is c(36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-13 - (2 - 19))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 6. Let z be l(0). Let s(o) = 14*o + 21. Let c be s(z). Suppose -6*u = -105 - c. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 4*x**2 + x - 1. Suppose j = -2*j - 6. Let q be r(j). What is the highest common factor of q and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 4*q + 4*h = 46, -2*q + 3*h = -42. What is the remainder when q is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w**2 + 4*w**2 + 0*w**2 - 13*w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + (sqrt(11) - sqrt(176))))**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146 = 79*k + 170 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39211459 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:50 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - 1611*i + 1602*i to h + l*i and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15403 and 454790.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -1048.34.\nAnswer: -314.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 + 6*y**2\/7 + 8*y\/7.\nAnswer: -2*y*(y - 4)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2723*p*w**2 + 857*p - 5*w**4 + 9 wrt w?\nAnswer: -5446*p*w - 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*i**2 + 36*i**2 + i + 36*i**2 - 2*i**3 - 9 + 2*i + 18 in the form w*i**2 + b + t*i**3 + u*i and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-53 - -49 - (-50 - -1)) + 16.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((1 + -5)*1\/6)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*o + 5. Suppose -133 = -2*p + 5*v, o*v + 2*v - 211 = -3*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1090\/(-280) + 4)*((-559)\/(-234) + -2).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**6\/180 + a**3\/6 + 6*a. Let c(r) be the second derivative of h(r). Let f(x) = 3*x**2. Determine c(f(m)).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.040324 - -4.\nAnswer: -3.040324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -17, 0.05, 2, 0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 2*i. Suppose 5*l + 2*z + 8 + 12 = 0, 5*l - 2*z = 0. Let u be s(l). What is the remainder when 2\/(u + (-6)\/(-57)) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 2:43 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*s + 16 - 526 = 0 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 + 6*z**2 + 4*z - 1. Let x be l(-4). Suppose 125 = 4*j - 247. Let r = j + x. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 1. Let g be l(-2). Let t = 29 + -26. Put g, t, 2 in increasing order.\nAnswer: g, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 - -154. Let w be 120\/a + (-4)\/(-14). Solve -l + 4*f - 6 = -19, w*f = -8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*q - 284, -4*t + 4*q + 0*q - 292 = 0. Is 8 a factor of 5 + t\/15 - 78\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1634383 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 430 and 3139.\nAnswer: 31390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(8\/7)*(((z\/z**(-9))\/z)\/z)\/z*z*z)**(-47) assuming z is positive.\nAnswer: z**(-3337\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -40 + (196\/40 - 12\/(-120)). Suppose 27 = g - 26. Let b = m + g. Solve -4*z + v = -b, -5*z - v + 8 = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from hlxxhxxlxlxxxxlx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6399, -6398, -6397, -6396, -6395, -6394?\nAnswer: -6393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434.4693 litres to millilitres.\nAnswer: 434469.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 0.336.\nAnswer: -3.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18282 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.8820063 + -2.8819993. Let x = w - 12. What is x rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 - 460177.\nAnswer: -460176.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11ad (base 15) in base 11?\nAnswer: -2911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from tjtjtjtt.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgrrrrjjjrrrgj. Give prob of sequence rgjr.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.051, 3, -4\/9 in descending order.\nAnswer: 13, 3, 0.051, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 0 + 5*s**2 - 1 - 5*s - 6. Let x(g) = 4*g**2 - 5*g - 6. Let c(l) = -2*l + 4. Let w be c(4). Let o(h) = w*x(h) + 3*b(h). What is o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(500))*-3*-4 - (-2*(sqrt(500) - sqrt(500)*-6) + sqrt(500) + 2))**2.\nAnswer: -25000*sqrt(5) + 315000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 - -0.01. Suppose -2*l = -0*l - 2*r + 8, -5*l = -r + 4. Suppose l = 6*k - k. Which is the nearest to p? (a) 0.5 (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1264\/(-553)*7*1\/2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 + (2 + 2 - 4) is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -508bba?\nAnswer: 508bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 532 = -4*x. Let t = -67 - x. Let v = 72 - t. Solve 0 = -v*p - p - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 80.76311 hours?\nAnswer: 290747196000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68401, -270970, -608585, -1081246, -1688953?\nAnswer: -2431706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 1983850?\nAnswer: 1983850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4977 + -4978. Which is the nearest to y? (a) -10 (b) 136 (c) 0.5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-4 - 7 - -30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*z**4 - 42*z**3 + 42*z**3 + (z**2 - z**2 + 2*z**2)*(4 - 4 - 4*z**2) + (-4*z**2 + 0*z**2 + 2*z**2)*(0*z**2 - z**2 - z**2).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26861\/6 + 4467. Let p = -6 - -6. Calculate the common denominator of d and -3 - (126\/(-8) - p).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4*m - 280*b**2*m - b**2 + b*m + 298*b wrt b?\nAnswer: -24*b**2*m - 560*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-170))\/(1\/2)*(45675\/290)\/315?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + 4*sqrt(2299) + 4 - (1*sqrt(2299)*-6 - sqrt(2299)))*-5)**2.\nAnswer: 26400*sqrt(19) + 8276800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3.236555 years?\nAnswer: 0.3236555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(6\/3)*(-255)\/51\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2224 + -150?\nAnswer: -2414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbobbbon. What is prob of picking 1 n and 2 b?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + 4*u + 0*u**3 - 3*u + (0*u**2 - u**2 + 0*u**2)*(-12*u + 8 - 8) - 5 + 5 - 3*u**3 to j*u**2 + k + w*u**3 + d*u and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l + 2 - 2)*(-6 - l + 6)*(5 + 1 - 4) to the form b + y*l + q*l**2 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 77038*u + 539200. Determine g(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 124*n**2 - 51*n + 3. Is 14 a factor of v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2*a + 2 = 2*k, -4*k + 5*k + 106 = -54*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/2 (b) 0.2 (c) 4\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25792)\/(-62)*-2*2\/264. Let h = w - -73\/11. Factor 1\/3*q**5 + 2\/3*q**4 - h*q**3 - 2\/3*q**2 + 0*q + 0.\nAnswer: q**2*(q - 1)*(q + 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6067.684ng?\nAnswer: 0.000000006067684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, n: 4, s: 6, d: 1}. Give prob of sequence nssd.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2310932\/5 - -459552. Let a = k - -2626. Let y = 187\/6 + -521\/18. What is the common denominator of y and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -46. Suppose 0 = 5*i + 4*s + 12, -q*i + s + 3 = 2*i. Suppose -12 = -2*l + 5*l. Sort l, -1, i in descending order.\nAnswer: i, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 31. Let j be w(35). Put -2, j, 0 in descending order.\nAnswer: 0, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9280, -11, 5, 3 in increasing order.\nAnswer: -9280, -11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/2)\/((-3)\/(-6)). Let n = x + 2. Find the third derivative of 6*j**2 - 3*j**2 - 2*j**n - j**4 + 2*j**4 wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.12 (c) 33 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 11) to base 6\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 8:06 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 2, q: 1, g: 1}. What is prob of picking 1 g and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 10*i**2. Let f(p) = -2*p**2 + 286*p + 155. Let j(n) = -52*n - 31. Let l(u) = 2*f(u) + 11*j(u). What is l(h(b))?\nAnswer: -400*b**4 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.18 + -17.82. Let j = w + 21.5. Let l = j + -4. Which is the third smallest value? (a) -0.2 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234522399 divided by 78174133?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*8*2\/12. Solve -s + 0*s = k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 + l. Let g be q(1). Let i(t) = -2 + t**2 + 11*t + g - 16*t. What is i(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/3, 5, 4, -118, 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -56*a - 14. Let u(j) = -7*j + 16. Let b be u(2). Suppose -3*q + 24 = -5*w, -2*w - b*q = -3*q + 9. List the prime factors of z(w).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 9*z**2 + 13*z + 7. Calculate d(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - ((-14)\/2 + 15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h. Solve h = -2*v + 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 4*p - 4. Let n be x(-4). Let o = -1.64 + 0.04. Let l = o - -2.6. Sort n, 2\/7, l.\nAnswer: n, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.22 and -1606?\nAnswer: -1959.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 489? (a) 0.057 (b) 2.17 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f*g + 827*f*l**2 - 53*g*l**2 wrt g.\nAnswer: 2*f - 53*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 1\/6*s**3 - 6*s + 2*s**2 + 0. Let u be z(-7). Which is smaller: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 19, -8, 3, 2 in descending order.\nAnswer: 19, 3, 2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35\/3? (a) 2\/9 (b) 0.3 (c) 1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 12 = 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0, 0.193792, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**6\/120 - 7*z**5\/20 + 7*z**4\/8 - 23*z**3\/6 - 143*z**2. What is n(-22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 8:59 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, u: 4, h: 1, j: 5, x: 1, c: 3}. Give prob of picking 1 j and 1 u.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 2*t - 12. Is 9 a factor of u(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 9192 (c) -2\/607\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/545 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 835 (base 16) in base 12?\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 7*z**4\/12 - 74*z + 6. Let s(c) = -c**2 - 4*c. Give p(s(t)).\nAnswer: 7*t**4 + 56*t**3 + 112*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (9\/(-3) - -2). Suppose -2 = 4*l + 2*j, 3*l = -v*j - 24 + 5. What is the first derivative of 5*n**4 - 7 + 2 + 7*n**l - 7*n**2 wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 446131 divided by 446131?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 58 - 71 = 0. What is the remainder when f is divided by (-18)\/54 - (-134)\/6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 11:05 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (1 - (-3 - -3) - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 2 - 1) + (-6 - (-9 - -9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w*w**(-1\/7))\/w)\/(w**(6\/11)\/w))**(7\/2))**22)**(-2\/17) assuming w is positive.\nAnswer: w**(-48\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2983*u - 13. Let g(q) = -5970*q - 31. Determine -3*g(c) + 7*t(c).\nAnswer: -2971*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 268393165584811\nAnswer: -268393165584811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:32 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 180 = 2*l + y, 4*l - 2*y - 724 = 0. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3*-3 + 7. Suppose 2*b - 12 - j = 0. What is the greatest common factor of b and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 + -4787425.\nAnswer: -4787424.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63 - 10 + 45*y - 3 wrt y.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 405?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -843, 1, -84 in decreasing order.\nAnswer: 1, -4, -84, -843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2160 is divided by 1059?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 13*v**3 + 2*v**2 + 2*v + 1. Let t be n(-1). Let w = 17 + t. Suppose -15 = -w*k - 0. Which is the smallest value? (a) k (b) 0.1 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1178415 and 0.5.\nAnswer: -1178414.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -13706*m**3 - m - 2. Let n be i(5). Let r = n - -6613257. What is r rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 = 0, -3*p + 0 - 96 = 3*n. Let q(b) = -97*b - 1. Let k be q(-1). Let o = p + k. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 239*f + 2878. Let b be n(-12). Solve -60*a + b = -65*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*v = -187*v - 5950. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 4*i**2 - 3*i - 1. Suppose -h - 1 + 0 = 0. Let b = 3 - h. Let z = b - 7. What is f(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 4*r + 10*r + 12*r to the form y*r + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 t when four letters picked without replacement from {f: 10, r: 2, h: 5, t: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o + 292 + 2*o - 192 - 84. Determine s(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 + 113. Let o(p) = -3*p**2 - p - 1. Let u(z) = 2*z**2 + z + 1. Let s(c) = q*o(c) - u(c). Let r(g) = -25*g. Determine r(s(x)).\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 9\/6291164 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(216\/(-488)) - -5*1. Sort 1, 1\/2, l.\nAnswer: 1\/2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/425 or -2\/3?\nAnswer: -2\/425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2611456 at least as big as -2611449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k**2*t**3 - k**2 - 2*k*t**2 - 34*k + 9405*t**3 wrt k.\nAnswer: 6*k*t**3 - 2*k - 2*t**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**3 - 27*x**2\/2 + 42*x + 19. Factor h(s).\nAnswer: 3*(s - 7)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -511*355\nAnswer: -181405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**5\/90 + v**4\/12 - 2*v**3\/9 - 3*v**2\/2 + 3*v. Let d(h) be the first derivative of a(h). Factor d(z).\nAnswer: -2*(z - 2)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7890387?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6759230650 to the power of 1\/2, to the nearest integer?\nAnswer: 82215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-8)\/g*g**(-8\/3))**(-2\/61)\/(g\/g**(-1)*g**(-6\/7)*(g**(2\/7)*g)**(1\/46)) assuming g is positive.\nAnswer: g**(-48383\/58926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 126690494.8 to the nearest ten thousand.\nAnswer: 126690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9 + 3 - 3 + 12*z + 3. Let k be (6\/(-3))\/(4\/30). Let h(c) = 3*c + 3. Let m(x) = k*h(x) + 4*l(x). What is the derivative of m(f) wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9034672, 18069353, 27104034, 36138715, 45173396?\n\"Answer: 9034681*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2404430 (base 6) in base 9?\nAnswer: 211060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 9*t - 8. Let d be 23\/4 - (-1)\/4. Let p be o(d). Calculate the highest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 12521.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1124\/(-120) + (-1)\/(-6). Let z = 44\/5 + r. What is the second smallest value in 0.01, 2, z?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 201*u**2 + 6*u**3 - 201*u**2 - 1 in the form h*u**3 + v*u + l*u**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.127 times -2\nAnswer: 0.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 11 - (-15 - (-6 + -9 + 7)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -13.15. Let d = -0.26 + o. Let f = -0.11000018 - d. Round f to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1901, -5350, -11099, -19148, -29497, -42146?\n\"Answer: -1150*s**2 + s - 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ookkoooook. What is prob of picking 3 o?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -31*m - 3. Let r be s(-3). Let l = 3 + 1. Let h be l*1\/6*15. What is the highest common factor of h and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36\/109 + -474\/545. Which is the third biggest value? (a) u (b) 7 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -45065, -45018, -44941, -44834, -44697, -44530?\n\"Answer: 15*p**2 + 2*p - 45082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -37. Let u = 9\/4 - q. Calculate the common denominator of u and -119\/78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 149, 319, 493, 671, 853?\n\"Answer: 2*z**2 + 164*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 - -44. Let t be 12\/72 - 394\/(-12). Let j = t + p. Solve q = -q + j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + z + 21*z**2 + 2*z - 16 - z.\nAnswer: 21*z**2 + 2*z - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55.321 + 1.624. Round d to one dp.\nAnswer: 56.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 979, 1950, 2921?\n\"Answer: 971*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54059486 to the nearest integer?\nAnswer: 7353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2424, -6204, -9984, -13764?\nAnswer: -17544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w + 88 = -18*w. Put w, 1, 43 in descending order.\nAnswer: 43, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1\/6 (b) -3\/103 (c) 2\/11 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 486 (b) 0.3 (c) -721\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 2*q**3\/3 - q. Let p(w) be the third derivative of 0 + 4*w**2 + 0*w**3 + 6*w + 1\/12*w**5 + 0*w**4. Determine p(l(m)).\nAnswer: 80*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 219\/(-660)*2 + 14\/((-2380)\/(-51))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-7 + 0 - 13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 36*o**3 - 28*o**2 - 28. Let x(u) = -4*u**3 + 3*u**2 + 3. Calculate 3*i(f) + 28*x(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1153 is divided by 226.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -9)*(-1)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338856 is divided by 10264?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -24, 3.\nAnswer: -24, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4527 + 4526.1. Put -8, x, -5, 2\/17, 1\/6 in decreasing order.\nAnswer: 1\/6, 2\/17, x, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -0.5. Let a = 43 + -63. Let d be a\/(-6) + (-2)\/(-3). What is the closest to f in d, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 9:53 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 27435*p**2 - 27418*p**2 - 6*p.\nAnswer: 17*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3485 divided by -33?\nAnswer: -3485\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from fdpxpxffapk.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33897916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 19153824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/4)\/(1911\/6552))\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41*v + v**3 + 16 + 9*v**2 - 65*v - 2*v**3.\nAnswer: -(v - 4)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 - 3*c**4 + 99*c**2 - 30*c - 80*c**2 - 55*c**2 - 18*c**3.\nAnswer: -3*(c + 1)**3*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 + -1)*-53*10?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -125 + 54?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -11.3. Let o = -2798 - -2794. Sort p, -5, o, -2 in decreasing order.\nAnswer: p, -2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**5 + 247*r**4\/5 + 104*r**3\/5 - 128*r**2\/5 = 0.\nAnswer: -16, -1, 0, 8\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964716 is divided by 161?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 168988176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + w + 7, -s - w = 2*s - 14. Suppose -s*m - 37 = -1. Let o(n) = -n**2 - 15*n - 18. Is 6 a factor of o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -167 and -1.064806.\nAnswer: 177.822602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-10)\/(-16) + 216\/576. Solve 5*b - 15 = b - 3*p, b - 5*p + 25 = j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**4 + 3*n**4 + 0*n**4 + (3*n**3 + 0*n**3 - n**3 + (-2 + 4 + 0)*(3*n**3 - 5*n**3 + 3*n**3))*(2*n + 0*n + 12*n)*(0 + 3 - 5)*(-1 - 1 + 1).\nAnswer: 111*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 44. What is j(18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-6) - -1 - 8225\/(-282). Suppose -30*x + t*x = -181. What are the prime factors of x?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4254 divided by -6?\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9851 + -9331. Calculate the smallest common multiple of a and 143.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1202.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/28 and -31\/22324.\nAnswer: 156268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 12*g - 10. Suppose -9*d - 12 = -10*d. Suppose 13*m = d*m + 89. Let w = m - 100. What is v(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. Which is the second smallest value? (a) -2\/7 (b) 1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -391907, -391909, -391911, -391913?\n\"Answer: -2*p - 391905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.17, -3\/4, -0.1?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.8005 - -853.9697.\nAnswer: 865.7702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 36\/3*-1. Suppose -29 = -3*v + 2*k - d, 0 = -4*v + k + 22. Sort v, -5, -4 in decreasing order.\nAnswer: v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1392*n = -2869 + 85 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, 34, 75, 134, 211, 306, 419?\n\"Answer: 9*s**2 - 4*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 14 + -8 + 3 + -5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -4, 253, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 311795506 divided by -4763?\nAnswer: -65462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-18)*(-9)\/24*420\/105\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39\/10? (a) 107 (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-6*(sqrt(832) + 1)*5 - (2 + sqrt(832)*2 - ((sqrt(832) - (sqrt(832) + 1 + 2)) + sqrt(832)))) + 5)**2 + -4.\nAnswer: 14880*sqrt(13) + 800448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -719 - -714. Put n, 4, 1, -4 in increasing order.\nAnswer: n, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 a when four letters picked without replacement from {a: 5, p: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1669394 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*(18 + (-90)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 104, 101, 94, 83, 68?\n\"Answer: -2*c**2 + 3*c + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrcv when four letters picked without replacement from {v: 3, c: 2, r: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-1 - -1) + -8. Let u be 4\/l - (-2194)\/(-210). Let w = 57\/5 + u. Which is the biggest value? (a) w (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - 2*y**2 - 2*y - 1. Let r be a(-1). Let m = r + -1. What is the units digit of (m + -1)\/(2\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -11001100000010111111110?\nAnswer: 11001100000011000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1674647 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*h + 59*h - 9731 + 1802 = -1028 for h.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (3 - 19) - (-5 - 21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8\/(b**(-3\/10)*b*b))**(10\/7) assuming b is positive.\nAnswer: b**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7262047 - -3?\nAnswer: 7262051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*v - 5, -4*y = -4*v + 2 + 2. Suppose 6*h - h - 15 = y. Let t be 4\/(-14) + (-4)\/(-14). Solve t*q - 4*f = h*q + 13, 8 = 4*q - f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 + -79.0043. What is a rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -124, -90, -12 in increasing order.\nAnswer: -124, -90, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/5 + (-22)\/10 + 2. Let t = 17 - 35\/2. What is the smallest value in w, 10, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -1860*w - 1499. Let i(x) = -1863*x - 1532. Let d(v) = -4*i(v) + 5*n(v). Find the first derivative of d(m) wrt m.\nAnswer: -1848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.257039*-0.2\nAnswer: 0.6514078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 623535648 to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 8*n**2 - 3*n. Let i(c) = -40*c**2 + 14*c. Suppose 0 = 2*z - 4*a - 8, 5*a = 3*z - z - 6. Suppose -25 = -z*m - 49. What is m*i(g) - 14*r(g)?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.07 (b) 17 (c) -1.9 (d) -0.2 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 23296*p - 46588. Determine d(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.063*611\nAnswer: 38.493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 15*w**2 - 4*w + 25. Is p(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 5*b = -37 - 7, 0 = -4*y - 3*b + 31. Suppose -4*m - 2*k = -0 + 14, -5*m + k = y. Sort -15, -4, m in descending order.\nAnswer: m, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 26. Let k(b) = 2*b**2 - 3*b - 9. Let y be k(-4). Let x = y - n. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 5:21 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 3 = 2*o. Let a = o + -3. Solve -5*x + a*x + 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440*y + 6491 + 1429 = 0 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14011, 25556, 37107, 48664, 60227, 71796, 83371?\n\"Answer: 3*b**2 + 11536*b + 2472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8260b31 + 4?\nAnswer: 8260b35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 273702700 to the nearest one hundred thousand.\nAnswer: 273700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + (sqrt(2736)*-3*-6 - sqrt(2736) - (-2 + sqrt(2736)*1)) + -4)**2*-2.\nAnswer: -1400850 - 2304*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 9*c - 5. Let k = -17 - -27. Let u be a(k). Suppose 0*j - 2*j = 3*q - 58, -3*q - 152 = -4*j. Calculate the highest common factor of u and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + 715*z**2 + 129*z + 174349. Calculate j(-358).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -55, -81, -113, -151, -195, -245, -301?\n\"Answer: -3*s**2 - 17*s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 108983 = 4*y, 0 = 422*r - 426*r - 3*y + 145369. Is 79 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 158\/(-1659) + (-5)\/21?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 3*x + 2*x)*(-3 - 1 - 1)*(85*x**3 - 171*x**3 + 90*x**3).\nAnswer: 20*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdrlzrhrzzzrzh. Give prob of sequence dz.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27689234849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 2:48 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-15)\/(-60)*-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1\/4, 1.8, 2, 32, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62286918 is divided by 346.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -228 divided by -203\nAnswer: 228\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.69 + 4.6. Let m = -0.29 - a. Let q = 0.08 - 0.06. What is the smallest value in -1\/2, m, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -158 - ((-1)\/(5\/(-10)) + -1). Let f = -159 - a. Is 1\/36 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of -2 + 3 + 354 + (47 - 40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336708 and 4776.\nAnswer: 673416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6959609 or -6959618?\nAnswer: -6959609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4018155713*p + p**2 + 4018155713*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 70787, 0 in descending order.\nAnswer: 70787, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.8 + 15. Let h(n) = n**2 - 3*n. Let k be h(4). Which is the closest to -2? (a) k (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1100)\/(-187) + -18 - 264\/(-22).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 74340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppvpvvp. What is prob of picking 1 p and 3 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5112624 and 11367.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -11 (b) 11 (c) -1\/20 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/2023 (b) 1\/3 (c) 2\/13 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -246*l**3 + 457820*l*u**2 + 2*u**2 + 10842009*u wrt l?\nAnswer: -738*l**2 + 457820*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 42, 493, -4, 0.124, -3?\nAnswer: 493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**3 + o. Let j(f) = -f**3 - 5*f**2 - 2*f - 1. Let a be j(-5). Let l be (6 - a)*(-1)\/3. Determine m(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -4*x + 11, -5*m + 0*x + 3*x = 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.56, -1\/454, -1.9?\nAnswer: 3.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35, -92, -191, -332, -515?\n\"Answer: -21*a**2 + 6*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-1*sqrt(136) - sqrt(136) - sqrt(136)))\/(sqrt(8) + 1*sqrt(16)\/sqrt(2)))**2*2.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 829637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*v - 127*v + 37 = -3*n - 7, -4*n = 3*v + 17 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1032748 and 174.\nAnswer: 3098244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 14*b**3 - 14*b**2 - 52*b + 683. What is d(5)?\nAnswer: 1823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1222012022002 (base 3) to base 15\nAnswer: 15a392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 1. Let b = -6 - -9. Let c(h) = h**2 - 3. Let f be c(b). Suppose -2*y - y + f = 0. Determine i(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o - 31 = -26*o - 7 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4129087.\nAnswer: 4129087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(-2\/9)*h)\/h*h))**(26\/3) assuming h is positive.\nAnswer: h**(52\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 235 * 24\nAnswer: 5640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262341709.\nAnswer: 1699, 742991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 22 = -4*j - 2*p, -4*j + 5 = 3*p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.4 or 387765?\nAnswer: 387765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 95 = 13*b. Suppose 0*c - 2*c + 9*c = 0. Sort -1, -3, c, b.\nAnswer: -3, -1, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 4*j**2 - 4*j**2 + j**2. Let x(h) = -11*h**2. Determine x(b(y)).\nAnswer: -44*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12400 + 6?\nAnswer: 12406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*i = -21, -3*v + 2*i - 12 = i. Sort 10, v, -2 in decreasing order.\nAnswer: 10, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29.5*0.022627.\nAnswer: 0.6674965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 17 = 3*m - 8*z, 3*m - z - 11 = 0. Solve m*d - 5*k + 6 = 0, 0 = -0*k - k + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l + 2. Let z be j(-2). Let u(k) = -k**2 - 1. Let t(p) = -7*p**2 - 3*p - 7. Let o(y) = t(y) - 6*u(y). Give o(z).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 486*x + 14 + 490*x - 9 - 984*x + 6.\nAnswer: -8*x + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.3 + 32. Let d = g + -4. Let k = d - 7.9. Round k to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 11232*w**5\/7 - 9936*w**4\/7 - 1314*w**3\/7 + 236*w**2 + 232*w\/7 - 16\/7 = 0.\nAnswer: -1\/4, 2\/39, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 526478070 divided by 850530\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-432)\/18)*(120\/(-28))\/(-5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 2*l - 27. What is s(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*a = 2, 137*i = 138*i + 3*a + 12. Solve -i*q + 7 = -2*l, -3*l + 4*q - 8 = -0*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11089801 is divided by 1844?\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 51155, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - s + x - 630, x - 1 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 11) to base 15.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37297 and 3173?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -0.1, -14897, -18 in decreasing order.\nAnswer: 5, 1, -0.1, -18, -14897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -2.142?\nAnswer: -0.8568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 52689, 52685, 52681, 52677, 52673, 52669?\n\"Answer: -4*o + 52693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60150994694 - 60150994694 + 7*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -268444*z - 16674 wrt z.\nAnswer: -268444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 214 - -1?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19444255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2871743 divided by 25.\nAnswer: -2871743\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-19)\/(y\/y**11))\/((y*y**4)\/y*(y\/y**(-8))\/y))**(-30) assuming y is positive.\nAnswer: y**630","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - l - 2*l + 7 = 0, -9 = -3*l. Let o be (k + (-4)\/(-2))\/(3\/18). Suppose 18 = 4*d + o. Solve t + d = -2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93172497617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147.3 - -148. Sort -1, g, 1, 0 in decreasing order.\nAnswer: 1, g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 4*n - 2. Let w be o(-6). Suppose -a = -0*a - w. Suppose -l + 3*f = -5*l + 295, 2*f - a = 0. What is the highest common divisor of 28 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 10*v + 13. Let r be k(-9). Suppose 7 = -3*l + r*l. Solve 13 + l = -4*j + 5*i, -5*j + 2*i - 8 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -4*v + q + 111, -4*v + 5*q = -150. Suppose 2*t - v = 4*x, -x + 0*x - 55 = -3*t. Let n be (-7)\/(-9) + 4\/t. Is -1\/4 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*m**3 - 47*m**3 + 2 - 35*m**3 - 9*m + 0*m**2 - 2*m**2 + 110*m**3 in the form s*m + h + g*m**3 + v*m**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8968 - -8988. Solve 5*q = -2 - 23, 5*a + q = i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16091 is divided by 760.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, f: 1, q: 1, w: 1, l: 1, h: 2}. Give prob of picking 2 h and 1 m.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 82*u + 3. Let m(l) = -1041463*l**2. Determine r(m(z)).\nAnswer: -85399966*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-181*g - 41*g - 40*g)*(-g**4 + g**4 + g**4).\nAnswer: -262*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 82*l**2 - 30*l + 1295. What is b(41)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u - 5. Let x(l) be the third derivative of -11*l**4\/24 - 3*l**3\/2 + 2*l**2. Suppose -9 = 3*p + 2*f, -18*f = 4*p - 21*f + 29. Give p*y(t) + 3*x(t).\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h + 9*h - 27*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acw when three letters picked without replacement from wcccwocwcwwawacotw?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -270.089626 rounded to one decimal place?\nAnswer: -270.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0787831 * 2.\nAnswer: -0.1575662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7052 divided by -5.\nAnswer: 7052\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -6*z + 56 + 365. Calculate the remainder when z is divided by 55.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -31, -43, -59, -79?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-603))\/(-1)*(-10560)\/8800\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 10*n**2 - n**2 + 2*n**4 + 10*n**2 + n - 3*n to the form s + t*n**4 + k*n + b*n**3 + x*n**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.71414899 rounded to 3 dps?\nAnswer: 14.714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**4\/12 - 7*m**3\/6 + m**2 - 5*m. Let b be s(-7). Determine o, given that -2*o**2 + o**3 - 2*o + o + b*o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 25. Let l be (o\/(-2))\/(7 - 4). Suppose -4*m = -m. Solve m = -l*y + 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -36\/5. Let v be 8*(120\/(-50) - (-9)\/(-15))\/(-12). What is the closest to -2 in k, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72 - 2?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.6 - -108.4. Let l = 435791 + -435917.99925. Let m = j + l. Round m to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-11)))\/w**(-4\/13) assuming w is positive.\nAnswer: w**(147\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*z = 310*z + 4*v + 9, 0 = 4*z - 5*v + 8. Let k(b) be the first derivative of -b**3\/3 + b**2 - b - 1. Let p be k(1). Is p > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 7:20 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -556?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 9:22 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1203 - 1195. Solve 0 = -u + 3*g - 6, 2*g - d = u - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 - 69648168585\nAnswer: -69648168585.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267304 is divided by 897.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmt when three letters picked without replacement from tththhtmtihh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-323*u + 2965*u + 2009*u)*(-4*u + 3*u + 3*u)*(2*u + 2*u - 6*u) as o*u + p*u**3 + c*u**2 + f and give p.\nAnswer: -18604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3952 and 89024.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 761 - 487. Suppose 5*v = -a + 70 + 82, -2*a - 4*v = -z. What are the prime factors of a?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 28 = -2*o, 16 = 2*f - o - 11. Suppose b + 4*w = -f, 0*b = -2*b + w + 19. What is the remainder when 88 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 176 and 2.5.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + -3 + 3 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 195 + -198. Put o, 2, 0, 12 in descending order.\nAnswer: 12, 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/186 and 21\/50 - (-26)\/325 - 161\/(-840)?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2632145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -362 - -216. Let x(r) = r**3 + 24*r**2 + 5*r - 28. Let t be x(-24). Let p = y - t. Solve 0 = -u - p*u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 242*u**2 + 123*u - 254. Let y be x(2). Calculate the highest common divisor of 780 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from pmpmimmpippppppppi.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 bigger than 132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*h - h - 3*h + 0 + 0 - h + (-1 + 0 + 2)*(0*h + h + h) + 4*h - 6*h + 0*h.\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 17 (b) -9 (c) -158 (d) 0 (e) -4\/7 (f) 6.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60691 - -2.\nAnswer: -60689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32420 is divided by 718?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 138\/30 + (-6)\/10. Let s = 3431 - 3429. Sort d, 28, s, -1 in ascending order.\nAnswer: -1, s, d, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 325*n**4 - 31*n**3 - 94*n**2 - 4*n + 1105919 wrt n?\nAnswer: 3900*n**2 - 186*n - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -7*a + 4*a. What is a rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**4\/12 - 4*c**3\/3 + 5*c**2\/2 + c. Let t be g(6). Let s = -5 - t. Solve s + 7 = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8\/297 - 67756\/1485. Let w = a - -46. What is the second biggest value in 0.1, w, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28473?\nAnswer: 3, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**8)\/(m*m\/(m**(-1)*m))*(m**3*m)**(-45))**25 assuming m is positive.\nAnswer: m**(-4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**4*o*(o\/o**17)\/o*((o*o*o**(8\/13))\/o)\/o**(16\/3) assuming o is positive.\nAnswer: o**(-613\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (3 - -1)) + 0. Solve j = -3*q - 2 - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1f2d3 (base 16) to base 5\nAnswer: -13041244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 299 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 58 + -47 + (11 - 2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 46. Let x(w) be the third derivative of -w**4\/8 + w**3\/6 - 5*w**2. Let j be x(-1). Solve -5*z = -d*z - 2*m + 8, -19 = j*z - 5*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5572.5 * -0.09.\nAnswer: -501.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 4*j + 8*j - 35 - 3*j. Let k be n(-35). Solve k = -0*h - 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*y = -13*y - 6*y. Let w(o) = -9*o + 5. Calculate the remainder when 127 is divided by w(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97610087 rounded to the nearest one million?\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16\/7, 1\/5, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8989*r**3*y**2 + 133*r**3*y + 3461815*r**3 with respect to y.\nAnswer: 17978*r**3*y + 133*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(3\/2)))\/k**(-21) assuming k is positive.\nAnswer: k**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*l - 4, -2*f + l = -2. Suppose f*g + 3*o = 8*o + 376, -3*o = -5*g + 632. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*c**2 + 20*c**2 - 38*c**2 - 22 to s*c + i + d*c**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 5 = 3*a - 95, 7*u = 39*u + 3*a - 960 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9386 is divided by 313.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164741.\nAnswer: 151, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11\/66*-6)\/(-1))\/(1\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200212212333 (base 4) to base 6.\nAnswer: -503104143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0807, -0.1017, -7?\nAnswer: -0.0807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/10 and 143\/21900.\nAnswer: 21900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*u + 46409208 - 79984459 = 134520749. What is u rounded to the nearest 10000?\nAnswer: 2470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105284\/3 + 36168. Let w = 25973\/24 - u. Let g = 36115\/6 - 6035. Calculate the common denominator of g and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 divided by -1231.\nAnswer: -104\/1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6*f**2. Let x(r) = 6*r**2 + 6*r. Give x(g(h)).\nAnswer: 216*h**4 - 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -128. Let i = -68 - d. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*r = 3*c - 6, 13 = 4*c - 5*r. Put 7, c, 5 in ascending order.\nAnswer: c, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4, 1\/2, 1593, -25, 32?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 393.61875 and -0.2405?\nAnswer: 393.85925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x**3 + 17*x**3 + 7*x**3 + 13*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*y**4 - 4138*y**3 - 16185*y**2.\nAnswer: -72*y - 24828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - p - 29, -25 = -3*p - 2*p. Let w = -30 + 14. Let o = w + a. Calculate the highest common divisor of 5 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 0*b + 5\/12*b**4 + 0 - 12*b**2 + 3\/2*b**3. List the prime factors of z(3).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*m**3 + 2 + 2*m**4 - 21*m**2 - 2*m - 40*m**3 - 36*m**3 to the form z*m**3 + w*m + o*m**4 + a*m**2 + d and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 3, 0.7, 2, -26?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3706*z = 3302*z + 9300*z + 405474 + 795486 for z.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4, -2*y - 2*i - 1 + 9 = 0. What is the greatest common divisor of y and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 101 + 12640?\nAnswer: 12741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -13*h + 96. Suppose 0*q + h*q - 112792 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180 + -181. Let b be 0\/((h - 2) + 1). Solve -i - 11 + 6 = b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.546 + 0.054. Let b = 1.53022 + -10.12959. Let q = b + l. What is q rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 225850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 5:24 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 566653819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 > -6890\/539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 1875818.\nAnswer: 120052352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -9\/5*c**2 + 3\/5*c**3 + 9\/5*c - 3\/5 = 0. What is c?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 4. Let o = 647\/17 + x. Do o and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30421748.\nAnswer: 2, 7, 269, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = 2*l + 3*a + 140, -5*l - 6*a = 64 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 8:58 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8795 + 4645. What is w rounded to the nearest one hundred?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\/(-12) + (-90)\/1980\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201022020 (base 4) in base 14?\nAnswer: 376d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -34 + 18 + 8 + -23\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*n + 2279 + 779 = 0 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 36*q + 13 - 70*q + 30*q. Suppose -k - z + 22 = -3*k, -3*k - z = 33. What is the remainder when t(k) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 767 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(sqrt(275) + sqrt(275) + -1*sqrt(275) + -5 - (0 + -1*sqrt(275))).\nAnswer: -50*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -18 (c) -6\/7 (d) 0 (e) 2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 617 = 2*v - 3*i, 2*i + 1222 = 7*v - 3*v. Suppose -17*r - v = -21*r. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -738015 bigger than -737868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 18144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1959 + -1958.999097. Round m to 5 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = -4*m + 32, 160098*q - 160101*q = 6 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 f when three letters picked without replacement from vsvvvvefesweweweve.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/7, -5, -5\/2, -1\/2 in decreasing order.\nAnswer: -1\/7, -0.3, -1\/2, -5\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0, -25 in increasing order.\nAnswer: -25, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 + 68. What are the prime factors of l?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47057, -47067, -47089, -47129, -47193, -47287, -47417?\nAnswer: -47589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759 is divided by 97.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44234919.000196 - 44234796. Let l = c + -123. What is l rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**3\/7 - 3*r**2\/14 + 6*r\/7 + 3. What is m in k(m) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/69237 and 53\/80541.\nAnswer: 3946509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8893220838 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 33 = -3*f, 3*c = 4*f - 0*c + 44. Let b = -11 - f. Suppose r + b*r - 51 = 0. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -481 + 731. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + n + 1. Suppose -v - 8 = -2*k, -4*k + 16 = 3*v + 2*v. Suppose 0 = k*b + b + 5. What is x(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 13) in base 16?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - j - 4. Let d be p(0). Let y = -4 - d. Suppose y = -0*f + f. Solve -z = -f*z - 4*i - 9, 22 = 5*z + 3*i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + l**2 + 0*l**2)*(-5 + 1 + 2) - 3*l**2 + 4*l**2 - 3*l**2 - 2*l**2 - 2 + 2 - 106 + 29*l**2 - 126 - 30*l**2.\nAnswer: -9*l**2 - 232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 10*b + 101. Let y be a(6). Let s = 29 - 19. Suppose -1 = -y*t + v, 2*t + 0 = 3*v - s. Solve t - 3 = -2*o, -17 = 5*z - 2*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 11 = 3*w + 2*x, 4*w - 3 = x. What is the tens digit of 26\/w - 0 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-84) + (-1)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 7656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2153854 greater than or equal to -2153859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.6499429 + -6.3500499. Let a = -39 - -12. Let k = a - g. Round k to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 244*x**3 + 2*x**2 - 503. Let k(a) = a**4 + 486*a**3 + 5*a**2 - 1006. Let d(h) = 5*f(h) - 2*k(h). Differentiate d(w) with respect to w.\nAnswer: -8*w**3 + 744*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4376140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = p + 2*o - 14, 3*p + o = 49. Suppose -14*h - 10 = -16*h. What is the greatest common divisor of h and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4656 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 188 + 38. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 128*v - 272.\nAnswer: 4*(v - 2)*(v + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3982511, -3982548, -3982591, -3982646, -3982719, -3982816, -3982943?\nAnswer: -3983106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 2:28 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -9*a - 1. Suppose 7*g - 39 = 3*g + 3*z, 5*g - 5*z = 55. Suppose 4 = 2*r - g*r. What is h(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*z - 74*z + 33*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1125 - 8?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 144320998 divided by 72160499\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 582740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380746 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/24 and -13\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4914 - 4915. Put -5, -11, 3, -3\/4, n in ascending order.\nAnswer: -11, -5, n, -3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(-1800)*4)\/(216\/40)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 42\/223, 4, 21?\nAnswer: 42\/223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 - r. Give y(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 17*b**2 - 16*b + 12. Let v be i(18). Let j = -192 - -90. Let x = j - -222. What is the highest common divisor of x and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 188585\/18 - 10481. Let u = 1\/17671 + -1219319\/353420. What is the common denominator of p and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 33. Let d be (4\/(-6))\/((-4)\/18). Suppose q = 3*m - d. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/40*-4)\/((-3)\/(-15)). Put -0.4, -1\/5, 5, t in descending order.\nAnswer: 5, -1\/5, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-6))\/(1\/(-102)). Suppose 0 = -0*t - 3*t + 5*a + 40, -2*a - q = -3*t. Suppose 5*z - 20 = 430. Calculate the highest common divisor of z and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-seven fifths of a micrometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -101067, -101070, -101073, -101076, -101079, -101082?\n\"Answer: -3*u - 101064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijwliniww. Give prob of picking 1 i and 1 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**4\/6 + 23*l**2\/2 - 6442*l. Give g(9).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7 + 0 - w**3 - 2*w**2 - w - 1 + w**2. Let f be s(0). Suppose -9*t + f*t = -270. Calculate the remainder when t is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 560 and 224?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 12:21 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -9. Let b = 5 - n. Let m be (-1 - b)*-6 + -1. Solve -m*u = -8 - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45*2\/(-4 - -14)*-1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23240 - -43940. Round q to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) -4 (c) 0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 13*b - 5. Let x(i) = -i**2 - 48*i - 507. Let o be x(-16). Let h(c) = c**2 + 7*c - 2. What is o*h(a) - 2*m(a)?\nAnswer: -a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/188937 and 12\/104965.\nAnswer: 944685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*n + 25 + 19 = 0, 5*t + n - 55 = 0. Let y(m) = 21 + 18 - t + 7*m. Let i be y(-11). Round i to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177207 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**2 + 0*l - 19\/3*l**3 + 5. Let g(s) = s. Let v(t) = 3*g(t) + n(t). What is the second derivative of v(w) wrt w?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278407.5687 rounded to the nearest ten?\nAnswer: 278410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110001 (base 2) to base 9.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 + 2*r**2 - 7*r - 9. Give b(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 9) to base 3.\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22259428003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/18 and 16\/99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 0 + 33\/2*o**2 + 17\/10*o**5 + 0*o**3 + 0*o**4 + 6*o. What is the first derivative of p(s) wrt s?\nAnswer: 102*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y - 11. What are the prime factors of k(7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from ruh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2251 = -d + 14*i - 10*i, 4*d - 2*i = 9060. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*n**2*r**2 + c**2*n - 4*c**2*r**2 - 2*c**2*r + 2*c*n**2 + 5*n*r wrt r?\nAnswer: 4*c**2*n**2 - 8*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**5)\/r*r\/(r*r*r**(1\/15)))\/(((r**(4\/5)*r)\/r)\/(r**(-1\/7)\/r)) assuming r is positive.\nAnswer: r**(-841\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s**2 + 11*s + 11. Let z(r) = -4*r**2 - 5*r - 5. Let a(l) = -3*q(l) - 7*z(l). Let c(w) = -w**2 - 2*w - 2. Give 4*a(v) + 3*c(v).\nAnswer: v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 2*o**2 + o. Let c(f) = -f**2 - 2*f - 2. Let x be c(-1). Determine k(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (351\/(-36) + 9)\/((-9)\/120) - (-498)\/(-48)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -42, -209, -626, -1407, -2666, -4517, -7074, -10451?\n\"Answer: -19*m**3 - 11*m**2 - m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/6 - (-4)\/6. Suppose -3*s - 5*k = t, -4*k = 3*s - 3 + 6. Calculate the least common multiple of ((-6)\/s)\/2 - -12 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 23. Let j(i) = i - 9. Let r be j(z). Suppose r = -2*x - 0*x + 4. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ididicccddddccc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*p = -6*l + 20, 2*l - 3*p + 4 = 0. Solve -n = n + l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-7 + (1 + -2 - -3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -12. Let h = 190385 + -190383. Factor -4*g + 1\/2*g**h + s.\nAnswer: g*(g - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145345*w**3 + 472*w**2 + 8*w + 17 wrt w?\nAnswer: 872070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 206*m*t**2*v + 17*m*t**2 - 3*t**2 - 2821*t*v wrt m.\nAnswer: 206*t**2*v + 17*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 0 + j**2 - 3\/20*j**5 + 0*j**4 + 0*j**3 + 2*j. Differentiate o(i) wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(432)*1 + 4 + 3) + ((sqrt(144)*2)\/sqrt(12)*-3*5)**2.\nAnswer: -36*sqrt(3) + 10779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2 = -8, -2*m + 20465 = 3*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89311.\nAnswer: 31, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256805, 256797, 256775, 256733, 256665, 256565, 256427?\nAnswer: 256245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-28)*5\/2*-8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 76.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 27735900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 238 - -1735. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3979 + -2221. Does 22 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15291, 15288, 15283, 15276?\n\"Answer: -h**2 + 15292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1651 and 0.2?\nAnswer: -330.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 11. Suppose -g + 3*g - 108 = 0. List the prime factors of -5*n\/((-105)\/g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -3*u**6\/20 + 17*u**3\/6 - 39*u**2. Find the first derivative of y(c) wrt c.\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1121 - -1121.5. What is the third biggest value in -134, -0.4, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137*a - 16*a - 825*a**2 - 58*a + 829*a**2 to r + m*a**2 + x*a and give x.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 40240905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*g - 32 = -i - 83*g, -2*i = 3*g - 39 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -368 divided by 218?\nAnswer: -184\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 962 and 120731?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0429 - 0.0843. What is o rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 343 - 13?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/18 + 35708\/18 + 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 10*k**2 + 6*k - 20. Let i be r(-9). Let h(l) = -2*l**2 + 8*l + 2. Let w be h(i). Let c = 45 + w. Solve p - 4*p - n = 4, -p - 28 = -c*n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1051889*c**3 - 3120491 wrt c?\nAnswer: -3155667*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 25*g - 23. Let w be p(1). Let i(q) be the third derivative of 1\/540*q**6 - 1\/270*q**5 + 0*q + 0*q**3 - 7*q**w + 0 + 0*q**4. Factor i(n).\nAnswer: 2*n**2*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 413, 817, 1215, 1607, 1993?\nAnswer: 2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3, -2*i + 8 = -3*k + 71. What is the greatest common divisor of k and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -389*p + 2*p**4 - 523*p - 384*p + 1105*p - 2 to the form a*p**3 + k + b*p + j*p**2 + o*p**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-323)\/(-68))\/19*(-16)\/22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -249?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*n**3 + 5496038*n + 17595378?\nAnswer: 9*n**2 + 5496038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5960, 6104, 6248, 6392, 6536?\nAnswer: 6680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-8 - -12 - 75\/18)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -71c (base 13) to base 4\nAnswer: -102320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*z - 5 = -37*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*o + o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17937 + -18066. Let r = -3 + 3.1. Which is greater: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8*h - 36. Let x be g(7). Suppose -12*a + 8*a = -x. Solve 0 = -4*l + a*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 3:55 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 38*q**2 + 251*q - 335. Let t be v(30). Suppose 3*w - 4*a + 7 = 0, 0 = 3*w + w + a + 3. Put -9, w, 5, t in descending order.\nAnswer: 5, w, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-2\/7)*c)\/(c\/((c*((c*c**2)\/c*c)\/c)\/c*c)))**(-29))**(-6))**(2\/159) assuming c is positive.\nAnswer: c**(2204\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315, -219, -123, -27?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -147 equal to -163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279175 divided by -20.\nAnswer: 55835\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27802\/76 - 27\/(-18). Let l = q + -367. Let t = -0.99 - -0.89. Put t, -3, l in decreasing order.\nAnswer: l, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) -13 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2\/11 + 59375290*c\/11 = 0?\nAnswer: 0, 29687645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -y + 4*k, 43*k = -3*y + 26*k - 94 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13034 (base 5) in base 12?\nAnswer: 70b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 - 4*b**2 + 4*b - 2. Let a be f(3). Let m = -128 + 257. Let n = a + m. What is the highest common factor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 2, 9, 4 in ascending order.\nAnswer: -22, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4610\/3 + 64693\/42. Let p be (2 - 1)*(-8102)\/(-8). Let z = p + -28467\/28. Calculate the common denominator of h and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7*v - 12242 = 2*c, 12239 = 4*v + c. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**9\/72 + t**5\/12 + 10*t**2. Find the third derivative of b(u) wrt u.\nAnswer: 840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-6 - 25) + 13 + -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - 19\/(19\/(-390))?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190301?\nAnswer: 190301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 783 and 918?\nAnswer: 26622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 1051*t - 105990. What is r(113)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (-69 - -29) - 67?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbpb when four letters picked without replacement from {p: 7, f: 2, l: 5, b: 4}?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7\/409 - -14203\/6544. Calculate the common denominator of t and -67\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 3 - 25 = 0. Suppose 198 = 6*x + 78. Suppose -5*i + c = 19, -q*i + 0*c + 2*c = x. Put -4, -2, 5, i in decreasing order.\nAnswer: 5, -2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58387 - 0.2.\nAnswer: -58387.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1678, -6716, -15108, -26860, -41978, -60468?\n\"Answer: -b**3 - 1671*b**2 - 18*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, c: 5, e: 6}. Give prob of picking 2 e.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 12*f**2. Let k(x) = -135*x**2. Give q(k(u)).\nAnswer: 218700*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, l: 4}. Give prob of sequence ppp.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 99 - 40 = 4*h - 12, -10 - 24 = 10*h - 4*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -39*m - 142. What is the remainder when r(-6) is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/13 - 147840*x\/13 - 2732083200\/13.\nAnswer: -2*(x + 36960)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (2 + -3 + -2 - -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z = -r - 22, -3*r - 2*z = 6. Solve 5*v = -4*j - 33, r = 4*j + 4*v + 30 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 2*h - 14 = 0, -4*h + h - 13 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6)\/(-15))\/((-5)\/(-150))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g**2*p**2 + g**2*p*u - 330*g**2 - 971*p**2*u wrt u.\nAnswer: g**2*p - 971*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpqkkkrrpkkrrkkkk. What is prob of picking 1 k and 1 p?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a + 4 = 0. Let j(x) = -x**2 - 2. Let z be j(0). Let g be 3\/a + (-1 - z). Solve p = g*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/22*(-2)\/3*(-378)\/189\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**5\/2 + u**4\/12 - 4*u**3\/3 + 4*u**2 + 4*u. Let t(a) = a**3 + a - 1. Let z(f) = 2*c(f) + 18*t(f). Factor z(k).\nAnswer: -2*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2\/4)*-2. Suppose -2*i + 0*d + l*d = -40, 5*i + 4*d - 86 = 0. Let a(m) = 3*m - 6. Let t be a(8). Calculate the greatest common divisor of i and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2378.4 + -2170. Let f = -236 + 46. Let z = f + l. Round z to zero dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/2 (b) 1 (c) -1\/14 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 9:06 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(481\/13)\/(-2923)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5740 * 0.05\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1515 - -2282. What are the prime factors of b?\nAnswer: 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 - 91 - 40*h)*(-6 + 1 + 2)*(0*h + 0*h - 3*h).\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 divided by -33?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**5\/15 + 4*h**2 + h - 379. Let u(t) = 2*t**2 + 304*t. Determine u(p(o)).\nAnswer: 32*o**4 - 1216*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**8*f**(1\/2))\/(f**(-1\/2)\/((f*f\/(f\/(f\/f**8*f*f)))\/f)))\/(f*f**(2\/23)*(f\/f**(-12)*f*f)\/f)**33 assuming f is positive.\nAnswer: f**(-11359\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(84) + sqrt(84)*-1)*-5)\/((sqrt(144) + 6*1*sqrt(144))\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12845*x - 6064*x - 6782*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 296 = -15*k. Let y = k + 78. Suppose -y*p = 526 - 1562. List the prime factors of p.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*n = 19, -3*v - 8 = -0*n + n. Suppose 5*k = 4*m + 9, -5*m = 2*k - 0 + 3. Which is the nearest to k? (a) -1\/5 (b) v (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/14*(-1925)\/30)\/((-850)\/(-60) + -14)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 128*k + 133*k = 467, -4*j + 455 = k. Solve 112*c - j*c - 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g - 3*v + 13, 0 = -2*g + v + 8. Suppose 12*w = 11*w + 5*z + 4, g*w + 5*z = -10. Let y be -14*(w + 0) - 2*-1. Solve 0 = y*d - 13*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times -13.6?\nAnswer: 380.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 11*x + 34. Suppose 70 = -0*m + 5*m. Let j be z(m). Let h(i) = -i**3 - 8*i**2 + 7. Give h(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 18035*c + 18039*c + 18 = 0, 0 = -4*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 16*z = 2224. Calculate the remainder when z is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -2 - (55 + -48).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*d - 836 = 0, 564 = 2*j - 0*j + 2*d. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 590.9457l?\nAnswer: 590945.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o + 86 = 26*o - 2*j, 2*o - 49 = 3*j. Solve 9*n - o*n = 11*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 23 + 11*a + 32 - 61 - 6*a**2 + a**3. Calculate y(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*3*sqrt(612)*4*4)**2.\nAnswer: 35251196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23492 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 = 35. Let c(u) = 0*u - 56 + w + u + 25. Let p(h) = h**2 - 5*h + 1. Let m be p(4). Let l(z) = 2. Give m*l(t) + 2*c(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 1 + 20 + -1 - -32?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - o**2 - o - 1 + 0)*(-8 + o**2 + 8).\nAnswer: -o**4 - o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 14 - 6 = 0. Suppose n - 3*m = -5*m + 5, -5*n = 4*m - 25. What is the second derivative of 3*v - v**n - t*v - 2*v wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from juvihmi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530 = 7*t + 495, -5*t + 22 = -3*q - 0*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -35587*n**3\/2 - 854097*n**2\/4 - 355897*n - 45 = 0. What is n?\nAnswer: -10, -2, -9\/71174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-1*1)\/((-2*sqrt(32))\/sqrt(4)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/10*(0 - 1). Let r be (12\/20)\/(10\/50). What is the third biggest value in 2\/13, r, q, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b - 5*z = -163, 2*b - 12*z + 14 = -9*z - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1772 - 7.7928. Let y = v + -0.03. Let w = -8.15 - y. Round w to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 7 = 19. Sort 22, l, 0 in decreasing order.\nAnswer: 22, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1484 - 879. Let c = p + -604.999571. Round c to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**3 - 2134*q**2 + 17168*q - 34400 = 0?\nAnswer: -1075, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -18. Let t be 4\/(-6) + f\/(-3). What is the units digit of (t - 2)\/((-4)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1204*z - 1081*z = -1476 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -2*j + 32, -3*l = -111366*j + 111367*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2557 - -0.21\nAnswer: -2556.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5436 = 87*c + 390. Solve -74 = -95*f + c*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 366*s + 6292. Calculate w(-18).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**2 - 2*k**2 + 0*k**2)*(-96 - 19 - 160 + 36) to b*k + l*k**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 7)*(51 + 17*w - 51).\nAnswer: 68*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*g + 196 = -6, -2*i + 4*g = -86. Let u be (5 - 9) + 1 + i. Let j = 60 - u. 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: What is -685.3364 rounded to 1 dp?\nAnswer: -685.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 26*f + 155. Calculate j(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14, -62, -142, -254, -398, -574?\n\"Answer: -16*m**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4014, -7053, -18120, -29187, -40254, -51321?\nAnswer: -62388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.85193544 * -5.\nAnswer: 19.2596772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2252983719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 8*p**2 - 8*p - 6. Give i(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20367 and 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 38487*s - 38484.\nAnswer: -3*(s - 12828)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 0 - 1\/8*t**4 + 2*t**2 + 0*t - 1\/2*t**3. What is the first derivative of s(h) wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 396?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (528\/(-714) - (-2)\/(-17)) + (-93360)\/(-140). What is the greatest common factor of b and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 3128 = -w. Let d = 188 - w. Let p(h) = h**3 - 5*h**2 + 7*h - 4. Calculate p(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 - 10*v + 4.\nAnswer: -10*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8065787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 2\/11, 10.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + sqrt(114)\/sqrt(6).\nAnswer: -5 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 15\/(-10))*0. Solve 2*w + 18 = 3*p, -3*w = p + 5 - s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y*y**(-18)*y*y*y*y*y*y\/(y\/(y**(-4\/13)*y)) assuming y is positive.\nAnswer: y**(-121\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000023596 rounded to seven decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12533.08792+-3\nAnswer: -12536.08792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992 is divided by 284?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758902303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6023 - -6067. What is the lowest common multiple of -2 - (1*-220)\/2 and q?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5937042 is divided by 2968517.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((((-132)\/(-33))\/88)\/((-2)\/6)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 49\/2*l**5 + 0 - 63*l**4 - 4*l**2 + 30*l**3 + 0*l = 0. What is l?\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/9, 2\/75, -0.4, 4, -2\/17 in decreasing order.\nAnswer: 4, 2\/75, -2\/17, -0.4, -16\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 4. Let n = -7 - -14. Calculate q(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*20\/(-15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000489837697 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 1)*3 + 1 + sqrt(396) + (2*sqrt(396))**2 + 6*(((sqrt(396) + 0 + sqrt(396))*5)**2 + sqrt(396) + (sqrt(396) + -1 + sqrt(396))*5).\nAnswer: 420*sqrt(11) + 239158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 7*p + 30. Let x = p + 8. Suppose -2*d = x*d - 80. Calculate the lowest common multiple of 6 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*j**2 - 122*j**2 - 83*j**2)*(0*j**2 - 5*j**2 + 2*j**2) + 2*j**3 + j**4 + 3*j**4 - j - 6*j**4.\nAnswer: 448*j**4 + 2*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 + 3*d - 2. Let g be j(1). Let s(r) be the second derivative of -1\/10*r**g + 1\/3*r**3 + 4*r + 0 - r**2 + 1\/6*r**4. Let s(i) = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**4\/4 - 8*h**3 - 11*h**2 + 33*h + 379. What is g(-23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2. Let l be 0 + t - 4\/(-2). Differentiate -6 + l + 4 - 2*d**3 wrt d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/7 (b) 0.5 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*v - 13, 17 = -5*s + 3*s + 5*v. Let y = -2 + 1.9. What is the closest to s in -1, 2, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5430699.\nAnswer: 3, 197, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 77e - -64c?\nAnswer: dca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {s: 1, t: 2, j: 1, w: 1, n: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2822047.\nAnswer: 43, 65629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h + 272 = -43*h. What is the least common multiple of 28 and h?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + 2993*u. Let o(g) = -g - 1730. Give o(q(x)).\nAnswer: 2*x**2 - 2993*x - 1730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*n + 25, 2*n + n = -4*q + 21. Let y(x) = x**3 - 5*x**2 + 8*x - 3. Does 19 divide y(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(6 - 4*j - 3 + 3*j).\nAnswer: 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9114 + 9116. Let r(p) = 7*p**2 + 5*p - 6. Let m(a) = -a**2 - a + 1. Let q(f) = 6*m(f) + r(f). Calculate q(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 7*g**2 - 3*g - 22. Let d be r(4). Let v be (-1)\/4 + 14\/(-8). Put d, v, 2 in ascending order.\nAnswer: v, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 313950.\nAnswer: 1\/52325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4500 and -9*((-1660)\/(-90) + -24)?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3909476380?\nAnswer: 2, 5, 3461, 56479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 11:20 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7101*a**6 - 1518*a**2?\nAnswer: -852120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77546 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 1. Let t be c(-1). Let m = 10 + -6. Sort t, -4, m in increasing order.\nAnswer: -4, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*j - 698*j + 175*j - 5 - 1267*j + 14*j**2.\nAnswer: 14*j**2 - 2019*j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9699558?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2229 + -8.\nAnswer: -8.2229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 100*k - 463. Suppose -3*q + 26 = -13. What is the remainder when g(5) is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 6*z + 6. Suppose 29 = -5*b + 4. Let o be t(b). Let h(m) = 18*m**3 + m. Calculate the remainder when h(o) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2166665 is divided by 1083138?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/108392 and -53\/26520?\nAnswer: 21136440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-33) + -2)\/((-7448)\/(-104272))\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 34. Let c = r - -14. Suppose p + 6 = 2*o - c, 10 = o + 5*p. Solve x - o*x - 4 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177904101 to the power of 1\/2, to the nearest integer?\nAnswer: 13338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81539, 3, -4, -17 in increasing order.\nAnswer: -81539, -17, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxaxaaaxxax. Give prob of picking 3 a.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/5))**24*g**(-3)\/(g*g\/(g\/(g\/(g*g\/(g**(3\/4)*g)*g*g)))) assuming g is positive.\nAnswer: g**(-151\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*l - u = -144*l + 7, -2*u = l - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037346677 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 - -66. Let o be (-5)\/2*q\/25. Suppose 3*r - 5730025 = 5*m, 10*m - 5*m - 3819975 = -o*r. Round r to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 5, 0.3, -1\/5.\nAnswer: -1\/5, -2\/17, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.05992077+-0.2\nAnswer: -0.25992077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vviv when four letters picked without replacement from vvvivvvvvivvvviv?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -758 - -753. Let l = -0.2 + -2.8. Let x = 2.9 + l. Which is the third smallest value? (a) x (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/(3*6\/(-72))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 190200 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: What is the next term in -19, -21, -23, -25, -27?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 9. Calculate o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -984*q - 1 - 4 + 5.\nAnswer: -984*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6627168.743 + -6633073. Let q = w - -5901. Round q to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 571481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*a - 18 = -87*a. What is the units digit of (17\/a)\/(28\/(-924))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6357 is divided by 900?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 85 = 17*d. Let v(u) be the first derivative of 2\/35*u**d + 1\/7*u**2 + 0*u - 4 - 1\/14*u**4 - 2\/21*u**3. Factor v(g).\nAnswer: 2*g*(g - 1)**2*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110110 + 11?\nAnswer: 1001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1))\/u**(4\/5)*u*u*u\/u**(2\/15)*u*u*u**0\/u*(u\/(u**4*u)*u*u*u\/u**(-4)*u)\/(u**(-1\/2)\/(u*u\/((u**(-2\/9)\/u)\/u))) assuming u is positive.\nAnswer: u**(1061\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2 and -9\/45120404.\nAnswer: 45120404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -4*v + 5*w, -11*v + 14*v - 4*v = -6*v - 6*w + 104 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86778.75kg to micrograms.\nAnswer: 86778750000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -4.2, -1\/3, 3\/2, 16?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 24*n**5\/5 + 76*n**4\/5 + 12*n**3\/5 = 0.\nAnswer: -3, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916511.\nAnswer: 916511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30663573329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 18029*z**3 - 14*z**2 - 7*z - 14. Let y(o) = 36054*o**3 - 30*o**2 - 15*o - 30. What is 15*i(w) - 7*y(w)?\nAnswer: 18057*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -7 - -9 - (-4 + 0)) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(((c*c**(1\/19))\/c)\/c))\/c)**(-19) assuming c is positive.\nAnswer: c**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 7*y)*(2*y**4 + 2*y**4 - 2*y**4) + (-1 + 0 + 2)*(3*y**2 + 2*y**2 + 3*y**2)*(-1610*y**2 + 1610*y**2 + 44*y**3).\nAnswer: 362*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 132441539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -285*v**2 - 2. Let w(g) = 2*g**2. Calculate c(w(u)).\nAnswer: -1140*u**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -f - 1 - 3, f + 5*l = -6. Let s be 1*3*13\/(-13). Sort f, s, 0 in decreasing order.\nAnswer: 0, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 804985656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1286 + 1294. Let h(t) = 7*t - 7. Suppose -1 = -n + 4. Let w(l) = 6*l - 7. Let i(s) = n*h(s) - 6*w(s). What is i(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 + -115. Solve a = c + 7*c - 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112 (base 3) to base 11.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1400\/15*(-165)\/2. Round v to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 66744?\nAnswer: 1\/66744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 653232523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in -1\/2, 13\/2, 4\/7, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h - 8*h - 24*h to the form i*h + w and give i.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 847 - 863 = 2*n, -4*n = -3*b + 22 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 131*b**2*g*y + 3*b**2*y + 2*g*o**3*y - 2*g*y - 2*o**3*y - 37*y wrt g?\nAnswer: 131*b**2*y + 2*o**3*y - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28400 and -5671.\nAnswer: 22729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 1\/6, -19, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)\/(q\/(q\/(q*q**(-6)\/q*q)))*q**7*q*q**3*(q\/(q*q**(1\/2)))**(-2\/111)*(q\/(q*(q\/(q\/q**(-1\/5)))\/q*q))\/(q**(-4\/3)\/q) assuming q is positive.\nAnswer: q**(8626\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 6 + 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 12:02 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00290824771 rounded to five dps?\nAnswer: -0.00291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 946, 950, 956, 964?\nAnswer: 974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-8)*-1)\/(-4)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 y when four letters picked without replacement from cyfycyycecy?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 16*h + 55. Let i be q(19). Let k be 0\/2 + 0 + i\/(-6). Which is the closest to k? (a) -5 (b) 6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 less than 14\/271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 14*d - 301. What is p(26)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -3. Let a(o) = 2*o**2 + 2. Let b be a(2). Suppose -2*f + b = 3*f. Which is smaller: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -0.0624.\nAnswer: 3.9376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -299, -1131, -3391, -7793, -15051, -25879, -40991?\n\"Answer: -119*t**3 + t - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32802093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 5 (b) -0.2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/35294448 and -113\/36072.\nAnswer: 317650032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 2*v**7\/21 + 4*v**6\/15 + v**5\/5 - 7*v - 17. Let a(w) be the first derivative of f(w). Factor a(j).\nAnswer: 4*j**3*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -4*l + 8*l, -2*l = -4*q + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 9*l**2 + 11*l + 9. Let k be (-59)\/7 + 24\/56. Calculate z(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6b8 (base 16) to base 14\nAnswer: 8ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by -21.\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2737748us to seconds.\nAnswer: 0.0000002737748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 22*s**2\/3 - 160*s + 126 = 0.\nAnswer: 9\/11, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39777 - 39777 + 4728*k**2 - 2716*k**4 wrt k?\nAnswer: -65184*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (946\/(-1419))\/(1 - 26\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11932.\nAnswer: 2, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -12 - 11) + 10 + 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3079d3 (base 16) to base 12\nAnswer: 10925ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -2.4, -6, 1\/7, -90, -9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-18) + (-12)\/18. Let h be 15\/(-3) + -1 + 3. Let n = -139.9 - -140. What is the nearest to n in h, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 219246875 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, g: 1, k: 5, z: 2}. Give prob of picking 1 g, 2 k, and 1 z.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2)*(-3 + (-7 - -5)). Let u(o) = -6*o - 13. Let c be u(f). Let z = 13 - c. Sort 0, 2, z, 13.\nAnswer: z, 0, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*c + s - 7, -c + 3*s - 8 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 26*i**3 - 24*i**2 + 280*i - 11. Let q(y) = -14*y**3 + 13*y**2 - 140*y + 6. Give -6*p(v) - 11*q(v).\nAnswer: -2*v**3 + v**2 - 140*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50438059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.4 - -2.42. Let u be (-6)\/(-27)*(-30)\/4. Which is the third smallest value? (a) u (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10)\/((-11)\/((-165)\/78))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = -4444 - 146. Calculate the highest common divisor of v and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.8692 centimeters to nanometers.\nAnswer: 48692000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. Suppose 44 = h*r - z, 0*r + 3*r + 5*z = 33. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-17)\/l)\/l*l*l*((((l\/l**(-28\/9))\/l)\/l)\/l)\/l*l\/((l*l**43\/l)\/l)*l**(-22)*l*l assuming l is positive.\nAnswer: l**(-701\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-14)*7*-1. Let d(y) = -y**3 - 1 - 4*y - 4 + 7*y**2 - 2. List the prime factors of d(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*f - 3. Let v be (-5)\/(-3) + (-2)\/(-6). Solve 0 = v*t - t - f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*y - 34*y - 12*y)*(-2*y**2 - y + y) - 1 + 3 + 3*y**3 - 5*y**3.\nAnswer: 46*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(99)*5)**2*4 - (2*sqrt(33)*-3)\/(3*(sqrt(3) + sqrt(6)\/sqrt(2))).\nAnswer: sqrt(11) + 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.4428 at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -71159.9 rounded to the nearest one thousand?\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v = 15. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*o - 11 = 0, 0 = 8*o - 3*o + 5. Let j(f) = -9*f - 24. Let q be j(-27). Suppose -l*g = -3*w + q + 9, -2*w + g = -155. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 = 27*o + 4*o + 14 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 781.7 (b) -3.1 (c) 2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 5. Let q be m(6). Let y be -5*(3\/5)\/q. Suppose -5*t = -4*t - 5*p - 13, -5*p = -y*t + 49. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12090882 and 53.\nAnswer: 12090935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 695 - 698 + 1395 - 9*c. Let s be 3\/(((-9)\/(-21))\/1). What is d(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/12 - (-1395)\/36. Let n = -689\/18 + u. Which is the closest to -1\/5? (a) n (b) 1 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2179*r - 12 = -2175*r, -2*k + 3*r + 5 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**7\/168 + c**6\/360 - 2*c**3\/3 - 5*c. Let r(o) be the second derivative of q(o). Find the third derivative of r(a) wrt a.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.671 plus -3?\nAnswer: -113.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 - 36*f + 175. Let o be g(5). What is the highest common factor of o and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54297*2.\nAnswer: -108594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 258*n**2 + 9608*n - 168. What is j(33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.27 - 0.73. Which is the closest to 0? (a) u (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.343 from 3035830401.\nAnswer: 3035830401.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8586 + -170037.\nAnswer: -178623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 11 = -t, 5*o - 4*t - 10 = t. Suppose 0*l - o*b = -l + 23, -b - 37 = -4*l. Calculate the lowest common multiple of l and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122661409 by 9435493.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*u + 2*l - 13, 4*u = 3*l - 5. Solve -4*s = u - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b31 - -1?\nAnswer: b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/6)\/(4\/(-6)). Let s(t) = -t**3 - 14*t**2 + 14. Let b be s(-14). Calculate the highest common divisor of q and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-15*(-32)\/360))\/((-20)\/25)\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -236 (b) 5 (c) -2040\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by (-247)\/(-7) + 12\/(-42).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a meter in millimeters?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) + 31186\/(-12). Let d = -108803\/42 - b. Let n = -146993\/16 - -9191. Calculate the common denominator of d and n.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -456609, 0, -1, 3.\nAnswer: -456609, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (25 - (-20 + 6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 428435?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*g**3 - 1058*g + 1058*g)*(3*g**2 + 53*g - 53*g).\nAnswer: -204*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/59)*b\/b**8 assuming b is positive.\nAnswer: b**(-415\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1195 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**5 + 4*f**3*y + 36*f**3 + 2*f*y - 67*f - 2*y wrt f?\nAnswer: 40*f**3 + 24*f*y + 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1402 - -1384) + 1 + -4 + -43\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, 1, 0.3, 10, 4071?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y - 7. Let u be j(4). Is 6 a factor of -1 + 9 + u + (1 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33332\/9 + -3698. Calculate the common denominator of f and -13\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 2*w - 2*r + 76, 4*r - 189 = -5*w. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -28779, -3, -3\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + a = -620. Let o be (-10)\/(-4)*(-10)\/(-25). Suppose -o = -5*f + a. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 211*x**2 - 2*x + 2. Is i(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 k when three letters picked without replacement from {k: 2, u: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/200)\/(1\/2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 + -15 - (8 - 2)) + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5488 and 5356220.47?\nAnswer: 5361708.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-693)\/(-7) + 4*2 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**7\/35 - 6*f**3 - 4*f**2 - 3. What is the first derivative of n(s) wrt s?\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b11 (base 12) in base 4?\nAnswer: 2133331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1322*t + 2637*t - 1319*t. Let d(l) = -2*l + 18. Determine d(m(s)).\nAnswer: 8*s + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1459?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3703, -7410, -11121, -14836, -18555?\nAnswer: -22278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5 = -x - d, -x + 3*d = -9. Suppose n + 220006 = -x*b, -2*b - 4 = -0*b. Round n to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.04287 + 0.02487. What is u rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 0*n + 6. Suppose 0 = -5*i - 3*v + n, -i - 5*v - 6 = -2*v. Let a(b) = 17*b + 4. Is 20 a factor of a(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**8\/84 - 3*z**4\/4 + 31*z**2\/2 + 22. Let k(i) be the second derivative of r(i). What is the second derivative of k(d) wrt d?\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/8 and 143\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 1. Let v(g) = -6*g**2 - 6*g + 23. Let h(r) = -2*v(r) + 4*y(r). Is 6 a factor of h(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 22 = -2*c. Suppose 0 = -0*r - 4*r + c. Let t(a) = a - 4. Calculate the remainder when r is divided by t(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 220?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*(-2 + (-6)\/12). Solve 4*b = -30*f + o*f + 35, f - 28 = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(0 + sqrt(2) - sqrt(2)))**2 - (3 + -2*sqrt(2))) + sqrt(14)\/(-4*sqrt(112)).\nAnswer: -3 + 31*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(90)\/sqrt(225)))\/(-5*((sqrt(90) + (sqrt(90) - (sqrt(90) - (sqrt(90) - -1*sqrt(90)))) + sqrt(90) + sqrt(90))\/sqrt(10) + sqrt(9))).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100012020 - -12?\nAnswer: -100012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from vvfvvvffvvvvvv?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r*r**(2\/7))\/r*r)**(-4\/29)*(r*r*r**(-1\/4)*r)**(-8\/13))\/(((r*r**(2\/5)*r)\/r)**(-19))**31 assuming r is positive.\nAnswer: r**(10852287\/13195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(4) + -2 + 4 + (-2*sqrt(45) - (-5 + sqrt(45))).\nAnswer: -8*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.06 - 13. Let s = 1.06 - g. Let o be 2\/4*16\/14. Which is the nearest to -1\/2? (a) s (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/((-2)\/8). Suppose 5*g = -9*z + 898, -26*z - 2*g - 110 = -27*z. Suppose 171 = 3*a + 3*s, 0*a - 2*a + z = -h*s. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77940 is divided by 5647?\nAnswer: 4529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117181 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-3) + 1 + -1. Let x be -12*v*6\/(-8). Suppose 551 = 77*b + 224 - 366. What is the greatest common divisor of b and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 1:32 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -992\/7 at most as big as 4.0501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-26 - -22) + 4*1. Find the third derivative of 210*w**v + 12*w**5 - 146*w**2 - w**5 + w**4 - 5*w**4 wrt w.\nAnswer: 660*w**2 - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -7 (b) 1 (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 218 divided by -9\nAnswer: -218\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 divided by -432?\nAnswer: -121\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**2*o + 67*k**2 - k*o**3 - 398*o**3 wrt k?\nAnswer: 4*k*o + 134*k - o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -15*a**3 + 4*a**2 - 15*a. Let x(q) = 7*q**3 - 2*q**2 + 8*q. Determine 6*o(p) + 11*x(p).\nAnswer: -13*p**3 + 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16242 divided by -4?\nAnswer: 8121\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 3*z**2 - 9*z + 6. Determine j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*u*x**2 + 2805635*u + 7763680*x**2 + 4*x wrt u.\nAnswer: -3*x**2 + 2805635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13226 and 35734.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8074, -18843, -29612, -40381?\nAnswer: -51150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 410 = 3*f - 114, 3*k + 12 = 0. Suppose -3*i = -2*p - f, -i - 3*p = -0*i - 56. Does 28 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1012 + 155*n - 1012.\nAnswer: 155*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3))**42)**21 assuming u is positive.\nAnswer: u**(-2646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w + 51*w + 62*w - 22659 = 0. Let n = -14 + 70. What is the remainder when w is divided by n + (3 - (1 - -3))?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5393, -5392, -5391, -5390?\nAnswer: -5389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-56)\/(-6) - (-1)\/(-3). Suppose 4*n - 6 = -5*u - 26, u + 4 = 3*n. Let h = u + w. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 4. Let t(p) = -2*p**2 + 2*p + 1. Let a be t(i). Put 1\/7, -2, a in decreasing order.\nAnswer: 1\/7, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g - 4. Let u be l(-2). Solve 4*s + 20 = u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 955429 and 955447 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0487 (b) -2\/3 (c) 5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 125 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, -10, -19, -28, -37?\n\"Answer: -9*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6192*y - 111644 = 6154*y. What is the remainder when y is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 1 - 1)*(0 + 0 + 2)*(-5 - 3 + 2).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n - 141. Let j be m(-18). Which is the closest to j? (a) -2\/3 (b) -1\/5 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 2. Let p be f(0). Let s be (24\/294)\/((-2)\/(-7)). Factor 0 + 2\/7*a**p - s*a.\nAnswer: 2*a*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*b + 20 = 0, 6*f + b = 7*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 480*n**2 + 317*n**2 - 143*n**2 - 145*n**2 + 297*n**2 in the form k*n + i*n**2 + j and give i.\nAnswer: 806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 26, 5, 6, -4 in decreasing order.\nAnswer: 26, 6, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 43 (b) -5 (c) 2 (d) 2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5443910 divided by 5\nAnswer: -1088782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4277*z**3\/5 + 42071*z**2\/5 - 19987*z - 3495.\nAnswer: -(z - 5)**2*(4277*z + 699)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2 + 1520*m = 0.\nAnswer: -1520, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1210) - (sqrt(1210) - 3*sqrt(1210)))*4)\/(-6*(sqrt(605)*-3 - sqrt(605))) + 2.\nAnswer: sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 13 = -4*o, -2*o = -i + 132 - 121 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -635, -1270, -1905, -2540?\n\"Answer: -635*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5*f - 586727, 2*j - 8130 - 383015 = 3*f. Is (-90)\/108 - j\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229384\/16 + 2\/(-9) + (-182)\/(-252).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*k - k + 1, 0 = -d + 3*k - 19. Let c be -6*((-10)\/4)\/(-5) - -4. Put d, 0, c in decreasing order.\nAnswer: c, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i + 28*i = 0. Suppose 13 = 4*r - 7. Suppose 591 = r*g - 4*t, -3*g + 356 = -i*g - t. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 10, -31, -2, 4 in increasing order.\nAnswer: -55, -31, -2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, g: 8, w: 3}. What is prob of picking 3 w?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19841 + 19839. Which is the second biggest value? (a) 15 (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -12*q + 34. Let o be b(4). What is the second biggest value in o, -2, -16, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o + 0*o + 0*o)*(-3*o - 5*o + 2*o)*(32 - 108 - 75).\nAnswer: 6342*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28942543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1958, -1949, -1920, -1859, -1754, -1593, -1364, -1055?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 - 10*c**2\/7 + 8*c\/7.\nAnswer: 2*c*(c - 4)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(84) + sqrt(84)*3 + sqrt(84))*3)\/(-5*1*sqrt(343))*2.\nAnswer: -12*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - 116*w + 395. Calculate v(-61).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*q = -59030, 0 = 5*a - 2*q - 98158 - 181. What are the prime factors of a?\nAnswer: 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 29*h + 12 = -31*h, -2*i = -h + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 5, q: 3, v: 7, d: 1}. What is prob of picking 2 k?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -5) + (4 - (4 - 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69 and 24?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -309?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d = -2*j - 15*d + 10, 3*j + d - 16 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 25687232*b + 25687228.\nAnswer: 4*(b + 1)*(b + 6421807)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 6, 308\/9, -9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.73062mg in nanograms?\nAnswer: 45730620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b (base 13) to base 7.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*c + 169*c - 32 = 1398 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*w + 40*w + 36*w - 2920.\nAnswer: 51*w - 2920","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -o - 3*p, -5*o + 423 + 496 = p. What is the tens digit of o - (-2 - -2)\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 r, and 1 w when three letters picked without replacement from {j: 2, w: 1, p: 2, r: 1, v: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 74. Suppose 3*c = -2*u - 49, -4*c + u - i = 5*u. Is c\/(26\/(-1416)) + -1 + 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -6. Let l(r) = -r. Let i be l(g). Is 0 + (3 - -287 - i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1138*t - 647*t - 653*t + 162*t + 7*t**3 - 10*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -13\/246?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -531*r + 71*r + 112*r + (-5 + 4 + 0)*(4*r + 2*r - 5*r).\nAnswer: -349*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3\/5, -2\/15, -7, 1\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - 1. Let o = 6.8 + h. Let z = o - 4.8. Put 3, -5, z in decreasing order.\nAnswer: 3, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 - 48461315*x**3 + 156566571127725*x**2 - 168609202079026993625*x - 337219030424726188750.\nAnswer: 5*(x - 3230755)**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, -17, -38, -59, -80, -101?\n\"Answer: -21*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s + 5 = -4*i, 5*i = -2*s + 10. Suppose 2*g + g = i. Suppose g = 3*m - 4*c - 27, m - 2*c - 3*c - 20 = 0. Put m, 4, -5 in decreasing order.\nAnswer: m, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h + 802 + 602. Let w = -105 - h. Solve 15 = -5*b + 5*c, -6*c = -w*b - 2*c - 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 8:35 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 101038498793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b - r + 20 = 0, 3*r - 45 = -2*b. Is (0 + b\/(-2))*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 79*y - 37. Let p be i(39). Let m(a) = 3 + 0*a**p + a**2 + 149*a - 150*a - 3. Let g(q) = -4*q**2 + 4*q - 1. Determine g(h) + 3*m(h).\nAnswer: -h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 0*i - 18 = -5*s, -4*i = -4*s + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2383, 2382, 2381?\nAnswer: 2380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.0884 + -1.088394623. Round g to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12947*h + 12888*h + 0*h**2 - 25742*h - h**2 - h**2.\nAnswer: -2*h**2 + 93*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - d**2 - 2. Let r be o(2). Let i(b) = -2*b + 1 + 2*b**2 + 4815*b**3 - 2 - 2*b**r. Let t be i(-3). Round t to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 4. Which is the closest to 1? (a) n (b) -0.3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 5. Let y = -0.33 - -0.65. Let t = -1.32 + y. Which is the closest to t? (a) 1 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a minute in seconds?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 437043 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 209 = 5*z, 5*o - 2*z + z = 283. Suppose 23*y + 352 = 27*y. What is the smallest common multiple of y and o?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*g - 4*t - 14, -2*g - 2*t = 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 164373840838 and -348.\nAnswer: 164373840490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18107\/205848*(-18)\/(-114)\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -39 + 44 - 113.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 18 = f, -4*f - 45*v + 1301 - 1097 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x - 6. Suppose -5*k + 11 = 3*h + 37, -27 = 4*h - k. Let q = -10 - h. Let g(v) = -3*v + 2. Let w = -15 + 7. Calculate q*r(n) + w*g(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68094?\nAnswer: 2, 3, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -1055?\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4*j + 38 = -17, -33014*j + 33018*j - 61 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/5 - 7066*o\/5 - 49952.\nAnswer: 2*(o - 3568)*(o + 35)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 185076, 370154, 555232?\n\"Answer: 185078*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 171\/(-285)*(-5)\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -17*s - 64. Suppose 2*q - 4*h - 3 = -11, -4*q - 16 = h. Let v be a(q). Solve 0 = -v*y + 5*m - 5, 3*y - 3*m + 1 = -2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 27022 - 5677884.0191.\nAnswer: -5650862.0191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2. Suppose 2*r = 5*r. Let m(w) = 2*w + r*w - w. Give m(i(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.006 - 37.006. Let c = i + 37.084. What is c rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + f - 3, j + 1 = -2*f + 7. Suppose j = -25*w + 6188 - 113. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1498*i + 18404 - 115797 = 186*i + 128263 for i.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15, 1\/3, 5, -0.1, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**4\/3 + s**3\/6 - 6*s. What is the second derivative of l(k) wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-10)*136\/12. Suppose -5*j - 4*q = -6, -5*j + 0*q + 9 = q. Solve -10 = -i + 3*i - j*z, 5*z - k = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245, -25, 573, 1735, 3647?\nAnswer: 6495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -111547.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3888) + sqrt(3888) + (sqrt(3888) - sqrt(3888)*1 - sqrt(3888)))*-4)\/(-1*(sqrt(36) + sqrt(108)\/sqrt(3))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 106909.3 to the nearest 100.\nAnswer: 106900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/(-11)*(-5 + 2 - -2). Solve 0 = -l - l - q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*l**3 - 4 - 6 + 36*l**3 to the form g*l**3 + n*l + x + p*l**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24674\/584 + 5 + -47 + 365\/(-4).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 = -29. Let z be (23 + p)\/(2\/(-4) + -1). Let s(k) = -2 + k**z + k**2 + 1 + 0*k - 3*k. What is s(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85042185 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*q**2 + 2)*((4 + 2 - 4)*(2*q - 14 + 14) + q - 4*q + q)*(-7 - 58 - 59).\nAnswer: 744*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -161.9125486 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 6*p**3 - 14320*p**2 + 640762*p + 1573152 = 0.\nAnswer: -7\/3, 48, 2341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 10:11 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117400860 by 540.\nAnswer: 217409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*l + 60*l - 32*l - 3*l + 4.\nAnswer: -l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/12 + -19\/12. Suppose 17 + 51 = 2*v. Put l, v, 3\/7 in descending order.\nAnswer: v, 3\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*y + 13419 - 14063. Let f(n) be the first derivative of 45*n + 3\/4*n**4 + 0*n**3 + 0*n**2 + y. Differentiate f(x) wrt x.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1877*i**3*m*y**3 + 1836*i**3*m*y**2 - i**2*m + 95*m*y**3 + 6929*m*y wrt i.\nAnswer: -11262*m*y**3 + 11016*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 973229 - 206324025\/212. Let q = -15\/53 - c. Which is greater: -4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 3*g - 6*g**2)*(-3 - g**2 + 3) - 1164*g**4 - 937*g**4 - 26*g**4.\nAnswer: -2121*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.5 + 28. Let d = 47.29 + 0.71. Let j = d + -47. Which is the closest to j? (a) k (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 s, and 2 l when four letters picked without replacement from {i: 2, g: 1, s: 1, l: 1, y: 2, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 1476 (c) 4\/5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6.397 (b) -0.07 (c) 0.4 (d) -5 (e) -4 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.228 and -15?\nAnswer: -3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5\/3 + 208*r**4 - 3316*r**3 - 24304*r**2\/3 + 11210*r = 0.\nAnswer: -3, 0, 1, 19, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1466, -455, 1934, 6391, 13606, 24269, 39070, 58699?\n\"Answer: 115*u**3 - u**2 + 209*u - 1789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*i + 107. Suppose 12*j = 16*j - i. What is the remainder when 28 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 6425.266?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, s: 5, f: 10, z: 2}. What is prob of picking 3 s?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -131 (b) 3\/5 (c) 0.1 (d) -1\/5 (e) -4 (f) -98\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 524 + 734 + 0*s**2.\nAnswer: 3*s**2 + 1258","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 73, 95, 127?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -153606 - -153611.29959. Let u = j + -5.3. Round u to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25385, 50561, 75737, 100913, 126089, 151265?\nAnswer: 176441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**3 - 6*s**2 - 4*s + 2. Let y be c(-1). Suppose -4*i + 5*m + 200 = 0, y*m + 210 = 5*i - 35. What is the remainder when i is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - -0.05. Let v = x + -0.14. Sort -5\/3, v, 4\/3 in descending order.\nAnswer: 4\/3, v, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - ((sqrt(65) - -3*sqrt(65)*3) + sqrt(65)) - sqrt(65)) + (sqrt(65) - -3*(sqrt(65)*3 + sqrt(65))))\/(2*sqrt(405) - 6*sqrt(720)).\nAnswer: -sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 8, 0 = 3*v + c - 2*c + 92. Let m be 96\/(-45) - 4\/v. Is m bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 271674 and 9738898?\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 400.6818ml in litres?\nAnswer: 0.4006818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-16) + (-12)\/(-16))*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 6*q + 2*q + 7 = 0, 5*x - 25 = 5*q. Suppose x*z + 0*z - 9 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -410*k**2 - 1169*k - 9. Let h(y) = -409*y**2 - 1168*y - 6. Let a(f) = 3*h(f) - 2*m(f). What is the second derivative of a(u) wrt u?\nAnswer: -814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 709464 divided by -4.\nAnswer: -177366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(275) + sqrt(15))\/sqrt(5) + (sqrt(189) - 1*sqrt(189))\/sqrt(7) + 4.\nAnswer: 6*sqrt(3)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k + 8. Let l be f(0). Suppose 65 + 31 = 5*s + v, 0 = 4*s + 5*v - 60. Solve l = 7*y - s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 744\/7 or -42.37?\nAnswer: 744\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -a - 4*r, -5*a + 4*r - 25 = r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/30*6\/(-2)*-1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Let y(k) = -k**2 - 3*k. Let f be y(-2). Suppose -3*x + 13 = 5*r - 2*x, -4 = r - f*x. Solve -o*m = -4*m + r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 278*f**2*z**4 - 10*f**2 - 9*f*z**2 - 2*f*z + 12*z**4 + 4 wrt z?\nAnswer: 6672*f**2*z + 288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6170 = 165*k - 2210 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 331*h**4 + 511332*h**2 - 1309995903 wrt h?\nAnswer: 1324*h**3 + 1022664*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2*p = -2*v + 1, -3*p + v - 5 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 42975 divided by 3\nAnswer: 14325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 22*i - 168 = 0. Let b = i + -41. What is the tens digit of 1*56\/b - 27\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - 1a4?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004551 rounded to 6 dps?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hif when three letters picked without replacement from fjihifeh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3*o**2 - 75*d**3*o - 2*d*o - 432*o**2 wrt d.\nAnswer: -12*d*o**2 - 450*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -312, -467, -620, -771, -920?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -158204 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 - 0.1. Let p = 3.01 + o. Let y = 156.7 - 157. Sort y, p, -3.\nAnswer: -3, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*m + 4762 - 31046 = 2360 for m.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -754*l + 752*l = -16. Solve -4*m + 2*q = l, -4*m - 3 = 5*q + 33 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.04, 6, 1, 0.5, -3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/37 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3120378, -3120364, -3120350?\n\"Answer: 14*v - 3120392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7000160 divided by -1072.\nAnswer: -6530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Suppose -m - 3*m + 52 = a. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-4428)*177\/(-59)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/12 - 16\/12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 19*n**2 - n + 2. Let s be k(1). Let u = s + -19. Solve -u = -5*i - 2*z, 5*z - 8 = -i + 2*z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34372233 to the nearest integer?\nAnswer: 5863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(-6*w + 4*w - 3*w) + 11 + 10*w + 5*w - 7*w.\nAnswer: 3*w + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 - -18 - (-501 + 464)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-24)*(1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 6*g + 40. Let r(b) = -223 + 263 - 3*b - 2*b + b**3. Let o(y) = 5*r(y) - 4*x(y). Calculate o(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 10*w = 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*p - 114. Does 4 divide (-208)\/p + 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1247 + 1425. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvg when three letters picked without replacement from igggfwgvgi.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 6:48 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 47. Suppose -5*k + 3*r - 38 = 0, -4*k + d = 2*r + 78. What is the remainder when 21 is divided by (-4)\/k - 84\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 100 (b) -4\/21 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -280.06885 + 279.43. What is i rounded to two decimal places?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(304) - (sqrt(304) + -3)*3) + (-5 + sqrt(304) + sqrt(304)*-4)*-3 + -2)**2.\nAnswer: 1456*sqrt(19) + 15572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l + 31. Let r be y(7). Which is bigger: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (150 - 99 - 111)*(p - 6*p - 2*p - 1).\nAnswer: 420*p + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -4*l + 22, -47*v = 5*l - 51*v - 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -555.552471 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 43*y + 98, s + 1944*y + 1 = 1940*y - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/71?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5586 and 14934?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/11, -1, 112 in ascending order.\nAnswer: -3, -1, -1\/11, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (156 + -159)\/((-51)\/1). Sort -3\/4, k, -2\/3, 0.1.\nAnswer: -3\/4, -2\/3, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b5f - -755b?\nAnswer: 69fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 673*u - 8160*u - 2322 + 2322 to n*u + v and give n.\nAnswer: -7487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -43. Let b = p - 17.99999941. Round b to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (17 - 2) + 0\/(-2). Let n = 17 - u. Solve 0*f = -f + n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - -2)*408\/14. Suppose i - 52 = 4*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 3*p + 21. Let n be l(0). Suppose -3*o - n = -3*y, -3*o - 23 = -0*o - 2*y. Let j = 24 + o. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cspxpc. Give prob of sequence psxp.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 7*b + (-1 + 1 + 2)*(124*b + 44*b + 5*b).\nAnswer: 353*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.046 - 0.054. Let n = z - -26. Let o = -3.0999932 - n. Round o to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 235.4121 and -129272768.\nAnswer: -129272532.5879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2925 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 342.24 * 6\nAnswer: 2053.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**30)**(-14\/5))**(-3\/16) assuming p is positive.\nAnswer: p**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21 times -3316752\nAnswer: -69651792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(20)\/sqrt(5)) - sqrt(156)\/(sqrt(12) + (2*sqrt(12) - sqrt(12))).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2200 = -2*j + 22*j. Suppose 3*b = -213 - 129. Let r = b + j. Sort 2, -6, r, 1 in ascending order.\nAnswer: -6, r, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9579, -9500, -9363, -9162, -8891, -8544, -8115?\n\"Answer: t**3 + 23*t**2 + 3*t - 9606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2450 and 17150.\nAnswer: 17150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/5 + 1749678*v**2\/5 - 6998748*v\/5 + 1399752.\nAnswer: 3*(v - 2)**2*(v + 583230)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -913 + 102853870056.\nAnswer: 102853869143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**6\/120 - o**5\/10 + o**4\/4 + o**3\/2 - 2*o**2. Is l(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by -1663.\nAnswer: -44\/1663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + 1.6. Let p = 10 + -9. What is the third biggest value in p, 1\/3, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1301 divide 467722510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75, -109, -151, -201, -259, -325?\n\"Answer: -4*d**2 - 22*d - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(180))\/sqrt(9))\/(1*sqrt(10)*5) + ((sqrt(288) + 0)**2 + 2 - (4 + sqrt(288)*1)) + 5.\nAnswer: -58*sqrt(2)\/5 + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2700*d + 1001 - 993 - 2719*d + 8*d**2)*(-1 - 1 + 3) in the form z*d**2 + p + b*d and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 16994938 = 55*r - 56*r, 3*r + 1888342 = y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.018 in -1\/4, 4, 5, -13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**6\/280 - h**5\/140 + h**4\/56 + h**3\/14 - 11*h**2 + 14. Let o(r) be the second derivative of t(r). Factor o(m).\nAnswer: -3*(m - 1)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -10. Let y(q) = -3*q + 2. Let u be y(-6). Let i = 32 - u. Solve -j - 4*l - i = 0, -4*l + 10 = -a*j + 22 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((220\/160)\/(4\/16))\/(15\/6)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 16130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0.5. Let z = 1.5 - q. Let t be (2 - -2)*(-3)\/(-18). What is the nearest to t in -0.3, 4\/3, z?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 59345*c - 31808908. Calculate p(536).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -734 or 1?\nAnswer: -734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27 and -5110544?\nAnswer: -137984688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 823 divide 6337923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*c + 37 + 19, 0 = -w - 3*c + 66. Suppose -36 = -3*r + w. Suppose -r = 12*z - 14*z. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 greater than or equal to -6639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((10\/100)\/(3\/45)). Suppose -2*b = 2*b. Let f be 1\/(b - (-2)\/4). Which is greater: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 747*l**2 + 2*l - 693*l**2 + 1362*l**2 + 4.\nAnswer: 1416*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 207 = 2*u - 3*u, 5*u = -3*w - 1035. Let f = u - -485. List the prime factors of f.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from {c: 2, u: 6, s: 5}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 = -5. Let o(d) = -d**2 - 5*d + 2. Let u be o(-5). Suppose -12*f - 36 = -0*f. Sort -1, p, u, f in decreasing order.\nAnswer: p, u, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**6*x)\/x**(9\/13))\/((x*x*x**(-22)\/x*x*x)\/x*x**(2\/45)) assuming x is positive.\nAnswer: x**(8929\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 l when three letters picked without replacement from {s: 3, l: 5, g: 8}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 6964 and 17902 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -4 + -3 + 3 + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2 (c) -2\/15 (d) 4\/15 (e) 8\/55\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5362 + 9563. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89276 (base 10) to base 8\nAnswer: -256274","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -131\/2 - -64. Let m(b) = -b**2 + 46*b + 148. Let y be m(49). What is the closest to -2 in y, -0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 + -98. Let i = -3 - -5. Find the third derivative of h**5 + l*h**i + 3*h**5 - 6*h**2 + 0*h**5 wrt h.\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1016 + 8030. Is 51 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/5 and -133\/552.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 1) + -1 + (-23 - -22).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + 75?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**4 + x**3 - x**2. Let g(m) = -376*m**4 - 4*m**3 + 6*m**2 + 268. Let d(f) = g(f) + 4*l(f). What is the third derivative of d(n) wrt n?\nAnswer: -8928*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/15)\/(104\/312).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3792000 rounded to the nearest one hundred thousand?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1010 and 98172?\nAnswer: 490860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/9 + 61876*d**2\/9 = 0.\nAnswer: -30938, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - 6*j**3 + 8*j**3)*(-93*j - 3 - 31*j + 19*j).\nAnswer: -420*j**4 - 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 11*s**2 + 4*s - 11. Let u(k) = -10*k**2 - 4*k + 11. Let t(b) = -7*u(b) - 6*z(b). What are the prime factors of t(-6)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Differentiate k + j**3 - 3 - 1 - 1 with respect to j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-40)*-3)\/(18\/4)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = 6*z - 58 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + (sqrt(5324) - sqrt(5324)*1)\/(sqrt(768)\/sqrt(12) - sqrt(4)) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.29 - 2.91. Let s = i - 0.8. What is the closest to 2 in s, -0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-3))\/(1 - -1). Suppose -9 = -v - t. Calculate the lowest common multiple of 16 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 13 + -4)*(-2)\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express x + x**3 - x**4 + 113 - 5*x**3 - 108 as k*x + j*x**4 + f + w*x**2 + z*x**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/7 - 175810*u\/7 - 6683668\/7 = 0. Calculate u.\nAnswer: -38, 87943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*s - 22*s + 20*s**2)*(77*s + 564*s + 310*s)*(4 - 6 + 3) in the form k + o*s**2 + t*s**3 + b*s and give t.\nAnswer: 19020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p**2. Let r(m) = 18*m. Calculate d(r(h)).\nAnswer: -2592*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -135*t - 387. Let b be i(-3). What is the greatest common divisor of b and 4338?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(132))\/(sqrt(12) - (sqrt(1452) + (sqrt(1452) - -2*sqrt(1452)))).\nAnswer: -12*sqrt(11)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.34 - 4.66. Which is the third biggest value? (a) -0.4 (b) 0.5 (c) x (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2543 is divided by 369?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**2 + 3*q**2 + 3*q**2 - 2. Let l be (-216)\/96*(-8)\/3. What is the hundreds digit of j(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 5*s + 5. What is the remainder when f(-8) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 0*k - 4\/3*k**5 + 4\/3*k**3 + 0 - 2\/3*k**2 + 2\/3*k**4 = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 137145238?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 35. What is the highest common factor of 4 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**5 + 138*w**4 + 3920*w**3 - 41368*w**2 - 830016*w + 867328 = 0.\nAnswer: -22, -14, 1, 16, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -265? (a) 3 (b) 3\/4 (c) -5 (d) 0.7 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 6, -4, -1\/10, 3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {x: 10, w: 1, g: 4, o: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/63 and 115\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 + 2*o + 3 - 5.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2401) + -2*sqrt(2401) + sqrt(2401) + sqrt(490)\/sqrt(40))\/(2*sqrt(63)*-2).\nAnswer: -sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p + 4. Let i = -1 - -5. Let d(h) = -h - 3. Let t(c) = i*d(c) + 3*o(c). Let v(w) = 2*w. What is t(v(l))?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 36 - 20 = 0. Let o be ((-25)\/(-70)*-12)\/(2\/f). Suppose r + o = 9*r. Solve -4*k + y + 4*y = r, -k = -5*y + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 442 - 5?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396 and 21186?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578 a factor of 54153186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1235, 4857, 10899, 19373, 30291?\nAnswer: 43665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 3*z + 393. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -834, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 10:11 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 868036*j*s**4 + 4*j*s**3 + 5224047*j wrt s.\nAnswer: 3472144*j*s**3 + 12*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*3\/(-108)*-3*(-726)\/(-726).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 1 + 17. What is the greatest common factor of s and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 4663112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38327775 divided by 51.\nAnswer: 751525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.241, -5.644, -6\/7, -5, 0.5.\nAnswer: -5.644, -5, -6\/7, 0.241, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38900 or -38744?\nAnswer: -38900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*a + 20 = 0. Suppose 6*b = b + a. Solve 10 = f + 4*g - 0*g, -2*g = -3*f + b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -304*k**2 - 141*k + 214878.\nAnswer: -608*k - 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3275626 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 22 = k, -2 = -3*u - 4*k + 5. What is the third derivative of u*m**5 + 3*m**2 + 0*m**5 + 8*m**6 - 5*m**5 wrt m?\nAnswer: 960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709392391?\nAnswer: 239, 2968169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*(u\/u**(-2\/13))\/u)\/u*u))\/u*u**30 assuming u is positive.\nAnswer: u**(375\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 196 + -195. Is y\/(2 + 24469*2\/(-24470)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11121 and 1408649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -257*f + 261*f + 3*c, 5*f - 8*c = -81 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddlmlld. What is prob of sequence mdl?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 458119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 17 - 5 + 19*r)*(-1 + 0 - 1 + (2 - 2 - 2)*(-3 + 6 - 2))*(3*r + 3 - 3).\nAnswer: -228*r**2 - 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4442, -8867, -13298, -17735, -22178, -26627, -31082?\nAnswer: -35543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 5:55 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8695*s**2 + 8695*s**2 - 6*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/210*(-9)\/(9\/(-35))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7288.862 + 7295. Round u to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 0 + 1\/66*r**4 + 15*r + 5\/33*r**3 + 6\/11*r**2. Find y such that q(y) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 13*t + 4473. Let q(x) = -4*x - 1493. Give -2*b(r) - 7*q(r).\nAnswer: 2*r + 1505","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21, -124, -361, -786, -1453?\n\"Answer: -9*x**3 - 13*x**2 - x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*q - q + 40*q - 5*q + 5*q - 5*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(3*(-3)\/(-135)). Let b be 3 - 156*2\/f. Let z = -38\/105 + b. Put 5, z, 0.5 in ascending order.\nAnswer: z, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001101101000010011 - 100?\nAnswer: -10001101101000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-6)*5216\/389896.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -23.975. Let h = -1.265 + n. Let v = h - -0.14. What is v rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w**2 - w - 1. Let q be n(-1). Let s be 16\/18 - 6\/q. Let u be (4\/6)\/(16\/30). Which is the second smallest value? (a) s (b) u (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = 2*x. Let c = 18 + -12. Calculate the lowest common multiple of x and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8665335 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**9\/30240 - k**8\/13440 - k**7\/5040 + k**6\/1440 - k**4\/4 + 2*k. Let o(u) be the third derivative of l(u). Factor o(w).\nAnswer: w*(w - 1)**2*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 12*n**2 - 2*n - 9. Suppose 0 = -4*c - 3*g + 41, -8 = -4*g + 4. Let r be z(c). Is r + 4*(3 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 38505.\nAnswer: 1078140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.465 + 6.464994407. Round o to 7 decimal places.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.87 - -18.87. What is the fourth biggest value in 2, -5\/6, 1, l?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1628058 divided by -6.\nAnswer: -271343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 66310 divided by 20\nAnswer: 6631\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e5 - 51e9?\nAnswer: -5104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from immwnna. Give prob of sequence mw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.097014 to three dps.\nAnswer: 0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 30*b**2 + 94*b + 73. Calculate h(26).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 15\/4 of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7706 + 2389. Suppose 0 = -2*g + i - 1121. Suppose -3*p + g = 728. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 112*c + 22. Determine n(-112).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 4:25 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 306.02 + -310.02. Which is the third smallest value? (a) 2\/247 (b) t (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 10:20 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 320*i**3 - 32*i - 32. Let b(n) = -34*n**3 - 5*n**2 - 7*n + 8. Let k(v) = v**3 + v**2 + 2*v - 1. Let o(a) = -b(a) - 5*k(a). What is 32*o(h) - 3*x(h)?\nAnswer: -32*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10 - (-8)\/5. Let f(l) = l**3 - 2*l**2 - 2*l + 3. Let j be f(3). Calculate the greatest common factor of u and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-2 + (sqrt(175) - (-1 + sqrt(175))) + sqrt(175)) + sqrt(175) + (0 + sqrt(175))*-4 + 5*-1*sqrt(175))*1)**2 + 5.\nAnswer: -200*sqrt(7) + 17509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20.631 * -358\nAnswer: 7385.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 12:09 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.3, -1, -0.5, -20, -2 in ascending order.\nAnswer: -20, -2, -1, -0.5, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6755000 rounded to the nearest 100000?\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4*o - 84, 0 = 3*f - 0*f - 3*o - 45. Solve -5*v + f = -4*n, -n - 5*v = -10 + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.09, -0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 7*v**2 + 3*v + 60. Let f be u(-6). Let n(r) = 0 + 0 - 1. Let w(p) = -p + 9. Let x(i) = -6*n(i) - w(i). What is x(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + 1*sqrt(28))*-4 + (1*sqrt(21))\/sqrt(3)*-5)*6.\nAnswer: -126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x = 78*x - 169*x + 2517768. Does 51 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = f, 3*o - 3*f = -0*o + 27. Let b(l) = -5*l + 3*l**2 + 1 + 0 - 3. Let v be b(-3). What is the highest common divisor of v and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 11) to base 4.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1975 is divided by 973.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5.229995 milliseconds?\nAnswer: 5229995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3633 and 7521867.\nAnswer: 52653069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 8*o - 2. Let i be p(-4). Let k be (3\/(-9))\/(i\/18). Suppose 366 - 71 = 5*j - a, 0 = k*j - 2*a - 170. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.12 less than 1?\nAnswer: 8.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 693.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2358 - -248.\nAnswer: 247.7642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 7:03 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 806919.6cm to millimeters.\nAnswer: 8069196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*r - 75*r - 143*r - 162*r.\nAnswer: -509*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2\/11)*i*i))\/i**3*(((i*i\/(i\/(i**(1\/3)\/i)*i))\/i)\/i*i)**11)\/(i**(4\/11)\/i**(1\/6))**44 assuming i is positive.\nAnswer: i**(-339\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 53253?\nAnswer: -5324c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 11:00 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 = -0. Let l = 4 - q. Solve -v - l = 3, -3*o + 2*v + 16 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1787\/88 (b) -498 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117462477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v - 33 - 38 - 36 + 107.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3534*h - 11. Is p(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 6:08 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14046387 and -26?\nAnswer: 14046413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 39. Let v be k(0). Let u = v + -57. List the prime factors of 267\/u*-3*2.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 642976 divided by 2272.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**5 - 3*i**5 + 27*i**5 + 25*i**5 - 12*i**5 + 12*i**5 + (i**3 + 0*i**2 + 0*i**2)*(-4*i**2 - 2*i**2 + 4*i**2) + i - i + i**5 + 2*i**5 + 2*i**5 - 2*i**5.\nAnswer: 55*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 248 and 0.08.\nAnswer: 19.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 12*b**2 + 1419*b + 17064. Give y(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 31.1142 (b) 0.046 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 235672467 a multiple of 1684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39326, 165240, 375096, 668894?\n\"Answer: 41971*j**2 + j - 2646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - o**2 + 327*o - 3 + 2 - o**4 - 339*o - 2 as v*o**3 + d + x*o + b*o**2 + p*o**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52, -66, -88, -118?\n\"Answer: -4*z**2 - 2*z - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25344536 (base 7) to base 8\nAnswer: -10606250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2.9. Let w = m - -0.1. Suppose -2*t - 6 = -4*q, 3*q - 2 = 5*t - 1. Sort 0.4, w, t.\nAnswer: w, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from {x: 10, v: 1, s: 5, a: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16243 + 16242.999992951. What is k rounded to seven dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2103 - 1568. Which is bigger: d or 537?\nAnswer: 537","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, s: 5}. What is prob of picking 2 s?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -216, 17, 5, -3, -1 in decreasing order.\nAnswer: 17, 5, 4, -1, -2, -3, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -113\nAnswer: 56.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -36b (base 16) to base 7\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3502203 is divided by 500313?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -121345, -119362, -117379, -115396, -113413, -111430?\n\"Answer: 1983*s - 123328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792.7708 centuries to millennia.\nAnswer: 79.27708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 2*f + 4. Calculate z(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7006 - -7002. Let r(l) = -35*l. Let f(d) be the first derivative of -6*d**2 + 3. Let t(j) = -4*j. Let q(h) = 3*f(h) - 8*t(h). Give m*r(u) + 36*q(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*o*q**3 - 3*o*q - 354117*o + 45132911*q**3 with respect to o.\nAnswer: -5*q**3 - 3*q - 354117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 + 6*u**4 - 4*u**4 + (-2 - 7*u - 8*u**2 + 10*u**2 - 4*u**2)*(-2 - u**2 + 2).\nAnswer: 5*u**4 + 7*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*q + 21 = 0, 2*v + 2*q - 20 = -2*q. Suppose 5*z - 13 = v. Solve 0 = -p - 0*p + z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 506 (b) 0.2 (c) 5\/1687\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 350003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 15*t**2 + 10. Let m be o(-15). Suppose -2*y - 2 = -m. Solve -10 = -y*c + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5734 and 1269?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1982927 is divided by 141627?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(160)\/sqrt(2) + 5.\nAnswer: 5 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 6*y**2 + 5*y - 4. Calculate h(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/(15\/20). Suppose 6 = -m*d + 68. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291714.\nAnswer: 2, 3, 48619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 5, -12369 in descending order.\nAnswer: 5, 2, 1, -12369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/15805936 and -25\/8890839.\nAnswer: 142253424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7 + 0*t**3 + t**3 + t**2 - 7. Let n(c) = 3*c**3 + c**2 - 3. Let f(v) = -3*v**3 - v**2 + 2. Let m(o) = 4*f(o) + 3*n(o). Give m(b) + q(b).\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 71 - 71 - 70*q**4 + 7*q**4 - 7*q**4 - 2*q**4 - 2 + 2 - q**4 + (q - q - 2*q**3)*(q + 2*q - 2*q) + 0 + q**4 + 0 + (-q**4 + 0*q**4 + 2*q**4)*(-1 + 1 - 2).\nAnswer: -76*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-5\/2)\/j))*j*(j\/(j\/j**(-1\/7)))\/j*j*j)\/((j*j\/j**(6\/7))\/(j*j**(-23)*j)) assuming j is positive.\nAnswer: j**(-333\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/9 - (-8)\/(-36). Let q be 1 - (0 + u) - 3. Is -3*-1*(-37)\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4003*x**2 - 8174*x**2 + 9*x**3 + 4171*x**2.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -183, -39, 3, -8 in decreasing order.\nAnswer: 3, -3, -8, -39, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 61 + 81 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6 = -12. Let w(i) = 2*i**2 + 2*i + 4. Determine w(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 159.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -64*n. Calculate m(1).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 13. Let x(r) = -2*r - 2. Let o be x(q). Let w be (-1 - 6\/(-3))*o. Solve w*l = l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 11*h**2 + 4. Let d be q(-4). Calculate the highest common divisor of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*o**2\/9 + 9062*o\/9 + 720.\nAnswer: -2*(o - 648)*(7*o + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 158 - 155.21. Let v = -2.8 + u. What is the third smallest value in v, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**2 + 163*z - 1020. Calculate the remainder when 640 is divided by i(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17415*z**3 - 2*z**2 + 2*z**2 - 17386*z**3.\nAnswer: 29*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -379, -250, -35, 266?\n\"Answer: 43*n**2 - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1948.2122 and 8056.4.\nAnswer: 6108.1878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 48 = -3*d + 2*w + 8, 0 = 4*d + 8*w + 52 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - 1. Let v(q) = -94*q**2 - 2*q - 2. Determine -v(n) + 2*x(n).\nAnswer: 90*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (19\/2888)\/((-18)\/48). Suppose -5*g + 8*g = 0. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -217630*k**3 - 455769 wrt k.\nAnswer: -652890*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 28*u**2 + 54*u - 58. What is the hundreds digit of y(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 767, 2, 2\/13, 1.\nAnswer: 2\/13, 1, 2, 767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 11:02 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 368*v - 12. Let d(k) = -318689*k + 10388. What is 6*d(q) + 5194*p(q)?\nAnswer: -742*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -3600402?\nAnswer: -3600402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -84316\/299 - -282. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 4*b = -6*k + 16, -2 = 6*b - 2*k - 4 - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13\/81 + -2777\/648. Let j = 5523\/2860 - -17\/143. Find the common denominator of j and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -2\/3, -5, 1\/7, -223\/93, 2\/5?\nAnswer: -223\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 638\/3509*(-1 + 0). Let w = -31.35 + 32. Sort c, w, 5.\nAnswer: c, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b = -759 - 96. What is the highest common factor of 551 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, s: 1, d: 9}. What is prob of picking 1 e and 1 s?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 471 divide 207850597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-29)\/2 + (-1)\/2. Let i be ((-12)\/10)\/(3\/y). Suppose 3*h - 28 = -l, 3*h + i*l - 44 = l. Solve 0 = -4*g + 4 + h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423128341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13784 - 1?\nAnswer: 13783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*((sqrt(364) - (sqrt(364)*-2 - sqrt(364)))\/sqrt(7) + sqrt(52)) + (3*(-5*sqrt(156)\/sqrt(3) + sqrt(52)))**2.\nAnswer: 10*sqrt(13) + 7491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/665)\/((-2)\/21*-3)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47750628 divided by -1.\nAnswer: -47750628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 18 + 2. Suppose -u = 1, -6*w + w + 36 = 4*u. Let p(c) = c**2 - 5*c - 22. Let z be p(w). What is the third biggest value in z, j, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -296 + 687. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkgkkkjkzkkffkjz. What is prob of picking 1 f and 1 g?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3858?\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 - w**5 + w**4 + (4*w**5 - 2*w**5 - 4*w**5)*(2 - 3 + 0) + 0*w**2 + 0*w**2 + 2*w**5 + 5*w**5 + w**5 - 4*w**5 - 51*w**5 + 23*w**5 - 80*w**5.\nAnswer: -103*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1818 bigger than -1947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + y - 0*y, n - 1999*y = -1997*y + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**4\/2 - 2080*i**3 - 556955*i**2\/2 + 849955*i - 569400 = 0.\nAnswer: -120, 1, 2, 949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4179991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 1. Let h(z) = 7*z + 41. Let b be h(-5). Let g(r) = 3 + 4*r**2 - 2*r**2 - 6*r**2 + b*r - 9*r. Determine g(n) + 3*v(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -m - m. Let t(v) = 4*v - v**2 - v - m*v. Give t(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1620)\/(-115) - (-32)\/(-368). Solve -3*j = -5 + r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5172386 and 45594?\nAnswer: 5066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*-6.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1154*w - s = -1159*w + 57, -w - 2*s + 7 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 + 3)*(-10*m - 2*m + 0*m).\nAnswer: -120*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -215 - -214.638. Let p = s + 0.062. Which is the fourth biggest value? (a) p (b) 1 (c) -5 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 169*o**2 - 1386*o - 259. Give s(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.5 + -20. Which is the third biggest value? (a) 11\/2 (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107430 to the power of 1\/2, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*z - 11 + 3 = 0, y - 5*z = 17. Is (4*y\/10)\/((-62)\/(-15035)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 52 = v. What is the highest common divisor of 30 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001488993652 to six decimal places.\nAnswer: 0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3701*f - 10381*f - 9 + 8.\nAnswer: -6680*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56935245 is divided by 652?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*r - 44, -3*k + 32 = -2*r - k. What are the prime factors of (207\/r)\/(-1 - 17\/(-20))?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 < -4717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 116927419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3604994378 rounded to the nearest 1000000?\nAnswer: 3605000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 2, 20 = -171*j + 168*j - 2*x for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2927.2139 to the nearest integer.\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6612 + -1?\nAnswer: -6613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1 and -6300.009.\nAnswer: -6298.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*p**2*r**3 + b**2*p*r**3 + 6*b**2*p*r - 2*b*p**2*r**3 + b*p*r**3 - 2*b*r**3 + 46*p**2 wrt p.\nAnswer: 2*b**2*r**3 - 4*b*r**3 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**5*t*t**6*(t*t**(2\/7)*t*t)**(-33))**(-20) assuming t is positive.\nAnswer: t**(13360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48518586019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11324*t - 411940 - 409831 = 435193 for t.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -24*k**2 - 164*k + 324. Give z(2).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68 or -682?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 5*o - 10. Let s be t(7). Let d = s + 27. What is the first derivative of -d - 9 - 4*j - j + 7 wrt j?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 divided by -31765?\nAnswer: -567\/31765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(44)\/(sqrt(4)*-3)) + 0)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 + -74. Suppose -5*w = -b - 24, -4*b + 1 + 3 = 0. What is the highest common factor of w and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - d - d)*((-3 + 4 + 0)*(-4 + 1 + 2) + 1 + 4 + 0) to the form m + g*d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 - 0) - (8 + -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5276 is divided by 527?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 81800 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1318 - 1323. Let k be 5\/(-25) + (-314)\/5. Let t = k + 379\/6. What is the third biggest value in t, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v - 22*v = 2*n + 9, 0 = -5*n - v - 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -15 - 3*c**3 - c**3 + 8*c**3 + 43*c + 10*c**3. Find the first derivative of k(z) wrt z.\nAnswer: 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 194*i = -3*s - 195*i - 8, -3*i + 16 = -11*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43403, -87029, -130655, -174281, -217907?\nAnswer: -261533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -2 - 6\/3. Suppose 4*r + 4*n + 72 = 0, -1424*r + 1423*r = -10*n - 103. Which is the closest to -1? (a) -5 (b) 1\/5 (c) r (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o**4\/13 + 29390*o**3\/13 + 1099342*o**2\/13 - 1317656*o\/13 + 188936\/13 = 0 for o.\nAnswer: -38, 1\/6, 1, 2486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7921 plus 88?\nAnswer: 8009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 540 and 780.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4\/7 + 2049*w**3\/7 + 31998*w**2 - 230148*w\/7 - 64584 = 0. Calculate w.\nAnswer: -546, -138, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 197 = 5*t - 3*n + 2*n, 261 = -715*t + 736*t + 5*n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111515138 a multiple of 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 3\/8, 701?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 5*b**2 - 14*b + 2. Determine d(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -689152, 37, -3, 5 in increasing order.\nAnswer: -689152, -3, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, -3428.1, 356, 3?\nAnswer: -3428.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 2355304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 6. Let v = -184 - -285. Let y = 20 - v. Let a be 18\/y - (-56)\/9. Give d(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 162, 152, 132, 96, 38?\n\"Answer: -j**3 + j**2 - 6*j + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5 + q**2 + 12*q + 15*q - 15*q. What is m(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 671504 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*x. Suppose x*j = 5*j - 125. Let v = j + -5. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*u - 23*u - 96*u - 61*u - 18*u - 56*u.\nAnswer: -230*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 - 26 + f + f)*((-2*f - 3*f + 3*f)*(0 + 1 + 1) + 56 + 137 - 1287447*f + 1287455*f) to the form o*f**2 + n + w*f and give w.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 2*i**2 + 10*i - 11. Let d be k(2). Let w(o) = -d + 24 + 0*o + 3*o - 6. What is w(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 16. Is (0 + 1574)*((-15)\/(-10) - k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 656709342?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-72) + 64\/126. Put 1\/4, 2, z in descending order.\nAnswer: 2, z, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-3)\/(-1) + 244\/80. Let k(c) be the second derivative of 1\/6*c**4 + 0 - c**2 - g*c**5 + 1\/6*c**3 - c. Calculate k(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**6\/80 - 3*f**5\/160 - f**4\/16 - f - 3. Let m(z) = 0. Calculate z.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 2*r**2 - 7*r**2 + 3*r**2 - 2*r - 8. Let n be x(-6). Suppose n*v - 10 = 26. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6098 + -6098.12784. What is b rounded to three decimal places?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378394.7l in millilitres?\nAnswer: 378394700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000423 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 7. Calculate the remainder when 158 is divided by q(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 509839904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d1 - -8?\nAnswer: 1d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -56246 + 173?\nAnswer: -56063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*s + 18 = 0, 3*z = -2*s + 6604 - 6628 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2434803 and 426?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6196100 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-8))\/(1*4\/(-16)) + 245. What is the highest common divisor of l and 420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20826 divided by -3?\nAnswer: 6942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 11:59 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11298, 22596, 33894, 45192?\n\"Answer: 11298*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4608) + sqrt(4608) + -3 + sqrt(6)\/(sqrt(27)*-4 - sqrt(3)) + 3)**2 + -1.\nAnswer: 3109849\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11229 at most -11219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -12. Suppose -4*s = 4*y - f*y + 22, 4*s = -y + 14. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z - 3*z - 8*z + z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.2 and 211874.3.\nAnswer: -1949243.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 8) in base 9?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -61139 to the nearest one hundred.\nAnswer: -61100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x = 5*s - 65, -3*x - 52 = -4*s. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7243 (base 10) to base 5\nAnswer: 212433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-304)\/(-38) - (1 + 11))\/(-1). Let i(n) be the third derivative of 0*n - n**3 + 0 + 1\/30*n**5 + 2*n**2 + 1\/3*n**o. Determine i(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12298 + 33574. Let z = 12206 - d. What is z rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3799, 1, 2, -5, -132 in descending order.\nAnswer: 2, 1, -5, -132, -3799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/2648424 and -73\/6.\nAnswer: 2648424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*q**2 + 5*q**4 - 64 + 2*q**4 - 22*q**4 + 9*q**4 wrt q?\nAnswer: -24*q**3 - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 24*a**2 - 2*a - 40. Calculate the lowest common multiple of s(-24) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - m = 11, 2*l = -5*m - 8 + 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4654.0298 and -0.4?\nAnswer: 1861.61192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2. Let i(h) = 316*h. Calculate m(i(n)).\nAnswer: -199712*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1116 and 551346?\nAnswer: 102550356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -266. Let d be 5\/((-50)\/(-170)) + 22. Calculate the highest common divisor of d and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17020000 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 3*s + 2. Let t be z(2). What is the second derivative of -b**t - 4*b**4 + 7*b + 7*b**4 wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144542?\nAnswer: 2, 72271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/30 and (-596*3\/(-288))\/((-1)\/(-4)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 26*k**2. Calculate the remainder when g(-1) is divided by 14*4\/(-16)*-4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405409044?\nAnswer: 2, 3, 33784087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*i - 49 - 19 = 5*b, 11*i - 5*b - 17 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1940650 (base 11) to base 2\nAnswer: -1100100000110111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015213663 a multiple of 2112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -7147 = -7098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 369593433 and 31482?\nAnswer: 5247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515073*h**2 + 5 - 5 - 515069*h**2 - 27*h.\nAnswer: 4*h**2 - 27*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5963 is divided by 107?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + 0*u)*(-3578*u - 3118624 + 3118624).\nAnswer: -3578*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - -3. Suppose 10*t - f = -0*t. Solve -t*r = -4 - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792*v + 1616*v + 704 = 780*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1117*z + 100. Let g(p) = -1118*p - 120. Let k(w) = -5*g(w) - 6*o(w). Let h(l) = 2*l**2. What is h(k(x))?\nAnswer: 2473088*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 - 474 = -2*n + 5*a, 4*n - 3*a = 592. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 9*d**2 - 14*d + 2. Let i be a(-7). Let y be (-15)\/(-4) + (-1)\/(-4). Let k(x) = 2*x - 6. Let o be k(y). Is o > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 599461?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - 74. Suppose h - 382 = -3*y - o*h, y + 3*h = 129. What is the lowest common multiple of 28 and y?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.5 - -22. Let v = c - -10.5. Let d = 12.9 - v. Sort d, 1, 0.3 in decreasing order.\nAnswer: 1, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13d7 + -4?\nAnswer: -13db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. Suppose 18 = -g*z + 3. What is the units digit of (3\/z)\/((-1)\/15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 123, 124, 125?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, q: 2, n: 4}. What is prob of picking 1 n and 2 q?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z**(1\/6)\/z))\/(z**5\/z*z*z))\/((z\/(z*z*z**(-9\/4)*z*z))\/z**2) assuming z is positive.\nAnswer: z**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -2608764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 12*g**3 - 3*g**2 + 6*g + 11. Give k(-2).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 34476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -399, -613, -593, -345, 125?\n\"Answer: -n**3 + 123*n**2 - 576*n + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1 + 4*p - 1 + 1 + 4. Let z(a) = 8*a + 9. Suppose 0 = -8*n + 27 + 29. What is n*s(h) - 4*z(h)?\nAnswer: -4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1533 in 3, 1, 5, -70, -2?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -11\/6*x**4 + 0*x**2 + 15*x + 9\/10*x**5 + 0 + 0*x**3. What is the third derivative of o(p) wrt p?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 2 - 2)*(177*z + 3*z + 187*z) + 1 + 2*z**2 - z**2 + 0 as l + v*z + d*z**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10787980 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + 0.29. Suppose -2*n = 2*p + 2, -14 = -4*p + 2*n - 0*n. Suppose p = -0*j - j. Which is the biggest value? (a) z (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.17 times 4\nAnswer: 20.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 43 + 4)*(2*b - 3*b + 2*b).\nAnswer: 34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*x + 3*j + 43, 5*j = -2*x - 13. Let z be 1\/1*x + -3. Factor -2\/7*v**z + 2\/7*v**2 - 2\/7 + 2\/7*v.\nAnswer: -2*(v - 1)**2*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14508016174 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 30\/35*105*16\/480\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 4 - 1 + 554*m - 2 in the form l*m + z and give l.\nAnswer: 554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1697059542 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 15*k - 9. Let v be g(-15). What is v rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcc when three letters picked without replacement from hhhhhchchh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*m = 14, 3*n + 11 = -0*n - m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7.28 * 607\nAnswer: -4418.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -2\/11 (c) 0.042 (d) 0.2501 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 555\/74*2\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5878*b**3 + 5932*b**3 - 2 + 0.\nAnswer: 54*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 1. Let j(a) = -3*a + 2. Let h(u) = -5*j(u) + 6*m(u). Suppose -d - 2 = -8. What are the prime factors of h(d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99495633*t**4 - 574*t**2 - 773*t + 3.\nAnswer: 2387895192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 18*j**2 - 17*j + 24. Give d(-19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:48 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68995824 is divided by 909?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 211461 and 374.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12375 + 2?\nAnswer: 12377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495 + 1095*b**3 + 495.\nAnswer: 1095*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 3:00 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277, -334, -391, -448, -505, -562?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1552363 (base 7) to base 15\nAnswer: 43897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1022.58, -3\/4, -3, -2\/7 in increasing order.\nAnswer: -1022.58, -3, -3\/4, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.908 + -0.738. Which is bigger: 0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 27*w**4 + 651150*w**3 - 3473673*w**2 - 2532828*w - 434196 = 0.\nAnswer: -24122, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 152 - 102. Suppose -3*a = -2*k + k + s, 2*a - 182 = -5*k. Let n = k - 34. Solve n*i - 2*i = -6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, i: 2, c: 2}. What is prob of picking 1 i and 2 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*((-8)\/10 + 1). Let o = 1917 + -1917.2. Suppose -5*x + 4*j = -6 + 1, -3*x + 30 = 3*j. Sort x, v, o, 6 in ascending order.\nAnswer: o, v, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2529*r. Let o(w) = 13*w. Calculate y(o(i)).\nAnswer: -32877*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/3)\/(16\/120). What is the remainder when (12\/5)\/(2\/a) is divided by (-92)\/(-6) - (-2)\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4557 divided by -6?\nAnswer: -1519\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, u: 1, j: 1, y: 2, t: 2, d: 1}. What is prob of sequence jyt?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 9.5. Let x = f - 7.5. Let y = 7.9 + x. Which is the third biggest value? (a) -4 (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12073\/1086 - 9\/181. What is the common denominator of -67\/16 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 13*g - 26. Determine l(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 901 = 15569. Let w = 4420 + n. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 755\/9 - 84. Let o = -102.5 - -103. Which is the nearest to m? (a) 2\/19 (b) -0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -d0?\nAnswer: d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 8. Suppose -7 = 4*j + 5, f - y = -3*j. Suppose -f = -6*q + 28. What is the least common multiple of q and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1555\/3*135\/195. Let t = 359 - g. Sort 4\/11, -2, t in decreasing order.\nAnswer: 4\/11, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9+-9758\nAnswer: -9759.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, f: 5, g: 4}. Give prob of picking 2 f.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - i + 3. Let n be d(-1). Suppose 350 = 5*u + 5*f, 3*u - 177 = n*f + 73. What is the remainder when u is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -415 + 253. Let o = 175 + n. Calculate the remainder when 231 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*o = 55*o - 12. Solve -6*k + o = -0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2, -879, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -3\/2*b**3 + 47\/60*b**5 + 0*b**4 + 0 + 19*b**2 + 0*b. Differentiate f(i) wrt i.\nAnswer: 94*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 5) + 13 + 0 - (-1620)\/255\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**2 - 16988*w + 6179232 = 0.\nAnswer: -4584, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -5 (c) 11 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((3 + sqrt(162) + sqrt(162)*-4 + -2)*-6)**2*1 + -3.\nAnswer: -1944*sqrt(2) + 52523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*m - 478 - 44 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/5)\/(91\/((-1221675)\/2864)).\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -35 and 7226.\nAnswer: 7191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(1 + (-2 - 3))*72. Suppose -3*q + n = 6*q. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 13 = 3*a, -2*a - 70 = p - 72. Find the first derivative of -37*o**3 - 50037*o**2 + a*o + 44 + 50037*o**2 wrt o.\nAnswer: -111*o**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2488081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a - 12. What is the remainder when 33 is divided by o(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:20 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -50*p**3 - 30*p**2 - 134*p + 8427. Let m(g) = -25*g**3 - 12*g**2 - 67*g + 4213. Let f(h) = 2*c(h) - 5*m(h). Differentiate f(w) wrt w.\nAnswer: 75*w**2 + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1120761, -4483066, -10086907, -17932284, -28019197, -40347646?\nAnswer: -54917631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309266, 309270, 309274, 309278, 309282, 309286?\nAnswer: 309290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i**3 - 2*i**2 + 65*i. Let l(k) = 3*k**3 - k**2 + 22*k. Calculate -8*l(j) + 3*y(j).\nAnswer: 3*j**3 + 2*j**2 + 19*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 6*b = -4*b - 19, -b = q - 17. Find the second derivative of 0*m**4 - 9*m - q*m + 2*m**4 + m wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93261000 rounded to the nearest 1000000?\nAnswer: 93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4994370*l + 7457657.\nAnswer: 4994370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u - 2. Let d be g(3). Let x = d + -8. Let a be (-2)\/(-5) - (-13)\/x. What is the greatest common factor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 8*v**3 - 2 + 2 - v**3 to p*v**3 + w*v**2 + g*v + a and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 7:07 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11722594 and 598.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -1. Let l = 6 + u. Suppose -5*n = -l*n - 2. Solve 2 = -a - n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34 or -89159\/2568?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 + -29. Let g be 925\/o + -1 + (-4)\/(-22). Solve -5*v = -v - g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 387, 3175, 10771, 25581, 50011, 86467, 137355, 205081?\nAnswer: 292051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3767.3 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 2*a + 2. Let g be x(2). What is the common denominator of g\/((-360)\/411) - (-2)\/8 and -25\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/(-12))\/(69\/10). Let f = -241\/322 + y. Sort f, 0.1, 6.\nAnswer: f, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by -16 + (-2023)\/(-35) - (-8)\/(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781*i = -383*i + 347*i + 26553 - 91096 for i.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 836556, 836438, 836320, 836202, 836084?\n\"Answer: -118*r + 836674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -274, -411, -548, -685, -822?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 54 - 111 - 13*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/6)\/((-2)\/1). Let d be 64\/(-4)*c\/(-2). Suppose -9*m + d*m = -61. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -26. Suppose 2*y = -24 - 38. Let w = h - y. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 15 = -p - 7*y, -3*p = 5*y - 33. Suppose -3*c + 0 - p = 0. What is the units digit of c\/5 - 1778\/(-70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/(-6))\/((-1)\/70). Suppose -c = -3*g + 44. Let u = g - 42. Is 27 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u**2 + 38*u + 34. Let y be m(10). Let w be (-1)\/5 - y\/5. Let k = 61 - 10. What is the highest common divisor of k and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 646.915514 to 2 decimal places.\nAnswer: 646.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 14*z**5 - 8260*z**3 - 20603 + 480*z**4 + 50750*z**2 - 19*z**5 + 215625*z + 176853 - 120*z**4 = 0.\nAnswer: -2, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.3589 years in millennia?\nAnswer: 0.0243589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a meter in millimeters?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*q = -t - 45, 0 = -5*q + 25. Let a be (124 + -2)\/(t\/5). Let u = a + 113. Does 25 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 6\/7*w**2 - 12\/7*w + 1\/7*w**3 - 3\/28*w**4 - 18. What is g in v(g) = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-187)\/(-15) - 12) + 2\/(-3))*-25. Solve -2*a + 4*y - 2 = 18, -2*a - y = z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483621 + -461?\nAnswer: 483160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12479, 12369, 12183, 11921?\nAnswer: 11583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 854*v**5\/5 - 1278*v - 825. What is the derivative of g(h) wrt h?\nAnswer: 3416*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1662 + 6?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5279 + -5284. Put k, 129, -4, 6, -3 in descending order.\nAnswer: 129, 6, -3, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 4*r**2 + 8*r + 9. Give t(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 1. Let h(c) = 3*c**2 - 2*c - 1. What is h(w) - 4*m(w)?\nAnswer: -w**2 - 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/((-90)\/(-80)) - 8. Solve -4 = -b - v*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*((-208)\/(-48) - 6)*(6 - 9\/3)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmfgf. What is prob of picking 1 m and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26252654?\nAnswer: 2, 13126327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3399 divided by 103?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 39 = -2*g. Let d be 100\/6*(-1 + 4). Let i = d - g. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/17 + 40318*u\/17 + 120936\/17 = 0. Calculate u.\nAnswer: -20156, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 589\/(-93)*-3*(-1)\/(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:37 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -3\/287 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iryyiiiififi. Give prob of picking 1 r and 1 f.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7604 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/15 - 43004*q\/15 + 231168002\/15.\nAnswer: 2*(q - 10751)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 152252*f - 285620.\nAnswer: 152252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8\/31, 3, 1\/6 in ascending order.\nAnswer: -1, -8\/31, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20280 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -17 (c) -0.6 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.97824 decades in centuries?\nAnswer: 8.797824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*s**2*w - 1677*s**2 - 64677*s*w + 1079 wrt w?\nAnswer: -3*s**2 - 64677*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m**4\/2 - 1460*m**3 + 9412*m**2 - 6832*m + 1320 = 0.\nAnswer: 2\/5, 6, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 1905504?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 3)\/(2\/559)?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -9*w**2\/2 + 20*w - 2. Differentiate n(k) with respect to k.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*p - 15 = 0, 2*q + 22 = 4*p - 0*p. Let d(c) = -4*c + 1. Let a be d(q). Suppose -4*r - a = -65. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5 + 2*x + 0*x**2 - 2 + x**2. Let p be n(-2). Suppose 7*c - p*c = 164. Calculate the remainder when c is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/1536 + -17797\/1536. Let t = 45\/4 + w. Let y(p) = p**3 + p**2 - 2*p. Let x be y(-2). Which is the nearest to x? (a) t (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 23*y**3 + 3*y + 20. Let d be -3 + 8 + 15\/5. Let s(q) = 70*q**3 + 8*q + 60. Let v(j) = d*k(j) - 3*s(j). What is the first derivative of v(t) wrt t?\nAnswer: -78*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 343 - 696227?\nAnswer: -695884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 9:27 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22656 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 186 + -176. Solve -5*n = -15 + o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 305, 1410, 3363, 6254, 10173?\n\"Answer: 15*f**3 + 334*f**2 - 2*f - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*x + 61, 2*x - 3*l + 76 = -l. Let h = -5 + -1. Let c = h - x. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 15*o**2 - 17*o + 48. Let v be g(15). Let a = v + 216. What is the remainder when 56 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*s - 0, -5*g - 5 = -5*s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 4 (c) -5 (d) 3 (e) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/113 (b) -1 (c) -4.3 (d) -2\/7 (e) 0.5 (f) -18\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 1. Let s(a) = -109*a + 68. Let q(u) = -s(u) - 2*x(u). Differentiate q(n) wrt n.\nAnswer: 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19496 + -19454 + (-1)\/(46\/1938)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 64.283228 from -10305942.\nAnswer: -10306006.283228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -3*d - 5*q, -5*q - 6 = 9. What is the remainder when 888 is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.89 + -6.8949. Let h = z + -1.9951. Sort h, -2\/17, 5 in decreasing order.\nAnswer: 5, -2\/17, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*10765422\nAnswer: 5382711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14258840\/7 or 2036977?\nAnswer: 14258840\/7","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: -1452 divided by -1\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2036359*s + 51. Let d be c(-11). Suppose 3*j - 7*j + 8 = 0. Suppose 0 = j*y + 2*y - d. What is y rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 275*f**2 + 16263*f - 9. What is r(86)?\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 0*l**2 - 9*l - 1 + 14*l. Let x be j(4). Factor 0*c**2 - x*c - 2*c**2 + c.\nAnswer: -2*c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, 4, -24, -72, -146, -252?\n\"Answer: -z**3 - z**2 - 4*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*a - 26 = 0, 0 = -3*f - 0*f - 5*a - 3. Suppose -f*w = 3*w - 35. Suppose 0 = w*n - 2*n + 2280000. What is n rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -422\/5 + 84. Let h = -0.217031 + 1.217031. Which is the fourth smallest value? (a) -0.3 (b) f (c) 3\/2 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 4:22 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 2*h**2 + 7*h + 2. Calculate m(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2. Let v(c) = -4*c - 36. Let g(y) = -6*p(y) + v(y). Let x be ((-3)\/6)\/(1\/36). What is the tens digit of g(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 844800 and 8767200?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000055814 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by 5\nAnswer: -76\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 10*c - 13*c - 1007, 0 = 5*n + 2*c - 2508. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + bdd2?\nAnswer: bdcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 - 15*b - 15. Let k(a) = 2*a**2 + 0*a**2 - 4*a - a**2 + 0*a - 5 + 1. Calculate -15*k(s) + 4*m(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + (sqrt(2448) + -1 + 2 - sqrt(2448))*2*5) + 3)**2 + 2.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + 6.4?\nAnswer: 32.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -556d6 (base 15) in base 4?\nAnswer: -1002102333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20957731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -36, -44, -56, -72?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -17*b + 71. Let w be v(12). Let o = 155 + w. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0 (b) 6 (c) -12.354\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 293, 37 in decreasing order.\nAnswer: 293, 37, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.206 - 1.606. Let d = -0.4 - -0.4. What is the third smallest value in d, -1, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(36) - (sqrt(11) + -5*sqrt(44)))**2.\nAnswer: 3971\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/13 not equal to -2\/1115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - z**2 + 2*z**2 - 1. Let l = 4378 - 4377. Let g(s) = 3*s**2 + s + 2. Determine l*g(c) + 2*v(c).\nAnswer: c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 6682*q - 120930. What is l(18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -11. What is the units digit of 4\/r + (-3)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10911863 and 5?\nAnswer: 54559315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p + 5 - 5)*(2*p**2 + 0*p**3 - 4*p**2 - p**3).\nAnswer: 8*p**4 + 16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*sqrt(44)*-3)\/(-5*sqrt(28)\/(sqrt(7) - (sqrt(7) + sqrt(112)))))**2.\nAnswer: 1584\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 52. Suppose -5 = 4*j - d. Let k be (j + -6)*0\/(-2). Which is greater: 1\/10 or k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*j**3 + 1 + 3424*j**2 - 3424*j**2.\nAnswer: 38*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/20 and -39\/188.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*i - 170 = 6*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-4) + -6 + 0. What is the remainder when 22 is divided by 128\/(-24)*6\/u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 - 2.2. What is the closest to 2 in -0.5, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2\/5 - 11879*g\/5 - 47596 = 0?\nAnswer: -20, 11899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -45897 + 5 - 1 - 0\/(-44). What is o rounded to the nearest one thousand?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/16 and -21\/5816.\nAnswer: 11632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1878 less than or equal to -1878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2 + 8. Calculate the smallest common multiple of 24 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1015775421?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2180, 2114, 2048?\n\"Answer: -66*z + 2246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244621117.\nAnswer: 13, 971, 19379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*q**2 + 2800*q - 1399*q - 1383*q)*(-q**3 + q**3 - 2*q**3) - 11*q**5 - 2*q**5 + 9*q**5.\nAnswer: -62*q**5 - 36*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3 - 3 + 2 - 3 + u. Let d(g) = -5*g + 2. Give d(h) + 3*s(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2. Let k(z) = 147 - 8*z**2 + z**2 + 2*z**2 + 6*z**2. Calculate k(q(p)).\nAnswer: 4*p**4 + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 5)*(-4 - 0). Suppose 5*h - 3*h = -3*c + 9, -t*c = -4*h - 12. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/19))**(-8\/5))**(-5\/7))**(2\/21) assuming o is positive.\nAnswer: o**(32\/2793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 1 - (6 - (-2)\/(-2)). Let u(n) = -19*n**3 - 5*n**2 - 6*n - 6. What is the units digit of u(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 9:08 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -229323, -3, 7 in decreasing order.\nAnswer: 7, 4, -3, -229323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/14)\/(14\/(-98))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 13. Suppose 5*k - n*t - 16474 = -0*t, 2*k + t = 6586. Suppose -6*y + k = 420. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*h + r = 198*h - 443, 2*h + 4 = -2*r - 14 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from scicccwssi.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 838 - 275 - 281 - 282 + 2*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7460, 7537, 7640, 7769, 7924?\n\"Answer: 13*g**2 + 38*g + 7409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -35, -86, -177, -320, -527, -810, -1181?\nAnswer: -1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2303568?\nAnswer: 2, 3, 17, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u + 4*r = -12, -3*r - 16 = -2*u. Determine g so that -1\/5*g**u + 0*g + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160198.\nAnswer: 2, 173, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 829.8726 to 0 dps.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18098850 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 - (-156 + 144)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 3. Let f(v) = -13*v**2 + 119*v - 14. Let m be f(9). Let u(j) = 4. What is m*d(y) - 3*u(y)?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t = x + 399 - 712 + 355, 27 = 5*t - 4*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1273\/252 + -129\/28. Solve -4\/9*h**4 - 4\/3*h**2 - 4\/3*h**3 - i*h + 0 = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 4*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 38 = 2. Let j = k + -3. Suppose 0 = -j*d + s + 24, -5*d = s + 2*s - 28. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 10. Let m be b(10). Suppose -2*w + m - 10 = 2*z, w = 4*z + 20. Suppose w = -4*q + y + 57, -4*q + 33 = y - 14. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8525 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0*k**4 + 1\/60*k**5 + 19*k**2 + 0*k**3 + 0*k + 0. Let h(y) = -y**2. Give r(h(w)).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 + 8 - 74 + 7*u**3 + 14*u**4 - 5*u**4 with respect to u.\nAnswer: 36*u**3 + 21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/3 + 590*y**2\/3 - 43216*y\/3 - 43808\/3.\nAnswer: -2*(y - 148)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/142818 and 95\/1485354.\nAnswer: 2719683174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 83938.45 micrograms in kilograms?\nAnswer: 0.00008393845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/(j\/j**0)*j)\/j*j)\/(j*j**(-3\/2)))**(-5\/3))**(-6\/17) assuming j is positive.\nAnswer: j**(25\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 57. Let g be a(0). Let d be g\/(-57) - (-1 + 1 + -3). Solve -w = w + 4*r + 6, -d*w + 2 = 2*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54089901253152*y**2 - 20801904*y - 2.\nAnswer: -2*(5200476*y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16093 and 3050773.\nAnswer: 2299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 216.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19*-0.28.\nAnswer: -0.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 849298.\nAnswer: -1\/849298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 3:20 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = -786 + 226. What is the units digit of (-32)\/u - (2844\/(-10))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + 384*g + 3. Let s(t) = 3*t**2. Calculate r(s(z)).\nAnswer: -18*z**4 + 1152*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) -4 (c) 0 (d) -23 (e) -2308 (f) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1582556?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12, 3, 5 in decreasing order.\nAnswer: 12, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4146 and 199218064?\nAnswer: 597654192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -4. Let k = -86 - -91. Suppose 17*j + 4*c + 39 = 22*j, k*c + 40 = 5*j. Sort j, d, -2 in descending order.\nAnswer: j, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - t**2 - t - 1. Let b be n(2). Let z(h) = h**3 + 8*h**2 + h - 3. Let d be z(-3). Let m = d - b. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*y + 10 + 9, -21 = -3*y + 3*z. Let i be (-342)\/(-27) - (-4)\/(-6). Suppose -2*r + 4*r + 4*j = i, 2 = -y*j. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -51*v + 2 + v**3 - 3*v**2 + 4 + 24*v + 31*v. Determine c(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 70766640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 56*v + 59*v = 19, -15 = -3*v. Solve -5*d + 18 = -m*l - 7, 0 = -2*d + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -263270 by -26327.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10456 + 10445. Let o(l) = -3*l**2 + l. Let s(t) = 16*t**2 - 4*t - 1. Calculate g*o(b) - 2*s(b).\nAnswer: b**2 - 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3716 + 3715.6. Which is smaller: 19 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/2*(-8)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.5, 107, -2\/7, 1\/3, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (-4 - -10) + -4. Let b(x) = -x**3 - 2*x**2 - x + 3. What is the units digit of b(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, p: 6}. What is prob of picking 4 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -dc2d (base 14) to base 3\nAnswer: -1221012211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. What is the smallest value in v, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = -2*v, -v - 3*o = 75 - 72. Let d(b) be the third derivative of b**4\/8 + b**3\/3 - b**2. Calculate d(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 - -2.97. Let x = -0.9 - -0.6. Let n = -0.609 + 0.509. Which is the nearest to n? (a) x (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1041 + 51.1041. What is the nearest to 1 in b, 3, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b - 47. Suppose -8*p + 1101 + 1435 = 0. Suppose -17*l - 57 = p. What is the tens digit of q(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(-1) - (-9 + 12). Let y be i\/(-4)*24\/(-20). Suppose d - y - 10 = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 36 - 104. What is the nearest to q in -0.3, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - 2*sqrt(5)) + -1 + sqrt(25)\/(-3*sqrt(5) + sqrt(5)).\nAnswer: -3*sqrt(5)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -219, -358, -553, -804, -1111?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/14)\/(14\/(-637)*-13). Which is the second smallest value? (a) -2\/15 (b) 4 (c) -87 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 39\/(-24))\/(43\/172).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 (base 15) in base 8?\nAnswer: -504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27.924 != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.05 + 0.05. Let v = -2.3 - i. Let q be 156\/240 + (-2)\/5. Which is the biggest value? (a) -2\/11 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(9\/3 + (-45)\/16). What is the highest common factor of 128 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llellelell. What is prob of picking 1 e and 2 l?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 4*q - 5*q)*(0*q - q + 4*q) - 2*q**2 + 13*q**2 - 5*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -39. Let b = -26014\/5 - -5203. What is the closest to 0.1 in b, 2\/9, -0.05, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*w = -2 - 1, -a - 2*w - 4 = 0. Suppose s = -a + 5. Suppose 0 = s*h - 0*h - 15. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 452\/10 + (-9)\/15. Let c = 45 - j. Find k, given that c*k**3 + 6\/5*k**2 - 8\/5 + 0*k = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 353561986, 353561987, 353561988, 353561989?\n\"Answer: t + 353561985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvzuuzzv. Give prob of sequence uz.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127542, 255104, 382688, 510288, 637898, 765512, 893124?\nAnswer: 1020728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**0\/a**(2\/25) assuming a is positive.\nAnswer: a**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22351 and 5642.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16744*x - 3*o + 16 = -16745*x, 4*x + 9 = o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 3:27 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o + 5. Let q(b) = -5*b + 4. Let m(v) = -5*d(v) + 6*q(v). Let x = -98 - -97. Determine m(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19255 - -19254. Which is greater: i or 5\/4054?\nAnswer: 5\/4054","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7777336121?\nAnswer: 17137, 453833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 + 4*f**4 - 3*f**4 - 2*f**4 + 4*f**4 - f**4 + (f**2 + 0*f**2 - 3*f**2)*(f**2 - 2 + 2) - f**4 + 0*f**4 + 0*f**4 - 3*f**4 + 2*f**4 + 0*f**4.\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(1053) + -5 - sqrt(1053)) - (sqrt(637) + -1 + 2)**2*1.\nAnswer: -642 - 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 0.5. Which is the nearest to n? (a) 4 (b) -3\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 1*-2*4. Let o(a) = a**2 - 5*a. Let g be o(v). Suppose -2*j - j = -g. Is j less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -12 - (-6 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 19 - 8. Let i(z) be the first derivative of -3\/2*z**2 + 0*z + x. Let f(h) = 2*h. What is f(i(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116623609?\nAnswer: 116623609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -29. Let y = 90.3 + -101.2. Let f = y - x. Which is the closest to 0.06? (a) 2\/5 (b) 3\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.193 or 328963?\nAnswer: 328963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inn when three letters picked without replacement from {i: 7, n: 5}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -817\/3351 or 0?\nAnswer: -817\/3351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 1148?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -0.1 (c) -0.24 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*a + 6 + 0 + 2*a - a wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 171925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let s(j) = 14*j - j**2 - 7*j + 4 - n. Let o be s(7). Is 3 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.102 rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4592 and 2296.\nAnswer: 4592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 29*s - 6. What are the prime factors of j(-14)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 153 - 92. Is o a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -4.7. Let y = -10 + 6. Let j = y - -5. Which is the second biggest value? (a) j (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 79273 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*y - 40, 3*y + 48 = o + 2*y. Let b = -49 + o. Solve -3*w + 1 = -s - 12, -b*s = -4*w + 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, 2\/23, 3414, -7, -3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) 0.2 (c) 0.01 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32757 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 495749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293521363.\nAnswer: 5197, 56479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fakfkrardfafrrfa. What is prob of sequence rrd?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (157 - 260\/26).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 337, 318, 285, 232, 153?\n\"Answer: -h**3 - h**2 - 9*h + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 - 56. Suppose -5*f + 20 + k = 0. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 1614596766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59 and 15826278.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 2*d - 1. Let w be g(-3). Suppose -6*o + w*o = -100. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103053?\nAnswer: 3, 34351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 147, 163, 185, 213?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39882 + 3230504\/81. Calculate the common denominator of -17\/81 and t.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 6*n - 5. Let k be s(-5). Let o = k - 1. Sort 2, 3, o.\nAnswer: o, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 372421, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 8*h - 4. Let o be l(-8). Which is the nearest to -2\/3? (a) 5 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 564 by 6.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 31946, -2\/31, 307?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*o - 41, -5*o + 61 = -2*t - 10. Let i be -12*(o\/6 + -3). Find the third derivative of 2*u**2 - u**6 + u**6 + 3*u**i wrt u.\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 32 = 2*a. Let v = a - 5. Factor -1\/5*j**5 + 0*j**v + 1\/5*j + 0 + 2\/5*j**4 - 2\/5*j**2.\nAnswer: -j*(j - 1)**3*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6799*r**3 + 13595*r**3 + 367 - 6798*r**3.\nAnswer: -2*r**3 + 367","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1014094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*p**4 + 14*p**3 + 2541*p**2 - 2973*p + 1896?\nAnswer: -288*p**2 + 84*p + 5082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7358114148 a multiple of 15708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 583 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7781130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1 = m - 65, -4*m = 4*a - 56. Suppose 5*w + 39 = 3*f, 2*f + w - a = -0*f. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + n - 1. Let m(g) = 4*g**2 - 7*g + 11. Let t(k) = -m(k) + 3*y(k). What is the lowest common multiple of 160 and t(6)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 1 (c) -0.4 (d) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 5:58 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.094\nAnswer: 0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5707205598.\nAnswer: 2, 3, 19, 983, 50929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-2*3)\/((sqrt(40)\/sqrt(4) + sqrt(10))*-4) + ((-1*sqrt(357))\/sqrt(7))\/(sqrt(3) + -5*1*sqrt(3) - sqrt(3)))**2.\nAnswer: 6137\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 c when three letters picked without replacement from ceucccccc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2585)\/(-2068)*-2*(-4)\/(-40*1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 4*b**2 + 4*b - 5. Let q = -43 + 41. What are the prime factors of z(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3215725 and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z**2 + 36*z + 17. Calculate f(7).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8342006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y + 3*y + 24 = 0. Which is smaller: y or 1\/168?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 4*k - 3*k)*(22971*k + 31663*k - 32959*k - 129 + 129 + 36138*k).\nAnswer: -57813*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33357 from 1.68884.\nAnswer: 33358.68884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -47470, -47383, -47290, -47185, -47062, -46915, -46738, -46525?\n\"Answer: s**3 - 3*s**2 + 89*s - 47557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 0 + (-4 - (4 + 7))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1662\/163 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.36 rounded to 0 dps?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - a**2)*(-2*a + 2*a**3 + 2*a) + 37*a**5 + 25*a**5 + 5*a**5.\nAnswer: 65*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**3 - 3*k + 4. Let t(w) be the first derivative of 5*w**4\/4 - 2*w**2 + 5*w + 3. Let r(g) = 4*c(g) - 3*t(g). What is r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64313.13 micrograms in nanograms?\nAnswer: 64313130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + c. Let d(j) = j**2 - 9*j - 1. Let a be d(0). Let z be g(a). Solve 0*q + z = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44556672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/181940200 and -89\/3040.\nAnswer: 727760800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1680\/(-1260))\/((-224)\/(-42)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6}. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/544872 and -23\/3732?\nAnswer: 544872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3985324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.49 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from hhhzhszhhzqzhhhhs?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 137 = -151. Calculate the remainder when 56 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58718?\nAnswer: 2, 11, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -778 = -5*k - 2*w - 772, -2*k - w + 3 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 22, 32, 44, 58, 74, 92?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.49 in 0, -0.5, 0.4, 19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 55 = x. Let j = 95 - x. Let m be 7\/(-4) + (-10)\/j. Put -5, m, 4 in increasing order.\nAnswer: -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, v: 1}. Give prob of picking 2 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18684 + 18519.928. What is o rounded to the nearest integer?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 659 + -352. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 664048 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -222111*g**3*q**2 + 2*g**2 + 188*q**2 - 576*q wrt g?\nAnswer: -666333*g**2*q**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2+36099\nAnswer: 36101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 277\/12 + -91\/4. Let g(m) be the second derivative of 4*m + 0*m**2 + 0 - l*m**3 + 1\/6*m**4. Factor g(n).\nAnswer: 2*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u*u*u\/(u*u*u**(-1\/22)))\/u)*u**(-28)*((u*u\/u**(3\/14))\/u)\/(u**5*u) assuming u is positive.\nAnswer: u**(-2484\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**5\/30 + 2*b**2 + 4. Let g(q) be the second derivative of n(q). Let s(d) = 2*d**2. Give g(s(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*r - 12 = 0, -25 = -3*r - 2*r. Solve z*l - 20 = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h**5 - 13*h**5 + 9*h**5 - h**2 + 0*h**2 wrt h?\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8, -12, -18, -26, -36, -48?\n\"Answer: -p**2 - p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**3 - 2463*r**2\/4 - 1857*r\/4 + 309\/2 = 0.\nAnswer: -1, 1\/4, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 3*j + 2*j)*(7 + 4 - 2)*(-2 - 2 + 1).\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/31? (a) -4 (b) -1.1 (c) -0.3 (d) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.33 - -0.2. Let b = l - -0.13. Put 4\/3, b, -2 in increasing order.\nAnswer: -2, b, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-18)\/4))\/(34\/51)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 6*a**2 - a + 7. Let q be f(6). Let u be (-1 + 1)*q\/2. Suppose -l + 4*n - 2 = u, l = -4*l + 2*n + 8. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 241*q. Let s(c) = -2*c**2 - 16. What is s(l(y))?\nAnswer: -116162*y**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241907?\nAnswer: 241907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 9*w + 20 = 0, -2*r - 14 = -4*w. Let c(j) = -202*j - 1210. Let a be c(-6). What is the second smallest value in r, 4, -2, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.599 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7316)\/(-5487)*2*(-87)\/2?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 114\/2*1\/(-158) and (-236)\/(-960)*12 + 4\/(-5).\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 17*z**3 + 18*z**2 - 4*z. Let w(b) = -52*b**3 - 54*b**2 + 11*b. Let g(f) = -4*w(f) - 11*x(f). Find the third derivative of g(o) wrt o.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770977.25 seconds in weeks?\nAnswer: 2.928203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 a when four letters picked without replacement from zhzhdhzffahhdfdhhf?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 at most as big as -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2521183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 + v - 4. Let y(f) = 3*f**3 - f + 3. Give 3*a(o) + 4*y(o).\nAnswer: 6*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*q + 49*q + 4 = 0, 3*r + 2 = q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-6) - (-6)\/9. Let c(n) = -n**3 - n**2 + n - 1. Let v be c(f). Solve -3*y = -s + v - 2, 0 = -s - 2*y + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-7 - (10 + -9) - -6) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8567297*g**3*t**2 + 1705519*g**3*t - 14*g**3 - 17*g**2*t**4 wrt t.\nAnswer: -17134594*g**3 - 204*g**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4374)*3 + sqrt(4374))\/sqrt(2))\/(sqrt(1089) - (sqrt(1089) - (sqrt(1089) + -3*sqrt(1089) - sqrt(1089)))*-1).\nAnswer: 36*sqrt(3)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118128 divided by -24.\nAnswer: 4922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 19. Let r(a) = 4*a - 8. Let x(j) = -3*j + 7. Let o(m) = t*r(m) - 7*x(m). Suppose 2*b + 7 - 13 = 0. Let p(w) = -2*w - 2. Calculate b*o(n) - 4*p(n).\nAnswer: -n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -15*l**3 - 1. What are the prime factors of z(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 32, 146, 384, 788, 1400?\nAnswer: 2262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17, -30, -41, -50, -57, -62, -65?\n\"Answer: c**2 - 16*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -9925.\nAnswer: -23\/9925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 365143817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnwq when four letters picked without replacement from {a: 1, q: 2, d: 1, m: 1, n: 1, w: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-6)\/10*(-1 - -11). Solve -2*u - y*t - 20 = 0, 9 = -5*t - 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**8\/3360 - n**7\/630 - n**6\/120 + n**4\/4 + 4*n. Let h(a) be the third derivative of z(a). Suppose h(t) = 0. What is t?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*s = -84*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v - 98. Let q be n(4). Suppose -3*p = -2*p - 144. Calculate the remainder when p is divided by (-12)\/q*-3 + 1845\/63.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443405 (base 6) in base 4?\nAnswer: 21003131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -21, -3891, -19 in descending order.\nAnswer: 0, -19, -21, -3891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3, -7, 7\/4, 45 in ascending order.\nAnswer: -7, -1\/2, 7\/4, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -199, -381, -577, -793, -1035, -1309, -1621?\n\"Answer: -d**3 - d**2 - 172*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 263\/(-29) + (-470)\/(-6815)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -8. Calculate the remainder when 14 is divided by 4\/a - 104\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 10) to base 7.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 155.98 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w + 10. Let j(c) = -c + 3. Let s(o) = -10*j(o) + 3*v(o). Let u(a) be the first derivative of -a**3\/3 + 46. What is s(u(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2397985 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711601519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194531, 777990, 1750399, 3111740, 4861995?\nAnswer: 7001146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b - 89. Let y(c) = -9*c + 268. Let n(u) = 8*x(u) + 3*y(u). Let g be n(-16). Solve 4*j + g = 2*k, 4*j = -k + 6 - 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9677637 and 19025.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -31200*n - 9609589. Calculate c(-308).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2227679 is divided by 180.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 0*n**2 - n**2)*(9 + 7 - 2).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5213814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 985, -2, 14, 10 in increasing order.\nAnswer: -4, -3, -2, 10, 14, 985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 13*n - 6 - 12*n - 11. Let w be r(16). Is w\/2*(-1424)\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b. Let d(a) = 7*a. Let f(p) = 3*c(p) - 7*d(p). Does 6 divide f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 221 - 226. Let o(a) be the first derivative of -2 + 4*a + 3*a - 7*a**2 + 8*a**2. Calculate o(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/410988?\nAnswer: -1\/410988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + 453454102?\nAnswer: 453454131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11.60818*579\nAnswer: -6721.13622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/4)\/(21\/56). Suppose -3*f - q = -5. Let c(z) = -11*z - 1. Is 16 a factor of c(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-630)*-21*3*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 o when four letters picked without replacement from vovvvoalvojon?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**3 - 5. Let o(q) = q**2 - 1. Let n(k) = -m(k) + 5*o(k). Factor n(r).\nAnswer: 5*r**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/30)\/(1\/(-5)). Let f(n) = -d - 3*n + 3 - 5*n - 3*n. Calculate f(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -7*v**4\/4 + 6511*v**3\/2 - 930*v**2 = 0?\nAnswer: 0, 2\/7, 1860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-25)\/k**(4\/9)*k**(-16)*k**(-29))**6 assuming k is positive.\nAnswer: k**(-1268\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-4\/3))\/x**(-40))**(-19\/5))**15 assuming x is positive.\nAnswer: x**(-2413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(81\/90) + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*h + 451*h - 114*h - 81*h - 3*h**2.\nAnswer: -3*h**2 + 219*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 332 and 6092200?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 554.7925ns?\nAnswer: 0.0000005547925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/48 and 39\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p**2 - 2*p - 1. Suppose 2*b = -23 + 7. Let a = b - -7. What is the units digit of w(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 1.01, -4, 0.2, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.65*-0.1388.\nAnswer: 4.80942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/7 - 17216*c**3\/7 + 36858972*c**2\/7 + 817157440*c\/7 + 4505852450\/7.\nAnswer: 2*(c - 4315)**2*(c + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -13 - 16\/((-6)\/3) - -6. Sort 4, -2, -14, z.\nAnswer: -14, -2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6765*a**3 + 6560*a**3 - 13321*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**5\/40 - 161*q**4\/24 + 79*q**3\/2 - 150*q - 2. Factor o(n).\nAnswer: n*(n - 158)*(n - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/19? (a) -3\/109 (b) 0.3 (c) -5 (d) 0 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1996906 millennia?\nAnswer: 19.96906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.6 (b) -1\/4 (c) 32 (d) 13 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6\/11 + ((-241155)\/(-198) - 63\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qoqcqqcqoqqqq.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 68, 50, 6, -76, -208, -402?\n\"Answer: -2*s**3 - s**2 - s + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 5*q**3\/3 - 2*q**2 - 25*q - 7. Let b be t(11). Suppose b = 4*p - 5*g + 41, 0 = -3*p + 4*g + 372. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6822 is divided by 72.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 1)*(-9 + 9 - 13*x)*(x**2 + x**2 - 3*x**2).\nAnswer: -52*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + (-9 - (5 + -14))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34909 is divided by 4310?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1104 - -2820. Let v = -44 - g. What is v rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 251?\nAnswer: -24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*h - 2*h - 246 - 7*h)*(-25 + 31 - 19) as l + u*h and give l.\nAnswer: 3198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - 0 - (-3 + 4). Let v(r) be the third derivative of -r**6\/120 - r**5\/10 - r**4\/24 + 7*r**3\/6 + 2*r**2. Is v(g) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 3*t**2 - t - 4*t**3 - 145 + 144. Let r be j(-1). Find the second derivative of 6*z**2 + 10*z - 11*z - z**2 + z**r wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**5\/3 + 199*w**2 - 2. Let b(k) = 185*k. Calculate c(b(f)).\nAnswer: 684500*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 64, 75, 72, 49, 0?\n\"Answer: -k**3 - k**2 + 21*k + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 - (17 + 3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 15 = 9*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)*1*-2.\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2 - 178527*x - 2677680 = 0. Calculate x.\nAnswer: -178512, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*v + 73*v + 8 = 2*q, -2*q + 18 = 2*v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 19*d + 10. Let t(w) = w**2. Let v(l) = -q(l) + t(l). Suppose 63 = -47*s + 54*s. Give v(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 2*b**2 - 41*b + 3. Let z be m(0). Solve 8*p - 3*g - z = 12*p, -4*p + 4 = -4*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 4*h**2 + 3*h. Let i(s) = -2*s**2 - s - 2. Let j(a) = -2*a**2 - a - 3. Let m(o) = -3*i(o) + 2*j(o). Give -7*m(u) + 3*r(u).\nAnswer: 3*u**3 - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 2*t**2 - t**2)*(-6*t - 3*t - 4*t).\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1229*o + 52. Is g(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66*y + 64*y + 37*y**2 + 47*y**2)*(7*y - 16*y + 7*y + 4) to the form x*y**3 + t + u*y**2 + d*y and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o. Let t(h) = -2*h - 2. Let q(d) = 5*g(d) - t(d). Let y(x) = 8*x - 6. Give -11*q(n) - 4*y(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2388 + -2215.32. Let j = -169 + u. Let c = j - -0.62. Round c to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9. Let h(i) = 2*i - 35. Let j(s) = h(s) + 4*u(s). Let k(v) be the second derivative of v**3\/6 - v**2\/2 - v. Calculate j(r) - 3*k(r).\nAnswer: -r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -716c?\nAnswer: -7168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -976 - 228 - 666 - 863 - 2*f + 85.\nAnswer: -2*f - 2648","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 2*b = 12, 443*p - 9 = 444*p - 2*b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 504 - r**2 - 3*r + 230 - 390 as b*r**2 + p + q*r and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i - 6*i)*(-2 - 3 + 3) - 3*i + 2*i + 3*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16*20\/(-640))\/((-3)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - r**2 - r + 2. Let u be f(0). Let p(b) = b + 2*b**u - b**2 + 1 + 0. Let w = -657 + 655. Determine p(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -59*h. Let z(m) = -6*m. What is z(p(n))?\nAnswer: 354*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 182796000 divided by 375\nAnswer: 487456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - 1) + -4 - -2) + -1 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 0*s**2 + 5*s**2)*(-5 + 4 + 4)*(-7 - 1 - 8*s + 5*s).\nAnswer: -54*s**3 - 144*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(425) + (sqrt(425) - (1 + sqrt(425))) + 1 - (3 + 2*sqrt(425) + sqrt(425)*-1*1)) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 38373*a - 345600.\nAnswer: 3*(a - 12800)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-3)\/(-3 - 0) + 1 - -8 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 591926174.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 53 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17399089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(17)*-3*2)**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3219 - 2723.6. Let k = -495 + l. Is -15 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1531*l**3 + 3 + 1413*l**3 + 445*l**2 - 443*l**2.\nAnswer: -118*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3491\/18 - 395\/2. Let l = 7043 - 190186\/27. Find the common denominator of o and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**7\/21 - 17*g**6\/30 + 25*g**4\/2 + 64*g. What is the third derivative of b(z) wrt z?\nAnswer: 120*z**2 - 408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15356470 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: Round 48543.8207 to zero decimal places.\nAnswer: 48544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 16 = 2*t - 100, -3*x + 91 = -4*t. Let d(w) = 16*w + 66 - x - 29. What is d(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 10124.\nAnswer: -1012.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4276911\/34*(-10)\/(-15)?\nAnswer: 17, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let p(h) = 5918436*h**2. Calculate j(p(q)).\nAnswer: 5918436*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 10*s**2 - 6. What is the remainder when j(-9) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 29*y - 27. Let w(m) = 87*m - 79. Let s(p) = -4*w(p) + 11*x(p). Let r(n) = -2*n + 3. Let c(z) = -6*r(z) + s(z). Calculate c(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9746 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 5*u - 24. Let q be (8\/(-6))\/((5\/u)\/1). Calculate the greatest common divisor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 55. Solve 2*v + u = -4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11.5, -2\/53, 4, -41?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9130*r**4 - 94813 wrt r.\nAnswer: 36520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 8*l**2 - l. What is y(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/24 - ((-12364)\/(-32))\/11.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 + 4*b**4 + 12*b**3 - 32*b**2 - 64*b.\nAnswer: -b*(b - 4)**2*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -0*k. Solve -m = -k*m + 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 3, n: 9}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 219590?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -24. What is the biggest value in -0.4, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15941, -3, -5 in increasing order.\nAnswer: -5, -3, 2, 15941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -11*s - 2. Let w be l(-4). Let m = -10 - -12. Suppose i - 4 = m. What is the highest common factor of w and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 2*g + 102. Let a be y(9). Let p(z) = 2428 - a*z - 2428. Let x(m) be the third derivative of 7*m**5\/30 + m**2. Determine x(p(q)).\nAnswer: 126*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 7891*b**2 - 78835*b + 197025.\nAnswer: -(b - 7881)*(b - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1445748)\/(-49609) - (-1)\/14*-2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**5\/50 - u**3\/5 - 5*u**2. Factor v(i).\nAnswer: 6*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 4 - 6)*(12255*h - 92*h**2 - 12255*h - h**2 - h + h - 5 + h**2 + 5 + (2*h - h + h)*(2*h + 0*h - h) - h**2 + 0 + 0).\nAnswer: -546*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 21, 40, 67?\n\"Answer: 4*r**2 - r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1844 and 81\/2.\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133147 divided by -115.\nAnswer: 5789\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1013312?\nAnswer: 1013323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3471\/1869)\/(-3 - 310\/(-105))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -15.7. Let k = 0.5 - r. Let l = -5.5 - -3.5. Which is the nearest to l? (a) 1\/4 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -21\/5, 0.168, -3.\nAnswer: -21\/5, -3, 0.06, 0.168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 0 + 2\/3*p**3 + 0*p**2 + 16*p. Let j(a) = -2*a. Calculate v(j(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*b + 61*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.529978 and -171643.1.\nAnswer: -171642.570022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.125 - -0.225. Let h = -24.7 + 25. Which is the third smallest value? (a) h (b) -3\/5 (c) 0.03 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 242*b**2 + 2*b**4 - b**3 + 242*b**2 to the form p*b**3 + h*b + d + n*b**4 + u*b**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 2, q: 2, c: 1, s: 3, f: 2}. Give prob of picking 2 d.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 111661616366 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*k - 29167 = -26959 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -16.2, 9, -5, -0.5, 1, 3, 2\/5 in increasing order.\nAnswer: -16.2, -5, -0.5, 2\/5, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 9:38 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -327967\/22 + 14905. Let j be 649\/(-55)*((-15)\/216)\/1. Let z = j - 4\/9. Calculate the common denominator of b and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3921 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1629, -3263, -4935, -6663, -8465, -10359, -12363, -14495?\nAnswer: -16773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138 - 114. Suppose 7*q = c + 18. Suppose j + 131 = q*j - g, j - 43 = -4*g. Calculate the remainder when j is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 74 in 4, -0.5, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -369*u - 11. Let d(p) = 184*p + 7. Give 5*d(z) + 3*y(z).\nAnswer: -187*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*m**2 + 158*m**2 - 319*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1759 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/611 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 5*b + 2. Let a be z(4). Let x(i) = -9*i**3 - i**2 + 3*i + 2. Let o be x(a). Let f = 10 - 2. Calculate the highest common factor of o and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 5*g**3\/6 - 8*g. Let a(r) = -r. Calculate a(c(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.3. Let o be ((-27)\/(-7))\/(-3) - -1. Which is the nearest to d? (a) 0.3 (b) o (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35728?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by -6.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -263*s + 145*s - 170*s - 177*s in the form i + q*s and give q.\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) 2 (c) 4 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(sqrt(1872) - (-1 + sqrt(1872) - sqrt(1872)))**2.\nAnswer: -3746 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64022, -255045, -573416, -1019135?\nAnswer: -1592202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 e, and 1 s when three letters picked without replacement from {s: 1, y: 1, e: 4, k: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-360)\/(-80)*(-6)\/9. Sort -5, 5, d, -13 in descending order.\nAnswer: 5, d, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 14 (c) 1\/6 (d) -0.2 (e) 44\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19285 and 1055.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -80 (b) 2\/13 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -98841 - -56?\nAnswer: -98785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Suppose b*u = 4*u - 16. Let w = 5 - 4. Calculate the greatest common factor of w and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -23\/6*w**3 + 0 + 0*w**4 + 0*w**2 - 2*w - 13\/20*w**5. What is the second derivative of v(r) wrt r?\nAnswer: -78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001701999 rounded to six decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 2:04 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 26 = 4*f, 2*f = 9*p - 7*p + 14. Let d(o) = -3*o. Let s(w) = w + 1. Give p*d(h) - 2*s(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**2 - 5*k**2 + k**2 + 0 + 0 + 2*k**2 + (-4*k + k + 2*k)*(-k - 3*k + 2*k) + (k + 0*k - 3*k)*(13*k - 20*k + 11*k + 5) to y + s*k**2 + t*k and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -5. Suppose -2*h = h. Which is the nearest to -0.1? (a) h (b) -1\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1184 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -38. Which is the nearest to o? (a) 0.3 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = o - 6*o. Let y = o - -1. Suppose 0 = 4*v - 3*n - 130, v - y*n - 58 = -v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 9:29 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -89*z**2 - 169*z + 2. Let u(g) = g**2 + g + 1. Let b(a) = -d(a) + 2*u(a). Find the second derivative of b(h) wrt h.\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a milligram in micrograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.53 in 0.0289, 1, 0.3?\nAnswer: 0.0289","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57088 and 12032?\nAnswer: 2683136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127110929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 11:00 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (-4)\/(-16))*5*4. Let q = x - -92. Let w = 35 - q. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13595348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12 - 0.17. Let u(t) = 8*t**3 + 74*t**2 + 18*t - 2. Let p be u(-9). Sort x, 9, p, -3\/5 in decreasing order.\nAnswer: 9, x, -3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 496375655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 4 + (4 - 3 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -71, 3\/5, -3\/5, 135?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/88 and -40\/1221?\nAnswer: 9768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Suppose 0*b + 2*b - 22 = m*r, 2*r - 5*b = -23. Let f(w) = -3*w - 8. What is the remainder when 5 is divided by f(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 31. Let s = -8 + 11. Solve s*a + 2*a = -v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**2\/2 + m - 34. Give q(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*y + 6 = 0, -11*y = 3*h - 6*y + 6. Let f be 33\/(-6)*(-2 + 0). Suppose 0 = -4*u - 8, -o + 2*o + 5*u = -f. Sort h, o, -3.\nAnswer: -3, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 341*a*d*p + 207*a*d - 2*a*p - a + 2*d*p + 4*d - 18*p - 1 wrt a?\nAnswer: 341*d*p + 207*d - 2*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 + 50*h + 93. What is p(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**4\/24 - j**3 - 15*j**2. Give v(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -33510?\nAnswer: -33505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 9:57 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 12. Let z(c) = -c**3 + 6*c**2 - c - 3. What is the units digit of z(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -593 + 1188 - b**2 - 596 - 2078*b + (-2*b - 2 + 2)*(3 - b - 3).\nAnswer: b**2 - 2078*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10534215 take away -7237833?\nAnswer: -3296382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16731 is divided by 102.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - w + 1. Let s(n) = -2 + 9*n + 8*n + 10*n - 25*n + 6*n**2. Let x(z) = -2*o(z) - s(z). Let k(y) = -8*y**2 - y + y. Give k(x(i)).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -125 - -137. What is the lowest common multiple of 82 and f?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766 > -22\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/sqrt(6))\/sqrt(3) + 2.\nAnswer: 2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5902471 (base 11) to base 3\nAnswer: 201101211022221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9437, 18868, 28297, 37724?\n\"Answer: -c**2 + 9434*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21363 divided by 3?\nAnswer: 7121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2150281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007872 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(-4 + 49))\/((-2)\/(-4)). Sort k, -0.3, 14 in decreasing order.\nAnswer: 14, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2590565848 to the nearest integer?\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 7, 3, -1.\nAnswer: -6, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3085 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/1)\/(28 + -79 + 58)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3741 + -0.37420756. What is g rounded to six dps?\nAnswer: -0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 127443302.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -6.3, -1\/6, 2\/9, 15\/49?\nAnswer: 15\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/3*-1*(0 - 2). Suppose -f*v + 22*v = -800. Put v, -4, -1 in decreasing order.\nAnswer: -1, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89618 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7 and 51007.\nAnswer: -86711.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1284073.\nAnswer: 7, 183439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3\/2 - (-3135)\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -431.733 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14788414*k**2 + k - 3*k**3 - k + 14788414*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -239429 and 1.\nAnswer: -239429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*v - 4. Suppose 2*q = 1 - 3. Let r = q - -2. Calculate the smallest common multiple of v and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.218 and -0.03836?\nAnswer: 6.17964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 1. Let m(s) = -1 + c*s - 5*s + 1. Let u(f) = f. Calculate m(u(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/833347, 2, -2\/3 in descending order.\nAnswer: 2, 0.3, -2\/833347, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -1. Let w(a) = a**2 - 3*a - 2. Let k be w(l). Let z be 5 - ((-4)\/k)\/2. Solve -14 = 2*m - 2*g, -8 - 25 = 5*m - z*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2119, -8998, -20477, -36568, -57283?\nAnswer: -82634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 4 - c**2 + 0*c**2 + 2*c**2 in the form r + t*c**2 + f*c and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 338*i**3*v**5 - 4*i**3*v**2 - i**2*v**5 - 472*v**2 wrt v.\nAnswer: 20280*i**3*v**2 - 60*i**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-6) + 0)\/(2\/(-32)). Let z be 4\/q - 6\/(-4). Let h be (z\/(-2))\/((-5)\/20). Solve 3*g = 2*s - 1, -h*g - 1 + 7 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -d + 3, 3 + 12 = 3*q - 3*d. Let f = 4 + q. Calculate the greatest common divisor of f and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 15*x - 7*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 458 + -505 - (-27 - -3).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/13 + 6*o**2\/13 - 8\/13.\nAnswer: 2*(o - 1)*(o + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**4\/6 - d**3\/3 + 8*d. Let z(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*z - 21 = 0, 165 + 166 = -4*h + 2*z + 363 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 1:29 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 7:31 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*v - 5*v - 16, 4*r = 2*v - 16. Let i = r + 14. Calculate the highest common factor of 50 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*a - 4 = -3, 5*a - 11 = -2*p. Let t = -25.07 - -0.07. Let g = t - -21. Sort -2\/5, g, p.\nAnswer: g, p, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*a + 210*a = -516 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8748.6885 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2702 + -810. List the prime factors of n.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/21*(-56)\/(-152)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -12 - 13) + (-2 - (-2 - 4))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Let s = 40 + -17. Calculate the remainder when 68 - 1*(g - 1) is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - c + 5 = 0, -6*k + 5*k = -3*c + 1. Let t be 3\/(-1)*(k + -3). Suppose 6*x = -2*a + t*x + 176, 4*a = 3*x + 370. List the prime factors of a.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11 - -0.11. Let v be (4\/4 - 4) + 3. Suppose 0 = -7*t - v*t - 14. What is the nearest to 1 in t, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.345 - -0.055. Let i = 6 - f. Which is the smallest value? (a) -0.1 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11024490 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62887?\nAnswer: 11, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.35727 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + -17 + (14 - 0 - 11)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*a**5 - 42242*a**4 + 12*a**3 + 113*a**2 - 52871 wrt a.\nAnswer: 720*a**2 - 1013808*a + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -337102273 * 0.2\nAnswer: -67420454.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 4\/5 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by -10?\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 + 1503636?\nAnswer: 1503661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/117 - 3464\/36. Let f be 8\/64 + (-2307)\/24. Is f > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**5 - 91*n**3 - 4*n**2 - 68*n wrt n?\nAnswer: -60*n**2 - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.6932 * -32\nAnswer: 22.1824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.98 - -0.02. Let g = 8 - 4. Let c be ((-18)\/27)\/(g\/(-3)). Sort c, r, -0.4 in increasing order.\nAnswer: -0.4, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 0)\/(3 + -1). Suppose 2*g + 5*z = 81, 4*g - 9*z - 237 = -4*z. Suppose r = 5*w - g - 92. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*d = -34, 4*d = 6*w + 2*d - 80. Let l be 17079 + w - (3 - 0). Round l to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 658838 + -152647. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/155 (b) 3 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-15 - -13 - (0 + 4))) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.0965 rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b - 9. Let h = -7 - b. What is n in -3 + 2*n**2 - h + 0*n**2 - 2*n = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(20))**2 + 0 + sqrt(11) + 0.\nAnswer: 11\/4 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 - 65 = -31*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 7*s - 3*s - 9482, -4*q = 2*s - 4744. Suppose -3*k = -13*k + s. List the prime factors of k.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2747 - -2748. Which is the closest to -1\/13? (a) 1\/5 (b) 5 (c) l (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Let k(g) = g**3 - g**2 - 2. Let h be k(o). Solve h*d - q = -d + 7, 18 = 2*d - 4*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72384 divided by -1392\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*q + 100*q + 8. Let t = 0.1 + -0.1. What is the closest to t in q, -1\/4, -3\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90150, -180300, -270450, -360600?\nAnswer: -450750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6442806 divided by -3.\nAnswer: 2147602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 930 divided by -3.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 803368?\nAnswer: 160673.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11279 + 12185. What is the greatest common divisor of i and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 - 2*d**2 + 2*d**2)*(2*d**2 - d**2 - 3*d**2) + 8*d**5 - d**5 - 2*d**5 + (-3*d**4 - 2*d**4 + 3*d**4)*(-2*d + 1 - 1).\nAnswer: 13*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36052886 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -1. Calculate the remainder when 28 is divided by 8 + (3\/m - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are 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 the distance between -15.42747 and -0.1714?\nAnswer: 15.25607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l + 4*z = -7, 5*l = 4*z + 37. Let d(x) be the third derivative of -x**4\/6 + 7*x**3\/6 - 920*x**2. Let k(o) = 2*o - 3. Give l*k(m) + 2*d(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(180)*1 - sqrt(180))*4 + -4 + (1*sqrt(180)*-3 + sqrt(180) - (sqrt(180) + -2 + 0 - sqrt(180))))**2.\nAnswer: 240*sqrt(5) + 820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 75778080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 7*g - 12*g + 1160, -602 = 2*q + 3*g. Let c = -90 - q. Is c a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 541, 531, 491, 403, 249, 11, -329, -789?\n\"Answer: -3*o**3 + 3*o**2 + 2*o + 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -262520 divided by -1\nAnswer: 262520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (124*t**2 + 17*t**2 - 18*t**2)*(-12 - 18 - 3).\nAnswer: -4059*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1216*h + 13964 + 22595 = -3569 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4886?\nAnswer: 2, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7070258 + 5579758. Suppose 2*n + k + 5059996 = 0, -n - g = 4*n - 4*k. Round n to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 75\/27 - (-4)\/18. Suppose 3*k = 0, h - k = 3*k. Solve -j = -h + r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 65 (b) 5 (c) -0.618\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7392 is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10935560147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5 + 3*d - 4*d**2 + 3 + 6 + d**3. Is 7 a factor of r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4095398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 318*o - 37689 - 27989 - 21136. Calculate the least common multiple of 70 and o.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and -201288.\nAnswer: -201297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 3) + -3 - -32. Let x = 58 - p. Suppose x = m - 0*l - 4*l, -4*l - 65 = -3*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*m + 6, -2*m = 4*y - 0*y - 4. Let c(h) = h + y*h + 0*h. Let a(f) = -5*f. Give c(a(j)).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/(-200))\/(6\/(-8))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -460597*h*y**3 + h + 1686617*y**3 wrt h.\nAnswer: -460597*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/628)\/(1*6\/(-3)). Let j = -149\/628 + y. Which is the biggest value? (a) 6 (b) -0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -83 - 0*(-2)\/8. Suppose m - 43 = 2*p - 10, 2 = 2*m. Let h = p - f. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 399\/(9\/3). Let x = 218 + s. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.94 plus 39853930?\nAnswer: 39853929.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2. Suppose 0 = -3*q + v - 4, -2*q + 4*v = 8*v - 16. Suppose 0 = l + 1, l = -2*i - q - 5. Let s(t) = -t - 4. What is i*s(r) - 5*n(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -48*p**5\/5 + 140*p**4 - 532*p**3 + 780*p**2 - 448*p - 6527. Find i, given that m(i) = 0.\nAnswer: 1\/2, 7\/6, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085180341.\nAnswer: 7, 155025763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 70 = -30. Let p(j) = r*j + 2*j - 5*j. Let h(c) = -2*c**2. What is p(h(k))?\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**5\/3 - 4242*i**4 - 165784*i**3\/3 + 16968*i**2 + 663104*i\/3 = 0.\nAnswer: -13, -2, 0, 2, 6376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20851.999988826 + 20852. Round y to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -847*o**5 + 5181*o**4 - 10132*o**3 + 7308*o**2 - 2080*o + 192 = 0.\nAnswer: 2\/11, 4\/11, 4\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -2 - -1 - ((-11 - -26) + -7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 186133956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 25 + 59 = 0. Suppose -4*b + 16 = 5*n, -z = b - 6*n + n. Is -2*b\/((-6)\/(-21)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103334 (base 5) to base 16.\nAnswer: e0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*sqrt(5) + -1.\nAnswer: -1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3335593 millilitres to litres.\nAnswer: 0.0003335593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.3 (b) 66 (c) 2\/5 (d) 3\/5 (e) 1\/3 (f) -0.3 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 8. Let r(h) = 11*h + 1 - 10*h + l. Calculate r(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -974 = -11*h + 302. Let b = 130 - h. Solve -b + 4 = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 7:46 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 95 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 140838395 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 5*h + 12. Let s(n) = -6*n**2 + 25*n + 61. Let r(k) = 11*l(k) - 2*s(k). Let v be r(-6). Solve v = 4*i - 0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by -2086.\nAnswer: 67\/2086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 193 - 188. Determine h so that 5*h**2 - 10*h**2 - 5*h + 10*h**2 - o*h**3 + 5*h**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 4:21 AM?\nAnswer: 659","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 22\/15 of a minute in milliseconds?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o. Let i be m(1). Suppose j = i + 3. Solve a - j*y = -a + 10, -2*a = y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 6*w - 2. Let b be v(7). Let j = -16 + -7. Let q = j - -38. Solve -b*u + 10 = -q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3201341 and 3718.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/15)\/((-12)\/(-40)). Let h = 0.2 - -0.2. What is the nearest to -1 in w, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27363*k + 27312*k - 102 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 f when four letters picked without replacement from fbffffffbffffffbbb.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 12032*u**2 + 7269*u**2 - 19301*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 n when three letters picked without replacement from vvnnvnnvvnnvvnnn?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 7*r**3\/3 - 29. Let m(i) = -i**2. What is n(m(y))?\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 134187 <= 134187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5069 or 5058?\nAnswer: 5069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 741518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 561366 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 946, -776, -2496, -4214?\nAnswer: -5930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3885 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 308599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022462 to five decimal places.\nAnswer: -0.00225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 580, 644, 708, 772, 836, 900?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o + 25*o - 7631. Suppose 228 + o = 3*l + 4*v, -2*l + 532 = -3*v. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/23 + 106*x**2\/23 - 1632*x\/23 + 5760\/23.\nAnswer: -2*(x - 24)**2*(x - 5)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2384, 2383, 2382, 2381?\nAnswer: 2380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10771 + -2592?\nAnswer: 8179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 - 5.11. Let k be 70\/(-25) + (4 - 1). Which is the closest to 1? (a) 3 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f + 20*f = -16*f - 80 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 2*n - 2*n)*(-2*n**2 + 3*n**2 - 3*n**2)*(-4 - 4 + 6).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5420671 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 396, 377, 334, 267?\n\"Answer: -12*f**2 + 17*f + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 22*c - 1404. What is the remainder when 106 is divided by c?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 9*i + 3*b - 25 = 0, 5 = b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 34*r - 38. Suppose 41 = 2*c - i, 20 - 16 = 4*i. What are the prime factors of m(c)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31c (base 13) in base 15?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26927 or 403894\/15?\nAnswer: 403894\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/9 (b) -4 (c) -6\/239 (d) 5 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 208\/10 - (-16)\/(-20). Find the common denominator of 42\/(-35)*m\/9 and -109\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 + 3*g + 4. Let j be x(5). Let u = -30 - j. Let f = 472 - 31622\/67. Is f equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22 - -5)*(-4)\/(-3). What is the common denominator of (-1 - (-82)\/s) + 2 and -9\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 273447\/4112 + 1\/4112. Let k = b - 66. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/2451264 and 65\/112.\nAnswer: 17158848","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 153533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 3:55 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + sqrt(56)\/sqrt(2) + 1 + -3*sqrt(567)*-1.\nAnswer: 1 + 31*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -89aa6 + 3?\nAnswer: -89aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152*t**3 + 2 - 64*t**3 - 3)*(-2*t**2 - 4*t**2 + 5*t**2) + t**5 + 0*t**5 + 0*t**5.\nAnswer: -87*t**5 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 9:58 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 3*x - 488, 3*x - 2*x - 396 = -4*n. Differentiate -58*d + 39*d - 75 + 54*d + n*d wrt d.\nAnswer: 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16138 and 30161 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 9 = 2*w - 37, -2468*w + 2472*w + 40 = -2*k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.32 not equal to 1\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15295)\/1330)\/((-69)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-3) + 29 + -2. Let u = -42 + z. What are the prime factors of (-111)\/u - (-6)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 2:32 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**6 - 11305524*l**5*p**3 + 46327*l**2 - 134*l*p**3 - p**3 wrt l?\nAnswer: 360*l**3 - 678331440*l**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*c + 1 = -2*f, 0 = 3*f - 5*c + 54. Let d(x) = -3*x + 5. Calculate the remainder when (-14964)\/(-172) + (-1)\/(2\/4) is divided by d(f).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-3623.\nAnswer: -724.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1620 - 5?\nAnswer: -1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 15336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2 + 0 + p**2 + 0*p**3 + p**3 - 2*p. Let v(c) = -c**3 - 4*c**2 - 2*c - 6. Let k be v(-4). Calculate the remainder when 28 is divided by a(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174 by 1088199.\nAnswer: 58\/362733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*t - 198 = 0, k + 4*t = -2*k - 294. Let m = k + 107. Which is the closest to 7? (a) m (b) 3\/8 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 106 = 3*x, 0*x + 4*x - 120 = -b. Let z be b\/(-6)*30\/(-8). Suppose 3*f - 167 - z = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 229127138 to the nearest 10000.\nAnswer: 229130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-100)\/(-85))\/20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -118\/5 (b) 1 (c) -4\/23 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1937.958 months?\nAnswer: 16.14965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 256125 and -262546531?\nAnswer: 262802656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/495*(-40)\/(-4)*264\/(-24)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 + 5188442*s + 10376876 = 0. Calculate s.\nAnswer: -2594219, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*q + 710, -155 = -4*a + 2*q - 705. Let c = 207 + a. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuooohoo. Give prob of picking 2 u.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 7*y**3\/3 + y**2 + 10. Is q(-6) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 50 = 34. Suppose 3*y - 186 = 3*d, 3*d - f = -4. Calculate the remainder when 248 is divided by y.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -68*y - 76. Let s(z) = -102*z - 120. Determine 11*j(c) - 7*s(c).\nAnswer: -34*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 37*c**3 + 10*c - 3. Let k(j) = j**3 - j + 1. Calculate -6*k(u) - w(u).\nAnswer: -43*u**3 - 4*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-66)\/(-18))\/((-2)\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 5*x + 3*x - 2*x + 2 + 0 + 3*x**2. Let r be c(2). Let b = r - -11. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 979*n - 71198. Give g(68).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 6*l**2 + 5*l + 27. Let p be k(-7). Solve -p = 8*c - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2. Let n be v(-1). Let q(w) = 32*w**2 + 3*w - 3. Is q(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 177 + -167. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6000 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 255*s**3 - 2*s**2 + 23*s - 73. What are the prime factors of m(5)?\nAnswer: 11, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 28, 126, 2, -3, 398.1, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, 16, 28, 40, 52, 64?\n\"Answer: 12*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a**5 + 40*a**4 - 25*a**3 - 30*a**2 = 0. What is a?\nAnswer: -3, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -113412*v**3 - 12*v + 20. Let q be p(2). Round q to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 5*z = -7, -407 + 397 = 2*t + 4*z for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.2, 5\/2, 1.1, 5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27 - 0.733\nAnswer: -27.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 2*b - 17. Let w be o(-4). Suppose -67 = -4*h - w. Let z(i) = i + 2. Let p be z(0). Solve p*t + h = -5*k, 2*k + 8 = 5*t - 27 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 9937382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.153 and 0.2?\nAnswer: 0.0306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*q = -169*q + 5882204. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -643464 by 9.\nAnswer: -71496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 204.02 + -204. What is the second biggest value in a, 3\/2, 0.4, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - d - 5*d)*(1007*d - 2*d**2 - 1007*d - 4)*(13*d - 39*d + 15*d) to the form b*d**2 + o*d**4 + g*d**3 + u*d + p and give b.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 4*z + 3. Let s be r(4). Suppose s*u = 5*u - 8. Suppose u*p + 6 = 4*v - 6, -4*v + 2 = p. Is -1 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 > 852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -2. Let o(u) = -14 + w + 7 + 4 + 7*u. List the prime factors of o(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -17*i**3 - 8*i**2 + 72*i + 809. Let x(s) = 16*s**3 + 6*s**2 - 73*s - 811. Let u(g) = 4*x(g) + 3*y(g). Differentiate u(b) with respect to b.\nAnswer: 39*b**2 - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28467310.\nAnswer: 2, 5, 2846731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuwuuwwuwuuw. Give prob of picking 3 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3846 - -3860. Calculate the greatest common divisor of k and 994.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7*u = -36. Let a = 8 - u. Let y be a - (0 - 86) - 1. Calculate the greatest common divisor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+46411\nAnswer: 46410.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*b**2 + 3765*b - 290 = 0. What is b?\nAnswer: -58, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1385*o + 1557*o + 2*y - 590 = 0, 0 = -3*o + y - 28 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -14, -0.01, 8\/9, -1\/6, -3931?\nAnswer: -3931","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 + -4 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1300) + 0)*3 - -1*(-1 + sqrt(1300)) - ((sqrt(1300) + sqrt(1300)*1)*-5 + 4)))**2.\nAnswer: -1400*sqrt(13) + 254825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 1:31 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -975? (a) -1 (b) -2\/3 (c) 11 (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-5)*120\/(-4200)*(-200)\/(-8)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**3*y**2 - 24*s**2 - 93*s*y**2 + 2241*y**2 + 16 with respect to s.\nAnswer: -3*s**2*y**2 - 48*s - 93*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u**2 - 2 + 2 + (-2 - 2 + 3)*(u**2 + 2*u**2 - 5*u**2))*(-1 - 1 + 4)*(-2*u - u - 2*u) as d*u**2 + i*u**3 + b + s*u and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -48*z**2 + 5*z - 35. Let r(p) = -17*p**2 + 2*p - 12. Let f(u) = -6*a(u) + 17*r(u). Calculate f(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48416405 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, w: 1, r: 1, t: 7, c: 2, g: 2}. Give prob of picking 1 t and 3 n.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3268451\/1158 - -5645\/2. Which is the nearest to j? (a) 8 (b) -0.2 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n**2 + 6*n + 11. Let f(c) = -18*c**2 - 10*c - 23. Let z(s) = 6*f(s) + 13*y(s). Let w be z(-3). What is the highest common factor of w and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -37*v + 362. Let s(k) = 36*k - 3. Let j be s(3). Let p = j - -62. Calculate the remainder when p 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 225?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5600401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -12. Let c = 1018263991.00000013 + -1018263981. Let v = r - c. Round v to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -5\/6, -4, -1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(891))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -7229743?\nAnswer: 5\/7229743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2456 - -108?\nAnswer: 2562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/85589 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20072551 or -20072553?\nAnswer: -20072553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.5, 2\/3, -2\/15, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -22, -3\/2 in increasing order.\nAnswer: -22, -3\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220202 - -1001?\nAnswer: 221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1935041 and 4527?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -314154 or -314155?\nAnswer: -314154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667651755?\nAnswer: 3, 5, 43, 479, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 330817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12521.\nAnswer: 19, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02820974 to 3 dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1865.553 - 0.447. Let o = c - -1866.0823. What is o rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26551 less than 26596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 13*n**2 + 12*n - 16. Let y be w(-14). Let s be 1\/(1 - y\/15). Solve -5*a + 0 - 1 = -3*g, -s*g = -10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27310 and 73690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*s + 5*s + s)*(0*s - 4*s + 6*s) + (-2*s**2 - 4*s**2 - 8*s**2)*(-1 + 0 - 1))*(2*s**3 - s**3 + 2*s**3).\nAnswer: 90*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - 12734?\nAnswer: -12725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, a: 13}. Give prob of sequence ad.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -861.2785 to one decimal place.\nAnswer: -861.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 - (1 + 2 - (19 + -15))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and (-190)\/((8\/(-8))\/(3\/3))?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 13*b + b + (-6 + 2 - 2*b + 4*b)*(-1 - 2 + 4) in the form r + t*b and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81479784?\nAnswer: 2, 3, 293, 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 + 225 = -69*a. Sort -4, 5, 14, a in ascending order.\nAnswer: a, -4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - x - 1. Let d(p) = -2*p + 2. Let y(o) = -4*o + 4. Let v(h) = 7*d(h) - 4*y(h). Let i be ((2\/(-5))\/(2\/20))\/(-4). What is i*v(m) + k(m)?\nAnswer: -m**3 + m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 0 + 1\/12*v**4 + 0*v**3 + 11*v**2 - 1\/15*v**5 - 1\/20*v**6 + 0*v. Factor g(m).\nAnswer: -2*m*(m + 1)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w - w + w)*(6 + 0 - 2) + 8*w - 6*w - 4 - 4*w to the form i + u*w and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7 + 5 = 0. Suppose -3*w + 96 = 2*f, -4*f = s*w - 12 - 84. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3726557*p**2*q**3 + 2*p**2*q**2 - 78*p**2 - 2*p*q**2 - 89*q wrt q?\nAnswer: 22359342*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 15, -5*k + 23 = 3*g - 12. Suppose -4*z = -0 - g. Suppose 5*w + 17 = l, -l + z = -0*w - w. Solve 2*q + 4 = -l*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61900 times -88.6\nAnswer: 5484340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*j**4 - 28*j**2*v**3 + 8*j*v - 2*v**3 - 738*v**2 + 2*v wrt j?\nAnswer: 36*j**3 - 56*j*v**3 + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4372*a**2*h**2*m**3 - 2*a*h**2*m**3 - 2*a*h**2*m**2 + 8*a*h**2 - 19*a*m**2 + 2*h wrt a.\nAnswer: 8744*h**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1701.33 - 1183.42. Round b to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) 0.2 (c) 4 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*l**2 - 19 + 19)*(-l + 0*l + 6*l) + (3*l - l - 4*l)*(0*l**2 + 3*l**2 + 0*l**2) + 103*l + 5*l**3 - 103*l to t*l + a*l**3 + n*l**2 + x and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h + 1. Let a be (-180)\/(-200) - (-2)\/20. What is i(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27862?\nAnswer: 2, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50522.\nAnswer: 2, 25261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 21*t**2 + 8*t + 8. Does 22 divide s(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 395120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2)*f*f)\/f**(-4))\/(((f*f\/f**(-3\/4))\/f*f)\/(f**4\/f)) assuming f is positive.\nAnswer: f**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005236941 rounded to seven dps?\nAnswer: 0.0000524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y**4 + y)*(5 + 3 - 2).\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) -4 (c) 59.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32239331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3 = 31*i - 31*i, -6*b + 6 = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4911709.8 * -0.2.\nAnswer: -982341.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/58)\/((-12)\/(-456)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*t**5 - 6*t**4 - 232*t wrt t.\nAnswer: -500*t**3 - 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32747955?\nAnswer: 3, 5, 47, 46451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - z - 40, 3*a + 2*z - 96 = -z. Let m be a\/(-30) - (-1)\/5. Let g(d) = 9*d + 1. What is g(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3 - 4*d - 1 + 5*d + 5. Let r be x(-6). Let q = 113.2 - 112. Sort r, q, 4.\nAnswer: r, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 19 = -7, -2*f + 5*u = -21. Suppose 3*p - 6*p = -f. Let n = p - -6. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -214*d**2*v**3 + 41*d**2 - 2*d*v**4 + 7*v wrt v.\nAnswer: -1284*d**2*v - 24*d*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-91)\/77 + (2 - 1). Is r bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*f - i, 6*f - f + 10 = -5*i. Suppose f*s + 3 = 5*t, 5*s - 20 = -4*t + 3*s. Put -5, 1, -1, t in ascending order.\nAnswer: -5, -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163188 by -4.\nAnswer: 40797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.07, 1\/12, 7 in decreasing order.\nAnswer: 7, 1\/12, -0.07, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91147 + -35647. Round w to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-230)\/(-15))\/(-1 + (-2620)\/(-2610)). Calculate the highest common factor of s and 552.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 7608 + 1239 = 3*z, j = 2*z - 5898. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4, -3*t + 3*d = -136469 - 176254. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3091817 or -3091871?\nAnswer: -3091871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12439 + 21240. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241622 to the power of 1\/2, to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, s: 1}. Give prob of sequence fff.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 3*l - 2. Let r(h) be the first derivative of h**4\/4 - 4*h**3\/3 - 2*h**2 + 8*h - 6. Let a be r(4). Let w be 4\/(-6) + a\/6. Calculate j(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 571 or 574?\nAnswer: 574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337746569.\nAnswer: 61, 5536829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.1 + -11. What is the nearest to -2 in -2\/9, 0.5, o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84.86 - -1.86. Let z = 83.0000355 + l. What is z rounded to six dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 2\/3 (c) -12.1 (d) -20 (e) 4 (f) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-1\/8)*n*n*n**(10\/9)*n*n*(n*n**(-4\/7))\/n*n\/n**11 assuming n is positive.\nAnswer: n**(-2185\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/7000 and -11\/805700.\nAnswer: 8057000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2875 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 - 267*s**4 + 3948*s**3 - 3132*s**2 - 7344*s = 0 for s.\nAnswer: -102, -1, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + -4)*(-17 - -19). Let x(h) = -h**2 - 7*h - 6. Let t be x(-5). Let o be ((-27)\/(-6) - t)*6. Solve z*w + o = 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 62*p - 63*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -124, -109, -78, -25, 56, 171?\n\"Answer: t**3 + 2*t**2 + 2*t - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 785318 minus -6?\nAnswer: 785324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-7)\/3 - 2 - (-1926338)\/3207. What is the greatest common factor of y and 1725?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f + 2*f - f + (-2 - 4 + 5)*(2*f - 4*f + 11*f) to j + m*f and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4605487?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429\/468 - 1\/1.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.002? (a) -5 (b) -24 (c) -3 (d) 146 (e) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 7:24 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**2 + j - 4. Let g(m) = -4*m**2 - m + 3. What is 4*g(r) + 3*x(r)?\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2031 - -12?\nAnswer: 2043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99 + 98. Which is the nearest to 0? (a) 2\/7 (b) q (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.74592 millilitres in litres?\nAnswer: 0.01774592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o - 52*o + 11020 = 0. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -42 - (8 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a factor of 2847546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1232111220201 - 0?\nAnswer: -1232111220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101401 - 1213332?\nAnswer: -1320233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 + 21)*(0*r + r + r)*(-3 - 5 + 2) in the form f*r + c and give f.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 7*q - 2*w - 7 = 0, -2*q = 2*w - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -195515*i - 2150649. What is c(-11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u - 2 = 0. Let q(k) be the second derivative of -k**4\/4 - k**2\/2 - 17*k + 4. What is q(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -24 (b) -1\/11 (c) -4 (d) 12 (e) -2 (f) -3.52 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/17, 5, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = 9. Suppose 22 = z*r + 2*s, 15 = 2*s + s. Sort -5, -8, r in descending order.\nAnswer: r, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 4. Let y be 6\/33 - (-598)\/(-22). Let d = 80\/3 + y. What is the nearest to d in 3, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0 + 3. Let r = j - -8. Calculate the highest common divisor of 45 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -m - 16, -6*m = o - 3*m - 12. Suppose -2 = -2*j + 8. Calculate the highest common factor of o and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698052919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/6)\/((3 + -6)\/(-1233)). Suppose j - p = 5*o, -2*j + 6*o - 8*o = -1370. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-5 + 6 - -9) + -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*h**2*w**2 + 4*h**2*w + 5*h**2 + 9*h*w**3 + 48*h + 20*w**2 wrt w.\nAnswer: -16*h**2 + 54*h*w + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 75. Suppose 9*o - 27 = -0*o. Suppose 5*k = 4*y - 7*y, 3*y - o*k = d. Which is greater: 6 or y?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 3, o: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 - 2618*u**2 - 6*u**3 + 5229*u**2 - 2614*u**2 - u**3.\nAnswer: -4*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/5 (b) 685 (c) 1 (d) 4 (e) 0 (f) 14 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(27\/(-2))*41139\/(-31997).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 778 * -5347.12\nAnswer: -4160059.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -79*p + 6. Let x(j) = 33*j - 2. Let r(u) = 3*w(u) + 7*x(u). Let z = 9 + -14. What is r(z)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**3\/7 + 4518*t**2\/7 - 45030*t\/7 + 112450\/7 = 0.\nAnswer: 5, 2249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Let i = 262.2 + -266.2. What is the third smallest value in -0.6, i, j, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j + 9*j - 12 + 27. Let w be s(-7). Let i = -17 - w. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 3:14 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 10:51 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2. Let n(z) be the second derivative of z**2\/2 + 2*z. Let u(h) = 4*h**2 + 16. Let j(p) = 16*n(p) - u(p). What is i(j(a))?\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/(6*2\/4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 698251229 to the nearest integer?\nAnswer: 26424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 58723 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 136?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.895 + 1560\nAnswer: 1559.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 1:30 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -209641\/5 - -41928. Suppose 0 = -4*q - q - 5. Which is the third smallest value? (a) k (b) 145 (c) -1\/4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oob when three letters picked without replacement from {o: 2, b: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**2 - 15*p**2 + 15*p - 14*p - p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 744711\/28 - 26600. Calculate the common denominator of -119\/20 and r.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 5*p**2 - 8*p - 7. Let s(a) = a**3 + 16*a**2 + 14*a - 21. Let i be 43\/(-3) - 8\/12. Let u be s(i). Determine q(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6204827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*t**3 - 77*t**2?\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsl when three letters picked without replacement from {s: 1, n: 1, l: 2, w: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 - 10*v**2 + 478633*v - 10*v**2 - 478632*v + 6*v**2 in the form f + i*v**2 + k*v and give f.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 113279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 0, 5, 341 in increasing order.\nAnswer: 0, 5, 82, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 56 (b) -4 (c) -179 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3804810533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 171147*z. Let s(c) = 32*c - 1. Calculate u(s(k)).\nAnswer: 5476704*k - 171147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 + 0*q**4 - 2*q**5 + (3*q**2 + q**2 - q**2)*(0*q**3 - 2*q**3 + q**3) + 5*q**5 + 0*q**5 + 4 - 7*q**5.\nAnswer: -7*q**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - 8) + 3*1. Suppose 2*m + 5*w - 2*w = -48, -j*m = 4*w + 74. What is m rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoooooozzzazo. Give prob of picking 1 o and 1 a.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*f + 10196 = -930 + 1051 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 47691*x**2. Let k(s) = 25*s**2. Calculate z(k(r)).\nAnswer: 29806875*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2497937330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 77183 (base 9) to base 6\nAnswer: 1032550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6820 divided by -682.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 203 * 46.34\nAnswer: 9407.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -928151 divided by 6?\nAnswer: -928151\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*r, -2*m + 4*r = -0*r + 60. Let v be ((-6)\/4)\/(15\/m). Let g(z) = 2 + z - v. Let l(d) = d**2. Give g(l(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11126 + 11113.906. Round l to 1 decimal place.\nAnswer: -12.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 9, -5, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 = 0, -23*c + 22*c + n - 24 = 0. Let z be (-1)\/(-3) + c\/15. Do z and 4\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -1\/4*r**4 + 0 + 0*r**3 + 9*r + 3\/2*r**2. Find the first derivative of y(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 + -11 + (13 - (-10 - (-26 + 12)))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + sqrt(5)*-1 - (-5 + (sqrt(15)\/sqrt(3))**2 + 5*(sqrt(45))**2))*-5.\nAnswer: 5*sqrt(5) + 1120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163\/91 - -27\/13. What is the nearest to o in -2, -14, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 6.9, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/15)\/(38\/(-190)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 50*y**2 + 9179*y + 5298. Determine v(-183).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -10. Let b = 9 + -9. Let n be (b - 0)*(-4)\/8. Solve n*y + 5*y = -w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4*8\/14)\/(-2))\/((-767)\/(-10738)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 2*x + 0 + 0*x**2 + 0*x**4 - 3\/20*x**5 + 1\/3*x**3. Find the second derivative of c(o) wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70067\/5 - -14013. What is the nearest to 22 in -6\/7, -5\/6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 182, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112963489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 9*g**2 + 9*g - 8. Let j = 20 + -12. Let b be u(j). Solve 4*v - 4*m - 24 = b, -2*v - 18 = 5*m - m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7214 is divided by 268?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, r: 6, v: 3, j: 2}. What is prob of picking 1 c and 3 v?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1216) + -5 + sqrt(38)\/sqrt(2).\nAnswer: -7*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*g + w = 46*g - 3, g + 3*w - 1 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 430, -3, -4, -3.5, 3, -2\/11, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - 1477 + 734 - u**2 + 731 - 5*u to the form k*u + x + g*u**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/b**(-2\/27)))*b)**(-2\/31)*(b**7\/b)**12)**15 assuming b is positive.\nAnswer: b**(300760\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*h - 52067 + 51731 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -115587.\nAnswer: -5\/115587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*j - 15844, -3*f + 4831 = j + 877. Suppose 11*k = 13*k - j. Suppose -13*w + w = -k. What are the prime factors of w?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/5*3410\/124)\/(-6). What is the smallest value in 1, w, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 860.131 to zero decimal places.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 - 75 - 2*g - 79.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 0 + 0*s + 0*s**3 - 13\/24*s**4 - 21*s**2. Let u(b) = b**2. What is g(u(v))?\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -11, -223\/3, -3, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2028513 to the nearest integer?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00044017312 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 24 - 35*b.\nAnswer: -35*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53646, 53824, 54070, 54378, 54742, 55156, 55614?\n\"Answer: -r**3 + 40*r**2 + 65*r + 53542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(sqrt(300) + (-1*sqrt(300))**2).\nAnswer: 30*sqrt(3) + 897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2399*h**3*y + h**2 - y - 16 wrt h?\nAnswer: 14394*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 112*s**3 + 2*s**2 + s + 4. Is l(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8*i - 4395 = 5*r, 0 = 4*r - 16. Let h = i - 572. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*w - 10 = -1, u - w - 22 = 0. Solve 1 = v - r, -5*v + r + u = -r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -13180?\nAnswer: 1\/6590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -2000234?\nAnswer: -2000234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t**2 - 134*t + 111. Calculate x(21).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3493.323819 to one decimal place.\nAnswer: -3493.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2833 or 5665\/2?\nAnswer: 5665\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -853 = -2*v + 4*y - 803, 0*v - 5*y - 40 = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 11 - 5)*(2*t - t**2 - 2*t)*(2*t + 0*t + 0*t) to b + z*t + s*t**2 + p*t**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-1*4 - ((1 + sqrt(425) + sqrt(425))*-4 - sqrt(425)))**2.\nAnswer: 200*sqrt(17) + 10641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.21 + -9.21. Let s = 0.448 - -0.052. What is the third biggest value in -1\/2, 4, s, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**5 - 61*t**4 + 1217*t**3 - 6*t**2 - 2*t + 467 wrt t.\nAnswer: -60*t**2 - 1464*t + 7302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/4)\/9)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x + 14*x - 5 - 8 - 27 + 5 to h*x + n and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2403, 2405, 2407?\n\"Answer: 2*z + 2401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5*(-65)\/26)\/((-1)\/(-62))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, u: 2, l: 9, o: 1}. What is prob of picking 1 o, 1 z, and 1 u?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7749, 4921, 2095, -735, -3575, -6431?\nAnswer: -9309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 2*i**2 + i**2)*(-3 + 3 + 5) + 3*i**2 + 173*i - 347*i + 171*i - 2.\nAnswer: 18*i**2 - 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5889.53 + -5862. What is n rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 382*a**2 - 24180*a + 1602. Determine m(80).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 50, -3463 = 3*n + n - 3*k - 3437 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/5 (b) -65834 (c) 3 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (19 + 2)) + (3073 - 2997)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2809*n**4\/4 + 10971*n**3\/4 + 8473*n**2\/4 - 10395*n\/4 - 5929\/2 = 0.\nAnswer: -2, -77\/53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e442 - 393?\nAnswer: -1e7d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3330609 rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.7 take away 0.3?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 6. Let b be 14\/7*1\/t. Let m be (-7)\/(21\/(-18)) + b. Solve m*w - 5 = -15 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-1 + (-3 - -7))) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(648) + sqrt(648) + -1*sqrt(648) + sqrt(648)) - ((0 + sqrt(11))*-3 - sqrt(11))*3.\nAnswer: 217*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(4\/(-1) - -2). Suppose 23*l - 25*l + 4 = w. Put 1, l, 8 in ascending order.\nAnswer: 1, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**5 - 5*z**4\/2 - 5*z**3\/3 - 115. Factor m(y).\nAnswer: -5*y**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 30 + (2 - -1). Suppose -2 = 3*y - a. Is y\/(-15)*(-903)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -193.53 + 195. Let r = -0.87 + h. Which is smaller: 5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-12) - (-1)\/(-1). Suppose 2*d - 6 = -d. What is the closest to d in u, -5, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 + -2.93. Let u = -0.272 + 0.072. What is the closest to w in u, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -210.93.\nAnswer: -2.1093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.97. Let f = -0.14 - s. Let w = -0.11 - f. Is w at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 82?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x = 24*x - 488. Suppose -3*i - 56 = -2*n - i, 84 = 3*n - 2*i. Solve x*g - n = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -236028 - -236030. Let n(t) be the first derivative of -2*t**2 + 3*t - 1. What is n(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**5\/7 + 4240*i**4\/7 + 47036*i**3\/7 + 94488*i**2\/7 - 256752*i\/7 - 44064 = 0.\nAnswer: -6, -1, 2, 1071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 12:34 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4419514 = 326486. What is y rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {s: 2, w: 3, y: 12}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -428*j**3*n**2 - 28*j*n**2 - 2*j + 4*n**2 wrt j.\nAnswer: -2568*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v**3 + 5*v**2 - 3. Let o be j(-1). Let n = 137 + -55. Let q be 18\/(-90) + n\/o. Solve 2*i - 2*k + 0 = -12, 2*k = i + q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 19*m + 37. Let h be p(8). Suppose 0 = 3*y + h*y - 96. Calculate the lowest common multiple of 135 and y.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 - 2632*u - 100122 = 0. What is u?\nAnswer: -37, 1353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*a - a + 3130593 = 220158. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, 1, 0, -1, 568 in ascending order.\nAnswer: -1, 0, 1, 2, 15, 568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1706, -1611, -1460, -1259, -1014, -731, -416, -75?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174033 is divided by 78?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 45*x**3 - 39*x**2 + 104*x**3.\nAnswer: 59*x**3 - 39*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 382, 574?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 30. Let q(b) = m*b - 9*b - 3*b. Let y(w) = 17*w. Let d(j) = -630*j. Let o(u) = 2*d(u) + 75*y(u). What is q(o(c))?\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45608005?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -350, 1\/3, -6, 0.3 in decreasing order.\nAnswer: 1\/3, 0.3, -6, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12009377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.4 (b) 212.4 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -100, -169, -260, -379, -532?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:55 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/14 and -46\/2913603.\nAnswer: 5827206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*d = 21, -4*d - 75 = -4*l - 5*d. Calculate the highest common divisor of 1458 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*w + 2, -3*w + 26 = 2*d + 3*d. Let t be 28\/21*(-1 + d). Let y be (-6)\/t + (-210)\/(-20). Solve -4*r + y = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/((-6)\/3) - -56. Let x = 4 - 2. Suppose z = -x*z + 2*a + 30, 3*a + 50 = 5*z. What is the highest common factor of z and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + 102799?\nAnswer: 1027b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.3 + -7. Let t = 0.6 + m. Which is the closest to t? (a) -2\/5 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 31892, 63838, 95784, 127730, 159676?\n\"Answer: 31946*g - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2471 and 203141969.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 335.15 rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkkk when four letters picked without replacement from klrrkkkklkk?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n\/(n*n*(n*n**(24\/5)\/n*n)\/n*n))*n))\/(n**(3\/26)*n))**(7\/9) assuming n is positive.\nAnswer: n**(-9023\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 15. Suppose -a*d + 8*d + 12 = 0. What is the common denominator of 2*d*(-14)\/189 and 131\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11777819*v + 11777819*v - 121*v**2.\nAnswer: -121*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 12*c + 3. Let q be m(5). Is 272 - (3 + q + 5 + -2) a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343, 577, 811, 1045?\nAnswer: 1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -775, -1548, -2321, -3094?\nAnswer: -3867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.0375, 6 in ascending order.\nAnswer: -1, 0.0375, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.123005 to 2 dps.\nAnswer: -1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.828689um in millimeters?\nAnswer: 0.003828689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3 = 0, -100*c + 101*c - 17 = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130192 and 21424?\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (-1 + sqrt(288))*-2 - (sqrt(288)*2 + -4))**2.\nAnswer: 48*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**3 + 1 - 1)*(-12 + 10 - 4*o - o) as z*o + g + d*o**3 + x*o**4 + w*o**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.8280049 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24487998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p. Let s(i) be the third derivative of -1\/12*i**4 - 10*i**2 + 0*i**3 + 0*i + 0. Determine w(s(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 - 6.6. Which is the closest to 0? (a) -0.09 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 = -4*n - 4*t + 4241, 5*n - 5*t = 4750. Calculate the greatest common factor of n and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -u - 31, 5*u + 1 = -2*j + 8. Suppose -q = -4*q + j. Let p(s) = s**2 + 6*s + 5. Let n be p(-6). What is the greatest common divisor of q and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1457*a + 4368 - 4368 - 434*a to the form c + j*a and give j.\nAnswer: -1891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -716, -712, -706, -698, -688?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -2)*(0 - 1). Let d(y) be the second derivative of -y**4\/12 + y**3\/3 + 57*y. Let l be d(n). Solve k + 0*k - 3 = l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*p + 5 = -3*p, -5*p = -4*t - 5. Suppose 4*x = 26 + 18. Suppose 0 = -3*o + x + 4. Solve -25 = t*l - o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1)*(-16)\/32?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*l = 22, 3*l + 3 = 15. Let y(k) = -3*k**3 - k + 0*k**3 + 0*k + 4*k**3. Let o(d) = -2*d**3 + 5*d. Give z*y(n) + o(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*x - 643, -2*x - 2*r + 259 = -3*r. Let l = x - 78. Suppose 3*u + 3*p - l = -17, 0 = -2*u - 3*p + 29. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289788 is divided by 26344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 47 - 40 + 1072*j - 1063*j. Let r(w) = w + 1. Let t be 5 - 6 - (1 + -1). Give t*n(x) + 6*r(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0623439 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3006 is divided by (-10)\/(-100)*(452 + 18)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, g: 7}. What is prob of sequence bb?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-20))\/(56\/(-11860)). Let w = -190\/21 - d. Find the common denominator of w and ((-214)\/6)\/((-40)\/(-12)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*w - 5*r, -2*r + 4 = -2. Suppose w = 2*o - 81 + 25. Solve -7*m + 4*m - 16 = a, -4*m - o = 3*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 971521542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, k: 4, u: 1, o: 2, p: 1}. What is prob of sequence ui?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97 + -95. Suppose 5*u + 385 = o*f, -4*f + 4*u = f - 988. What is the smallest common multiple of f and 20?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-23)\/10)\/(462\/(-132))*13\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v. Let b(z) = 1049*z. What is b(y(u))?\nAnswer: 1049*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -65615 (base 12) in base 13?\nAnswer: -48c6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2920, -3, 2, 3\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -8. Suppose 0 = 4*k - 5*u - 51, 5*k - 2*u = -a*u + 100. Suppose -l + 4*c + 28 = 0, -c = l - 2*c - k. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 19 = -4*l, 3*l = -1244*b + 1249*b - 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030153 to seven decimal places.\nAnswer: -0.0000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/80 + 5*m**4\/16 + 119*m**3\/8 + 4*m**2 + 17. Let z(h) = 0. What is h?\nAnswer: -7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1893\/8? (a) 0 (b) -6 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -60, 0.1, -2\/20075, -2.3, -0.2?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 6*c**2 + c + 5. Let x be h(-6). What are the prime factors of (-8)\/(16\/13)*(-81 + x)?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*c = 3, -2 = -2*x - 3*c + 4. Suppose 3 = -z + 7, h - 2*z + 4 = 0. What is the third derivative of -y**3 - 5*y**x - 2*y**2 + h*y**3 wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/5 - 216*r - 55404\/5 = 0. What is r?\nAnswer: -1026, -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110 (base 2) in base 14?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 961278371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 63.45948 hours?\nAnswer: 2.644145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 5*w**2 + w - 3. Let a be b(5). Suppose 0 = y - a*y - 5*m + 39, 0 = 3*y + 4*m - 73. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 33*c + 22. Let b be j(32). Suppose -2*h + 72 - b = 0. What is the remainder when 88 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 3. Let h(d) = 972*d**2 + 6. What is h(y) + 2*o(y)?\nAnswer: 970*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250704 is divided by 1547?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -2130 = -2130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 10 - 2*r + 0*r**3 + 5*r**2 + 2*r - r. Let y be m(5). Solve -p + y*k - 17 = 0, 3*k + 0 = 3*p + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28126, -32236, -36346, -40456, -44566?\n\"Answer: -4110*h - 24016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 6939941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 17 + 12 = -5*b, 0 = -2*w - b - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880)*-5 + sqrt(550)\/sqrt(40))\/(1*sqrt(125)*-4).\nAnswer: 39*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*w + 74*w + 5604 = 3*x, -w - 2*x + 1871 = 0. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4375*y**3 + 2233*y**3 + 2141*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 10 - 53 = 3*d, -5*a - 3*d = -67. Calculate the smallest common multiple of a and 1451.\nAnswer: 15961","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-98 - 5*u + 98)*(-4 + 9 + 2) + (1 - 5 + 2)*(-u + 1 - 1) to d + y*u and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8619324893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 333112?\nAnswer: 333112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1213 + l + 93 - 254 - 705)*(3*l - 3*l + 8*l**2) as b*l**2 + y*l**3 + s + g*l and give b.\nAnswer: -16632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 35. Suppose -h*n = -7*c + 2*c + 1685, 0 = -2*c + 5*n + 674. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 + 6 - (-4)\/(-26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3)\/(41 - (23 + -7))?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1305, 5105, 11425, 20283, 31697, 45685, 62265?\nAnswer: 81455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*q + 26136, 133*q - 32678 = 128*q + 3*b. List the prime factors of q.\nAnswer: 5, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 48*w - 67. Let g(v) = 3*v**2 - 168*v + 234. Let r(f) = -5*g(f) - 18*q(f). Factor r(n).\nAnswer: 3*(n - 6)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*u - 118, -s + 2*u + 12 = -2*u. What is the remainder when 448 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 39. What is the units digit of 4 + ((-81)\/j)\/((-3)\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 z when four letters picked without replacement from ttztzzzq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -177 - -386. Is o greater than 211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 565918913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 23*r**3 + r**3 + 2*r - 2*r + (2*r - 4*r + 3*r)*(r**2 + r**2 - r**2) + 2 + 2*r**3 - 2 - r**3 + 0*r**2 + 0*r**2.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1645.8 plus -71.21?\nAnswer: -1717.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*n = 1215 - 8038 - 1694. Solve -24*v - n = -23 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*-2*(-3)\/(-12)*7200\/(-24).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -7*t**3\/3 + 4*t. Let j(k) = 2*k**2. Give x(j(h)).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/(-1)*(-18)\/(-10)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2 - 32527*g - 2692852 = 0. What is g?\nAnswer: -32444, -83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*r + 732, 4*r - s - 291 = 2*r. Calculate the highest common factor of 108 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*q + 12 = 73, -3*h + 2*q + 41 = 0. Let f = 73 + -113. Let n = 65 + f. What is the remainder when n is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - t = 0. Suppose -1 - 2 = 3*i. Is t smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 366 - 206. Is g a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 609292, 609317, 609342?\nAnswer: 609367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -832.004 + 832. Which is the closest to p? (a) 2 (b) 2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/4*(-2872)\/2872*(-162)\/11?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/424)\/((-58)\/(-4611))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 959*j = -537*j + 333*j. Suppose 10\/11*t**3 + 8\/11*t**4 + 0*t**2 + 0*t + j - 2\/11*t**5 = 0. Calculate t.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f - 16. Let p(n) = -9*n + 23. Let k(t) = 8*j(t) + 5*p(t). Let h(u) = -u**3 - 23*u**2 - u - 12. Let x be h(-23). Give k(x).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -950 divided by 5?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -729\/710 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/10 + -2)\/(14\/105). Let q be g\/18 - ((-10)\/2)\/15. Solve -2*r + q = 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1052722.448 rounded to the nearest 10000?\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -367*c + 1216. Let z be u(3). Solve 2*i + 4*y + 111 = z, -3*i = 3*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.00099 + -26. Round q to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -11*z**2 + 6*z - 11474841. Let l be y(0). Let p(u) = -3091685*u**2 + u + 3. Let t be p(3). Let m = l + t. What is m rounded to the nearest 1000000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 4:04 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547676 is divided by 1680?\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1962 - 1926. Solve -j = 9*s - 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 - 91.7. Let y = 4 + n. Let p = 2.2 - 2.1. Which is the nearest to 1? (a) y (b) 1\/6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*h - 41*h = 6*c + 39, -15*h - 37 = -c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/(-12))\/(22\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34*(-12)\/(-3774))\/(-2).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/36 - 392\/(-18). Suppose g*m = 27*m + 40. Are m and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12895546 or 12895570?\nAnswer: 12895546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*r + 34 = 4, 0 = 2*r + 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20226509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5\/4 - 11437*r**4\/4 + 16221*r**3 - 20997*r**2 + 7636*r = 0. Calculate r.\nAnswer: -3818, 0, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9981 * 11.\nAnswer: 10.9791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23064 - -23063.8. Let j be (-2)\/(-6) - 6\/(-18). Which is the closest to h? (a) -0.5 (b) -0.2 (c) -2\/3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*f = -3*f - 6, -4*v = f + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -17, -1, 3 in descending order.\nAnswer: 4, 3, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1990118411 and 10?\nAnswer: 19901184110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 + 2*p**2 - p**3 + 8*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3 - 3279*j**2 - 2833947*j - 236001357 = 0 for j.\nAnswer: -1593, -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -6, -53, -52096, 3 in descending order.\nAnswer: 3, 0, -3, -6, -53, -52096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.482178653 rounded to four decimal places?\nAnswer: -0.4822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/25)\/(14\/15))\/((-2400)\/(-6160))?\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -45251, -90211, -135171, -180131, -225091, -270051?\n\"Answer: -44960*k - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3393 is divided by 1130.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2279.883 millennia in decades?\nAnswer: 227988.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-21) + (-64)\/266. Let v = x - -146\/133. Factor 0*l**2 - 4\/7*l + v*l**3 + 2\/7*l**4 - 2\/7.\nAnswer: 2*(l - 1)*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - -26. Let c = 44 - h. Suppose 0*t - 2*t + 6 = 0. Put 10, t, c in increasing order.\nAnswer: c, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 904630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**5 - 51*d**4 - 106387*d**2 - 570*d + 15577 wrt d?\nAnswer: 40*d**3 - 612*d**2 - 212774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 50 + -42 + (0 - 7) - -6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 4, -5, 59637\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3527, -12 in descending order.\nAnswer: -5, -12, -3527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.07058 milligrams in micrograms?\nAnswer: 73070.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 41110345*k**3 - 41110339*k**3 + 0*k**2.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - 5*d**2 + 5*d**2)*(3*d**2 - 4*d**2 - d**2 + (d - d + d)*(-4*d - d - 4*d)).\nAnswer: 11*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*y + 173 = 82 + 70, -m - 4*y - 37 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03062, 55579, -0.4 in increasing order.\nAnswer: -0.4, -0.03062, 55579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 189670*i**5 + 4*i**4 - 2*i**3 - 924*i**2 - i + 632.\nAnswer: 11380200*i**2 + 96*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/3 - 1)*(-96 - -18). Suppose -z - 228 = 2*t. Let a = -142 - t. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2. Let v(h) = 8 + 2*h + 3 - 11. What is v(a(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 278909568 a multiple of 1952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nskrikrrikrirkinr. Give prob of picking 1 n and 1 s.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6023071369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 20, -9*n + 35 = -3*o - 14*n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 3*k**2\/2 - k + 4. What is o(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) 3\/7 (c) 14 (d) 130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1095 + 1106. Calculate the remainder when 161 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-112)\/21)\/(8\/(-12)). Sort 3, n, 5 in ascending order.\nAnswer: 3, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00507319977 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53755\/(-975) + 50 + (32\/15 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7942798 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20359661615 and 0.05.\nAnswer: -20359661614.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**6\/120 + v**5\/4 + 11*v**4\/24 - 10*v**3\/3 - v**2 - 35*v. Does 33 divide j(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*f = 6604, 2*t - 5017 + 609 = -2*f. Is t 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 -3, -19, -47, -93, -163, -263, -399, -577?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 82 = 3*j, 0*x = x - 4*j - 89. Calculate the highest common divisor of x and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370, 1481, 3322, 5887, 9170, 13165, 17866?\nAnswer: 23267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2444 + -2441.7. Sort o, -42, 0.2.\nAnswer: -42, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 13*h - 46 + h - 46.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*7*268\/134.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107571 - 41404. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73500380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -0.3 (c) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 321256 and 25896?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -537212*o**3 + 13*o**2 + o + 1071862 wrt o?\nAnswer: -3223272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 2 + 1 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3452 = 4*u, 884 = u + 5*n - 0. Suppose 19*r - u = 16*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h. Let l(a) = 6*a**2 - 5*a**2 - 8*a**2. Calculate q(l(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*y - 3*c, 0 = -3*y - y - 3*c + 80. Solve -a + 5*a = g + 10, 5*a - y = -4*g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1010*a + 4193 = 35810 + 37063 for a.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 + 603*t + 22. Let u(f) = -3*f**2 + 302*f + 12. Give -6*a(z) + 11*u(z).\nAnswer: -9*z**2 - 296*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 2*u - 5, v - 20 = 5*v - 3*u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 22 = 13*m. Solve -o + m*f = 4*o + 11, o + f = -5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1))\/(w*w*w*(w\/w**(1\/2))\/w*w*w))\/(w*w**6*(w**(-11)\/w)\/w) assuming w is positive.\nAnswer: w**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqqr when four letters picked without replacement from {x: 4, r: 1, t: 1, d: 3, q: 2}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(180)*-5 + sqrt(180) + 0 + 1*sqrt(180) - (-2 + -2 + sqrt(180) + 0))*-5)**2*-3.\nAnswer: -487200 - 21600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*a + 5*a - 5 = 0, -15 = -4*p - 5*a. Let o = p + -4. What is the remainder when 10 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -382278 less than -382278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 196 - (-3 + 1)*1. Let f = 24 - -5. Suppose 10 = x + 2*t, 4*t - 45 = -5*x + f. What is the highest common factor of m and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48\/(-9)*351\/(-12) is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 226 + -221. Solve 0 = -c + l*h + 26, -2*c - 4 = h - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456 (base 7) in base 6?\nAnswer: -2404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 11\/210*m**7 + 0 - 19*m**2 + 0*m + 0*m**3 + 0*m**4 - 13\/60*m**5 + 0*m**6. Find the third derivative of r(a) wrt a.\nAnswer: 264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 - 3*f**2 - 2*f + 4. Give z(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 307 + -249. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9036, -18151, -27314, -36543, -45856, -55271, -64806, -74479?\nAnswer: -84308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.16 - -0.84. Let w = 3.6 + h. What is w rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2 - 8*k. Let i be -9*(-1)\/6*2. Let c(s) = -17*s**2 - 23*s + 1. Let p(t) = i*c(t) - 8*o(t). Find the second derivative of p(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p + 6. Let s be 3\/(-2)*(-32)\/p. Suppose 4 + s = k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3584 divided by -112\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, r: 2, c: 5}. What is prob of sequence rrcc?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 15 = -9*q + 14*q, -2*n - 4*q = 6. Let g(a) = a - 1. Let p(u) = -2*u**2 - 5*u + 4. Calculate n*g(w) - p(w).\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 719486736458 + -2.6?\nAnswer: 719486736455.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -96 + -5?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1964 - 3036 - 1493*q**3 - 967*q**3 - 29258*q**2 + 24600*q - 50*q**4.\nAnswer: -2*(q + 25)**2*(5*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4664242.\nAnswer: 2, 11, 41, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10133*h*k**5 - 1767*h*k**3 - 5*h*k - 231*h + 2*k + 57 wrt k?\nAnswer: -202660*h*k**3 - 10602*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -363 - -16261. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/((-42)\/(-672))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 437096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126646 is divided by 267.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 89256341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394, -398, -402, -406, -410?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -35 + 64 + 113 + -27?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 + 84661*c + 109 - 42309*c - 42348*c.\nAnswer: 4*c + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 - 18*z**2 - 26*z - 4. Let t be q(-11). Suppose -5*c + t = h - 371, 3*c - 672 = -4*h. Suppose 3*w = c + 18. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.3, 2, 47 in descending order.\nAnswer: 47, 2, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29.51 + 0.49. Let s = c + -29.948. Let u = s - 0.052054. Round u to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 559 - 128. Let r = u - 209. Does 28 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = q + 27 - 85, -5*l = 5*q - 135. What is the remainder when (l + -6)*(0 + 2) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 36\/131, -28, -10 in ascending order.\nAnswer: -28, -10, 36\/131, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 603151454\/61 + -297642728376\/30073. Let o = -9612 - i. Which is the closest to -1\/2? (a) -3 (b) o (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*z + 5*z + 743, -5*t + 3619 = -z. Suppose -t = x - 2161. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.08 or -275?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 55944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 0)*((-126)\/7 + 9) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 10387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -67992, -135767, -203530, -271281, -339020, -406747, -474462?\n\"Answer: 6*y**2 - 67793*y - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/33)\/((-90040)\/6000 - -15)\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - v**3 + 4 + (-4*v + 4*v - v)*(-v**2 - 4*v**2 + 4*v**2) - 142*v**3 - 66*v**3 - 175*v**3.\nAnswer: -383*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.46 * -57.056.\nAnswer: 26.24576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**5 - 86*l**4 - 24*l**3 - 3*l - 65.\nAnswer: 20*l**3 - 1032*l**2 - 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94614143, -378456578, -851527305, -1513826324, -2365353635?\nAnswer: -3406109238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a45 + 0?\nAnswer: -2a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6}. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -91*i**2 + 3*i + 57. Let w be s(-10). Let o = 326555\/36 + w. Find the common denominator of o and (-196)\/(-8)*2\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2937 + 6141 + 1629 = -668*z + 2691 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*z**3 + 17*z + 7*z - 65*z**2 + 10 - 46*z**3 + 11*z = 0 for z.\nAnswer: -1, -2\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(30)\/sqrt(6)) + 2 - (sqrt(19) - (-1 + sqrt(19))*2 - (sqrt(684) - (-1 + sqrt(684))))**2) + 2.\nAnswer: -16 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrr. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 - 47916*m**2 + 47916*m**2.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c - 108*c = 340 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**2 + 1569*l - 2*l**3 - 3*l**2 - 74153*l.\nAnswer: -2*l**3 + 8*l**2 - 72584*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-23)\/(-5) - (-48)\/120 - 7. Let s = 0.08 + -0.08. Let k = s - -0.1. What is the biggest value in k, -5, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/3))**29\/(r**13\/(r**(-2\/17)*r)) assuming r is positive.\nAnswer: r**(-125\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2876 is divided by 931?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4480, -8955, -13430, -17905, -22380, -26855?\nAnswer: -31330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 26 = -13*q + 14*q, 3*q - 2*j - 102 = 0. Put q, 1\/6, 2\/15, 0.5 in decreasing order.\nAnswer: q, 0.5, 1\/6, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 5:17 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 20126286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**2 + 76*d + 82. Let x(q) = 7*q**2 + 91*q + 78. What is 6*w(c) - 5*x(c)?\nAnswer: c**2 + c + 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1606)\/8 - 21\/(-28). Let c = g - -200. Let 18\/5*u**2 + 4\/5*u + c + 8\/5*u**3 = 0. Calculate u.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 968258, 968262, 968266, 968270, 968274, 968278?\nAnswer: 968282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10377 - 35623 = 0. Round n to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/4 + 175*l\/4 + 129 = 0. What is l?\nAnswer: -172, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**5\/20 + u**4\/6 + u**3\/6 + u**2\/2 + 21*u. Give f(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5233*w = 5237*w - j - 43, 52 = 4*w - 4*j for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2478 divided by -42?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - -287. Suppose -u - 836 = -7*m. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**5\/30 - u**4\/24 + u**3\/6 - 5*u**2. Let d be c(1). Suppose -d*i + 388 = 2*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8767 (b) -8 (c) -31\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 (base 14) in base 2?\nAnswer: 11100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095202381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/52 and 31\/858?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g*m**2*z + 2*g*m*z - g + 9*m**5 - 9*m**3*z + m*z - 2*m wrt m.\nAnswer: 2*g*z + 180*m**3 - 54*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**5)\/((g**7\/g)\/g))**(4\/11)\/(g**(-2\/13)\/(g*g\/(g\/(g**(1\/5)\/g))*g*g))**8 assuming g is positive.\nAnswer: g**(11124\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + -1*(3 + -2*sqrt(2057) + sqrt(2057)) + 4*(sqrt(2057) + -5*-2*sqrt(2057) + sqrt(2057)) + -2))**2.\nAnswer: -68992*sqrt(17) + 79021968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -27c (base 16) to base 10\nAnswer: -636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*d**2 - 6*d**2 - 11*d**2 + (-d - 2 + 2)*(2*d - 6*d + 2*d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 14) in base 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 2*x + x)*(289 - 58 + 24 + 132)*(-4 + 3 + 2) to the form u + c*x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 6*k - 13. Calculate y(6).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 9, u: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 968016 and 33232?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 19 - 2 = 0. Let q(w) = w. Calculate the remainder when f is divided by q(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(32) - sqrt(2)) + (-3 + sqrt(32))**2).\nAnswer: -126*sqrt(2) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.2, 6, 3\/4 in ascending order.\nAnswer: -2.2, 3\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 586, -3, -914, 2, -4 in decreasing order.\nAnswer: 586, 2, -3, -4, -914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + 1 + 2 + -2 + ((sqrt(77) + sqrt(77)*2 - sqrt(77) - sqrt(77)) + sqrt(77))\/sqrt(7) + -4 + -1 + -1 + sqrt(704) + sqrt(704)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442 = -3*j + 5*z, 4*j + 5*z + 36 = 532. Sort j, 0, 21 in decreasing order.\nAnswer: j, 21, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a + 5432 - 5223 = 0 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 620080 and 163024.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (0 - 0) - (14 + -2 - 12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -7 (c) 4\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (1 + -2 - 0). Let y be (4*3)\/(3 - v). Let c(s) be the first derivative of -s**2\/2 + 2. Calculate c(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-9 - (2 - (-2 + 22)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17072, -17073, -17076, -17081?\nAnswer: -17088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9362659, -9362658, -9362665, -9362686, -9362727?\n\"Answer: -o**3 + 2*o**2 + 2*o - 9362662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40\/163 - -139199\/652. Let b = 211 - l. What is the common denominator of b and -83\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*u**3 + 0)*(3*u - 2*u + 0*u) - 5*u**4 + 5*u**4 + 2*u**4 - 137*u**2 + u**4 - u + 138*u**2 - 48 - 11 + 4*u**4 - 3*u**4 + u**4.\nAnswer: 7*u**4 + u**2 - u - 59","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {z: 2, y: 4, w: 10}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(1\/5)\/s)*s)**(-2\/59) assuming s is positive.\nAnswer: s**(-38\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-1 - 2*w + 1) - 10*w + 3*w - 9*w - 1 + 3*w + 1.\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v. Let y(s) = 3*s - 25*s + 0*s + 3*s - 10*s - 1. Give j(y(k)).\nAnswer: 145*k + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 656941470 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12112010202 - -1110222?\nAnswer: 12120121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7792172 is divided by 1176?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-2 - -16)) + -2 - (122 - 127)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 25, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/5)\/((i\/((i*i**(-3))\/i))\/i)*(i\/(i*i\/i**3*i*i*i*i))\/(i\/(i*i**(2\/9))) assuming i is positive.\nAnswer: i**(-197\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17285650 to the power of 1\/2, to the nearest integer?\nAnswer: 4158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.023 + 0.423. Let m = 0.3 + -4.3. Which is the biggest value? (a) m (b) q (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13900\/29250 - (-132)\/(-297)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 - 2*a - 5. Let z(d) = d**2 - 10*d + 10. Let w be z(8). Is h(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 82 (c) -1395 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Suppose 5 = c*t - 13. What is the least common multiple of 10 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3 + 2907*t**2 - 403266*t - 4320360 = 0. Calculate t.\nAnswer: -1091, -10, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478507, 1914602, 4308093, 7658980, 11967263, 17232942?\nAnswer: 23456017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l + 6. Let b(n) = -n + 1. Suppose 3*v + 2*k = 9, 0*v + 4*k = v - 17. Let o(s) = v*d(s) - 35*b(s). Is o(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -179, -180, -181, -182, -183?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -823 = -2*g - 841 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2 = -2*q + 4*g, -5*g + 12 = q. Factor -2*r**3 + 2*r**3 - r - 2*r**q + 2*r**4 + r**5.\nAnswer: r*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(2) - -1*sqrt(2)) - sqrt(2)) + sqrt(2) + (sqrt(128) - (sqrt(128) + 0)))**2 + -6*(sqrt(2) + -2 + 1*sqrt(2) - sqrt(2)).\nAnswer: -6*sqrt(2) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 13 (b) 0.1 (c) -997\/4 (d) 3 (e) -1 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + 4*d. Let k(m) = -m. Suppose 45*t - 196 = -4*t. Determine t*k(z) + r(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-54)\/(-351) + 271\/13. Calculate the greatest common divisor of 42 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 190213\/75 - 63396\/25. Let l = -8.93 - -9. What is the closest to q in -5, l, -7\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 477912 divided by 3\nAnswer: 159304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -62 + (1 - 8) + 12 + (3 - 3)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -104?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6 = 138. Let x be (-4)\/((-3)\/(-6) + -1) - 4. Suppose -x*u - 491 + 1191 = 0. What is the remainder when u is divided by j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 197*u**2 - 238*u**2 + 2 + 13 in the form r*u + m*u**2 + a and give m.\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -11920*v**2 - 5*v + 26. Let b(w) = 6*w**2 - 2*w - 2. Let x be b(-1). Let u be p(x). Let t = u - 73876. Round t to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2 = 5*p, -5*y + 6*p - 9*p - 57 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 + -52. Let p = -195\/4 + g. Let o = 0.63 - 0.13. Which is the nearest to p? (a) -1\/9 (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-16))\/(7\/(-112))*21\/2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-741)\/(104\/(-8)) - (5 + -6)\/(-1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -407839 - -615902. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40279 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70.87 - -70. Let d = g + 2.87. Which is the nearest to -2\/3? (a) -4 (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13532, 13779, 14012, 14225, 14412?\nAnswer: 14567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90 - (-65536)\/704)*33.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.24 - -19.26. Round v to 0 dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 3*f - 31. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3. Let x = j - 1.1. Let t = 0.19 - -0.21. What is the nearest to x in t, -5, 3\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 44*d**3 - 5*d + 3. Let c(v) = -v**3 + v - 1. Determine -5*c(o) - s(o).\nAnswer: -39*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**3\/9 + 10*x**2\/9 - 8*x\/3 = 0.\nAnswer: -4, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -73246, -73238, -73230, -73222, -73214?\n\"Answer: 8*i - 73254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1735890779.\nAnswer: 7, 37, 43, 79, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6359964*n. Let k(c) = 6217*c. Calculate -3068*k(a) + 3*w(a).\nAnswer: 6136*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22161, -5, 59 in decreasing order.\nAnswer: 59, -5, -22161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3165636, 3165634, 3165632, 3165630?\n\"Answer: -2*j + 3165638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, q: 5, h: 1, v: 1, a: 2, i: 1}. Give prob of sequence iqo.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 6\/5, -108, 3\/4 in increasing order.\nAnswer: -108, -3\/2, 3\/4, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -24*r**3 - 127*r**2 - 7753*r - 5. Let x(n) = 27*n**3 + 127*n**2 + 7755*n + 6. Let s(t) = 6*g(t) + 5*x(t). Find the second derivative of s(f) wrt f.\nAnswer: -54*f - 254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2. Let j(t) = -1804*t**2 + 924*t - 1. What is j(n(x))?\nAnswer: -1804*x**4 - 924*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 35 = -4. Let c be p\/9 + 1\/(-3). Let f(h) = -2*h**2 + 39*h + 27. Let m be f(20). Solve -c*w = 13 + m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17170*r**3 - 3*r - 13585 wrt r.\nAnswer: 51510*r**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 3 - -5*(-3 - -5). Let g(f) = -f + 11. Let i be g(6). Suppose -i*z = 4*n, -5*n + 29 = z - 2*z. Solve -n = -q*h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5*15\/51. Which is the closest to 1? (a) -1\/2 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/115 and -101\/20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/234 + (1 + -2 - (-264)\/90)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -103*q**4\/6 + 445*q**3\/2 - 369*q**2 - 44*q\/3 = 0.\nAnswer: -4\/103, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16617.\nAnswer: 3, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -11, -3, -8.\nAnswer: -11, -8, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/2 - 5*y**3\/2 - 3*y**2 + 16*y + 16 = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*x**2 - 30*x**2 - 35*x**2 - 42*x**2.\nAnswer: -47*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 10252*y + 3157560.\nAnswer: 4*(y + 358)*(y + 2205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7664974 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -9. Let p = 0.93 + -0.87. Let w = 5.06 - p. What is the closest to 2\/5 in c, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -441*a**4\/2 - 3*a**2\/2 + 1039*a - 13126. Find the second derivative of k(x) wrt x.\nAnswer: -5292*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 + x - x + (3*x + x - 5*x)*(0 - x + 0) - 79*x**2 + 457 - 457.\nAnswer: -82*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -4.1, 3, -0.4, 6\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b12 (base 12) to base 16\nAnswer: 63e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 + (-6 - -8) - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1943.44 meters to millimeters.\nAnswer: 1943440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169*r**3 - 618*r**2 - 17915*r + 20?\nAnswer: -1014*r - 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.004 in 2, 5\/4, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-58)\/(-7) + (-12)\/42. Calculate the remainder when (0 - q)*4\/(-8) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.1 and -19.\nAnswer: -58.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15498, -15502, -15506?\n\"Answer: -4*w - 15494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24267943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*a - 632, 0 = -3*a - 2*s - 78 - 526. Let p = a + 209. Solve p*z - 2 = 7*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*p = -166 + 28, 5*o + p = 139. Calculate the remainder when o is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20256 rounded to the nearest one hundred?\nAnswer: -20300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.469 + -0.5. Let j = 0.031 + g. Which is the nearest to -20? (a) j (b) 1\/2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-14\/9)*h)\/h)\/(h**(-9)\/h)*((h**(-7)*h)\/h)**(-2\/53) assuming h is positive.\nAnswer: h**(4154\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2921*o - 1504319. Determine d(515).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11718, 11874, 12030, 12186, 12342, 12498?\n\"Answer: 156*k + 11562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7 + 26*x + 2*x - 15. Is 17 a factor of s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x + 7. Suppose -5*v - o = o - 39, -4*v + 24 = 4*o. Determine n(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.9 + 16. Suppose 6*k + 35 = k. Let q = 4 + k. Put q, d, 5 in decreasing order.\nAnswer: 5, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87.84 - 79. Let k = 4.9 + -5.24. Let c = d + k. What is c rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5202 and 17.\nAnswer: 5202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -3794.09.\nAnswer: -3793.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 456 - 306. What is the remainder when w is divided by 26*((-1)\/2 - -2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s + 3*s)*(-1397 - 237 - 927 - 653).\nAnswer: -9642*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50249270 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25400 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1. Let k(z) = -4*z**2 - 5. Let n(m) = -k(m) + 5*v(m). Let b(x) = x**2 + 8*x**2 - 2*x**2 - 5*x**2. Determine b(n(j)).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/19, 4, 3, -2, -6, -0.3 in increasing order.\nAnswer: -6, -2, -0.3, 6\/19, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66201 + 66206 + 19*z + 13*z.\nAnswer: 32*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-35))\/((744\/(-252))\/62)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 1851*o + 3586. Calculate r(-2).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1929 (base 10) to base 2\nAnswer: 11110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 43*o**5\/15 + o**2 - 98. Let g(m) = m. Determine g(d(t)).\nAnswer: 172*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**3 + p + 2. Suppose -52*n + 65 = -39. Determine w(n).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 957 and 522.\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-1855)\/(-1848) - 1). Let c be ((-5)\/(-3) + -1)*y\/528. Solve 0 - c*m - 1\/3*m**2 = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**6\/12 - i**5\/60 + i**3\/6 + i**2. Calculate the lowest common multiple of 10 and h(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -4. Suppose 5*t + 5344*p = 5342*p - 41, -24 = -t - 5*p. Sort a, t, -1 in decreasing order.\nAnswer: -1, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30979 and 91?\nAnswer: 216853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from {e: 1, y: 2, a: 1, t: 2, q: 1, i: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) + 1\/(-3). Suppose o = z + 4 - 20. Suppose 12*n = 9*n + 54. Calculate the lowest common multiple of n and z.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 1\/5, 0, 7, -33, 0.06?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35493, -70994, -106497, -142002, -177509, -213018, -248529?\nAnswer: -284042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j - 88. What is y(-22)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 3*n - 7*n + (-3 + 3 + 6*n)*(-1 - 1 + 3))*(4*n + 0*n - 3*n) as b*n**2 + t + k*n and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14533 (base 7) to base 11.\nAnswer: -3045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 3*a**2 - 5*a. Determine s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*g**3*v**2 - 7*g**3 + 7*g*v - 31 wrt v?\nAnswer: -84*g**3*v + 7*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/32*1*5\/(-15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10429, -24223, -38015, -51805, -65593, -79379, -93163?\n\"Answer: m**2 - 13797*m + 3367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**5\/3 + 16*i**4\/3 + 76*i**3\/3 + 56*i**2\/3 = 0.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 239 - a**3 + 242 + a - 5*a**3 - 472 to the form t*a**2 + y*a**3 + l*a + d and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6)*(-92)\/(-138)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 10:27 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1160 and 157\/36960.\nAnswer: 1071840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 7:32 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -2. Let c be (-1)\/(-2 + z + 2). Suppose d + b = 2*d + 4, 4*d + 21 = 5*b. Which is bigger: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 4*t + 4. Let a be s(-3). Let y(m) = -m + 3. Let n be y(3). What is the least common multiple of 22 and (n - -1) + (2 - a)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**4 + 29*w**3 - 39*w**2 + 15*w. Let i(t) = -2*t**4 + 28*t**3 - 38*t**2 + 15*t. Let u(c) = 3*f(c) - 4*i(c). Factor u(v).\nAnswer: 5*v*(v - 3)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457 + 4*o**2 - 457 - 2*o**2 - 4*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 105*x**2 + 489*x - 79. What are the prime factors of p(-111)?\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 41, 16 in increasing order.\nAnswer: 0, 16, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + m + 17, -6*p + 2*p + 5*p - 2*p + 47*m - 44*m + 12 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p. Let k(m) = -5*m + 82. Let v be k(18). Calculate h(v).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.17, -1, -0.3, 0.01?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37103, -37093, -37083, -37073, -37063, -37053?\nAnswer: -37043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2106)*3)\/(-1*sqrt(98))*-2 + -2.\nAnswer: -2 + 54*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*m - 614 + 1889 - 664 - 605.\nAnswer: 46*m + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 19 - 3*a - a + 3*a - 37. Let s be m(-11). Let p = -1 - s. Solve 5*v - 3 = p*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(4 + ((sqrt(2736) + -2)*3)**2)*-3.\nAnswer: -15552*sqrt(19) + 887904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q - 8*q - 4*q + (-4 + 2 - 2)*(2*q + 2*q - 6*q) to the form f + l*q and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + 103. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 2:34 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1030*t - 4 = -1032*t + 2*p, 5*t + 4*p = 37 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44129.\nAnswer: 44129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 5. Is (-1)\/(y - 40\/38) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19120028.8 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983 is divided by ((-7)\/14)\/(8\/(-464)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*h + 3*s + 11, 0 = -5*h - 2*s - 10. What is the tens digit of ((-66)\/h)\/3*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -2. Suppose 0 = -7*l + 56. Suppose -l*c - 33 = -17. Sort 3, k, c in decreasing order.\nAnswer: 3, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(77)\/(sqrt(7) - (sqrt(7) + 3*sqrt(7)))*-4 - sqrt(132)\/((4*sqrt(144))\/sqrt(12) - sqrt(12))) + -5.\nAnswer: -5 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**4\/12 - 5*g**3\/6 + 5*g**2. Let t be r(4). Suppose 3*u = -0 + t. Solve -i = -k + u, 0 = -3*k - k - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-4 - -3) + 3 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3315 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from gmmggg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 6)*(219*s - 32*s + 452*s)*(3 - 2 + 2) as j + l*s and give l.\nAnswer: 3834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48440753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 14 = 4. Let p = -6 - c. Suppose -p = -i + 9. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(6 + -1)*(-9 + 10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1184*t. Let l(j) = -6*j. Give l(p(s)).\nAnswer: 7104*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdddbddd. Give prob of picking 3 d.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -21*t**2 + 15*t. Let p(f) = -3*f**2 + 2*f. Let m(j) = 15*p(j) - 2*s(j). Let v(g) = 5*g. Determine v(m(l)).\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 56, -4, 26, -52?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5045539 = r + 5045544, -4*d - 130 = -2*r for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.2, 6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-3 + 6)\/3). Suppose 43 = -8*a + v. Let d(c) = c**2 + 6*c + 7. Give d(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) -0.6 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(4)\/sqrt(2) + 0 + sqrt(16)\/sqrt(2))*-5 + (3*sqrt(12)\/sqrt(2))\/(sqrt(81)\/sqrt(3)))**2.\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5 - 120026*x**4 - 1810880110*x**3 - 302660312206*x**2 - 599888464176*x - 299038912056 = 0. What is x?\nAnswer: -29922, -167, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**4*v**2 + 19925*a*v - 310*v**2 - v wrt a.\nAnswer: -8*a**3*v**2 + 19925*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4*q**3 - q**2 - q + 0 = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*h = -1 - 71. Which is the biggest value? (a) 0 (b) -116 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 765 and 285?\nAnswer: 14535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489337 - 2*w**2 - 489337.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(80)*2 + 2)*-4 + (5 + sqrt(80) + 0)*4)**2.\nAnswer: -448*sqrt(5) + 1476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55490241 and 13993?\nAnswer: 388431687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l - 62. Let d be a(16). Solve -d*v + 9 - 3 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*k - 7 - 1, 3*t - 6 = 4*k. Find the third derivative of x**4 - 6*x**2 + 2*x**4 - 2*x**2 + 5*x**t wrt x.\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 e when three letters picked without replacement from {f: 4, m: 1, n: 9, e: 1, a: 2}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-8)*(-5 - -9). Solve -c + 0*c - d = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77*((-27)\/(-12) + (-11090)\/(-280) + -42)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 times 114?\nAnswer: 12.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 - 22*c - 18. Suppose 51*a - 40*a = -110. What is t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (1 - (-3 - -1)). Suppose 5*f - 4*h - 33 = d, f - 2*h = h. Let p = -27 + 45. What is the greatest common divisor of f and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12096186, -24192368, -36288540, -48384696, -60480830, -72576936, -84673008?\n\"Answer: n**3 - n**2 - 12096186*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59533 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16070*c**3*m - 8*c**3 + c**2 + 259 wrt m?\nAnswer: 16070*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 11. Suppose -73 = -11*p - 18. Let x be t(p). What is the greatest common factor of 54 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t\/(t*t\/(t**(-4)*t)))\/t)*t)*t)\/(t\/(t**5*t*t)*t)*(t**(3\/4)*t)\/t*((t\/(t*t**(-2\/13)*t))\/t)\/t assuming t is positive.\nAnswer: t**(-109\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -1094193438?\nAnswer: -1094193438.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639879686?\nAnswer: 2, 319939843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 + 2*j**2 + 2*j - 2. Let u be d(2). Suppose 0 = 2*r - 15 - 3. Let w = r + u. Calculate the highest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m. Let u be (-6)\/(-5) + -1 + m. Let v = -110864\/3 - -776042\/21. Which is the closest to -2\/5? (a) v (b) 0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 13. Let k be h(-14). Suppose -2*m - m = 0. Let f = m + k. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5092.1 + -5092.5. Let y be 4\/(-6)*(3 + 0). What is the closest to y in 1, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -11. Let k be (-2 - l) + 1*13. Suppose 26 = w - k. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 8:59 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -5 in increasing order.\nAnswer: -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/6)\/((-2)\/(-108)*-6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**3\/p*p)**28)**(-36))**(-44) assuming p is positive.\nAnswer: p**133056","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2961915583 to the power of 1\/3, to the nearest integer?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**5\/60 + 11*q**2\/2 - 3. Let a(k) be the second derivative of h(k). Let y(u) = -4*u**2. Determine y(a(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1540 and 4840.\nAnswer: 33880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/4 - 17715*k\/4 + 2627163.\nAnswer: 3*(k - 5236)*(k - 669)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/30940 and 25\/34216.\nAnswer: 2908360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*v + 128567 - 128385 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/10)\/((-5)\/(-25)). Suppose 0 = -i*a - a + 60. Solve 8*l - 3*l = 3*n + 16, -3*l + a = -n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1481*v**3 + 740*v**3 + 725*v**3.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4284)\/(-595)*(-10)\/6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1554325 (base 6) to base 15.\nAnswer: 1c855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.7 + 34.79. Let s = 1.86 - k. Round s to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 466 + -480. Put -0.01, c, -0.2, 2 in decreasing order.\nAnswer: 2, -0.01, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 12*y = 0. Suppose y = o - 3 + 1. Determine j so that 21\/8*j + 9\/4 + 3\/8*j**o = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, r: 5, e: 5, i: 1}. What is prob of picking 1 s and 3 r?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 3*z - 2*z + 0*z. Let w(i) = -9*i**2 - 8. Let r(b) = -b**2 - 1. Let k(t) = 24*r(t) - 3*w(t). Determine k(o(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwbpupwbuuuwbuubub. What is prob of sequence upb?\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**17))\/x**2*(x*x**(4\/7)*x*x*x)\/(x**3\/x))**(-29\/2) assuming x is positive.\nAnswer: x**(3335\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4 + 2*g - 4*g**2.\nAnswer: -(4*g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 11270 = 2*u + 11254, 4*u = -z + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1172*w = -232*w - 1532*w + 215*w - 114282 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38095*p + 42629.\nAnswer: -38095","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -111020220 (base 3) to base 9\nAnswer: -14226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**4\/6 + 7*k**3\/6 - 5*k**2\/6 - 7*k\/6 + 1 = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**4\/12 + 4*p**2. Let t(w) = -8*w. Calculate k(t(o)).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*v + 2943037, d - 1531857 = -4*v - 550890. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - -8. Let h be z\/8 - ((-3)\/2 + 2). Solve -2*a + h = 3*a - 3*i, 0 = -a - 4*i - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-4*o - 3*o + 5*o)*(-2 - 1 + 51).\nAnswer: 96*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iioio?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 4)*(-4*y + 0*y + y)*(-119*y**2 + 119*y**2 + 22*y**3)*(7 - 5 + 1) in the form f*y**3 + b*y + u*y**4 + d*y**2 + r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-99))\/((-94)\/47).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6344650 - 6344538.99653. Let w = 111 - q. Round w to four dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2145 - 15*s**2 - 2145.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h + 3. Let d(g) = -2*g - 2. Let v(t) = -4*d(t) - 3*n(t). Let c = 3 - 2. Let u be v(c). Sort -4, u, 3 in decreasing order.\nAnswer: 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 6*c**2 + 6*c - 1. Let m be g(4). Let f(x) = 20357*x**2 + 6*x + x - 20356*x**2. Let q be f(m). What is the highest common factor of 198 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 1192?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1498 - 2468. What is m rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 15*n - 34. Let w be h(-12). Let m(s) = -4*s**2 - 3*s**w - 2*s + 6*s**2. Let p(a) = 2*a**2 + 5*a. Give -5*m(o) - 2*p(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1910*b - 5 + 1 + 1902*b.\nAnswer: -8*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*w, 0 = -0*l - l + 2*w - 10. Let h(i) = -1. Let z(a) = 2*a + 124. Let q(b) = l*h(b) - z(b). Let m(t) = t**2. Give m(q(n)).\nAnswer: 4*n**2 + 480*n + 14400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 13. Let y be t(-6). Let k be -42 + 47 + 991\/187. Let h = k + -112\/11. Is y at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 divided by -2.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 7. Let x be p(-7). Suppose 7*r - 100 = 2*r. Suppose x = 4*m - 0*m - r. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**3\/3 - 2*z**2 + 5852*z. Let y(w) = 1. Let h be 3*(2\/6)\/1. Let b = 4 + 0. Determine b*y(s) + h*p(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 348392 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2060 by -5.\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p - 5*p - 12*p + 9*p. Let b(u) be the first derivative of -u**6\/45 - 2*u**3\/3 - 2. Let x(q) be the third derivative of b(q). Calculate w(x(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1 - (4\/4 + -3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m - 20. Give o(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5029425\/22353*(-2)\/(-9).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421359517?\nAnswer: 23, 18319979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -4*b - 75, 4*v - 1882 = -6*b - 1960 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.196719 tonnes in kilograms?\nAnswer: 4196.719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 992513825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/1349 (b) 21 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0, 5, -30, 72.\nAnswer: -30, -1, 0, 4, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3339 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 1271*b - 7662. Determine s(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 516037 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**4 - 3*d**3 + 3*d**2 - d. Let q(w) = 11*w**4 - 6*w**3 + 7*w**2 - 2*w. Let y(z) = -13*f(z) + 6*q(z). Let y(o) = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312101?\nAnswer: 312101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3539, 4498, 6115, 8396, 11347?\nAnswer: 14974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166\/5 - 33. Let y(m) be the second derivative of h*m**5 + 0*m**3 - 2*m + 1\/9*m**4 + 1\/10*m**6 + 0 + 0*m**2. Solve y(c) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793836 is divided by 524.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -107*o**3 - 35*o**3 - 56 + 251*o**3 - 26*o**3 + 305 + 2*o**2 wrt o.\nAnswer: 249*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + o = -7, -4*b + o + 3 = -2*b. Suppose 0 = 3*r - b*z + 627 - 2300, -r = 2*z - 547. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 12*i**2 - 18*i + 7. Suppose 2*d + 26 = 38. Let v be (45\/d)\/((-1)\/((-4)\/3)). What is the least common multiple of 6 and j(v)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1715881323.\nAnswer: 3, 13, 67, 656671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajj when three letters picked without replacement from vjajpaajavvvjavj?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/1629 and -23\/9.\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (3 + 3 - 1) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31607593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 391*z + 28. Let t(m) = -49*m - 1. Let a(k) = -h(k) - 8*t(k). Let v be ((-3)\/2)\/(21\/(-28)). Let r(d) = d**v + 20*d - 2*d**2 - 20*d. Give a(r(p)).\nAnswer: -p**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g**3 + 319*g**2 + 271*g - 54.\nAnswer: -(g - 54)*(g + 1)*(6*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 4*d + 3. Let y be m(-2). Let j(b) be the second derivative of -b**3\/6 - 3*b**2\/2 + 12*b. Determine j(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - u - 3*u + (0 - 4 + 5)*(2*u - 3 + 0*u - 1).\nAnswer: u - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1291055 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 + 138. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4335 + -4333. Factor 96\/5*v + 84\/5 + 3\/5*v**3 + 33\/5*v**x.\nAnswer: 3*(v + 2)**2*(v + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 48*o + 3. Let f be h(24). Let b(d) be the second derivative of 0 - 2\/5*d**5 + 0*d**f - 2\/15*d**6 - 1\/3*d**4 + 4*d + 0*d**2. Factor b(v).\nAnswer: -4*v**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9362, 15677, 26204, 40943, 59894?\nAnswer: 83057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m + 17*m + 6*m - 3*m + 18*m - 5*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 10 + s**3 + 5*s**2 - 2*s**3 + 143.\nAnswer: -s**3 + 5*s**2 + 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2660 divide 29971393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1237*i + 894*i**3 + 679*i + 136*i - 894*i**3 + 469*i**5 wrt i?\nAnswer: 9380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8 = -u. Let r be 1353\/(-55) - u\/5. Does 7 divide 2 + -7 + 1 - r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 10*f - 9. Determine q(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-87)\/1566*(-7 + 3). What is the nearest to 1\/3 in -17.9, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h - 61. Suppose 412*a = 416*a - 64. Calculate the remainder when h is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b0a (base 12) to base 15.\nAnswer: 176a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 11*m**2 - 341*m - 27. What is the tens digit of f(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -899 times -2\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 21*g**3 + 9*g**2 + 9*g + 9. Let b(t) be the second derivative of t**5\/4 + t**4\/6 + t**3\/3 + t**2 + 14*t. Give 18*b(r) - 4*x(r).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*s, -5*r + 0*s = 2*s - 12. What is the second biggest value in r, 16, -1\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 277210 and 1767?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*u - 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 11*v**2 + 58*v - 42. Calculate the lowest common multiple of s(12) and 30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3)*3)\/(10\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 0. Suppose 496 = 4*o + 5*s - s, -o + c*s + 148 = 0. Suppose 2*f + o = 5*f + 5*i, 5*i + 127 = 2*f. Calculate the greatest common factor of f and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-6 + (3 - (3 - 3)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 20*u**2 + u. Let f be m(-1). Let r = f - 19. Let w be (1\/1)\/1*r. Is 7 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**5\/20 + v**4\/2 + v**3\/2 - 9*v**2\/2 + 52*v. Give w(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpq when three letters picked without replacement from mqmqompwwpqq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 9*s**2. Let j = -43 - -59. Let d(f) be the first derivative of j + 275*f**2 + 5 - 3 - 273*f**2. Calculate d(b(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 2. Let c be n(0). Let i be -1 + (2 - (-1 - 0)). Suppose i*x = v + 36, 0*v = -x - 5*v - 4. What is the highest common divisor of c and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1031222 (base 4) to base 5\nAnswer: 124340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534*z**2 - 71*z**2 - 149*z**2 - 168*z**2 - 144*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 38 - 70*w**2 + 81 + 31.\nAnswer: -70*w**2 + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201022000 (base 4) to base 16.\nAnswer: 61280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822488?\nAnswer: 2, 102811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7377.36 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((64 - 80) + 4 + (-12 - -6))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428542150 to the power of 1\/3, to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 + -3 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1083515 to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 143) + 115 - (1 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 + 20*v + 7*v**2 - 22*v + 26 - 3*v**2.\nAnswer: 4*v**2 - 2*v - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010111100 (base 2) in base 3?\nAnswer: 10202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytytyyyyy. Give prob of picking 4 y.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*l - 25754 = -24414 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3685611720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106*105\/126*(-24)\/40.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3861*c**3 - 2*c**2 - 4*c - 2. Let u be m(-1). Is (u - -1)*(4 + (-7)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c + 5. Let x(j) = -3*j - 2. Let y(u) = -8*x(u) - 3*z(u). Let k be y(-1). Is 14 a factor of (k\/1)\/((-3)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77221.69 or -1?\nAnswer: -77221.69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 - 11*q + 3. Calculate s(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 14a03?\nAnswer: 149a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 - 2*s + 5. Let x(v) = v**3 - 11*v**2 + 3*v - 9. Let h(t) = -7*a(t) - 4*x(t). Let y be h(-1). Factor 9*n**4 - 2*n**y - 7*n**4 - n**3 + n**5.\nAnswer: -n**3*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3983*q + 3948*q + 1874705 = 0. Is q a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -3*a + 576. Let q = -60 - a. Solve 2 = -n + q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -12. Let u(m) = -3*m + 3. Calculate the least common multiple of 6 and u(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010221222 (base 3) to base 4\nAnswer: 11200223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m - 15. Let c(g) = 3. Let t(b) = 5*c(b) + k(b). Let s(w) = 105*w. What is t(s(p))?\nAnswer: -315*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + g**2 + 2*g**2)*(g**2 - g**2 + 3*g**2) + (3 + 0 - 5)*(g**4 + 3*g**4 - 5*g**4) + (-5*g + 0*g + 4*g)*(-g**3 + 3*g**3 + 0*g**3).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 + 5 - 2*l**2 - 3 + l - 2*l - 13*l**4 in the form z*l + i + d*l**3 + m*l**2 + b*l**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 1)*(-1 + 0 + 0)*(-z**2 + 5*z**2 + z**2) to the form y*z**2 + k + n*z and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 less than 142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 650437003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 34038 = -2294977. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1154*j - 1153*j = 4. Let g be 0\/(8\/(-8 + j)*-1). Is g equal to 3\/133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(((-312)\/(-84))\/(-13)*5\/(330\/77)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 40516*v + 121504. Give o(-3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 70*a**3 + 6*a**2 - 11*a - 2. What is the tens digit of i(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 14 = 4*z - 5*o, 0 = 5*z + 2*o + 24. Let a be (-1)\/(z\/24*2). Find the first derivative of -14 + 6 - 4*f**3 + 0*f**a + 3*f**3 wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -7257.\nAnswer: 14514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h - 58 = -2*j, -4*h + 78 = 2*j. Let r = h - 11. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 12032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/(-20) - (-3)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l**2 + 3*l**3 + 144 - 148 + 4*l**3 + 4*l**2. Let k(w) = 7*w**3 - 3. What is 3*k(u) - 2*n(u)?\nAnswer: 7*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*c + 25 = 0, -3*q + 47*c - 49*c + 17 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122680.9 weeks to hours.\nAnswer: 20610391.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 42\/5 of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, w: 8, y: 1, v: 1}. What is prob of sequence fvyw?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -221\/607445 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5))**(-6) assuming w is positive.\nAnswer: w**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22.1 and -4?\nAnswer: 88.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -144.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000030021 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w + 3. Let m(s) = 1. Let b(l) = 3*l + 7. Let u(o) = -b(o) + 5*m(o). What is 3*g(r) + 4*u(r)?\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9109.108 micrograms?\nAnswer: 0.000000009109108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101111101110010 + 101?\nAnswer: -110101111101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -380 + 385. Let z(b) = -b**2 - 5*b + 52. Let w be z(i). Let f be ((-6)\/5)\/((-4)\/10). Solve 2*g - 8 = f*p, 0 = g + w*g - p - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**3\/2 + 20*u**2 + 12*u + 1. Let j be t(13). Which is smaller: -3\/214 or j?\nAnswer: -3\/214","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(12\/7)*q)\/q)\/q**(9\/2))\/(((q\/q**(-32)*q)\/q)\/(q\/(q*q*q**11))) assuming q is positive.\nAnswer: q**(-669\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 62609525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 243, 433, 703, 1077, 1579?\nAnswer: 2233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/180)\/(18\/(-27)*(-1)\/2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: What is next in -18026, -13510, -8994?\nAnswer: -4478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -0.9 (b) 351\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124566864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*v**2 + 153*v**2 - 301*v**2 + 4 - 5 to u*v + s*v**2 + g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84846.28 nanograms to micrograms.\nAnswer: 84.84628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddmfwdddfwwfw. Give prob of sequence wd.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -47. Suppose -p*q + 16 = -2*l, 0*l + l + 5*q - 7 = 0. Let b be (l + 1)\/(2 + 5\/(-2)). Solve -5*k + 2*k = -5*w + 35, -b*k + 5*w = 40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**3 + 14*i**2 + 5*i - 6. Let q(m) = 9*m**3 + 27*m**2 + 9*m - 13. Let d(k) = 3*q(k) - 5*y(k). Let c be d(-4). Are c and 31 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 1131?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 + 7*s**3 - 2*s**3 + 0*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203381*h**3 + 67801*h**3 + 67801*h**3 + 67778*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192029*b - 576091*b + 192028*b + 192037*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/25)*(y**(-1\/3)\/y)\/y)\/(y*(y**8*y)\/y)**(-14\/11) assuming y is positive.\nAnswer: y**(7492\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1075 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + -5 + 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 29*v + 14. Let k be h(-6). Let c = 160 + k. Solve -9 = -c*a + 3*a, 22 = -5*x - 4*a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0 + 2. Let f be 48\/(-60)*5\/y. Calculate the greatest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 19.415.\nAnswer: 1.1649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(76)*3)\/(sqrt(576) + sqrt(576)*1) + -3*(sqrt(95) - 3*sqrt(95)*2)\/(sqrt(405)*1).\nAnswer: 29*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**14)**(-42) assuming i is positive.\nAnswer: i**(-588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from jhhyhhhhjh.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -3. Let x = -1.6 - -2.1. Let i = 1.947 - -0.053. Which is the third smallest value? (a) 1\/4 (b) o (c) i (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**2\/2 + 14*k - 10. Calculate m(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364406487.\nAnswer: 3, 10739, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1547 + -992. Suppose -5*y - 3*p + c = -21, -5*p + 570 = 5*y. Suppose -j = 2*j - y. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 + 35\/(-28)*-4. Suppose -v*k + 30 = -8*k. Determine a so that 4\/5*a**k + 2\/5*a**5 + 0 - 7\/5*a**4 + 0*a + 4\/5*a**2 = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 443 + 95*v - 1001 + 516 to i*v + k and give i.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19*(-21)\/798)\/((-2)\/(-4))*185. Which is bigger: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12769 rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9*f**5 + 5*f**4 - 28*f**3 - 16*f**2 + 4. Let a(h) = -125*h**5 - 70*h**4 + 390*h**3 + 225*h**2 - 55. Let w(t) = -4*a(t) - 55*k(t). Factor w(u).\nAnswer: 5*u**2*(u - 2)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1458*s = 2494*s + 25729 - 5969 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 157 - 1167. Let n = -199 + k. Solve n - 7 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microsecond in nanoseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87.3193616935381 + -11573125.5606383964619. Let u = n - -11573213. Let d = u + -0.12. What is d rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1804*m**3 + 885*m - 2583*m + 852*m - 1802*m**3 + 892*m.\nAnswer: 2*m**3 + 46*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 711.26 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*a**3 + 4*a - 254*a**3 - 2*a - 2*a - 266*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6665.225g?\nAnswer: 0.006665225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2986 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 582, 5124, 17454, 41466, 81054?\n\"Answer: 649*s**3 - s - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 6*r - 5*u = -27, 0 = -r - u + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1147.06 millilitres to litres.\nAnswer: 1.14706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8*-22\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 12 = 5*y. Let t be 1 - (y - 3)*-2. Solve s + x = -3*s - 11, -t*x = 2*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 209 and 14440.\nAnswer: 158840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 14*j = 28*j + t - 69, -4*j = 28*t - 28 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 819 = -39*r. Put 1\/4, 0, r in decreasing order.\nAnswer: r, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6063847 and 0?\nAnswer: 6063847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 6*r + 7*r + 2*r - 2 to the form d*r + q and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*r + 8. Let g(w) = -1 - 3*w + 0 - 7. Let d be g(r). What is the greatest common divisor of d and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4\/a)\/a*a*a*a**(4\/5))\/(a\/(a*a**9)*a\/((a*a*a\/a**0*a*a)\/a)) assuming a is positive.\nAnswer: a**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22520630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**4\/4 + a**2 - 6. Find the second derivative of t(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*x - 3*u - 151, -49 = 2*x + 5*u. Let f = x - -65\/2. Which is the third biggest value? (a) 2 (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198029, -396059, -594089, -792119, -990149, -1188179?\nAnswer: -1386209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 222, 2, -3, -4, 3, -494 in decreasing order.\nAnswer: 222, 3, 2, -3, -4, -5, -494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 86\/8 + (-1)\/(-4). Let b be -2*(-2)\/(-2)*-10. Let t = b - j. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4817284758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 2*a**3 + 2*a**4 + (0 - 2 + 5)*(-9*a**4 - 2*a**4 + 15*a**4).\nAnswer: 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84 and -1182015.\nAnswer: -99289260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 361*i - 45679. Give t(128).\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i + 0*i)*((0 + 1 + 0)*(0 + 1 - 3) - 5 + 1 + 2 + 5 - 3 + 0)*(4 - 2 - 1)*((9 + 2 + 4)*(0*i + 0*i + 2*i) - 2 + 3*i + 2).\nAnswer: -132*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*f - 11 - 24 = 0, 0 = 2*f - 4. Suppose -4*x + g = -35. Suppose 3*c + 5*u - u = 11, -5*u = 4*c - x. Calculate the remainder when 25 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, o: 3}. What is prob of picking 1 o and 2 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 7*f + 0*f**2 - f**2 - 7. Let p be d(5). What is the units digit of (0 + 1)\/(-1 - p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2)\/1 - 5. Let f = 19 - 7. Let m = f + s. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.403865532 rounded to 3 dps?\nAnswer: -1.404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/5 - 16*m**4\/5 + 36*m**3\/5 - 32*m**2\/5 + 2*m = 0 for m.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 44. Let a = 5 + w. Suppose 2*u - 3*c - 139 = 0, 5*u + 0*c = -a*c + 338. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/118 and 55\/14?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6218138 (base 10) in base 14?\nAnswer: -b7c12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1195 = -5*r, 4*b - 1108 = 2*r + 90. What is b rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32.523 and 1.\nAnswer: 33.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -618, -619, -618, -615, -610, -603, -594?\n\"Answer: s**2 - 4*s - 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 4. Let p = -4 - -7. What is the closest to 1 in 0, n, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2*33\/66)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 285598 + -173629. Suppose 0*i - 4*i = 3*w - 167928, 3*i + x = 2*w. Suppose -g = -3*j + 27985, 0*g - 4*j = -2*g - w. Round g to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.01, -49, -3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4809404?\nAnswer: 2, 751, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 27 + (32 - 48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*34763212.\nAnswer: 69526424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*m - 14, -3 = -b - 2*b. Let i = 3 + m. Suppose i*q + 8 = 4*q, 3*l = q + 10. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1378794 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 y = 2 - 2. Let w = 2 + y. Let z = 251\/2310 - 2\/231. Which is the second smallest value? (a) 0.4 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1235565306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6256334 is divided by 190?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.938 + 7. Let m = 0 - b. Round m to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 - 520 = -4*p. What is the remainder when p is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -569\/4 + 142. Which is the nearest to 0? (a) 4 (b) -1\/2 (c) -30 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174*o*v**4 - 2*o*v - 9989*o - 1114681*v**5 + v - 300 wrt v?\nAnswer: 2088*o*v**2 - 22293620*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -4, 10, -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3157012, -3156985, -3156910, -3156763, -3156520, -3156157, -3155650, -3154975?\n\"Answer: 4*l**3 - l - 3157015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/3)*f**(-2\/3))\/((f*(f\/(f\/((f*f*f**(2\/3)*f)\/f*f))*f)\/f)\/(f\/(f*f**(-13)))) assuming f is positive.\nAnswer: f**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Let a(t) be the third derivative of -t**8\/20160 + t**5\/15 + t**2. Let k(c) be the third derivative of a(c). What is k(p(f))?\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1. Let l be (-4*1 - (-5 + 1))\/(-3). Suppose b + 1200 - 1203 = l. Let z(a) = 11*a - 3. Determine b*r(k) - z(k).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11851840 by -44.\nAnswer: -269360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(1 - 1 + 2*v) + 0*v - 3*v + 5*v + (6 - 1 - 1)*(2*v - v + v).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2360*1706.\nAnswer: 4026160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 850 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000099157 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -10. What is the units digit of 2\/(b\/((-54)\/(-4)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*y + 15 - 3 + 562*y.\nAnswer: -3*y + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 80802, 80826, 80866, 80922, 80994, 81082?\n\"Answer: 8*q**2 + 80794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 8 (b) 1\/1129 (c) 6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is -50 != -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -585645?\nAnswer: 585646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 244\/30 - (-8)\/(-60). Solve 3*q = 2*o - d, 4*q = -o + 2*q + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 o when three letters picked without replacement from oooooooooiooo?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 666.5442 kilometers in millimeters?\nAnswer: 666544200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -537 in -1, -0.6, 1\/4, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/12 + 7*z**3\/6 - z**2 + 14*z. Give v(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (315\/42)\/((-11)\/(-44)). Solve 5*o + 0*z + 5 = 3*z, -5*o = 4*z - j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-284)\/(-288)*-3 + (-6)\/(-2). What is the smallest value in 1, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58895610 divided by -3926374.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*q - 1268. Let d = q + -224. What is the greatest common factor of 40 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -1cab?\nAnswer: 1cac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1, -30, -3.9724 in decreasing order.\nAnswer: 0.1, -1, -3.9724, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116 (base 8) to base 6.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -534 + 540. Let z be 5*k\/40*4. Solve 5 = -4*c + z*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2. Let q(r) be the first derivative of r**3\/3 - 3. Let l(a) = 3*q(a) - x(a). Let n(j) be the second derivative of -j**4\/12 - j. Give n(l(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -690 divided by 42?\nAnswer: -115\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*z + 5453 = 0, 2*k + 0*z = 2*z + 3638. Suppose 22*r - 2073 = k. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1104 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1597 - -1597. Let u(j) be the third derivative of n*j**3 + 0 + 6*j**2 + 1\/12*j**4 + 0*j. Let t(i) = -2*i. Calculate -2*t(a) - 3*u(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - 7*z. Suppose -146*h - 310 + 18 = 0. Let b(g) = -15*g + 5*g**2 - 29 + 29 - g**3. What is h*b(a) + 5*l(a)?\nAnswer: 2*a**3 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u - 47*u - 74*u = 874 - 64 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g - s + 5, -2*g = -s. Calculate the lowest common multiple of g and (-2)\/6 + 62\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1443 take away 11294620.73?\nAnswer: -11296063.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -73 - -40604?\nAnswer: 40541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + 21. Let n = -25712 + 25881. Calculate the remainder when n is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.04 - 0.04. Let i = -0.15 - 4.85. Let j = t + i. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 7*l = -h - 20, -5*l = -2*h + 35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + f**2 - 3*f + 3. Let m be b(2). Let t = -2 - m. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z + 5. Let l(u) = 6*u - 4. Give -4*l(m) - 3*r(m).\nAnswer: -6*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2470, -2598, -2810, -3106, -3486?\n\"Answer: -42*l**2 - 2*l - 2426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*(4*(sqrt(2448) + 5*sqrt(2448)*1))**2*3)*1.\nAnswer: 25380869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + -3. Let u be 394\/10 + (-9)\/x. Let t be (-95)\/(-50) - (-4)\/u. Solve 2*i - t = -0*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - 75\/(-10))\/(3\/360). Is k <= 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3. Suppose 5*w - 2*w = s. Suppose w + 0 - 2*h**2 = 0. Calculate h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64553*2.\nAnswer: 129106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -40 + 40 - r. Let d(i) = -53*i**2. Give j(d(b)).\nAnswer: 53*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1030636?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 425 + -2139\/5. Let b = -1\/2 + h. Let k = -17989\/60 + 914\/3. What is the common denominator of k and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29593?\nAnswer: 101, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*p**2 + 7*p**2 - 5*p**2 - 4*p**2 in the form y*p + s*p**2 + c and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 5, 15, 19, 11, -15, -65?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 5*i**2 + 26. Let b(q) = -4*q**2 + 27. Calculate -5*b(r) + 4*v(r).\nAnswer: 4*r**3 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950238163.\nAnswer: 7, 11443, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q + 64. Let g = -3225 - -3212. Give a(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1909 (base 12) to base 13\nAnswer: -14c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 + (-30)\/26. Which is the smallest value? (a) -2\/9 (b) l (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117*f**2 - 1 - 158*f - 7*f**2 + 1 - 113*f**2 wrt f.\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/22 - (-572)\/968)*62.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -5, 105.\nAnswer: -5, -2, 0, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6517?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5dd (base 16) to base 15.\nAnswer: -6a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*(sqrt(539) + 0 + 4))**2 + -4 + 5.\nAnswer: 1400*sqrt(11) + 13880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -14 - (1 + 3 + 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 i when three letters picked without replacement from {i: 3, t: 4, u: 2, q: 2, z: 2}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6*-11)\/(359\/1077)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j. Suppose 0 = -4*q + 7 + 21. Let v(l) = -7*l**2 - 21*l + 6. Let o(h) = 8*h**2 + 22*h - 7. Let z(b) = q*v(b) + 6*o(b). Determine z(m(g)).\nAnswer: -4*g**2 - 30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 16508 and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 860 - 857. Let r(o) be the first derivative of -4\/3*o**j - 24 + 3\/2*o**2 - 1\/4*o**4 - 5*o. Calculate r(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9*b + 305. Let n be d(-20). Solve n*f - 120*f = 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 488 and 6588?\nAnswer: 13176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -734458, -1468917, -2203376, -2937835?\n\"Answer: -734459*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {l: 1, n: 2, t: 1, g: 5, b: 1, i: 3}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1947, 1969, 1991, 2013, 2035?\nAnswer: 2057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -1002111022210102211?\nAnswer: 1002111022210102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 1:42 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 1. Suppose 18 = -3*k - r - 2*r, -4*r - 17 = -3*k. Let n be -2*(-8)\/(1 - k). Let w(o) = -o**3 + 8*o**2 - o + 9. Let q be w(n). What is l(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -105*w**2. Let h(m) = 42*m + 63. Let j(b) = 20*b + 28. Let g(l) = -4*h(l) + 9*j(l). Calculate z(g(x)).\nAnswer: -15120*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35900457, -71800915, -107701387, -143601879, -179502397, -215402947, -251303535?\n\"Answer: -s**3 - s**2 - 35900448*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5311626.6114 and -19.\nAnswer: 5311607.6114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*u**5 - u**4 - 19*u**3 + 5099*u**2.\nAnswer: -2940*u**2 - 24*u - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 5. Let p be s(-15). Solve -p = -5*z, -b + 0*z + z = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154608564 to the nearest integer?\nAnswer: 12434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -109*v - 2. Let o(j) = -17*j**2 - 3*j**2 + 3065437*j - 3065437*j. Determine o(s(g)).\nAnswer: -237620*g**2 - 8720*g - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1\/3)\/(4\/47244)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 - 9?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/17 + 42*w**2\/17 - 162*w\/17.\nAnswer: 2*w*(w - 3)*(2*w + 27)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 54 = 8*x. Suppose 8*k - x*k = -4. Solve -5*o + 4*o - k = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20211.699ms in minutes?\nAnswer: 0.33686165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14083121 and 9749853?\nAnswer: 126748089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1743278, -3486512, -5229692, -6972812, -8715866, -10458848, -12201752?\n\"Answer: n**3 + 21*n**2 - 1743304*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 19*d**2 - 2. Let j(i) = -8 + 26*i**2 + 1 - 2*i**2 + 25*i**2 + 7*i**2. Give -2*j(o) + 7*x(o).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/72 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/16*(-16)\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0044238 and 0.023.\nAnswer: -0.0001017474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 108*h + 65. Is n(24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(0*b - 3*b + b) + (-10 - 7*b + 10)*(-22 - 2186 - 423) to the form j*b + o and give j.\nAnswer: 18419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5 = 2*h - 7*h, -3*y + 19 = 5*h. Determine v so that 2*v**2 - 2*v**2 - 3*v + h*v**3 - 2 + 2*v**2 + v = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(68))**2 + sqrt(68)\/(sqrt(4)*-3) + -4 + 5*(sqrt(68) + sqrt(17)) + 4.\nAnswer: 32*sqrt(17)\/3 + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*s**2 - 76*s**2 - 56*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -441, -753, -1041, -1305, -1545?\n\"Answer: 12*r**2 - 348*r - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147*c**2*y**2 + 4*c**2*y + 28*c**2 - 2*c*y**5 - 2*c*y wrt y?\nAnswer: -294*c**2 - 40*c*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/7)*(k*k\/((k\/k**(1\/5)*k)\/k))\/k)**(5\/3) assuming k is positive.\nAnswer: k**(22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 - 15.3473535301.\nAnswer: -143.3473535301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.5 or -702702.7?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21636520 and 9717?\nAnswer: 3239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.5, -0.1, 1024679 in increasing order.\nAnswer: -0.3, -0.1, 0.5, 1024679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20580720 divided by -1372048?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 - (-2 - 2)) - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, l: 1, q: 1, o: 1, m: 1}. What is prob of picking 1 o and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.9 and 142.\nAnswer: 142.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 10:40 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4 + sqrt(1008) + 5)**2 + sqrt(1008) + (sqrt(175)*3 + sqrt(7) - sqrt(7)) + -5.\nAnswer: 243*sqrt(7) + 1085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -971.54537 (b) 4 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -294 by -106.\nAnswer: 147\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 10309892.\nAnswer: 10309891.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44839 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8843\/7 - -1263. Which is the closest to -0.7? (a) 2\/21 (b) -7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*3*-6 + (sqrt(27) - (sqrt(27) + -2)) - ((sqrt(270)*1)\/sqrt(9))\/(-4*sqrt(10)*1 + sqrt(10)).\nAnswer: -53*sqrt(3)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23434 (base 8) to base 3\nAnswer: -111201211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:31 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -256035 by -17.\nAnswer: 256035\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n + 22*n + 1177 = 331 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(2 + 20\/(-5)) + (-200)\/56.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.032 + 0.16.\nAnswer: 0.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5 + 145*g**4 - 1360*g**3 + 4280*g**2 - 5840*g + 2960.\nAnswer: 5*(g - 2)**4*(g + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 - -37068.\nAnswer: 36987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/15)\/(2\/(-5)) + 3. Suppose 4*i + z*j + 33 = 181, -j = -i + 37. Which is bigger: 34 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39506161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95077 and 18402?\nAnswer: 570462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30504 and 252216?\nAnswer: 10340856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126 - -281. Let j(y) = -v - y + 155. Let k(s) = -18*s**2 - 6. Let q(h) = -54*h**2 - 17. Let x(l) = -17*k(l) + 6*q(l). What is x(j(i))?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 11, 3, -9.\nAnswer: -9, 3, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3750*v**2 + 4008*v**2 - 7567*v**2 - 637 with respect to v.\nAnswer: 382*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7837*y - 3025085. Give j(386).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**2\/7 - 22*h\/7 + 18\/7 = 0 for h.\nAnswer: 1, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 9 = -3*v. Let p be -2*9\/(-12)*v - 1. Suppose -11 = -9*b - p*b. Let a(z) = z**2 - z + 1. Give a(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5959135490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 6 + 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 2. Let v(i) = 5*i - 13. Let l(z) = 6*v(z) + 39*x(z). What is l(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 8:06 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from islbibbiinlelb. What is prob of picking 1 b, 1 e, 1 n, and 1 s?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 4 - 4)*(5*y - 5*y + 2*y)*(13*y**3 - 10951*y**2 + 10810*y**2 - 14*y**3 + (-3*y - 3*y + 3*y)*(0*y**2 + 0*y**2 - 2*y**2)).\nAnswer: 20*y**5 - 564*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 90.376 and 0.1.\nAnswer: 9.0376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaafaaf. Give prob of picking 2 a and 2 f.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -291*g + 598*g - 306*g. Let v(y) = 2*y**2 + 22. What is v(q(h))?\nAnswer: 2*h**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -8. Let s be 22\/8 - 3\/(-12). Factor -6*k**2 - 10*k - k**s - 3 + 3*k**3 + 2*k**n - 1.\nAnswer: 2*(k - 2)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**2 - q**2 - 8*q**2 + 14*q**2. Let x(y) = -6*y. Give c(x(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 11 - (-4 + -6 + 18 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12286605656 rounded to 5 decimal places?\nAnswer: 0.12287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 8.39?\nAnswer: 8.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15228 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 853058.4km?\nAnswer: 853058400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 869 + -863. Let r = -30 + 25. Sort -3, 0, r, l in ascending order.\nAnswer: r, -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - m**2 - 2*m**2 - 9 to w*m**2 + s*m + u and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccgczvvvvvvmgccm. Give prob of sequence mv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302116934?\nAnswer: 2, 7, 59, 365759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -7) + (-11 - -10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {i: 2, q: 13, s: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.3795363 + 344658.\nAnswer: 344604.6204637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1120 and 2104928.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 11. Let w be r\/((-4)\/(-2)) + -3. Suppose -13 = 3*u - h + 2*h, -4*u = h + 16. Sort u, 1, w in descending order.\nAnswer: 1, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002164353 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-290)\/(-70) + (-2)\/14. Suppose 4*m - 8 = -4*w + 12, -w = -4*m + 20. Suppose w = -d - 4, d = j + 4*d. Solve 0 = -i + b*i + j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -25*t**3 - t**2 - 17*t - 17. Is j(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 + 6*n**2 - 2*n - 1. Let z(q) = q**3 - q**2 + q. Let c(s) = -x(s) - 3*z(s). Let a be c(-4). Let m = a + 6. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 168402 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1.1. Suppose -10 = 2*r + 5*o, o - 7 = -3*r - o. Let k be (-8)\/6 - (r + -7). What is the nearest to k in -1\/3, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvvmvwmevhmvmhemv. What is prob of picking 1 m and 1 v?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4850 + 2722. Let g = 85\/4 + -39\/2. What is the common denominator of c\/384 + (-1)\/3 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(605) + -2)*3 - -5*-1*sqrt(605))*-4)**2.\nAnswer: -235776 - 25344*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 0 + 0 + (l + 3*l - 7*l)*(-2 - 2 + 2) - 4*l + 2*l + l + (-3*l + 4*l + 0*l)*(0 - 2 + 1) + 3*l - 5*l + 0*l + l - 2*l + 6*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3734 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 6:37 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 10)*(-75 + 18*s + 75) + 5 - 5 + 2*s.\nAnswer: 272*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*z - 29 = -4*m - 90*z - 23, 6*m + z - 16 = -3*z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 5*v + 131, -21 = q - 5*v + 6. What is the remainder when 9 is divided by (q\/(-12) + -4)*12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*k + k - 350 = 0, -566 = -5*z - 4*k. List the prime factors of z\/25*10\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 9 + 16)*(1 - 20 + 5)*(x - 4*x + 5*x).\nAnswer: -364*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26591114.\nAnswer: 2, 11, 43, 28109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96795\/434 or -223?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*2 + sqrt(5) + 3*(sqrt(80) - sqrt(5)))**2 + 4.\nAnswer: 3384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1059\/210*(0 - 13). Let s = g - -468\/7. Calculate the common denominator of (345\/16)\/(-5) + -3 + 1 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 71*q**7\/21 + q**5\/20 + 719*q**4\/4 + 2*q - 81. What is the third derivative of x(h) wrt h?\nAnswer: 8520*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*x**2 + 29*x**2 + 27*x**2)*(2*x - 2*x - x**2).\nAnswer: -38*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 0, 43?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - -1 - (-2513 - -2457)) + (9 - 1)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12945300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 16 = 4*j, 0*j = 2*h + 4*j - 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 18 = -2*y + 3*v, 3*y + 5*v - 5 = 0. Let f be (-1 - (-18)\/12)*8*11. Suppose 43*p = f*p - 5. Solve -4*q - 6 = 2*t, 0 = -p*q - t - 2*t - y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -456867 from -0.090213.\nAnswer: 456866.909787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((3 + sqrt(5))*-4)**2 + sqrt(15)\/(1*sqrt(3)) - (sqrt(320) + 1 + 2 - (4 + -2*sqrt(320)))**2).\nAnswer: -2657 + 145*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395 = 5*i - 425 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 - 17 - 6)*((y + y - y)*(3*y + y - 2*y) - 4*y + 4*y + y**2 + 4 - 4 - y**2) as h*y**2 + r + z*y and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -344*v + 276*v + x - 479, -4*x + 5 = v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/10 - -4)*(-12 - -22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -67. Suppose -j*z + q = -86 + 1, -3*z + 2*q + 128 = 0. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -35*o**5 - 3525*o**4 - 15930*o**3 - 8600*o**2 + 3840*o = 0.\nAnswer: -96, -4, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:33 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5*u)\/(u\/(u*(u*u**(-2\/7)*u*u)\/u*u*u)*u)*u**(2\/3)\/u**(3\/5)*(u\/(u**(-1\/5)\/u)*u*u)\/(u**(2\/5)*u)*(u**1)**(2\/33) assuming u is positive.\nAnswer: u**(4482\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 2*t**2 - 2*t**3 + 21*t - 4*t**4 - 20*t - 2*t**2 to a*t**3 + d*t + n*t**4 + w*t**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 95, 1, -3, -1131.\nAnswer: -1131, -3, 1, 2, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9472 = 5*l + 11*l. Let g = 595 - l. Solve 0 = 7*y - g*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 0. Suppose 1069 = 5*o + f*i + i, 863 = 4*o + 5*i. Suppose -17 = 5*v - o. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y + 43 + 1\/12*y**6 + 2\/5*y**5 - 1\/3*y**3 + 1\/2*y**4 - 5\/4*y**2. Factor c(h).\nAnswer: (h - 1)*(h + 1)**3*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**4*q)\/(q*q*q**(-2\/7)))**(-2\/53) assuming q is positive.\nAnswer: q**(52\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 54 + 22 = 0. Suppose -7*c + n = -3*c - 4*d, -3*d + 3 = 2*c. Suppose h = 3*h + c*u - 7, 0 = 2*h - 4*u + 14. Put h, -3, -5 in ascending order.\nAnswer: -5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -22*((-902)\/132 - 1\/(-3)) is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63510 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-39 + 36 - -4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6458, 7098, 7742, 8390, 9042, 9698, 10358?\n\"Answer: 2*z**2 + 634*z + 5822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6784 - -17167. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*2*2)**2 + sqrt(5) - (-1*sqrt(15))\/sqrt(3).\nAnswer: 2*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -18. Let d = -12 - o. Let q = 7\/22 - 1\/2. Which is the biggest value? (a) q (b) d (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 394*f**2 + 2 - 398*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-10) - (-204)\/(-255)*(-5)\/(-2). Let f = 1.2 + -0.2. Which is bigger: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 9. Let j be s(0). Let b(i) = 9*i**3 - 3*i**2 + 3*i - 1. Let k be b(1). Suppose -972 = -k*n - 4*n. Calculate the highest common factor of j and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069 times 0.2?\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1192*c + 8052. Is d(-6) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6174*w**2 - 14*w + 3. Let s(k) = 18521*k**2 - 40*k + 7. Let a(o) = -8*l(o) + 3*s(o). Let g be a(-13). What is g rounded to the nearest ten thousand?\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -4 - 9) + 31 + 35 + -55.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a*a*a*a**(3\/11))*a*(a**(5\/7)*a*a)\/a*(a**(-1))**12)**(-2\/5) assuming a is positive.\nAnswer: a**(356\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 1. Let i = g + 7. Put -2, i, 1\/3 in increasing order.\nAnswer: -2, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 8 + 9)*(0*d - 2*d + 0*d + (-1 - 2 + 1)*(4*d - 2*d - d) + 4*d - 2*d - d + (d + d - 3*d)*(-1 + 1 + 1) - 3*d - 2*d + 4*d).\nAnswer: -35*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1626 at most -860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -117 or -106?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -240\/17 <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, b: 4, h: 3}. Give prob of sequence hh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 9:24 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10112122200 (base 3) to base 15\nAnswer: -159dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n + 715 = 2*n + 2389. Calculate the remainder when 78 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 44 = 7*y. Let l = 4 - 2. Is (-1)\/l + 17228\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 418*b - 5. Let x(o) = -1464*o + 18. Calculate 18*a(k) + 5*x(k).\nAnswer: 204*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 8, u: 4, m: 1, e: 1, a: 1}. Give prob of picking 1 z and 1 e.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = 0. Suppose -2*b = -2*m - 4, c = 4*m - 1 + 13. Sort -2, -5, b in decreasing order.\nAnswer: b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36826969 to the nearest integer?\nAnswer: 6069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -0.4, 2\/1179 in descending order.\nAnswer: 22, 2\/1179, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 - 0.3. Let y = 0.36 + -1.76. Let s = y + -15.6. Is s greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*w = -52, 6*y = 2*y - 3*w + 84. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/40 and -88\/45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/7 - 2116293*f**2\/7.\nAnswer: f**2*(f - 2116293)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1918 - -1917.493. What is s rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.98 + 0.02. Let v = -0.09 - 6.91. Let l = v + 6. Which is the closest to l? (a) 2\/5 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**2 + 13*g. Let k be a(2). Calculate the greatest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 4*r**2 + 3*r. Let z be j(-5). Suppose z = 2*w - 40. What is the remainder when w is divided by 2*3\/3 + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*w + 4. Suppose -z = -w*z - 3*s + 22, z - s = -2. Find the third derivative of -k**2 - k**5 - 3*k**2 + 5*k**z wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and -9.\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5 + ((-36025)\/(-6930) - (-2)\/(-4)) and 60\/77.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 < 22059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8106 + -8106.09. Which is the third smallest value? (a) s (b) 1\/5 (c) -4 (d) -1\/7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j**2 + 4*j + 36. Let u(i) = 3*i**2 - i - 36. Calculate 2*l(b) + 3*u(b).\nAnswer: -b**2 + 5*b - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 386*a - 387*a + y + 3, 3 = 3*a + 3*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 6. Suppose 3*r + 0 = -4*t + 14, 0 = r - p*t + 4. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8314771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27838*j**4 + 23269*j wrt j?\nAnswer: -334056*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5848579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrmm when four letters picked without replacement from pmfxppxmpmmrrpmrpm?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5540998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -38. Let n be (f\/15)\/(1\/5). Calculate the common denominator of ((-3)\/50)\/(n\/(-1070)) and -113\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*p = 57, a + 12*p - 8*p - 5 = 0. What is the remainder when a is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06311 + -0.64061. Round x to two decimal places.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000383966665 rounded to 6 decimal places?\nAnswer: 0.000384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**5 - 2092*t**4 - 4064*t**3 + 37940436*t**2 wrt t.\nAnswer: -120*t**2 - 50208*t - 24384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 81.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/5 of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72.73 + -75. Let h = w + 2.27000052. Round h to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 3. Calculate the smallest common multiple of 18 and (m\/2)\/(-3)*44.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*u**6 + 904621*u**3 + 5*u**2 - 4*u + 58447.\nAnswer: -1680*u**3 + 5427726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-118)\/18 + (-56)\/126.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 38, -3, -70, -169, -306, -487?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -193*z + 812 - 198*z - 198*z + 590*z in the form i*z + v and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f - 4759 + 1101 = 0. What are the prime factors of f?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*v - 20 = 0, 4*p - 5 = 2*p + v. Suppose p*i - 11 = -i. Solve -4*h = -q - i, 0 = 5*h - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grgjiigigirirrgg. Give prob of sequence gjgg.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -816.783 - 7049?\nAnswer: -7865.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -6 (c) -44 (d) -4845 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/4340 and 1\/1027960?\nAnswer: 7195720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*n**3*u + 206*n**3 + n**2*u - 1551*n**2 - 16*n*u + 1 wrt n?\nAnswer: -300*u + 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -27 - -30 - (-38 + 12)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-1 + 1 - 2*h)*(-1016 - 23*h - 33*h + 1017).\nAnswer: -224*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 4*w + 2*w)*(9*w + 6 - 6)*(-1 + 1 - 3).\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from cpcppcppcee.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1043, 3765, 8029, 13829, 21159, 30013, 40385?\nAnswer: 52269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 541429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45657125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 88 = 13*y + 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t - 55 = -196. Solve -3*j + 4 = -t*q + 31, -3*q + 15 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + 11. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -14*j**3 + 2*j**2 + 3*j + 2. Let f be k(-1). Let t be f\/12 - 177\/180. Sort -2\/21, -4\/5, t, -2.\nAnswer: -2, -4\/5, -2\/21, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -5. Calculate the remainder when 23*(-2 + 6 + h) is divided by 100\/6 - 12\/18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16336)\/(-408) + 48\/(-8568)*7?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-21)\/6)\/7 + 9\/2. Which is the third biggest value? (a) -1\/3 (b) i (c) 0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134776 = -32*z + 40*z. Suppose -6*r = -751 - z. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.32 + 0.4. Let d = u - -0.22. Let s = 3.55 + -3.35. Which is the nearest to -3? (a) d (b) s (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32577, 2, 26 in ascending order.\nAnswer: 2, 26, 32577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(15\/(-3))\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4*k\/((k\/k**12)\/k)*(k**(-1\/2)\/k)**7 assuming k is positive.\nAnswer: k**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 3*q**4 + 39*q - 41*q + 288*q**3 - 3*q**2 - 240*q**3 to the form d*q**2 + y*q + f*q**3 + l*q**4 + c and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 + 7*w - 7*w)*(141*w - 290*w + 126*w) + 2*w**4 - 2*w**4 + 3*w**4.\nAnswer: 95*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3150 rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 601*a**2 - 27691*a + 635. Determine j(-644).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z - 15 = 35*z. Let x = 63 - 24. Suppose 0 = 5*k - 6 - x. Calculate the smallest common multiple of k and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186772 divided by 46693.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 30 = n + k, 2*k = -n - 5. Put -21, -1, n in descending order.\nAnswer: n, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -26. Let h be (-1)\/(-10*l\/12). Factor h*j**2 + 9\/5*j**3 + 0*j + 3\/5*j**5 + 0 + 9\/5*j**4.\nAnswer: 3*j**2*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 600 and 72545800?\nAnswer: 217637400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 113069017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/50 and 149\/15684210?\nAnswer: 78421050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44631 + 19066 = 2206*z + 27379 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -306*v - 308*v - 300*v + 912*v. Let c(t) = 6*t. Determine -4*c(k) - 11*d(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 565707 a multiple of 807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 46*v + 1775. Let u be r(-25). Solve -5*t + 4*y = y - 22, t - 5*y = u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 2298, -8 in decreasing order.\nAnswer: 2298, 5, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**6\/6 - 4*g**5\/5 + 159*g**2 - 219. Find the second derivative of a(f) wrt f.\nAnswer: -20*f**3 - 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**5\/2 + 108915*i**4\/2 - 493261173*i**3 - 18314651259*i**2 - 193127947731*i\/2 - 276365046717\/2 = 0. Calculate i.\nAnswer: -31, -3, 18171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - 6 + 21*h**2 + 25*h**2 + 257*h**2 - 4*h in the form l + i*h**2 + p*h and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2059*b**3 + 56 - 100 + 44)*(-1 + 0 - 2).\nAnswer: -6177*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1432412.\nAnswer: 2, 358103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.16 + -4.84. Let k = -0.2 + 0.1. Let h = -18\/7 + 15\/7. Which is the nearest to k? (a) -3 (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*u + 58423 - 396229 = -112*u. What are the prime factors of u?\nAnswer: 2, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 29637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 105 (b) 1438 (c) 5 (d) 0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -40, -4, 20 in decreasing order.\nAnswer: 20, 3, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17808, -17782, -17756, -17730?\nAnswer: -17704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 216*p + 216*p as f*p**2 + k*p + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c + 4 = 19*c. Solve c*y - 3*y - 5 = 5*g, 4*g = 4*y + 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109 + -15. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6816366325298*v**4 + 61343899841667*v**3 + 61146419595*v**2\/2 + 20316025*v\/4 + 1125\/4.\nAnswer: -(v - 9)*(30098*v + 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 8*q - 10. Let f be n(-5). Let r = 1 + -1. Let x = f + r. Is 6 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209920, 839690, 1889306, 3358768, 5248076, 7557230, 10286230?\nAnswer: 13435076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 651, 15, 5, -1.\nAnswer: -5, -1, 5, 15, 651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3564)\/8835 - (-5)\/((-75)\/(-6)). Let s = 1148\/8835 - i. Calculate the common denominator of 131\/6 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 175 = -5*p, 70 = 2*a - 0*a - 2*p. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 2. Let l = i - -5. Let g = l - 0.1. What is the closest to g in 4, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 14 = 2. Let l = s + 4. Suppose 2*y = 3*y - 3. What is the closest to 0 in y, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1733, 3419, 5053, 6635, 8165, 9643, 11069?\nAnswer: 12443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 64?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 314 (b) -0.07 (c) 0.2 (d) 4 (e) -511\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29831124 and 408.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*j - 12*j**3 + 234*j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4230 divided by -846?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -185 or 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3984 (base 11) to base 9.\nAnswer: -7078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7 - -21) + -12 + (19209 - (1 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35144 (base 7) in base 15?\nAnswer: -29ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 295304354, 295304355, 295304356, 295304357, 295304358?\n\"Answer: w + 295304353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.7 + -0.7. Let k = 2.0000076 - i. Round k to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdbnbndw. Give prob of sequence dbd.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -29*d**2 + 7*d**2 + d**3 - 15 + 27*d**2 + 9*d + 15*d**2. Does 11 divide x(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 12*v**3 - 5*v**2 + 6*v - 2. Let o be f(2). Let u = 179 - o. Let p be 2\/((-10)\/(-43)) - u\/155. Let m(z) = -z + 5. What is m(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76881678 and 602.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 - 15 - 2*u**3 + 3.\nAnswer: u**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/10)\/(112\/(-20)) and -35\/348.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 291 - 294. Which is the nearest to u? (a) -2\/5 (b) 0 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12417\/8 + -1552. What is the common denominator of p and 90\/(-56) - (1 - -1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5918 + 1524 = 2*r. Suppose 3*k + 5*x - r = 0, -4*x = k - 5*x - 1251. What are the prime factors of k?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 10*b**3\/3 + 2*b**2 + b + 3. Is p(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 - 14362302699?\nAnswer: -14362302700.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4878*w - 2. Let q(u) = 680*u**2. What is s(q(l))?\nAnswer: 3317040*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 - 18*w**2 + 105952*w - 63558880\/3.\nAnswer: -(w - 308)**2*(w + 670)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -180727424 and -290612.\nAnswer: -181018036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4, 1, -0.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/28*-64)\/((-12)\/210)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - a**3 - 3*a**3)*(-4*a**2 + 5*a**2 - 3*a**2 - a**2 + 2*a**2 - 2*a**2 + (-1 + 1 - a)*(-2*a + 1 - 1) - a**2 - 2*a**2 - 2*a**2).\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*q + 98*q + 76*q**2 + 11*q**2 - 86*q**2.\nAnswer: q**2 + 312*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6172)\/6)\/(3\/(-225)). Let q = c + -2237935\/29. Let b = 14929\/638 + q. What is the common denominator of b and -95\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**2 + 2 + j**2 + 3*j**2 - 1. Suppose -4 + 1 = -3*s. Let p(w) = w**2 - w. Let h = 50 + -48. Determine h*p(f) + s*v(f).\nAnswer: f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -32, -97, -170, -227, -244?\n\"Answer: 4*m**3 - 28*m**2 - 9*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 0*r + 3*r + (3 - 7 - 9)*(-2 - 8*r + 2) + (-r - 3*r + 5*r)*(6 - 5 + 1).\nAnswer: 108*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2830100000 to the nearest 1000000.\nAnswer: 2830000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*l + 8, -l = -2*r + 8. Suppose -6*o + r*o = -740. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 14*c = -2334. Suppose c = 4*u + 45. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1505 + 1505 + 43*a to m*a + h and give m.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 4*u - 4*k - 6 = 0, -5*k = 0. Let q be -4*(-2)\/4 - 18*u. Suppose 5*y + 3*g - 34 = 0, 5*y + 0*y - 5*g - 10 = 0. Solve y*i + 13 - q = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4, 3*v = -0*v + 4*i + 17. Suppose l - v*l = 2*p - 14, 4*p = 12. Solve -l*w - 4*q + 5*q = -13, 2*w - 3*q = -1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17180, -16804, -16452, -16130, -15844, -15600?\n\"Answer: -u**3 - 6*u**2 + 401*u - 17574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*l - 176 = 111, 3*l + 371 = 4*b. Let d = 131 - b. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and 103139.\nAnswer: 134080.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 13176 = 20*n. Suppose -23*w - n = -26*w. Let r = w - 281. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 357 and 88959878?\nAnswer: 266879634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**3 - m**3 - m**3)*(4*m**2 - 8*m - 9*m**2 + 4*m**2).\nAnswer: -2*m**5 - 16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 5*u - 1. Let p be g(-4). Suppose -18 = -p*o + 9*o. Suppose 7*t - o*t = -30. Solve 2*w + 0*w - 5*q + t = 0, 0 = 5*w + 4*q - 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5231876 - -9593469. Let j = -2111593 + m. Round j to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 2:25 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -12, -12*a + 9 = -f - 11*a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 612685 divided by -677?\nAnswer: -905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/21691, -1\/3, -0.2?\nAnswer: 1\/21691","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 688, 973, 1272, 1597, 1960?\n\"Answer: 2*p**3 - 5*p**2 + 286*p + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - 104\/(-16))*-1132. Let g = 756 + s. Calculate the lowest common multiple of g and 20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a - 9*a - 45*a**3 - 35*a**2 + 30*a**3.\nAnswer: -5*a*(a + 2)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -103289.\nAnswer: -5\/103289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05816, -0.2, -2, -3.\nAnswer: -3, -2, -0.2, -0.05816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 23003?\nAnswer: -22332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 3*s**2 + s + 4. Let p be r(2). Suppose -3*h = -2*t + 7 - 195, -4*h = p*t - 232. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6276 + -3476. Round l to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 99660 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -111, -0.5, -0.1, 2\/7, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/9*3)\/(3\/(-6)). Put 7, f, 1 in descending order.\nAnswer: 7, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -30.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 5*r**3\/3 - 5*r**2 - 114*r + 4199. Find the first derivative of u(x) wrt x.\nAnswer: 10*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 2*t**2 + 2*t + 9. Let m(o) = -o**3 + 2*o**2 + 2*o + 7. What is -4*m(d) + 3*x(d)?\nAnswer: d**3 - 2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 205297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -512, -5, -7 in descending order.\nAnswer: 4, -5, -7, -512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 61 - 525. Let o = w - -55. What are the prime factors of (-4 - o)\/((-2)\/48)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.024772 litres in millilitres?\nAnswer: 8024.772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -148 - -7?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49869147 is divided by 340.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**5\/15 + u**4\/2 - 4*u**3\/3 + 5*u**2\/2 + 20*u. Let i(y) be the first derivative of a(y). Suppose i(l) = 0. What is l?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/34? (a) 0.4 (b) 1\/18 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 17*r + 28. Let o be d(-7). Let a = o + 96. What is the second derivative of 12*v - 49*v**a + 54*v**5 - 19*v wrt v?\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*b = -371*b - 455 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.00437336 and 0.06.\nAnswer: 0.05562664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1367374.1 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n - 2*a = 10, a - 1 = 0. Let x = -1 - n. Solve 2*y = 3*h - 1, -x*y + 0*h - 3 = -3*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1913*b - 132*b + 547*b + 7*b in the form a*b + s and give a.\nAnswer: 2335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-6)\/24*-3). Let s = 14 + -13.7. Let w = 81\/4 + -20. Which is the closest to -3? (a) w (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.3 - 3. Let j = 378 + 523. Let w = -896 + j. Sort 4, w, x in decreasing order.\nAnswer: w, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -979, -3372, -7345, -12904, -20055, -28804, -39157?\nAnswer: -51120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-604)\/151 + 6 + (2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 = 3*k, -3*z + 3*k + 5 = 2*k. Solve -a - 3 = -3*w - z, 4*a - w - 14 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 15*b**2 + b - 1. Let w be v(1). Suppose r - w = -4. Calculate the remainder when 31 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -105, -2997, -11671, -29019, -57933?\n\"Answer: -482*g**3 + g**2 + 479*g - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1\/8 (b) 0.4 (c) 4.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2\/6 + 86*v\/3 - 6667\/6 = 0.\nAnswer: 59, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 15 = 5*a. Suppose -a*z = 5*d + 1546805, 3*z + 245860 = -d - 682227. Let y = 569363 + z. Round y to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -22*k**3 - 285*k**2 + 15736*k - 209. Calculate o(-34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-4)*(-20)\/(-60)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y - 2. What is t(-6)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 take away -11?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46c00 + 68?\nAnswer: -46b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 555, 1109, 1675, 2259, 2867, 3505, 4179?\n\"Answer: s**3 + 547*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1773 by 197.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/131, -0.1, -3, 0, -2\/5 in descending order.\nAnswer: 6\/131, 0, -0.1, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 5)\/(2\/6*-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 30*p + 15. Let u be m(14). Let q(n) = -349*n + 82. Is q(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206190288 - -495269410. Let p = 144679122 - i. What is p rounded to the nearest 1000000?\nAnswer: -144000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1167211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -665*z**3 - 616*z**2?\nAnswer: -3990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12070593 divided by -4509.\nAnswer: -2677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**3 - 4*u**2 - 6*u + 1. Let t be (-6)\/(-10)*150\/18. Let o(a) = -7*a**3 + 5*a**2 + 7*a - 1. Let z = -11 - -15. Give t*i(v) + z*o(v).\nAnswer: 2*v**3 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23*6\/(-48)*8?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9471341\/8 - 1181803. Let f = 2120 - s. Find the common denominator of -13\/10 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 + 9*v**3 + 135*v**2 + 459*v + 486.\nAnswer: -(v - 18)*(v + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 4*q = 2*o + 15, -5*o + 4*o - 2*q - 5 = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/24 and 23\/6688.\nAnswer: 20064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 416?\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*y - 4*g, 2*y - 5*g + 20 = -y. Let t(j) = 4*j**3 - 2*j**2 + 7. Let x(d) = -2*d**3 + d**2 - 4. What is y*x(a) - 3*t(a)?\nAnswer: -2*a**3 + a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22b6 (base 15) to base 2\nAnswer: -1110011001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -247 + 263. Solve -v - z = 8, v = -5*z - 40 + f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/2)\/1 - 14\/(-5). Let v = -400 - -6802\/17. Sort v, 0, b in ascending order.\nAnswer: 0, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-24)\/(-80)*15865\/2394 and -131\/546?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774*l - 58334 = -91*l + 9283 for l.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 15*m**2 - 27*m + 13. What is i(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -318575 divided by 15\nAnswer: -63715\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooropppopporppo. Give prob of picking 3 o and 1 p.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676.909 rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 1488423*x = 1488420*x + 22, -3*x - 2 = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.064551 and 22714.16.\nAnswer: 22714.095449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 - 3*b**3 - 2*b**3 + 24*b**3 + 29*b**3 - 18*b**3 + (-3 + 3 + b**2)*(0*b + 3*b - 2*b) as d + m*b**3 + l*b + j*b**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -28 + -5 + -55 + 44\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 25*b**2 + b - 1. Does 6 divide d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -678 - -680. Let h(x) be the first derivative of 0*x + 1\/2*x**2 - c*x**4 + 7 + 0*x**3. What is the second derivative of h(w) wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5 + 9 - 81*c**3 + 80*c**3 - 2*c**2 - 6. Let p(b) be the first derivative of b**4 + 7*b**3\/3 + 7*b + 43. Calculate 7*n(v) + 2*p(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*b = -227*b + 63932. Find the common denominator of (2\/16)\/(1\/(-18)) and -2*((-4)\/26 - b\/(-2288)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.95 + -0.95. Which is smaller: a or 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*u = -16 - 2, a - 5*u + 21 = 0. Suppose 354 = -i + 3*i - 3*h, 2*i + a*h - 368 = 0. Let w be i\/(-63)*(-1)\/((-4)\/(-14)). Is w greater than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - c**2 + 3*c**2)*((4 - 5 + 8)*(-2 + 1 + 0) - 6 + 2 + 3 + (1 - 1 - 2)*(2 - 3 + 2))*(2 - 2 - 2*c).\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**3 - 6*z - 16*z - 2 + 3*z**3 + z**3 + 13*z**2. Let p(d) = -2*d**3 - d**2 - d - 1. Let j(h) = -2*p(h) + s(h). Factor j(n).\nAnswer: 5*n*(n - 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(8) + 3 - (sqrt(64)\/sqrt(2) + -4))*1)**2.\nAnswer: -32*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 12740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/139 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 1. Let b be p(3). Solve 4 = -0*d - 4*d + b*c, -4*d - 20 = 4*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16708.\nAnswer: 2, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 0*i**2 + 5 - 5 - 13*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. Let w = 61 + -61. Solve g - i = 4*i + 22, j*g + 4*i + 26 = w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2166582.37 rounded to the nearest 10000?\nAnswer: 2170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*u - 19 - 71 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 154. Let r be o(42). What is the highest common divisor of 28 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k + k**3 + (4*k - 3*k - 2*k)*(3*k**2 - 4*k**2 - k**2).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1, -99, -4, -8, 0.1, -301?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/5)\/(((j*j**(-5)*j*j)\/j)\/j)*(j**(-5\/6)\/j)\/j*j**(-3\/8)*(j**(3\/5)*j**(-6)\/j)**(-20) assuming j is positive.\nAnswer: j**(15479\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6727, -6725, -6725, -6727, -6731?\n\"Answer: -v**2 + 5*v - 6731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -5*g. Let u = 3 - g. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -42. What is the closest to j in 1\/3, 0.1, 0.01?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30345.\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.13 + -0.87. Sort 1\/4, -0.2, d, 5 in ascending order.\nAnswer: d, -0.2, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrr when three letters picked without replacement from {h: 5, v: 2, r: 2}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -188 + 198. Let h(w) = 70*w. Let u be h(1). What is the greatest common factor of u and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -45*p**2 + 19*p + 23. Let t(k) = -38*k**2 + 18*k + 21. Let o(j) = -6*t(j) + 5*w(j). What is o(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1830.798139 to zero decimal places.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 4. Let y be -2 + 6 + (-1 - 0). Let s(b) = -2*b**3 - 88*b**2 + 487*b - 146. Let k be s(-49). Put -4, x, k, y in descending order.\nAnswer: y, k, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 83 = -2*k, 3*v = 2*k - 6*k - 243. Let d = 141 + v. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + -4 + (675 - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*m - 134 + 134 - 66*m**2 + 58*m**2 - 8*m**3 - m**3.\nAnswer: -9*m**3 - 8*m**2 - 112*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -234246*d. Let r(o) = o**2. Calculate n(r(j)).\nAnswer: -234246*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 - 12*u + 25. Let g(j) = j**2 - 6*j + 12. Let k(m) = -2*a(m) + 5*g(m). Let s be k(-7). Solve 4*n + 6 = -10, s*n = -4*r - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/(-80))\/(2\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 529 divided by 217712?\nAnswer: 529\/217712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 22*b - 24*b + b**2 - 3 + 0 - 10. List the prime factors of a(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 6*b = -27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2 - -0.2. Let b = 3 + m. Let u = -3 + b. Sort 1\/2, u, 5.\nAnswer: u, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**2 + 2745*b + 2750 = 0. Calculate b.\nAnswer: -1, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2*sqrt(95)\/sqrt(5) + sqrt(95)\/(sqrt(5)*-1) + sqrt(19))**2 + (-1 + (sqrt(475))**2)*1.\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19829, 79304, 178427, 317198?\n\"Answer: 19824*k**2 + 3*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 0.2, 5, -4080136 in descending order.\nAnswer: 5, 3\/8, 0.2, -4080136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*(b**11*b)\/b)\/b))**(-3\/4)\/((((b\/b**(2\/9))\/b*b)\/b*b*b)\/(b**(-14)*b)) assuming b is positive.\nAnswer: b**(-131\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 20 + 68 = 0. Let q = k + -8. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9524*s**3 - 29930*s**3 + 10190*s**3 + 10200*s**3.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b + 22*b + 2645 = 114*b for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-433 + 433 + 100*o)*(2*o**2 + 1 - 1) + 4*o**3 + o**3 - 4*o**3 to the form h*o**3 + f*o + k + x*o**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 5*w**2 + 2*w - 11. Let g be h(6). Let s = 32 + g. Which is the second smallest value? (a) 1 (b) s (c) 4.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -141, -282, -423, -564, -705, -846?\n\"Answer: -141*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*t - 3*i - 272, 0 = 5*t + 4*i - 652. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.11 and -90020.9522.\nAnswer: -90021.0622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 100*g**2 - 97*g - 371. Let o be w(101). What is the greatest common factor of 6754 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6145 (base 8) in base 7?\nAnswer: -12152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.79 + -1.09. What is j rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32088, -32081, -32072, -32061, -32048, -32033?\n\"Answer: x**2 + 4*x - 32093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -432 - -851. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(5\/6)\/(o*o*o*o*o*(o\/(o*o\/o**1))\/o*o)**(1\/2) assuming o is positive.\nAnswer: o**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.86 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/119785? (a) -6 (b) 3\/2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40db (base 14) in base 7?\nAnswer: 44364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 133, 132, 131, 130, 129?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 83*j + 0 - 46*j - 1 + 3.\nAnswer: 37*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -474, -844, -1230, -1638, -2074?\nAnswer: -2544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9549085 and 37975.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = -1, -2*f - 2*a = -182. Suppose -15*o + f = -40. Let n(z) = z**2 - 7*z - 6. What is n(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 150*m + 155.\nAnswer: -5*(m - 1)*(m + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 497619?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*k = 161*k - 90 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-70)\/21)\/((-2)\/(-3))*-1. Factor 5*w + 9*w**2 - a*w**4 + 6 - 5*w**3 - 16 + 11*w**2 - 5*w**2.\nAnswer: -5*(w - 1)**2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**25\/r*r)\/r)**24 assuming r is positive.\nAnswer: r**576","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -960 - -2060. Calculate the common denominator of -41\/4 and 4\/6 + y\/(-192).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1424 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/7 - (-119232)\/41216?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22, -31, -40?\n\"Answer: -9*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 6. Let v be l(10). Let x = v - -19. Let w = -15 + x. Solve w = -t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/60 - k**4\/4 + 7*k**3\/6 + 3031*k**2. Suppose q + 5 = -2. Let o = 0 + q. Determine n(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j + 2*j + j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1557880 and 1547.\nAnswer: 141767080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.188 - 0.188. Let w = l - -0.2. Let k be ((-6)\/25)\/(6\/(-20)). What is the smallest value in 5, w, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*o - o. Let w = -32 - -37. Suppose 3*z - 34 + w = -2*d, 2*z = 2*d - 4. Calculate the lowest common multiple of d and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1503928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*r + 1 = 0, 2*a + 3*r - 37 = -42. Suppose 21 = k + 4*k + 3*x, 3*k + 2*x - 12 = 0. Let i = -7 + k. Sort i, a, 0 in increasing order.\nAnswer: i, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2301225 is divided by 459763.\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -4, 277, 3, 35, 52 in decreasing order.\nAnswer: 277, 52, 35, 3, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 6. Suppose 32 - 4 = 4*f. Let z(r) = -r**3 + 8*r**2 + 6. Let v be z(f). Calculate the greatest common factor of s and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5 = 3*g, 0 = -3*r + 2*r - 3*g + 1. Suppose 19*t + 134*t + 56*t - 627 = 0. Calculate the highest common divisor of r and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39532511543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10628803711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + 0.7. Let x = 9\/4 + -2. Which is the third smallest value? (a) x (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 0*k**3 + 11*k + 0*k**2 + 21 - 21\/4*k**4. Differentiate i(w) with respect to w.\nAnswer: -63*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*y**4 + 13*y**3 - 1662*y.\nAnswer: -264*y**2 + 78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + (-6 - -1))\/((-15)\/(-35)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 126605*q - 1772475. Calculate s(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 929533182?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 310108 minus -44?\nAnswer: 310152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 780175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.9 and 127.\nAnswer: -749.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-3)*(5 + -2 + -3). What is the closest to j in 1, 0.03, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/11)*k*k)\/k**(-6))\/((k*k**(-1\/2)*k)\/(k*(k\/k**(5\/4))\/k))*(k**0\/k*k)**(-26)\/(k\/(k*k**(-1\/7))*k\/k**(-2\/13)*k) assuming k is positive.\nAnswer: k**(20561\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-10)*((-45)\/(-10) - 7). Suppose s*p = -4*r + 3072, 3 = -5*p + 13. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 1 - 2)*(-2 + 1 - 2) + 2 - 5 + 2 - 1 + 4 - 1)*(-6 + 2 + 3)*(2*s**3 + s**2 - s**2) to d + c*s**2 + i*s**3 + y*s and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40246 is divided by 10061.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 1:42 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.2 - -68?\nAnswer: 59.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v + 24 = 0. Suppose -2*c = 10, 8*r + 55 = 3*r - 4*c. Let s = r - v. Are s and -1\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1979859603?\nAnswer: 3, 19, 37, 151, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2 = m, 5*r + 14 = 3*r - 2*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 404918803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -36, 489, 5, -3, 9 in descending order.\nAnswer: 489, 9, 5, 2, 1, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -582303.5*0.1.\nAnswer: -58230.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 378 = -r. Let o be (46\/(-14))\/(-1) + (-36)\/r. Suppose -21 = -3*c - 4*n, -3*c - o = -0*c - 4*n. Solve -2 = -c*b + 5*b - 2*s, b + 5*s = -19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/18)\/((-5)\/(-1))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5360?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + (0\/2)\/(-4). Suppose -q*w = -80 + 8. Suppose -11*j + 108 = -w*j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-37 - (-74 - -33)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(-4 + (sqrt(1053)*2 - sqrt(1053))*-6 - -6*(2 + sqrt(1053))*-6)*-2)**2.\nAnswer: 8273664*sqrt(13) + 268310592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 22. Suppose -2*s + w = 2*z, 5*z + s = 2*s + 11. Let p be 16\/1*(2\/(-8) + 0). Which is the second smallest value? (a) p (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-2)\/(-144)*(-100)\/(-75)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4569979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 31 = -9*m, -5*j + 936 = 2*m + 937 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1245 and 2924007?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149 + -93. What is the highest common divisor of 28 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 - -62.9. Sort -0.14, -0.5, 4, a.\nAnswer: -0.5, -0.14, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 9 = 1. Suppose k = 3*y - 14. Solve -y = f - 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.749991 millilitres to litres.\nAnswer: 0.003749991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1066, -2135, -3204?\nAnswer: -4273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 28 = -0. Let o be 6\/(-21) - 46\/p. Solve -14 = -o*x + x - 2*m, 13 = 3*x - m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + 0 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18, -33, -56, -87, -126?\n\"Answer: -4*o**2 - 3*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = 2*a + 2, 3*a = 5*i - 20. Let s(t) = -i*t**2 + 4 + 0 + 5*t**2 - 2*t**2 + 6*t. Let d be s(5). What is the highest common factor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163.86 + -164. What is the closest to 0.1 in 0, d, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o - 1. Let j be i(5). Suppose -3 + 17 = -2*h - 5*n, h - 4*n = j. Suppose h*b = -30 + 120. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(272) - (-3*sqrt(272) - sqrt(272) - sqrt(272) - sqrt(272))))\/(-5*sqrt(8)*3 - sqrt(8)))\/((6*sqrt(12)*1)\/((sqrt(60)*-3)\/sqrt(10))))**2.\nAnswer: 7497\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1691239, 3382519, 5073851, 6765241, 8456695, 10148219, 11839819, 13531501?\n\"Answer: b**3 + 20*b**2 + 1691213*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1193*c + 1218*c = 6700. Solve 0 = -5*f - 233 + c for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 18*a**2 - 92*a + 159. Calculate p(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*j = -265*j - 1740. List the prime factors of j.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11*d. Let b(u) = -23*u + 17. Let p(k) = -4*k + 3. Let q(l) = 6*b(l) - 34*p(l). Give i(q(t)).\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.40138 times 3.308\nAnswer: 1.32776504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*o**4 - 3*o**3 + 60*o**2 + 10 wrt o?\nAnswer: 3072*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g + 2. Let w be (2\/(-2) - -2) + 1. Let q(z) = -32 + w*z + 0*z + 34. Determine 3*m(o) - 4*q(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*z + 34030 = 364*z for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**9\/378 + c**6\/360 + 3*c**3\/2 - 17*c**2. Let g(u) be the first derivative of q(u). Find the third derivative of g(a) wrt a.\nAnswer: 480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f**5\/7 - 24*f**4 + 3112*f**3\/7 + 1026*f**2\/7 - 443*f - 858\/7 = 0. Calculate f.\nAnswer: -26, -1, -3\/11, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 10202231320230?\nAnswer: 10202231320231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, -175, -8.7, -193?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence naau when four letters picked without replacement from anuuaunuua?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 - -2)\/(3\/2). Let k be (-5)\/(-2) - x\/12. Let r = 15 + -11. What is the third smallest value in -1\/10, r, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 8 (c) 0.2 (d) -410 (e) 329 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -174498.2 to the nearest 1000.\nAnswer: -174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = -164*t + 145*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 110 = 5*f - 0*k, 5*f = 5*k + 110. Let p = f + 21. Calculate the remainder when p is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 383\/5 - 3059\/40. Sort 0, -1\/8, i, -0.082 in increasing order.\nAnswer: -1\/8, -0.082, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - j = 3*j + 19, 17 = -2*y - 3*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6958 - -6957. Let k be 2\/(-5)*5\/7. What is the nearest to a in -0.2, k, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17290909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 8504928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25820086 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11628*r - 430258. Determine g(37).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1632*t - t**2 + 10558474 - 2*t**2 - 10780426.\nAnswer: -3*(t - 272)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1.625425\nAnswer: 2.625425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 5*k + 2*u + 6, 2 = -u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*s - 3*s. Which is the second smallest value? (a) s (b) -0.3 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2158*y**2 + 5*y**3 - 4*y**3 + 2154*y**2 - 4312*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + o + 10*o + 17*o + 0*o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.3 - 0.7. Sort -5, q, 3, 4\/3 in descending order.\nAnswer: 3, 4\/3, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -16*w + 7. Let f(h) = 78*h - 33. Give -24*d(y) - 5*f(y).\nAnswer: -6*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5700734909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13520 is divided by 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 2*t + 2, -3*t + 5*j + 27 = -6*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 4. Let h(k) = -3*k - 11. Let a(c) = 4*h(c) + 11*s(c). Let x(r) be the third derivative of r**5\/30 + 13*r**4\/12 + 12*r**2 - 20. Calculate a(x(o)).\nAnswer: -2*o**2 - 26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 6 + -1 + 4 + -3 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5124 in -4, -1\/4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -0.1 (b) -565 (c) 2\/9 (d) 3 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/59 in -2\/21, 1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6+202345714551\nAnswer: 202345714557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 - 1. Let u be b(-1). Suppose 56 = u*s - 6. What is the remainder when s is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -1 + (-225 - -195)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -67, 3, -6 in decreasing order.\nAnswer: 65, 3, -6, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -6300647.94 to the nearest 10000.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(36)\/sqrt(4)*-6) - -1*sqrt(343)*5)**2.\nAnswer: 305767\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 8. Let y be v(6). Suppose 2*n + 10 = -0*n, -y*p - n = -317. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1730 (base 9) to base 12\nAnswer: -923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 - -140. Suppose 2*r - 3081883 - 28918117 = m. What is r rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83111 and 506326.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 13*w + 128. Determine s(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 - -20031?\nAnswer: 14412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11656 and 10168?\nAnswer: 477896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.59557 to 0 dps.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + r)*(4 - 4 + 1) - 1 + 1 + r to the form m + o*r and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 22 - 58. Let h be (-6)\/4*t\/(-30). Suppose 240 = h*r + 4*z, 3*r - 164 = 2*z + 3*z. Is r a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 5. Let b be c(-5). Suppose b = -5*n - 2*j + 6, 0 = n + 3*j - j - 6. What is the units digit of -1 + 2 - n - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1024*25.\nAnswer: 25600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*21\/14*(-2)\/(-30).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqbb when four letters picked without replacement from bqbqghqbqpq?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-283716)\/(-1665))\/(-213))\/((-5)\/2*(-424)\/50)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-8))\/(30\/16). Let m = -97\/309 - 2\/103. What is the closest to -0.1 in m, x, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 2.495915?\nAnswer: 2.895915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*q = -523 - 217 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -411*h - 27. Let q(u) = 29*u. Determine l(q(c)).\nAnswer: -11919*c - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/37125?\nAnswer: 2\/37125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -350000*((-2440)\/14 + 4\/14). What is n rounded to the nearest one million?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006421928 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -28a44 (base 16) to base 5\nAnswer: -20311333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 = -17*h + 2362. Calculate the remainder when h is divided by 69.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60617621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o + 8*o - o - 41*o + 10*o + 14*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28.3 + -27.3. Sort p, -1, 0.4, -9 in descending order.\nAnswer: p, 0.4, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-seven quarters of a meter?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 8*c - 42.\nAnswer: 2*(c - 7)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 897 + -17bee?\nAnswer: -17357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-11 - -51))\/(((-14)\/(-16))\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.0537 + 0.0537. What is the nearest to -0.2 in s, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t - t)*((0 + 3 - 6)*(-t + 5*t - 3*t) + (4 - 1 - 1)*(-429*t - 1192*t - 422*t)).\nAnswer: 4089*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(114)\/(sqrt(6) - sqrt(6)*-2) + (sqrt(190)*-1)\/sqrt(10) - ((-1*sqrt(95) + sqrt(95))*5)\/(1*sqrt(405)))**2.\nAnswer: -20*sqrt(19)\/3 + 301\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(3\/10)*o*o**(-13))\/(o**(1\/15)\/(o*o*o**(2\/13))) assuming o is positive.\nAnswer: o**(-3359\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -243457, -243439, -243421, -243403?\n\"Answer: 18*c - 243475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28988*l - 2754 = 29022*l for l.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (8 - 15)) + (-26 - -10) - -89.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1196\/(-91))\/(1\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -43*z**2 - 56*z - 3. What is x(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3 + 9*q - 1 - 10*q + 5*q**2 - 5. Let n be c(2). Suppose 17*i - 18*i = -n. Calculate the remainder when i is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*f - 21, -7*x = -3*f - 9*x + 14. Let i(r) be the third derivative of f + 0*r**3 - 21*r**2 + 0*r - 1\/12*r**4. Let n(z) = 72*z. What is i(n(w))?\nAnswer: -144*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/309?\nAnswer: 1\/309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 139, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2449644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81516 (base 9) to base 12.\nAnswer: 27059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19, 28, 37, 46, 55?\n\"Answer: 9*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6715 bigger than -6720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -188 in -0.4, -1\/11, 4, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*n - 55 = 4, -c + 2 = 4*n. Let v(i) = i**2 + 10*i + 6. Calculate v(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 4 = -8*y. Let u be (4\/1)\/y - -3. Solve 3*r = 4*f - u, 2*f - f + 8 = 3*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000161172618 to seven decimal places.\nAnswer: -0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 5690*x**2 + 49*x**3 + 95*x**4 - 25*x**5 + 5622*x**2 - 13*x**3 = 0. Calculate x.\nAnswer: -1, 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2762, -2763, -2762, -2759?\nAnswer: -2754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in 0.3, -1\/6, 1, -11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 1263*y - 17. Determine x(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -7. What is the tens digit of ((-207)\/6 - b)*288\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/5 - 49\/((-3528)\/432)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 - 2*v**3 + 3*v**3 - v**2 + v**2 + v**3 + (-v - 2*v + 2*v)*(-4*v**2 - 3*v**2 + 5*v**2) - v + v + v**3 + (v + 1 - 1)*(-v**2 - 2*v + 2*v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (779 - 222*r - 779)*(8 + 0 - 1).\nAnswer: -1554*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314614.\nAnswer: 2, 157307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34501*k + 276519*k + 166822*k.\nAnswer: 477842*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250935.\nAnswer: 3, 5, 16729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 + -35. What is the remainder when s is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 1:31 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 4*l**2 + 4*l + 2. Let m be r(-2). Suppose -m*x = 9 - 93. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -119, -161, -181, -173, -131, -49, 79?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from yyvypyypvyvyvpppy.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 1 + sqrt(2448))**2 + 2 + 3 - ((sqrt(2448) - (sqrt(2448) + -3)**2)*-2 + -3).\nAnswer: 216*sqrt(17) + 4887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 0, -6.7, -4?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 10:02 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -17*c**5\/60 - 19*c**4\/24 - 11*c**2. Find the second derivative of n(t) wrt t.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11965607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -3 (c) -5 (d) -35.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, r: 3, u: 6, k: 2}. Give prob of sequence wwru.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*l**2 + 596*l**2 + 242*l**3 - 143*l**2 - 136*l**2 - 180*l**2.\nAnswer: 242*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 8*g**2 + g - 2. Let o(r) = 5*r - 2. Let u be o(2). Let l be t(u). Let n be (-1)\/(-3) - (-10)\/l. Sort n, 3, 4 in increasing order.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*w - 4*p, 12 = p + 3*p. Let o be 1 - ((-88)\/33 - 8\/w). Sort 4, o, 3 in ascending order.\nAnswer: 3, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3002 (base 4) in base 3?\nAnswer: -21012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*o - 468 = -10*o + 87 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - j - 1. Let v be a(-3). Let s be v\/8 - (-1)\/2. Suppose s*b - 8*b + 65 = 0. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-97)\/582 - -222235*(-2)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in centuries?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2801155, 11204642, 25210461, 44818618, 70029119, 100841970, 137257177, 179274746?\n\"Answer: v**3 + 2801160*v**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23 - 1*(0 + -2). Suppose 4*u - h + 6*h = -p, h = -u - 5. Suppose u = -4*t - 4*l + 52, -3*t + 4*l = 3*l - 23. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 2*f + 7. Let y(b) = -2*b**2 + 12*b - 3. Let c be y(6). Let a be j(c). Sort 3, 1, a in descending order.\nAnswer: a, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-1*3\/15). Let v be (-1)\/(m\/6 - -2). Suppose 0 = l - 0*w - 2*w + 2, v*w + 2 = 3*l. Solve -5*y - 10 = -5*q, 0*y - 4 = -4*q + l*y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68395, 68398, 68403, 68410, 68419, 68430?\nAnswer: 68443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5509 + -5506. Suppose -4*n + 3 = -n. Put -2, -35, n, o in ascending order.\nAnswer: -35, -2, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 12*y + 6. Let o(x) = -2631*x. Calculate f(o(j)).\nAnswer: -31572*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 444*c.\nAnswer: -4*c*(c - 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2480 is divided by 824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715918.\nAnswer: 2, 7, 51137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - -1)\/((-38)\/(86640\/(-90))) is divided by 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -2\/19, 5, 18, 45 in decreasing order.\nAnswer: 45, 18, 5, 1\/6, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -61 + -1 - (-42)\/21. Let a be 1\/(5\/h*-2). Solve -q = 10 - a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 12) to base 7.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -617, -1407, -2517, -3947?\nAnswer: -5697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 0.1, -3\/10, -2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5592652 divided by 1642\nAnswer: -3406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40, -46, -52, -58?\n\"Answer: -6*r - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 452598 by 19.\nAnswer: 452598\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21 + w**2 - 20*w - 6*w**2 + 44 - 23.\nAnswer: -5*w*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**2\/2 + 94825*r\/2 - 94835 = 0.\nAnswer: -18967, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 9*p**2 + 13*p. Let d(h) be the second derivative of -h**4\/6 + h**3\/2 - 3*h. Let a(g) = 9*d(g) - 2*u(g). What is the units digit of a(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 51 = 3*h + 62, 8*v - 75 = -4*v + 3*h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -233605\/461492 - -370\/1021. Let c = 2\/287 + 11759\/1148. What is the common denominator of v and c?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -524 - 439 + 230 + 755*b**2 + 2*b - 331*b**2 + 613*b**2 wrt b.\nAnswer: 2074*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 33. Suppose 4*z = -0*o - 3*o + 153, 3*o + 63 = 2*z. Let r = -24 + z. Calculate the least common multiple of v and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 4*b + 5. Let x be g(4). Let r(d) = 20*d**3 - 14*d**2 - 14*d + 8. Let t(h) = 7*h**3 - 5*h**2 - 5*h + 3. What is x*r(z) - 14*t(z)?\nAnswer: 2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-9)*(-4)\/((-24)\/(-3))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 12:28 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*h = 6*h + 56, -2*h - 18 = -f. Suppose 5*z + 0*z - 50 = 0. Factor -f*o + z*o - o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1300))**2*5.\nAnswer: 200*sqrt(13) + 6520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3507 = 606. Suppose -7*b + 2*b + a = -4853, -a = b - d. Round b to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1096742 divided by 64?\nAnswer: -548371\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1317319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(27\/6)*-3. Let h be ((-12)\/8)\/(r\/4). Suppose -h*a + 4*q + 2 = 0, 5*a - q + 6*q = 15. Solve -f = a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150 + 154 - ((-2 - 0) + 3)) + -88 + 120.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-1083))\/((-2)\/12).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**3 + 64*f**2 + 41*f - 1. Give v(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - ((16 - 12) + -9)) + 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udkhb. Give prob of sequence uk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 977 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4 - 210*z**3 + 11628*z**2 - 62424*z = 0. What is z?\nAnswer: 0, 6, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i**2 - 2*i**2 + 0*i**2)*(-2*i + i - i) - 270*i**2 + 270*i**2 + 341*i**3)*(-8*i - 6*i - 9*i).\nAnswer: -7889*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 499 - -3169. List the prime factors of i.\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559129?\nAnswer: 43, 13003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.5 + 31. Let l = 3.3 - v. What is the biggest value in l, 3\/8, -2\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, -6, -230, 13, 1 in ascending order.\nAnswer: -230, -6, -3, 1, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*f + 5*w, 0*f + 3*f - 4*w + 18 = 0. Let i(r) = 36*r**2 - 4*r - 3. Is i(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(14\/(-198)) - 6\/3. Let o = v - 94. Solve o*j = j - 3*f - 21, -4*f = j + 23 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 - 5*u**3 + 10*u**2.\nAnswer: -5*u**2*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b - 31*b - 362 = 0. Let y = 441 + b. Let j = 29 + -9. Calculate the remainder when y is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268100?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6390.54 micrometers?\nAnswer: 0.00000639054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 8. Let a be (0 - 0\/(-1)) + d. Let i = -2 + 0. Sort 3, i, a in descending order.\nAnswer: a, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20548857*f*n + 32898*n + 45 wrt f.\nAnswer: 20548857*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -90 in -0.2, 3, 4, -0.5, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.096417*315.\nAnswer: -345.371355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1834 - 4?\nAnswer: -1838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**3 + 6*y**2 + y - 2. Let k(b) = -4*b**3 - 5*b**2 - b + 2. Calculate -5*h(t) - 6*k(t).\nAnswer: 9*t**3 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/70 and -29\/230.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1)\/(6\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4235) + (sqrt(4235) - (sqrt(4235)*4 + sqrt(4235))) + sqrt(4235) + sqrt(35))\/sqrt(5))**2*-5.\nAnswer: -15435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-0.7\nAnswer: 0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3035427947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -3*k**5\/100 + k**4\/10 - k**3\/10 + 8*k. Solve f(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 284851 - 284851 - 7921*y - 6623*y in the form z + s*y and give s.\nAnswer: -14544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -682*-0.0888.\nAnswer: 60.5616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 295 = -229. Sort -3, z, -8 in increasing order.\nAnswer: -8, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*u + 12 = -0, 2*x + 6 = 4*u. Factor 8*y**4 - y**2 - 5*y**5 - y**3 + 2*y**2 - x*y**2.\nAnswer: -y**2*(y - 1)**2*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1 - 6 + 1 - 3*x. Let j = 0 - 8. Let i be v(j). What is the greatest common divisor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/11 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -1126*x - 14. Let r be p(11). Round r to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4014)\/(-12))\/(0 - 10). Let u = -135\/4 - t. What is the common denominator of (-1 - (-7)\/28)\/((-12)\/(-83)) and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bb (base 12) to base 4\nAnswer: -2033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 506679 to the power of 1\/2, to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10 + 5 = 0. Let s be 1*f\/6*8. Let c(h) = 4*h - 2. What is the least common multiple of 14 and c(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2622\/115)\/38*10\/2*-2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*f = -2*f + 28, -14 = 2*o - 5*f. Is 1258 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*z + 235 + 500 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 637*a**2 - 46*a - 187. List the prime factors of q(-4).\nAnswer: 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99.93 + 100. Let o = 345\/7 - 49. Which is the second smallest value? (a) o (b) -6\/11 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267958551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3738 and 3.\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.1 (b) 1 (c) 0.5 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/29)\/(t*t**(-33)))\/(t**(-24\/5))**11 assuming t is positive.\nAnswer: t**(12301\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 137*y + 107*y + 2928 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2992 and 816.\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5174 + -5172. Which is the closest to -58? (a) f (b) 49 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 138786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*m = 942, -x - 2*m + 11 + 223 = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*f = 49, -3*l + f + 54 = -f. Let c = 14 + 4. What is the lowest common multiple of c and l?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 27*b - 416. Let f(u) = 4*u - 2. Let r(l) = -3*f(l) + v(l). Let t be r(27). Sort t, 24, 1, 2 in increasing order.\nAnswer: t, 1, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -27*l**2 + 42*l + 24. Let b(g) = -190*g**2 + 295*g + 170. Let m(x) = -2*b(x) + 15*s(x). Factor m(p).\nAnswer: -5*(p - 2)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w + 28*w - 74 = -2*j - 7*w, -5*w + 37 = j for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 2470 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 k be (-14)\/10 + 2 + 66\/15. Solve 5*m - 2*j = 2, k*j = 4*m - 9*m + 30 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/(-189) + 4\/18. Let a(t) be the third derivative of -3*t**2 + 0*t**3 + 1\/8*t**4 + 1\/60*t**5 + 0*t + p. What is the second derivative of a(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijiiijbiijjjjjibbi. Give prob of picking 2 j.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -58536*t. Let a(s) = -13*s**2. Calculate b(a(o)).\nAnswer: 760968*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4723 - -4721. Let x be -4 + 1\/1 - (1 - 6). Put x, i, 54 in decreasing order.\nAnswer: 54, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20956 + 113*c + 20956)*(-10*c - 2*c - 4*c).\nAnswer: -1808*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 14 - 8 = -4*x, -5*r + 65 = 5*x. Suppose 3*o - 10 = -2*o. Let l be o + 0 + (1 - -7). What is the highest common factor of l and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + -1.5. Which is the biggest value? (a) s (b) 0.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 - c + c)*((1 - 5 + 1)*(-4 + 2*c + 4) - c + 7*c + 2*c).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-107 + 107 - 12*v)*(-2 + 1 + 0) in the form u + j*v and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166472?\nAnswer: 2, 20809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*g. Suppose -8*w + 9*w - 77 = g. List the prime factors of w.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**6\/57 + 4*v**5\/95 - 6*v**4\/19 - 80*v**3\/57 - 32*v**2\/19 + 5665. Factor h(f).\nAnswer: 2*f*(f - 4)*(f + 2)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and 39825.\nAnswer: 995625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 17*n**3 + n - 1. Let j be f(1). What is the third derivative of 6*d**6 + 6*d**2 + 17*d**3 + 4*d**2 - j*d**3 wrt d?\nAnswer: 720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 4*q. Let h be 1 - ((-3 - -2) + q). Suppose -l = 2*n - h, n + 27 = 2*l + l. Calculate the greatest common divisor of l and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eodm when four letters picked without replacement from doenm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/16))**(-3\/7) assuming z is positive.\nAnswer: z**(-3\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 11676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0 = 24. Let a = -76.7 - -77. Sort v, 3, a.\nAnswer: a, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - d + 2*d)*(4*d + 8*d + 0*d + (4 - 3 - 2)*(-d - d + d) + 20 + 5*d - 20 - 4*d + 1 - 1).\nAnswer: 70*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m - 6, 5*m - 18 = t. Let i(j) = -2*j**3 - 4*j**2 - 1. What is the tens digit of i(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5104\/132 - (-3)\/(-27)*(-19)\/((-19)\/6).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0)*(1 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-14)\/3)\/14)\/(5\/(-6)). What is the nearest to 0 in 0.1, -3, 1\/6, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**3\/3 - 7*h**2 - 43*h + 1260. What is c(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((9 - 9)\/(2 + -4))\/(-1). Suppose -w + 1 = 2*n, 3*n + u*w = -2*w + 3. Let o(x) = -4*x**2 + 1. Determine o(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -2 + (-182217)\/(-30). Let c = w + -6065. Calculate the common denominator of c and 43\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1038 and 10\/897.\nAnswer: 310362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(11) + 5 + sqrt(99) + sqrt(11).\nAnswer: 8 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -20111110111?\nAnswer: -20111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -1\/66*m**4 + 0*m**3 - 3*m**2 + 0 + 0*m + 1\/330*m**5. Factor v(g).\nAnswer: 2*g*(g - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 480024, 960055, 1440086, 1920117, 2400148, 2880179?\n\"Answer: 480031*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.34 in 23, 0.3, 0, -6\/5, 6?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -2*b**5\/5 + 7*b**4\/2 - 8*b**3\/3 - 12*b**2 + 181. Factor h(y).\nAnswer: -2*y*(y - 6)*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/432*6\/149?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96448738?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82\/2*1819\/5457.\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -67*s**2 - 7*s - 5. Let v(m) = -200*m**2 - 19*m - 14. What is -11*n(h) + 4*v(h)?\nAnswer: -63*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000088094 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404483622.\nAnswer: 2, 3, 67413937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -54 (b) 186 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 5)*(-4)\/(-12). Let f be (-2 - 0)\/(-2) + v. Suppose f = 3*k - 143 + 29. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/28*(-15)\/75)\/(20\/14)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 - -84. Let h = n - 1.3. Sort -5, -1, h, 6\/5.\nAnswer: -5, h, -1, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9403.542ug in milligrams?\nAnswer: 9.403542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, z: 6, a: 6, d: 4}. What is prob of picking 1 z, 1 o, and 1 d?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -38, -42, -58, -92, -150, -238, -362?\n\"Answer: -v**3 + 3*v - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 372294 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:58 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 891.913 millimeters to meters.\nAnswer: 0.891913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2\/11 - 3880*z\/11 - 19350\/11 = 0.\nAnswer: -1935, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (315\/(-56))\/(-15)*24\/(-18).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211.193 - -22?\nAnswer: -189.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + t. Let u(w) = -119*w**2 - 102*w - 17. Let k(s) = u(s) + 102*x(s). What is the first derivative of k(f) wrt f?\nAnswer: -34*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -212220, -211904, -211588, -211272?\n\"Answer: 316*k - 212536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(648) - sqrt(648)*-2) - (sqrt(648) - (sqrt(648) - (sqrt(648)*2 + sqrt(648) + sqrt(648))*4) - sqrt(648) - sqrt(648)))\/(-2*-4*-3*sqrt(81)).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**6\/300 + n**5\/50 - n**4\/30 - 3*n**2\/2 + 3. Let t(r) be the second derivative of f(r). Factor t(i).\nAnswer: -2*i*(i - 2)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) - 6\/(-9). Let c(h) = -3*h + 0*h**2 + u*h**2 + 15 + h**2 + 2*h. What are the prime factors of c(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -5*l + 2*h + 30, 14 = -3*l + 5*h. Let y be 1 + (l - 1*87). Find the common denominator of y\/22 + (1 - 2) and -61\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = o - 1475, 42*d = o + 44*d - 1517. Calculate the highest common divisor of 86 and o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 20600, 2, 51, -2 in ascending order.\nAnswer: -2, -1, 2, 5, 51, 20600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46472989?\nAnswer: 47, 107, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 + 5*q**2 - 9*q + 5. Let k(d) = 3*d**3 + 9*d**2 - 16*d + 9. Give 7*f(v) - 4*k(v).\nAnswer: 2*v**3 - v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7065731 (base 8) to base 7\nAnswer: 21555241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1754210833?\nAnswer: 59, 29732387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 15*u**3 + 2*u**2 - 1. Let t(o) = -o + 15. Suppose a + 4*j - 6 = -0*j, -10 = -a - 2*j. Let s be t(a). What is the tens digit of v(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*v + 127*v + 132*v - 65*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/104 and -67\/4807216.\nAnswer: 62493808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 15.3. Let s = 0.2 - c. Let t = 1.156 + s. What is t rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 880 - 264. Suppose -s = 6*s - k. Let z = s + -61. Solve -4*m = -3*m - 5*w - z, 3*w = 5*m - 25 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15736890 by 6.\nAnswer: -2622815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127946 = -4260*x - 661*x for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1382053619 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-50 - (22 - 29 - 15))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-350)\/(-280)*20\/(-84)*14\/175?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9 + 0.9. Which is the second smallest value? (a) s (b) -4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -139*s + 143*s - 56, 3*z + 3*s - 75 = -3*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -9 - (0 - -3) - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + 10 + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 0)*(4 - 5). What is the greatest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -352, -1637, -3794, -6829, -10748, -15557, -21262, -27869?\n\"Answer: -c**3 - 430*c**2 + 12*c + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**19\/l**38*(l*l\/l**(-32)*l)**(-26) assuming l is positive.\nAnswer: l**(-929)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/16905 and 86\/759.\nAnswer: 185955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 607275\/182 + -6673\/2. Is -1 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6\/103 + 79\/412. What is the nearest to f in 0.5, -0.3, 12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 2*l - 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 - 241 = 53*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 494293 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: Collect the terms in -13*i**3 + 304974*i - 304974*i + 10*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/5 - 8*z**2\/5 = 0. Calculate z.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -329.5405467 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q*q*q**(4\/35)*q)\/q*q\/(q\/(q*q**(1\/7)*q)) assuming q is positive.\nAnswer: q**(184\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.46 + 4.48. What is the smallest value in -9\/5, o, 3\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a week in hours?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78379558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**2 - 57*w**3 - 8*w**2 - w**2 + 55*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 154604189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 133*y - 4. Let b be i(-4). Is -4 + (5 - 2 - b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 2 = 5*b + 3*c, 6 = -2*b + 5*c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*u - 22 = 0, -v + 4*u + 6 = -10. Let z = v + 0. Solve 3*i - 14 = b + 1, z*b + 4*i = 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 89*r**2 + 57*r + 2. What is the lowest common multiple of n(-1) and 14?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*v + 3*k, 2*v + 3*k + 4 = k. Let w be -1*(-2 + (v - 2)). Solve w*j + 5*f = -5, 0 = 2*j + f + 4*f + 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 50?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -28, -38, -48, -58?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 + -663\/5. Which is smaller: -1.8 or y?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 28\/(-22) - 17277100\/(-748) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3387222, 3387225, 3387228?\nAnswer: 3387231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 86*o**3 + 59806*o**2 + 84260*o - 283152 = 0.\nAnswer: -694, -3, 68\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 248e3d (base 15) to base 2\nAnswer: 110101011100110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*f - 1. Solve 4*z - 3*t + t - f = 0, z - 3*t = 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 - 23 + 22 = 4*j, -9*l = -2*j - 78 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - -2) - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:26 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*3 + sqrt(637))**2 + -3 - (sqrt(117) + -1 + sqrt(117) + -3).\nAnswer: -6*sqrt(13) + 10193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**3 + 82*f**2 - 32*f + 296. What is the tens digit of z(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypnt when four letters picked without replacement from {p: 2, t: 1, a: 3, z: 5, y: 2, n: 7}?\nAnswer: 7\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 = 176*i - 448 - 737 + 13 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {v: 3, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 299*n**2 + 185*n + 243. What is the ten thousands digit of f(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-3)\/(2 - 1) + 0)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -5. Suppose 3*s + 20 = o*s. Suppose -4*u + 2*a - 45600009 = s*a, -2*a - 57000006 = 5*u. What is u rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -234*(-2)\/18 - 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - (18 + -25 + -17) - (-18 + 0)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359278?\nAnswer: 2, 17, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 0*v + 17 = 2*v, 112698*g + 8*v - 14 - 10 = 112695*g + 47 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -867\/2 + 11267\/26. Let m = -1.94 - -2.1. Sort 3\/7, d, -5\/6, m in decreasing order.\nAnswer: 3\/7, m, d, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + sqrt(11))**2 - (sqrt(11) - ((sqrt(11) - (2*(2 + sqrt(11)) - sqrt(11))) + sqrt(11)))**2.\nAnswer: -106 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 54*n = -32*n - 15588, 0 = -5*x - 4*n + 38613. Is x a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**3 + 2*u**4 - 3*u**3 + 12*u - u**3 - 2 + 2*u**3 in the form q*u + d*u**2 + n + i*u**3 + a*u**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 1. What is the second derivative of -16*a + 18*a + a**2 - a**2 - 3*a**q wrt a?\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3454 divided by 1?\nAnswer: 3454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107910, 107912, 107914, 107916?\nAnswer: 107918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**5\/20 - u**4\/4 - 5*u**3\/6 + 2*u**2 + u. Let n be (-108)\/21*560\/(-15). Let d = n - 188. Give q(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 46, 14855, 5 in increasing order.\nAnswer: 5, 46, 14855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -10*i. Let k(b) = 6*b + 12. Let v(g) = -2. Let j(y) = -k(y) - 6*v(y). Give f(j(u)).\nAnswer: 60*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h, 0*h = -2*a + 3*h + 24. Suppose -4*p + 69 = a. Suppose 6*l - 3*l = p. Solve w - q = -l, -2*q + 8 = 2*q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -681 = 4*x - 1833. What is the highest common factor of 192 and x?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 8:47 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 0, -6, -2 in ascending order.\nAnswer: -6, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**3 - 5*i**2 + 3*i - 2. Let y = 66 - 64. Let q be b(y). Let j be (-3)\/q + (-238)\/16. Which is smaller: -11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 - 2.03. Let s = u + 3. Let x = -153.03 + 148.03. Which is the fourth smallest value? (a) 0.1 (b) x (c) s (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 50*w + 305. Let p be j(-43). Solve -c + 10 = 4*z, 2*z + p*c - 4 + 6 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 = 0, -4*j - 4*l + 21 = -11. Let g be (15\/j - 2)*-9. Suppose -g*c = -2*c - 3. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/6*(8 + 4). Suppose -b*p + 11 = -13. Let w be p\/(16\/(-6))*4\/2. What is the closest to -3 in w, -0.3, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + t**3 - 3)*(4*t**2 - 2*t**2 + t**2) + 0*t**5 - t**5 - t**5.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280670.\nAnswer: 2, 5, 13, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 1. Calculate a(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/(-6))\/((-17)\/17))\/((-3)\/9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41130 (base 5) in base 2?\nAnswer: -101001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -18*a - 2. Is 3 a factor of o(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11562483 < 11562483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11 + -1)\/(-3)*-2. Let o(y) = -11*y + 1. Is o(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, y: 8, x: 2}. Give prob of picking 2 x and 2 y.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 13*x**2 + 13*x + 20. Let v be o(14). Let s(a) = -v*a - a**2 + 6 - 6. Give s(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**2 + 3077*p\/2 - 615\/2 = 0. What is p?\nAnswer: 1\/5, 615\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5191, -5189, -5185, -5179?\n\"Answer: z**2 - z - 5191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + q + 127*q**3 + 3429*q**3.\nAnswer: 3556*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g + 7. Let n(p) = p + 22. List the prime factors of n(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 10*q - 10. Let h be o(8). Let a = h + -3. Suppose -a*n = n - 88. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (10 - (-9 - -17)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13966 - -293215\/21. What is the common denominator of 19\/3 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 + 248. Does 51 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = -2*d. Let x be 12\/(-33) + (-720)\/440. Sort x, -6, d.\nAnswer: -6, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58296 to the nearest one hundred.\nAnswer: -58300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -112112120210 (base 3) to base 16\nAnswer: -45df2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 2*f**2 + 0*f**2)*((0*f - f + 0*f)*(-f + 4*f - 2*f) + 4*f**2 - 2*f**2 + f**2).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 5) to base 4.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4328681 divided by 618383\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/3553 and -5\/209.\nAnswer: 3553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 2)*(w + 0*w - 2*w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152636229?\nAnswer: 3, 16959581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 less than 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -51. Let c = 2 + 2. Suppose -3*t - 12 = 0, c*j - j + 17 = -2*t. Sort 0, j, a in decreasing order.\nAnswer: a, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594152?\nAnswer: 2, 13, 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10703 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 7. Suppose -g = -b - 1, 0 = -4*g + 9*b - 13*b + 12. Let c(f) = -f + 0*f - g*f + 0*f + 2*f. Give u(c(v)).\nAnswer: -v - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 11*d - 37. What is k(-8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/43271? (a) -9 (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + 2. Let l = w - 28.2. Let m = -3 + l. What is the second smallest value in m, -5, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 12*t + 13. Give d(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -6, 2, -8\/3, -3, -303 in increasing order.\nAnswer: -303, -6, -3, -8\/3, 1\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 272.682 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(119)*-2*5)\/(sqrt(112)*1*1))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**4 - 23*i**4 + 8*i**4)*(-4 - 25 + 7).\nAnswer: 440*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-110*102\/1683.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6041868 is divided by 4285.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(3\/(-9) - 0). Let z be 1*(t - 1 - 4). Calculate the least common multiple of z - (-3)\/(6\/50) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14450 and 64542370?\nAnswer: 322711850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 239 + 60. List the prime factors of a.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46280 by 76.\nAnswer: -11570\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**1*b**3*b*b*b)\/(b*b\/(b*b**(-7)*b)*b*b\/b**4) assuming b is positive.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**1*q)**(-15)*(q*q*q\/(q\/((q**23*q*q)\/q)))\/(q**27*q) assuming q is positive.\nAnswer: q**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 159564 and 824414.\nAnswer: 4946484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 465816?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 3*d + 4*d)*(0 + 2 - 4) + 16*d - 12*d - 11*d + (-5 + 2 + 2)*(-2*d + 2 - 2).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*t - 2932675 = 13*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, b: 15}. Give prob of picking 2 b and 2 d.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 10) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4814606636?\nAnswer: 2, 7, 2953, 58229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*3*6)\/sqrt(7))**2*-1 + (sqrt(11) + 3 + sqrt(704) - (-3*sqrt(132))\/sqrt(12)).\nAnswer: -3561 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -214 - -382. Let k = f - 168.081. Round k to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-11)\/(-40*127\/5080)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -1 - 1615*p**2 + 1612*p**2 - 41*p**3 - 2. Let v(b) = -1107*b**3 - 82*b**2 - 82. Calculate -82*o(m) + 3*v(m).\nAnswer: 41*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 5)*(-2)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8.6, -4\/7, -0.1, -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - -56)*((0 - 6) + 1 + (-351)\/(-65)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a factor of 21895456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7135108 divided by -15998?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*m + 4, 2*u + 3 = -m + 4*m. Suppose u = 2*o - 53 - 109. Is o a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 25*v. Give x(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r**3 - 2*r**3 + 2*r**3)*(7*r - 3*r + 3 - 4)*(1272 + 71 - 251) to u*r**2 + c*r + k*r**4 + p + a*r**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8 and 0.26299?\nAnswer: 8.26299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -3*l - 60, -7*l - 186 = 2*r - 0*l - 75 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -270 or -204715\/761?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**2 - 1030*x = 0.\nAnswer: 0, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 - 2*f**2 + 1. Let a(u) = -19 + 71 - 23 - u - 4*u**3 + 3*u**2 - 30. Calculate -2*a(c) - 3*n(c).\nAnswer: -c**3 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/(-45))\/(0 - 8\/(-12)). Solve y*k - 2\/5 + 2\/5*k**2 - 8\/5*k**3 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4284 and 1386.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 105 = -t, -4*t - 10*p - 3*p + 7 - 38 = -14*p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15*(-18)\/(-324)*(-2)\/10. What is the nearest to 1 in 2\/21, 4, -1\/43, a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 35 + j**4 - j - 17 + 6 to x*j**3 + i*j**2 + b + y*j + z*j**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 + 104313431?\nAnswer: 104313464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2454 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/2*-1 - -2. Let p be 21 + l\/6*-3. Let j = 31 - p. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u - 28. Which is the nearest to u? (a) 2\/3 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56526527*k**4 + 8533465*k + 3?\nAnswer: -678318324*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*r**3 + 20*r**3 - 101*r**3 - 101*r**3.\nAnswer: -149*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/19881 and -43\/106032.\nAnswer: 318096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 144*d**2. Let n(t) = 11*t**2. Let c(v) = -2*b(v) + 27*n(v). Let q be c(-1). Let u(w) = 20*w + 51. What is the tens digit of u(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193.3 + -0.2.\nAnswer: -193.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177448907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-34)\/8 - (-4)\/16. Let h(f) = -14*f**2 - 9*f. Let r(m) = -7*m**2 - 4*m. Calculate a*h(y) + 9*r(y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -60*i + 1800. Let x be f(30). Solve x = 18*n + 8*n - 130 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -0.3, -5, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2576*s**3*z + 542*s**3 - 14*s**2 - 634*s*z - 6*s + 14*z + 686 wrt s.\nAnswer: 15456*s*z + 3252*s - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -31012000101?\nAnswer: -31012000033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.5 - -21. Let a be (-32)\/4 - -8 - 2\/(-11). What is the third smallest value in -0.1, d, -3, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33*g**3*t**2 + 29*g**3 + g*t**2 - 2*t**2 wrt t?\nAnswer: 66*g**3*t + 2*g*t - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -30460155 (base 7) to base 3\nAnswer: -11210200011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-450)\/(-15) - 6\/2. Suppose s = 2*c - 21. Suppose 2*h = -4*n + 134, -126 + c = -3*n - 3*h. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 9 + 2 + 7 + -6 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.35 + -1.55. Let y = z + 2. Let k = y + -0.2. Sort 3, k, -0.3 in increasing order.\nAnswer: -0.3, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**3\/3 - 1452956*h**2\/3 + 43982067812*h - 219898231260 = 0. What is h?\nAnswer: 5, 181617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/70 and -51\/95?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a + 5*y - 3, -38 = -3*a - y. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*f = -202*f - 340*f - 2772 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 239, 238, 237, 236, 235, 234?\n\"Answer: -s + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3968091273 + 24141?\nAnswer: -3968067132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 768\/20352 - (1 + 41\/(-318))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q. Let t be h(4). Let j be (4\/(-16))\/((-6)\/t). Let f = 9.9313 + 0.0687. What is the nearest to f in j, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1314.987887 and -5?\nAnswer: 1309.987887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d - 1 = -23*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlwkwfkfwwwxwrfwrw. Give prob of sequence kfkw.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 16814 = s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 52 + -46 + 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from legqlwgq. What is prob of picking 1 q, 1 g, 1 l, and 1 e?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*16*-4*(-4)\/(-16)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from ttavtvqvqvtjtuvvutvv?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93906039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151787 is divided by 774.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**9)**(-32)*(t**(-7)\/t)\/t**(-4) assuming t is positive.\nAnswer: t**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3835636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 36 = -21*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-6))\/(-1))\/((-10)\/180).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 254*t**3 - 2*t**2 + 2*t - 1. Let j = -17 + 20. Suppose 0*w + w - j*f - 16 = 0, -5*w - 15 = 4*f. Is l(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - 80. Let u = t - -11. Let j be ((-8)\/u)\/((-7)\/(-35)). Solve -2*p + 0*m + 2 = -4*m, 0 = 3*p + j*m + 27 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y. Let f(s) = -22*s. Suppose 62 + 0 = p. Let c(o) = 21*o - p*o - 39*o - 8*o. Let k(g) = 3*c(g) - 11*f(g). Give n(k(d)).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -107843 >= -107839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 0. Let k(d) = d**3 + 11*d**2 + 19*d + 12. Let b be k(u). Suppose b + 33 = 4*q. Let c(i) = -i**3 + 8*i**2 + 7*i + 12. Give c(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4, -1 in descending order.\nAnswer: -1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 - (-5)\/4. Let l = -12.6 + 13. Let g be (-3)\/(-10)*8\/(-3). What is the nearest to c in l, 0.1, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -38, -233, -569 in decreasing order.\nAnswer: 2, -38, -233, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*f**4 - 1597*f**2 + f + 22125 wrt f?\nAnswer: -108*f**2 - 3194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - c + 0*c)*(-420 + 13 - 261).\nAnswer: 1336*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -479, -469, -433, -359, -235, -49, 211?\n\"Answer: 2*f**3 + f**2 - 7*f - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*-2*(-15)\/(-180))\/(23\/(-6)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38595522, -77191042, -115786562?\n\"Answer: -38595520*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87478869*l**4 - 815744*l**2 + 27*l?\nAnswer: -2099492856*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 47772032 divided by 524\nAnswer: 91168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102628 is divided by 808?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1099.584?\nAnswer: -1099.584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -80\/1193, 0.049, -3 in ascending order.\nAnswer: -3, -80\/1193, 0.049, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**3\/2 - 505*z**2\/4 + 8001*z - 3969 = 0.\nAnswer: 1\/2, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 10:27 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 - -5 - (-1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 128*q - 5902. Let i be a(164). Let m = -0.7 + 0.2. What is the closest to 0.19 in i, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 899 - 70*v - 899 to the form w*v + a and give w.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.036 - -0.236. Put 0.4, -0.1, w, -0.12 in descending order.\nAnswer: 0.4, w, -0.1, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 5350022?\nAnswer: 5350012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - 69) + (3 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106715 and 50?\nAnswer: 1067150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2901118.\nAnswer: 2, 11, 17, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 - 0.75. Let o = z + -1.05. Are -0.1 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3129984*c**2 - 4086504*c wrt c.\nAnswer: -6259968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 5*b**2 + 14*b - 8. Let a be x(7). Let n(m) = 2*m**2 + 15*m - 6. Let f be n(a). Let j(c) = 5*c - 3. Determine j(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 s when four letters picked without replacement from ddbbdsbsbsab?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c + c - 4*c - 12*c. Let o(g) = g. What is v(o(r))?\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*r - r + 73, -2*r + 143 = 5*l. Let f = r - 79. What is m in 0 + 0*m**4 + f*m + 2\/9*m**5 + 0*m**2 - 2\/9*m**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1093102 and 3592.05764.\nAnswer: -1089509.94236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 111100?\nAnswer: 1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020 + 2100?\nAnswer: 11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/5 + 78*f + 9513\/5.\nAnswer: -3*(f - 151)*(f + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 9:09 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 4*l + 3 + 32 = 0, 0 = 5*d + 5*l + 50 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-9) - 29\/(-9). Let g(d) = 5*d**2 + 5*d - h - 1 + d**3 + 9. What is the smallest common multiple of g(-4) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/12 + 1\/(-4). Let b = r - -2. Suppose 0 = -b*h - 2*h. Solve h*i = 4*v - 5*i + 2, -5*v = -5*i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1613?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587707763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*a**2 - 1012009*a**3 + 119*a**2 + 113*a**2.\nAnswer: -1012009*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -2\/9, 594531?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 2, 0.\nAnswer: 0, 2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4 + m**3 - 2 + m + 0*m. Suppose -4*a = -38 + 10. Let j(y) = -y + 7 - a. What is -2*j(i) - v(i)?\nAnswer: -i**3 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1850349*l. Let i(d) = 404*d**2. Determine m(i(q)).\nAnswer: -747540996*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103401 (base 8) to base 7.\nAnswer: 202522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**6\/240 + u**5\/40 + u**4\/24 + 8*u**2 + u + 46. Let a(k) be the first derivative of j(k). Suppose a(o) = 0. Calculate o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 4*h + 2)*(-h**3 - 4*h**3 - h**3) to the form b*h**3 + g*h**2 + v + a*h**4 + d*h and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -41. Let y = 44 - i. What is the least common multiple of y and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -19*c**4\/8 + 140*c**3\/3 + 219*c**2. Differentiate s(z) wrt z.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243693 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*m + 6 = 0, -2*j + 2 - 4 = m. Let v be (6 + j)*1\/1. Suppose l - 1 - 20 = o, 3*o = -v. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 970079657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -44.7 (b) 4 (c) -0.1 (d) 3 (e) 5\/7 (f) 5 (g) 1\/62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*t = -86*t + 77. Solve -33 - 2 = -t*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.1, 3, -9\/6346 in ascending order.\nAnswer: -0.4, -9\/6346, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 7*d**2 - d. Let r be a(-1). Let i(k) = -k + 4. Determine i(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8592310.599 less than -114?\nAnswer: 8592196.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 40 = -5*p. Let u = -0.07 - -0.08. What is the nearest to -0.1 in -4, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24598 by -319.\nAnswer: 24598\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 326 and 11899.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3475570 to the power of 1\/2, to the nearest integer?\nAnswer: 1864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/275 + 42\/(-11). Let p be 64\/30 - j\/(-30). Solve -d + 5 = -i - 1, -5*d - 5 = p*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 563*m - 41 + 444*m + 20 as h*m + d and give h.\nAnswer: 1007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 < 491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + 1 + -23 + 336 + -330.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bog when three letters picked without replacement from sobgbsoggbg.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 69*n**3 - 5*n**4 - 69*n**3 + (1 + 3 - 5)*(-n**4 + n**3 - n**3) + (-2*n + 0*n + n)*(n + 2*n**3 - n).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 3. Let b be l(-4). Suppose 3*r - b = 2*r. Solve -d - 11 = -3*u, r = -4*d - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -242036, -241521, -240130, -237425, -232968, -226321?\n\"Answer: 73*i**3 + 4*i - 242113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5406 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/6 and 79\/1582.\nAnswer: 4746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -67*z**2 + 268*z. What is w(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 6*r = -12. Let k be r\/(-12) - 17\/(-34). Which is the second biggest value? (a) -1\/11 (b) 1\/4 (c) k (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9059 - 5.0941. Which is the nearest to -0.2? (a) 0.7 (b) -3 (c) v (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(204) + sqrt(204))\/sqrt(12) - ((-2 + sqrt(17) + 0)**2 - (1 + sqrt(1088) + sqrt(1088))))*-1.\nAnswer: -29*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1210*-21.\nAnswer: -25410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 2. Let h be d(-2). Suppose 0 - h = -2*k. Let t(p) = 2*p**2 - p - 1. Let s be t(4). What is the greatest common divisor of s and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 4*t - 8, -200*r = -198*r + 2*t + 10 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3570.5 - -2916. Let c = -654 - r. Let o(u) = 2*u**3 + 2*u**2 + u - 2. Let n be o(-2). Sort 2, 0.2, n, c.\nAnswer: n, 0.2, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -100, -196, -330?\n\"Answer: -19*v**2 - v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/3 - 772*p**2.\nAnswer: -2*p**2*(p + 1158)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 244*g - 242*g - 16, 3*f = -4*g + 26 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/31, -3\/19, 1, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + (-2)\/(-30))*2. Let j be 2\/(-4) - 10\/(-12). Suppose 3 = -3*t - 0. What is the nearest to j in 0.3, a, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 4*g + 6. Let a be x(-4). Let r be 6\/4*-15*2. Let q be (-18)\/r + 18\/5. Solve -a = 2*w - 2*z - 0, -3*w + q*z = 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19054682 a multiple of 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 112657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 16) to base 7\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8 - (7 - 330\/40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*x + 489, 0 = 4*u + x - 581 - 386. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c + 6. Let s(r) = 11*r - 7. Let d(q) = 88*q - 55. Let m(a) = 4*d(a) - 33*s(a). Give -7*i(z) + 4*m(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18925, 37853, 56781?\nAnswer: 75709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x - 15 = -17*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12101 (base 3) in base 4?\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -153124 (base 8) to base 13\nAnswer: -1bc88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 230, 308, 446, 662?\nAnswer: 974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**3 + o - 1. Determine z(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5*s - 26*s = 15*s - 110 + 33, 4*o - s = -6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 1, w: 1}. What is prob of sequence wbw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + 2*g**4 - 2*g**4 + (2*g**2 + 0*g + 0*g)*(3*g**2 - 3*g**2 + 2*g**2) + g - g + 3*g**4)*(-7*g + 11*g + 10*g).\nAnswer: 84*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 + 2*y**4 - 7*y**4 + (-3*y - y + 2*y)*(2*y**3 + 3*y**3 + 0*y**3)*(-2 - 1 + 4 + (3 - 4 + 3)*(3 + 2 - 4) + 5 - 2 - 2 + 8 - 2 + 0).\nAnswer: -102*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 27*f**2 + 105*f + 564. Calculate y(31).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.78 + 1.7699. What is o rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 5, 0.1491?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 1:08 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - 16*l + 16*l)*(l**2 + l - l).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9068921*m**6 + 5*m**2 - 72718 wrt m?\nAnswer: 1088270520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332756843.\nAnswer: 53, 859, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -669*i**3 - 114?\nAnswer: -2007*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-40)*7\/28)\/(1\/6)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4721\/7766 - 6\/353. Let k = -7742\/5 - -6203\/4. What is the common denominator of k and r?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3370784 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -48. Suppose 5*m - 18 = 5*h - h, 5*h - 21 = -m. Let g be m*1\/3 - t. Solve -g*c - 3 = -1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -984 = -163*x + 320 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m + 3*g = -27, -7 = -3*m - g. Let t be m - (-3 + (-15)\/(-3)). Solve 2*o - 2 = -t*c + 12, 0 = -o + 4*c - 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1254 divided by -3?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from xakkkywkykakkkqax?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3208, -47 in decreasing order.\nAnswer: 3, -47, -3208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7885 and -7?\nAnswer: -5.5195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - 4*m**2 + 2*m. Let a(h) = 3*h**3 + 3*h**2 - 2*h. Calculate 4*a(p) + 3*t(p).\nAnswer: 6*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 0*j + 1 - 1\/3*j**3 + 1\/2*j**2. Let w(k) = -589*k**2 - 2*k + 1 + 296*k**2 - 2*k + 296*k**2. Determine 4*f(a) + w(a).\nAnswer: -a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuff when four letters picked without replacement from {f: 13, u: 6}?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 609\/(-6)*(-4)\/(-11). Let p = 37 + c. Is 0 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1848 and 1176.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3245\/3794 + 1\/542. Factor 2\/7*x**3 + 6\/7*x + g*x**2 + 2\/7.\nAnswer: 2*(x + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.70369 + 0.20369. What is the second biggest value in 1\/14, 7, j, -41?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**3 - 4*p**2 - 8*p**5 + p**3 wrt p.\nAnswer: -480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*63\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41205967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 4*l**2 - 3*l. Let u(f) = f + 2. Let x be u(0). Let j be o(x). Suppose -5*g = -4*i - 1117, -j*g - 5*i + 421 + 6 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1098*z + 4844. Does 49 divide r(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111395939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-41)\/3*3*-1. Let j = m - 24. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9998 (base 13) to base 10.\nAnswer: -21419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 17*q - 4. Let l be d(-18). Calculate the greatest common factor of 462 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 360329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.2, -32, 109, 16 in descending order.\nAnswer: 109, 16, 0.5, -0.2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 14.5. Let m = 8 + k. Let b = -0.5 - m. What is the closest to b in -3, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 93*i**2. Let k(q) = 20*q**2 - 100*q + 25. Let v(f) = f**2 - 4*f + 1. Let g(z) = -k(z) + 25*v(z). Determine g(x(j)).\nAnswer: 43245*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.5 - -0.5. Which is bigger: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 3*m + m)*(2526 - 1266 - 1260 - 9621*m).\nAnswer: -28863*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 521564*s - 521564*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -3*k - 24, -835*k + 24 = -838*k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - 4 + 4)*(2*r**2 + 77 - 77 + 8*r**3).\nAnswer: -24*r**5 - 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45930)\/27558)\/(1\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.7 - 1.9. Let v = w - 6. Which is the second biggest value? (a) v (b) 16 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3974153355?\nAnswer: 3, 5, 61, 482593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 221, 361, 501, 641?\nAnswer: 781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 0, 4*w = 3*x - 6*x - 21 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 31800 and 9.\nAnswer: 31809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1680580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -8 - -10 - (-6 + -38)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187 by -72.\nAnswer: -187\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 - -3)*(-6)\/12. Let c be (-4*3\/(-24))\/(-1)*k. Let y = 6 - 4. Solve -c*f = y*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5 + 7927*m**4 - 15838*m**3 - 95086*m**2 - 110945*m - 39625 = 0. What is m?\nAnswer: -1, 5, 7925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6220 = c + 21876, -20 = 5*j. Round c to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30735*f = -854731 - 1419659 for f.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 6:31 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 15*d**3\/7 - 8239464*d**2\/7 + 136770867*d\/7 + 56026662\/7 = 0.\nAnswer: -2\/5, 17, 549281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 0*i - 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 107 + 94 - 201 - 69*c - 6*c**2 in the form f*c + t*c**2 + a and give f.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/4 (b) 1\/306 (c) 1\/3 (d) -0.1 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2)*-1 + -2 + 1.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2*q + 148 = 4*u, 4*q - 184 = 5*u. Suppose -13 = -t - 2. What is the remainder when q is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194574491.\nAnswer: 9433, 20627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 318*s + 133112. Give a(557).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -919\/6531 - 2\/933. What is the second smallest value in -0.4, 2, v, -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-113)\/(5763\/510))\/((-2)\/4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 2*m**3 + 6*m**3 - 27 + m - m**3 as q*m + w*m**3 + a + l*m**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 - (8 - 8) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 56. Let p = 4\/25 - -13\/75. What is the nearest to p in n, -0.5, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*o + 2*f - 46, o - 22 = -4*f. Solve x + l = o, 0*x - 3*l + 10 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7933 is divided by 1962?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + 0 - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 85*h**2 - h + 1. Does 32 divide k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1695 to the nearest 10.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(-1*sqrt(8)))**2 - (sqrt(40)\/sqrt(5))**2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -6 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -20. Let i = 22 - w. Let n(b) = 7*b**2 + 10*b - 1. Is n(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -14. Let x be (3952 - (d - 0)) + -3. What is x rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 332 and 1660?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2218 - 2060. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -223957\/72 or -3112?\nAnswer: -223957\/72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1365 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*i - 273, b - 2*i + 204 = 5*b. Suppose -b + 44 = -3*j. Solve -4*d + j*d - 4*y = -14, 0 = d - 4*y + 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6487 = -7*g + 20*g. Differentiate 2*q**2 + 508*q**3 - g*q**3 - 45 - 2*q**2 with respect to q.\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7)*n)**(-12\/5)\/(n\/n**(-2\/21)*n**(-3)*n) assuming n is positive.\nAnswer: n**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5 + 4 + 135*u**2 + 1 - 36*u**2.\nAnswer: 99*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1358 and 549796?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s**4 + 2938*s**3\/3 - 634*s**2\/3 - 2938*s\/3 + 652\/3 = 0 for s.\nAnswer: -1, 2\/9, 1, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 90823380187 + -0.5\nAnswer: 90823380186.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69540004 = 2*k - i, -3*k + 0*i + i - 104310004 = 0. Round k to the nearest 1000000.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8718, 1\/11, 1.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 3)*(659*o - 659*o + 21 + o**2) in the form j*o**2 + y + z*o and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -207 and 5131.\nAnswer: -1062117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -562610*k - 3375660. Calculate u(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**5\/60 - 5*j**4\/12 - 2*j**3\/3 - 12*j**2 + 1. Calculate w(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -3*134\/(-48)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 6*o**3 + 4*o + 2 + 6*o**3 - o**4 as g*o**3 + v*o**2 + b*o**4 + x*o + a and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2 - 14720*p + 27084800 = 0 for p.\nAnswer: 3680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 4:58 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0. Let i be 2428\/(-6)*5\/10. Let k = i - -204. Which is the closest to o? (a) -2\/7 (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0469901ug in nanograms?\nAnswer: 46.9901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqz when four letters picked without replacement from {q: 7, z: 5}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-4)\/z*z*z\/(z*z**(2\/11)*z))\/((z\/((z\/((z\/(z\/(z*z\/(z*z**(-1)))))\/z))\/z))\/z)**(-42))\/((z\/z**(-8)*z)\/(z\/(z\/z**(-6))*z))**8 assuming z is positive.\nAnswer: z**(-904\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a + -35a64?\nAnswer: -35a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -102*m. Let d(r) = -1 + 5 - 1 - 3 + 2*r. Calculate d(c(y)).\nAnswer: -204*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 606200 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(480))\/(sqrt(60)\/(sqrt(30)\/sqrt(3))).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0 - 2*h + 0*h**2 + 0*h**5 - 13\/3*h**3 + 0*h**4 - 1\/30*h**6. What is the second derivative of q(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34555?\nAnswer: 5, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + y**2)*(2 - 4 + 1) + (-y - 3*y + 5*y)*(-3 + 3 + 2*y) - 7*y**2 + 0*y**2 - 4*y**2 + (6*y**2 - 4*y**2 - 3*y**2)*(1 - 1 - 2).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.01 (b) -5.6 (c) 4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -134*t. Let w(c) = 77*c. Let y(p) = 3*n(p) + 5*w(p). Let h(m) = -2*m**2 + 0*m**2 - 4*m**2 + m**2. What is y(h(r))?\nAnswer: 85*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l + 10 = 0. Let m be 1 + 1 + 3 + l. Suppose -s + 3 + m = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - b + 1. Let t(s) = -15330*s**2 + 7*s - 7. What is t(q) + 7*v(q)?\nAnswer: -15323*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147 divided by 845033.\nAnswer: 21\/120719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-9)\/((((f\/(f*f**0*f))\/f)\/f)\/f)*f**(-12\/11)\/(((f*f**(1\/4))\/f)\/f) assuming f is positive.\nAnswer: f**(-235\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.235 (b) 5 (c) 3\/7 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -675026 - -0.064.\nAnswer: -675025.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 15*o - 9. Let x(c) be the second derivative of c**4\/12 + 4*c**3\/3 + 5*c**2\/2 + 545*c. What is -6*l(k) - 11*x(k)?\nAnswer: -5*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-102)\/(-4) + (-2)\/(-4). Let j = w - 7. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v = -5*r - 50*v + 5719045, r + v - 1143824 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3206 + -3208. Which is the nearest to -1? (a) 65 (b) k (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.787 and 32.4?\nAnswer: 33.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -89503 - 11\nAnswer: -89514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 10 + 34 = 0. Is (-1)\/(-4) + (-278)\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -12*k + 17*k + 20 - 7*k. Let f be l(10). Solve -4*b + a = -1, -2*b + b - 5*a + 16 = f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/3 + 41327788*x**3\/3 - 41327792*x**2 + 123983380*x\/3 - 41327794\/3.\nAnswer: 2*(x - 1)**3*(x + 20663897)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2 + 5*n - 5. Let l(k) = 18*k**2 + 14*k - 16. Let x = -208 - -191. Let g(f) = x*p(f) + 6*l(f). What is the first derivative of g(a) wrt a?\nAnswer: 12*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 0.1, -42.5 in decreasing order.\nAnswer: 0.1, -4\/5, -42.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537884410.\nAnswer: 2, 5, 153788441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -3*a + 3*a. What is the second biggest value in -1\/3, 0.5, a, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**0*s)**(-29)\/((s*s**(-1\/3)*s)\/s)**(-2\/67))**(-7\/3) assuming s is positive.\nAnswer: s**(81578\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 2*k**2 - k + 38. Let i be f(0). Let w = 41 - i. Solve s + 5 = w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4176 and 504?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000218 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 49. Let n be (-2)\/(-4) - t\/6. Suppose 2*j - 10 = -3*j. Solve -j*a = -q - 9, -n*q + 3*q + 7 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15208000.\nAnswer: 2, 5, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)\/(-4 + 5). What is the smallest value in 0, 20, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11345 and 2049?\nAnswer: -23245905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -374*m + 167. Calculate the remainder when h(-3) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34, -11, 50, 167, 358, 641?\n\"Answer: 3*z**3 + z**2 - z - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 48*h**4 + 24*h**2 - 140?\nAnswer: 192*h**3 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 15450160603352.\nAnswer: 15450160603351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.021, 0.2, -1, 3 in decreasing order.\nAnswer: 3, 0.2, 0.021, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, 0.3, 573.\nAnswer: -3\/11, 0.3, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.9636709 rounded to two decimal places?\nAnswer: 51.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -271*h - 7*h**2 + 271*h. Let a(r) = 7*r + 6. Let j(i) = -6*i - 5. Let u(t) = -5*a(t) - 6*j(t). Give u(f(c)).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3299338*u**4 + 68949859*u.\nAnswer: 39592056*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1005 + 13854 - 59533 = -2804*h + 61878 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -139, -138, -151, -184, -243, -334?\n\"Answer: -g**3 - g**2 + 11*g - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13025 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m - 1. What is n(6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (4 - 7) + -7 - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (478\/1673)\/(16\/7). Suppose -5*i = 5*w, -w - 5*i + 12 = -2*w. Which is the closest to q? (a) -3 (b) 3\/14 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 15*s**2 + 47*s - 63.\nAnswer: (s - 1)*(s + 7)*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x - 12*x - 4*x**2 - 4*x**3 - 6*x**3 + 11*x**2. Let w(r) = 3*r**3 - 2*r**2 + 2*r. Calculate -4*k(n) - 14*w(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004258 rounded to 7 decimal places?\nAnswer: -0.0000426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346964.\nAnswer: 2, 127, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 42. Let d = 22 - w. Is (2 - (-9)\/6)*d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:40 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) - -2*sqrt(304)*-1) + sqrt(304) + sqrt(304) + (sqrt(304) - (1 + sqrt(304)))*6 + (2 + sqrt(304))*-4 + 0)*4*-2)**2.\nAnswer: 21504*sqrt(19) + 187648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + a?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k + 331. What is the remainder when 378 is divided by i(-72)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 19, 20, 1, -50, -145, -296?\n\"Answer: -2*c**3 + 8*c**2 - c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 3\/39)*(3 - 4). What is the closest to b in 0.1, -1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -0.5. Let o be (-3)\/18 + (2\/(-4))\/1. Sort d, -5, o in increasing order.\nAnswer: -5, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (-36 + 13)) + 4 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7972137 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 + 20824*l + 162614616.\nAnswer: 2*(l + 15618)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 20*n**2 + 12*n + 2. Let j be (((-4)\/(-10))\/(8\/(-10)))\/(3\/72). Let i(m) = -8*m**2 - 5*m - 1. Give j*i(k) - 5*r(k).\nAnswer: -4*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -11*n**3 + 1550*n**2 + 142*n + 301. What is r(141)?\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 - (6 + -4 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4693022, -9386042, -14079062?\nAnswer: -18772082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - -33 - ((4 - 2) + -6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -13. Let j(y) = -6*y - 2*y - i*y. Let o(b) = -5*b**2 + 3*b**2 + 4*b**2. Determine j(o(z)).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(-37\/3) assuming n is positive.\nAnswer: n**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-10) - ((-51)\/15 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.22, 1 in increasing order.\nAnswer: 0.2, 0.22, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 1\/12*m**4 + 1\/2*m**3 + m**2 - 3*m + 0. Factor s(t).\nAnswer: (t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-26)\/4)\/((-3)\/6). Let r = -10 + d. Let z(y) = 2*y - 3. Let a be z(r). Solve 2*b + 0*u - 8 = u, a*b - 19 = 5*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/23 (b) -7.2 (c) -1 (d) 1.2299 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(4\/((-8)\/4)). Let t(d) be the first derivative of 0*d + 1\/9*d**3 - 1\/18*d**6 + 1\/12*d**4 - 1\/15*d**5 + y*d**2 + 1. Find o, given that t(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416929.7588 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 15*u - 15. Let r be w(3). What is the highest common divisor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c + 12, 0 = -x - 4*c + 61. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-33 + 33 + 8*k)*(1 - 1 + 1).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4572123127 rounded to 2 decimal places?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80ca51 (base 13) to base 5.\nAnswer: 1231422324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 442*t**2. Let h(x) be the third derivative of -x**4\/12 + 584*x**2 - x. Give m(h(p)).\nAnswer: 1768*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*g + 58*g - 2244 = 193*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0067 or -993?\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/72 - 5872\/(-99). Let w = -8560\/143 + d. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4. Let x be 2\/1 - (-3 + u). Suppose 0 = x*n + 47 + 78. What is the common denominator of n and -13\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -795*i**2 + 2*i + 5. Give d(-1).\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/11 (b) 2\/11 (c) 0.97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x + 12 = 18*x. Let o be 6\/2*(-4)\/x. Let m be (-390)\/(o\/(-400)*-4). What is m rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**7\/140 + x**5\/40 + x**3 - 3. Let a(c) be the third derivative of z(c). Find the second derivative of a(i) wrt i.\nAnswer: -36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 825\/300 - (-9)\/(-12). Find t such that 0 + 3\/4*t - 9\/4*t**x - 3\/4*t**4 + 9\/4*t**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 - -8 - (-1 + (3 - 0)). Let y be p\/(-1) - (-12 - -19). Let u = -13\/2 + 5. What is the closest to u in y, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 11*d**3\/3 - 5*d**2\/2 + 5*d + 1. Is a(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30, 40, 2, 28?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -c - 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*o - 253 + 285. Solve 0 = -4*a + 3*p + 25, -4*p = o*a - 4*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -1.14.\nAnswer: 0.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 27*k + 61. Let n(q) = 75*q + 173. Let w(y) = -6*n(y) + 17*s(y). Let o(x) be the second derivative of -x**4\/12 - 2*x. Give w(o(d)).\nAnswer: -9*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 53335514 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044577686 to the power of 1\/3, to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 60 + 0*f**2 - 7\/4*f**4 + 0*f + 28*f**3. What is the third derivative of r(m) wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17853 (base 12) in base 13?\nAnswer: 12660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/5 - 136*r\/5 - 2312\/5 = 0. What is r?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + -3 + (-70 - -64)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 7*u + 376. Determine z(-18).\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1398 = -23355*p + 22851*p + 618 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 292, 590, 890, 1192?\nAnswer: 1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 182*f**5 - 33*f**3 - 27*f**2 - 23*f - 2 wrt f?\nAnswer: 10920*f**2 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 326684193 divided by -11\nAnswer: -29698563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 698312502 a multiple of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 10 = 4*s + 3*a, -s - 5*a + 13 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -6 + 0*r + r**2 + 0*r**4 + 0*r**3 - 1\/4*r**5. Let k(i) be the third derivative of i**4\/12 + i**2. Determine h(k(o)).\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570033462.\nAnswer: 2, 3, 4931, 19267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 7. Suppose -41 = -4*c + p*q + 45, 117 = 5*c + q. Suppose 4*t - 7 - 26 = 3*i, 2*i + 2 = t. Calculate the remainder when c is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**4\/12 + 2*b**3\/3 - b**2\/2 - 95*b. Calculate z(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 698\/9 - 11860\/153. Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 4. Let c(w) = -2*w - 14. Let y be c(-5). Let d(r) = 1. Calculate y*d(o) + l(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170513 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6589 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(136)*2*-3)\/((sqrt(88) + (sqrt(88) - sqrt(88)*1))\/sqrt(11))*-6*-2)**2.\nAnswer: 528768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, g: 4, k: 2, j: 1}. Give prob of sequence gkk.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-5 + 10)) + (8 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*4\/8*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201 is divided by 101.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 5*j + 5. Let l be f(5). Suppose -25 = -l*q - 0*q. Let m(z) = -4*z + 5. Determine m(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -119 and 19152784.\nAnswer: 19152665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5.25. Let k = j + -12.75. Let z = 13 + k. What is the closest to z in 2, 5\/6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22835358*l**6 - 16579*l**2 - 2*l - 37.\nAnswer: 2740242960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and ((-5 - 1) + 3)*6\/(-9).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/88*6\/5. Let j = a - 37\/88. Let d = -5.6 + 6. What is the nearest to j in d, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.11815 kilometers in micrometers?\nAnswer: 41118150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79937637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m - 8 + 22 + 23*m**3 - 22*m**3 - 6*m**2 + 14*m**2. Let x be (-1 + (-2)\/(-8))*8. What is the remainder when z(x) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -235.7, 20, -0.2.\nAnswer: -235.7, -0.2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2438.\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1189 + -1189.17735. What is c rounded to three decimal places?\nAnswer: -0.177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1609.77 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*j - 1631 - 913 = 82*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00072188 rounded to six decimal places?\nAnswer: -0.000722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -319\/207?\nAnswer: -319\/207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272, -279, -286, -293?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1025 = -2*j + 1697. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 113*f**2 + 7*f - 8. Let o be i(3). Let b = o - 655. Suppose 2*u = -5*m - u + 351, 5*u = 5*m - b. What is the remainder when m is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 23\/38, -2?\nAnswer: 23\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + 1.4. Let d = -17.1 - 109.9. Let n = d + 128. Which is the closest to n? (a) 1 (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.27 + 0.27. Let s = k + 18. Let j = 97 + -101. Put s, -3, j in descending order.\nAnswer: s, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35425017?\nAnswer: 3, 3936113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*1\/(15\/(-72)). Let m = 0 + a. Calculate the highest common divisor of 60 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2933 + 2927. What is the third smallest value in g, -70, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000920698 to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3420*f**4 - 3413*f**4 + 48*f - 3419*f**4 + 10250*f**4 + f**2 - 4*f**3 + 2*f**2 to the form y*f**2 + w*f**4 + b + i*f + v*f**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -130*u**3 - 71*u**2 - 280*u - 210. Calculate h(-1).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23919 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*f**2*g**4*y + 47*f**2*g**2 + 19*f**2*g + f**2*y - 2*f*g*y + 15*g**4 - 3250*g**3*y - 16*g**2 - 2*g wrt g.\nAnswer: 336*f**2*g*y + 360*g - 19500*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 546639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -9*y - 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/3)\/(-2 + (-51)\/(-27)). Suppose -4 = -2*a + 6, -5*a + 34 = g*x. Suppose z - 13 = t - 5, 5*t + 34 = x*z. Solve 4*i - z*l + 0 = 4, 0 = 2*l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -151, -250, -349, -448, -547, -646?\n\"Answer: -99*u - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4616079042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.99 - -3.01. What is the third smallest value in m, -6\/11, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by 134?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1245 - 1101. Calculate the smallest common multiple of 36 and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000042352 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -3 + 0)\/1. Suppose -k + 8 + 3 = j. Calculate the lowest common multiple of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 3. Let o be a(-2). Solve -9 = c + 2*c + o*y, 2*c - 5*y - 19 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 169*o - 22.\nAnswer: 169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**3 + u**2 + u + 1. Let n be f(-1). Let i = n + 2. Suppose i*a - 6*a - 30 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 10\/23, -4\/3, -66\/13, -2\/5, -2\/7, 3\/5, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7391101140*w + 7391101140*w + 21*w**2.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 + 19*h**2 + 2 + 6*h**2.\nAnswer: 30*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629 = 79*y + 147*y + 177 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(0 + -1) - 6. Let z(o) = o + 4. Let l be z(r). Let g(s) = -s**3 + s**2 + s + 34. Does 12 divide g(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 1)*(2 + 0 - 4)*(122*z + 126*z - 89*z).\nAnswer: 954*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 489850 divided by -194?\nAnswer: -2525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -829 < -829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 98407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 380?\nAnswer: 37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 1. Let n(y) = 30*y - 24. Let k(t) = -36*c(t) - n(t). Let b be k(10). Is (-5)\/(-2)*b\/20 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2.3, -54792 in descending order.\nAnswer: 2.3, -4, -54792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8907480 by 16344.\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 7*r + 40. Let z = -20 + r. What is the second derivative of -z*n - 40*n**4 - 8*n + 12*n wrt n?\nAnswer: -480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174131, 696517, 1567157, 2786051, 4353199?\nAnswer: 6268601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -85095*l - 55. Let u be g(1). Round u to the nearest one thousand.\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2676179905.\nAnswer: 5, 7, 79, 967877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b372b1 (base 12) in base 16?\nAnswer: 5877e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*p + 120 + 1 + 479 = 2*t, -p = -4*t - t + 9 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -428\/91 + 34\/7. Let d be -3*(0 + 2\/(-21)). Put d, l, 1\/5 in decreasing order.\nAnswer: d, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-780))\/((-2)\/(-78))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 510, 4, 365, 23 in decreasing order.\nAnswer: 510, 365, 23, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (4 - 6) - -5 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - b)*(2 - 4 + 3)*(-4*b**2 + 4*b**2 + 3*b**3) + (0*b**3 - 6*b**3 - 2*b**3)*(0*b - 5*b + 3*b).\nAnswer: 22*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3)*d*d*d\/(d*d**(-1\/26)*d)*d)\/(d**(1\/3)*d**(-5)\/d) assuming d is positive.\nAnswer: d**(183\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 372305357 and -4.\nAnswer: 372305353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7911.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 6:11 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/2900 and -91\/119020?\nAnswer: 17257900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44\/242 + ((-6851)\/11)\/(-1). Suppose -36*q + 25 = -l. Solve 4*i = 2*o - q, 6*i = 3*i - 2*o - 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(110) + (sqrt(110) - sqrt(110)*-1 - sqrt(110))) + sqrt(110) + sqrt(110))*4)\/(1*sqrt(810) - 1*sqrt(1440))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*d = 57*d - 35. Solve 56*u - 52*u + 2*t = -8, -6 = 3*u - d*t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhh when three letters picked without replacement from {y: 3, h: 17}.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*n = -15, 3*a - 15 = -2*a - 2*n. Suppose -m + 8 = a*m. Find the second derivative of 5*f**2 - 4*f**m + 0*f**2 - f wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 - (48 - 59 - (-1 + (5 - 11)) - -12).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (411\/10)\/((-54)\/(-1665)). Let b = l - 1251. Calculate the common denominator of b and 91\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*(-4)\/14*-15. Let v be 5\/(q\/(-4)) - 0. Let a be 12\/260 + (-2)\/(-13). What is the closest to v in a, -2\/5, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 2. Let u(c) = -2*c**2 - 4. Let q = -12 - -17. Suppose 5*g = p + 22, p - 3*g = -7*g + q. Determine p*z(v) + 4*u(v).\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 + (3398 - (10 + 30)\/(-10)). What is the highest common factor of d and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 5*n + 4. Let v be d(6). Suppose v*y - 192 = 6*y. What is the highest common divisor of y and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**5 - 8585712*a**4 - 77271172*a**3 - 188884872*a**2 + 128*a + 274741632 = 0. Calculate a.\nAnswer: -2146419, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h**2 + 0*h**2 - 1 + 7*h**2 + 4*h**3 + 2*h to the form c + d*h**2 + r*h**3 + g*h and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 4 (c) 0.4 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903*t + 174*t + 5 - 5.\nAnswer: 1077*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-63)\/(-30))\/3)\/(((-27)\/15)\/(216\/(-192)))?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4396013779113+-4.7\nAnswer: 4396013779108.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 214*y**5 - y**4 - 497*y**3 + 1098629*y wrt y.\nAnswer: 4280*y**3 - 12*y**2 - 2982*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.053 (b) 4 (c) -2\/11 (d) -0.4 (e) 1187 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 5. Let o be i(-5). Let s = 2 + o. Calculate the remainder when s is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/6 (b) -1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1445 and 595?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 6*h**2 + 2*h - 2. Let m(a) = -15*a - 35*a + 70*a**2 - 73 - 71*a**2 + 9*a. Let o be m(-39). Determine d(o).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -20) + 4\/33*1449\/(-46).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 770 and 8817536?\nAnswer: 484964480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 4*a + 9*a = 2*o - 14, 2073*o - 4*a - 1052 = -7311 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*t**4 + (2*t**4 + 3*t**2 - 3*t**2)*(2 - 1 - 6) + 2*t**4 + 3*t - 3*t - 3 + 2*t**4 + 4 + t**3 - 8*t**4.\nAnswer: -12*t**4 + t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 540 - 540.000253. What is j rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*z + 24 = 49*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h + 5*o + 1365 = 0, 3*h - 818 = 4*o. Let q = h + 66. Suppose 12*r = q + 152. What are the prime factors of r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4457764?\nAnswer: 2, 29, 83, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17257 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = s - 8, 0 - 10 = -s - 2*h. Suppose -8*z + 18 = -s. Suppose -z*g = -0*g + 108. Which is greater: g or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36146776 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.2, -0.2, 15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9373.7225 to the nearest one hundred.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 583\/21. What is the common denominator of -59\/21 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(-2*sqrt(726))*6)\/(-4*(sqrt(288) - -3*sqrt(288))*-5).\nAnswer: -sqrt(5)\/3520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**5\/20 - n**4\/4 + 2*n**3\/3 + 3*n**2\/2 - n. Let h be y(-2). Let k = h - -14. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3094959 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -163, -171, -181, -193, -207?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-6) + -1 - 0. Let w = 577 - 581. Sort 1\/5, d, w in descending order.\nAnswer: d, 1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k. Let i(x) be the third derivative of -11\/6*x**3 + 0*x - 2*x**2 + 39 + 1\/24*x**4. Determine i(u(b)).\nAnswer: -6*b - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5\/4, 3, 10\/3 in increasing order.\nAnswer: -5\/4, 1, 3, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 + -128 + (1 - -17).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 366?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-182)\/(-104) - 32\/128)*4\/129.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4))**(-1\/17))**23\/((b**8*b*b*b*b**(-5))\/(b*b**0*b)**(-1\/3)) assuming b is positive.\nAnswer: b**(-64\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -715*m + 725*m + m**2 + m**2 - m**3 + 60 - 17*m**2. What are the prime factors of d(-17)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 156282819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33521620 divided by 4.\nAnswer: -8380405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -108 in -6, 0, -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-2*c + 2*c + 3*c + (-5 + 2 + 2)*(-1 - c + 1) + 4*c + 3*c - 6*c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129940?\nAnswer: 2, 5, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 5.2. Let r = -11.2 + z. Let q = -15.00000144 - r. Round q to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.71274 centimeters to millimeters.\nAnswer: 877.1274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stsh when four letters picked without replacement from {h: 1, g: 2, s: 2, f: 1, t: 4}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4 - 228*y**3 + 211*y**2 + 3612*y + 4540 = 0.\nAnswer: -2, 5, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 12*u**3 + 3 + 40*u**3.\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (-337)\/(-22)) + (-2)\/11.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23802.9914635 - -23803. What is z rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 317829148, 317829150, 317829152, 317829154?\nAnswer: 317829156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 28 and 0.124551821405.\nAnswer: 28.124551821405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b*b*b*b**16*b*b*b)\/b)*b**(-1\/22)\/b assuming b is positive.\nAnswer: b**(-463\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318220262?\nAnswer: 2, 8629, 18439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 11101?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.132 and -4.\nAnswer: -0.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 3. Let o = y + -2. Suppose -5*j + 52 = -4*u, -4 = -0*j + j + o*u. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 - 74. Let s be ((-36)\/15 - -2)*(-10)\/v. What is the biggest value in 4, s, 2, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/8 - (-13)\/24. Let c(n) be the second derivative of -1\/2*n**2 + i*n**3 + n + 0. What is the first derivative of c(w) wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*a - 815, 6*a - 3*a = -3. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236, 1703, 5572, 13049, 25340?\nAnswer: 43651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*r = 2. Calculate the least common multiple of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*l - 35 = 4*p, 4*p = 2*l - 22. Let o be 2100\/(-280) + (-6)\/(-4). Which is the third biggest value? (a) 4 (b) 2 (c) p (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 25*t**3 + 5*t**2 - 5*t - 12. Let a(r) = 21*r**3 + 4*r**2 - 4*r - 11. Let c(h) = 6*a(h) - 5*d(h). Let p be (1*-2)\/2*0. Determine c(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 6 - 34. Let u be 2\/((-2)\/(-44)*4). Let h = u - 4. Calculate the greatest common factor of q and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 43. Suppose 63 + 616 = 7*i. Suppose -41*y = -40*y - i. What is the remainder when y is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*d - 10*d - 39*d**2 - 19*d - 19*d as w + b*d + i*d**2 and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-130)\/(-8))\/((-2)\/(-8)). Suppose -p = -s - 21. Is s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -129184 smaller than -129143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 502 and 96635.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3113 - -3121 - (-4 + -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6057*d - 417110 = 146191 for d.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y**2 + 2*y + 1. Let x be z(-1). Let c = x - 0. Calculate the highest common divisor of c and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235437601 to the power of 1\/2, to the nearest integer?\nAnswer: 15344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 4*d = -4*u + 33, -13*d - 130 = -83*u + 78*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 695909.8l to millilitres.\nAnswer: 695909800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4847 + -0.2847. What is the smallest value in 1\/3, 0, -1, f, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 - j**4 - j**4 + (0 - 3 + 4)*(2*j**2 + 2*j**4 - 2*j**2) + (-1 + 1 - 5)*(j**4 + 0 + 0))*(16 + 70 - 15 + 12).\nAnswer: -498*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y + 92*y + 448 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.23 (b) 0 (c) 5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 0 + 0*j - 14*j**2 - 1\/2*j**4 + 0*j**3. Let o(k) = 2 + 8*k - 2 - 7*k. What is o(t(g))?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a1 + -5a?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/981362 and -75\/2.\nAnswer: 981362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w - 44. Let z be (-570)\/(-80) - (-1)\/(-8) - -3. What is the remainder when b(z) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o, -3*d = -2*d - 3*o - 87. Let f = d + -87. Calculate the lowest common multiple of f and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 3, 2*d - 2*o + o = -9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1299, -2601, -3905, -5211, -6519?\nAnswer: -7829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 4:04 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.7, 0.2, 1\/7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*p = 26, -2*p = -2*a + p + 24. Find the third derivative of 0*s**a - s**6 + 0*s**6 + 0*s**6 - 2*s**2 wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/2 - (-18)\/6. Let p = l + -6. Suppose 0 = -p*c + 3*v + 55, -3*c = -c + 4*v. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Suppose 0 = w - h, -a*h + 0 = -6. Solve p = -v - 2, 0*p + w*p - 26 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -367, -741, -1117, -1495, -1875, -2257?\n\"Answer: -r**2 - 371*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 418053 and 2526?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/65393860 and -51\/55940.\nAnswer: 65393860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 74961, 74955, 75035, 75243, 75621, 76211?\n\"Answer: 7*d**3 + d**2 - 58*d + 75011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33238.28600348 and 0.3.\nAnswer: 33238.58600348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 792?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a + 3. Let g be -1 + -10 + 3 - -100. Suppose 30*i + 16*i = -g. Calculate b(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9162467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - 136 = -4*o + 22*t, -58 - 98 = -5*o - t for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 7 = 2*s, -5*f + 0 + 14 = -3*s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 4029180*w**2 + 4029185*w.\nAnswer: -5*w*(w - 1)*(w + 805837)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r - 4*q = 0, 5*q - 21 = -2*r. Suppose 8 = -m + 4*a, 2*m + a = -r*m + 65. Calculate the remainder when m is divided by 16\/3 - 5\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 + -72. Let n(s) = 5*s**2 - 2*s + 2. Let o(z) = z**3 - 8*z**2 - 9*z + 2. Let w be o(9). What is the remainder when g is divided by n(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.024, 34, -1\/9, -2\/5, -1?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -c + 4*i - 29611, 3*c + 2*i = 17767. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15471 - -15471.39. Sort 0, p, -3, -2.\nAnswer: -3, -2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 5*r**7\/42 - 8*r**6\/3 + 15*r**5\/4 + 2*r - 51. Factor l(z).\nAnswer: 5*z**3*(z - 15)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/366 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -13*i**3 + 14*i**2 - 10*i - 28. Let p(c) = 37*c**3 - 39*c**2 + 29*c + 82. Let w(y) = -17*o(y) - 6*p(y). Calculate w(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77765207\/8 at least as big as -9720651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + (30 - 20) - 130?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27 and 0.0240192?\nAnswer: -0.6485184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 855 and 1800.\nAnswer: 34200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 280085301?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.39 + -0.09. Let s = 3736.08 - 3736. Put s, 3, -2, z in decreasing order.\nAnswer: 3, z, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {m: 1, g: 4, e: 2, a: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234093741.\nAnswer: 3, 7, 31, 109, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 0*q**3 - 294 + 36*q**2 + 4*q - 36*q - 3*q**3 - 31*q = 0. What is q?\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*o + 16, 5*n - o - 10 = 10. Suppose 2976 + 1584 = n*v. What is v rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400650 divided by -6?\nAnswer: -66775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11352957 by 7.\nAnswer: -1621851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 121*j**3\/3 - 1079*j**2 - 2100. Find the second derivative of o(m) wrt m.\nAnswer: 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(208)\/sqrt(4))\/sqrt(4).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(192)\/sqrt(6) + 2)*2)**2 + 4.\nAnswer: -16*sqrt(2) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6934*g + 3 + g**2 + 11*g**3 + 6904*g - 12*g**3 + 15*g**2. What is l(14)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {y: 3, x: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 14 + -6 + 0 + 37 + -1 + 7?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.88 in -2\/9, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 66*h + 2 + 4\/3*h**3 - 1\/6*h**4 - 4*h**2. What is u(6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**3 - 6 + 2*s**3 - 5*s**3 - s**3 in the form w*s + j*s**3 + z*s**2 + r and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.1 + 3. Let q = -5\/4776 + 9667\/109848. Which is greater: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 7. Let v be l(7). Let u(i) = i**3 + i + 5. Let z be u(v). Find the third derivative of -3*y**2 + y**2 + 0*y**5 + y**z wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 2, 4, -2570, 364.\nAnswer: -2570, 2, 4, 24, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -48, -97, -102, -39, 116, 387, 798, 1373?\n\"Answer: 4*z**3 - 2*z**2 - 71*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6915 + -1.67. Let n = s - 1.0215. Suppose -19 = -x - 4*r + 37, 3*x + r - 146 = 0. Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-20)*-4)\/((9\/(-3))\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + 1 - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2836506299 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188327866 - 1230.96.\nAnswer: -188329096.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055103 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-16)\/(-2*4\/16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**14\/b)\/b)\/(b*b\/(b**(-2\/15)\/b)))\/((b*b**3*b*b)\/((b**(-7\/3)\/b)\/b)) assuming b is positive.\nAnswer: b**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 691.141 days?\nAnswer: 59714582400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + (sqrt(243)*1 + 1 - -4*(1 + sqrt(243) - sqrt(243))) + 3 + (sqrt(243) - (sqrt(243) + sqrt(243)*-1)) + 1 + -1 + sqrt(243))**2 + 1.\nAnswer: 594*sqrt(3) + 2309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3158, -6277, -9358, -12395, -15382, -18313?\n\"Answer: s**3 + 13*s**2 - 3165*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30, -36, -42?\n\"Answer: -6*r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 486 and 35459154?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/5 of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 547967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -249\/5, 5, -3, 4 in descending order.\nAnswer: 5, 4, -0.6, -3, -249\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 2:13 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -161*k + 6. Let c(n) = -727*n + 27. Let q(t) = -2*c(t) + 9*g(t). Suppose 6*i = i + 35. Let z(x) = -i*x**2 + 3*x**2 - 4*x**2. Determine q(z(s)).\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**7\/105 + 149*s**6\/240 - 607*s**5\/120 + 331*s**4\/48 + 41*s**3\/4 - 17*s**2 + 81*s. Suppose r(y) = 0. Calculate y.\nAnswer: -41, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0252 - 3067597.7?\nAnswer: -3067597.6748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 6:43 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**5\/20 + g**4\/12 + g**3\/6 + 17*g**2\/2 - g. What is b(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 258.52635.\nAnswer: -258.02635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*((-370)\/2035)\/(6\/22)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2214 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**4\/3 - 40*s**3\/3 + 9*s**2 + 6*s. Let r be p(10). Solve -8\/3*k - 4\/3*k**5 + r + 4\/3*k**2 - 4\/3*k**4 + 4*k**3 = 0 for k.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (((sqrt(95) - sqrt(95)*2) + sqrt(95))*3 - sqrt(95)) - sqrt(95)) + sqrt(95))\/((sqrt(75)\/sqrt(3))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 52 - 456 = -2*s, -3*u = -s + 284. Which is the biggest value? (a) -2 (b) s (c) -3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -35 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = -0*q - 3*o, o = 5*q - 34. Let a be (32 - 0)\/(-4 + q). Calculate the highest common divisor of a and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001371199011 rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 64, 92, 92, 64, 8?\n\"Answer: -14*v**2 + 70*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48751 - 97501\/2. Factor 2*n - 6 - q*n**4 + 9\/2*n**2 + 0*n**3.\nAnswer: -(n - 3)*(n - 1)*(n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 172\/20 + 851\/115 + -16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 20 = a. Let r(s) = -s**3 + 8*s**2 - 1. Let j(o) = o**2 - o. Let q(g) = -6*j(g) + r(g). Give q(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -3*x + x - 4*q, -3*q = -4*x - 37. Let n = -4 - x. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*h**2 + 32*h - 3*h**2 - 39*h**2 to y + d*h + o*h**2 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.746 - -0.254. What is the closest to 12 in -5, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*s + 426 + 124 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.9 and 0.065.\nAnswer: -0.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 53. Let l = z + 16.8. Which is the closest to -2\/11? (a) l (b) -1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 11248754.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5\/2. Let w = 10.1 - 10. What is the closest to w in -5, h, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/253561 and -59\/445.\nAnswer: 1267805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -64.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -59. Let f = -16 + x. Solve 4*m = -12, f*b = m - 5*m - 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 8:36 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-105)\/(-63))\/(5\/6). Let l be (-9)\/(-5) - f\/(3 + -13). Solve 18 = 4*g + l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183391 by 17.\nAnswer: -183391\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 26877*o**2 - 42*o - o**3 + 26887*o**2 - 53721*o**2 = 0.\nAnswer: 0, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from ssbobsspsmssooksp.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 14*r. Suppose 11*l - 102 = -69. Solve y - 3*x = r, l*y + 4*x - 19 = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/5 - 108*m\/5 - 2916\/5 = 0 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 6*j + 7. Calculate the lowest common multiple of a(-5) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((0 - 3) + -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 4:30 PM?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(484) + sqrt(484) + 6*(sqrt(484)*1 + sqrt(484)))\/sqrt(11))\/((sqrt(5808)*2)\/sqrt(12)).\nAnswer: 7*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - -57. Let u = -23 + x. Let r = u + -53. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39648 divided by 14.\nAnswer: -2832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/47 + 23\/282. Let r(i) be the second derivative of -g*i**4 + 0*i**3 + 2*i + 0 - 1\/2*i**2. What is the first derivative of r(l) wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 232*h + 0 - 2\/19*h**2.\nAnswer: -2*h*(h - 2204)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3 = 8, -5*j + 5*x = -5. Suppose j = -2*p + 564 + 652. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 5*l - 208. Let t(u) = -4*u**2 + 22*u + 831. Give 26*g(z) + 6*t(z).\nAnswer: 2*z**2 + 2*z - 422","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 644*q. Let l(b) = -4*b + 2. What is y(l(z))?\nAnswer: -2576*z + 1288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172737865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 666735.9 years in months?\nAnswer: 8000830.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -222.4 + 225. Let s = f - 41.6. Is -2 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 318417421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(2\/9)*t))\/t**5)**(-2\/59)*(t\/t**(-5\/6))\/(t*t**(-5))*(t*t**4\/t)\/t**(-6) assuming t is positive.\nAnswer: t**(17003\/1062)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-4))\/t*t)**(-1\/10)\/(t\/t**(3\/5)*t**(-2\/41)) assuming t is positive.\nAnswer: t**(-21\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-27)\/(-6) - 2. Let g(t) = -t + 9. Let y be g(l). Suppose 25*d = 43*d - 324. Calculate the highest common factor of d and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 221\/4. Let z(j) be the first derivative of j**3\/3 - 7*j**2\/2 - j + 16. Let f be z(7). Which is the nearest to 3? (a) f (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 164 + -185. Let f = h - -33. Solve -9*y = -f*y - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 11*k - 11*k**3 - 8*k**3 + 11*k**2. What are the prime factors of q(-3)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 574 and 0.037?\nAnswer: 573.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-100)\/(-7) + (-4)\/14. Let q be (2 + 0)*110\/4 + 1. What is the greatest common divisor of q and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 21*c**2 + c + 22. Let o be v(-21). Sort o, -2, 5, 4 in ascending order.\nAnswer: -2, o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39)\/(-6)*(1 - -1). Suppose 0 = 2*m + p - 3. Let y = -0.9256 + -2.0744. Which is the biggest value? (a) y (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2646 and 4725.\nAnswer: 66150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - u)*(u**3 - 3*u**2 + 3*u**2) + 3*u**4 + 4*u**4 - 5*u**4 to the form a*u**3 + c*u**4 + n + o*u + v*u**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7448\/13? (a) 2\/5 (b) -0.2 (c) -5\/131 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d73 (base 14) in base 16?\nAnswer: -5561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32021 (base 5) in base 13?\nAnswer: c84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (6 - 5) - (-3 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*y - 4*l + 25, 4*l - 24 = -2*y. Suppose y*t = 3*t + 600. Suppose 3*h = -h + t. Solve -3*s + c = -0*s - 10, 5*s - h = -5*c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-6) - (-6)\/4. Suppose j - s = -13, -2 = 2*s - x. Let h be (-8 - 48\/(-6))\/(1 - 3). Which is the biggest value? (a) 4 (b) j (c) h (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 219462460 to the power of 1\/3, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000101101 (base 2) to base 11.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -316*o**3 - 4802*o**2?\nAnswer: -1896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 17, 0.03, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 414 = 2*f, 5*f - 3*f + 4*l = 414. What is the highest common divisor of 23 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3475*p - 50 - 6937*p + 3395*p.\nAnswer: -67*p - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.91526 less than -0.3922?\nAnswer: -4.30746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 8:56 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*g = 8, q + 2*q + 3*g = 12. Let d = -233 + 232.7. What is the third biggest value in -2\/3, q, d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*j**2*k**3 - 8*j**2*k - j*k**2 + 4*k**3 + 53*k**2 + 8 wrt j.\nAnswer: 36*j*k**3 - 16*j*k - k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 8*m + 19. Let r be j(9). Suppose 6*u - 20 = 4*u - 5*y, 0 = 4*u - 4*y + 16. Suppose -4*q + r = -u*q. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-9) - (-10)\/(-90)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 0, -11 in decreasing order.\nAnswer: 5, 2, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 10*l - 11. Suppose 126 = 799*a - 792*a. Calculate the least common multiple of n(10) and a.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -8, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**5\/20 - s**4\/4 + 2*s**3\/3 + s**2 - s. Give g(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 4*h**2 + 2*h + 7. Let w be q(3). Let j be ((-2)\/(-6))\/((-1)\/(-6)). Sort 0.1, j, w in descending order.\nAnswer: w, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4.02. What is the second biggest value in 1\/4, s, 6\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12007 + -12007.2. Let l be 1 + 2*9\/(-24). What is the nearest to z in -3, l, -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/215 and 107\/3840?\nAnswer: 165120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 410374 to the power of 1\/2, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 42. Let s be (-10)\/(a - -1)*62. Let l be (-4)\/30 - s\/30. Solve 8 = l*w - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 + 0)*(-3 - 2*f + 4*f - 4) in the form n + l*f and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -11*a - 2. Let h be x(-1). Suppose h*y = 1 + 44. Sort y, -5, -2 in ascending order.\nAnswer: -5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 36 = -5*h. Let d = h + -1. What are the prime factors of (1 + -2)*d + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 3*d**2 + 2*d. Let w = -3 - -1. Let k be v(w). Suppose -4*m - 2*c + 8 = k, 2*m + 4*c - 16 = m. Solve -2*z = -m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 72 = 4*n, -2*n + 5*n + 45 = 3*f. Let w = 24 + n. Suppose w*s - 28 = 2*i, 4*i - 5 + 1 = 0. Calculate the smallest common multiple of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**3\/3 + 3*u**2 + 2*u + 2. Let y be t(-6). Let v be 4 - ((-3)\/3 + 2). Solve y*q + 22 = 4*x, -v*x + 17 = -x - 3*q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003089 to six decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17746 + 90615 = 2725*w - 151671 + 33857 for w.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -23\/185937 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7*(-1)\/4)\/((-2)\/(-136)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -1\/19, -0.1, -0.7?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**8\/840 + 3*r**4\/8 + r**3\/3 - 10*r. Let b(l) be the second derivative of s(l). Find the first derivative of b(o) wrt o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 1. Let t be p(2). Suppose -4*o - t*q = -181, 2*q + 0*q = -2. Let i = 90 - o. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(91) + (sqrt(91) - sqrt(91)*-2 - sqrt(91))))\/((sqrt(63) - sqrt(7))*3) + (5 + 0 + sqrt(1053))**2 + 0)*3.\nAnswer: 549*sqrt(13)\/2 + 3234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -707 + 1748. Suppose 909 = 39*z - n. What is the remainder when 184 is divided by z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/16522 and 25\/331942.\nAnswer: 3651362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*o + 243, 0 = o - k - 13 - 66. What is the remainder when o is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128\/(-168) - (-22)\/231?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + 4)\/1 - -4280. Let p = 851125\/199 - l. Let t = p - -392\/597. Which is the third smallest value? (a) 4 (b) -1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1898040 and 3340.\nAnswer: 316972680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*r = -2*r - 6, a - 2 = -r. Suppose 3*k + 2*x = -146, a = 4*k - 2*k - 2*x + 94. Let w = -9 - k. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 255 + -235. Solve a - 8 = k, 3*a = 5*a - 3*k - p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2360 (base 7) in base 3?\nAnswer: 1012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 12:02 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -15. Suppose -2*z = z - 45. Suppose -z = -5*y + 5*b, 8 - 2 = i*y + 5*b. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 137, 133, 127?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82152 by -2.\nAnswer: 41076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**3 - 97465*d**2 + 97465*d**2.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 15*q = -23*q - 6749 + 9532 for q.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147 + -152. Let u = 2 + -3\/2. What is the biggest value in c, 0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 432 - 431.105. Let d = h - 0.095. Suppose 0 = 2*l + 2*l + 3*m - 3, 5 = -5*l - 2*m. Sort l, d, -2 in increasing order.\nAnswer: l, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 31 in descending order.\nAnswer: 31, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:13 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -815, -3387, -7721, -13817, -21675, -31295, -42677?\nAnswer: -55821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 15*q**2 + 17*q + 22. Determine p(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -391.\nAnswer: -1\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -5, -57, -3, 1, 332.\nAnswer: -57, -5, -3, 1, 2, 5, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 1 + 1)*(0 + 34328*x**2 - 34914*x**2 + 0).\nAnswer: -1172*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0 + 0*p**6 + 0*p + 1\/48*p**8 + 0*p**3 + 1\/3*p**4 + 4*p**2 + 0*p**7 + 0*p**5. What is the second derivative of l(u) wrt u?\nAnswer: 140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -320 at least -381338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a factor of 8926942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*l**4 + 8227*l**2 + 25*l + 5544018 wrt l?\nAnswer: 20*l**3 + 16454*l + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 36, 103, 206, 351, 544?\nAnswer: 791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -302*m + 11. Let n = -32 + 17. Is y(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.29*-0.3.\nAnswer: 0.987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 - 159.99931. Round y to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1141*q = -1605*q - 1392 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*t + 49*t = 0. Let n be 6\/(-24) + 9\/4. Suppose -3*j + 8 = -2*j. Solve -n*r + t*r = -j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f - 69 = -g, -81 = -g - 2*f. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 140 + -521?\nAnswer: -3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 25. Let z(g) = 5*g**3 - g**2 + g. Is 5 a factor of z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42*(-85)\/(-624750)*7\/(-1).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 769952*0.2\nAnswer: 153990.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2\/7, -3\/5, -72?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18 - (5 + -3 + -4). What are the prime factors of 570\/k - (-2)\/(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37.8633 and 8.\nAnswer: 45.8633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + 215079665790*y - 215079665790*y - 323.\nAnswer: -2*y**3 - 323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.817 - -0.975. Let j = z - -0.208. Which is the closest to -2\/15? (a) j (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 75763061?\nAnswer: -75763070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(9)\/sqrt(3)))\/(sqrt(48)*-3) + ((sqrt(810) + sqrt(810)*-3)\/sqrt(5))**2 + -2.\nAnswer: -sqrt(2)\/6 + 646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqxxqqqqx?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 54*y**2 - 597*y + 15. Let i be l(11). Let h(q) = q**3 + 18*q**2 + 2*q + 23. Determine h(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 22*a + 12. Let f(x) = -x - 1. Let b(k) = -12*f(k) - o(k). Let t be b(1). Let p = t - -56. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7)*(-21)\/9. Let t = 18 + -24. Which is the smallest value? (a) 0.4 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -284*l + 158. Let c be f(17). Let t = -3189 - c. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -544b (base 12) to base 2.\nAnswer: -10010000111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -10*b. Suppose f + 5*c + 9 = -b*f, 0 = 5*f + 4*c + 3. Which is bigger: -3\/8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -9*d + 226. Let h = -58 + d. Let i = h - -94. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*p - p. Suppose 9 - 77 = -p*q. Let u = 11755 - 11670. What is the greatest common divisor of u and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 4:42 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394, -1564, -3514, -6244, -9754, -14044?\nAnswer: -19114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17638629 and 94072688.\nAnswer: 282218064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 10) to base 14.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, f: 1, i: 1, x: 1, g: 1}. Give prob of sequence ia.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-4*1*sqrt(85)*3)\/((sqrt(450)*-2)\/sqrt(10) - (sqrt(180) + sqrt(180)*-1)))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2252638233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from {k: 1, t: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -884\/2637 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, -1, -2\/11, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 57*91\/(-155610)*(-39)\/(-1)\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 138303703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-9 + 1)*1. Let n = -4 - m. What is the second derivative of 0*b - 4*b - 2*b**5 + n*b**5 wrt b?\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + ((sqrt(68) - -2*(sqrt(68) + 1*sqrt(68))) + sqrt(68) - sqrt(68))\/(sqrt(400)*-2) + (2*sqrt(833) + -2)**2 + 1).\nAnswer: -225*sqrt(17) + 13332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - ((1 - -2) + (14 - 43 - -31)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**8\/3360 + s**7\/1680 - 71*s**3\/2 + s**2 - 58. Let z(a) be the first derivative of j(a). Factor z(u).\nAnswer: u**3*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 + 90*t + 10. Let y(v) = 3*v**2 + 72*v + 8. Let w(r) = 4*n(r) - 5*y(r). Let s(z) = -18*z**2 + 2*z. Give w(s(d)).\nAnswer: 324*d**4 - 72*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4256 is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35 + 2645?\nAnswer: 2610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/108 and -47\/264.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b - 4 = 0. Let v be (-50)\/(-13) + b\/(-13). Solve -4*c = -r + 4, r - 4*c - v = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676 - 2064 + 3*z + 8*z**2 + 710 + 678.\nAnswer: 8*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -3\/5*q**5 + 3\/2*q**3 - 22 - 3\/2*q - 3\/8*q**2 + 3\/4*q**4 - 3\/8*q**6. Suppose w(l) = 0. What is l?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/63 and -125\/151452.\nAnswer: 151452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -112, -175, -240, -307, -376, -447?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54439 is divided by 889?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001552 rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3084 (b) -2\/7 (c) 5 (d) -1469\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13, 8, 3, -2?\n\"Answer: -5*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - 2*o - 2. Let d(x) = -1 + x - x**3 - 11*x**2 - 18*x**2 - 13*x**2 + 41*x**2. What is 2*d(q) + g(q)?\nAnswer: -2*q**3 + q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 35*a - 66. Suppose -b + 21 = 2*r, -2*b + 15*r + 54 = 17*r. Give f(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3494 + 2144 + 3*p - 4*p + 2359.\nAnswer: -p + 7997","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-494)\/(-78) + -2*3\/18\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 - (9 + -5 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -292216.2479 to the nearest 10.\nAnswer: -292220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6 + 15 + s**3 + 3*s + 6*s**2 - 24. What is the units digit of w(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -483757*r - 48959?\nAnswer: -483757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1451902, 1451901, 1451900?\nAnswer: 1451899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-1)\/2*2. Let y be (-200000)\/(92\/(-90) - h). Round y to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**3 + 4*l**2 - 7*l + 11. Is g(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 5*m - 10. Let t be a(-7). Suppose 1198 = 4*i + 4*s - 1102, -i + t*s = -595. List the prime factors of i.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -12, -4 in increasing order.\nAnswer: -12, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k + 4403. Let p(a) = 2*a**2. What is i(p(s))?\nAnswer: 10*s**2 + 4403","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**3 - 9*k**2 - 7*k + 9. Let l(i) be the first derivative of 17 - 4\/3*i**3 + 1\/2*i**4 + 4*i - 3\/2*i**2. Determine -14*l(g) + 6*r(g).\nAnswer: 2*g**3 + 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*k*y**3 - 1281*k*y**2 + 2*k - 14267 wrt y.\nAnswer: -12*k*y**2 - 2562*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1104 - -0.08.\nAnswer: -1103.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 783, -1, -1479 in descending order.\nAnswer: 783, -1, -4, -1479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*y + 0*y + 7*y)*(-2 - 8 - 2) + 0*y + 2*y + 0*y)*(-3 - 1 + 6).\nAnswer: -164*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 6. Let y be v(-13). Let n(d) = d - 5. Let o be n(y). What is the greatest common factor of o and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-55\nAnswer: -4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1.888, -4, -467?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - w**2 + w + 156. What is the hundreds digit of h(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = 5*y - 2, 4*y = -3*j + 32. Suppose -18*l + 24*l = 372. Let o = -58 + l. What is the greatest common factor of o and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2738 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 16 = -m. Let x be -2*(-14)\/m*-1. Let g be (x\/(-3) - -2)\/(-1). Which is bigger: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-32)\/24)\/((-1)\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -310 divided by 483\nAnswer: -310\/483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 285136048487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12*63*(-17)\/612\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 523723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001010010102 (base 3) in base 16?\nAnswer: 108dac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 296621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 10 (c) 0.5 (d) -44159 (e) -0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/75*12)\/(((-7)\/(-175)*10)\/(-6))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 213 and 286.41673.\nAnswer: 499.41673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2032 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-12)*3*(-6)\/56. Let c = 2.8 - 3. What is the third smallest value in c, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8 + 0 = 0. Suppose 0*s + 24 = 3*s - d*b, -4*s - 5*b = -1. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 206066 and 2674.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -150 - -318. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-113417)\/3 + (-2)\/6. Let i be 4\/(-2) - l\/75. Let w = i + -502. Which is the third smallest value? (a) 1\/3 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**34)**46*r**(-3\/4)*(r*r**(-13))\/r assuming r is positive.\nAnswer: r**(6201\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -517 (base 12) to base 3.\nAnswer: -1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.7 + -3.5. Let t = 2 + -2.1. Sort t, v, 5.\nAnswer: t, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, l: 6, x: 2}. Give prob of sequence lx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(-2))\/72)\/(10\/40)*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 9*v**4\/8 - 2*v**3 + 492*v**2 + v - 6. Let u(n) = 3*n**2. Calculate p(u(t)).\nAnswer: 81*t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6447 and -3146.\nAnswer: -20282262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-51)\/(-24) - (63\/(-72))\/(-7). Solve -2*l + y - i = 0, 4*l = 10*y - 15*y - 32 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1871707 times -2.3\nAnswer: -4304926.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, 2\/25, -2, 1\/46, 25, -2\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-885005)\/10*2. Round n to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -5\/7 (c) -1\/8 (d) 12 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 - -1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -c - 3, -17 = -c - 10*s + 13*s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0073? (a) -264 (b) -6\/11 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -108.52864749 and 324.9.\nAnswer: 216.37135251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2203908*z - 5592418 wrt z?\nAnswer: 2203908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32564 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -1645186605?\nAnswer: 1645186604.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 1, 8, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = w, 2*w - 18 = -2*w + 5*v. Suppose w*a + a = 9. Let y be (-1*1*2)\/1. Put a, y, 5 in decreasing order.\nAnswer: 5, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15839113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/10*30\/(-12). Differentiate -6 + 2 + f + g - 5 wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 60 = 10. Let h be 7\/(112\/24)*i\/3. Suppose 3 = x + 2. Put -4, x, h, -1 in descending order.\nAnswer: h, x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.96 - 0.04. Let r = -5.995 - y. Round r to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 28*o**2 - 83*o - 335. What is i(31)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378471.\nAnswer: 3, 17, 41, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r + 0*r)*(5*r - 5*r - 4*r**2).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 + 12*d**2 + 2*d + 7. Calculate r(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.61+-10.701\nAnswer: -13.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(242) + 1 + sqrt(242))*5 + -2)*-2*-3)**2.\nAnswer: 17160*sqrt(2) + 871369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31\/72 - -5\/72. Are n and -2\/187 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 409544.8 centuries to millennia.\nAnswer: 40954.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212210220200212102 - -12?\nAnswer: 212210220200212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46729, -93133, -139213, -184969, -230401, -275509?\nAnswer: -320293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5228.\nAnswer: 2, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -157. Suppose -44*k = -47*k - a. Does k = -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -626 + -5?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14704 to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - 18 - (-22 - (-4 + 5) - (-66 - -55)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*d - 9 = 0, 6*t - 5*t - 3*d + 1 = 0. Let f = -90 - -63. Let o = f - -27.2. Put -0.17, -0.5, o, t in increasing order.\nAnswer: -0.5, -0.17, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 + 444*a**2 + 528*a - 17829. Give c(223).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 25 (b) 1 (c) 0 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/24 + 11*b**3\/6 + 5*b**2 + 7*b. Let r(f) be the first derivative of l(f). Give r(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, 17 in decreasing order.\nAnswer: 17, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 82.\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4408.89 years?\nAnswer: 4.40889","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2\/5, -11536?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 3*d + 10. Let u be o(-4). Let s = u - -5. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 141 = 19*s, -3*g + 4*s + 7035 = 6995 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*s = -3, s + 19 = q + 2*s. Calculate the remainder when 23 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/r**(-3\/2)))\/r)\/r)**(-21)\/(r*(r*(r*r**(-7))\/r*r)\/r*r*r\/r**(2\/7)))**45 assuming r is positive.\nAnswer: r**(48375\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13017.8 + -13018. Which is the closest to -1? (a) 1\/2 (b) 28\/9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 0)*(5 + 395*v**2 + 4*v**2 - 2917*v**2 + 4 - 9).\nAnswer: -10072*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16647459.\nAnswer: 3, 53, 104701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -933\/23 equal to 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000298072 rounded to 7 dps?\nAnswer: -0.0000298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 69 + 30 = 0. What is the remainder when 26 is divided by (-13)\/(572\/(-8)) + 108\/v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + r = 10, 2*h - 7*h - r + 11 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3*l + 1073 = 1103, t + 11 = -l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-4 - sqrt(11)) + -4 + ((sqrt(33) - sqrt(33)*-3) + sqrt(33))\/sqrt(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*16\/(-7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.66 and -3?\nAnswer: -16.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 627 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 16*r - 2. Let m(s) = 31*s. Let b(c) = 7*c. Let n(x) = -4*b(x) + m(x). Determine i(n(w)).\nAnswer: 48*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 156404 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/3)\/(5\/(-15)). Let d be 2\/(q + (-2)\/4). Factor 4*i**2 + 5*i**4 - i**4 + 2*i + 4*i**d - 14*i**3.\nAnswer: 2*i*(i - 1)**2*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21\/2 + -141\/14. Let p be 28\/18*(-3 + 0)*66\/(-77). What is the closest to 1\/4 in p, y, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 46*r - 3228585 = -41*r, 5*s - 3*r = 3228585. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*160\/200*10\/4. Solve -4*w - 8 = -v*y, 2*w - 5*w + 2*y - 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2822\/(-288) - 2\/(-9). Let u = -104\/9 - i. Calculate the common denominator of u and 33\/40.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e3 (base 16) in base 12?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 29 = 4*y - i, 4*i - 20 = 0. Let a = -1 - y. Suppose -a*h + 108 = -h. What is the remainder when h is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x*x**(-2))\/x*x*x**(-1\/7))**9 assuming x is positive.\nAnswer: x**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -388\nAnswer: 1\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59436, 59438, 59440, 59442, 59444, 59446?\n\"Answer: 2*i + 59434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0057979 rounded to 4 decimal places?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1103 - -0.2897. Sort 3, -0.2, -2, -1, b in decreasing order.\nAnswer: 3, b, -0.2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -272 + 467. Let u = -190 + b. What is the closest to -1\/10 in -4, u, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -28858.22 times 12\nAnswer: -346298.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-20)\/(-216))\/(10\/6))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.97, 0.3, -2\/7 in ascending order.\nAnswer: -1, -2\/7, 0.3, 0.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 4366005?\nAnswer: 4366005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2115 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.792 - -6.8. Let a = -38221 + 38221.00800228. Let i = a - k. What is i rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 5*n**2 - 2*n - 2. Let y be w(6). Suppose 2*j + 0*j + y = 0. Let l = -5 - j. Solve z = 4 - l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 1:28 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 1. Let s(k) = -23*k**3 + 12*k**2 + 6. Let h(q) = -6*d(q) - s(q). Find the third derivative of h(b) wrt b.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-117)\/6*-9)\/(-21) and -81\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 2\/(-10)*5 - (-23 + 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 39*h - 37*h = 42, 4*g = -2*h - 30 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4193704 to the power of 1\/2, to the nearest integer?\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Suppose 0 = -8*a + 744 - 712. Solve k = -a*t - 0*t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8623, -8589, -8551, -8527, -8535, -8593?\n\"Answer: -3*c**3 + 20*c**2 - 5*c - 8635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1\/4, 277005?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2121000101101 (base 3) to base 15\nAnswer: 1c34ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 d, and 2 b when four letters picked without replacement from {m: 1, d: 1, b: 2, y: 1, e: 1, z: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3065 - -5733. Let f = w + -1168. What is f rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -26338177?\nAnswer: 26338171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + (0 + sqrt(396))**2 + 4.\nAnswer: 6*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 314 - 313. Let x(v) = -3*v. Let n(p) = p. Let q(w) = o*x(w) + 4*n(w). Let d(a) = -7*a. What is q(d(i))?\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 1\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q = 3*x - 142, 3*x - 31 = -q. Suppose -5*a = 4*k - 207, -a - 4*k = -k - q. Find the first derivative of 76 - a - 45 - 11*t**2 - 9*t**2 wrt t.\nAnswer: -40*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*q**6 + 2*q**5 - 38*q**4 - 12277*q**2 wrt q?\nAnswer: 3360*q**3 + 120*q**2 - 912*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 974 + -954. Let k be (-43)\/(-2) + 2\/(-4). Let t = k - -19. What is the highest common divisor of i and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165686.027 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11\/22)\/((-2)\/(-20)). What is the fourth biggest value in o, -1\/14, 1\/3, 4?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -45*a. Let r(m) = -1845*m. Let g(l) = 4*r(l) - 165*x(l). Let s(b) = 876*b**2 - 869*b**2 - 1 + 1. Calculate s(g(z)).\nAnswer: 14175*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/8 - (-2)\/8. Let q(c) = 4*c**2 - c - 3. Let f(g) = -g**2 - g + 1. Let v(t) = k*f(t) + q(t). What is the units digit of v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbbq. What is prob of sequence qqbb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -457.976 + 461. Let p = k + -3. Let n = 0.003 - p. Round n to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 16*q + 2. Let o be a(-8). Suppose 0*f - r - 17 = 4*f, -o*r = -3*f - 10. Sort 2, 1, -2, f.\nAnswer: f, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29962, -29956, -29950, -29944?\n\"Answer: 6*r - 29968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 48*t**3 - 2*t**2 + 1. What is the units digit of u(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1057 * 0.5\nAnswer: 0.05285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1410?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**6\/10 - 361*g**5\/20 + 4095*g**4\/4 - 2025*g**3\/2 + 979*g**2. Factor i(q).\nAnswer: 3*(q - 45)**2*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9826 and 0.2.\nAnswer: 1965.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 287 from 24.61758962.\nAnswer: -262.38241038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 69*n**5\/20 + n**4\/3 - 2*n**2 - 23*n. Let b be w(-3). Let y = -1034 - b. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-72)\/(-43)*((-91)\/(-741))\/7. Is g less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8542, 17084, 25626, 34168, 42710, 51252?\nAnswer: 59794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6547, 6534, 6517, 6496?\nAnswer: 6471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -4. Let c = z - 1. Let y = c + 7. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -128*x**2 - 224. Let i(o) = -4*o**2 + 2. Determine -3*c(f) - 336*i(f).\nAnswer: 1728*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4082028427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -673.12437 to the nearest integer.\nAnswer: -673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2. Let t = -86 + 147. Let p = -52 + t. What is the nearest to 1 in p, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14142351.3 to the nearest one hundred thousand.\nAnswer: 14100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -485 + 633. What is the remainder when p is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 35977*q**2 + 251862*q + 159. Determine t(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131 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: Simplify (sqrt(27) - (sqrt(162) - -1*sqrt(162) - sqrt(162))\/sqrt(6))\/sqrt(9) - ((5*(sqrt(3) - (sqrt(3) + sqrt(12))))**2 + 4).\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - 0.12. Let r = 1519\/13 + -117. Sort 0.5, r, u in decreasing order.\nAnswer: 0.5, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101100 + 100?\nAnswer: -100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 383586641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m - 5. Let z be k(1). Let i = 33 + z. Does 25 divide (-410)\/(-6) - 28\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 327*m - 328.\nAnswer: (m - 1)*(m + 328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (127 - (-110 + 246)) + -2 + -19\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 87\/2840 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4 - -7) + -5 + -14 - 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7202.\nAnswer: 2, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**6\/42 - 4*i**5\/35 - 3*i**4\/14 + 4*i**3\/21 + 5*i**2\/14 - 47. Let a(d) = 0. Calculate d.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 814452000 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 626795431 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 529, 1030, 1531, 2032, 2533, 3034?\nAnswer: 3535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 0.3, 0.5, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 - (1 - 1))*(-19)\/(-38). Let f(i) = -i**3 - 5*i**2 + 2. What is f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*g**2 + 552*g**2 - 273*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31110 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 92*o**2 + 3*o + 5. Let r be 6\/(-4)*6\/27*-6. Suppose 4 = -r*p - 4. Is x(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {a: 1, j: 2, x: 2, k: 4, n: 5}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 5*p - 112 = -9*n, 0 = n + 4*p - 53. Solve n*d = 69*d - 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103 + 100.08. Let i = z + -0.08. Let v be (6 - 9) + 4\/1. Put -2\/3, v, i in ascending order.\nAnswer: i, -2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 2:36 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -219 equal to -1\/129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-7 + 9 + -11 - (-34 - 9))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by -5341.\nAnswer: 48\/5341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30733698 + -30744465.7085. Let f = k + 10773. Let g = -5.3 + f. Round g to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 18*s**2 - 38*s - 353. Calculate j(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-4*d - 2*d + 3*d) + d + 3*d - 2*d + (-2 + 1 + 0)*(-d + d - 3*d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 8*f**2 - 1. Let b be s(8). Let q be b - (70\/(-22) - -2). Factor 0*w - 2\/11 + q*w**2.\nAnswer: 2*(w - 1)*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 2. Let m be o(-4). What is the third derivative of -1 + 2*b**m - 5*b**6 + 1 - 2*b**2 wrt b?\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2)*0\/3. Solve 0*j - 24 = 5*j - 4*f, -3*j + 2*f - 14 = q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1108*y**2 - 5 - 33*y**2 + 4 to the form d + t*y + k*y**2 and give k.\nAnswer: 1075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + c + 3 = 0, 5*d + 4*c = 38 + 2. Let z(f) = f - 6 - 2*f - f**2 + 6*f. Determine z(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -150, -141, -120, -81, -18, 75, 204, 375?\n\"Answer: t**3 + 2*t - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25972 is divided by 222.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + s**2 + s**3)*(-s + 0*s + 0*s + (-4 - s + 4)*(6 + 11 - 2)) + 2*s**4 + 4*s**3 - 4*s**3 + (3*s**3 + 0*s**3 - 4*s**3)*(-2 + 2 - s).\nAnswer: -13*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.3. Suppose 0*h = 2*h + 6. Which is the nearest to k? (a) -3\/4 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 - 47 = -2*m - 2*c, 4*c - 75 = -m. Suppose s - m = -5*n - 29, 2*s = 2*n - 16. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648477 is divided by 224?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078 times 0.244?\nAnswer: 0.019032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (15 - 0) + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 1721988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 11280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20855 * -9.5\nAnswer: -198122.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/7101380 and -81\/8?\nAnswer: 14202760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4 + 1 + 0 + 2*k. What is the units digit of v(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**3*u**3 + 166*l**3 - 5*l*u**3 wrt u?\nAnswer: -6*l**3*u**2 - 15*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**6\/15 + 8*q**5\/45 + 5*q**4\/54 - 2*q**3\/27 - 5*q. Suppose v(j) = 0. What is j?\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2138, -2176, -2244, -2348, -2494, -2688, -2936?\n\"Answer: -k**3 - 9*k**2 - 4*k - 2124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 1251*z = -1254*z + 46, -2*a + 2*z - 25 = -7*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/902 and 97\/16564?\nAnswer: 182204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c - 2. Let s(p) be the first derivative of -2*p**2 + p - 33. Let d(i) = 4*s(i) + 5*v(i). Let x be d(-7). Which is smaller: -31 or x?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 12. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*o = 6, -27 + 18 = -4*t + 5*o. Is 80514\/t - -1 - -6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Solve -g*z = 3*o, -4*z + 7*z = -9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -316\/741 - -6\/13. What is the third biggest value in 0.5, a, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*u - 22, 7*n - 5*n + u = 22. What is the lowest common multiple of -3 + 3\/(-6)*-10 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 + 2*n**2 - 2*n + 19. Suppose 0 = -0*t + 4*t. Let h be g(t). Solve -7 + h = -3*o, -4*o = 3*i + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1498, 12\/7, 1\/7 in descending order.\nAnswer: 1498, 12\/7, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/38115 and -68\/63.\nAnswer: 38115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (6 - 352\/33)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48.9 - 49. Let c = 1394 + -1408. What is the nearest to r in -4, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 42 = -3*o, 209*o + 46 = -206*o + 411*o + 6*f for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 124778*c + 374352.\nAnswer: -2*(c - 3)*(c + 62392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:42 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07857 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2773*h**3 + 5*h**2 - 3*h**2 - 2*h**4 + 195*h + 2772*h**3 + 2 - 5547*h**3 + 0 to u*h**4 + z + k*h + d*h**2 + b*h**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*(0 + sqrt(243) + sqrt(243) + 2)*3 + -5*(-2 + 2*(sqrt(243) + -2)))**2.\nAnswer: 1656*sqrt(3) + 3088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, a: 3, t: 3, u: 3, b: 2}. What is prob of sequence ubbt?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/5)\/((-9)\/351*6)*-16. Solve -1263*d = -1276*d - s for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let i = 4 + m. Let x = -21608 - -21608. Solve i*s - 4 = x, -t = 3*t + 5*s - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3136065*28.\nAnswer: -87809820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1. Let b(m) = 2*m + 3. Let i(h) = b(h) + 3*w(h). Let a(s) = -1526*s - 1531*s - 56*s**2 - 1534*s + 4591*s. What is a(i(u))?\nAnswer: -224*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*a = 8*a - 3200 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5810\/(-532) - -11)*((-10)\/(-3) + -2).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o = 50. Let d = 61 - 56. Suppose -q = -4*q + d*q. Solve 0 = -g + 2*h + 6, 4*g - h + 8 - o = q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-85)\/4*-2*(-24)\/(-30). Let p = y + -29. Suppose -52 = -7*o + 6*o - 2*b, -278 = -p*o - b. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**5\/60 + 2*a**2 - 116. Let i(c) = 4*c + 5. Let k(z) = 1. Let u(w) = 6*i(w) - 30*k(w). Determine o(u(x)).\nAnswer: -576*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*t + u, 5*t - 4*u + 0 - 10 = 0. Solve -1 + t = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 + 7*r**5 - 2*r**5 - 2 + 2 + r**5 + (-2*r + 0*r - r)*(4*r**4 - r**4 - 2*r**4).\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7332 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((-14)\/77*-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a*(a\/a**(-2\/7))\/a*a)\/a)\/a))**8\/(a\/(a**(-2\/7)\/a)*a\/((a\/a**1*a)\/a*a)*a)*(a**1)**15\/(a**(1\/2))**36 assuming a is positive.\nAnswer: a**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1013656 and 220248?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 204?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*s**5 + 24*s**3 + 930*s**2 wrt s.\nAnswer: -660*s**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-198)\/88*2*-2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvhvhcvmcmmzchzmmh. What is prob of sequence zvmh?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -5*q + 184. Is ((-1)\/(-2) - 0)\/(q\/870602) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from skcktei?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2 - 2, -3*n + 2*i = -2. Let x(g) = -g**2 - 19*g + 23. Let v be x(-20). Sort n, v, -4 in decreasing order.\nAnswer: v, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 77. Let s = 35 + -35. What is the remainder when u(s) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from tisitiiiiitit?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -66, 103, 0, 1 in decreasing order.\nAnswer: 103, 1, 0, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -7818922 and -7818922 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 558490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1514202 is divided by 378318.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 3*k**5 - 921*k**4\/4 + 712*k**3 - 354*k**2 + 2004. Factor t(j).\nAnswer: 3*j*(j - 59)*(j - 2)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 - 9)*(-1 - 1 + 0)*(0 - 2 + 3)*(2 + g - 2) to m + n*g and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18099 - 17819 = 40*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5207 (base 11) to base 10.\nAnswer: -6904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2821*j**2. Let v(o) = 161 - 2*o + 174 - 335. Give v(z(g)).\nAnswer: -5642*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5201*l - 816. Is h(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-3))\/(290\/348))\/((-1)\/((-120)\/(-6)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 6. Let d = -6 + c. Suppose o + 24 = d*o. What is the least common multiple of o and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 21*v. Let k be -3*(14\/6)\/7*16. Let z be s(k). Suppose 0 = -2*c + p - 6*p + 396, 4*c - z = 4*p. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 8 + 264)*(0*f - 3*f + 4*f - 2 + 2 + 2*f + (4*f - 3*f - 3*f)*(0 - 1 + 2) + 3*f + f - 3*f) as i + s*f and give s.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18752731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 = -5*w + 3*w, -2*n = 2*w + 10. Suppose 0 = -5*v - d + 1702, -6*d - 1379 = -4*v - d. Let s = v - 336. Sort 2, s, -5, w.\nAnswer: -5, w, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 6 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6118\/181 or 0.1?\nAnswer: -6118\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3802063\/15 - 253302. Let i = -169 + v. Which is the third biggest value? (a) 0.1 (b) i (c) 3\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 693612, 693571, 693530, 693489?\n\"Answer: -41*b + 693653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4465433 - -264?\nAnswer: -4465136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -15 (b) -3\/7 (c) -0.4 (d) 111 (e) -1293\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 7\/474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 9:55 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 0.1. Let v = -8680.6 + 8681. Which is the smallest value? (a) t (b) 7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(5\/(3 + -8)). Solve -24 = -5*s - r, -4*r + a*r = 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*2\/(-4)*-6. Let f be -6*(u - 28\/8). Factor 18*b**5 + 48*b**4 + 2*b**3 + 32*b**3 + 2*b + 16*b**2 + 9*b**f + b**3.\nAnswer: 2*b*(b + 1)**2*(3*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + b**2 - 6. Let j = -8 - -11. What is the tens digit of x(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5328 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 = -8. Let v be ((-1)\/(-2))\/((-1)\/8). Let d be (-12)\/(-4) + (v - 0\/(-2)). Put i, d, -4 in decreasing order.\nAnswer: d, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/2, -2, 0.5, 1, 38.6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c9 - 15?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + h - h)*(-3 + 6 - 1).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j - 19. Let o(f) = 1. Let t(r) = -3*o(r) - w(r). Let s(k) = -3*k - 11. Let q(m) = 8*s(m) + 5*t(m). Let y be q(8). Which is smaller: -3\/10 or y?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/880 and -91\/7360.\nAnswer: 80960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cba67 + 876?\nAnswer: cc4dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 60 = 4. Let z be -1*(-8 - -6*2\/4). Suppose 2*w - 25 = t + 2, o = -4*t - z*w. Is -18 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 44*q - 22. Let t be d(-21). Suppose -t*j = -21*j + 54. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**3 + 3. Let l(d) = -35*d**3 - d**2 + 17. Let m(f) = 2*l(f) - 11*o(f). Let c(r) = r**3 + 18*r**2 + 17*r + 1. Let s be c(-17). Calculate m(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (200\/(-49875)*-21)\/(12\/15)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32 and 1864266196.064?\nAnswer: 1864266164.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10*42\/(-350))\/4\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -55. What is the closest to 2 in q, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*h - 3 - 1, 2*d = -2*h - 20. What is the biggest value in -3\/4, h, 0.3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 9:00 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/90)\/(0 - -5)*5\/3\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506449 is divided by 232.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -15*b + 6. Let i(g) = -15*g + 7. Let l(h) = -5*i(h) + 6*j(h). Does 19 divide l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160\/3 + 53. Which is the closest to 1.4? (a) -4 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**4 - 2564*g**3 - 2465286*g**2 - 1053498884*g - 168823196161 = 0.\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 2)*(17 - 17 - 21*y**2) in the form t + c*y**2 + n*y and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 231794368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 8*t**2 + 9*t + 4. Let j be x(-6). Let v(c) = -c**2 - c. Let f be v(1). Let s(w) = 2*w. Let d(r) = 23*r + 1. Give f*d(b) + j*s(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a0b (base 14) to base 10.\nAnswer: -23923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxnbnxnhnn. Give prob of picking 1 x, 1 b, and 1 n.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46 + m**4 - 46 + (-m**2 - 2*m**2 + 2*m**2)*(-5*m**2 + m**2 + 3*m**2).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1 + 10\/8*(-22952)\/(-755)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*m - 21495 - 16623 = -20756 + 28838 for m.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 7*a - 4 = 0. Is -2\/5 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.2. What is the biggest value in -2\/9, -2\/15, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99628 is divided by 132.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from ktkkjkjkjfjfk?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -9\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 p when three letters picked without replacement from bbbnnpb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - k + 17 = 0, b - 20 - 2 = -2*k. Suppose -q + 4*r = -13, 3*r = -3*q - 2*r - b. Let z(n) = 22*n. Does 12 divide z(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39752220 divided by -13250740?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 j, and 1 z when three letters picked without replacement from xzyxzjzzzxkjzjkx?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1556 divided by 778\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, 209, 5, -8.\nAnswer: -8, 5, 119, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -34*r - 2. Let f be g(2). Let m be (f\/65 + 1)*2. What is the smallest value in 0, -7, m?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttltllttttttt. Give prob of sequence tt.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 12:18 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 907342.1 hours to seconds.\nAnswer: 3266431560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 7:14 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -5*k - 5 - 79, -52 = -2*t + 21*k for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*l**2 - 90*l.\nAnswer: 5*l*(13*l - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -82.3. Let l = -4 - u. Let k be (-3*1\/(-5))\/((-10)\/(-50)). Which is the third biggest value? (a) k (b) 2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3150 and 64911?\nAnswer: 9736650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 4709.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 902356924 to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 23031?\nAnswer: 23033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225217*x - 225220*x - 51 = 0 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 + 128 = 32*s. Solve -4*w - s*w + 22 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/54)\/(5\/((-75)\/10))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6310998 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*g + 2*g - 15, -19 = 5*q - 4*g. Let c(w) = -w**3 - 8*w**2 - 6*w + 7. Let u be c(q). Solve 3 = 3*i - u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 1 + 18 + 0 + 21072*h.\nAnswer: 21072*h + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2152, 4195, 7330, 11563, 16900, 23347?\nAnswer: 30910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 52058925 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 3, -9, -25, -45, -69?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.84413675 to four dps.\nAnswer: 0.8441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305916296.\nAnswer: 2, 7, 37, 191, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -13*a - 7. Let h(s) = -24*s - 13. Give -3*h(p) + 5*t(p).\nAnswer: 7*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 12:31 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 - 4*d - 1. Calculate the remainder when 63 is divided by h(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*d - 37 = 135*d + 383 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/3 + (-61632)\/(-12) - -6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20964 divided by 4\nAnswer: -5241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9, 29, 87, 201, 389, 669, 1059, 1577?\n\"Answer: 3*f**3 + f**2 - 4*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -10. Let r = -48 - -193\/4. Which is the closest to 1? (a) -0.4 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 5*o**2 - o. Let d(t) = t**3 + 6*t**2 + 4*t - 5. Let b(m) = m - 1. Let p(v) = -5*b(v) + d(v). Give -4*c(n) + 3*p(n).\nAnswer: -n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(468)) + 3*(-1 + sqrt(468)))**2.\nAnswer: -192*sqrt(13) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -835 - -560. Let a = 538 + l. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68412 is divided by 7580?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1385 < -1390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**4 - t**4 - 2*t**4 - 6*t**3 + (0 - 2 + 0)*(8*t**4 - 4*t**4 + 4*t**4).\nAnswer: -14*t**4 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1771801 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20001022 + 10022?\nAnswer: 20011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 741\/11 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2168 is divided by 603?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2776?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.45 + -6.54. Which is the closest to -1? (a) 2 (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = c - 4*c + 4*k, k = -c + 13. Let f be (-1004)\/(-18) - (-2)\/c. Let h = -33 + f. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43806 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -522153 (base 6) in base 4?\nAnswer: -22033311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4703265 + -23?\nAnswer: 4703242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 36 + 19. Suppose -l*k - 10 = -4*t, 0 + 6 = 5*t - 3*k. Solve 5*q + 4*f - 8 = t, 0 = 3*q + 4*f - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2120171488?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 89.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 7394475.3?\nAnswer: 7394476.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 50*c + 7. Let p be u(-25). Suppose 5*h - 2*d + 3 = 0, -h + d + d - p = 0. Are 16\/13 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1 = 9. Let u be 4 - (2 + h*1). Let t(v) = -13*v + 1197. Let l be t(91). Solve -2*i = -2*p - u + l, 3*p = -4*i + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/(-12)*(-9)\/84. Let o be (-3)\/(0 - (0 + 1)). What is the third biggest value in -2, u, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272953519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323487821.\nAnswer: 31, 10435091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + (-3)\/15)\/((-27)\/180). Put w, 1, 2 in decreasing order.\nAnswer: w, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*l + 16, 2*a - 3*l = 19 - 6. Suppose 2 = -3*t + 5. What is the remainder when 8\/(2\/t) + -1 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*f**5 - 7*f**3 - 411*f**2 wrt f?\nAnswer: 4020*f**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24, -29, 3, 2\/17 in ascending order.\nAnswer: -29, -0.24, 2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 5 (b) 3.9 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(18) - (sqrt(18) - sqrt(90)\/sqrt(5) - sqrt(18) - sqrt(18)))\/sqrt(3))\/((sqrt(243) - (sqrt(243) + sqrt(243)*-2))*-6))**2.\nAnswer: 1\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -54*y - 6. Let p be w(-1). What is the greatest common divisor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 10*((-858)\/(-65) - 12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113 and 5213933?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-27) - (-1590)\/(-3996). Let h = k - 12\/37. Which is the nearest to 2? (a) 3\/7 (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 365140*q - 289838 wrt q?\nAnswer: 365140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + b + 68 = 0, -2*w - b = -2*b - 140. What is the derivative of 26*n + 2*n + 61*n - w wrt n?\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94867260?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 663 and 1872?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -58, -241, -546, -973, -1522, -2193, -2986?\n\"Answer: -61*v**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -u - 4, -u - 8 = u + 3*o. Let m(i) = -25*i + 2. Let h(b) = -26*b + 1. Let g(t) = 6*h(t) - 5*m(t). What is the units digit of g(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -3161*o**6\/120 - 1763*o**4\/12 + 3694*o**2. Find the second derivative of u(l) wrt l.\nAnswer: -18966*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**2 - 3*s - 1. Let n = -154 - -80. Let w = n + 77. Let d be (1\/(-2))\/(w\/12). Give z(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*j. Suppose 0 = -x + 5 - j. Solve -x*o - 9 = -4*k, -4*k = -2 - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 8*d + 5. Calculate m(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + j - 5. Let q(k) = -3*k**2 + 3*k - 14. Suppose 19*p + 0*p + 4*p = -253. Determine p*o(c) + 4*q(c).\nAnswer: -c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/((-36)\/3))\/2)\/(4\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3184)\/2786*(-28)\/(-16)*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3593 - 5283 = -4*u. Let g = -1180 + u. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 2*m - 8*m. Suppose 0 = 16*f - m*f + 12. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -968*o**3 - 17*o + 102945 wrt o?\nAnswer: -2904*o**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 13*v - 7. Let n be f(12). What is the second derivative of -r - n*r**5 - 6*r**2 + 6*r**2 wrt r?\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -466 + 461. Let h(b) = 66*b**2 + 4*b + 12. Let n(v) = 65*v**2 + 3*v + 9. Let w(q) = o*n(q) + 4*h(q). Find the second derivative of w(k) wrt k.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21255455 and 7085.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 5. Let q(r) = r + 2. Let d(l) = 2*j(l) - 5*q(l). Let n(u) = 9*u. Determine n(d(o)).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1924 = 3*d - 1939, 4*d - 20 = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1298864?\nAnswer: 2, 7, 11597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*g - 72 + 72)*(-3 - 2 + 3)*(-4*g**2 + 3*g**2 + 3*g**2).\nAnswer: 232*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p - 5*p + 7*p + 9*p + 6*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*s - 14, -5*s = 3*r - 9*s - 24. Sort 5, -18, 1, r.\nAnswer: -18, 1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*j = 10, -2*j + 15 = -3*l + 16. Suppose 0 = y + m + 70, -l*y + 2*m = y + 262. Is y at least as big as -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.34 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -1463.\nAnswer: 13\/1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 4*k - 8. Let y(s) = s**2 - 3*s - 6. Let a(x) = 3*f(x) - 4*y(x). Let w(t) = 40*t. Give a(w(h)).\nAnswer: 3200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + a - 18 = 0, -2*d - 3*a + 14 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608650145?\nAnswer: 5, 53, 347, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -13. Let f be (35\/(-21))\/((-1)\/3). Suppose -3*j - y = -f*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 379262 and 969644.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + 0.35. Let j = 3 - 1. Sort 0.5, j, n in descending order.\nAnswer: j, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6062353 + 11?\nAnswer: -6062342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 105167616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 309*q - 5 = -311*q, 11*q = 34*u + 89 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, x: 1}. What is prob of sequence tx?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d - 2*d**3 - 5 + 3 + 5 - 4 to u*d**2 + a*d + n*d**3 + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4.3, -0.1, 7\/4, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9103, 36577, 82323, 146317, 228535, 328953, 447547?\nAnswer: 584293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 8*p**2 + p + 9. Let j be z(8). Suppose -s - j = u, 3*u = 4*u - 3*s - 3. Let i be 32\/12 - 4\/u*-2. Which is greater: 2\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 13 + 7 = -3*b, -5*b = -3*p + 30. Calculate the remainder when p is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 18. Let r = -0.3 + 0. Which is the nearest to -2\/7? (a) r (b) z (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2\/5*l**4 - 18 - 92\/5*l**3 + 92\/5*l + 88\/5*l**2 = 0?\nAnswer: -1, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257851.\nAnswer: 11, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 = -2. Let r(d) = 7*d**3 - 5*d**2 + 5*d - 2. Let l(u) = u**3 - 5*u**3 - u**2 - 3*u + 1 + 4*u**2. What is h*l(y) - 3*r(y)?\nAnswer: -y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -2*j - 12 + 1\/2*j**2. Determine c(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/6501744 and -19\/1625436?\nAnswer: 6501744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4044918135 to the power of 1\/2, to the nearest integer?\nAnswer: 63600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213996?\nAnswer: 2, 3, 17, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/893 and 55\/171.\nAnswer: 8037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*f + 2 + 58 = 2*r - 88*f - 80*f, -11*f - 100 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36451 + -2770235\/76. Calculate the common denominator of 37\/52 and k.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 187906325*b**3 - 34197*b**2 - 689*b?\nAnswer: 1127437950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 144 in increasing order.\nAnswer: -5, 0, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -74321 + 74321 + 2*h. Let x(o) = -2255*o**2 - 2*o. What is j(x(b))?\nAnswer: -4510*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1100 and 3766708?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 369933501 to the nearest integer?\nAnswer: 19234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 2)*(34*l**2 - 15*l**2 + 27*l**2) + 2*l**2 + 0*l**2 + 2*l**2 + (-3*l + 3*l - 2*l)*(0*l + 3*l - l) - 2 + 2 - 2*l**2)*(2*l**3 + 4*l**3 - 5*l**3).\nAnswer: 44*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i = 33*i - 24, 43 = -y - 0*y - 9*i - 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*c + 6369*a**3*i**2 + 3*a**3 - 2*a**2*i - 27*a**2 - 5*a - 44569888*c*i**2 + i**2 wrt c.\nAnswer: a**3 - 44569888*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -81658330 and -19.\nAnswer: -81658349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 5 - 52)*(-3*h + 2*h + 2*h).\nAnswer: -111*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-724)\/(-810))\/((-6)\/(-4)). Let v be (-1488)\/7290 + (-1)\/(-5). Let a = k - v. Put a, -2, 0.4 in increasing order.\nAnswer: -2, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 62*s. Determine q(-1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 3 (b) 0.2 (c) 1\/2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.5, -1, 3\/5, 14\/157?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15918492 to the power of 1\/2, to the nearest integer?\nAnswer: 3990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/9*1*(-972)\/90?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 64531 = -4*c - 64558, 4*c - 5*u + 119 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/75 and -48\/575?\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1496*o**2 + 1507*o**2 + 1471*o**2 - 4474*o**2 - 30*o**3.\nAnswer: -30*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5126233*o**2*t**4 - 3*o**2 + 10564*o*t - 17*t wrt t.\nAnswer: -61514796*o**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15807479 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101388251*n**2*p**4 - 179*n**2 - 314498*n*p**2 wrt p?\nAnswer: 2433318024*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -608592681 by 67621409.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p. Let d(u) be the first derivative of 14 + 0*u + 5\/8*u**4 - 13\/2*u**2 + 0*u**3. Let r(f) be the second derivative of d(f). Calculate r(z(v)).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -39739161*g. Let j(v) = -9*v**2. Give d(j(n)).\nAnswer: 357652449*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -702, -577, -234, 435, 1538, 3183, 5478, 8531?\n\"Answer: 18*l**3 + l**2 - 4*l - 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -7\/447, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10440\/(-140))\/(-29))\/(9\/(-21))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01329 rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/1429988 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 505\/105 + 3\/((-3)\/5). Let q = f + -10\/21. Let a = -62 - -686\/11. Which is bigger: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3424*q**3 + 1073*q**3 + 3*q**2 - 1459*q**3 - 1846*q**3.\nAnswer: -5656*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2. Let v(y) be the second derivative of 2*y + 0*y**3 + 1\/12*y**4 - 1\/2*y**2 + 0. Let n(w) be the first derivative of v(w). What is n(t(o))?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18 + -12)\/(0 - 2). Let o be -2 - (-8)\/4 - r. Solve -o*p = -0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28112684.\nAnswer: 2, 53, 132607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f**(-2\/33)\/f)\/f)\/f*f*f*f\/f**(-1))**11 assuming f is positive.\nAnswer: f**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/5 (b) -0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 726554620*l**2*t**5 + 2000240*l**2 - l*t**3 + 3*l*t**2 - 4*l wrt t?\nAnswer: 43593277200*l**2*t**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78464.68km to nanometers.\nAnswer: 78464680000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + -3*-1*sqrt(65) + sqrt(65) - sqrt(65)) + sqrt(65) + -2*sqrt(65)*-6)\/((sqrt(180) + sqrt(180) + sqrt(180)*1 + sqrt(180))*6 - sqrt(180)).\nAnswer: 17*sqrt(13)\/138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 - 12*s. What is the remainder when 30 is divided by b(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -64. Suppose 408 = 8*n - c*n. Let a = 72 + n. Solve 5*v = 2*l - 2, -2*l - a*v + v = -2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-255)\/(-87) + 3. Let k be -2 - (2\/2 - 3). Which is bigger: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 15*m + 4. Let q(w) = w**2 - 2*w - 6. Let u be q(4). Suppose t - 2*t = -u. What is the units digit of f(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:36 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1604 (base 9) to base 11\nAnswer: -a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100001011110001100001 + 10110110?\nAnswer: 10100001011110100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (38\/6)\/((-1)\/(-9)). Suppose -l - 18 = 5*t. Let y be (5\/t)\/(1\/(-9)). Are 4 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 50*n + 76. List the prime factors of v(15).\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*n = 0, w - 4*n = n. Suppose w = -2*f + 3566 + 540. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 9*y + 1. What is z(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002017236483 to 6 dps.\nAnswer: 0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13418, 13571, 13832, 14255, 14894, 15803?\n\"Answer: 9*m**3 + 90*m + 13319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2. Let t(y) = -4*y**2 + 1428*y - 57. What is t(q(s))?\nAnswer: -16*s**4 + 2856*s**2 - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 326318761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9662, 21577, 37978, 61109, 93214, 136537?\n\"Answer: 374*a**3 - a**2 + 9300*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 15. Let l be (21\/a - -2)*16. What is the units digit of 15\/l*2*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21304 - -21308. Let h(k) = -k**2 - k. Let d(x) = x**2 + x. What is c*d(u) + 5*h(u)?\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) -0.2 (b) -1 (c) 4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((105\/45)\/(15\/(-9)))\/(6\/(-30)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + -2 - (-22 + -2 + 15 + -4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.1. Let j = -0.11 - 0.89. What is the second smallest value in r, j, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742688046 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 72*v**2 + 500*v + 491. What is p(-5)?\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 16. Which is the biggest value? (a) -0.5 (b) j (c) 3 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4435 (base 10) to base 3.\nAnswer: -20002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r - 2. List the prime factors of q(7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-11)*d)\/(d*d\/d**(-3\/2)*d) assuming d is positive.\nAnswer: d**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 6:37 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593352*u - 1780038*u - 8642*u**2 + 8644*u**2 + 593352*u + 593334*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3.2 times -2.7\nAnswer: -8.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from {j: 4, z: 2, n: 1, r: 1, o: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 - (-133 - -130)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 8 - (88 + -97).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 549888810 divided by -5\nAnswer: -109977762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 26. Let i = -2.54 - 0.06. Let x = -11.31 - -11.41. Which is the closest to v? (a) i (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61*0.41\nAnswer: 25.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35625 or 35626?\nAnswer: 35625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1157114 by -5.\nAnswer: 1157114\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*w - 108. Let p = w - 71. Put 4, -2, p in descending order.\nAnswer: 4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**2\/2 - 37219*t\/2 - 93060 = 0.\nAnswer: -5, 37224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13981497 divided by 4\nAnswer: 13981497\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 3*o**2 + o**4)*(2*o + 4 - 4) + 8*o**5 - 9 + 9 + 3*o**5 - o**5 + 0*o**5 - 65*o - o**5 - 3*o**5 + 2*o**2 + 69*o.\nAnswer: 8*o**5 + 2*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 0.1, 5, -1\/263, -5, 0.042?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*j, 3*c = 5*j + 87. Let n = 34 - c. What is the third derivative of -2*x**5 - x**5 + 16*x**2 + 7*x**n - 6*x**2 wrt x?\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 42*o - 178. Suppose 10 = o*f + 16*v - 14*v, -v = -f + 2. Solve f*n = -4*c - 6, 3*c + 10 = 3*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/174 and 14\/551.\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.55*633.43\nAnswer: -981.8165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*s - 32 = 0, -4*a + 25 + 87 = -4*s. Let t be (-62 - 2)\/((-1)\/3). Calculate the highest common factor of t and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4569401401 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35642196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729398573.\nAnswer: 729398573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 995 - 196. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*d**2 - 317*d**2 - 301*d**2 + 1266*d**2 - 320*d**2.\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.07 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*d - 8*d**3 - 9*d)*(3 + d - 3 - 2*d + 2*d - d - 4 - d + 4 + (2*d + d - 2*d)*(0 - 2 + 0) + 0 + 0 - 2*d - 189*d + 40 - 175*d + 372*d).\nAnswer: -24*d**4 - 320*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*g + 576, -5*g + 563 = o + 27. Suppose p + 5*c - o = 0, -13*p + 18*p - 2721 = 3*c. Is 21 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -31. Suppose -3*u + 1 = o - u, -2*o = -f*u - 8. Suppose -5*z + 8464 = -o*i, 0 = z + 3*i - 0*i - 1682. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152 - 151.5. Let h = 2.5 - -9.5. Let u = 12.2 - h. What is the smallest value in l, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 8*g**2 + 24*g + 28. Let k be x(-10). Sort k, -2, 1.\nAnswer: k, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**2 + 1264725*z + 46790718 = 0?\nAnswer: -421538, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = h + 10, 18 = -4*y + 3*h. Let n(t) = -2*t - 4. Let a be n(y). Suppose 106 = a*r + 16. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**0)**(9\/7)\/((x*x\/(x*(x**(-12)\/x)\/x)*x)\/x**8) assuming x is positive.\nAnswer: x**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**2 + 3*p - 11. Let h(a) = -11*a**2 - 4*a + 17. Let s(y) = 5*h(y) + 7*q(y). Calculate s(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (11 - (-1 - -13))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -2879*i**6\/120 - i**4\/24 - 1217*i**3\/6 + 2*i**2 - 50*i - 1. What is the second derivative of j(o) wrt o?\nAnswer: -17274*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0303291 litres in millilitres?\nAnswer: 30.3291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 32 = 11*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 869, 2.3, 0.5 in decreasing order.\nAnswer: 869, 20, 2.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 35 = 3*t, 5*t - 5*t + 3*t = -395 + 386 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-2))\/((-73)\/(-146)). Solve 3*y = n*y - 3*f + 4, 4*y - 4*f = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -56. Suppose 12*z + 54 = d*z. Suppose 0 = -5*b + 5*c + 5, -5*b + 18 = 4*c - 14. Calculate the lowest common multiple of b and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-115)\/35) + (-6)\/(-28)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 24*n**2 + 3*n - 19. Calculate t(24).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5859 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -116*l - 93*l - 40*l - 17*l. Let x(u) = 2*u**2. Determine v(x(w)).\nAnswer: -532*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379054.\nAnswer: 2, 13, 61, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 51489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 9. Let i(z) = -2*z + 19. Let g be ((-10)\/6)\/(2\/6). Let v(s) = g*j(s) - 2*i(s). Is v(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -370, -744, -1130, -1534, -1962, -2420, -2914?\nAnswer: -3450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -83, -188, -335, -524, -755?\nAnswer: -1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 1:48 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**4\/12 - p**3\/6 - p. Let g(x) = -1 + 1 - x - x**2. Suppose 7*w + 8 = 3*w. Calculate w*a(m) + 3*g(m).\nAnswer: -m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 123*v**3 - 34938*v**2 + 2481876*v - 120984.\nAnswer: 3*(v - 142)**2*(41*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 18697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*z + 10 + 22, -3*j = -5*z - 24. Let w = z - -19\/3. Let m be -2 + 13\/11 - -1. What is the nearest to 0.1 in m, w, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30640 + -38692.\nAnswer: -8052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222260 divided by -93.\nAnswer: -222260\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 - -10?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-289 - -252) + (0 - -96).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1166\/332 + (-95)\/(6270\/231).\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**4\/9 - 4*v**3\/3 - 212*v**2\/9 + 196*v\/3 + 784\/9 = 0. Calculate v.\nAnswer: -7, -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100 + 10?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022 is divided by 275?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33764 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 142000*c + 141991. Give p(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 769.\nAnswer: -6\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 29093*s + 1019480.\nAnswer: -(s - 35)*(s + 29128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32444759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*o = -0*o + 111*o - 3*x - 5, 3*o = -3*x - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2061*i - 52. Let g(s) = 3893229*s + 98241. Give -4*g(z) - 7557*w(z).\nAnswer: 2061*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-6)*60\/21.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 1846 + 1826 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -176.622 + 177. Let b = u + -0.078. Which is greater: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (22 - 13) - (0 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3413260 and 200780?\nAnswer: 3413260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 15 = h, -4*h + 2*u = -2*h - 10. Let m(y) = 32*y**2 + 1. Calculate m(h).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -110*m**5\/7 + 1318*m**4\/7 + 23238*m**3\/7 - 50446*m**2\/7 - 1768*m\/7 + 264 = 0.\nAnswer: -11, -1\/5, 2\/11, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1452 + 2070. Is j a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 158117405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2550187430 rounded to the nearest one hundred thousand?\nAnswer: -2550200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + j**2 + 40.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 19 = 59. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + 4*d**2 + 0*d**2 + d - 2*d**3 to w + k*d**3 + f*d**2 + c*d and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 9 = 1. Let t be (-2)\/p + 14\/(-20). Is t greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7155976.03968 + 10096781.0421. Let h = -2940880 + l. Let u = h - -75. Round u to 4 decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 1000?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 2531830.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 15*y**3 + 723*y + 2. Let f(m) = 2*m**3 - 2*m. Give -8*f(c) + l(c).\nAnswer: -c**3 + 739*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -8 - -8 - 12) + 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 + -92. Let j = 3 + v. Solve -3 = -j*d - 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 6*h - 4*h - h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 6 = 6*w - 3*g, 2*w + 12 = -4*g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(190)*-2 + sqrt(190) + sqrt(190) + sqrt(190))*6)\/((sqrt(70) - sqrt(70)*-1)\/sqrt(7)))**2.\nAnswer: -24*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2175 divided by -4.\nAnswer: 2175\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 27*v + 39 = 0. Calculate the greatest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let w = -9 - -11. Let c(h) = 3*h - 1. Let p(y) = w*z(y) + c(y). Calculate p(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*h + 160753 = -96*h + 3*f, 2*f = -h + 40182. What is the ten thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-248 - -243) + 6 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 1277*h + 16 = 1275*h, -21*d - 3*h + 240 = 0 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2) + sqrt(2) + (sqrt(2) - sqrt(16)\/(sqrt(24)\/sqrt(3) + sqrt(8) - sqrt(8))) - (sqrt(4)*-4)\/sqrt(2))**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 2. Let q be p(-4). Let u = 13 + q. Suppose -2*s + u = -5. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**6\/120 - 581*m**5\/12 - 19*m**4\/24 + 33*m**3\/2 + m**2 + 681*m. What is the second derivative of n(c) wrt c?\nAnswer: -6*c - 5810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 7:28 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 384\/13 + -2291\/78. Let o(n) be the third derivative of 0*n - y*n**4 + 0 + 0*n**3 + 9*n**2. Let u(a) = 5*a. Give u(o(g)).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + 15597*y - 61837*y.\nAnswer: -46240*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/636225 and 61\/19125?\nAnswer: 9543375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2. Let g be j(-1). Let u(q) = 641*q - 66668. Let y be u(104). Put g, 2, y, 25 in descending order.\nAnswer: 25, 2, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 7*l + 56, -74*r + 19*l - 12 + 16 = -69*r + 17*l - 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -1 - (0 - 0). Let k = -821 - -888.2. Let m = k - 67.4. Which is the nearest to 11? (a) 2\/15 (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d - 1. Let n(z) = z + 2. Suppose -a = -2*r + 2, -17*r - a + 1 = -16*r. Let i(c) = r*l(c) - n(c). Determine i(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757 a factor of 1294497209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 124 or 0.7341?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from ffnnww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 7622.\nAnswer: 38110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - x + 5*x + 532 = 0, -5*x = -3*u - 391. Let k = u - -192. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 562662000 divided by -2250648.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(4\/76*1). Suppose 4*y + 56 = 4*l, l = 4*y + z + 40. Find the common denominator of ((-1)\/4)\/(y\/470) and -6\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333709 and 4605.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -10*w - 129. Give n(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3376 divided by 4914?\nAnswer: 1688\/2457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -269456, -269459, -269462, -269465, -269468?\n\"Answer: -3*i - 269453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -687980.56 and -1.1.\nAnswer: -687981.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 + 68.8. What is the third smallest value in 1, p, 1\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 97, 137, 199, 289, 413, 577, 787?\nAnswer: 1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9002*-0.2.\nAnswer: -1800.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*l - 294 - 2381 = 0 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15127 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: Suppose -5*p - 20 = 2*t, -p + 4*t - 6*t - 4 = 0. Let o be p\/6 + (-6)\/(288\/28). Which is the biggest value? (a) -3 (b) 2\/17 (c) o (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11587?\nAnswer: 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2940765 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 11 - 5. Let u(h) = -h**2 + 5*h + 24. Let n be u(-3). Suppose n = 19*m - 9*m - 50. Solve -m*c + f = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2 (b) 0.3 (c) -1\/4 (d) -2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 173862 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 13*g + 3. Let u be p(-13). Let w(t) = 41*t - 19. Let d be w(u). Let m = 312 - d. What is the highest common divisor of m and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/12850799 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 575 + -578. What is the closest to -0.1 in -1\/6, -4, d, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let g be (-1 - (2 - 2)) + 1 + (1067 - 1068). Let a(x) = 26*x**2 + x + 2. Give g*a(b) + j(b).\nAnswer: -26*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 2:59 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {b: 4, l: 2, y: 1, d: 1, o: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = -17*g - 2. Suppose -g = -w - 5*c + 14, -2*w + 22 = 5*c. What is the highest common factor of w and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*i + 45 = 0, 2*i + 40 = 5*f - f. Solve 0 = 4*l - 12, -4*r - l = -0*r - f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -82 in 3, -1.3, 6, 4?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.29 + 0.29. Let w be (3 - 2) + 2 - -11. Let k be -2*1 + 24\/w. What is the closest to k in 2, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 7*t**2 - 6*t + 51. Let m be l(6). Let q = 23 - 11. What is the remainder when m\/6*13\/((-78)\/60) is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1936, 3865, 5794, 7723, 9652?\nAnswer: 11581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14797 + -14860.67. Let d = t - -64. Let n = 3.67 + d. Sort n, 0, 0.4 in descending order.\nAnswer: n, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23948 - 23948 + 0*d + 0*d - d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 1. Suppose -8 = -k + 9*k. Let x be b(k). Solve 3*l + 2*l + 25 = x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -2*o - 20. Suppose -5*k + 4*s - 3*s = -31, -s = 4*k - 32. Let n(i) = k*i + 8*i - i**2 - 2 - 12*i. Determine n(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = -2*z + 2119. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32298053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00156113 to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 202, 237, 272, 307?\n\"Answer: 35*g + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {k: 3, x: 2, j: 1, p: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652*s + 230*s = -219*s + 44040 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n - 39*n - 162 = 0. Calculate the lowest common multiple of 9 and n.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 4:25 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/100 and 1\/58780.\nAnswer: 293900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 412444999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxt when three letters picked without replacement from xnxihteehhiine.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuxitttilxli. What is prob of sequence tu?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 3:39 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*p = -9, -2*x + 9*p = 8*p - 5. Let n(h) = 13*h**2 - 52*h**2 + 30*h**x. Let u(t) be the third derivative of -t**4\/12 - 2*t**2. Calculate u(n(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -33, -0.1, -2, -0.3, -4, -4302, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 8:31 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 16 = -2*i, -52*o - 2*i = -47*o - 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**4 - 1650*k**3 + 134465*k**2 + 273900*k + 137780 = 0.\nAnswer: -1, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -3. Let v = 3 - p. Suppose -82 = v*c - 6*c. What is the remainder when c is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22\/17, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 64, 487, 1660, 3967, 7792, 13519, 21532, 32215?\n\"Answer: 64*q**3 - 9*q**2 + 2*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(t\/(t*(t**(-1\/8)*t)\/t))\/t))**12\/((t\/(t**(-13\/5)*t))\/t*t*t*t*t*t*t\/(t**(1\/7)*t)) assuming t is positive.\nAnswer: t**(283\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 3210.\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 221*m**6 + 2 + 18*m**2 - 9*m**2 - 118*m**2 - 45*m**2 wrt m.\nAnswer: 26520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3377486 to the power of 1\/2, to the nearest integer?\nAnswer: 1838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/((j*j**7)\/j))\/((j*j\/j**(-6))\/j))\/(j\/(j\/(j**(-7\/3)\/j))*j*j**7))**(-15\/7) assuming j is positive.\nAnswer: j**(250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 10*i - 10320 = 0. Let h be 12\/24 - 5570\/i. Let z = h + -82\/43. Find the common denominator of -107\/6 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k**4 - 3459005*k**3 + 132096734*k**2 + 107337716*k + 21578232 = 0. What is k?\nAnswer: -2\/5, 39, 138322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 86*f + 20*f - 1776 = -q, -22*q + 61 = -2*f - 19*q for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a century in years?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 540.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or 21465601?\nAnswer: 21465601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) -1\/3 (c) 0 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122121 - 111?\nAnswer: 122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 64*z - 63. Let j(m) = -134*m + 125. Let d(i) = 3*j(i) + 5*s(i). What is the first derivative of d(l) wrt l?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2. Suppose -8 = 3*z - 5*z. Let q be (z\/(-6))\/(1\/(-27)). Let v(l) = q*l - 11*l - 6*l. Calculate g(v(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4357 divide 334513032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n. Let a be w(4). Suppose -3*y - a = -2*q, -4*y + 5*q - q = 4. Is (-6 - (-229 - -3))*y\/(-5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/18 and -115\/21402?\nAnswer: 21402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w**2. Let s(l) = 61*l**2. Calculate b(s(u)).\nAnswer: -26047*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 170 + 22. Suppose 4*j = -5*x + z, -5*x + 34 = -x + j. Let k(g) = -g + 8. Let m be k(x). Solve -c - c = m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/((-33)\/18)*-1. Suppose l = -2*b + 4*b. Let g = 13 + -13. Solve 3 = b*m - g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**2 - 609348*m - 4875040 = 0. Calculate m.\nAnswer: -8, 152345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 4 (c) -0.363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39872*w + 20136.\nAnswer: 39872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*i**3 + 49*i**3 - 2 - 2*i**2 - 21*i**3 to j*i**3 + n*i + z*i**2 + f and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 540, -0.3 in decreasing order.\nAnswer: 540, 29, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -29.\nAnswer: -22\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -3) + (-13 - (-18 - -1)) - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 669889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:12 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-120))\/(((-1)\/18)\/1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (10 + -5 - 4 - 1) - (66 + -80)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -243\/3499?\nAnswer: -243\/3499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3848022?\nAnswer: 2, 3, 313, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 88869798 = 4*f + 88869767, 4*f - 35 = 3*x for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 9771 + 26703 = 4*d, d - 36462 = -2*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -844, -4489, -12574, -26743, -48640, -79909?\nAnswer: -122194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -217 + 0?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + -4 + 10 + -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 380, 302, 200, 74, -76, -250, -448?\n\"Answer: -12*x**2 - 42*x + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27617176273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 29.57. Let r = o - -67.33. Let w = r - 74. What is the closest to w in 5, -1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3862 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1408)\/(-256)*2\/(-2)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -w + 45. Let j = 16 - w. Let x be (-272)\/(-28) - (-2)\/j. Calculate the highest common divisor of 30 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1066 and 1270139.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 18*t - 76. Let f be o(8). Let s(g) = g**2 - 3*g - 10. Give s(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 16 = -2*k - 0*k, -3*k + 8 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3*1 + (-21)\/(-9))*-1. Let p = 8 - 5. Suppose 4*y + p = -9. What is the closest to a in y, -4\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 327.678174 to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n - 4 + n + n + 0*n. Determine g(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -16*q + 3. Let n(z) = -112*z + 20. Calculate -3*n(w) + 20*r(w).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 12 = 5*b, -68 = 5*g + 4*b - 7*b. Calculate the common denominator of 101\/6 and 5\/(-2)*20\/g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(153)*-1 + -3 + sqrt(153) + 5 + -5))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23 less than -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -46 + 2*z**2 + 46. Let y(j) = 39*j. What is y(r(a))?\nAnswer: 78*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 + 87. Which is greater: q or -20?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/48)\/((-430)\/5418).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 345*t - 114*t - 159*t + (-9 + 34 - 12)*(-2 + 2 - 2*t).\nAnswer: 46*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1171710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysyssmymssyym. What is prob of sequence yy?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181824421 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l*s + 136639*l - 620*s - 289 wrt l.\nAnswer: -2*s + 136639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42772*i**2 + 110*i - 18111883 wrt i?\nAnswer: 85544*i + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (30\/9)\/((-70)\/(-84))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 3}. Give prob of picking 1 f and 1 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmyy when four letters picked without replacement from {o: 1, y: 2, m: 1, p: 1, r: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 5738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a factor of 562185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441352522 (base 6) to base 12.\nAnswer: 2798742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 500 divide 53147500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - -12. Let o = 84 - r. Suppose 3 = 4*x - 5. Solve -4*u - 28 = 5*i, x*i - 6 = -o*u - 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86541817?\nAnswer: 139, 622603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-40) + 34\/170. Which is the nearest to 0.1? (a) 1.1 (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -225 + 134050532?\nAnswer: 134050303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**10\/37800 + y**6\/720 - 13*y**5\/60 - 2*y**2. Let b(k) be the third derivative of o(k). Differentiate b(i) wrt i.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, k: 3}. What is prob of sequence tkk?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98069.43 milligrams to micrograms.\nAnswer: 98069430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060890 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 263, 289?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 6) in base 16?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 1, 16893 in ascending order.\nAnswer: -20, 1, 16893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.2 - -1.9. Let c = r - -1.3. What is the second biggest value in c, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*x - 37*x + 124*x - 25*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, -10318\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*j - 5. Suppose 2*t - 3 = j. Solve 3*c + 2*g = -t*g - 18, c + 10 = -3*g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000 - -101011?\nAnswer: -110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1116 and 1630\/45 + 50\/(-225)?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000079162 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-28)\/147*(-7)\/((-84)\/(-18)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -783, -1572, -2367, -3168, -3975?\nAnswer: -4788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -12. Let z = 0 - -1. Is z < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, -19, -114, -265, -472, -735, -1054?\nAnswer: -1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 6. Let z(a) = a**3 - 13*a**2 + 1. Let y be z(13). Put d, y, 2 in ascending order.\nAnswer: d, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvch when four letters picked without replacement from {z: 1, c: 2, h: 4, n: 6, v: 7}.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1 = -16. Suppose 4*i + 755 + 76 = -3*r, 0 = 2*r - 3*i + 571. Let k = 292 + r. Calculate the smallest common multiple of w and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**3\/3 + 225. Let v(c) = -191*c**2. Calculate v(u(j)).\nAnswer: -191*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 36*a**2 + 95*a + 732. Calculate b(-34).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 51\/2, 7, 5\/6, 1\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-525)\/(-10)*60\/(-35). Is 15\/(v\/(-44956))*(-3)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.899997 + -3.9. Round b to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*(-3 + 3 - 2*f)*(-5032 - 4336 + 3490 - 1883) in the form o*f + c and give o.\nAnswer: 15522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 49, -336561 in descending order.\nAnswer: 49, 1, -336561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5919986 is divided by 6836?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h - 3. Let o(i) = 16*i + 15. Determine 11*c(y) + 2*o(y).\nAnswer: -y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590891.8 micrometers to nanometers.\nAnswer: 590891800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**7 - 4*l**6\/3 + 17*l**3\/3 - 6*l + 63. What is the third derivative of n(c) wrt c?\nAnswer: -840*c**3 - 480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211093220 rounded to the nearest one hundred thousand?\nAnswer: -211100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 128 - 128. Solve k = -5*a + 5, 8*a - 4*a - 3*k - 4 = n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 499192472 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 7 = -c, -4*c - 4*v = c - 14. Let f(x) = 35*x**2 + 4*x. Does 12 divide f(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkrrrkvxv. Give prob of picking 2 r and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6.2 - -0.3481\nAnswer: -5.8519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -15 - (7 - 1 - -16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlwammpamlaalaha. What is prob of sequence wpam?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**2 + 0*b**2 + 7*b**2. Let j(x) be the third derivative of -x**4\/12 - 13*x**2. Give j(d(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -719*c**6\/15 - 1495*c**3\/6 - 607*c. Find the second derivative of b(k) wrt k.\nAnswer: -17256*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -859, -1101, -1343, -1579, -1803, -2009, -2191?\nAnswer: -2343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (0\/1)\/(-8 - -9). Let j(i) = 20684*i - 32. Let a be j(r). What is a rounded to the nearest one thousand?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + y - 12 = 0, g - 2*y = -y + 4. Suppose 2*r + 4 = -3*b - g, 4 = -r + 2*b. Does 15 divide -2*r\/8 - -15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5573\/40 + 666\/5. Calculate the common denominator of u and (-12)\/6 + 2 - 3\/(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -164.2 in 2\/9, -0.01, 59, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -593*b*h*t**3 + 2*b*h*t**2 + 1543*b*t**2 + 1139*h*t**3 + 3*h*t - 8*h + 14*t**2 wrt t.\nAnswer: -3558*b*h + 6834*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.779 + -3.59. Let i = -4625 + 4606.989. Let l = n - i. What is l rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 217 - 215. Let a(g) = 56*g**i - 9*g**2 - 28*g**2. Let k(q) = 2*q. What is a(k(t))?\nAnswer: 76*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-24) + -2)\/(2\/(-8)). Suppose -2*l + 2*m + 36 = 0, -14 - 1 = -y*m. Calculate the highest common factor of 6 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1663652 to the nearest 10000.\nAnswer: 1660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-18) - (1067\/(-99) - -11). Which is the closest to -2\/7? (a) 5 (b) r (c) -1\/6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 3) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 28*v + 64. Determine c(24).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 13*w**2 - 93*w - 78. What is the least common multiple of 770 and o(-7)?\nAnswer: 8470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**2*s**3 + 298*n**2*s + 18*n*s**2 + 3*n + s**3 wrt n.\nAnswer: -2*s**3 + 596*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2723*f - 122*f - 1252*f + 930*f - 907*f to q*f + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 129 = -207. What is the lowest common multiple of 8 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 2. Let v be y(-2). Let s = -2 + 36. Suppose -2*q = v*c - c - s, 4*c - 50 = 2*q. What is the remainder when c is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*g + 585*f - 811*g + 2 with respect to g.\nAnswer: f - 811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9242, 9151, 9010, 8819, 8578, 8287?\nAnswer: 7946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -5*y**2\/2 - 2*y + 1. Suppose 0*t + 15 = 3*t. Suppose -8*k = -9*k - 3. Let i(q) = -9*q - 4. What is k*i(f) + t*z(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 671458 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170467 + 156332 = -9903*p for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 245726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)*2)\/sqrt(9)*-6)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -1022022?\nAnswer: 1022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffccff. What is prob of sequence cfc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1160 divide 53888960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/18 - (8\/(-18))\/1. Suppose i = -4*s - 4*y, -3*y + 1 = s - 1. Which is the nearest to s? (a) -2 (b) 4\/3 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -261.598561 - -261.6. Round d to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1481*l - 154. What are the prime factors of g(6)?\nAnswer: 2, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, e: 6, m: 2, c: 1, b: 2}. What is prob of sequence rbb?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 6*i + 5*r + 15, -4*r = 16. What is the hundreds digit of 158 + i - (1 - 16 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + h - 6 = 0, -4*n - 3*h - 36 = h. Sort -117, 1, n in decreasing order.\nAnswer: 1, n, -117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62797.44 tonnes in grams?\nAnswer: 62797440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.9 - -2. Let z = x + 0.8. Which is the closest to z? (a) -4 (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*s + 3262 = -271*s. Is s less than -466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mib when three letters picked without replacement from bimdmb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 616\/11849 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/13)*a*a**(6\/7))\/(a**0)**(-32) assuming a is positive.\nAnswer: a**(274\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22163*w**3 - 2*w**2 - 91*w + 42 wrt w.\nAnswer: 132978*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 3*s**2 + s - 2. Let c be x(2). Solve 2*w - 2 = c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 1\/4 (c) 18 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2102251, 2102091, 2101825, 2101453?\nAnswer: 2100975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-1092)*-4*(-1)\/(-6).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -42 * 0.1\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {j: 2, o: 7, e: 4}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.2 in -1\/2, 1.088, -2\/5, -2\/67?\nAnswer: 1.088","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1245*n + 121957 = -128271 + 60988 for n.\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.13 - 4.87. Let l = 5.79 + -0.79. Let y = f + l. Sort -1\/7, -0.5, y.\nAnswer: -0.5, -1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5 = -29. Let l be (s\/(-9))\/((-6)\/459). Let m = l + 20. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2840909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/4524 and -73\/104.\nAnswer: 9048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-8))\/(2934\/24). Let s = g - 11897\/978. Let j = -107765\/12 + 8992. What is the common denominator of j and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6479 - -194341\/30. What is the common denominator of m and 71\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, b: 1, q: 1, a: 2, m: 2}. What is prob of picking 2 a, 1 q, and 1 v?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.36 - 0.14. What is the fourth smallest value in j, -1\/5, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2) + (-36)\/8. Let y be (-42 - -44)*(-1)\/2. What is the biggest value in y, -15, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14, 29, 54, 89, 134?\n\"Answer: 5*r**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -85492628873612.\nAnswer: 85492628873611.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 52 - 2 = 0. Let o = -13 - b. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1965 (base 13) in base 16?\nAnswer: -ed9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = x - 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1404267 + -15.3516633. Let x = 15.5 + c. What is x rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9\/5 - -17\/15. What is the third biggest value in -2\/55, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -3*s. Let o = -0.5 + 0.2. What is the nearest to s in o, -2, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + n - 1 = -3, -3*n = 2*r + 6. Let w = r + 1. Let v(p) = 15*p - 1. What is the units digit of v(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2. Let k(q) = 321*q**2 - 2 - 950*q**2 + 221*q**2 + 196*q**2. What is m(k(z))?\nAnswer: -179776*z**4 - 3392*z**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.75 + 5.8. Let o = -1.8 - x. What is o rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*3\/(-3)*5\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/9 - 26\/126.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 12*i**2 + 108*i + 1249. Determine s(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + 30\/6 + 387. Let v = i + -394. Solve -v*z = d + 2*d - 4, -2*z + d + 12 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 2*c**2 + 5*c - 8. Let g(q) = -q**3 - 3*q**2 + 5*q - 7. Let t(b) = -3*g(b) + 2*m(b). Let u be t(-5). Let k = u + -17. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4)\/18 - 174\/(-54) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 1.2. Put 0.02, 0.3, h in descending order.\nAnswer: 0.3, 0.02, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16590 (base 10) to base 11.\nAnswer: 11512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - ((sqrt(70) - (sqrt(70) - sqrt(70)*2))*-4 + sqrt(70)) - sqrt(70))\/((sqrt(70)*2)\/sqrt(7)).\nAnswer: 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 950 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2242*y**5 - 3*y**3 - 10084*y**2 + 2*y + 2?\nAnswer: 134520*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7870\/11 + 716. Let p = 21\/22 + t. What is the second smallest value in 5, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + t + 8, -4*t - 3 = 3*u - 1. Let l(p) be the second derivative of 1\/3*p**3 + 1\/12*p**4 + 1\/2*p**u + 0 + 4*p. What is c in l(c) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a + -477cb9?\nAnswer: -477cd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0 = 5. Is g at most as big as 3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 9. Let v(u) = 6*u - 8. Let y(s) = 5*s - 8. Let o(w) = -6*v(w) + 7*y(w). Let b(a) = -2*k(a) - 3*o(a). Give b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -5.2. Let l = -0.2 - 0. Let q = 1163\/9 + -129. Which is the second biggest value? (a) u (b) l (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303246144 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49492 and 5011065.\nAnswer: 20044260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -63*n + 148 - n**3 - 69*n + 130*n. Let o be a(0). Let s = -22 + o. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 4. Let s be h(-3). Suppose -8 = o - l, -s - 3 = -5*l. Calculate the smallest common multiple of 2\/(-6) - 122\/o and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - v**2 - 2*v**2)*(0*v**2 + 3*v**2 - v**2) - v - 3*v**3 - 7*v**4 + 5*v**3 + 3*v**4.\nAnswer: -2*v**4 + 2*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1*o*o)\/o)\/(o*(o\/(o\/(o\/(o*o\/(o\/(o**(5\/6)\/o))))))\/o)*(o*o**(2\/23))**19 assuming o is positive.\nAnswer: o**(3103\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -163*l**2 - 2 + 1451*l**2 + 3 + 1538*l**4 + 3600*l**4 wrt l?\nAnswer: 123312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 8, 5*b = 4*c - 0*b + 62. Let o be (-88)\/(-234) - (-4)\/c. What is the closest to -4 in -2, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + a - 7 = 3, 2*a = -3*i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 x when three letters picked without replacement from {u: 3, i: 1, a: 5, x: 7}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10100232 - -1032?\nAnswer: 10101314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-15) - 2\/5. Suppose -24*w = 5*k - 28*w - 40, -q*k + w + 16 = 0. Calculate the greatest common divisor of 32 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 7 + 7. Let b(r) = 22*r**2 - 39*r + 3. Let n(w) = 1121*w**2 - 1976*w + 152. Let q(a) = 152*b(a) - 3*n(a). Give v(q(o)).\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/(-2) - 2814\/(-63). Calculate the remainder when 3 is divided by (l\/(-6))\/(-3) - 3\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.78 - -24.82. Let k = 25.6000457 - a. What is k rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17631*i*r**3 - 8*i*r**2 + 19*i*r + 6*i - 3*r**3 - 2*r**2 wrt r?\nAnswer: -105786*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -781 + 780.941. What is the nearest to 2 in -5, b, 0.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-10))\/(-16*2\/8).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*g + 3*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31959, -76208, -120457, -164706, -208955, -253204?\nAnswer: -297453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2\/7 + 699*d\/7 - 1370 = 0.\nAnswer: 14, 685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/5)\/(6\/(-15)). Is 113\/q*2*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 99754, -0.4 in descending order.\nAnswer: 99754, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a. Let q(x) = 408175*x - 70. Let h(s) = 127558*s - 22. Let v(f) = -35*h(f) + 11*q(f). Calculate v(l(k)).\nAnswer: 50790*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 2*j**2 + j + 10. Let t be p(4). Let b be ((-14)\/(-4))\/((-9)\/t). List the prime factors of (b + 2 + -2)*3.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7071.434 nanometers?\nAnswer: 0.000000007071434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/26 and -79\/46300.\nAnswer: 601900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455227065 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 40. Suppose -2*m + 5*f - 1 = 0, -f + 1 + z = 0. Let x(k) = k**2 + 3*k + 14. What is the units digit of x(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5491338211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in -55, -3, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 - -261. Which is bigger: i or 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 - -73.3. Let c = k + 6.7. Sort 0.7, c, -0.5 in decreasing order.\nAnswer: 0.7, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2843996*l + 2844012*l - 5688011*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -80 + -67\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -13*w**2 - 4*w + 2. Let v(m) = -8*m + 2 + 4*m**2 - 4 + 3*m**2 + m**3 - 7. Let b be v(-8). Let l(h) = -6*h**2 - 2*h + 1. Determine b*l(z) + 4*r(z).\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 13\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - s = -0*u - 1, 5*s - 5 = u. Suppose u*k - p = 2*k + 7, 0 = 5*k + 5*p + 30. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/2, -1, -133\/340, -13?\nAnswer: -133\/340","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 4*z + 7*z)*(4 - 3 - 4)*(-9 + 4 + 2).\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -944 + 1341. List the prime factors of a.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*v + 6*f - 1926, -v + 1919 = -f. Which is smaller: v or 1921?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2128 - -2188. Solve -l = 11*f + 9*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + 17*96\/136?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/4 (b) -1 (c) -0.6 (d) -11.6 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -143650*u**2 + 1368 + 144911*u**2 + 571 wrt u?\nAnswer: 2522*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*f - 8 = 55*f. What is the hundreds digit of f + 2 + (5 - -587)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -622264 (base 7) to base 12.\nAnswer: -5174a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**3 - 5*q + 26. Let f be 81\/(-54)*24\/(-9). Suppose -r = f*r - d - 51, -59 = -5*r - d. Let w(x) = -x**3 - x + 5. Determine r*w(m) - 2*z(m).\nAnswer: -m**3 - m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wukbqwj. What is prob of sequence kujb?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 + 5 + -13) - (41 + -26).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2838 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -2*z - 13. Calculate the highest common divisor of 45 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4176187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (14\/4)\/((2 + -5)\/(-114)) is divided by 906\/54 + (-4)\/(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -171396, -171413, -171430, -171447, -171464, -171481?\n\"Answer: -17*j - 171379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210 + -195. Let c = 4 + r. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5124466, 10248978, 15373490, 20498002?\nAnswer: 25622514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/15)*z**4)**(-23)*(z**3\/z)\/z**(-2)*(z\/(z**0*z))**46 assuming z is positive.\nAnswer: z**(-1619\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*d - 0*d + 124 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y. Let t(g) = -16*g + 2. Let u(i) = 609*i - 77. Let f(p) = -77*t(p) - 2*u(p). Calculate x(f(k)).\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 + -1.55. Let i = a - -2.4. Which is smaller: i or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 17*h - 3 + 1 + 7 - 11*h - 1. Determine d(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by -2 - ((-962)\/26 - (0 - 3)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 14 = -5*b, 2*a - 27 = -21. Put 47, 5, b, -1 in increasing order.\nAnswer: -1, b, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4 - 5*b**2 - 4*b - 5 - 2*b**2. Let j(g) = -8*g**2 - 5*g - 1. Give 6*a(h) - 5*j(h).\nAnswer: -2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.4 + 21.4. Which is the closest to m? (a) -0.5 (b) 3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (30 + (-47 - -39))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -151*f**8\/168 + 12*f**5\/5 + 118*f**2 - 2. What is the third derivative of p(b) wrt b?\nAnswer: -18120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 10*w**2 + 11*w - 1. Suppose -4*t + 56 = 5*s, 3*s - 43 = -3*t - 7. Let l(z) = -z**2 + 8*z + 9. Let k be l(s). Is h(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9131.\nAnswer: 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 5:07 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 - 117*l\/4.\nAnswer: l*(l - 117)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -450.3 + 373. Let q = y + 81. Let r = q + -4. What is the nearest to -0.1 in r, -2\/5, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -123, -0.5, -37, 5, -0.04?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (5 + -3) - -1. Let a be ((-3)\/(3\/1))\/i. Solve 4*s = 5 - a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-4) - -2)*2. Let n(t) = -t**3 + 8*t**2 - 7*t - 3. Let d be n(w). Sort d, -2, 3 in descending order.\nAnswer: 3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*v, -w + 6*w + 16 = -v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 40*q + 17. Let t be x(41). Let u = t - -76. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/v**(2\/13))\/v))\/((v**(-1\/12)*v)\/v*v) assuming v is positive.\nAnswer: v**(37\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -4*g - 2 + 4, 3*g - 1 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0064231929 to 5 decimal places.\nAnswer: -0.00642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 994*b + 357*b - 1 - 904*b as q*b + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 6137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*w - 4*g**3 + g**2*w + 105*g**2 + 224*g*w - 13*w wrt g?\nAnswer: 12*g*w - 24*g + 2*w + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 48, -8, 3, -0.0393?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n*n\/(n*n**(3\/10)*n)))**(2\/47) assuming n is positive.\nAnswer: n**(33\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1\/19, 1501 in decreasing order.\nAnswer: 1501, 1\/19, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n - 5*o - 2 - 38, -o = 3*n - 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13293, -26657, -40021, -53385?\n\"Answer: -13364*s + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**3 + 3*p + 334. Let u(d) = -12*d**3 + 7*d + 668. Calculate -7*s(z) + 3*u(z).\nAnswer: -z**3 - 334","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 891 (b) 5 (c) 0 (d) -2\/3 (e) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 381\/(-12) + (-81)\/(-108). Let f(a) = 17*a + 3. Let o be f(-2). Do q and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 4. Let m(c) = -6 + 3*c - 17 - 2*c**2 - c**3 + 15. What is the remainder when 21 is divided by m(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*f - 34*f - 31*f)*(-14 - 20 + 17)*(-1 - 2 + 4).\nAnswer: 51*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 43*v. Let z be 1\/(-10 + 7 + (-1008)\/(-333)). Let c(t) be the first derivative of 0*t + z + 1\/2*t**2. Calculate c(l(b)).\nAnswer: 43*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**3 - m - 3*m - 8*m**2 - 5 - 3*m**3 + 0*m. Let b be v(9). What is the highest common divisor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*s - 27 + 6, -5*s + 30 = 4*f. Let w = 0.07 + -0.07. Let u = -114 - -114.2. Which is the nearest to u? (a) f (b) -0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 6\/19 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 40. Let j be 0*(-4 + d\/2). Which is the third smallest value? (a) 4 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**3 - 6*l + 4. Let k be (-17 - 0)\/(-6 + 4 - -1). Let d(a) = -17*a - 4*a**3 - a**3 + 14*a**3 + 11. What is k*y(m) - 6*d(m)?\nAnswer: -3*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j - 16. Let n(k) = 8*k - 1. Let r(z) be the third derivative of 7*z**4\/24 - z**3\/6 + 3*z**2. Let y(u) = j*r(u) - 3*n(u). Calculate y(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**5 + 12219866*t**4 - 6043*t**2 + 4*t + 74.\nAnswer: -60*t**2 + 293276784*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 22875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-7\/3)*l*l))\/l**(-6)*l**(-2\/15)\/l**(1\/7) assuming l is positive.\nAnswer: l**(146\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1794.24 micrograms to tonnes.\nAnswer: 0.00000000179424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 234.3 - 225. Let z = -9 + t. Which is the second biggest value? (a) 4\/3 (b) z (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*j - 4 - 8)*(-7*j + 2*j + 2*j)*(0 + 3 - 2).\nAnswer: 12*j**2 + 33*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/((-1144)\/11)*40\/355?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7338.56ml in litres?\nAnswer: 7.33856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2429769c - 5?\nAnswer: 24297697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, o: 1}. Give prob of sequence jjjo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39914 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3762897 years to centuries.\nAnswer: 0.003762897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 6*x + 3. Let q be m(-6). Let y(g) = -g + 2. Let d(u) = 2*u - 2. Let i(o) = q*d(o) + 4*y(o). Let z(k) = k + 1. Give -i(b) + 3*z(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 20*t**2 + 53*t + 672. Let l be a(-21). Solve -6*p + 6 + l = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.43 - -1.57. Let m = 2 - 2.06. Let p = m + 2.06. Which is the smallest value? (a) p (b) 1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12958 - -18190372153\nAnswer: 18190385111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207 divided by 2.\nAnswer: 207\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 17394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4690 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -466511876*h**3*p**2*v**2 + 2279*h**3*p + 4*h**3*v + 2*h**3 + 5*h**2*v**2 + h*p + 10*h*v**2 wrt p.\nAnswer: -933023752*h**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2815 divided by -6\nAnswer: -2815\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 154*j**2 + 47*j + 45. What is the remainder when p(-1) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o - 4. Let n(q) be the first derivative of -q**3\/3 - 3*q**2\/2 + 37*q + 46. Let z be n(5). Calculate t(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000067956 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -160829.65 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11960.43 - 1680.\nAnswer: -13640.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 798.62956 + -799.1. What is a rounded to two decimal places?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108903 or -109124?\nAnswer: -109124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:05 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 64742?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 242\/(1\/1). Suppose -3*r - 54 = 5*p - u, r - 76 = 5*p. Suppose 12 = 2*x - r. What is the remainder when x is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.03738 (b) -0.5 (c) 3\/4 (d) 139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 266, 528, 790, 1052, 1314, 1576?\nAnswer: 1838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 7, -6, 0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + sqrt(64)\/sqrt(2))**2.\nAnswer: 52 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -494\/7 smaller than 0.021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*x - 35 = -25, -5*x - 40 = -3*q. Solve 0 = q*g + l - 3, -12 = -4*g + l - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 3*x + 10. Determine f(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {q: 2, r: 16}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 11:03 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1230\/123)\/(3\/(-6))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 568245 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 704209361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0094 and -12?\nAnswer: -0.1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:44 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2011*q**3 - 2021*q**3 + 14*q + 1 in the form s + d*q + f*q**2 + l*q**3 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.3, -1, -0.11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*b - 11. Suppose 0 = u + b*u - 30. Let p be 2 - u*2\/9. Is 0 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - -3.99. Let i = l + -3.9. Let g = 6.5 + -6.4. Is i greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29650 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/2*(-16 + (-10176)\/(-36))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-10)\/(-2)*(-2)\/(-5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**5\/2 + 1963*y**4\/4 - 15705*y**3\/4 + 23497*y**2\/4 + 34791*y\/4 - 1595 = 0.\nAnswer: -1, 1\/6, 4, 5, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.4, -1\/34, -3\/7, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17) + -4 - -6*sqrt(85)\/sqrt(5))**2 + (3*(sqrt(612) + -1))**2*-6.\nAnswer: -32244 + 578*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -6, 27, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n + 50 = 54*n. Let d = 56 - 40. Solve -3*u = -t + 8, -n*u + 3*t = -6 + d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7 = 3*p + 1, 0 = -4*p + 3*k + 33. What is the tens digit of 1\/6 + 269\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**8\/112 + 11*r**7\/70 + 3*r**6\/10 - 2*r**2 + 98*r. Factor u(o).\nAnswer: -3*o**3*(o - 12)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**2\/v))**(-2\/3)*v**(1\/9)*v*v**3*(v*(v*v\/v**(-1))\/v)\/v**(-9)*(v\/(v\/v**(-1\/2)))\/(v\/(v*v*v**(-1\/3)*v)) assuming v is positive.\nAnswer: v**(311\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (-12)\/(-8))*22. Let i(t) = t**2 + 13*t. Let g be i(c). Let m = g - -38. What is the remainder when 62 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22023 is divided by 1285.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -2. Is 2*(h - 407\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 7*g - 2. Let b(f) = -2*f**2 + 21*f + 7. What is 2*b(y) + 7*q(y)?\nAnswer: 3*y**2 - 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 22*z**2 + 17*z - 116. Let x be h(-23). Is 2 a factor of 297\/x*(-24)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 - -115. What is the remainder when 22 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560494?\nAnswer: 2, 11, 73, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1001 by 1.\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -313 + 12*j + 313 + (j + 3*j - j)*(-2 + 0 - 3).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, k: 4, x: 1}. What is prob of picking 2 x and 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.83 + 3.93. Which is the second smallest value? (a) 48 (b) 2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 9:52 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkwwkkk. What is prob of picking 2 w and 1 k?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1793505 at least as big as -1793505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 153075 a multiple of 471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0151959272 rounded to 5 decimal places?\nAnswer: 0.0152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7 = -o + 8, -y + 79 = 5*o. Suppose 49*m = 48*m + o. Solve 5*r = -z + m + 9, -12 = -4*z + 2*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21795816202822.02900057 + 21795816109995. Let v = m - -92826.229. Let x = -0.8 - v. What is x rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*h**3 - 50*h**3 + 106*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -47. Let q = 90 + -89.8. Which is the closest to -2? (a) q (b) o (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 13, y: 3, h: 1, m: 3}. What is prob of picking 1 h, 1 m, and 2 f?\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 1 = -6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.64206l in millilitres?\nAnswer: 93642.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 + 8*p**2 - 10*p + 16. Let q be c(4). Let b(y) = -y**3 - 24*y**2 + 2*y + 50. Let i be b(q). Factor 450\/19*g**i + 8\/19 + 120\/19*g.\nAnswer: 2*(15*g + 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 3 + 3)*(1009*o**2 - 1898*o**2 + 893*o**2 + 4*o**3 - o + 31) as z*o**4 + y*o**3 + c*o + b + x*o**2 and give c.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -18. Let w be m\/(-6) - (-60)\/45. Let n(q) = q**2 - 1. Suppose 4*v + 0*y - 3*y - 5 = 0, v - 3*y = 8. Let l(x) = x - 5. Calculate v*l(d) + w*n(d).\nAnswer: d**2 - d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006845 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 2*n**3\/3 - 15*n**2\/2 - n. What is the units digit of j(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 18*m**2 - 8*m**2 + 13 - 2*m**2 - 7*m**2 + 267*m in the form h*m + x + f*m**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 128*k**3 - 158*k**3 + 14*k.\nAnswer: -286*k**3 + 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48591732?\nAnswer: 2, 3, 7, 23, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65142 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314561?\nAnswer: 3, 157, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(3\/((-9)\/6)). Solve 0 = i - o + t, i - 2*o = -6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -346.0306 + 0.0306. Let r = 46512 - 46861.59. Let a = r - g. What is a rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -242121 + 242120.5. Let h = -3 - -6. Sort 10, h, a in decreasing order.\nAnswer: 10, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*m*o - 1887*h**2*m + 3*h**2*o + 2*h*m + 2*h*o - h - 70*m*o - 185 wrt h?\nAnswer: -4*m*o - 3774*m + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -145, -268, -425, -616, -841, -1100?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.23 + 0.25. Round x to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g + 70. Find the first derivative of g*b + 10*b + 10 - 38*b wrt b.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*d + 2*d + 24, 3*d + 13 = -2*j. Let r be -4 - (2 + -6 + j). Let p(v) = -138*v**3 - 3*v - 2. What are the prime factors of p(r)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4 + 666501*l**3 + 37022297430*l**2 + 407171293452*l + 370149662520 = 0. Calculate l.\nAnswer: -111078, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w = -35. Suppose -w*f = -339 - 109. Let r = f - 10. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 3\/5 (c) 0.3 (d) 8912\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6778.038 millilitres in litres?\nAnswer: 6.778038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + y. Let t(j) = 36*j**3 + j**2 + 3*j. Let a(x) = 2*d(x) - t(x). Is a(-1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 13*n - 11. Let d be h(1). Solve 0*b**2 + 100*b - 49*b - 3*b**d - 27*b = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3584, -7738, -12448, -17708, -23512, -29854?\nAnswer: -36728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jphqjipqijpbjpjp. Give prob of sequence qh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**4\/2 + b**3 - 2*b**2 - 4*b + 2. Let h(j) = 2*j**3 + 2*j**2 - 3*j - 3. Let s(t) = 6*h(t) - 5*m(t). What is s(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**3 - 11*w**2 - w - 64. Let x(s) = -2*s**3 - s + 1. Let k(b) = r(b) - x(b). What is the derivative of k(y) wrt y?\nAnswer: -6*y**2 - 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*1.425533.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*x + 189, -4*x + 3*i = 5*i - 186. What is the greatest common divisor of x and 495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-1 - 4) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-8555)\/118)\/(-145))\/(3\/(-528))\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*o - 7 = 0, -6*w - 496 + 475 = 3*o. Suppose 3*h + h = 20. Let p(q) = h + 3*q + 0*q + 0 - q. Let y(m) = -1. Give w*p(a) - 10*y(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 4:38 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 0*w - w**3 + 3\/2*w**2 - 4. Factor o(r).\nAnswer: -3*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 338, 206, -5, -4 in ascending order.\nAnswer: -5, -4, 206, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 + 4*f**2 - 6*f - 9. Let a be i(-2). Let h(k) be the second derivative of -k + 3\/2*k**2 - 1\/20*k**5 + 0*k**3 - 5\/12*k**4 + 0. Calculate h(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*259\/740*3*(-8)\/(-6)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1900)\/2850)\/((1\/(-27))\/(3\/3)). Solve -3*u - 4*y = -9, y - 4*y = -6*u + h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -6.\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 12*u = 5*x + 47, 0 = 3*u + 2*x - 226. What is the remainder when 935 is divided by u?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00897307 rounded to 4 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x**2 - 6*x**2 + 11*x**2)*(-2*x**2 - 3 + 3)*(6*x - 2*x - 3*x).\nAnswer: -30*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s. Let g(p) be the second derivative of -p**4\/3 + p**3\/3 + p + 9. Give y(g(k)).\nAnswer: 8*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Let d(f) be the first derivative of -1\/18*f**4 + 0*f**h + 0*f**3 - 1 - 2\/45*f**5 + 0*f. Factor d(z).\nAnswer: -2*z**3*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1633.719 months?\nAnswer: 13.614325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 - 6644*o\/3 - 134080.\nAnswer: (o - 6704)*(o + 60)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*j = 42*j + 45 + 1044 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 172694424 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127131567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 155*-3\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188 and 243057.\nAnswer: 45694716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*k = 70*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 3. Suppose -c + 7 = -r. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2026 - 4?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m - 8*m + 62 - 682 = 0 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 3*s + 0*s)*(-1 - s**3 + 1) + (1 + 2*s**3 - 1)*(-s - 3*s - s) in the form y*s**2 + x*s**4 + r*s + j + l*s**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9197*i**3 + 11*i**2 - 47*i - 155. Is l(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.382, -5, -2, -2\/7 in decreasing order.\nAnswer: -2\/7, -0.382, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 11 = 2*f + 14*n, n = -3*f + 9. Suppose 2*o + 5*s = 576, f*o + 4*s - 316 = 258. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -209 - -221. Solve 0 = 2*j + l*j - 42 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h*t**4 + 33*h*t**3 - 274*h*t**2 - 28*h*t - h + t**4 - 46*t**3 - 2 wrt t?\nAnswer: 48*h*t + 198*h + 24*t - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 52 = 4*z, -z + 43 = -4*z - q. Let h be (-10)\/z*-3 - -4. Which is smaller: 5\/9 or h?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -16*l**2 + 2*l + 43. Let b(g) = -2*g. Determine h(b(n)).\nAnswer: -64*n**2 - 4*n + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28577603 is divided by 3278.\nAnswer: 3277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:10 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 146*l**2 + 137*l**2 - 302*l**2 - l**5 + (0*l**4 + l**4 - 3*l**4)*(2*l - 6*l + 2*l).\nAnswer: 3*l**5 - 19*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 486860 = 37*l. Round l to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592431.\nAnswer: 3, 7, 28211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4774, -19151, -43122, -76681, -119822, -172539, -234826, -306677?\nAnswer: -388086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 444 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1782423292 - 2553980729. Let g = x + 6680915791320\/8659. Let v = g - 2\/8659. Calculate the common denominator of v and 61\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -31. Suppose -s - y*s - 2960 = 0. Let i = -167 - s. Calculate the remainder when i is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + l + 4 = 0, -2*y + 4 = y - 5*l. Let r be -5 - 3\/y*-2. Is 64\/(2 - (-12)\/r) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1422672 and 7\/161473272?\nAnswer: 322946544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f = 2*a - 42, 4*a - 74 = -f. Suppose 3*h - 11 = 7*h + 3*k, -2*h - 4*k = a. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in -12, -2, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.02 + -7. Let k = -3.98 - q. Let h be (1 - 1) + (-2)\/2. Which is bigger: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 570357 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/(-4*(-9)\/24). Solve -r + 2*h - u = 0, -2*h = -5*r + h - 35 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 + -3 - -1)*4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 319.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6670063 meters in millimeters?\nAnswer: 667.0063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18868.39495492 - -8.1.\nAnswer: -18860.29495492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**2. Let j(v) = 36*v. Calculate j(z(b)).\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 103761 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u - g - 18 = 0, 0 = -3*u - 5*g + 2. Suppose u*p = -0*p + 64. Let v be (-6)\/p - 2\/(-4). Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (76 - 39 - 11)) + -36\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02158517 rounded to four dps?\nAnswer: -0.0216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 3*r + 4. Let a(v) = v**2 - 6*v + 1. Let z be a(5). Let x be n(z). Suppose 12 + x = 4*d. Solve -d*w - 15 = -0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -6)*(-1220)\/80 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -147*n + 110*n + 518 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*y = -109*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12907809 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 1\/3 (c) -178 (d) -0.155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1162 and 1806910.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**3 - l**2 - 7*l - 8. What is u(-2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/4 of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n - 1. Let t be f(2). Let y be 24*(2 - -1)\/3. Let h = y + t. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = 66*l - 87*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-297)\/324 + (-7)\/84*-15. Let n(u) be the third derivative of 1\/30*u**5 - h*u**3 + 12*u**2 - 1\/420*u**6 + 1\/84*u**4 + 0 + 0*u. Factor n(w).\nAnswer: -2*(w - 7)*(w - 1)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1399 divided by -8?\nAnswer: 1399\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24\/11? (a) -35 (b) 1\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122.053 + -5.993. Let c = 118 - f. Let i = -0.06 - c. Is 1 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -379*v - 460*v - 373*v - 368*v + 1579*v. Let p = -8 + 11. Let w = -16 + 8. Let u(b) = -4*b. Give p*u(c) + w*g(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -409856172 divided by 11?\nAnswer: -37259652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36250 + -36261.5908. Round g to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xan when three letters picked without replacement from {a: 1, t: 1, n: 1, d: 1, x: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 6, 3 = -s - 7*t + 4*t. Let m(a) = -a**3 - 7*a**2 + 3*a + 4. Let h be m(s). What is h rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5134 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3266201369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/81*(6\/(-8) - 277095\/1508)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/114793844 and -51\/4?\nAnswer: 114793844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 185*m**2. Let u(s) = -370*s. Calculate r(u(b)).\nAnswer: 25326500*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 20*w**2 + 21*w + 97. What is the remainder when k(-4) is divided by 49?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 22. Suppose 5*x = -m*y + 10, 0*y = -y + 3*x - 6. Suppose 2*b - 4*k + 8 = y, 3*b - 3*k + 2 = -2*k. Solve 5*s + b*s = -25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**3 + 1\/8*x**4 + 3*x**2 + 0 - 9*x. Let f(a) be the first derivative of m(a). Give f(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -1, -457, -13 in decreasing order.\nAnswer: 0, -1, -4, -13, -457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 1\/7, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, j: 3, q: 4, i: 3}. Give prob of picking 2 j and 1 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 55*f - 10. Suppose 0 = s - 5*r - 4, -2*r + 6 = s + 2. Let k be v(s). What is the greatest common factor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-371)\/(-4))\/(2\/(-8)))\/(-1). Suppose -g = -4*x + 161. What are the prime factors of x?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, -3\/5, 3\/8, 4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 133 = -2*c, h = -c - 2*h + 65. Let o = c + -42. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8671*x - 277453. Calculate h(-32).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1132)\/566)\/(2\/(-20)*8\/195838) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 848 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 5, w: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8068 = p - 4*t, -2*p + 7*p - 2*t = -40304. Let o = 129029\/16 + p. Calculate the common denominator of o and -13\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 + m - 1. Let u = 0 + 1. Let o be q(u). Let b = 0.011 - -0.989. Is o greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-1 - -2) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 124*r + 510. Calculate the remainder when 921 is divided by g(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.013615+-1414\nAnswer: -1413.986385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31921 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.99999891 + -1. Round p to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 2)*(0 - m**4 + 0) + (2*m**3 + 6*m**3 - 4*m**3)*(0*m + 6*m - 3*m).\nAnswer: 11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42608 is divided by 204.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 11013*i + 5 + 0.\nAnswer: -11013*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - y + 3 - 1. Let c(x) = x**3 - 2*x**2 - 15*x + 32. Let q be c(3). Let z be r(q). Which is greater: -12 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 71*u**4\/12 + 37*u + 2. Let l(d) = -2*d. Calculate l(q(a)).\nAnswer: -142*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 10) + 18 + -3 + -11 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70042789?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76647*a*u**2 + 2*a*u - 12420756*a - u - 2 wrt u.\nAnswer: 153294*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 3. Let n be a(7). Let f be 7\/70 - (-19)\/10. What is the third derivative of n*p**6 + 5*p**f - 2*p**2 - 5*p**6 wrt p?\nAnswer: 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1190 and 546980?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6\/(-2) - -22*(-288)\/(-1386)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4954 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 7. Let i be j(5). Suppose -2*f = i*f - 44. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 6*a + 4*a - 30 = 0, 662*t - 16 = 661*t - 3*a for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-318)\/(-72)) + (-80)\/8 + 17.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + o - 4 + (0 + 0 - o)*(-3 - 2 + 4) + 4*o + 4*o - 7*o + (1 + 2 - 5)*(17*o + 17*o - 12*o) + 0 + 2*o + 0 as i*o + k and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrjnwjjwnwr. Give prob of picking 2 w.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 - -0.07. Let y = -1 - 0. Let u = 42 + -293\/7. What is the closest to o in -2\/17, y, u?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317593?\nAnswer: 19, 31, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001221 rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v - 55 - 22. Let n(r) = -7*r - 33. Suppose d - 11 = 5. Calculate the remainder when n(v) is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 20 - 5*v**2 - 13 - 69 - v**2 to n*v**2 + y + s*v and give y.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/41252256 and 22\/87?\nAnswer: 1196315424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1638, 1639, 1640, 1641, 1642?\nAnswer: 1643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-16 - -8) - 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10*u + 4. Suppose -10*m - 273 = -23*m. Let o(h) = 21 - h - 6*h - 47*h + 3*h. What is m*n(s) - 4*o(s)?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -78572.904 to the nearest one thousand.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 >= 610\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g - 5. Let u be (-2)\/12 + (-23)\/6. Calculate n(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 9. Let t be v(6). Suppose -4*p + 2*x = -12, 0 = -3*p - t*x + 8*x - 5. Let r be 50\/20*1\/p. Which is the closest to -2\/5? (a) r (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -78591.\nAnswer: 8\/78591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*f - 31*f + 35 + 5*f + 14*f - 141 as a*f + b and give b.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, -3, 1\/6, -3.3, 0.1, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 6 + 6)*(2*o + 3 - 5*o + o) + o**2 - 2*o**2 + 0*o**2.\nAnswer: 3*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*q + 9, 71 = 2*k - 5*q + 56. Does -2\/267 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -41*x + 32. Let l be q(-8). Let f = -2512\/7 + l. Determine o so that f*o + 12\/7 - 4\/7*o**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.14 (b) 2\/9 (c) 5 (d) 0.017 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2875*w - 5667*w - 2205*w - 1588*w as v + s*w and give s.\nAnswer: -12335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8\/13 + 85\/117. Let v be 17*14\/4998*-6. Let g be (-9)\/6*(-8)\/(-30). Which is the biggest value? (a) g (b) k (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5431762.\nAnswer: 2, 7, 41, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 322 = -10*i + 518, -55 = -5*j - 3*i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + b - 3, -4*b = 5*j - 189. Suppose -29 = -2*u + j. Suppose u = 5*w - 77. What is the highest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2039152166?\nAnswer: 2, 1019576083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 + 2 = 0. Let p(r) = -3*r - 2*r - 4*r**3 - 2*r**2 + 4*r. Let q be p(-1). Is k != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -0*d + 46*l + 127*l + 3104, -3*l + 32 = 86 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00287 + 0.\nAnswer: 0.00287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2030 divide 5340930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 482*9\/(-36) + (-6)\/((-12)\/5)\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84729092 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.6 less than or equal to 433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010100001000101110 (base 2) in base 3?\nAnswer: -1122010220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.01 + 42.03. Let z = -3.72 + o. Let k = z - 18. What is the biggest value in 3\/5, k, 1\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}