diff --git "a/data/dm_maths/full_data/1397_11255.jsonl" "b/data/dm_maths/full_data/1397_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1397_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let g(w) be the first derivative of 2*w + 0*w**5 + 13\/3*w**3 - 14*w**6 + 0*w**4 + 223 + 0*w**2. What is the third derivative of g(o) wrt o?\nAnswer: -5040*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307612950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 3 (c) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**2 + 9. Let s = -50 + 14. Let b(c) = c**2 - 1. Determine s*b(y) - 4*r(y).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**2 - 656295*u + 656298 = 0. Calculate u.\nAnswer: -218766, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 7. Let f(k) = k + 6. Let r(g) = -6*f(g) + 5*h(g). Let t(b) = -105*b + 151. Let z(j) = -2*r(j) - t(j). Differentiate z(w) wrt w.\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 304 and 684?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5 = 3. Suppose 17 = 4*g + d. Let 3*r**g - 2*r**3 + 1 + 2*r**4 + 2*r - 6*r**4 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186196 is divided by 713?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**5 - 3*v**4 + 3488*v**3*y + 2*v**2*y - 678*v**2 + 4*v wrt v.\nAnswer: 180*v**2 - 72*v + 20928*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4644*o + 18675*o = -6769*o - 275959 - 1596041 for o.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4551.33 rounded to the nearest ten?\nAnswer: -4550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a week?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 62*r**6\/15 - 55*r**5\/3 + 53*r**4\/6 + 4*r**3\/3 + 535*r**2. Determine w, given that y(w) = 0.\nAnswer: -1\/31, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11073669 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: What is the closest to 1\/6 in 2, 80, -13.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 252 + 40. Let x = u + -177. Suppose l - 2*n = x, 4*n - 3 - 5 = 0. Is l 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 yhdcdcdcddtyctycc. What is prob of sequence hc?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 6*h + 1. Let i = 1 + 1. Let s be (-6)\/i - (4 - 1). Let d be r(s). Which is the third biggest value? (a) 4 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.325626 rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1341 + -1322. Solve 7*r + f*r = -78 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y**3 - 10*y**2 + 78*y - 20. Calculate d(4).\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a**3 - 5*a**3 - 5*a**3 - 12*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/9*(-75)\/(-50).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(616\/(-33))*(-20)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26826 is divided by 767.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 8 (b) 0.1 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*a + 48 - 10, 0 = -4*a - h + 82. Solve o + 4*o = a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/749?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 191 = 4*z - 14*l + 191, z = -6*l - 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 223932 and 9648.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*s = -3*c + 46*s + 14 + 3, -40*s - 21*s + 22*s - 1131 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 8. Let p be h(-6). Let c be 86\/p + (-6)\/12. Suppose 3*l = 66 + c. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26900 (base 12) in base 10?\nAnswer: -53136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**2*w**4 + i**2 - 3*i*w - 33*w**6 - w**4 + 54*w**2 wrt w.\nAnswer: -48*i**2*w - 3960*w**3 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3200 divided by 50.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -13*k - 22. Let g be w(-2). Find p, given that -1\/2*p**3 - 5*p**2 + 4 + 2*p**g - 1\/2*p**5 + 2*p = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/2*186\/9. Let i = 233 + n. Suppose x + 3*t - t - 41 = 0, -5*x + i = -3*t. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -12260\nAnswer: -85820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.031108 and 1.83.\nAnswer: 1.861108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -11*k + 11. Let i(o) = -5*o + 6. Let y(a) = -7*i(a) + 3*w(a). What are the prime factors of y(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((1 + sqrt(2448))*-5)**2 - ((sqrt(2448) + 0)*1)**2 - ((-4*2*sqrt(2448))**2 + (sqrt(2448) - (1*(sqrt(2448) + -2*sqrt(2448)) - sqrt(2448)))**2)).\nAnswer: -600*sqrt(17) + 119927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 + 12*n + 12. Let l be m(-5). Suppose -3*g = 4*d - 96 + 39, -4*g = -4*d - 48. Find the second derivative of -26*y**l + g*y - y + 5*y wrt y.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234407 is divided by 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**2\/2 + 11*l + 2. Let o be n(-9). Suppose -1 = -o*q + 7. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f)**(-2\/15)*(f\/(f\/(f*f\/(f*f\/(f**(3\/7)*f*f)*f)*f)))\/f**(2\/21) assuming f is positive.\nAnswer: f**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + -0.9. Let q = -6 + 6.1. Which is the closest to 2? (a) q (b) 2\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + -2 + -2.\nAnswer: -4 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {d: 5, y: 2, o: 6, b: 1, f: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(832) - (sqrt(832) + (-4 + sqrt(832))*-3))**2.\nAnswer: -256*sqrt(13) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.078, 53, 2\/5?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8365.4795 to the nearest integer.\nAnswer: -8365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from qvqvqv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2. Let s(o) be the first derivative of -10*o**3\/3 + 17. Give s(n(x)).\nAnswer: -90*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tafprak. Give prob of sequence ta.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2088 = 16*x - 11272. Calculate the greatest common factor of 10 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51\/(-5)*(6 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34920151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11878 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1 + -1 + 5 + 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11392875*t**3*z**3 - t**3 - 13538822*t*z wrt z?\nAnswer: 68357250*t**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -80\/193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 13*f + 18. Suppose -2*l = l - 39. Is o(l) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 - -10 - (-6)\/(-4). Let w = -16 + 10. Let y be ((-4)\/w)\/(4\/(-6)). Which is the nearest to y? (a) s (b) 0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/159, -0.1 in descending order.\nAnswer: 2\/159, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 5*y + 1914. Let u be r(-58). Is 8353 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 - 6*j - 7. Let g(p) = p + 2. Let v be g(-8). Let d be l(v). Let f = 82 + d. Solve f*i - 3 - 9 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5531 or -565?\nAnswer: 5531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -23, -1, 17.\nAnswer: -23, -1, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 + (-6 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 0 - 1*6. Let m(l) = -5*l**2 - 8*l. Let v(d) = -14*d**2 - 23*d + 1. Let t(p) = 11*m(p) - 4*v(p). Give t(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*(-21)\/42.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0.2, -2, -0.0162 in descending order.\nAnswer: 0.2, -0.0162, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*j, 34*j = -i + 32*j + 5181. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8189044 is divided by 372227?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 165427249 to the power of 1\/2, to the nearest integer?\nAnswer: 12862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/80 and -77\/12.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 2*q**2 - 2*q**4)*(3*q - 3*q + 2*q) - 2*q**4 - 4*q**5 + 7*q**5 - 2*q**5.\nAnswer: -3*q**5 - 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1067 + -1063. Let q(y) = -y**2 - 3*y - 4. Let l be q(-1). Which is the second biggest value? (a) l (b) -5\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2*g**2*n*r - 1874052*d**2*g*n**2*r + d*g**2*n**2 + 39*d*g**2*n + 3*d*g**2 + 2*d*g + d*n*r + 7*g - 43*n*r wrt d?\nAnswer: 2*g**2*n*r - 3748104*g*n**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/55 - -61\/165. Which is the nearest to -1\/2? (a) 5 (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(200) + 5)*4*2.\nAnswer: -80*sqrt(2) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20535.7 rounded to the nearest ten?\nAnswer: 20540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -5\/24*q**4 - 1\/42*q**7 + 0 + 10*q**2 + 1\/12*q**5 + 0*q**3 + 1\/24*q**6 + 0*q. Factor r(f).\nAnswer: -5*f*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1659 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: Solve -21 = -10*o + 17*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**4\/2 - 4*o**3\/3 + 25*o**2\/2 + 8*o - 63. List the prime factors of x(-6).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {v: 1, r: 1, d: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-330)\/(-44) - (110\/(-4) + 2)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/12)\/f**(-16\/3))\/(f**(-1))**(-7) assuming f is positive.\nAnswer: f**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5 - 20. Is 1\/((-4)\/(-1564)) + z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1065*q**2 - 1239655*q - 5820 = 0.\nAnswer: -1\/213, 1164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/5, -3\/4, -27, 6\/17 in decreasing order.\nAnswer: 13\/5, 6\/17, -3\/4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m + 3. Suppose -8*n = -0 + 24. Let w(h) = -4*h + 2. What is n*w(c) + 2*i(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(6*-1*sqrt(110) + sqrt(110)*1*-1 + sqrt(110))\/((sqrt(90) + 2*sqrt(90) + sqrt(90))*5).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*x = 58*x - 9*o - 17, 0 = -4*x - 4*o - 32 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 8, -2\/169, -4.5?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhz when three letters picked without replacement from bdbdhrrzhhdrrrr.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 343 + -340. Solve l - 8 = -d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50807216.\nAnswer: 2, 19, 37, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5 + 45 = -6*b, 304*j = 302*j + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 4*z - 3. Let d be x(-3). Suppose 2*u = -1 - 9, 3*h + 3*u + 33 = d. Let k be -1 + 6\/3 + h. Put k, 1, 5 in descending order.\nAnswer: 5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25 - -67) + (-1)\/(1\/3). Let v = g - 349\/9. Which is the fourth biggest value? (a) -2 (b) 4 (c) v (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*(-2 + 20). Let k = h - -8. Let p be k\/(15\/(-6) + 2). Solve 14 = 4*s - 2*z, p*s + 2*z = -0*z + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-4))\/n*n*n*n*n*n**7*(n*n**(-2\/9))\/n**(-2) assuming n is positive.\nAnswer: n**(97\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57973 is divided by 46.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.0492 times 37.6\nAnswer: 1.84992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 46126*s**2 - 10 + 30*s - 46124*s**2 + 43*s - 26*s + 23*s. Give x(-35).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/((g\/((g*g**21)\/g)*g)\/g)*g*g*g\/g**(4\/25)*g)**(-35) assuming g is positive.\nAnswer: g**(-4522\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 11 = 4*h - 3, 4 = 5*f - 2*h. Solve f = 2*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419039 is divided by 2757.\nAnswer: 2732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440*p**3 + 1417*p**3 + 41*p**3.\nAnswer: 1898*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*o + 2*o - 24, -5*o + 21 = -2*t. Let m(h) = -1 + 2 - 6*h**2 - h + 4*h - o*h. Suppose -5*a + 6 = 1. What is m(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -33*q**2 - q - 4. Let h(k) = k**2 - 1. What is 2*d(c) - 10*h(c)?\nAnswer: -76*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204958944?\nAnswer: 2, 3, 151, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/2*(-2)\/20. Suppose -19*p = 7*p + 52. Sort -4, p, w in descending order.\nAnswer: w, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, y: 1, c: 1, s: 1, b: 1}. Give prob of picking 1 c, 1 s, and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**2 + 3*c**2 - 49 + 3 + 44 to b*c**2 + u + k*c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*l + 29 = 0, -l - 3*l + 40 = 5*f. Let y(k) be the second derivative of k**4\/12 - k**3\/2 - 2*k**2 + 131*k. Calculate y(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09349 + 0.0955002. What is y rounded to 5 dps?\nAnswer: 0.00201","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/6)\/(14\/(-861)). Suppose j = 2*t - 11. What is the remainder when t is divided by (-11 - -9)\/(2\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.101? (a) -2\/5 (b) 0.00609 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**4\/8 - 5*q**2. Let a(f) = f**2. Give i(a(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (236\/10)\/((-53)\/(53\/2)) + (20 - 18)?\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -937*r - 1155*r - 343*r + 47245 = 1860*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73131048 by -73131048.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 8*o**2 - 6*o + 41. Let n be y(8). Let j(t) = 2*t - 9. Let x be j(6). Put -3, x, n in descending order.\nAnswer: x, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 18 + 12 = -4*j, 19 = -2*x - 3*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 397261 to the power of 1\/2, to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 4. Let v(x) = 1. Let a(t) = v(t) - y(t). Let n(f) = -2*f + 8. Let j(z) = -8*a(z) + 5*n(z). Let g be 1\/2*(-5 - -3). Give j(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 1. Suppose 0 = l - q - 84 + 81, l = 2*q + 10. Let c(d) = d - 3. Calculate l*h(n) - c(n).\nAnswer: 3*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 26 - 18 = 4*q, -11 = q - 2*j. Let a = -5 - q. Let b(m) = 3*m - 13. Let l be b(a). Solve -l*o = -7 + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -12. Let d be (g\/(-16))\/((-1)\/107232). Suppose -d = 2*x + 30384. Round x to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - 15*m**2 - 2 to l*m**2 + v*m + j and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -6, -40, -110, -228, -406, -656?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -115092 < -115089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 3. Let s = 19 + -25. Give g(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2. Suppose -3*p + a = -5*p + 7, 3 = a. Let v be (-4)\/(-1) + (1 - 3). Let i(j) = p - v - j**2. Calculate i(q(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 320*r + 5595. Give o(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104 - -23) + (10 - -37)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + u - u)*(1 - 1 - 2*u) + 4*u**3 - 4*u**3 - u**2 + u**3 + (4 - u**3 - 4)*(0 - 4 + 2).\nAnswer: u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14096 - 74765*p**3 - 14096.\nAnswer: -74765*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -627598 less than or equal to -627607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-2\/11)*h\/h**(2\/17)*h**(-3\/8)\/h*((h**(-1\/5)\/h)**(-3\/8))**42 assuming h is positive.\nAnswer: h**(139047\/7480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -70520, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -71*u - 2. Let w be g(2). What is the tens digit of (-2)\/(-4)*w\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341269 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = 2. Let c be -1*1*(-1)\/a. Is 0.3 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1993588000 rounded to the nearest one million?\nAnswer: 1994000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -121*p - 19. Let q be o(-6). Let g be 5 + -2 + -515 + 0. Let d = q - g. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4947 + 7957. Suppose -m + 954 = 4*r - 5072, -2*r + q = 2*m. List the prime factors of r.\nAnswer: 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d\/(((d\/(d**(1\/13)\/d))\/d)\/d*d))\/d))*d)\/d*d**(-18)*d**(-18)*(d*d\/(d\/d**(-13))*d)\/d assuming d is positive.\nAnswer: d**(-636\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11195\/44716 - -4\/11179. What is the nearest to -10907 in 5, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12101\/10 - 1210. Put r, -0.901, 3, 0.3 in increasing order.\nAnswer: -0.901, r, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 2340.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**5 + d**4 - d**3 - 1. Let w(m) = -7*m**4 - 10*m**3 + 4*m**2 + 4*m - 3. Let u(s) = -3*i(s) + w(s). Solve u(f) = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.674 and 55.0414.\nAnswer: 50.3674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 + 0.04. Put -2, -0.1, y in decreasing order.\nAnswer: y, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 12*l**6\/5 + l**3\/2 - 2*l**2 - 70*l. What is the second derivative of z(j) wrt j?\nAnswer: 864*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 7*h + 388. Let p be r(-23). Solve p*g - 23*g - 9 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268 - 25*l**2 + 271 + 262 - 942 + 142.\nAnswer: -25*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, h: 3, v: 3, o: 5}. What is prob of sequence hovo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by -17.\nAnswer: 80\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85063476*w - 85063476*w + 9*w**3 + 0*w**3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4122242 != -4122239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/9122 and 45\/4.\nAnswer: 18244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -73, -145, -217?\n\"Answer: -72*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -771708*k**2 - 31*k + 56*k - 26*k.\nAnswer: -771708*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1104, -1106, -1108, -1110, -1112?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 3*c**2 - 2*c**2)*(-9 - 2*c + 9) + 2 - c**3 - 2 - 2*c**3 + 0*c**3 + c**3 + (-3 - 2 + 3)*(0*c**2 + 2*c**3 + 0*c**2).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let l(k) = -2*k**2 + 3*k - 1. Let p(c) = 3*i(c) - l(c). Let u(j) = -3*j**2 - 2. Determine 4*p(g) + 3*u(g).\nAnswer: -g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1455)\/(-105) + -12 - 1\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-108)*-6*-33 - -722. Calculate the greatest common divisor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 77 = 42*n + 59 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2322*a**3*p - 8*a**3 - 495*a + 2 wrt p?\nAnswer: 2322*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**3\/2 + 384741*d**2\/8 + 144273*d\/4 - 96183\/8 = 0. What is d?\nAnswer: -32061, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -10*d + 6. Let o be v(-2). Let l = o + -19. Calculate the least common multiple of l and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r + 9*r = -135 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + (4 - -6) - -5. Solve 2*g + 10 = 0, -4*p - 4*g - h = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -7\/60*b**5 + 0*b**4 + 0*b**3 + 0*b - 12*b**2 + 0. Let i(t) = 6*t. Calculate l(i(u)).\nAnswer: -252*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + 18. Calculate the greatest common divisor of r and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59410504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*u + 13 + 20, 4*u = 5*v + 81. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*1\/(-5))\/(8\/(-40)). Suppose u = -4*u + 5*p - 10, 0 = l*p - 10. Solve -s + 4*x = -u, 2*s + 4*x = -s - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 903?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*p = -260709, 3*u - 5*p + 195568 = 6*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-16)\/52)*(-168)\/(-364).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65444484.\nAnswer: 2, 3, 7, 779101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*d**3 + 109*d**3 - 43*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11035558*c*u**2 - 95*u**2 + 4*u + 2015 with respect to c.\nAnswer: -11035558*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1913, 3825, 5731, 7625, 9501, 11353, 13175, 14961?\n\"Answer: -o**3 + 3*o**2 + 1910*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64106377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 163836459629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + g = -8, 4*g = 4*k + 22 - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 54 = -4*y, y - 45 = -4*f - 14. What is the remainder when 43 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146329732 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.652 to 1 dp.\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 135*i**2 + 2730*i + 1760 = 0?\nAnswer: -176\/9, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0, 61, -1\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - 4*3) + (73 - -607) is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*i + 15 = 0, -4*g - 4*i = -2*g - 10. Suppose w = 5*o - 4*o + 2, 0 = 2*o + g*w - 31. Let x = 19 + -11. Solve x*z - o*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*p - 4*p + 0*p + 3*p to the form f*p + u and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 488 + -466. Suppose -i*k + 1437 = -1247. Which is smaller: 120 or k?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33530 is divided by 33.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 - 3*p + 3*p**2 + 4*p - 13*p**3 + 6*p**3 in the form t*p**2 + w*p + l + f*p**3 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 984299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = d - o - 0*o, -3*d + 4*o + 49 = 0. Let j = 11 - d. Solve -4*r + 6 + 10 = j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, -0.1, -33\/5, -24, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -364*q - 6166. Let t be r(-17). Let m(b) = 37*b**2 - 2*b + 2. Let w(j) = 185*j**2 - 11*j + 11. Give t*m(v) - 4*w(v).\nAnswer: 74*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44954?\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*8*2\/(-12). Suppose -l*y = y - 3*o - 22, 14 = 3*y - o. Solve 2 = -y*t - 4*k, -4*t - k - 6 = -0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-8))\/((-1)\/(-10)). Suppose y + 240 = p*x, 5*y = -5*x + 112 + 128. Suppose l + x - 343 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1098)\/(-488)*7\/126*82.\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -20*c + 8. Let f be h(-6). Suppose -4*z + 5*q = -119, 0*z + 4*z = -4*q + f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1\/4, -20, 0, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51647095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 172 - -86. Let a = g + 161. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 1336 - 1241 = 0. Solve -2*s = 5*v + 20, 5*v + b*s + 33 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 525 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Let p(z) = -2*z - 6009 - 6648 + 3*z + 17721. Calculate p(n(b)).\nAnswer: -b + 5064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2742451941.\nAnswer: 3, 103, 8875249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - l + 14 = 0, 3*t + 0*t + 3*l = 24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 5 + 3 - -6 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*x + 16 - 2 + 24*x.\nAnswer: -34*x + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 8 = 5*i - 5*b, 0 = 5*i + 5*b - 35. Suppose -i*d + 7 = -5. What is the greatest common factor of 8 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 23*k**4 + 2 - 20 + 32*k**3 - 13*k**4 + 17 - 8*k**4 in the form i*k + y*k**3 + t*k**2 + o + z*k**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 952 - 1320. Is -370 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 199 - 1389\/7. Let p be (-1)\/7 - (-6)\/42. Which is smaller: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -3*o + 114. Suppose -3*k = -3*c + 10 - o, -5*k - 15 = -c. Let j be (5\/1 + -4)*25. Solve b + 4*b + j = c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19986560 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 + 28*h**2 - 33*h - 4. Let b(i) = -i**3 - 28*i**2 + 26*i + 3. Give 4*b(o) + 3*l(o).\nAnswer: 2*o**3 - 28*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8049829763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - (-48)\/9)\/((-2)\/(-618)).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 1 + 5*l**2 - 2098*l - 444*l.\nAnswer: 5*l**2 - 2542*l - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1437 + 12905\/9. What is the common denominator of 41\/7 and u?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 + -56. Let f be 4\/6 + 10\/3. Let j be ((-21)\/15 + f)*r. Solve -4*d = q - 1, 5*q + 4 = 2*d - j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1049, 1056, 1077, 1112, 1161, 1224, 1301?\n\"Answer: 7*u**2 - 14*u + 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 404?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 8*m - 7. Let r be x(-2). Suppose 140 = 5*n + 5*w, 2*w + 118 = r*n - 50. What is the lowest common multiple of n and 22?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 8:33 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**2 + 5*v**2 + 28*v**2 in the form h*v + d*v**2 + u and give d.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 54*n - 35*n. Let x(f) = -f**2 - 13*f - 2. Let c be x(-11). Calculate the highest common factor of n and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6 + 6*n**4 - 58*n**2 + 58*n**2 + 0 wrt n.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32357556 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/(7\/14).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6625 + 4546. Let i be ((-1)\/7 - 6282\/p) + -3. Let w = -147 - -148. Is w less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**6\/105 - x**5\/35 - 776*x. Solve m(q) = 0 for q.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 53*h + 23*h + 33*h.\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4*(-4 + (-154)\/(-11)). Suppose 0 = -5*k - 2 + 12. Let b be (l - -4 - -1)\/k. Solve -5*t = -w + 23, 2*t = 2*w - b*w + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) -3\/1481 (c) -2 (d) -2.4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(1\/1))\/(-2). Suppose -5*g = 4*r - 14, n = 5*g - g - 5*r - 3. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + l + 7. Calculate x(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w - 60 = -18*w. Calculate the highest common factor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -44 + 37*v + 0*v**3 - 3\/4*v**4 + 0*v**2. What is the derivative of m(w) wrt w?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 3:00 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 2155\/(-300) - (3 - 9). Let a = i - -7\/12. Which is smaller: 4 or a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113370 - -906939\/8. Find the common denominator of t and (-1)\/112*(-90 + 0).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 153 - 2640?\nAnswer: -2465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0\/(n\/(n\/n**(-4\/19))))\/((n\/(n*n**6))\/n**(-2\/11)))**6 assuming n is positive.\nAnswer: n**(7560\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7180.21206ms to weeks.\nAnswer: 0.00001187204375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-13983)\/(-6))\/((-9)\/(-101)). Let t(w) = 8720*w. Let h be t(-3). Let q = h + x. What is the common denominator of q and -1\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*h - 3*u = -51*h + 8, -3*u = -5*h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7201945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 978.\nAnswer: -1\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -6830\nAnswer: -19\/3415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41.5 + 28.6. Let q = h + 13. Which is the nearest to 2\/3? (a) -4 (b) q (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141802891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2598761, -2598761, -2598765, -2598773, -2598785, -2598801?\n\"Answer: -2*d**2 + 6*d - 2598765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53 * -27612.\nAnswer: 1463436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 30 - 15)*(-3 - 3 - 2*k + 4)*((5*k - 2*k - k)*(-1 + 0 + 3) - 6*k + 24*k + k).\nAnswer: 598*k**2 + 598*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92)\/12 + (-32)\/(-12) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3568 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -2\/21*o**3 + 0 + 3*o - 1\/7*o**2 - 1\/42*o**4. Factor s(l).\nAnswer: -2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124*0.8\nAnswer: -99.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1151992 to the nearest 10000.\nAnswer: -1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**6\/a*a**(5\/6)*a)\/((a\/(a\/a**(-2\/7)))\/a**(-1\/5)))\/(a**5*a*a\/(((a\/(a**(-1\/4)\/a))\/a)\/a)*a)**(-15\/2) assuming a is positive.\nAnswer: a**(54637\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffip when four letters picked without replacement from zhhiffp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 48259812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3182*z - 2404 + 6512 - 2420 - 2319 wrt z?\nAnswer: -3182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/(v**(2\/13)\/v))\/v)\/v)\/v*v*(((v\/(v*v**(2\/9)))\/v)\/v)\/v*(v\/(v\/(v\/((v**(-5\/2)*v)\/v)*v)))**(1\/62) assuming v is positive.\nAnswer: v**(-18911\/14508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14136\/2855 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14\/33 (b) 12 (c) 7\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8 = 5*d, -y + 3 - 9 = -3*d. What is the highest common divisor of 48 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 8\/15*x**3 + 1\/4*x**4 + 1\/25*x**5 - 1 + 2\/5*x**2 + 0*x. Factor y(a).\nAnswer: a*(a + 1)*(a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - 52.7. What is the nearest to b in -3, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73972733 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 9. Let f be (-1)\/((-140)\/(-68) + -2). Let v be u(f). Suppose -4*i = i - v. Solve 20 = -4*t - t - i*r, 4*t + r = -10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 + -11 + 7 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) + sqrt(68)*2 + sqrt(68) + sqrt(68))) + sqrt(68))\/sqrt(4) + 2*(0 + sqrt(17)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k = -20*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - 78 - (4 + (27 - 8) - 5)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531481, -1062951, -1594417, -2125879, -2657337, -3188791?\nAnswer: -3720241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbbzbzzvvbbyyzy. Give prob of sequence zbz.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 17. Let j(y) = -y**2 + y - 2. Let c(o) = 6*o**2 - 6*o + 11. Let b(r) = m*j(r) + 4*c(r). Factor b(k).\nAnswer: 2*k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 104, 160, 216, 272?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (19 + (-126 - -62))*(-2)\/6\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2*s**2 - 1)*(2 + 1 - 2) + 49*s + 54*s**2 - 49*s)*(214 - 215 - 18*s - 20*s).\nAnswer: -2128*s**3 - 56*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56572614173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 0 + 2\/11. Let x = -107\/44 + t. Let u = 62\/225 - 4\/75. Which is the smallest value? (a) x (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 130168 - 76869. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5*r + 463 = 465, 0 = 5*q + 4*r - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1942 + -15555\/8. Suppose y = -105 + 107. What is the common denominator of a and (-1636)\/160 - y - 12\/30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 9*u**2 - 10*u + 10. Let g be o(-10). Let s = -2 + 8. Suppose -k + g = s*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 11 = 2*w, 5*w - 2*f - 33 = -0*w. Let m(q) = -q + 3. Let t be m(w). Let s = -2 - t. Solve 0 = -s*x - 0 + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*t + 1082 = -36*t. List the prime factors of t.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3179 + -3173. Solve -2*y + 5*i = 32, i + 0*i = j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*x - 25, 16 = 3*o + 2*x + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011001101 (base 2) to base 8.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p. Let k = 3 - 9. Let f(a) = 5*a - 6. Let w(u) = -u + 1. Let c(r) = k*w(r) - f(r). Give d(c(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 8603?\nAnswer: 8603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (89\/5)\/((-5)\/(-175)). Let g = v - 605. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137 + -101. Find the second derivative of g + 4*g - 51*g**2 - r*g wrt g.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p = -89 + 139. Suppose -7*s - 2*d + 634 = -5*s, 0 = -4*s + p*d + 1262. What is the remainder when s is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*a - 3 - 40*a + 114*a.\nAnswer: 4*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-208)\/130)\/((-4)\/15). What is the second biggest value in -1, -1\/6, 3\/5, w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 1. Let j(d) = 29*d**3 - 6*d - 29. Let g = -232 - -227. Let q(v) = g*u(v) + j(v). Find the second derivative of q(w) wrt w.\nAnswer: 174*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*l + 5, -y - 2*l + 20 = 3*y. Suppose g - 80 = -y*g. Solve -4*m = m - g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l. Let k(b) = -b**2. Let u(n) = -n**2 - n. Let v(a) = -3*k(a) + 4*u(a). Let t(h) = 3*h - 9 + 9. Let r(f) = -4*t(f) - 3*v(f). Calculate x(r(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4046.03 - -4046. Which is the closest to 0? (a) -2\/3 (b) -4 (c) -0.1 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31124261053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -75*(-26)\/(-468) + (-2)\/12\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 - 2*a**5 - 3*a**3 - a**4 + a**4 + 2*a**5 + (-2 + 2 - a**2)*(3*a**3 - a**3 + 0*a**3) - a**5 + 2*a**5 + 0*a**5 - 5*a**4 + 13*a**4 + 3*a**5 - 9*a**4.\nAnswer: 2*a**5 - a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**4\/6 + 5*t**3\/6 + 90*t. Give h(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2. Let l(b) = -2*b**2 + 5*b - 5. Let i(g) = g**2 - 2*g + 2. Let p(k) = -5*i(k) - 2*l(k). Give p(j(h)).\nAnswer: -25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by 4.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - 54. Let t(w) = -w**2 - 8*w - 8. Let v be t(-6). Suppose 3*x - 32 = -2*x + v*z, 4*z = 8. What is the remainder when j is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-1)\/(-2))\/(((-90)\/220)\/(-9)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, k: 1, i: 1}. What is prob of sequence pip?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3227 (base 12) to base 9\nAnswer: 7484","meta":{"dup_signals":{},"source":"numbers__base_conversion_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 m(z) = -2*z**2 + 9*z + 8. Suppose l = -4*s + 11, -2 = -l - 5*s + 10. Calculate m(l).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15114328 = -5184328. What is q rounded to the nearest one hundred thousand?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -14*r**3 - 4*r**2 + r + 4. Let x(v) = -14*v**3 - 5*v**2 + 5. Let l(k) = -5*q(k) + 4*x(k). Find the second derivative of l(f) wrt f.\nAnswer: 84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5 + 11*k + k**2 - 1 - 5 - 2*k**2. Let r be f(10). Suppose 168 - 24 = r*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1934, 1938, 1932, 1910, 1866?\n\"Answer: -h**3 + h**2 + 8*h + 1926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1350 or 3328?\nAnswer: 1350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 475839 and 145665?\nAnswer: 7137585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -21*q + 2. Let s be j(0). Suppose -6 - 4 = -3*v - 5*n, -s*v - 5*n + 10 = 0. Solve 0*y + 30\/11*y**5 - 62\/11*y**4 - 8\/11*y**2 + 40\/11*y**3 + v = 0.\nAnswer: 0, 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2737389855 divided by 3\nAnswer: 912463285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-49)*67\/(-335)\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + 0.8. Let d = 198 + -198. Which is the closest to d? (a) k (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125585 is divided by 51?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2029318 or 2029319?\nAnswer: 2029318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9319\/84952 - 15\/287. Calculate the common denominator of k and 29\/4.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14782 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-33) + (-420)\/(-132).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 2:07 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*((sqrt(80) + -1*sqrt(80) - sqrt(80)) + sqrt(80)))\/(sqrt(10)*-2*6 - sqrt(10)))\/(-5*sqrt(576)*-6*6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, l: 9}. Give prob of sequence ii.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200088642.\nAnswer: 2, 131, 509, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (421575\/(-8250))\/(14\/(-10)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 636014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 0 + 0*q + 24*q**2 + 2\/3*q**3 - 1\/12*q**4 - 1\/30*q**5. Determine v so that l(v) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cawwgcn. What is prob of picking 1 n and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 724401659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/3 and -41\/2178568.\nAnswer: 6535704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5873 + -5868. Solve -t + 9 = 4*v, 15*t = -m*v + 11*t + 25 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-683)\/14 - (1 + 2). Let g = r + 9085\/168. What is the common denominator of -89\/40 and g?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/5 (b) 2\/13 (c) 2\/49 (d) 4 (e) 282.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-16))\/((234\/(-180))\/13)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/180756 and -19\/32.\nAnswer: 1446048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**3 + 15*b**2 - 30*b + 21. Is a(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1, 0, 1716, 1144 in decreasing order.\nAnswer: 1716, 1144, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -280.67 and 42.9.\nAnswer: -237.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -26*l. Suppose -m + 0*s = -2*s + 3, 3*m - 3*s = 3. Let p(k) = -k + m*k - 6*k. Determine n(p(j)).\nAnswer: 52*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 4*v, -5*k + 10 = -3*v + 2*v. Let b be (3\/(-12)*v)\/(-1). What is the biggest value in 1, b, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, r: 4, e: 3, f: 7}. What is prob of picking 1 e, 1 p, and 1 f?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 329267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -7*b - 304, -3684*b - g = -1846*b - 1837*b + 45 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.05 + -6. Let w = 118 + -469\/4. Which is the biggest value? (a) p (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2)\/w)**29\/((w\/(w\/(w*w*w*w**(-2\/9)*w*w))*w)\/w*w)**(-11\/2))**(-1\/21) assuming w is positive.\nAnswer: w**(-311\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -15. Let x = -4 - q. Solve -1 = -z + 2*m - x*m, z = -4*m + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 13*d**2 + 15*d + 19. Let t be v(-14). Let m(f) = 4*f + t*f + 5 - 5*f**2 + 6*f**2 - 3*f. What is m(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99014717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2 = -3*q. Let z = -11 - -26. Let j be (12\/z - 2)*-5. Solve q*i + 0*i = -2*v - j, 0 = -5*v - 25 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 991152 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -2\/3 (c) -563 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 4. Let t(x) = -8. Let s(d) = 2*b(d) - t(d). Let c(z) = -412*z**2 - 2. What is c(s(j))?\nAnswer: -1648*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 + 0?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6862.6 + -6863. Which is the nearest to -0.1? (a) -11 (b) 6\/5 (c) 0.4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 40406658*m**2. Let w(u) = -2*u. Determine w(r(j)).\nAnswer: -80813316*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(13\/(-208)*44)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 3. Let f(a) = -3*a + a + 3*a + 3*a - 8. Let v(j) = 2*f(j) + 7*t(j). Determine v(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/6, 2, -3.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -2. Let p = 2 + v. Suppose p*h - 30 = -0*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3686 less than 3679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-28)\/(-49)) - (-3 - -9))\/(-8)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/11 - 28*r**4\/11 + 60*r**3\/11 + 280*r**2\/11 - 62*r\/11 - 252\/11 = 0. Calculate r.\nAnswer: -2, -1, 1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 489*g**2\/2 - 2011*g + 1652. Find the first derivative of a(v) wrt v.\nAnswer: 489","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 + 87. Let g = 1622 - 16203\/10. Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 18 = -4*k. Suppose 2*z = -k, z + 13 = -v - 4*z. Let l(i) = 2*i**2 + 2*i. Let u be l(-2). Solve -u*s + 20 = -5*r + v*r, -s = 2*r - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.52 - -1.5199. Round i to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.341 - 0.041. Which is the closest to -0.1? (a) 3 (b) -1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, 0, 7 in ascending order.\nAnswer: -67, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 289 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-9)*9\/(-24)*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 392281? (a) -0.3 (b) -2 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 11:07 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -23 + 168\/24. Let f(j) = -366243*j + 112. Let p be f(t). Round p to the nearest one hundred thousand.\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -27\/4 - 27\/4*c + 3\/4*c**3 + 3\/4*c**2 = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.3303 to one decimal place.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -635.252 - -650.25065. Let f = l + -15. Round f to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 129007*g**3 + 129009*g**3 - 258021*g**3.\nAnswer: -5*g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3009 + 453*g + 449*g + 448*g - 1349*g - 1901 + 2*g - 4*g + 0*g + (-g - 4*g + 3*g)*(5 - 4 + 2).\nAnswer: -7*g - 4910","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15036*h**2 + 30499?\nAnswer: -30072*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q + 39*q = -16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21882 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 24. Put -0.4, s, 5 in increasing order.\nAnswer: s, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/6)\/(((-385)\/20)\/(-7))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*b + 2. Solve -2*f + b = 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q + 16. Let w be s(11). Let f = -12 - w. What is the third derivative of -p**f + 3*p**2 - 2*p**5 - 4*p**5 wrt p?\nAnswer: -420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1412 - -2459. Calculate the remainder when u is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -230, -229?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y. Let o(h) = -254432*h. What is o(b(l))?\nAnswer: -763296*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = t + 10, 4*k = 4*t - 4 + 24. Let u = -79\/14 - -57\/7. Which is the closest to 0.1? (a) u (b) 3\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -1. Let h = 6 + -28\/5. Let q = 0.267 + 0.233. What is the nearest to h in f, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**4 - 11645679*z**3 + z**2 - 803*z - 27827.\nAnswer: 12*z**2 - 69874074*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332451341 a multiple of 6082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 11:32 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 422.572 days?\nAnswer: 36510220800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-5)\/3 + 5. Differentiate 3*b + b + 23*b - 24 + v*b wrt b.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130962934 a multiple of 3866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5 + 9 = 6*k, 4 = -q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 237 + -237. Let p = z - 0. Which is the nearest to -1\/3? (a) 5 (b) 1\/15 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nine tenths of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50200 and 25100?\nAnswer: 50200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16923092 at least 16923099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 175, 58, -61, -182, -305?\n\"Answer: -p**2 - 114*p + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42213143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -12 + 0*u**6 - 10\/7*u**7 + 0*u**4 + 0*u + 0*u**5 + u**3 + 0*u**2. Find the third derivative of i(h) wrt h.\nAnswer: -1200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 9*d**2 + 21*d + 12. Determine a(-4).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q**(-2\/3)*q))*q*q*(q*q**(-2)\/q)\/q*q*q**(1\/2)\/q*q*q*q\/q**(-2) assuming q is positive.\nAnswer: q**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-5)*10\/(-8). Let c = 71\/10 - 15\/2. What is the biggest value in 2, c, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 25, 3\/4, 5722?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**3 + 7*h - 5. Let j(n) = -5*n + 38. Let b be j(6). Let w(q) = -14 + 18 + 4*q**3 + b*q - 10. What is 6*a(o) - 5*w(o)?\nAnswer: 4*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -n - 5*f, 4*n - f = f + 56. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3334 (base 9) to base 13\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgsjjgssjsssgsgghjss. Give prob of picking 1 g, 1 h, and 1 j.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, a: 2}. Give prob of picking 2 u.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62943869*o**2*t**2 - 64*o*t**2 - o*t - 4*o + 10*t**2 + 47*t + 2 wrt o?\nAnswer: -125887738*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from xzzzzezzxzreizxzxz.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 6:27 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -7*p**4 + 9\/2*p**2 - 35 + 2\/3*p**3 + 0*p. What is the second derivative of f(w) wrt w?\nAnswer: -168*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1149*b**3 - 716*b.\nAnswer: -6894*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -338, -337, -336, -335?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = 5*b + 87 - 241, -43 = -5*h + 47 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38604, -38602, -38600, -38598?\n\"Answer: 2*f - 38606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 72*v + 208. Let h be b(2). What is the highest common divisor of 121 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.3. Let u = -1102097\/168644 - 4\/6023. Let z = 44\/7 + u. Which is the nearest to k? (a) z (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006387351 rounded to five decimal places?\nAnswer: -0.00639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 7*i**2 - 6*i. Let j be 3 + 2\/2 + 1. Let l be t(j). Suppose 4*p + 0*p - 20 = 0. What is the highest common divisor of p and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b**3 + 120*b**2 - 84*b = 0. Calculate b.\nAnswer: -14, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333202, 333279, 333370, 333481, 333618, 333787, 333994?\nAnswer: 334245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 - (0 + -2 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 27054882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4098.\nAnswer: 2, 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 692817581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n*r**3 - 2*n*r**2 + 1912*n*r*u + 2*n*r - r**3*u**3 + 378*r**3 - u wrt u.\nAnswer: 1912*n*r - 3*r**3*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-608)\/(-95))\/((-10)\/(-275)) and 396.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387\/((-1204)\/(-28)) + 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -bc758?\nAnswer: -bc759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2286, 2287, 2288?\nAnswer: 2289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 - r + 1. Let f(w) = -16*w**3 - 28*w**2 - 5*w + 2. Give f(n) - 7*k(n).\nAnswer: -16*n**3 + 2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 425*u**2. Let h(c) = -4*c + 4*c - 5*c + 9392 - 9392. Give h(k(z)).\nAnswer: -2125*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.3 (b) 1\/2 (c) -442 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a decade?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-2 + 1)) + (-15 - -12). Solve a = -2*b, 4*a - b + 29 - 11 = o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50073.\nAnswer: 3, 16691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 11 + v**3 - 7 + v - v**2 - 6. Let o(q) = 6*q**3 - 23*q**2 - 28*q - 19. Let g(x) = 5*o(x) - 20*u(x). Factor g(m).\nAnswer: 5*(m - 11)*(m + 1)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -22122?\nAnswer: 22112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*w = 70, -19 = -2*x + 3*w + 16. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -78.7. Let t = n - -43.8. Which is the second smallest value? (a) t (b) 3\/5 (c) -5 (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/7 of a week?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101966540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 58284.65 millimeters in micrometers?\nAnswer: 58284650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2360806?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*((sqrt(99)*3)\/sqrt(9) - (sqrt(396)*-4)**2 - ((-5*2*sqrt(110))\/sqrt(10))**2*-5).\nAnswer: -6*sqrt(11) + 1676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*p = -2, 398 - 360 = c + p. Let u(k) = 9*k. Let y be u(5). Calculate the highest common factor of y and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.695 + -9.695. Sort -0.43, 0.03, v, -2\/9 in increasing order.\nAnswer: v, -0.43, -2\/9, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(-10\/3)*y*y*y)*y\/y**8*((y\/(y*y*(y*(y*y\/(y**0*y))\/y)\/y*y))\/y)\/y*y*(y\/y**15)\/y*y assuming y is positive.\nAnswer: y**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -129.6 - -144. Let k = v + -3.9. Let i = -11 + k. What is the third biggest value in 1\/3, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -16. Let b be -6*(12\/18 - u). Let i = -17 + 20. Solve r = m, 5*r + b*m + i = 17 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 3 - 3)*(4 - 4 + 6*d) + 0*d**2 - d**2 + 3*d**2 + 4*d.\nAnswer: -10*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 25044.82388 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 45.8306638.\nAnswer: 46.8306638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -178, -3, -203 in descending order.\nAnswer: -3, -178, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15216 + 7050 = 6*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2))**(1\/34)*n**(-5)\/n**12 assuming n is positive.\nAnswer: n**(-1155\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 44 = 28. Suppose -k - a = -3*k. Solve k = -5*v + 3*m, -2*m = -0*v - 4*v - 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 6*b**2 + 5*b - 4. Let f be -1 - 5 - (-2 + 0). What is the remainder when 22 is divided by w(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 7. Let i be l(-2). Determine j, given that 0*j**4 + 2*j**5 + 5*j**3 + 2*j**4 - i*j**3 - 4*j**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7063*a + 132148 = -93868 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -218, -908, -2056, -3662, -5726, -8248, -11228?\n\"Answer: -229*j**2 - 3*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 - 8*y**2 - y**3 + 259 - y**3 - 259.\nAnswer: -2*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-9) - (1 - 53\/3). Suppose -4*s = 5*u - z - 3, 7 = 2*s + 5*u. What is the third derivative of 112*w**2 - 114*w**2 - 4*w**s + 3*w**4 - 3*w**4 wrt w?\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/11))**(-2\/37)*c**(-1\/19)\/c**(-1) assuming c is positive.\nAnswer: c**(7402\/7733)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(-1\/18))*q**30*q**(-1\/24)*(q\/(q**8*q))\/q assuming q is positive.\nAnswer: q**(1513\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 2*g. Let h be a(-2). Suppose h*j = 3*j + 3. Suppose -w + j*w - 4*i = 20, -16 = -4*w + 2*i. Solve -w*q - 3 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 1. Let v be g(4). Let x(j) = 2*j**2 - j - 1. Let k be x(2). Sort v, k, 0 in ascending order.\nAnswer: 0, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**3 + 5532*w**2 + 146583*w - 1079298 = 0?\nAnswer: -1817, -33, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 54 * 1.4\nAnswer: 75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11162000 rounded to the nearest 100000?\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2 + 14. Suppose 4*f = -f + 80. Solve -2*t = -b*t + f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*t - 7 = 70*t. Let o(p) = -p**2 - 1. Let g(x) = 5. Let v(u) = 14. Let s(y) = -11*g(y) + 4*v(y). Give t*o(w) - 2*s(w).\nAnswer: w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 2*c + 3. Let t(i) = -13*i**2 - 8*i - 13. Let s(d) = -9*a(d) - 2*t(d). Factor s(l).\nAnswer: -(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ych when three letters picked without replacement from yihcccccycicciyhcy.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w**5 - 109442*w**4 + 1220462*w**3 + 1311992*w**2 - 2696360*w + 874464 = 0 for w.\nAnswer: -2, 1\/2, 2\/3, 12, 9109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*i**3 - 2*i**2 - 19*i - 14*i - 13*i + 48*i as g + u*i + a*i**2 + k*i**3 and give k.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -164 - -294. Let s = h - 74. Calculate the remainder when s is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1496 - 1494. Let v(n) = -n + 38. Let a be v(24). Put -4, g, a in descending order.\nAnswer: a, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 20*y**2 - 14*y + 55. Let s be d(20). Is 38 a factor of (-20)\/150 + (-5)\/(s\/15396)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -340, -849, -1592, -2575?\nAnswer: -3804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1)\/(1\/(-4)). Suppose -18 = -y - 4*q, 3*q + 93 = i*y - 2*q. What is the greatest common divisor of y and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*t + 44 = y, y - 1 = -t. Suppose -474 = -y*i + 672. Let g = 380 - i. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 127.34 and 11867.\nAnswer: 11994.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 131*h**2 + 253*h - 636. Determine w(-129).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(-35) - -6*(-11)\/(-154)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0 - 5 = s, 0 = 4*y + 3*s + 15. Suppose -13 = -w - y*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**(-1\/25))**11)**(-38))**(-2\/101) assuming q is positive.\nAnswer: q**(40964\/2525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*a + 8. Suppose 0*m - 40 = a*m. Let f = 4 - m. Solve 2*r - 3*r - f = -3*z, -2*r = -5*z + 23 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 13 - 2. Let j = 145 + -145. Suppose 2*b = 5*t + 7, -4*t - 3*b + j*b = 24. What is the second smallest value in s, 5, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 333585147*v**2 - 499572263*v wrt v.\nAnswer: 667170294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -29 - (-2 + 7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 310225 + 4?\nAnswer: 310231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32717244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11316 + 372 = -76*h. What is the remainder when h is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.8 - 3.2. Let k = d - -6. Which is the third smallest value? (a) k (b) 0.3 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 894380 and 0.4.\nAnswer: 357752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 1. Let p be o(1). Suppose -3*k - k + 27 = 3*c, -k - p*c + 13 = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64234139 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 138242 smaller than 138242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 4882075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26843027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p**4 - 4581554*p**3\/7 + 85331886*p**2\/7 + 33464444*p\/7 + 2488544\/7 = 0.\nAnswer: -32744, -2\/7, -1\/10, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -3 + 0 + 5 + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*l - 28 = 811, 3*f = 4*l + 630. What is the remainder when f is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239722 is divided by 1230?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018464223.\nAnswer: 7, 547, 265987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 20 + 5, -2*b - 10 = 4*y + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 22, -20, 1, 1.29, 3, -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91480918 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gppkkokvpop. What is prob of sequence op?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 219987715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61043289.\nAnswer: 3, 29, 101, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 72\/18 + (1 - 2) + -50. Let o = x + 252. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007639 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662 (base 9) to base 12.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 6*z**2. Let m(y) be the first derivative of y**4\/2 - 7*y**3\/3 - y**2\/2 - 91. What is -3*m(w) - 4*u(w)?\nAnswer: -2*w**3 - 3*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + 112\/(-21))\/(0\/3 + -1). Suppose 2\/3*f**3 - s*f**4 + 0*f**2 - 2\/3*f + 1\/3 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2 + 2658 - 2898 + 72*k - 4*k**2 = 0. Calculate k.\nAnswer: 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*n - c, 3*c - c + 28 = 2*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - v**2 + 15*v - 16. Give s(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3164290 to the power of 1\/2, to the nearest integer?\nAnswer: 1779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*v + 5999980, -4*v + 9*v - 2*p - 7500008 = 0. Suppose v = 22*h - 19*h. What is h rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639 is divided by 628.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 19*k**2 - 22*k + 104. Let w be f(12). What is the highest common factor of 53 and w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362568509136 plus 4?\nAnswer: 362568509140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -295*o - 299*o - 298*o + 1189*o - o**2 - 294*o - 2 to the form h*o**2 + k + z*o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 38*n**2 + 2*n + 431. Is l(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, b: 4, c: 5, m: 1}. What is prob of sequence bu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -1001111?\nAnswer: 1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 16*c + 16 = -21*c, 4*a = -86*c - 336 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from baempbme. Give prob of sequence mbbm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003223 to seven decimal places.\nAnswer: 0.0000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3073 - -3114. Are 39 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 9*l - 5. Give f(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9241 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25\/1381 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5176, -10353, -15528, -20701, -25872, -31041?\nAnswer: -36208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m. Suppose 5*h + 35 = -5*q, 5*h = -0*q - 2*q - 35. Let t be 58\/12 - 6\/(-36). Let i(p) = 762 - t*p - 762. Give h*o(n) + 3*i(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h*l + 6*h*p**3 + 24*h*p**2 - 70*h*p - 82*l*p**3 + 19*p**3 + p**2 wrt p?\nAnswer: 36*h - 492*l + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s + 9 = 0. Suppose b + r + r + 2 = 0, -s*b - 4*r = -2. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -4883\/1177?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -8*r**4 - 41\/2*r**2 - 31 + 0*r + 0*r**3. Find the second derivative of f(k) wrt k.\nAnswer: -192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/4)\/i)\/((i*i**(2\/3)\/i*i)\/i*i))**4*(i**(1\/3)\/i**(-5))**(-49) assuming i is positive.\nAnswer: i**(-275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 9 = -2*b. Suppose -3*t - b = -6*t. Is t < 1\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 781, 1566, 2351, 3136?\nAnswer: 3921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -93, 0, -3, -6, 6, 3 in descending order.\nAnswer: 6, 3, 0, -3, -6, -9, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f**2 - 2*f + 4. Let i(n) = 3*n**2 + 37*n - 15. Let v(q) = 7*q - 3. Let g(s) = 2*i(s) - 11*v(s). Determine -5*d(k) + 6*g(k).\nAnswer: k**2 - 8*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184477, 368949, 553409, 737851, 922269, 1106657, 1291009?\nAnswer: 1475319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4*a + 101, 4*f = 6*f + 2*a - 64. Let j = 15 - 8. Suppose -t + f + j = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -151, -174, -199, -226, -255, -286, -319?\n\"Answer: -b**2 - 20*b - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = 3*m - 20, 3*m + 9 = -3*t. Suppose 8 = m*i - 0. Suppose i*o + 4*a = 116, 4*o - 5*a - 107 = -0*o. What is the remainder when o is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662862 to the power of 1\/2, to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(-48) - (-306)\/8?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**5 + 18*f**4 + 354*f**3 - f**2 + 2*f + 26935 wrt f?\nAnswer: 120*f**2 + 432*f + 2124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1804711?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73, -139, -337, -739, -1417, -2443?\n\"Answer: -12*t**3 + 6*t**2 - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r. Suppose -2*p + 3*p + 2 = 0, 5*u - 5*p - 35 = 0. Let k be n(u). Suppose 0 = -3*b - 1 + k. Calculate the highest common divisor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2*v - 4 = 0, 2*i - 751*v - 26 = -747*v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 10*g + 562. Let q(k) = k. Calculate -3*q(m) + r(m).\nAnswer: 7*m + 562","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -12 + 20. Put 4, -24, u in increasing order.\nAnswer: -24, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122535070 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: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7454 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3067, 12469, 28217, 50317, 78775?\n\"Answer: i**3 + 3167*i**2 - 106*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9441.82*3.54.\nAnswer: -33424.0428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68.78 - 1.22. Let t = -73.9 - v. Let w = -3.51 - t. What is w rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 15*z - 59. Let y be f(9). Put -3, 863, y in descending order.\nAnswer: 863, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.7361819\nAnswer: -3.6809095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**2*a**(-6))\/(a**(1\/4))**2)\/(a**(1\/3)*a*a*(a*a**(-3\/5))\/a*a*(a*a*a*(a*a**(-2\/3))\/a)**37) assuming a is positive.\nAnswer: a**(-2777\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 155.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(2*sqrt(204)*5)\/(3*sqrt(12)*-1) + -1.\nAnswer: -10*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614 is divided by 124?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k - 11*k + 3*i + 41, -2*i - 17 = -i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*o + 176701 - 176554 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291409907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1162 - 0.0162. Suppose -2*o + 14 = 3*u + u, u = o - 4. Which is the nearest to u? (a) 2\/13 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/7 (b) 17 (c) -55 (d) -3 (e) 0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**6\/30 - m**5\/10 + m**4\/4 + 4*m**3\/3 + 2*m**2 - 85*m. What is t in l(t) = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -124, -5, -1, 4, 1, 15 in increasing order.\nAnswer: -124, -5, -1, 1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10705924 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -391, -498, -649, -820, -987, -1126?\nAnswer: -1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**5\/60 + 7*d**4\/24 - d**3\/2 - 5*d**2. Let t be m(6). Solve t*j + 6 = 6*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -6, 1 = -2*h - 2*m - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 13 = -4*i - 5*s, 1 = s. Suppose -6*x = -2*x + i. Let w = 1\/8 + 0. Is x equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17380 by -8690.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**3\/6 + 3*y**2\/2 + 12*y. Let m be q(-1). Let b = 1.8 + -2. Is b smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 10 = -r + 2*r, -5*r = 2*f + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2220.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2379430?\nAnswer: 2, 5, 277, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 45*l + 14. Let o be y(9). Let r = o + -208. Calculate the remainder when r is divided by 72.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(1216) - (sqrt(1216) + 1)) - sqrt(19))**2 - ((2 + sqrt(19))**2*5 + sqrt(19)).\nAnswer: -114 - 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 59a (base 15) to base 5\nAnswer: 20040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41.2 - -40.9. Let v = 107 + -104. Which is the second smallest value? (a) -3 (b) p (c) v (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Let l be (-3)\/((-9)\/20)*c. What is the greatest common factor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 6. Let n(d) = 2*d - 13. Let r(c) = -13*m(c) - 6*n(c). Let o(w) = 7*w**2. What is r(o(x))?\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 28*q + 101. What is r(-11)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 + 7*n + 15. What is the lowest common multiple of c(7) and 52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + g + 70 = 0, 7*b - 3*g + 78 = 4*b. Let i be (-44)\/(-6) + 8\/b. Which is smaller: i or 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 486, 1452, 3100, 5436, 8466, 12196?\nAnswer: 16632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*x - 151*x + 4*x + 69*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01981050576 rounded to six decimal places?\nAnswer: -0.019811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*m**4 + 7*m**4 - 26*m**4 - 4*m**4 - 2*m**4 + 2*m**4 + (-m**2 - 3*m**2 + 6*m**2)*(-2*m**2 + m**2 + 2*m**2) + 4*m**4 + m**4 - 4*m**4.\nAnswer: -52*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/2 + (191 - 185)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4485, 35847, 120969, 286731, 560013?\n\"Answer: 4480*w**3 + 2*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7127374393 to the nearest integer?\nAnswer: 84424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -519858, -1039193, -1558528, -2077863, -2597198?\n\"Answer: -519335*m - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.895 - -0.105. Let s = 1447 - 8663\/6. Let x = 41\/12 - s. Which is bigger: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 1 + 5 = -2*y, -4*y = 3*t + 12. Suppose t = -2*x + 4*x + 78000. Round x to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 4349 (b) -2\/5 (c) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and 199474.\nAnswer: -279263.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 7:10 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-28))\/(2384\/(-6258))\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(-29)*(a**1)**(-17) assuming a is positive.\nAnswer: a**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10105367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23121 - -23200. What is the remainder when p is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (6 - 29) - -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26114 (base 14) in base 16?\nAnswer: -16d46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 15*l**2 + 9*l - 6. Let m(r) = -7*r**2 - 4*r + 3. Let z(n) = -6*j(n) - 13*m(n). Let f = -6 - -10. What is the units digit of z(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**5\/2 - 105*x**4 + 2376*x**3 - 15552*x**2 - 41472*x = 0. Calculate x.\nAnswer: -2, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4317209603 and -7.39.\nAnswer: -7.8217209603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t = 12*t + 249 - 18 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**3 + x**2 + 2*x - 2. What is o(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:11 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - j = 3*j + 20, 5*j = -25. Suppose 4*n + 27 - 115 = g. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/20 - j**4\/6 - 5*j**3\/6 + 8*j**2. What is the units digit of g(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*x**2 - 142*x**2 + 3*x**3 + 448*x**2 - 157*x**2.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**3 - 540297*p**2\/4 + 760235868*p - 285069456.\nAnswer: 3*(p - 11256)**2*(8*p - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -5*h**3\/18 + 10*h\/3 + 13. Determine f so that g(f) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 greater than or equal to -26.83735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbvegen. Give prob of sequence nwe.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -199154\nAnswer: 199154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**5\/20 - 5*p**4\/4 - 9*p**3\/2 - 69*p**2. Suppose z(j) = 0. What is j?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + -130. Let v = 143 + a. Put 0.59, v, -0.4 in decreasing order.\nAnswer: 0.59, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 14) in base 5?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + (0 + sqrt(500) + sqrt(500) + 0 - sqrt(500))**2 + 3 - (2 + (sqrt(80) - (sqrt(80) + (1 + sqrt(80))**2*-3))).\nAnswer: -14*sqrt(5) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -640*z**2 + 6*z + 2. Let n(f) = -4*f. Calculate n(g(c)).\nAnswer: 2560*c**2 - 24*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -1100?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 2*h + 6. Let f be c(3). Let z be (-1 + 2)\/(2\/(-2)). Sort -2, z, f in descending order.\nAnswer: f, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1461560 divided by 10\nAnswer: -146156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -229215484437\nAnswer: 229215484436.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from zzzzrww?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.2 (b) 28 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -11)*((-4)\/(-1044))\/(2\/18)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 3. Is ((-27)\/4)\/((-5)\/m) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.48003 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122694 and 53011673.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3\/3 + 65995*u**2\/3 - 217667975*u\/3 - 217866005.\nAnswer: -5*(u - 6601)**2*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -975 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - a + 3. What is the least common multiple of l(0) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -26 (c) 2\/7 (d) -246 (e) -5 (f) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*q - 0. Let x be -1 - 2*5\/(-2). Suppose 47 = x*d + 2*y - 3*y, 4*y - 64 = -5*d. What is the highest common divisor of q and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 81.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16633 is divided by 4150?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -369*h**3 - h**2 - 904*h wrt h.\nAnswer: -2214*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 7 = -3*c - 2*g, 4*g + 14 = 5*c. Solve t - 4*y + 2 + c = 0, -4*y = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5277493*q**5 - 26821327*q?\nAnswer: 105549860*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11076898*i**2 + 3976894*i wrt i.\nAnswer: -22153796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 0*x - 5898. Let g = 513 - x. What is the tens digit of (2\/(-4))\/(5\/g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - s**2 + 4*s - 3. Let y be 7 - (-2)\/(-6)*0. Suppose -5 = -2*t - 2*h + y, -4*t - 2*h = -16. What is the units digit of g(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30559a8 + -4?\nAnswer: 30559a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, w: 1}. What is prob of picking 2 k and 1 w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q. Let j(y) = -29159914*y**2. Calculate t(j(u)).\nAnswer: 58319828*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -81, -41, 317, 0.4 in increasing order.\nAnswer: -81, -41, -3, 0.4, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -329651*b + 329657. Determine h(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ototjojoo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 149 + 104. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 - 7*p - 19. Let f be g(-6). Let m(i) = -i**2 + 13*i - 23. Let a be m(11). What are the prime factors of 1 - 4*f - 4\/a?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 1908*m - 862140. Give a(-1173).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/5 - 2998*f**3\/5 + 579328*f**2\/5 + 2959768*f\/5 + 475488 = 0. What is f?\nAnswer: -4, -1, 234, 1270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1100511 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -12. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*w + 150 - 61 - 55 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 3*q + 3. Let m be u(-3). Suppose 0 = m*a + 2*a - 60. Suppose -o + a = -36. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**3\/4 - 71045*u**2\/4 - 426227*u\/4 + 497273\/4 = 0.\nAnswer: -71039, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2571021*g**2*u**2 + g**2 - 2*g*u**2 + 2*g*u + 11244*u**2 + 6*u - 1 wrt g.\nAnswer: 5142042*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 393\/16 (b) -611 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, j: 1, v: 1, e: 2, d: 1, s: 3}. Give prob of sequence ff.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2466531 millilitres?\nAnswer: 0.0002466531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*d, 86 = -2*m - 4*d - 102. Let s = m - -147. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10858 (base 9) to base 2\nAnswer: -1110001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 0.6. Let t be 5\/(-25) + 17\/35. Which is the nearest to t? (a) 1 (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -20*z**3 + 0*z**3 - 12*z + 7*z**3 + 12*z**3 - 8*z**2 - 4. Calculate q(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + -5 - 4 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50309 is divided by 152?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 2*q + 5. Give x(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -65.543 and 6.58.\nAnswer: -58.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284 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: Round 500.6 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*b - 8, 6*o + b = 3*o - 2. Let w(i) = 22*i + 335. Calculate the remainder when w(o) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153313*p**3*t - 2*p**2*t + 2*p**2 + p*t - 789*t - 1 wrt p?\nAnswer: -919878*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 = -0*i. Let m be 5 + i\/2 + -1. Let x(g) = g**2 + 2*g. Let a be x(0). Solve a*d = -d - m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13348793 = -58*g + 5269575 + 5170274. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -6, 2\/69, -0.3, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((4 + -1 + sqrt(192) + 1 + -3 + -3*(sqrt(192) + -1))*-2)**2 + 0).\nAnswer: -3136 + 512*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -807695*n**2 + 807775*n - 80.\nAnswer: -5*(n - 1)*(161539*n - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155255 = -5*h + 4930. Let i = -10948 + h. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 25.6. Let d = -0.37 + 0.07. Which is the biggest value? (a) -1\/2 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*x + x**3 + 3*x**3 + 10*x + 35*x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, i: 1, y: 5}. Give prob of sequence ydiy.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l. Let b(m) = -150578*m + 40. What is a(b(g))?\nAnswer: -301156*g + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938156 is divided by 58605.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 3*t - 7. Suppose -4*d = 2*z - 2*d, -5*z = 2*d + 15. Let x be s(z). Solve 2*h + x = -m, -5*h - m = -0*m + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -37*q**3 - 51*q**2 - 41*q + 3. Let u(l) = -54*l**3 - 76*l**2 - 65*l + 4. Calculate -5*u(j) + 8*x(j).\nAnswer: -26*j**3 - 28*j**2 - 3*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2544 and 1908.\nAnswer: 7632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47277679.\nAnswer: 67, 467, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (855\/(-114))\/(3\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 13*w - 48 = 0. Suppose 0 = -0*g + 5*g + w*x - 48, 0 = 5*g - 4*x - 72. What is the remainder when 95 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -2\/3, 8, -4, -1475, 0.2 in descending order.\nAnswer: 8, 3\/4, 0.2, -2\/3, -4, -1475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -430*h**3*v**3 - 2*h**3 + 150*h**2*v**3 - 15429*h*v**2 - 10*v**3 wrt h?\nAnswer: -2580*h*v**3 - 12*h + 300*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 11*t**5 + 2*t**3 - 2*t**2 - 11*t. Let c(m) = m**3 - m**2 + m. Let d(j) = -2*c(j) + z(j). Find the second derivative of d(l) wrt l.\nAnswer: 220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5235 is divided by 582?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 343372783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 20 = -3*c, 3*c - g - 27 = 2*g. Suppose 2*b = 9*b - 112. Calculate the least common multiple of c and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 + 2*o**2 - 3*o + 1. Let i(f) = 5*f**3 + 4*f**2 - 7*f + 2. Let h = -29653 + 29657. Determine h*i(d) - 7*b(d).\nAnswer: -d**3 + 2*d**2 - 7*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6168 (b) 1\/2 (c) 11827\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/4, 0, 0.4, 1\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10536 - 79804 = 1330*d + 1364*d + 65432 for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323*v + 307*v + 365*v - 927*v.\nAnswer: 68*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205 (base 7) to base 16.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -303 - -582. Let z = y - 158. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33815358 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 - 208?\nAnswer: -22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 44. Suppose -4*o + d = -3*u, -o + 2*u + 0*u = 3. Suppose o*m = -6*l + l + 95, 5*m + 3*l - 89 = 0. What is the highest common divisor of 24 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + 17. Suppose 28 + 1 = -5*r - m, 5*r + w = 3*m. Is (-2)\/r - (-588)\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1000 = -18*o + 10*o. Let g be (-1)\/(-2 + o\/63). Let h = 18 - 9. Calculate the greatest common divisor of g and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -g + 8 - 4, 4*g = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.01 (c) 0.323192 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 45 = 51 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1100) - (sqrt(1100) - 1*sqrt(1100)))*6 + sqrt(1100)) + -3)**2.\nAnswer: 420*sqrt(11) + 53909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuu when three letters picked without replacement from nuu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from zmvvczyvzyccvc.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 58. Suppose -j - 4*y + y = -468, 1907 = 4*j + b*y. Suppose -8*s + j = -149. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = 0, -5*v = -v + 3*o - 14. Suppose -3*r - 5*d - 14 = 0, -4 = 4*r - 2*d - 20. What is the remainder when v is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140386453\/418 + -335853. What is the common denominator of h and -99\/304?\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4.5. Which is the second biggest value? (a) -1.1 (b) o (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 times 0.00464?\nAnswer: 0.019024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15583, -15580, -15577, -15574, -15571, -15568?\nAnswer: -15565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**3 + 135941*f**2 + 12923714*f - 39994584 = 0.\nAnswer: -98, 3, 136036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 203, 298?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15732 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = -2. Let g = z - -2. Let u = -5987\/9 - -665. Which is the third smallest value? (a) 1\/11 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j - 121 = -147*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.031 - -0.131. Which is the nearest to w? (a) -3 (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m = 30. Suppose -d + 3*d = m. Solve f + 0 = -d*j - 5, -j = 4*f - 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 9*l**2 + 11*l. Suppose -68*s - 345 - 335 = 0. Calculate i(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56 + -5?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 189*k - 573 - 3774. Let c be (-29 + 3 + 3)*-9. What is the greatest common divisor of c and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3868 - -0.0132. Let p = 7.05 + -0.05. Let g = 3 - p. What is the smallest value in -5, l, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3825190111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 12749642?\nAnswer: -5\/12749642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*p + 26*p + 439 + 553 = -1133 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t - 155 = j, -74 + 5 = -t - 5*j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 305, 769, 1461, 2399, 3601, 5085?\nAnswer: 6869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from qswbioo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 21*i + 65. Let a be y(4). Solve -23 = a*l + 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 + 1324.\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140 - 101?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - -8. Let h = 62 - m. Which is smaller: h or 66\/5?\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600715?\nAnswer: 5, 317, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 418016928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -0.02, 15 in descending order.\nAnswer: 15, 5, -0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13415 by -2683.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n - 38*n + 107*n + 102*n.\nAnswer: 183*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 132400 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 1211448?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, n: 2, w: 4, t: 2, q: 4}. What is prob of sequence qqtt?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5627996259 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3991 + -79767\/20. Let p(a) = -a**3 - a**2 + 3*a - 2. Let w be p(-3). Find the common denominator of 14\/(-6)*w\/(70\/135) and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -3 - (24 + -30) - -19.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2836134.4205668081 - 48.4801031919. Let z = q - -2836170. Let l = z - -12.9. What is l rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.58597cm in nanometers?\nAnswer: 545859700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*h + 11, -g - g + 2*h = -8. Let y be (1149 - 2 - g) + 3. Let x = y - 1839. Round x to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005219149276 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 10:45 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 627\/(-132)*-12 + 180\/(-18)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 2*p - 131 = 33, 0 = 2*p + 10. Solve f = -y + 2*d, -28*y + 32*y + 4*d - 8 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -7455170.\nAnswer: 1\/1491034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-1) + 6\/1 + 3. What is the common denominator of (5 - t)\/((-30)\/73) and -71\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-2 + -3 + -4)**2.\nAnswer: 196*sqrt(13) + 2597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(15\/6))\/(16\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -23. Let p = a - 7. Find the third derivative of 0*k**p + 2*k**4 + 5*k**2 - 7*k**2 wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 2467?\nAnswer: -2466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-21) + 1 + 253\/231.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -23*u**8\/48 - u**6\/30 + u**5\/30 - 113*u**4\/24 - 3*u**2 + 7*u + 33. Find the second derivative of r(s) wrt s.\nAnswer: -3220*s**3 - 24*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000036348 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**3 - 242*f**2 - 174*f - 880. Calculate t(-80).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 611 and 197541?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53857 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**4 + 126*c**2 + 358*c - 2 wrt c.\nAnswer: -72*c**2 + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 410 = 4*m. Calculate the remainder when m is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1030 + -4?\nAnswer: 102a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(36\/21) + 9\/(216\/(-352))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 6*w - 4. Let d = 27 - 36. Let x = 14 + d. Determine z(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101221311042 - -2?\nAnswer: -101221311040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from nxnxnnk?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 + 41*l**3 - 7*l**3 + 38*l**3 - 15*l**3.\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233012 - 43211?\nAnswer: 134301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 8. Let q(u) = u - u**2 - 9 + 5*u + 1 + 1. Let p be q(6). Let b be d(p). Is b at most as big as 9\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2. Let z(r) = 2. Let g(u) = u**2 + 8*u - 6. Let p be g(-8). Let s(c) = c - 6. Let h(l) = p*z(l) - 2*s(l). Calculate j(h(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140758743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1282.9999999806 - -1283. What is m rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**2 + 2*o**2 - 34*o**4 + 36*o**4 + o**3 - 2 to m*o + q*o**4 + z*o**2 + a*o**3 + b and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 2. Let c(w) = 5*w**2 - 9. Let q(a) = -2*c(a) - 9*t(a). Let h(i) = 2*i**2. Calculate q(h(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 42. Solve -v*o = -o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13a89f + 2?\nAnswer: -13a89d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334340?\nAnswer: 2, 5, 73, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 21 = b. Let y be b\/(-26) + 2\/13. Suppose -3*i - 41 = -2*v, -y*v + 2*i + 43 - 5 = 0. What is the remainder when 31 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 7:43 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2014707 + -495293. What is b rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-26) - 6948\/12545. Which is the second smallest value? (a) d (b) 2.4 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) -3 (b) -2\/5 (c) 0 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 4*a**5\/5 - 26*a**4 + 364*a**3\/3 - 132*a**2 + 290. Suppose g(o) = 0. What is o?\nAnswer: 0, 1, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44365173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 2*g + 4*g)*(3*g - 8 - 4*g + 3) + 0 - g**2 + 0.\nAnswer: -7*g**2 - 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8267 and 833.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7410481, 14820960, 22231439, 29641918, 37052397, 44462876?\nAnswer: 51873355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 13 = 2. Let d be (4\/(-6))\/((-8)\/(-12)). Sort 4, d, x in ascending order.\nAnswer: d, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.68 + 2. Let g = 0.12 - i. Round g to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 1\/4, -8, 21, -5, 0.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 - 2*p**3 - 2*p**4 + 4*p**3 - 2*p - 4*p - 4*p**3 in the form h + q*p**4 + s*p**2 + z*p**3 + r*p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*u**3 - 4*u**2 + 9*u + 5*u**2 - 51*u**3 as k*u**3 + n + p*u**2 + b*u and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67591, -67583, -67575, -67567, -67559, -67551?\nAnswer: -67543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * 0.19\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 5. What is a(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23 (b) -3182 (c) -4\/3 (d) 5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5824 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 4. What is t(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.38, -15062, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -236*i + 9. Let a(m) = -118*m + 4. Calculate 5*a(n) - 2*h(n).\nAnswer: -118*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23755 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0.2. Let p = 0.11696 + -1.11696. Let v = -1 - 1. Which is the closest to 0.1? (a) v (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 137*h - 163*h + 54*h + 48*h. Let m(s) = 19*s. Determine 6*i(f) - 22*m(f).\nAnswer: 38*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*(h\/h**3)\/h))\/h)\/(((h\/h**(-2))\/h)\/h))\/((h**(-1)*h)\/h)**(9\/2)*(h**1)**(-3\/37)\/((h*h**1)\/(h\/(h\/h**(-3))*h)) assuming h is positive.\nAnswer: h**(105\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161413 - -227010. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -25. Suppose -5*w + 28 = j. Suppose 2*x = w*x - 12. Solve 4*q - x = 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h**2 - 3*h - 8. Suppose -10*t + 6*t + 5*y + 48 = 0, 2*y - 8 = 0. Calculate the remainder when w(4) is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 53*r**5\/5 + 84*r**2 - 72. What is the second derivative of k(w) wrt w?\nAnswer: 636*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1792.3+0.15\nAnswer: 1792.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2337, -4673, -6995, -9297, -11573, -13817?\n\"Answer: c**3 + c**2 - 2346*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1153 - 1147. Solve -7*b + m*b + 2 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010100011101010100111 - -100?\nAnswer: -100010100011101010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 3*y - 4. Let s be (-6 - -2) + 2\/2. Let d be q(s). Solve -5*c - 5*h + d - 15 = 0, -3*h + 4 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24977611?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1008) + -2.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 - 10*d**2 - 1229*d + 7418. Determine x(6).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 2, -2, 6, 26, 17 in ascending order.\nAnswer: -29, -2, 2, 6, 17, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-1\/3))*z**(2\/27))**2 assuming z is positive.\nAnswer: z**(-14\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86382\/7 + 12340. Let c be 4 - 4\/2*1. What is the closest to 0 in c, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 6*h**2 - 32*h - 157. Let k be w(-4). Solve q + 5*f + 3 = -18, -5*q - k*f - 17 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**3\/6 - b**2\/4 - b + 2. Factor p(y).\nAnswer: (y - 2)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36391 (base 10) in base 7?\nAnswer: -211045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0456 (b) -3\/2 (c) -0.2601 (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-83204)\/2976)\/(-61)*2\/33\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 1) + (35 - 38)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4748760 and 192?\nAnswer: 37990080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80651*p**3 - 90435*p.\nAnswer: -483906*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 5)\/6*6. Let r(s) be the second derivative of 0*s**2 + 1\/2*s**c + 1\/3*s**4 - 3*s + 1\/20*s**5 + 0. Calculate r(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 475130783 - 2?\nAnswer: 475130781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2012*i**2 - 5356 + 5356.\nAnswer: -2012*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 28 + 40 = 0. Let s = m + 40. Find the third derivative of -k**s - 8*k**2 - 8*k**6 + 25*k**2 + 2*k**2 wrt k.\nAnswer: -1080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42177*-0.136.\nAnswer: -5736.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -5*z + 9, 37877*z + 4*w + 12 = 37881*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943175?\nAnswer: 5, 31, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 - (-8 + -10 + (-2 - -19))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/5? (a) 9.5 (b) -10 (c) -2\/9 (d) 2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/2015)\/(4\/(-10)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 66*q - 9. Determine m(2).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(-2*sqrt(7)) + -2 + (sqrt(150)\/sqrt(3)*-1 - 5*sqrt(200)\/sqrt(4)))**2.\nAnswer: 130*sqrt(2) + 4233\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90402?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 4839021.\nAnswer: -1\/1613007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2844 or 28?\nAnswer: -2844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 24395970 to the nearest one hundred thousand.\nAnswer: 24400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) -5 (b) -18 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2\/5, -0.0706, -2 in descending order.\nAnswer: 1, -0.0706, -2\/5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94626 and 28917.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -31*g**4 + 5*g**2\/2 - 11*g + 4. Let i be n(11). Round i to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*286\/15860*1*2\/(-11)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(160\/30)*(-58)\/(-24)*(-3104)\/(-97).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 14*n + 2. Let m be v(1). Suppose -40 + 135 = 5*b. Let z = b + -14. Solve 6 - m = -z*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7580569933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 9:32 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 28975 (b) -85\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l = -5*l - 28. Solve 5*y - 6*y + l = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*b**2 + 4*b**2 - 3*b**2)*(445*b**2 + 36*b + 18*b + 1 - 54*b).\nAnswer: 5340*b**4 + 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182838597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -183?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -8*z**2 - 13*z - 5. Let m(h) = -3*h**2 - 6*h - 3. Let b(l) = 2*i(l) - 5*m(l). Suppose b(y) = 0. What is y?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and (0 + -2)\/((-1)\/5)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 131805\/(-105)) + 2\/(-7). Let d = h + -901. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7443649 divided by 10.\nAnswer: -7443649\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.422854 millimeters to nanometers.\nAnswer: 4422854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -82.3814 and 221.66?\nAnswer: 304.0414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/4*(24\/(-9))\/1. Let j(p) = -p**3 - 5*p**2 - 5*p - 3. Let l be j(d). Let c(s) = 3*s - 3. Let b be c(2). Solve -4*v - 5*n = -l, -b*n - 12 = n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1368*y + 63 = -1361*y. Calculate the remainder when 22 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-8)\/t**(-12) assuming t is positive.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 0*y - 2*y + y - y - y + (3*y + 0*y - 2*y)*(-2 + 0 + 0) - y - 3*y + 2*y + (-5 + 5 + 2*y)*(4 - 5 + 0) + y - 2 + 2 in the form h*y + o and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.36 or 280.42?\nAnswer: 280.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 888 - 885. Let z(a) be the first derivative of -a**2\/2 + 2*a + 1. Let k be z(o). Which is smaller: -6\/5 or k?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4517 and -4.\nAnswer: -18068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 71, 254, 541, 926, 1403, 1966, 2609?\n\"Answer: -k**3 + 58*k**2 + 16*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2177 + 2232. Solve 0 = -2*q - m*q + 114 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 1. Suppose 0 = 14*h + 5 + 9. Let a(p) = -p + 3. Calculate h*a(x) + 4*u(x).\nAnswer: 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 7*j + 26 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/66 + 50\/(-330).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -854 - -147?\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 8*m - 5. Let k = 15 - 11. Suppose -q = 3*v + 4 - 2, -q - 2*v = k. What is the hundreds digit of l(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 637.963 * 10\nAnswer: 6379.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**5\/20 - 3*l**4\/4 - 17*l**3\/6 - 3*l**2 - 14*l. What is the hundreds digit of s(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 260 or 262?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-2)*((-16)\/4)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + -2 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 20*h + 49. Let b be m(3). What is the closest to 1 in b, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/21 - 5164*n\/21 - 432400\/7.\nAnswer: -2*(n + 282)*(n + 2300)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 10000000020220110?\nAnswer: -10000000020220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 2*r**2. Let v(t) = -t**3 - t**2. Let x(o) = -d(o) + 4*v(o). Find the third derivative of x(z) wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 0.1, -12, -4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 12*c**3 - 2*c - 1. Let p be 0\/(-2) - (1 + 4 + 76). Let q = -82 - p. Determine m(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/9)\/t**(3\/13) assuming t is positive.\nAnswer: t**(-53\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (1 - (9 - (-3 - -7)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-6)\/10)*52. Let x = i + 1303\/5. What is the nearest to -0.1 in 4\/7, -2\/87, x?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 7:48 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 244.0457nm?\nAnswer: 0.0000000002440457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -236826 and -3.\nAnswer: 710478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56397811, 56397813, 56397815, 56397817?\nAnswer: 56397819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d**3 + 2*d**2 - d - 2. Let y be j(-2). Let c = y - -94. Let k = c - 18. What is the greatest common factor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8588 and 18419.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 879.634 centimeters in kilometers?\nAnswer: 0.00879634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 5*a - 59. Let t = -33 + a. Suppose 0 = 2*q + 2 - t. Sort 8, q, 4, -5.\nAnswer: -5, q, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 0 + 1\/2*b**3 - 9\/20*b**5 + 1\/7*b**7 - 1\/4*b**4 + 0*b**2 - 7*b + 1\/10*b**6. Suppose v(g) = 0. What is g?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 69119 to the nearest 1000.\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 0*r - r)*(0*r**3 - 2*r**3 + r**3) + 88*r**4 + 2*r**3 + 85*r**4 - 172*r**4.\nAnswer: -r**4 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2358653\/27880 - -1\/5576. Let q = f - -85. Which is the nearest to -1\/4? (a) 0.3 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -13*t + 12. Let z(u) = 20*u - 17. Determine 7*p(o) + 5*z(o).\nAnswer: 9*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70947*h**3 + 298*h**2 - 216?\nAnswer: 425682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1219 - -1236. Let t(f) = -5 + 2*f - 19 - 9. Let n be t(s). Which is smaller: n or 2\/149?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1285 or -1278?\nAnswer: -1278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-500)*-15*4\/6*2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -10, -80 in ascending order.\nAnswer: -80, -10, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8658 = 3*k + 6918. Is 29 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x\/x**(-4\/5))\/x*x*x)*x**20\/x assuming x is positive.\nAnswer: x**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4)\/i**(-1\/18))**45)**(-10) assuming i is positive.\nAnswer: i**1775","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8294 + 8293.5637. Let f = -0.413 - k. Let q = f + -0.0662. What is q rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r + 3. Let c be q(-12). Let h = 45 - c. What is the remainder when h is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1086098, 4344398, 9774902, 17377610?\n\"Answer: 1086102*s**2 - 6*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/242)\/(9\/12)*-22\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41 + 41 - 241*l**3)*(-29 + 29 + 6*l) to the form j*l + i*l**4 + a*l**3 + z*l**2 + o and give i.\nAnswer: -1446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-2))\/(-58 - 2814\/(-48)).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4710659 millilitres to litres.\nAnswer: 0.0004710659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 165052919 divided by -6661\nAnswer: -24779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.2 + -32. Which is the nearest to 0.2? (a) 7 (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**6\/60 + 133*w**5\/5 + 4303*w**2. Factor k(y).\nAnswer: 2*y**2*(y + 798)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-54))\/((-2)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2\/7)*y))**(-44)\/((y*y*y**2*y)\/y**(2\/19)))\/((y**(-1\/4)\/y*y)**(-47)\/((y\/(y*y**0*y))\/y*y)**(3\/29)) assuming y is positive.\nAnswer: y**(-452343\/15428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-2)\/12)\/((-1360)\/(-2176)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -0.2 (c) 17 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((((w*w\/(w**(2\/9)*w))\/w)\/w)\/w))**(-3\/4)*w**(4\/7)\/w**(-9) assuming w is positive.\nAnswer: w**(601\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4 + (-2 + 0 + 1)*(-2 + 0 + 0) + 84 - 20 + 108 + 0 - 3 + 0)*(-3*z**5 + 0*z**5 - 7*z**5).\nAnswer: -1730*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13141\/12 - 1094. Is 2 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20974, 4, 0 in decreasing order.\nAnswer: 4, 0, -20974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34751367, -69502734, -104254101, -139005468?\n\"Answer: -34751367*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -156*24\/(-576).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 11*w - 5. Let b(p) = -5*p + 2. Suppose n = 1 - 3. Let o(y) = n*q(y) - 5*b(y). Let u(d) = 2*d. Give u(o(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -14*q**2 - 314*q + 1567. What is y(5)?\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3973 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**3 - 6*d**2 + 6*d - 44. Let s(i) = i**3 - 8*i**2 - 8*i - 22. Let f be s(9). Is z(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h - 655 = 40*h + 119*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 6.88, -6, 1\/5, -61?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*o + 118*o + 40*o + 103*o + 71*o to the form q + v*o and give v.\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146579 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**6\/30 - 3*p**5\/5 + 4*p**4 - 40*p**3\/3 - 25*p**2. Solve w(s) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*b, -y + 208 = -5*b + 228 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, 5, -1, 9 in increasing order.\nAnswer: -148, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 363 - 342 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 30*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*h**5\/7 - 18432*h**4\/7 - 10986806*h**3\/7 - 1901481968*h**2\/7 + 127086331776*h\/7 - 1306103698432\/7 = 0. Calculate h.\nAnswer: -632, 13, 199\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -332 - 20?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1110056789004.9 and 0.05.\nAnswer: -1110056789004.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2120\/17 or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*t + 4164 = 0, 4*t + 479 = 2*j - 2301. Does 33 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40462 is divided by 109.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (15\/4)\/(477\/(-1272))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/25637217?\nAnswer: -8\/25637217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (-74 - -76) + -3 + 2 - (0 + 10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*w - 2*w**2 + 38*w - 73*w + 110 - 110.\nAnswer: -2*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - u + 12 = 0. Suppose -2*p = u*p - 620. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57440134 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*z + 2*z + 14, -5*m - 2*z = -2. Suppose -2*n - 100 = -7*n. What is the lowest common multiple of n and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2441395, 2441394, 2441393, 2441392?\n\"Answer: -a + 2441396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619*f = -604*f + 125 - 20 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 19*m = 16. Suppose n = m*n - 196. Solve -5*g = -n + 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 315532177 to the power of 1\/2, to the nearest integer?\nAnswer: 17763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/5 and 29\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*l = -50, -2 + 27 = j - 5*l. Let i = -21 + j. Let o(c) = 7*c**2 - 6*c + 6. What is the units digit of o(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s + 7*s - 16*s - 344 - 6*s + 10*s to the form m + u*s and give m.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 32. Let i(x) be the second derivative of 4*x**g + 0*x + 0*x - 4*x - 6*x**3. Let v(p) = -3*p. Give i(v(c)).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6\/((h**(-1\/10)*h)\/h))**(-39)*(((((h*h**0)\/h)\/h)\/h)\/h)**(2\/121)*(h*h\/(h*h**(-2\/7)\/h))**(25\/6) assuming h is positive.\nAnswer: h**(-5804299\/25410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1237570, -2475137, -3712694, -4950241, -6187778, -7425305?\nAnswer: -8662822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7736414 millimeters?\nAnswer: 773.6414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 1:05 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3394 - 557. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1299*a**2 - 496*a**2 - 808*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 52 + -88 + 93 + -24\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6497 is divided by 1074?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4288\/(-804)*(-204)\/(-17)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 1316, 3507, 6574, 10517, 15336, 21031?\n\"Answer: 438*w**2 + w - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 67232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + g - 4*g = 300, -2*g + 73 = d. Calculate the remainder when d is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - -10)\/((-6)\/4). Let y be 30 + 16 - 1*w. Is (24\/y)\/(1\/1166) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 5*s**4\/4 - 3*s**3 + 3*s**2\/2 + s - 18. Factor j(u).\nAnswer: (u - 1)**2*(5*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -461 or -460?\nAnswer: -461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -689 take away 4442126686?\nAnswer: -4442127375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 2*10\/(-4). Let z(x) = -3*x**2 - 6. Let t(n) = 6*n**2 + 11. Let p(b) = 3*b**2 - 117*b + 103. Let d be p(38). Give d*z(u) + g*t(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36c1 + 1?\nAnswer: -36c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*i**3 + 1450173*i**2 + 8701686*i + 13052853.\nAnswer: -3*(i + 3)**2*(8*i - 483439)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 10 + 5 - 5*d + 4*d + 5*d**3 in the form r + x*d + i*d**2 + a*d**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, 5\/42, 0.3?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/11)\/((-54)\/9)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/3 - (-6260025)\/585675\nAnswer: 3\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 14\/(14\/5))*22\/2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*v + 5*i - 14, 3*v - 24 = -4*i. Suppose -w - v*k = -277, -w + 10*k - 12*k + 283 = 0. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210710.1976 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1698.545 millennia?\nAnswer: 16985.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242, -1, -8, -117, -2.\nAnswer: -117, -8, -2, -1, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -742106*i**4 + 5015897 wrt i?\nAnswer: -2968424*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -38\/983, -2349, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*1*sqrt(187)*-1)\/((2*sqrt(121)*1 - sqrt(121))\/(sqrt(396)*-1)).\nAnswer: 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -110010 (base 2) in base 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2102495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9715.\nAnswer: 5, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43251 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5690.7 and -5.\nAnswer: -5695.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1133 - 1137. Let y(p) = -p**3 - 4*p**2 + 5*p + 1. Calculate y(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 1. Let v(o) = 4*o + 15. Let y(q) = -2*r(q) - 2*v(q). Let l be y(-15). Solve z + 5*k + 14 = 0, -4*z + 7 = k - l*k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1331)*1 + 4)**2.\nAnswer: -6735 - 440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1165 (base 8) to base 6.\nAnswer: -2525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1250 is divided by 83?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -12*z. Let d(x) = 5*x + 5507. What is o(d(h))?\nAnswer: -60*h - 66084","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/24*4\/(-10). Let d = 0.7 + -0.4. What is the closest to o in 0.4, 1\/8, d?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = s + 7 - 13, -5*u = -4*s + 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*t - 309*t + 9 = -5*p - 33, -4*p - t - 27 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 2:04 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -49*l**3 + 130*l - 51*l - 33*l. Let v(x) = -2*x**2. Determine y(v(q)).\nAnswer: 588*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x. Let a(z) = 2*z**2 - 10*z + 1. Let l be a(9). Let h(v) = 4 + 87*v - 74*v - l*v. What is f(h(u))?\nAnswer: -120*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 209471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - j**2. Let n be w(-2). Suppose 6*g - p - 9 = g, 0 = 5*g - n*p - 6. Suppose 5 = -3*y + 4*y. What is the remainder when y is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -787*r**5 + 10*r**3 - 847*r - 5. Let i(g) = -393*g**5 + 4*g**3 - 423*g - 2. Let d(k) = 2*a(k) - 5*i(k). Find the second derivative of d(f) wrt f.\nAnswer: 7820*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 9. Let u be 6\/i + 7 + -2. Suppose -2*z - u*z + 32 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 28. Solve 3*q + 4*u - 7 = 0, -22 + p = -4*q + u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 + 3*r**2 - 2*r**5 + (-2*r - r + 2*r)*(r**3 - r**3 + r**4) + 33*r**4 - 2*r**5 - 2*r**4 - 14*r**4.\nAnswer: -5*r**5 + 17*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-108)\/15)\/(3\/(-10)). Suppose 0 = -x*z + 17*z + 35. Solve 17 = 4*l - 3*y, z*y + 2 = l - 15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -797 + 1441. What is the tens digit of w\/(-21)*6\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kerkrw. What is prob of picking 1 w, 1 r, and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(66) + 1*sqrt(66)) + -6*sqrt(66)*2)\/(2*sqrt(864)*3).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 25. Suppose -5*f + d = 3*z, 2*z = 2*f + 2*f - 4. Solve 0 = -o - f*o + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 0)*(-v + v - 2*v) + (3*v - 3*v + v)*(-3 + 2 + 0) + 3*v - 3*v - v + 0*v + 3*v + v to the form i + j*v and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17661 take away 700263895?\nAnswer: -700263895.17661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 1, b: 1, n: 1, p: 1}. Give prob of sequence bn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 401556 and 23208.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, t: 1, h: 2, d: 7, u: 4, x: 1}. What is prob of picking 1 t and 2 d?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 2*x**4 + 3*x**3 + (0*x**3 + 4*x**3 - 3*x**3)*(12 + 11*x - 12 + x + 1 - 1 + (3 - 3 - 2*x)*(1 - 1 - 1)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9274 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 296627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1.56, -0.6, 1\/2, -2\/9?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 12:30 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 0 - 3. Let x be (l\/2)\/(2\/4). Suppose -x*d + 0*d + 96 = 0. Calculate the remainder when d is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 7*w + 12. Suppose -10 = -7*q + 2*q. Suppose 5 = q*c + 1. Let f be j(c). Solve 2*d + f = -4*v, 2*d - 19 = -0*v + 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-51)\/(31824\/96) - 72\/26. Which is the biggest value? (a) -5 (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 118*q**3 + 3*q**2 + 1226*q - 36286821 wrt q?\nAnswer: 354*q**2 + 6*q + 1226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -99, 5, -5, 0 in decreasing order.\nAnswer: 5, 0, -1, -5, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 3\/2 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.12773 - 0.87227. Let z(w) = 4*w**3 + w**2 - w. Let m be z(1). Let o = 7\/3 + -41\/15. What is the nearest to 0 in m, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5 - 2306*w**4 - 665856*w**3 - 663552*w**2.\nAnswer: -2*w**2*(w + 1)*(w + 576)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 5*b**2 - 2*b - 8. Let c be w(6). Let s(j) = 2*j - 22. Let g be s(c). What is the highest common divisor of g and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) - -5*1*sqrt(144))\/(sqrt(96)\/(sqrt(48)\/sqrt(4))))\/(-6*sqrt(6)*3 - (sqrt(6) + sqrt(150))*-2).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 101545 and 345.\nAnswer: 304635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44\/9, -5\/4, 11, 40\/13.\nAnswer: -44\/9, -5\/4, 40\/13, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371331, -1485337, -3342013, -5941359?\nAnswer: -9283375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151\/4 - -38. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sossso. What is prob of picking 2 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 2*h**2 + 5*h + 3. Let v(b) = b + 2. Let f be v(-5). Let o be p(f). Let x be 2\/8 + o\/(-140). Sort -2, -5, x in descending order.\nAnswer: x, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 5:15 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b + 3. Let v(t) = 996*t**2. Calculate v(k(f)).\nAnswer: 24900*f**2 - 29880*f + 8964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -37*o**2\/2 + 8. Let a(z) = 2*z. Calculate a(j(b)).\nAnswer: -74*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26.4 or -3158277?\nAnswer: -3158277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350, 703, 1056, 1409?\nAnswer: 1762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/7 (b) 16\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 564\/(12\/(-16)*-2). Suppose x = 2*c - 114. What is the remainder when c is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22602093.4 rounded to the nearest one hundred thousand?\nAnswer: 22600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 92.3093 and -9063248.\nAnswer: -9063155.6907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 2. Let l(f) = f**2 + 3*f + 3. Let x = -30 - -33. Give x*g(c) + 2*l(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 645 divided by 129\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 2119?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 24785*s - 25. Let h(i) = -6196*i + 6. Calculate 25*h(l) + 6*m(l).\nAnswer: -6190*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 38, 15, 0.\nAnswer: 0, 2, 15, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25 - 14*p**2 - 25 + (3*p + 0*p - p)*(0 - 3 + 2)*(1023 - 1023 - 405*p).\nAnswer: 796*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/9 and 46\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*b + 7*q + 3, 5*b - 35 = -5*q. What is the first derivative of 5 + 31*j**b - 94*j**2 + 94*j**2 wrt j?\nAnswer: 93*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/1363 and -20\/87?\nAnswer: 4089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 8. Let v be d(-6). Let h be 1\/(v - (-5)\/3). Sort 2, 0, h in increasing order.\nAnswer: h, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(66)\/sqrt(6) - (sqrt(11) + (sqrt(539)*-1)**2)) + (-4 + sqrt(99)\/sqrt(9) - (sqrt(1100) - 2*sqrt(1100)))**2.\nAnswer: -88*sqrt(11) + 803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(275).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**4\/6 - 5*a**2\/2 - 2*a. What is the derivative of c(g) wrt g?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1061 divide 3745721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14045 divided by 2809.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c. Suppose 0 = 3*m - 3*n, -m - 3*m + 8 = 4*n. Let t(h) = h. Let p(r) = m*l(r) + 6*t(r). Let b(q) = 6*q. Determine b(p(f)).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -27. Calculate the remainder when 42 is divided by (33\/6)\/(4\/n).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (1 - 1\/(-3)). Which is smaller: o or -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 6:04 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.6, 8, -1\/73, -4.2, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 350*s**3 - s**2 + 47*s - 238. What is the tens digit of i(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2. Let x(p) be the second derivative of -p**4\/4 + 13*p. Calculate x(j(f)).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-5\/3))\/(c\/(c\/((c*c*c**(2\/13)\/c*c)\/c)*c)*c)*(((c**(2\/11)*c)\/c)\/c)\/(c**(3\/2)*c) assuming c is positive.\nAnswer: c**(-4409\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 16467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**3 - 6765*w**2 - 40435*w - 33675 = 0. Calculate w.\nAnswer: -1347, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*d = -d - 12, -3 = -4*l - d. Suppose -87*t + 84*t + 171 = l. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -3. Suppose -186*m = -185*m + 219. Let o = 215 + m. Put -3, x, o, 4 in descending order.\nAnswer: 4, x, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1250 = 3*s - 5*v, 110*v = 3*s + 106*v - 1252. What is the smallest common multiple of s and 175?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -9*h + 4. Let d(j) = j**2 + 6*j - 4. What is d(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**5\/20 + 2*f**2 + f. Suppose 28*c - 26*c - 44 = 0. What is the lowest common multiple of q(0) and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**4 - f**3 + f + 1. Let u(h) = -9*h**4 - 4*h**3 - 51*h**2 - 96*h - 56. Let l(g) = 24*a(g) + 3*u(g). Factor l(z).\nAnswer: -3*(z + 1)*(z + 3)*(z + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 635*r - 640*r - 117, 12*t = 8*t - 5*r - 89 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 2052.\nAnswer: 14364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-10) + (-1)\/2. Which is the biggest value? (a) q (b) 3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 5*d**2 + 7*d - 5. Let f be t(6). Let m = 3 + f. Suppose m*o - 2*o - 4 = 0. Calculate the remainder when o is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7538117 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 26. Let z = 156 + -142. Let m = z - 6. Calculate the remainder when w is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*f + 3*n - 5*n, 4*n = f + 12. Suppose -5*d = -2*q - 29, 5 = 4*q + f*d - 7. Sort 3, q, 2 in decreasing order.\nAnswer: 3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 11:29 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/256560 and 91\/4268.\nAnswer: 273749520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 8 + -1 + -12 + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27869 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-2 - -2) - -11736. Let h be (-101734)\/(-4) + (-4)\/(-8). Let k = h - v. What is k rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 1593*x**2 + 4 - 6396*x**2 in the form k + s*x**2 + w*x and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/4)*j)\/j)\/j**10*(j**(1\/3))**18 assuming j is positive.\nAnswer: j**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppxp when four letters picked without replacement from {x: 13, p: 5}?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/3 + 0 + -6. Let u = g + 6. Let h = u + 10. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 228*a = -m - 191 + 418, -4*m + 2 = -2*a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*a + 4*t + 6 = -141*a, 2*t + 8 = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o + 1. Let r(l) = 21*l - 5. Let i(b) = 2*r(b) + 11*s(b). Let g be i(-5). What is the units digit of (g - (2 - 2))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*s + 4. Let t = s + -8. Suppose n = 6*n + t. Which is the second biggest value? (a) -0.2 (b) -1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 3 - -8 - (0 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 4770, 12592, 23542, 37620, 54826, 75160?\nAnswer: 98622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -100000?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/5 in 0.2, 2, 5, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.10494723 and 4.\nAnswer: 0.41978892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3 + (-1 + sqrt(4500))*5 - -4*(sqrt(4500) + (sqrt(4500) - (-1 + sqrt(4500))) - sqrt(4500))*-6))**2 + 1.\nAnswer: -7800*sqrt(5) + 113177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17955 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 4, -3*a - 28 = 2*o + 2*o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -52, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/(sqrt(12)\/sqrt(4)))\/(sqrt(4) - (sqrt(100)*-1 - sqrt(100)))*4)**2.\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 21 = d + 5, d - 19 = 3*k. What is the lowest common multiple of d and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7802829 and 852?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6452\/7 - -920. Let q = 62 - 62. What is the third smallest value in -1, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7655, 7654, 7653, 7652, 7651, 7650?\nAnswer: 7649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -317, -2649, -8985, -21329, -41685, -72057?\n\"Answer: -334*x**3 + 2*x**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 578 - 738. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1077\/7, 0, 273?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -196*g - 15. Let c be r(-10). Let u be c\/45 + 4\/(-18). Let z = 63 - u. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -2 - (294\/35 + -9). Which is the closest to 2\/655? (a) -2\/5 (b) 1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1 - 6 - 3*g - 2 + 6*g. Let t(u) = 6 + 17*u**2 + 21*u**2 - 34*u - 15*u**2 + 10*u + u**3. Let z be t(-24). Give d(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 2. Let l(m) = -1. Let t(v) = i(v) - 6*l(v). Let a be t(-4). Solve 4*f + 12 = -a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2. Let z = 4 - 4. Let g(s) = 5*s**2 + 0*s - 4*s**2 + z*s. What is w(g(c))?\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 15) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-6))\/(24\/(-18))*(5 - 13).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + 8 = 18*l. Let k(y) = 5 - 5 - y + l. Suppose -2*n + 2 = -5*u, -2*n + 4 = 3*u + 18. Give k(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-25)\/(1612\/538 + -3) + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2)*(-64)\/(-12))\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z - 9 = -3*x, 5*x + 4 = 2*z. Let f = -1 - -0.6. Let h = -2.4 - f. Which is the closest to -1\/3? (a) h (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*d*j**2*y - 2*d*j**2 - 3*d*j*y - 8*d - 604*j**2*y + 6*j + 135*y wrt j?\nAnswer: 30*d*y - 4*d - 1208*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-16) - 44\/16. Put g, 0, 0.4 in descending order.\nAnswer: 0.4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -305764*-0.2\nAnswer: 61152.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 334 and 70763578?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1438344, 2876694, 4315052, 5753418?\nAnswer: 7191792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3396854 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 10001?\nAnswer: 10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k - 5*k**2 - 143 - k**4 + 143 + (3*k**3 - 3*k**3 + k**3)*(4*k + 0*k - 2*k) to the form y*k + m*k**3 + d + n*k**2 + w*k**4 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00094267595 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -39*x**3 - 2*x**2 + 2*x - 1. Determine j(1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(2\/(-3)))\/(-1 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2160, 8828, 19934, 35472, 55436?\nAnswer: 79820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1072\/(-144) - 14\/(-2). What is the second smallest value in i, 21, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = -i + 8, -5*i + 6 = 4*s. Suppose 0*a + 3*a + 14 = 4*c, -s*a + 23 = 3*c. Put -7, a, 5 in ascending order.\nAnswer: -7, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1411 in -1, -2\/5, 10, 0.2, -2\/115, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/123 and 61\/24?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -426 + -18905.067.\nAnswer: -19331.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 999980 * -66\nAnswer: -65998680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.410582449 rounded to 3 dps?\nAnswer: -2.411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10201139 or -10201140?\nAnswer: -10201139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 8*i**2 - 8*i. Let d(l) = -497*l + 32. Calculate the remainder when d(0) is divided by s(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 55 (b) -1 (c) 21 (d) 3\/5 (e) -1\/59\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -7) + (-11 - (1 - -12)) + 8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 100976\nAnswer: 5\/50488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 10:23 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631.36 rounded to the nearest 10?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-1)\/5*(-3380)\/156\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + 21*r**2 - 272*r + 71. Calculate q(-20).\nAnswer: -2089","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 3*o + 2. Let g be r(-2). Let f(w) = -7*w + 7 - 111*w**2 + 59*w**2 + 57*w**2. Is f(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 2)*1\/(-2). Suppose w = -2*u + 11 + 1. Calculate the remainder when 22 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3 - 7758*n**2 + 1427*n + 45.\nAnswer: -12*n - 15516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obbossbsssbs. What is prob of picking 2 b and 1 s?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 4*i + 3385, -2*m + 438 = -4*i - 928. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 225 - 329. Let o = m + 173. Let c = -12 + o. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**4\/8 + 2*s**3\/3 + 41*s**2. Let x(z) = -z**3 - 4*z**2 - z - 3. Let f be x(-4). Let p = f - -4. What is d(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -0.0206 (c) -0.4 (d) 0.4 (e) -4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 21*y + 36 = 0. Let g = 29 + -28. Let c be (2\/(-8))\/(g\/(-12)). Solve -c*h - 3 = y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + k - 10 = 6, -4*k = 16. Let l = h + 3. Suppose -28 = -5*d - l. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 30185 and 30183 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34930 is divided by 11642.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10888194*w**5 - 350249162*w**2 wrt w?\nAnswer: 653291640*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 5*z**2 + 5*z + 3. Give w(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.047 + -20.953. Let l = -21 - k. Suppose 0 = -5*h + 2*p - 18, 0*h - h + 5*p = 22. Put h, l, 5 in increasing order.\nAnswer: h, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 3}. What is prob of sequence jj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162207 is divided by 4765?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-3\/8)\/g))\/(g\/g**(2\/5)))\/(g\/g**(-4)*g\/(g**(1\/8)\/g))*((g\/(g*g*g\/(g\/(g**1\/g)*g*g)))\/(g\/(g*g**(-1)\/g)))\/(g**(2\/7)\/g**0) assuming g is positive.\nAnswer: g**(-447\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/6 - (-4)\/12. Let k be -2 - (2 + -13) - q. What is the units digit of k + -3 + 0 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**4 + 12*z**3 + 28*z**2 - 60*z - 72 = 0. Calculate z.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -8*o**2 - 1. Let u(w) = -w**2. Determine u(d(z)).\nAnswer: -64*z**4 - 16*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - 58. Suppose -8*q + 15 = -r*q. Suppose -k + 2*m + 1 = 0, q*k - 4*m - 4 - 9 = 0. Calculate the remainder when 29 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(136) + sqrt(136) + sqrt(136)))\/(sqrt(8)*-1*-3) - (-2*(3 + sqrt(17) + sqrt(68)\/sqrt(4))*-1)**2.\nAnswer: -308 - 43*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w + 20. Let n be y(10). Suppose n = d + 1, 4*r + 0*d = d + 17. What is the tens digit of (-20)\/(r - 0) + 117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96474227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*1*14 + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + 4*o**3 + 0*o**3 + 2*o**3 + o - o + (-1 + 1 - 2*o)*(3*o**2 + 3 - 3).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 3:14 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 441 (b) -4 (c) 2\/13 (d) -1\/5 (e) 1486\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjj when three letters picked without replacement from jpjzj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21255 + 12254*s - 10633 - 10622)*(-2*s - s - 3*s) to o + f*s + z*s**2 and give z.\nAnswer: -73524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1331*u**2 + 104*u + 68. What is the thousands digit of g(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1655 or -1692?\nAnswer: -1692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n + 120. Let h(x) = 117*x + 1. Let i be h(1). Let z = i + n. Is 26 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-976)\/10 + -2 + (-30)\/(-50). Is 26 a factor of (-1 + 4)*11\/(d\/(-156))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 1, i: 1, b: 1, u: 1}. What is prob of picking 1 u, 1 i, and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*d + 418, 2*d + 3*r - 309 = -95. What is the highest common divisor of d and 676?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 12:23 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*f - 57 - 11*f + 98.\nAnswer: -44*f + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010 + -1001000?\nAnswer: -1110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1988\/(-639)*135\/(-50). Factor -6\/5*f**4 + 0 + 54\/5*f + q*f**3 - 18*f**2.\nAnswer: -6*f*(f - 3)**2*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 + 136 = -53*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -138798\nAnswer: 416394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 203\/4 + -51. Let s be (12\/8)\/(3 + 0). Which is the nearest to 0? (a) d (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -14*t + 21. Let m(n) = 5*n - 7. Suppose 34 = 16*h - 238. Determine h*m(k) + 6*j(k).\nAnswer: k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -429.6 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(99) + -1 + sqrt(99) + 1.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -49 + 252. Let w = -1 - f. Solve -p + 5*r = -5, -3*p - 4*r = p + w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*z + 3339 = 244*z for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1577*u - 37836. What is y(-24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 2 in increasing order.\nAnswer: -3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102521 is divided by 855?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 5*d - 9, 0 = -4*d + 41 - 33 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/p**(-12\/13))\/p))\/(p\/(p\/(p*p**(-16))*p)) assuming p is positive.\nAnswer: p**(209\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -11*t**2 - t + 2. What is c(-3)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2 - (-3 - -7)) + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l**3 - l. Let c be p(1). Let h = -6 - c. Suppose -20 = 5*x, -7*s = -h*s + 4*x + 4. Calculate the lowest common multiple of s and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 653, 1521, 2749?\nAnswer: 4337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2765590 divided by 1594?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 8*y**2 + y - 2. Let u be (-4)\/30 + (-34)\/(-30). Let b(g) = -g**2 + g + 1. Let h(k) = u*f(k) + 2*b(k). What is the tens digit of h(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from yvsyu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -70*b**3 - 1191*b**2 + 4*b - 6. Give m(-17).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 148\/(-40) + (-5 - 47\/(-10)). What is the closest to -1 in j, -3, -33, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -2\/3*h**3 + 20*h**2 - 48 - 174*h. Find the first derivative of y(a) wrt a.\nAnswer: -4*a + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/3 - 356*f**2\/3 + 15842*f\/3.\nAnswer: 2*f*(f - 89)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 451847.1l in millilitres?\nAnswer: 451847100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + a = 4155 - 558, a + 3593 = 5*s. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c - 14. Let r be v(10). Let q = 233 + r. Let t be 0 + 19 - 2*-1. Calculate the highest common divisor of t and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 + 4. Suppose 29 - 56 = -5*v + 2*o, 5 = -5*o. Let p(y) be the second derivative of -y**4\/2 - 5*y**2\/2 - y. What is v*d(h) + 4*p(h)?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 + 20*x**2 - 12*x**2 + 31*x**2.\nAnswer: 2*x**3 + 39*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 - 79. Suppose 3*l - 12 = 6. Solve -l = y - h*s, -2*s - 6 = -0*y - 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4949 and 98.\nAnswer: 9898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 81745560?\nAnswer: 81745560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -31, -4.\nAnswer: -31, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -9.07. Suppose 0 = h - 2*o + 1, 5*h + 178 = -4*o + 145. Which is the nearest to r? (a) -0.3 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 5*w - 39 = 0. Let r(g) be the first derivative of 2\/9*g**w + 0*g + 1\/3*g**2 - 6. Factor r(j).\nAnswer: 2*j*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1049 and 246.\nAnswer: 258054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3 + 7 + 17*r.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 4, z: 1, c: 1, t: 4}. What is prob of picking 4 s?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*i = 3*f - 49, -3*f = -4*i - 12. Suppose f = -5*s + 28. Suppose 0 = s*r - 2*k - 30, -4*r + 2*k - 26 = -7*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99a3 (base 13) to base 4.\nAnswer: 11032303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109370 * 29.\nAnswer: -3171730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*p + 4. Suppose d - 3*w = -1, -2*d - 6*w + 9 = -w. Suppose -c + 3 = d*m, -5*m + 6 + 1 = 3*c. Put p, -2, m in ascending order.\nAnswer: -2, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 564 and 3008?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23756 + -712753\/30. What is the common denominator of b and 34\/129?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11496, 2, 3 in decreasing order.\nAnswer: 11496, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 2)*(0 + 0 + 2*q) + (0*q + 0*q - q)*(3 + 0 - 2) + 96*q - 32*q + 308*q in the form f + c*q and give c.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) - 1\/3. Suppose -4 = -2*i + 2*m, 2*i = -j*m + m + 4. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from edwwcecccpepepee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 = 3*s. Suppose -5*x - s*w + 65 = 0, 4*w - 28 = -5*x + 27. Let a = x + 5. Calculate the highest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(-21\/4)*l)*l*l)\/l)\/(l\/(l\/l**26)) assuming l is positive.\nAnswer: l**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(4\/(-3))*-1. Suppose -s*j = -2*j + 4*l - 37, -5*j + 4*l + 137 = 0. Let a = j - 15. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872 a factor of 256428432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*k**5\/3 - 34*k**4\/3 - 124*k**3\/3 + 304*k**2\/3 - 60*k + 6 = 0. Calculate k.\nAnswer: -3, 1\/8, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23.4? (a) -2 (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2136540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 75*p + 411. Let b be w(6). Put b, -0.4, -2.98, 2 in ascending order.\nAnswer: b, -2.98, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 0)*(-b - 2*b + 6*b)*(-273*b - 2004 + 2004).\nAnswer: -1638*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -9. Suppose -4 = -5*m + 11. Suppose -m*u - n = 2, -4*u - 2*n - 8 = -2*u. Solve -5 = -4*t - 5*s, -u - q = -2*s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 16 + 152 - 46.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/5 (b) 0.5 (c) -3\/2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10838512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 21 - 0. Suppose -5*p + 4 = 3*u, -7*u - k*p - 12 = -10*u. Suppose -3*f - 5*s = f - 18, -2 = 2*f - u*s. Solve -b = -2*b + f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -773?\nAnswer: -776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -511 + 16865\/33. Suppose -27*r = -34*r - 7. Which is greater: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10556?\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 33. Suppose 4 = 2*q, -g + p = 2*q - 0*q. Let i be 2\/7 - (-12)\/g. What is the highest common divisor of i and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15 and 125\/446484?\nAnswer: 446484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 2. Let w be y(7). Which is the second smallest value? (a) w (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 14*d**2 + 11*d + 21. Let o be a(-13). Suppose -o*l + 852 = -44*l. Is l a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81861 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: Divide 9 by 165141.\nAnswer: 1\/18349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049463?\nAnswer: 3, 47, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146183 is divided by 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -277488.54+-1350.3\nAnswer: -278838.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12888165, -25776329, -38664493, -51552657, -64440821, -77328985?\n\"Answer: -12888164*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 6:47 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 106301981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 14*h**2 + 14*h - 11. Let s be r(-15). Suppose -s*x - 3*p = -15, -31 + 6 = -5*p. Solve -3*b = 3*u + 17 + 4, x = -4*u + b - 18 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68 or 0.31?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 39*k**3 - 4*k**2 + 4*k + 4. Let n(x) = x**3 + x**2 - x - 1. Let d(v) = 2*v**3 - 27*v**2 + 42*v - 378. Let f be d(13). Determine f*r(g) - 4*n(g).\nAnswer: -43*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610*x**2 + 604*x**2 - 1935 + 3876 - 1941.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 7*u)*(u - 2*u - u) + 4*u**2 + u**2 + 0*u**2.\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 78043264 times 0.05\nAnswer: 3902163.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c*f**3 - 156*c*f**2 + 18373*c - f**3 + f**2 - 3973892 wrt c.\nAnswer: -2*f**3 - 156*f**2 + 18373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 71*h - 2. Suppose 5*o + 24 + 0 = -4*y, -3*o = -y + 11. Give n(y).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 2490 = -642. Suppose 4*f + 4*k = 176, 5*f - 3*k = b + 74. What is the highest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o. Let d(q) = -2*q**2 + 1. Let b(k) = -1. Suppose 4 - 10 = -3*x. Let f be 1\/((-4)\/10)*x. Let t(w) = f*d(w) - 5*b(w). What is t(m(h))?\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.6 (b) -0.3 (c) 1\/2 (d) -1272 (e) 2 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33, 58, 101, 162?\n\"Answer: 9*k**2 - 2*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**3 + 5*m**2 - 3*m + 3. Let v(w) be the second derivative of 3*w**5\/10 - w**4\/3 + w**3\/3 - w**2 - 3*w. Determine 2*g(f) + 3*v(f).\nAnswer: 4*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-5))\/(162\/405)*(-42)\/(-2604).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 12 = -2*k. Suppose 281 + 27 = k*g. List the prime factors of g.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1054 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -5, -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in -310, 0.4, -2\/179, -4?\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*b**4 - 20*b**3 - 158*b**2 - 11 wrt b?\nAnswer: 360*b - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 14*n**2 + n + 5. Suppose -11*v + 39 = 3*r - 14, -r = -2*v - 12. Calculate f(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(2*sqrt(7)) - (-4*2*sqrt(60) - sqrt(60)))\/(sqrt(192)*5*1).\nAnswer: 19*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*s*y**4 + 2*s*y - 4*s + 14*y**4 + 37*y**2 wrt y.\nAnswer: 192*s*y + 336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 71961723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/5 + (-18)\/(-5). Is 0 - r\/((-9)\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5619430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j = -28*j - 564. What is the highest common factor of 1175 and j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 7.5.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -235040 + 4?\nAnswer: -235033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*w + 132*w + 118*w)*(1 + 2 + 2 + 2 - 2 + 1 + 0 - 1 + 2 + (-1 - 1 + 4)*(-2 - 2 + 6))*(-4*w**4 - w**4 + 2*w**4).\nAnswer: -5610*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -301 - -426. Suppose 4*g - t = 59. What is the remainder when g is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2\/(y**9\/y*y)*(y*(y*y**(1\/23)*y*y)\/y*y*y)\/(y**29*y*y) assuming y is positive.\nAnswer: y**(-758\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96147.8 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49469951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 892*t**3 - 2648*t**2 - 140*t. Let l(m) = 297*m**3 - 883*m**2 - 42*m. Let j(b) = 10*l(b) - 3*x(b). What is the third derivative of j(h) wrt h?\nAnswer: 1764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 30063*g + 210383. Give c(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 24. Let y = -4259 + 4259. Put -4, 3, u, y in decreasing order.\nAnswer: 3, y, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 206*n - 829. Let h be r(4). Let y = 8 - 23\/3. Which is the fourth smallest value? (a) h (b) y (c) -3 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 750 = -774. Sort 4, 17, s.\nAnswer: s, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4 - 2. Let y = 2 - m. Let 3*g - 3*g**2 - y*g + 2*g + 2*g**2 = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c + 25 = 0, -5*c = -5*o. Suppose 1 = 5*q - 3*d - 3, -4*q - d = -10. Suppose o*s = q*s. Which is greater: 2\/17 or s?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-580)\/(-58)*(-12)\/(-330).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*65\/6435*-36?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 93079 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + t - 7, 4*t - 10 = 4*h - 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeo when three letters picked without replacement from {w: 2, e: 4, o: 2, s: 5}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/2)\/(-4 + 7) + 34\/51?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -207 - -213. Let f be (-4)\/(-5)*(-25)\/(-5). Suppose 4*m = f*u - 1412, u - o*u + 1741 = 3*m. Round u to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1261980738 divided by -41?\nAnswer: 30780018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0115896 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*a = 512, -a - 101 = 19*t - 20*t. What is the first derivative of -9 - 13 + 39 + t*b wrt b?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 664*l**3 + 779*l**2 - 18*l. Let i(a) = -3320*a**3 - 3896*a**2 + 96*a. Let v(y) = 3*i(y) + 16*p(y). Find the third derivative of v(j) wrt j.\nAnswer: 3984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14, -6, -7, 5, 3 in decreasing order.\nAnswer: 14, 5, 4, 3, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -157491683623 and -20.\nAnswer: -157491683643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfyi when four letters picked without replacement from yymyhyyfyyyhyyihiiy.\nAnswer: 11\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 5. Suppose -2*c + a = -4. Solve 0 = 2*m - m + c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 6*u)*(-u + u + 2*u) + 0*u**2 - 10*u**2 + 2*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*t - 21, t + 2*l + 3*l = -23. Let f = 2 - -1. Solve -f*x - t*x - 5 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byytbybbbbbyb. What is prob of picking 1 b, 1 t, and 2 y?\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -2067?\nAnswer: -2070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -626, -1274, -2016, -2756?\nAnswer: -3398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h. Let r(l) = -3*l**2 - 5*l. Let w(s) = s. Let x(f) = r(f) + 5*w(f). Give x(y(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3409 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121 (base 3) to base 16.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 7:33 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 13 + 0 + h to y*h + a and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2263, 4541, 6819, 9097?\nAnswer: 11375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 103 (b) -3 (c) -2\/17 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l - 5. Let h be i(7). Let j = 40 - h. Is 11 a factor of (-290)\/(-9) + 4\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -8.650407?\nAnswer: 9.050407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -695\/3, -15, -2\/11, 2\/11, 8\/119?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33122, 1\/7, -2, 3\/7, -2\/9.\nAnswer: -2, -2\/9, 1\/7, 3\/7, 33122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - 38. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 863018 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, 4, -974, -5, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 - 2574*f**2 + 20698176*f\/5 + 20711048\/5.\nAnswer: 2*(f - 3218)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.2, -3\/40, -3, -5, -0.048, -0.6?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1689 - b + 1689 + 463*b**2)*(0 + 0 - 2).\nAnswer: -926*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 85233453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69944105 and 2919.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 7*r - 2. Let y(x) = x**2 + 6*x + 1. Let z(q) = 2*g(q) + 3*y(q). Let j be z(-6). Solve -4*d + j = -1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 6*v = 94000000. Round v to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = u - 162, -6*u + 10*u + 144 = 4*z. Calculate the highest common divisor of z and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 + 9 = 0. Let l = z + -8. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 6647216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -17223\nAnswer: 10333.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15108 - -45326\/3. Let a = -0.1 - 0.1. Let u = -3.2 + -0.8. What is the closest to a in g, 3, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2550265 divided by 1.\nAnswer: 2550265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q - 94. Let u be j(-10). Calculate the greatest common factor of 12 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**4\/12 + 14*b**2. Let s(n) be the second derivative of n + 0*n**2 + 0 + 1\/3*n**3. Determine p(s(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d = -7*d + 5*d + 144 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 + -c7?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 5, 27, -5, -2 in decreasing order.\nAnswer: 27, 5, -2, -5, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14430 divided by 30?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2640579?\nAnswer: 3, 37, 23789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -108 + 70 - (-57 - 2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -27*h**2 - 1568*h - 112. Let f be v(-58). Solve -3*u - 2*w = -u - 2, f*u + 36 = 4*w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18102, 18121, 18142, 18165, 18190?\nAnswer: 18217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - (-10980)\/4830*-21.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-32 - -10 - -15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(-483)\/(-322)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19105983 and 104.\nAnswer: 152847864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280321535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158550324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 1:08 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/15 of a decade?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21028534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 19) + (7 + (6 - 0) - 8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1324, -3.659, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 2080.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29263?\nAnswer: 13, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 - t**2 + 2*t**2 + 109 - 109 - t + t**3. Calculate s(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 3*m + 1. Let h be o(-2). Suppose 0 = -h*k + 6*k - 222. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(242) - (-2 + sqrt(242)))*-4 - ((-1*sqrt(242) - sqrt(242) - sqrt(242)) + -3))*-2)**2.\nAnswer: -1320*sqrt(2) + 8809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -7 + 5 - (-35 + -2 - -168)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(77)\/(sqrt(99) - sqrt(99)*-1))**2 + (0 + (6*sqrt(1575))\/sqrt(9))**2.\nAnswer: 226835\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 661679*k**2 + 289285*k?\nAnswer: 1323358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*x**3 - 180*x - 9*x**3 - 142*x + 4*x**5 wrt x.\nAnswer: 80*x**3 - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v + 517 - 155 + 7*v**3 - 167 - 194.\nAnswer: 7*v**3 - 22*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d**3 + 2*d**2 - 2. Let p be 6\/3*(-2)\/4. Let r be z(p). Let m be (r\/(-20))\/((-2)\/20). Solve -m*x - 5 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 5. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 7, 19, 37, 61, 91, 127?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 828433.1 centuries?\nAnswer: 8284331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -101*r - 264. List the prime factors of u(-7).\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 38*g - 423 = 0. Suppose 0*h - h = 0. Let d be 7 + -5 - (h + 0). Calculate the highest common factor of g and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3\/2, -3, 3\/4, -1071\/5, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-1)*6\/4. Let r be (-80)\/l + 4\/(-6). Let j = -5 - r. Let h(c) = 5*c**2 + c. Give h(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*((7 + -9)\/(-4))\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 i, and 2 v when four letters picked without replacement from vvghhiigvhviihhvvvi?\nAnswer: 175\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*((-399)\/(-63) + -6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10046 + 8594.\nAnswer: 18640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -17*z**7\/210 - 13*z**6\/60 + 743*z**5\/30 - 1134*z**2. What is the third derivative of u(g) wrt g?\nAnswer: -408*g - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.46 and 0.174147.\nAnswer: -1.64743062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 10) to base 9\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 1626 - 1561 = z, 6*z + 154 = 10*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352) + sqrt(352) + (sqrt(352) - (-2*sqrt(352) - sqrt(352))))*-3 - sqrt(352))\/((-1*sqrt(128) - sqrt(128))*-5).\nAnswer: -19*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 337*g**3 - 1702*g - 2121. Find the first derivative of r(f) wrt f.\nAnswer: 2022*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 17 = -o. Suppose -c + b + 78 = -o*b, -2*b - 214 = -3*c. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1 (c) 47 (d) -3 (e) 1\/1493\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**4\/4 - 7*j**3 - 1551*j**2 + 22400*j + 2560000 = 0?\nAnswer: -50, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g = 27123 - 123639. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 329 + -190. Calculate the remainder when p is divided by 105\/(8 - 5) + 1.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-8 - 3 - -66).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 51215 - 61030 = 0. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 + 61*k\/2 + 3721\/4.\nAnswer: (k + 61)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 23702?\nAnswer: -25\/23702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15587 - -1104?\nAnswer: -14483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19\/23 - -331\/345. Let p(b) = -b. Let a be p(3). Put 8\/5, a, r in increasing order.\nAnswer: a, r, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -0.1, 36\/61, 0.3 in decreasing order.\nAnswer: 2, 1, 36\/61, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(2\/7)*v)**(-48)*v**0*v**(2\/9)*v)**(-1))**(-44) assuming v is positive.\nAnswer: v**(-224708\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -107330 rounded to the nearest 1000?\nAnswer: -107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 5*s + 3. Calculate the remainder when c(-9) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4906*h**6 + 4899*h**2.\nAnswer: -588720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/14 - (153\/(-21) + 4). Suppose 0 = -2*b - y - h, -3*b - 2*b - 7 = 2*y. List the prime factors of ((-20)\/15)\/(b\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 9*f - 8. Let c be b(8). Suppose -4*o + x + x = -390, c = x + 5. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 97116190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or -183?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + 3*a**3 - 2*a**2 + 2*a**3 - 5*a**3 + a**3 + (3 - 2 - 3)*(2*a**3 + 0*a**3 + 0*a**3) + a**3 + a**3 - 4*a**3 - 14*a**3 - 6*a**3 - 2*a**2 + 16*a**3.\nAnswer: -9*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) -5\/2 (c) -6 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 4, x: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 10*b. Let l = -1 - 9. Let k be z(l). Solve 2*h = 4*n - 2, k*n + 5 = -3*h + 4*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(-c + c + 3*c**2)*(-9*c**3 - 67*c + 67*c).\nAnswer: 54*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*v - 29*v = 31*v + 1701. Factor 53\/3*u**2 - 1\/3*u**3 - 225*u - v.\nAnswer: -(u - 27)**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 112 = -3*k, 0*k - 4*c - 54 = -k. Let v(b) = -b**2 - b + 138. Let w be v(0). Suppose w + 117 = 3*a. What is the highest common divisor of a and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 3*u + 0*u)*(-5*u**2 + 4*u**2 + 2*u**2) + 5*u**3 + 0*u**3 + u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2649 + 0.1351. Sort a, 2\/9, -7.\nAnswer: -7, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + -35. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -96*s + 382. Let c be u(4). Let l(f) = f**2 - 1. Let k be l(-1). What is the hundreds digit of (107 + k - (1 - 4)) + c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28.091 - 0.009. Let h = -26 - m. Let r = -2.09999958 + h. What is r rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (2 + 1 + 1) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -83 in -264, 2\/7, -4, 22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/((2024\/(-1341318))\/23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55623768 and 12.\nAnswer: 55623768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 126 = 2*u. Suppose 4*w + 3*w = u. Solve -10 = 4*b + w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240584 to the power of 1\/2, to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 10 - -6 - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u + 5*u + 4*u to the form f + w*u and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -86*v - 287. Let d be z(-8). Suppose 203 = g - f, -f - d = -7*g + 5*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**4\/12 - 4*d**3\/3 + 7*d**2 + 5*d. Let s be n(6). Factor s*y - 2*y**2 + 0 + 1\/2*y**3.\nAnswer: y*(y - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 286614.96us to minutes.\nAnswer: 0.004776916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**2 + 4*g + 2. Let t(r) = 8*r**2 + 5*r + 3. Let z be 120\/28 - (-2)\/(-7). What is z*t(s) - 5*m(s)?\nAnswer: -3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*q**3 + 30*q - 44*q - 15*q wrt q?\nAnswer: -102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzznzzzznbz. What is prob of sequence zbzz?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**3 - 17*j**3 + j**3)*(-2 + 2 - j) + 0*j**4 - 2*j**4 + j**4.\nAnswer: 22*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 <= 1933\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15479 (base 12) to base 2\nAnswer: 111010101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*q = 55 + 35, -q + 50 = 3*h. What are the prime factors of (-53)\/(-5) + 6\/h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9747039 - 9747039 + 2*r**2 - r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2537 + 2533. What is the third smallest value in u, -0.5, -9.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 243, 483, 713, 933, 1143, 1343, 1533?\n\"Answer: -5*j**2 + 255*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 4*b + 2. Suppose -o + 5 = -0*o. List the prime factors of k(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) -2 (c) -17\/11471 (d) 1\/3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -645 + 641. Let j(c) = 2*c - 3. Let b(y) = 1. Give g*b(t) - j(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137*k**4 + 49*k - 16*k + 160*k**4 - 328*k**4 wrt k?\nAnswer: -372*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5162, 10415, 15762, 21203, 26738?\nAnswer: 32367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/21517 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*-47\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqqqtkqtqqqqttt. Give prob of picking 2 q, 1 t, and 1 k.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + v + 47 = 0, 4*a - 1 - 31 = -4*v. Suppose 0 = 3*t + t - k + a, 4*t + 41 = -5*k. Let h be (36\/(-8))\/(2\/t). Solve 0 = -5*i - 11 - h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -13. Suppose 0 = 3*v - 3 - 6. Suppose -o*a - 4*q + 36 = -9*q, -v*a + 3*q = -30. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*n + 497 = 0, 4*q - 514 = -5*n + 425. Let j = q - -416. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 113 + -128 + 14\/1. Let l(f) = 8*f**2 + f. Let w be l(-1). Put 3, p, w, -5 in ascending order.\nAnswer: -5, p, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 2:01 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 + 167. What is the derivative of -66*n**3 - t*n**3 + 78 + 24*n**3 + 55 wrt n?\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 210 = -2*z - 0*t, 0 = -z - t + 102. Let s(g) = 20*g - 5. Calculate the remainder when z is divided by s(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 12:48 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 9*m = 12. Suppose -4*n = -s - m, -2*n = -2*s - 2*s + 8. Factor 0*f + 0 + f**3 + 7\/5*f**s - 2\/5*f**2.\nAnswer: f**2*(f + 1)*(7*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41*p - 7 + 0*p**4 + 20 + 67 + 2*p**4 + 0*p**4 wrt p?\nAnswer: 8*p**3 - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(30)\/(sqrt(48) - sqrt(3))).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(432)*-1)**2 + 6*(2*sqrt(432) + sqrt(432)).\nAnswer: 216*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15198921, 30397841, 45596761, 60795681, 75994601?\n\"Answer: 15198920*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o**5\/11 + 22871*o**4\/11 + 107972*o**3\/11 + 13148*o**2\/11 - 196336*o\/11 + 52352\/11 = 0. Calculate o.\nAnswer: -4, -2, 2\/7, 1, 3272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 12:47 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5 + 1 + 3)*-39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27.6 at most as big as -1616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 67*c - 16927010. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14136 divided by 3\nAnswer: -4712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -28923*j**2 - 2*j + 28900*j**2 + 2*j. Let p(f) = 14*f + 22. Let u(h) = -2*h - 3. Let q(v) = -6*p(v) - 44*u(v). Give q(x(o)).\nAnswer: -92*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 15*g + 9. What is q(5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -15*y**2 - 17*y - 11. Let b(o) = 7*o**2 + 8*o + 5. Let a(t) = 13*b(t) + 6*k(t). Suppose 0 = 2*f - 4*f + 4. Is a(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -82, -87, -92?\n\"Answer: -5*v - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9*m - 614. Let s be l(-67). Let o(c) = -c + 6. Calculate o(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 10*p**2 + 9*p - 4. Let d = 48 + -39. Determine o(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/7? (a) -4 (b) -1\/2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 8272?\nAnswer: 8272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**2 + 4*i**2 - 2*i + 2*i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1859 + 1859 + 2*g**3 - 5583 + 1865.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 46615, 46392, 46019, 45496, 44823, 44000, 43027?\n\"Answer: -75*b**2 + 2*b + 46688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**6\/120 - z**5\/20 + z**4\/12 - 5*z**3\/6 - 9*z**2. Calculate y(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbnx. Give prob of sequence xb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3264 (base 8) in base 7?\nAnswer: 5001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 2*r - 5*r**4 + 29*r**4 + 0*r + 0*r + (-13*r**3 + r**3 + 11*r**3)*(-3*r + 0*r + 6*r) as n*r + z + b*r**2 + o*r**3 + f*r**4 and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/9414 and -19\/1722762.\nAnswer: 1722762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -41530502 (base 7) in base 5?\nAnswer: -1344101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**4\/6 + 29*j**3\/3 + 78*j**2 - 323*j. Factor r(p).\nAnswer: 2*(p + 3)*(p + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)\/sqrt(11) - sqrt(17))*3 + sqrt(17) - sqrt(17) - sqrt(272)*4)**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48669 is divided by 403?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -152*s**3 + 5*s**2 + 50447 with respect to s.\nAnswer: -456*s**2 + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1185 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8094, 87, -14, -1, 1.\nAnswer: -8094, -14, -1, 1, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-16)\/(14 + -6)). What are the prime factors of (-118)\/y*(-16 + 9)?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 - -47. Let r be 7\/(-21) - s\/(-3)*5. Let l = 5 - r. Solve -3*y - 4*k = -0*y - l, -k = -5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5910 + 5914. What is the nearest to 0 in 1, r, 1\/6, 23?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-7))\/(16\/(-56))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + (sqrt(108) + 2 + sqrt(108) + -4)**2 + -5)*2.\nAnswer: -96*sqrt(3) + 866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/14 or -0.03602?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okoookkokkoo. What is prob of sequence oo?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 7*k**4 - 6 + (2 - 2 + 2)*(-k**4 + 3*k**4 - 3*k**4) + (-k - 2 + 2)*(k**3 - k**3 + 3*k**3).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1819, 7436, 16733, 29656, 46151?\nAnswer: 66164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -98, -3261, 0.7.\nAnswer: -3261, -98, -2\/7, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -15457*m + 7994*m - 11179*m as n*m + d and give n.\nAnswer: -18642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(576)*-5)\/((sqrt(27)\/sqrt(3)*3)\/(sqrt(300)*2)).\nAnswer: -800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.73 + -0.23. Which is the third smallest value? (a) -1 (b) 2\/11 (c) -3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 + 109*c + 3766. Determine o(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)*u*u)**38*(u**(-4\/5))**(-6\/11) assuming u is positive.\nAnswer: u**(-2066\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t + 39 = 9. Let s be t\/6 + (-1776)\/(-144). Solve 0 = -4*u - 4*m + 20, 4*u - 2*u = -3*m + s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1310 + -1308.526. Let f = 4.486 - z. What is f rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-2))\/(3\/6). Let m(a) = a**3 - 4*a**2 - 7*a + 2. Let k(v) = -v. Let i(o) = x*k(o) + m(o). Calculate the remainder when i(6) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 673 + 673 + 58*h to the form o + a*h + d*h**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*s + 72*s = 4*v + 21, 3*v = 3 - 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-80)\/(-6)*15\/(-36)*9. Let y = 423 - q. Does 44 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/(-1344))\/(12\/(-41027)). Let y be (-2786)\/(-4)*(-9)\/168. Let w = y - a. Find the common denominator of w and -97\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*n = 71*n + 75 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1352284534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*k + 17 = 0, -2*k = 2*q - 4*q + 14. Suppose -q*z - z = -12. Suppose -z*n = n - 20. Calculate the remainder when n is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.03 + -22. Round i to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -102038\/29?\nAnswer: -102038\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:22 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(-44 + 53 - 51)*(3*i + 3*i - 5*i).\nAnswer: 84*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2862 and 1944.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100122000022 (base 3) in base 9?\nAnswer: 2318008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54369802?\nAnswer: 2, 43, 149, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -56 and -1.97037.\nAnswer: -57.97037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 24*x**3 + 9*x**2 + 52*x - 66. What is the ten thousands digit of a(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2633682 + -0.2666. What is y rounded to four dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29400 < 29399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 603*r + 516*r - 1224*r + 3 - 2*r**2 + (2*r + 0*r - 3*r)*(-2*r + 2 - 2) + 3 - 3 + 2*r**2 + (8*r - 16*r - 44*r)*(-2*r - 4 + 4).\nAnswer: 106*r**2 - 105*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**3\/3 + 2*k**2 + 3*k - 108. Let x be (-20)\/25*(-6 - -1). Calculate j(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359827.\nAnswer: 13, 89, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -261, -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 63919*f - 1534655. What is g(24)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 3\/(-5))\/((-12)\/(-60)). Let o = -0.0082 - -5.7082. Put o, 0.1, 3, t in descending order.\nAnswer: o, 3, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 76, -4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -29. Let a(l) = -7*l**2 + l - 1. Let n be a(1). Let b be (-22)\/(-126) + 2\/n. Sort m, 3, b in ascending order.\nAnswer: m, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405*t = -394 + 17809. Put -13, 5, t, 1, 3 in increasing order.\nAnswer: -13, 1, 3, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21811903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16586 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 + 3*r**2 + 4*r**2 + 4*r. Let d(u) = 16*u**2 + 20*u. Let k = -7265 + 7254. Let i(q) = k*x(q) + 2*d(q). Factor i(n).\nAnswer: -n*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5040*i - 78572 = 1261*i - 257*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 11*h**3 - 14*h**3 - h**2.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 19554*c - 273615. What is g(-14)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j**2 - 9*j**4 - 2*j**4 + 2*j**2 - 4*j**2 wrt j?\nAnswer: -264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -51. Let o be f + (5 - 10) - 2*-199. Suppose -2*r - d + 135 = -r, 2*d = 3*r - o. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1367*y**2 - 1377*y**2 + 5549*y**2 - 1394*y**2 - 1385*y**2.\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(3\/7))\/h)\/(h\/h**(-6\/5)))\/(h**(-3\/2)\/h**(1\/9)))\/((h**(3\/4)*h*h\/h**(2\/13))\/(h\/(((h**(2\/7)\/h)\/h*h*h)\/h))**(-13\/2)) assuming h is positive.\nAnswer: h**(-241711\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z - 8 + 31 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426387 - 3*g**2 + 6*g**2 + 2262*g - 5*g**2 + 4*g**2 - 5*g**2 = 0. What is g?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820827511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/4 - 9*r**3\/4 + r**2 + 3*r.\nAnswer: r*(r - 2)**2*(r + 1)*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6*d - 18 = 0. Suppose 2*b + 9 = 5*c, -4*c = -b - d - 3. Suppose 3*u + 0*u = -g + 417, 5*u = -c*g + 695. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from {c: 6, h: 3, q: 4}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 71\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2304 divided by 4.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 770.7 and -22.\nAnswer: 748.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2007 and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212066989?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 29*a + 17*a - 2*a.\nAnswer: 44*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15360 - -15361. Suppose -3*u = -2*u - 3. Which is the smallest value? (a) u (b) -0.39 (c) -4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5617 and 274.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 42, 78, 116, 156, 198?\n\"Answer: k**2 + 33*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10211122000 (base 3) to base 8.\nAnswer: 223432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46719 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-8\/9)\/(n*(n\/(n*n**(-7)*n))\/n))\/(n**(-6\/5)*n\/n**(-33)))**(-1\/4) assuming n is positive.\nAnswer: n**(893\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3281.701285 rounded to zero dps?\nAnswer: -3282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 9:19 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 8*p + 9. Let x be s(-7). Suppose 4*r + 0 + 2 = x*d, -3*d + 3*r = -18. Calculate the remainder when 19 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 163 + 413. Suppose -4*j = -4*f + r, 3*f + 2*j = -j + 108. Suppose -f = -5*g + g. What is the remainder when 34 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c - c + 45 + 774. What is the lowest common multiple of 1521 and c?\nAnswer: 10647","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172700 divided by -500\nAnswer: 1727\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a centimeter in micrometers?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15365 divided by -5.\nAnswer: 3073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 = 0, -2*i + 17 - 11 = 6*m. Solve -12*y - 18*y - 60 = m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 148, 173, 268, 469, 812, 1333, 2068?\n\"Answer: 6*l**3 - l**2 - 14*l + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2556291, 5112583, 7668875, 10225167, 12781459?\n\"Answer: 2556292*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 0*f**2 - 7\/4*f**4 + 3\/5*f**5 + 0*f**3 + 0 - 7*f. Find the third derivative of t(p) wrt p.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -5, -20 in decreasing order.\nAnswer: 2, -2, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 167*h - 103 + 75)*((-2*h + 0 + 0)*(-h**2 - h**2 + h**2) - 1 + 2*h**3 + 1).\nAnswer: 668*h**4 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 13 - o - 35. Let m be u(-23). Let l(h) = -17199998*h + 4. Let x be l(m). What is x rounded to the nearest one million?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 55*o - 390. What is x(-13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-24)\/(i**(-2))**(-19\/4))**17 assuming i is positive.\nAnswer: i**(-1139\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from {d: 5, i: 1, w: 3, h: 1, a: 8, s: 2}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.827 and -921.\nAnswer: -925.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604593312 to the power of 1\/3, to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 61.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5337 + 5335. Let a be (-1 + 3)\/((-2)\/4). Sort 1\/11, k, a in ascending order.\nAnswer: a, k, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-92*a**2 + 9*a**2 - 65*a**2)*(0 - a + 0) to m + d*a**3 + b*a + y*a**2 and give d.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11785*b**4 + 42671*b wrt b.\nAnswer: 141420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 4:09 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2*r**(-17)*r\/(r\/(r*r**(-13)))*(r**(-11\/3)*r)\/r assuming r is positive.\nAnswer: r**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, l: 11, x: 5, d: 2}. What is prob of sequence xx?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -836, 4, 31, 1\/5, -0.06, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-2))\/((-6)\/(-18)). Suppose 24 = 4*m - 2*l, -4*m + 9*m = w*l + 31. Solve z + 14 = -m*g, -3*g + 2*z = 2 - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 12*p**2 - 30*p + 27. Calculate c(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**6\/60 - 2*t**2. Let z(p) = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 764143.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5133968 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h**2 + 26*h - 15. Let l(t) = -t**2 + 5*t - 3. What is -11*l(v) + 2*m(v)?\nAnswer: -v**2 - 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 33?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 8 - 103)*(-13 - 0). Let r = -1392 + g. Let m be -1 - 2\/((-30)\/13). What is the smallest value in r, 0.2, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five quarters of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 414 and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4819 times -2.33?\nAnswer: -11228.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 8403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52652 + -18934. Is 46 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 69210?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 22*o**2 - o - 8. Let a(z) = -22*z**2 + 3*z + 7. Give 6*a(d) + 5*s(d).\nAnswer: -22*d**2 + 13*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {y: 5, p: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2553*k + 696*k + 864*k to the form s + y*k and give y.\nAnswer: -993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -9. What is the tens digit of 34*(-3)\/(-6) - z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5741\/1164 - 3\/194. What is the common denominator of q and 11\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 746824, 746806, 746788, 746770?\n\"Answer: -18*q + 746842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**5\/12 + 19*n**4\/24 + 11*n**3\/6 + 5*n**2. Is 18 a factor of y(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 21*d**2 - 58*d - 13. What is a(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 + 341*t**2 + 333*t**2 - 675*t**2.\nAnswer: -t**2 - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:34 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 + 83. What is the remainder when d is divided by (6 - 3)*(-1)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 47587, -0.28, -4, -2?\nAnswer: 47587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 - 10 - (-2 + 7*-7). Suppose -q*m - 184 = -54*m. Let k be m\/(-22) + (-10)\/(-55) + 206. Round k to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 - 19 - 5*n**2 + 40*n + 3 + 3 - 18.\nAnswer: -5*(n - 7)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + i + 7, -2*k + 3*k + i + 1 = 0. Solve -4*u - 4*f = -0*f - 12, f - 7 = -k*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 6 + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Suppose 5*t - 24 = -w*q - 2*q, 3*q = -4*t + 15. What is the units digit of 1\/(t\/(-4) + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -257 - -787. Let j = o + -573.8. Round j to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42321 - -20?\nAnswer: 42341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1211695670 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 18 = h - 3*f, -4*f - 4 = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 316, 2, -4, -1, -55 in descending order.\nAnswer: 316, 2, -1, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-2\/13)\/l*(l\/l**(-2))\/l assuming l is positive.\nAnswer: l**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12759, 25504, 38265, 51042, 63835, 76644?\nAnswer: 89469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -1 - s + 1\/2*s**2. Suppose -3*q = -2*q. Determine l(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 7:34 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45904.7mm to micrometers.\nAnswer: 45904700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 168.008 + -168. Round r to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6\/25777 + -1830035\/567094. Calculate the common denominator of 2\/((-472)\/(-370)) + -2 and d.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66097517?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37.8 - -10.2. Is 0 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64.2*-0.021\nAnswer: 1.3482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12887 is divided by 2143?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t - 22*t + t = -18*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 15 - 18 = -2*q, -15 = 3*q + 5*b. Which is smaller: q or 907?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -0.144?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/4 - r**2\/2 + 19*r\/4 + 5.\nAnswer: -(r - 4)*(r + 1)*(r + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12, -18, -26, -36?\n\"Answer: -x**2 - 3*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82883 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 12. Let v(q) = -2*q + 25. Let z(x) = -7*k(x) + 4*v(x). Let h be z(5). What is the greatest common factor of 121 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 6:11 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b + 2*b)*(2 - 2 + 1) + 3*b - b - 5*b + 3*b - 9*b - 14*b.\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, 1\/504 in decreasing order.\nAnswer: 1, 1\/504, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 874 - 867. Let d(m) be the second derivative of m**5\/20 - m**4\/2 - 7*m**3\/6 - 2*m**2 - 4*m. Calculate d(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, -1, 6\/5, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 3, -1, 4, -2.\nAnswer: -22, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 71*z - 495. Let q be a(7). Solve b - 9 = -q*y - 11, 4*b = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 13*p**2 + p + 4. Let q be j(-5). Calculate the greatest common factor of 36 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-50)*(9\/(-14))\/(6\/7)?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 154.1, -1\/10, 0.4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 36. Let p be m(-17). Sort p, -5, 0, -4.\nAnswer: -5, -4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(-2 - 2 + 2)*(2 + 4*t - 2) as o + y*t and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -748*f + 2 - 7*f**3 + 2*f**3 - 744*f + 48*f**2 + 191*f**2 + 1490*f in the form j + a*f**3 + q*f + x*f**2 and give x.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71409*i**3 - 191139*i**2 wrt i?\nAnswer: 428454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*k + 2814 = -186*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -26 - 9 - 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117908 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 9*w**2 - 12*w - 8. Let b be g(-10). Let o = 5 + -5. Let c = b + o. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.19 times -0.5?\nAnswer: 13.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*m + 20. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8115580 and 8973?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -529 (b) 0.1 (c) -2.9 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -10*a**3 - 5*a**2 + 20*a + 52. Let j be p(-2). Suppose 3*r + 21 = -4*h + 231, -5*h = -3*r - 249. Let t = j - h. Solve 4*f - t = -5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + (-5 + -3*sqrt(38)\/sqrt(2))**2 - (-6*(sqrt(19) + 4 - sqrt(19))**2 + (sqrt(38)\/sqrt(2))**2*-1)).\nAnswer: 30*sqrt(19) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 14 = -5*b, -2*b + 7 = 4*z + 27 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/19276643 and -58\/5?\nAnswer: 96383215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 17. Let p(o) = 4*o - 2. Let r be p(1). Sort r, 7, x in ascending order.\nAnswer: r, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/1433 < 122.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (185\/(-30) - -10) + 2\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*n + 98*n + 11*n**3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**7\/x)\/x*x)*x**(-9))\/((x**9*x)\/x**6) assuming x is positive.\nAnswer: x**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19569 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1724 in 0.4, -3, -16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.148 + -0.148. Which is the smallest value? (a) h (b) 0.3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39523909 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -1) + (-2 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4081194 a multiple of 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -22*m - 104. Let n be w(-6). Solve q - 2*q = -3*l - 16, 4*q = 3*l + n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 1205 - 88 - 300 = 0. Solve -i*d + 10 = -167*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 - -2.6. Let a = 1.8 - 2.3. What is the nearest to y in 3, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 9. Let h be u(-7). Let l = h + 0. Suppose 4*f - 4*x - x = 145, l*f + 5*x - 35 = 0. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 86*q + 2087. Determine g(47).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - i - 390 = 0, -2*i + 246 = 3*y + 25. List the prime factors of y.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (121877\/(-127176))\/((-4)\/576).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 p, and 1 m when four letters picked without replacement from {z: 1, u: 1, v: 1, m: 1, p: 2, h: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/((-2250)\/144)*5\/(-6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20055579 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-18)*(-16)\/24*3. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15695 and 7310.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24726 and 1585.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 6*q - 7*q. Let m(a) = 7*a + 12*a - 5*a - 12*a. Calculate t(m(v)).\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17140 (base 9) to base 10\nAnswer: -11781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 4*a + 1 = 23*o, o - 1 = -a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 10*s**2 + 10*s + 12. Let k be z(-9). Suppose k*v - 12 = -0*v. Solve v*n - 10 = 5*n + 3*w, -4*n - 4*w = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 762, 763, 764, 765?\n\"Answer: c + 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.38936*245.\nAnswer: -585.3932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 12, 4*k = 3*k + 4*v + 19. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/((-798)\/(-1197))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*g - 0. Let j(i) = -3 + 3 + 556*i - 554*i - 16. Calculate the lowest common multiple of j(g) and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2213 (base 4) to base 5\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/60*-4)\/(2\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3 - 5 + 1 + 2 + (3 + 0 - 2)*(-4 + 2 + 4))*(0*y + 3*y**5 + 0*y).\nAnswer: -6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64528 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163 - 16 - (-190 + 266).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2245*t - 568*t - 564*t - 3*t**2 - 568*t - 545*t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + (sqrt(104)\/sqrt(2))\/sqrt(4) + sqrt(13) + 0)**2.\nAnswer: -16*sqrt(13) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/1249 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6812001.\nAnswer: 3, 7, 108127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*g**2 + 1)*(-2*g**3 + g - g) - g**5 + g**5 - 2*g**5 - g**2 + g**2 + g**5 - g**5 + 2*g**5 + 0*g**5 - 14*g + 0*g**4 - 4*g**4 + 20*g + 2*g**5.\nAnswer: 6*g**5 - 4*g**4 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 3*r - 3*r)*(r**2 + r**2 + 0*r**2) + 3*r**4 + 3*r**4 + 0*r**4 + 0 + 0 + 3*r**4 + (8*r**2 + 0*r**2 - 5*r**2)*(0*r**2 - r**2 - 2*r**2).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 - 5*i**2 - 5. Suppose 23*w - 1 - 45 = 0. Let s(f) = 2*f**3 + 3*f**w - 3*f**3 + 3*f**3 + 10 - 7. Determine 3*o(u) + 5*s(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -31*u + 4. Let j be l(0). Sort -1, -3, j in ascending order.\nAnswer: -3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 1623396*r - 19480464.\nAnswer: -2*(r - 811686)*(r - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2\/11 + (-144)\/66).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**2 - 4720*q - 608925 = 0. Calculate q.\nAnswer: -115, 1059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 813*(16\/3 + -4). Suppose 47*w - l = 43*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.26 + 21. Let d = 0.34 - p. Let x = 20 + -20. What is the third biggest value in -3, d, x, -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -91, -89, -87, -85, -83?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 12:00 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9016 times 5\nAnswer: 45080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(3*(5*(sqrt(2736) + -1 + sqrt(2736)) + sqrt(2736) + 1*sqrt(2736) + -1 + 0))**2.\nAnswer: -70923600 + 311040*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00091420965 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 8*q**2 - 7*q + 5. Let w be x(7). Suppose w*s = 6*s - 9. Calculate the smallest common multiple of 8 and 3 + s\/(3 - 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4807, 19997, 45321, 80779?\nAnswer: 126371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y\/(y*y\/(y\/(y*y**0))))\/y))\/y)**(25\/3))**(-17)*y**(-2\/13)*y*y**6*(y\/(y\/(y**(3\/2)\/y*y))*y)\/(y\/y**(-5\/3)) assuming y is positive.\nAnswer: y**(-7193\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 - 17*n - 16. List the prime factors of v(8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9104.3 times 0.656?\nAnswer: 5972.4208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-4)\/(20\/15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -72.13 (b) 3 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 204*w**5 + 6*w**3 - 3*w**2 + 2*w - 12. Let m(k) = k**5 - k**3 + k**2 - k + 2. Let v(i) = c(i) + 6*m(i). Find the third derivative of v(o) wrt o.\nAnswer: 12600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 4*l**2 + 5*l - 10. Let k be m(5). Calculate the greatest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1075*z + 87*z + 1366*z + 2619*z + 412*z + 3*z + z - 5*z + (-1 - 3 + 2)*(0 + 0 - z) + 0 + 0 - 2*z.\nAnswer: 5558*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -334 - -1?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 - (-3 - -5 - 1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*x**3 + x**3 + 2*x**2 + x - 2 - 2*x**3.\nAnswer: -(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 21 = -11. Let n = c - 2. Let k(f) = f**2 - 6*f + 1. Calculate k(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1 - 2*g**2 + 2 + 0*g + g + 0*g**2. Let w(h) be the second derivative of -h**5\/20 + h**3\/6 - 8*h. Let d(i) = -t(i) + w(i). What is d(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/3)\/(3\/45). Solve 0 = 4*z, 2*j + q = z - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38152185 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8288, 1\/10, -10845 in decreasing order.\nAnswer: 8288, 1\/10, -10845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 61, -7, 0?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 8b062?\nAnswer: -8b059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + -2*1*sqrt(363) - (-3 + 1 + sqrt(363) + 5)).\nAnswer: -33*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - 6*k**3 + 3*k**3)*((1 - 3 + 4)*(k + 0 + 0) - 2*k + 3 - 3 + (2 + 1 - 1)*(-4*k + 4*k + k) - 3 + k + 3)*(k + 2*k + 0*k).\nAnswer: -36*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, 5, -8120, -3 in decreasing order.\nAnswer: 5, -3, -4, -7, -8120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 6729512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2 (b) 4\/5 (c) 1\/45 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 1 + 12*j - 6 to the form d*j + c and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - 98. Let h = 28 + y. Suppose h = 3*f, 0*f = -5*d + 4*f + 175. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-3)*3\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04 and 326.0904588.\nAnswer: 326.0504588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -19 - 25 - (2 + (-11 - -2))) + 3.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 10*f**3 - 2 - f**2 - 2*f**3 - 1. Let c(u) = -9*u**3 + u**2 + 4. Let m(y) = 6*b(y) + 5*c(y). What is the smallest common multiple of m(2) and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 303932760 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*z - 89*z - 9 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, -46937, -6, 0 in decreasing order.\nAnswer: 10, 1, 0, -6, -46937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 1. Let h(t) = -2*t - 8. Let v(g) = h(g) - 3*x(g). Let k be v(3). Let a = k + 9. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i - 324 - 455 + 10*i + 621. Calculate z(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 7. Suppose 1 + 2 = w*x. What is the first derivative of 1 + 0 + 2*z**3 + x + z**3 wrt z?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/70)\/(6018\/(-170) + 11)?\nAnswer: -3\/122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0*g**7 + 0*g**4 + 0 + 0*g**6 - 3\/112*g**8 + 0*g - 29\/60*g**5 + 0*g**3 - 26*g**2. Find the third derivative of q(i) wrt i.\nAnswer: -540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*w**2 - 1231854*w - 19585028?\nAnswer: 6*w - 1231854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + l = -10, 3*l = -4*j - j + 4. Solve -4*d - 8 = -j*g + 6*g, -3*d - 5*g = 16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/128 - 50\/(-8)*-1. List the prime factors of 146\/3 + c\/9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1433 and -2867\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 328 + 4*h + 24 + 9*h + 152*h**3. Let t(m) = -51*m**3 - 3*m + 101. Let v(c) = 3*p(c) + 10*t(c). Find the first derivative of v(w) wrt w.\nAnswer: -162*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/4 - 2*f**4 - 7*f**3\/4 = 0. Calculate f.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*a - 155 = -49*a + 188. Let n = 733\/5 - 146. What is the biggest value in -5, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(14 + -28)\/28. Solve -12*o - 1 + 73 = j for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/112, -4, -1041, -38?\nAnswer: -3\/112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1690*k**2 + 555*k**5 + 1023*k**2 - 1451*k**2 - 2325*k**5 - 167*k**5 wrt k?\nAnswer: -116220*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0.3. Let h = -58 - -29. Let j = -30 - h. What is the nearest to j in -2, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*f - 148, 0*j + 10 = 5*j. Let i = f - -148. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 396 and 1452.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 39 and 2534669?\nAnswer: 2534630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 154 = -5*l. Suppose -l - 3 = 4*x. Is 11 a factor of (5\/x)\/(1\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -4. Let n = 28 + g. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 6. Let r be v(5). Suppose 0 = -2*j + 2*s + 16, 14 = 2*j - s - 0*s. Let p(y) = r - y**2 + j*y**2 - 2. Determine p(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11221203002 + 212?\nAnswer: -11221202130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/308 + 6\/(-297)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3084.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-7))**49 assuming p is positive.\nAnswer: p**(-294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.6763 + -0.2817. Let j = -0.042 + b. Let n = -0.3 + 0. What is the closest to 0 in n, 2\/9, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2472*u**2 - 274*u - 551. What is the tens digit of k(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22801483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/375404 and 41\/187326596.\nAnswer: 187326596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 34*x - 30*x - 518, 0 = -5*x + 2*a + 644. What is the remainder when x is divided by 75?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*k + 2*k**2 + 0 + 2)*(3 - 3 - 1) + (4 + 3 - 3)*(-32*k**2 + 34*k**2 + 65*k**2) in the form q*k**2 + x*k + u and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5 = -2*v + 3, -c - v + 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -69. Find the second derivative of i**4 + j*i - 44*i + 3*i**4 wrt i.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 20, a - 4*u - 84 = -0*a. Suppose x - 2*x - a = -z, x - 116 = -2*z. Find y, given that 9 + 27*y**2 + 3*y**2 + 5*y**2 - z*y - 29 = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1829 - -1815. Suppose -14 = 3*h - 5. Sort 2, n, h.\nAnswer: n, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-24)*2*9\/8.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2 = 2*y - 14, 5 = -5*c - y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 10, -28\/137, -1117 in descending order.\nAnswer: 10, -2\/11, -28\/137, -1117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, -9\/11, -192?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -17*r**3 - 2*r + 26. Let v(g) = 34*g**3 + 5*g - 53. Let u(d) = 5*j(d) + 2*v(d). What is the first derivative of u(n) wrt n?\nAnswer: -51*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 2*w + 3*w)*(5*w**2 + 4 - 4) - 9 + 8*w**3 + 9.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a5796 (base 12) to base 2.\nAnswer: 100101000000000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 19, 34, 47, 58, 67, 74?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((12\/(-5))\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2428585886134 - 0.2\nAnswer: 2428585886133.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 213 and 3173629?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -38. Let n be (4\/(-10))\/((-26)\/10). Let q be -1*(54\/(-21) + 3). What is the second biggest value in v, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-393)\/(-262))\/((-39)\/(-12))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148283800 to the nearest integer?\nAnswer: 12177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -205, 244, 1409, 3650, 7327, 12800, 20429, 30574?\n\"Answer: 60*q**3 - 2*q**2 + 35*q - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-35))\/(3\/5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-17)\/(b*b*b\/b**(-7)*b))\/((b*b*b*b**(-6\/11)*b*b)\/b*b*b\/b**(-3)))**(1\/18) assuming b is positive.\nAnswer: b**(-401\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -70*d - 144. What are the prime factors of x(-7)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 1, u: 1, h: 1}. Give prob of picking 1 i and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1 - 4*m + m + 4*m. Let j be o(6). Let s be (6 - 3) + -8 + (-36)\/(-6). Solve -3*x = b + s + j, b + 4*x + 8 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**5\/20 + j**4\/9 + 2*j**3\/9 - 3*j + 2. Factor l(m).\nAnswer: -m*(m - 2)*(3*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 5, -2\/21, 17353 in ascending order.\nAnswer: -2\/21, 2\/7, 5, 17353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2523, 10095, 22715, 40383, 63099, 90863, 123675?\n\"Answer: 2524*l**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60918 - 60911 - 8*b**3 + 182740 - 60911.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (9 + -14) - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -16116699?\nAnswer: -16116695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -327612\/191 or -1714?\nAnswer: -327612\/191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*w + 7 = 2, 0 = -2*w - 6. Is 3\/32 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16136253 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 9 = 0, -19 = 42*x - 47*x + 2*j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 38. Which is the closest to -0.1? (a) -0.3 (b) -0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -123?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**3 - 14*t**3 + 6*t**3 + 4*t**2 in the form c*t**2 + h*t**3 + j*t + x and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327635494?\nAnswer: 2, 67, 1093, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 + 62. Suppose m + 12 = 4*i, c*i - 3*m + 1 = -3. List the prime factors of i\/(8\/(-1340)*-5).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 11. What is the nearest to -0.2 in -5, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6313 and 6741?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 92958800*j - 432066924872000.\nAnswer: -5*(j + 9295880)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*f - 35 + 35 + f + f - f + 2*f - 2*f + f + (-3*f + 4*f - 3*f)*(-5 + 3 + 0) + 3*f + 0*f - 4*f)*(20 - 46 + 45)*(1 - 1 - 3) to k*f + j and give k.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 8*c - 31 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3021003 (base 4) in base 3?\nAnswer: 122122120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 4) in base 5?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yazyjgyzxyzyz. Give prob of sequence jz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 3*m - 1. Let c(j) = -12*j**2 + 4*j - 8. Let q(h) = 8*a(h) + c(h). Factor q(x).\nAnswer: -4*(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1235*o - 1189*o = 343 + 393 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r + 72. Let v be (-414)\/(-10) - r\/30. What is the common denominator of ((-51)\/4)\/(v\/(-24)) and -26\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = p - 7, 2*p - 20*s - s = -101 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*f + 5 = 7*f, -2*f + 5 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-8) - 5\/20. Let c(r) = -r - 1. Let d be c(-6). Suppose 17 = u - d*o, u + o = -u + 1. Solve z - 4*a + u = -j, -2*a + 20 = -5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 8*f + 25. Let p be q(10). Let m be ((-36)\/10)\/(p\/(-150)). Suppose m*i = 2*i. Which is smaller: i or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(-2*sqrt(637) + -2 + 5))**2.\nAnswer: -756*sqrt(13) + 23013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17d06 (base 14) to base 2\nAnswer: -1110101100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*b - 2*r, 4*r + 1 = -3. Suppose -5*u - 493 + 48 = 0. Let f = u + 621\/7. What is the third biggest value in 8, f, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4, -x = 3*q - 4*x - 12. Suppose b + q*b = 4*b. Suppose -5*v + 681 + 284 = b. List the prime factors of v.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((j + j - 3*j)*(1 - 2 + 2) + j + 0*j + j + (-2 + 1 - 1)*(-3*j + j + 0*j) - j + 2*j - 2*j)*(-2*j**2 - 2*j**2 - j**2).\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/7 - 9259*y**2\/7 - 28173741*y\/7 - 18799066665\/7 = 0. What is y?\nAnswer: -1263, 11785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h*h**(-1\/6))))\/h*h\/(h*h*h**(-5\/7)*h*h*h))\/(((h*h**(-9)*h)\/h*h)\/h**14))**(-2\/19) assuming h is positive.\nAnswer: h**(-737\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-8)\/8 + 35*(-16)\/40.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**5\/20 + g**4\/12 - g**3\/3 + 2*g**2 - 207*g. Let h(b) = 3*b**3 - 4*b**2 + 7*b - 13. Calculate -2*h(o) - 7*j(o).\nAnswer: o**3 + o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 4. Let t = -3.7 - v. Let f = -3.5688 - -1.3688. Which is the nearest to f? (a) 2 (b) 3\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-9) + (-10560)\/108. Let p = r - -93. Let s be (-2)\/8 + (-55)\/20. Put p, s, -7 in increasing order.\nAnswer: -7, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -0.7 (c) -5\/12 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 248812860.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 - (3 - (-2 - -7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22367*l**4 - 2*l**3 - 12*l**2 + l + 3163011 wrt l.\nAnswer: 89468*l**3 - 6*l**2 - 24*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.188, 0, -0.3, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 9:09 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Let i be (-2)\/(-3) + 25\/s. Suppose p - 5*p - 5*y - 7 = 0, -3*y - i = 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**4\/12 - 5*g**3\/6 + 5*g**2\/2 + 2*g. Let n be u(-5). Let p = 75 - 73. Solve p*y = n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 959681 = 301052. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1403435 millilitres?\nAnswer: 0.0001403435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 2*a**2 - a - 75. Let m be q(0). Let s = m + 81. Is 4*3\/6 + 2712\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2\/69, 0.0122 in descending order.\nAnswer: 14, 2\/69, 0.0122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -17*a - 46. Let c(q) = -34*q - 107. What is 2*c(v) - 5*x(v)?\nAnswer: 17*v + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -318, 1.\nAnswer: -318, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 453 = -5*o - 133, j + 126 = 2*o. Suppose 3*q = 4*k + 5*q - o, -2*q - 46 = -2*k. 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 are the prime factors of 2412?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, k: 1, f: 1, z: 2, x: 1}. What is prob of picking 1 k, 1 z, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*((-2)\/16 + 272\/128)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18645 - 1?\nAnswer: -18646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(272))**2 + -2 - sqrt(272).\nAnswer: -20*sqrt(17) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4337.578km in meters?\nAnswer: 4337578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 2*o. Let f be k(-2). Let p(a) = a + 6 + 1 + 1. Let x be p(f). Let z(t) = -t**2 - 8. Determine z(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3521922*s**2 - 603921.\nAnswer: 7043844*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1918230024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*v - 2*v + 2*v)*(-2*v + 2*v + 3*v) - 3*v + 3*v + v**2)*(1 - 1 - v**3).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 34*p**2 - 11*p + 3. Determine d(2).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.28 - 1.28. Let u be ((-2)\/(-36))\/((-1)\/4). Which is the smallest value? (a) o (b) 0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -7*t**4\/4 + t. Suppose 0 = 7*f + 4*f - 22. Let a(d) = -70*d**f + 36*d**2 + 35*d**2. What is a(h(l))?\nAnswer: 441*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 2*f + f - f)*(-2*f**2 - 3*f + 3*f).\nAnswer: 2*f**4 - 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*((-4)\/(-6) - 1). Let a = s + 8. Let k = -0.04 + 4.04. Sort k, -5, a in decreasing order.\nAnswer: a, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -13 - (-4)\/(204\/(-1105)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j - 171. Let d be v(-25). Let c(r) = -r**2 - r - 1. Let f(x) = 2*x**3 + 4*x**2 + 6*x - 3. Determine d*c(b) + f(b).\nAnswer: 2*b**3 + 2*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3\/(k*(k**(-6)*k)\/k))\/(((k\/((k\/(k*k**0))\/k*k*k)*k)\/k)\/(k\/k**(3\/2))))\/(k*k**(1\/3)*k**4*((k**1*k)\/k)**6) assuming k is positive.\nAnswer: k**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 8 = 18*h. Let j = 6 + -1. Solve j*s - h = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -156217.8 and 0.6?\nAnswer: -93730.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17577 is divided by 5850?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1066 and 2470?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0)*(-2*z**3 - z**3 + z**3) - 8*z**3 + 14*z**3 - 3*z**3 + 19*z.\nAnswer: z**3 + 19*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-3)\/(9\/3). Let j = 194 + -330. Let m be j\/(-36) - g\/(-9). Solve 2 + 2 = -m*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from pppppspspppppppspps.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91192917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 407 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 14*y - 7. Suppose 0 = -0*z - z + 10. Let l be w(z). Is 4\/22 + 2733\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, w: 5, d: 2, u: 2, i: 8}. Give prob of sequence dd.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -125*z**3 - 20*z**2 + 19*z. What is a(1)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**4 + 0*c - 2*c**4 + 4*c wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29600 (base 15) to base 9\nAnswer: -222360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1363*f**5 - 442*f**3 + 14*f**2 + 10601325*f + 3 wrt f?\nAnswer: 27260*f**3 - 2652*f + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2 - a - 10. Let c be t(4). Let i = 46 - c. Let q(v) = v**3 + 3*v**2 - 5*v + 1. What is q(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 + 26. Let t = k - -66. Suppose -46 = -3*r + 5*u, 28*r - 2*u - 80 = 24*r. Is t bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 0.03 (c) 3.7 (d) -41 (e) -114 (f) 0 (g) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(0 - 2) - 1. Suppose -x - 7 = 2*x + b, 5*x - 5*b + 25 = 0. Let z be 8 + 2 + -2 + x. Solve z*r = m + 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2 + 5*b. Let f(n) = 7*n**2 - 10*n. Let o(v) = -3*f(v) - 5*g(v). Let u be o(2). Calculate the greatest common factor of u and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/32592 and 17\/4872.\nAnswer: 945168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14862 and 0.2?\nAnswer: -2972.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -90209*q - 6946058. Calculate o(-77).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305, -223, -145, -77, -25, 5, 7, -25?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.14282 to two dps.\nAnswer: -34.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and -0.552211.\nAnswer: -6.552211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 13*f**2 + 13*f + 11. Give w(-14).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 less than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 * 4\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1458.8 + 1459. What is the second smallest value in -0.1, 3, 2\/21, k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/16722 and 131\/34308?\nAnswer: 31872132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1576138 to the power of 1\/2, to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**3\/3 + 5*k**2\/2 - 5*k + 188. Suppose 6*o = o - 40. Let l = -4 - o. Give a(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1750735?\nAnswer: 5, 7, 50021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 11:32 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3076, 4316, 5556?\n\"Answer: 1240*a + 1836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -129, -263, -399, -537, -677?\n\"Answer: -h**2 - 131*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99535 + 99534.923981. Let k = 0.076 + p. Round k to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5 + 2576*q**4 - 49438*q**3 + 297548*q**2 - 585280*q + 334592 = 0 for q.\nAnswer: -1307, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 3:12 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4 + 7) - (-242 - 1). Let m = 247 - v. Let h be ((-2)\/4)\/(3\/(-18)). Solve h*r - m*r - 4 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + (sqrt(300) + -1 - sqrt(300)))*-4 + 5*sqrt(300)*-1 + -4 + -2)**2.\nAnswer: 360*sqrt(3) + 24304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 520 = 4*n, 15*g = 10*g + n + 2474. Calculate the remainder when g is divided by 97.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1531 + -1531.54. Which is the nearest to 0.4? (a) 5 (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1163728*d*w + 1231119*d wrt w?\nAnswer: -1163728*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + m**2)*(m**2 + 0*m + 0*m) + 18 + 6*m**4 - 18 + (-4 - 1 + 3)*(-m**3 + m**3 - 2*m**4).\nAnswer: 11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/2 - (-160 + 172).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.99 - 0.01. Let j = 80.04 + -78. Let x = f + j. Round x to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117860 less than -740638534?\nAnswer: -740756394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 - 6*l**2 + 4*l**2 to the form c + m*l + j*l**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(330)\/(sqrt(1210)*-3))\/(-2*5*sqrt(3)*-2).\nAnswer: -sqrt(11)\/660 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22378432319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-1170)\/12))\/(1\/(-5))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4)*(23*p**2 - 23*p**2 + 11*p**3)*(-2*p + 0 + 0 + (0 + 1 - 2)*(p + 3*p - 3*p) - 4*p + 2 - 2).\nAnswer: -154*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 18*d. Let y(c) = -8689 + 8689 + 12*c. Determine y(g(s)).\nAnswer: 216*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/(-2))\/(-7)*6. Let j be y*(4 + (-1776)\/(-21)). Let f = 264 - j. What is the third biggest value in f, 0.5, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*i**2 + 106*i - 106*i)*(4*i**2 + 0*i**2 - 2*i**2 + 19) in the form f*i**2 + y*i + k*i**3 + g*i**4 + t and give f.\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 8478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*g - 4. Let t be 817\/3 + (-4)\/(-6). Is (t\/(-6))\/(g\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 11:31 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**2 - 15*p + 41. Let b be w(3). Let g(n) = -b*n - 25 - 49*n + 29*n - 35*n. Let k(q) = -13*q - 3. What is 3*g(c) - 25*k(c)?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 157749 and 157500 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - q = -0*q - 53, 0 = -5*x + 4*q + 40. Factor -14*r + 2*r + 4*r**3 - 20 + 0*r + x.\nAnswer: 4*(r - 2)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 8 - (-13 + 3 + -1 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1015.5 + -1015.7. Sort -2\/3, -1, 4.59, 0.5, o in descending order.\nAnswer: 4.59, 0.5, o, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 4119.13.\nAnswer: -20595.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1)*(2*z - 1 + 1) + (1 + 2 - 2)*(-2*z + 5*z - 2*z) + 0*z - 5*z + 8*z - 10*z - 11*z + 18*z in the form m*z + n and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*n - 2 - 144*n + 13857*n**2.\nAnswer: 13857*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-1 - -6))*70\/30.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1991 and 0.4.\nAnswer: 0.2009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l. Let g = 1 - 0. Let i(m) = 68*m - 1 - 63*m + g. Let w(n) = 4*i(n) + 7*s(n). Let y(q) = -3*q. Determine w(y(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10 + -1 - -6) + (4 - -44450) + 3.\nAnswer: 2, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 3\/61483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 + 3*i + 19. Let p(t) = 9*t**2 - 9*t - 58. Let a(c) = -6*p(c) - 17*q(c). Let k be a(-4). Is k less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 5*t + 2*l - 285, -3*t - 3*l + 171 = 0. Is 28 a factor of (t - (-1 + 1)) + 3 + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/3, -1, 21, -2\/9, -45?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -49*i. Let w(q) = -27209*q. Give y(w(h)).\nAnswer: 1333241*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 19*a**2 - 4*a + 1. Let t(v) = -20*v**2 + 5*v - 2. Let p(i) = -3*j(i) - 2*t(i). Let y(k) = -k**2 + 15*k + 99. Let m be y(20). What is p(m)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-5 + sqrt(1088)*-4)*6 - ((sqrt(1088) - sqrt(1088)*2)*3 + (sqrt(1088) - -4*(sqrt(1088) + -2)))) + 0)**2.\nAnswer: 7488*sqrt(17) + 735812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p + 1. Let o be (0\/(-5) - -7)*-1. Let h(s) = 13*s + 3. Calculate o*i(b) + 2*h(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*t - 713 = -11353 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 10. Let b(q) be the second derivative of q**5\/60 + 7*q**4\/24 + q**3\/2 + 14*q**2 - 21*q. Let k(h) be the first derivative of b(h). Determine k(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 33927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -2\/9, -60, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(2 - 1 - 3). Let y be 1 - 12\/(4 + -8). Let k(i) = 3*i + v*i - y*i - i. Let o(b) = -2*b. Give o(k(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 98, 173, 248, 323?\n\"Answer: 75*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3997563, -7995097, -11992621, -15990135, -19987639, -23985133?\n\"Answer: 5*t**2 - 3997549*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 12:10 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b6b - 30?\nAnswer: -b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3)*(0 + 0 - d)*(-1 + 3 - 9) - 7*d + 9 - 9.\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*i - 17*i - 42*i + 21*i in the form u + y*i and give y.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7491 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r - 25. Let d be q(-8). Put 5, d, 7, -3 in ascending order.\nAnswer: -3, d, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -733.793545 - -161981.\nAnswer: 161247.206455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1658278 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1568 - -3.8432. What is the smallest value in h, 5\/2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**5\/70 - 46*h**4\/7 + 8464*h**3\/7 + 736*h**2. Determine i, given that z(i) = 0.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11251339 and 2045698?\nAnswer: 22502678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(-27) - 1932\/(-54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + j - 1. Let n(x) = 2*x**2 - 3*x + 5. Let k = 526 - 530. Calculate k*u(s) - n(s).\nAnswer: 2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5571220 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y + 196. What is k(-17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c**2 + 3*c**3 + 7*c + 3*c**3 - 2*c**3 - 3*c**3. Let b be h(-7). Suppose -3*y - 2*y + 20 = b. What is the smallest common multiple of y and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43.5 - 43.3. What is the nearest to 0.5 in 7, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z - 98. Let v be n(-25). Suppose -3*i = v*p + 5, 6*p - p + 8 = -3*i. Let l = -2 - -1.93. What is the nearest to -1 in i, 3\/7, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3)*((-2*p + 1 - 1)*(-3*p + 0*p + p) - p**2 + 7*p**2 - 2*p**2) + 3*p + 3*p**2 - 3*p.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**3\/5 + 31306*v**2\/5 + 93936*v\/5 = 0.\nAnswer: -3, 0, 15656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p - 3*p - 4*p - 2 + 2 - 3*p + (p - 3*p + 3*p)*(2 + 2 - 2) as j + q*p and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*r - 8, -r + 4*r = -5*i + 1. Suppose 3*t - 2*w - 1 = 0, 4*t = -w + 2*w + 8. Sort -4, 1, r, t in increasing order.\nAnswer: -4, r, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/5 + (-24)\/14*(-994)\/2130?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/(-20)*(-4)\/36*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h = 42*h - 8. Solve -h*v - 21 = -25 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 5*u - 5*u)*(6 + 5 - 7*u + 12*u) + u**2 + 3*u**2 - 5*u**2.\nAnswer: -6*u**2 - 11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2, -678, 4, 17\/5, 5\/3.\nAnswer: -678, -2, -2\/5, 5\/3, 17\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -248 + 267. Solve 17*o + 2 = z*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1144373 (base 9) to base 11.\nAnswer: 39386a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 8*r + 10. Suppose 0*d - 2*x - 35 = 5*d, 0 = 3*x. Calculate t(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + -4 - (30 + -39 + -45)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 322 and 19734?\nAnswer: 138138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -209 times -6894\nAnswer: 1440846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q, -5211 = -2*y + 2*q + 16579. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = h - 26999, -2*h - 106*s + 107*s = -53965. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1045*q**4 + 778*q**2 + 164997*q + 1 wrt q.\nAnswer: -12540*q**2 + 1556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 162*t - 158*t = -32, 4*t = 5*m - 272. What is the remainder when 76 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75895 is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 6 - 3)*(-2*y + 2*y + y)*(-2 + 2 + 23*y**3).\nAnswer: -322*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f - 114. Let y be w(22). Is ((-9)\/(-36))\/(y\/(-179936)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (96\/3)\/(3\/6). Let y = 67 - j. Suppose -a - 2*q - 1 = -3, 0 = a + y*q. Let n(m) = m**2 - 3*m - 7. Calculate n(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1898448 or 1898468?\nAnswer: 1898448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 5089728575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -133, -4.\nAnswer: -133, -10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*o)*(-2 + 2*o + 2 + (-3*o + 0*o + o)*(4 - 3 - 3)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -14460*y + 5 - y**2 + 14459*y + 17*y**2 - y**4 - 2*y**3 in the form n*y + x*y**2 + r + f*y**3 + b*y**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48670 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g + 43*g + 8 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32.2 times 0.1\nAnswer: 3.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 (base 6) in base 14?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(17) - (sqrt(136)\/sqrt(8) + sqrt(17)))**2*-1 + 2 - -4*(2 + sqrt(1700))) + -4.\nAnswer: -12 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2052 + 524. What are the prime factors of s?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.03 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**4 - 3*n**4 + 0*n**4 + (-2 + 2*n + 2)*(-3*n**2 + 3*n**2 + 3*n**3) + ((1 + n - 1)*(-1 + 0 + 3) + n + 8*n - 4*n)*(4*n**3 - 3 + 3).\nAnswer: 35*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2\/7*h**3 + 0 + 6\/7*h**2 - 36\/7*h = 0.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from ondsf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12324 and 780?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 a when four letters picked without replacement from {a: 17, f: 2}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((5 + sqrt(567) + (sqrt(567) - (sqrt(567) - (-1 + sqrt(567)))) + 5 - -1*(0 + -2*sqrt(567))) + -4)**2.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y + 53. Let n be j(10). Suppose -6487 = n*d + 3308. Let i = -904 - d. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s. Let r be i(2). Let x(l) be the first derivative of l**2\/2 + 32*l - 106. What are the prime factors of x(r)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 = -2*z - 424. Let t(n) be the first derivative of 8 - 8\/3*n - 4*n**2 + 2*n**z + 22\/9*n**3 - 14\/15*n**5. Let t(u) = 0. What is u?\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-2)\/36*-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 72 + 5*l - 2*l - 82.\nAnswer: 3*l - 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*c = -3, 5*a + 5 = 3*c - c. Let s be (2 - 3\/(-3)) + a. Suppose -r + 6 = -s. Solve r = 4*y - b + 29, 0 = -2*y + 2*b - 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 32*d**2 - 26*d - 42. Let a be z(-31). Suppose y + 2*i = i + 339, -a = -5*y + 5*i. List the prime factors of y.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (7 - 4) + 14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**2 + 164*n + 720 = 0. Calculate n.\nAnswer: -4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 195*v**3 + 3*v**2 - 302*v**3 + 206*v**3 + v**2 to the form u*v**2 + i + c*v**3 + g*v and give c.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0265660287 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1802 + 1811. Let x(v) be the first derivative of -2\/3*v**6 + p + 5\/2*v**2 + 0*v**3 + 0*v**5 + 0*v + 0*v**4. Find the second derivative of x(q) wrt q.\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5\/7, 2, 305, -5, 9\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, -593, -1921, -3781, -6173?\nAnswer: -9097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 24*w - 93. Give q(11).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 3*f + 5*x, f - 5*x = 57 + 26. Let a = -25 + 93. Let c = f + a. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 2251690.\nAnswer: 2251690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 32. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from dkttdtggdtgde.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -1, -1771.\nAnswer: -1771, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/63*((-961)\/68 + -4 + 2706\/697).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5952716 is divided by 48395?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 192348 (base 10) to base 16\nAnswer: 2ef5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -j + 28, -11 - 2 = -j - 2*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1.15 (b) -0.07 (c) 5 (d) 2 (e) -0.37 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((0 - -1) + (1 + 17 - 14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 16*k = 12. Differentiate 6 + 12*b**2 - k*b**2 + 11*b**4 wrt b.\nAnswer: 44*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 11*d + 13*d**2 - 17 + 40 - 15 - 12. Let y be p(12). Let g = -9 + 14. Solve -3*v + y = -g*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b = -24*b - 22*b + 127820. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*y + 3*y - 65*y - 1 - 7*y as k + n*y and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 6:00 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*w**2 + 186*w**4 - 282 - 6*w**2 + 9*w**2 wrt w?\nAnswer: 744*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -165d?\nAnswer: 165a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*f - 36. Calculate the common denominator of -41\/6 and (1 + 100\/(-3))*(-48)\/f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 227*j**3 + 11*j - 11. Let p(l) = 45*l**3 + 2*l - 2. What is -22*p(z) + 4*w(z)?\nAnswer: -82*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 2\/343, 3\/2 in increasing order.\nAnswer: -3, 2\/343, 3\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 71804559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-8) - 12\/(-48). Suppose 5*w + x*z - 61 = 0, w + 3*z - 3 = 7. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 7*n**2 + 6*n - 8. Let a be q(8). Let h be ((-30)\/a)\/((-1)\/(-4)). Suppose -g + h = -2. Solve 0 = 3*k + 1 - g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20460 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g**2. Let t(y) = y**2 + 50*y - 1571. Give t(a(o)).\nAnswer: 49*o**4 + 350*o**2 - 1571","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 103.425078 and 245.\nAnswer: 348.425078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.4, -0.2012377, -4 in ascending order.\nAnswer: -4, -0.2012377, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6*u = 210. Is u a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-612)\/48)\/((-3)\/4). Suppose -4*m = 4, -15 = q*j - 19*j - m. What is the greatest common divisor of j and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {j: 10, s: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 101524?\nAnswer: 406096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/9, -5, -0.2, 1.375?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -d + 11, 0 = 4*y + y - 4*d - 19. Let i(a) = a**2 - 2*a + 4 - y + 4 - 1. What is the units digit of i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.5, -41, -2, -3, 1\/328 in descending order.\nAnswer: 0.5, 1\/328, -0.5, -2, -3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 1012.\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3363*o - 99097 = 3359*o - 5*i, 3*i - 99111 = -4*o. What are the prime factors of o?\nAnswer: 3, 11, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s + 6*s**2 + 6*s - 3*s**3 + 4*s**2.\nAnswer: -3*s**3 + 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*k**4 + 464345*k**3 - 975345*k**2 + 20*k + 185780 = 0. What is k?\nAnswer: -9289, -2\/5, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryqfsry. Give prob of sequence yq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 83. Suppose 4*t = -x + 19, -5*t - 33 = -3*x + b. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2328 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 16. Let u = 10 + d. Let x = -210\/13 - -433\/26. Which is the nearest to 2\/7? (a) 2 (b) u (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3202 + 5202. Is 2000 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -184*q**3\/3 - 4*q**2 - 4*q - 225. Find the second derivative of u(c) wrt c.\nAnswer: -368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3 = 2*s - 5, 5*w + 4 = s. Let c(y) = 2*y**3 + 4*y**2 - 6*y + 5. Let b be c(s). Round b to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmp when three letters picked without replacement from pmppzpjplzymzjyjmjyy?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 115273.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 2*t**4 - t**3\/3 - t**2\/2 + 14. Calculate a(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 18604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3349?\nAnswer: 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81106 is divided by 619?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -67\nAnswer: 6\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -1838, -6224, -14768, -28856, -49874?\nAnswer: -79208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -69, -62, -39, 6, 79, 186, 333?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + c6d21c?\nAnswer: c6d21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5398*w + 43160. Give j(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -688404 + 1258211. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/2 - 3\/(-6). Suppose -o*b + 55 = -3*p, 32 = 3*b + 4*p - 25. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*b - 71*b = -149*b + 55 for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 1. Let k(j) = 6*j + 2. Let g(v) = 2*k(v) - 10*r(v). What is the first derivative of g(l) wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 10455?\nAnswer: 10457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 169 + (-2)\/(2\/(-3)). Let k = 354 - h. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 207140 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*l, 4*y + 4*l = -l + 101. Suppose -9*h = -42 + y. Suppose 8\/7*t + 1\/7*t**h + 16\/7 = 0. Calculate t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 29*g - 28 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -g - 2*h, 3*g + 5*h + 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**7\/v**4*(v**(-2\/5))**(3\/7) assuming v is positive.\nAnswer: v**(99\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 6:00 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((4 + -3)\/20). Suppose 4*i = -i + z. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-13 - -13) + 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1451, 2558, 3321, 3740?\nAnswer: 3815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*j + 40, -5*x - 4*j - 100 = -j. Let v(d) = d**3 + 19*d**2 - 22*d - 41. Let c be v(x). Let h(i) = 7*i + 1. Calculate h(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 0*o**3 - 3\/2*o**2 - 3\/4*o**4 - 22 + 0*o. Let a(n) be the second derivative of r(n). Let q(z) = 3*z. Calculate q(a(f)).\nAnswer: -54*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1 + 0 - 76*p**2 + 57*p**2 + 35*p**2 + 1 + p. Calculate z(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200469 - 0.3.\nAnswer: 200468.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 12748170.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 3*c + 3*c)*(-5 + 28 - 7) - 7*c + 19*c - 125*c**2 - 11*c.\nAnswer: -77*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kko. What is prob of picking 1 k and 1 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (52 - (-1 + 5 + 88 + -85))) + 6\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.90967 rounded to 0 decimal places?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**6)\/(t*t**(-1\/4)) assuming t is positive.\nAnswer: t**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3))**(-3\/2)\/(t\/((t*t*t**2)\/t)*t*t**(-2\/9)))**(-3) assuming t is positive.\nAnswer: t**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 - 5*z - 612. Let i(c) = 2*c**2 + 4*c + 588. Calculate 5*i(r) + 4*n(r).\nAnswer: -2*r**2 + 492","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3723754, -7447509, -11171264, -14895019, -18618774, -22342529?\n\"Answer: -3723755*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -228*m + 2. Let f(j) = 192*j - 100*j - 90*j. Calculate f(p(y)).\nAnswer: -456*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 129 = 3*h + 178, 0 = -5*h + 2*q - 82 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/6))\/t**(-4))**14 assuming t is positive.\nAnswer: t**(217\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -13 + 56*i - 5\/3*i**3 + i**2. What is the derivative of q(n) wrt n?\nAnswer: -10*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -18. Suppose -j*q + 8 = -3*q. Let f = 20 - 14. What is the least common multiple of f and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6729, 13453, 20173, 26889, 33601?\n\"Answer: -2*d**2 + 6730*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1958)\/356 + (-6 + 108\/8 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = d + 567, -x - 91*d + 89*d = -135. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 3:04 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 4, -22343, 1.\nAnswer: -22343, 1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 0 + 0*q + 3\/2*q**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -17. Solve -7*p + r*p - 12 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or -54911?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -418, -841, -1266, -1693, -2122?\n\"Answer: -f**2 - 420*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/(5\/(-10)). Let u be (75 - -9)\/(y\/(-1)). Let p be (-10)\/3*u\/35. Is p at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2613.158347 to one decimal place.\nAnswer: 2613.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-30))\/((-2200)\/1584).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - a - 10 = 0, -36*a + 25 = -31*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -2*u, 5*v = -3*u + 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-8)*d)\/((d**2*d)\/d))\/(d**(-2))**(-22) assuming d is positive.\nAnswer: d**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 481, 720, 959?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + 26*g - 11*g - 6*g + 112.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (sqrt(65) - (sqrt(65)*-2*-3 + sqrt(65)) - sqrt(65)) - -3*-1*sqrt(65))\/(sqrt(5)*-1*1 + (sqrt(15)*-1)\/sqrt(3)).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -11, -5, 372, 1 in ascending order.\nAnswer: -11, -5, -4, -3, 1, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 1 + 1)*(3*p - 4*p + 3*p) + 149*p - 149*p + 29*p**3 + 0*p + 0*p - p**3 + (5*p - 2*p - 4*p)*(-p**2 + 0 + 0) + p**3 + 1 - 1.\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 2 + 4)*(-1 + 0 - 5) + 0 - 4 + 1)*(37*w**2 + w + 7*w**2 + 344 - 43*w**2) to l*w + n + c*w**2 and give l.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**6\/50 - 21*j**5\/100 + 2*j - 95. Factor p(l).\nAnswer: -3*l**3*(l + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9301?\nAnswer: 71, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 6:33 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0524377 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11735 by -44.\nAnswer: -11735\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46d (base 14) to base 4.\nAnswer: -31301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.3, 0.02, -0.06.\nAnswer: -3, -0.3, -0.06, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f**2 - 47*f - 13. What is l(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 9. Let j(l) = 18*l**2 - 6*l**v + 2*l**2 - l**2. Let s(h) = h. Calculate s(j(i)).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*w + 51 - 18 - 4*w with respect to w.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -694 (c) -2\/3 (d) 18009 (e) 0.2 (f) 1\/7 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + ((-4370)\/(-20))\/((-2)\/(-8)). Suppose -43 - p = -4*w. Does 46 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/6, 3 in decreasing order.\nAnswer: 3, 1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/2 - 2089*z**2\/2 + 1089935*z\/2 + 1092025\/2 = 0.\nAnswer: -1, 1045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10756267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 234 - 330?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -25 (b) 0.79 (c) -0.3 (d) -2\/11 (e) 0.15 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 4) to base 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k - 135 = 0. Let m = k + 31. Suppose f + 4*i = -f + 88, m*i = -20. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**8\/1008 + k**7\/315 - k**6\/360 - 17*k**2\/2 - 20. Let g(w) be the second derivative of x(w). Suppose g(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 5*j. Let w be (-22)\/(-6) + -1*(-4)\/12. Determine p(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -473*n**3 - 7*n**2 + 9*n - 5. Let o(h) = 474*h**3 + 6*h**2 - 6*h + 4. Let v(t) = 3*o(t) + 2*w(t). Find the third derivative of v(y) wrt y.\nAnswer: 2856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3266627, -6533262, -9799897, -13066532?\nAnswer: -16333167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -12729, -4\/11 in increasing order.\nAnswer: -12729, -4\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 6*d - 59*d = 572 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l - 7*l + 5*l)*(4*l - 3*l - 2 - 2*l + (2 - 2 + 2)*(0*l - l + 3*l)) + l**2 + 0*l**2 - 3*l**2 + (2*l - l + l)*(-l + 0*l + 0*l).\nAnswer: -34*l**2 + 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(16))\/sqrt(8)*6 + -2 + ((sqrt(2) + 0)*5 + (0 + sqrt(2))**2 + -5)*1.\nAnswer: -5 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 27265 - 3202.767\nAnswer: 24062.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -6 + 5 - (3 + -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*1)\/sqrt(4))\/(sqrt(324)*-2).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 30. Let i be d(10). Solve -5*c - 3*v + i = -0*c, -4*v = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y + 1. Let o = -7 + 7. Suppose a + 5 - 2 = o. What is the units digit of p(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**2 - 3*u. Let x be d(2). Let z = 44 - x. Calculate the greatest common factor of z and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*r = 88*r - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 0)*-1 + 9*51. Let t = y - 221. Let v = -47 + t. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1\/111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35680 is divided by 123.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 191322883 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 166111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2164, 5, -17 in decreasing order.\nAnswer: 2164, 5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226875820?\nAnswer: 2, 5, 1759, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 5.5. Let r = 1.5 + m. Which is the smallest value? (a) r (b) -7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23041*t**2 - 23025*t - 16.\nAnswer: (t - 1)*(23041*t + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4*-3 - (-254)\/4. Let p = a - 60. Suppose 0*t + p*h = 4*t - 28, 3*t = -5*h - 5. Solve 0 = t*w - 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25564 + 1144?\nAnswer: 30041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 66 = -3*q, -q + 2*m = -3*q - 52. Let x = q + 47\/2. Factor x*g - 1\/2*g**4 + 1\/2*g**2 + 0 - 1\/2*g**3.\nAnswer: -g*(g - 1)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yetgfggggggg. Give prob of sequence egf.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, t: 5, e: 3, w: 2, i: 1}. Give prob of sequence ue.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001492890904 rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0 + 2)*1. Let w = -4368706 - -170410892\/39. Let b = -804 + w. Which is smaller: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 56 = 2*s, h + 2*s = -3*h + 46. Suppose 2*a = -2*l - 0*a + h, -l + 5*a - 7 = 0. Solve -p + 0 = -l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48615 = 48617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46, -177, -394, -697, -1086?\n\"Answer: -43*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/2860 and 85\/124.\nAnswer: 88660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (4 + -8 - -4)) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -126. Suppose 2*s - o = -0*s. Let d(x) = x**2 - 88*x + 1868. Calculate the lowest common multiple of d(34) and s.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 14815*m + 148156. What is a(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 3*c + 33 = 0, 3*c = -722*i + 727*i + 39 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1936, 1972, 2010, 2050, 2092, 2136?\nAnswer: 2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30.14 and 8803.\nAnswer: 8772.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -53, 0.5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692845 is divided by 935.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8159.557 litres to millilitres.\nAnswer: 8159557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1825 is divided by 456.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 - 10.19. Let p = q - -10.1. Let u = 0.3 + -0.1. Which is bigger: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(-155)*5*29.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62064 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -7719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1088)*1 - (sqrt(1088) - (3 + (sqrt(1088) - 2*sqrt(1088) - sqrt(1088)))))**2 + -5.\nAnswer: -128*sqrt(17) + 4363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1255030349?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from ueeeild?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(240) + sqrt(15) - sqrt(15))*-6)\/(-3*sqrt(15)\/sqrt(3)).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 2\/(8\/12). Solve -h*j + 2*j = 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.735 + 311.265. Let g = x - 311. Let n(d) = 4*d**2 - d. Let r be n(1). What is the nearest to g in 2\/11, -0.1, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 885716 + 60778 = -u, 0 = -2*m - 3*u - 549977. Let r = 47021339\/171 + m. Let x = 50\/19 + r. What is the biggest value in -5, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5484 - 2739. List the prime factors of y.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.23 + -0.33. What is the smallest value in n, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(147) + -2)**2.\nAnswer: 56*sqrt(3) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12227778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -2. Let q = s - 1. Let l = -3\/55 - -36\/55. Put l, 5, q in increasing order.\nAnswer: l, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m**4 - 34000*m**3 - 11375*m**2 + 90700*m - 45340 = 0. Calculate m.\nAnswer: -2, 2\/3, 1, 2267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 5. Let o = -49 + 69. Suppose -4*c - o = -2*t + 6*t, 3*t - 5 = c. What is the units digit of w(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 71345*g - 19925*g + g**2.\nAnswer: 3*g**2 + 51420*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334212 - 1424410?\nAnswer: -2314122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + -7 - (0 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.3 - -36.4. Which is bigger: -2\/63 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12480930 divided by 5403?\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6433\/(-32165)*(4\/3)\/2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, s: 3, j: 2}. What is prob of picking 2 h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. What is the highest common divisor of 15 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/326 and -61\/6.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*s**2 - 1176*s + 1176*s + 32*s**2 + 82*s**2.\nAnswer: 385*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 4. Let r be 34\/8 + v\/(-16). Solve -5*k + 9 = r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2396.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 161*s**3 + 160*s**3 - 2456*s**2 - 1344*s**2 + 3800*s**2 + 4*s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0 + 0*a + 1\/14*a**3 + 1\/42*a**4 + 45*a**2 + 1\/420*a**5. Solve j(z) = 0 for z.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.03, 10, -558?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2043113033 (base 5) to base 2\nAnswer: -10000010010011011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 6*k**2 + 9*k - 2. Let f = 57 - 40. Let r be (2 - f\/(-3)) + 2\/(-3). Calculate t(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -7\/40*s**6 + 0*s + 19*s**2 - 29\/8*s**4 + 3*s**3 + 3\/2*s**5 + 0. Factor c(y).\nAnswer: -3*(y - 3)*(y - 1)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -18 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -109*a. Let n(s) = -2*s**2. Give n(t(g)).\nAnswer: -23762*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1429.362396us?\nAnswer: 0.00000000236336375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-9 - -16 - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(2) + sqrt(8)).\nAnswer: 3 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 2875*i**6\/6 + 2*i**3\/3 + 3561*i**2\/2 - 4695. Find the third derivative of l(d) wrt d.\nAnswer: 172500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10435696452045 + 10435696452045 + 2*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.42 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + t**2 - 21 - 9 - 3 + 1 - 15.\nAnswer: 2*t**2 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002288 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 8) to base 14\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeevvvv. Give prob of sequence qvv.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*x**5 + 4)*(-6 - 13 - 1 + 39).\nAnswer: -38*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 + k**5 - 4*k**5 + (3*k**3 - 2*k**3 + 0*k**3)*(2*k**2 - 3*k**2 + 0*k**2) + 1166*k**5 - 1169*k**5 + 2*k**4 - 62*k**4.\nAnswer: -5*k**5 - 60*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 6*c - 82. Let s(r) = -r**2 + 5*r - 42. Let k(m) = 6*d(m) - 13*s(m). Determine p so that k(p) = 0.\nAnswer: 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618858 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 30 - -6 - (1 - 1)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 4)*(-6*1)\/3. Let n be ((-1)\/(-6))\/((-1)\/(-3))*f. Solve 3*t - n = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**2 - 85832*w + 460445764 = 0.\nAnswer: 10729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -39*u + 360. Let s(i) = -2*i. Let c(z) = q(z) - 18*s(z). Does 15 divide c(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1703650 to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 93.7 (b) -4 (c) 3 (d) -0.017 (e) -67 (f) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(176) + -4)**2.\nAnswer: 64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 16*x - 21. Let h(w) = 3*w - 4. What is 11*h(i) - 2*p(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4112249 rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -8 - (-9 + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, 5, -173 in increasing order.\nAnswer: -173, 5, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*y - 1764 = 3*y, -4*h - 17*y + 12*y = 180 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -1779277.\nAnswer: 7117108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*i + 143990, a + 49670 = i + 13675. Round a to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 510772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + u + 805 = -921, 4*u = 2*q - 856. Calculate the lowest common multiple of q and 21.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 0*f**3 - 6*f**2 + 1\/20*f**5 - 1\/120*f**6 + 0 + 0*f**4 + 0*f. Find the third derivative of u(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 0*r**2 + 0*r**2 + (-r**2 + 3*r**2 + 0*r**2)*(-2 - 2*r + 2) + 0*r + 0*r - r**3 - r**3 - 4*r**3 - 2*r**3 - 5 + 4*r**3 + 5.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26924 + 45217. Let v = a + -329377\/18. What is the common denominator of v and (-2)\/(-8) - 125\/(-180)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/19)*b**11*(b*b**(2\/7))\/(b*(b**(-2\/13)\/b)\/b*b) assuming b is positive.\nAnswer: b**(21326\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1.3 (b) -5 (c) -2\/7 (d) -2\/4275\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000212407 rounded to six decimal places?\nAnswer: -0.000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4745 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 723445 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11955, 11581, 11211, 10845, 10483?\n\"Answer: 2*f**2 - 380*f + 12333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5658, 17033, 34124, 56931?\n\"Answer: 2858*p**2 + 2801*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 4:49 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4310*a + 4310*a + 3*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 426 - 291. Let z be ((-30)\/l)\/(2\/12). Is 0 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (7 + (-7 - (1 + -3))) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -18, 1, 20, 39, 58?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -27 (b) 4 (c) -3 (d) 13\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 - -85. Put b, 1, -10 in decreasing order.\nAnswer: b, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/153, -3\/5, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43516688 to the power of 1\/2, to the nearest integer?\nAnswer: 6597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-824688118399\nAnswer: -824688118398.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**5\/60 + 5*s**4\/24 - 25*s**2. Let y be u(-6). Let v be y - 1\/((-1)\/(-5)). Which is greater: 3\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 629 = 13*i. Let h = i + -45. Let l(n) = -4*n - 4. Let v(p) = p + 1. Let g(m) = l(m) + 5*v(m). Let f(o) = -o**2 + 6*o + 6. Calculate h*g(c) - f(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23435 by -6.\nAnswer: 23435\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 9 - (-15 + -14 + (9 - -65))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wykywkkkfz. What is prob of picking 1 f and 1 y?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**6\/90 - 5*m**4\/36 + 2*m**2\/3 + 47*m. Solve c(q) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + k + 1. Let u(f) = -2*f**3 - f**2 - 2*f. Let t(l) = 3*j(l) - u(l). Find i, given that t(i) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 30. Let s be d(6). Suppose 2*p + s = -4*c + 6*p, -c - 8 = -2*p. Suppose 2*r = v - 16, -r = 4*v - c*v - 22. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2166507?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 4*g**2 - g. What is w(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 7517 - 7473 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -537, -1\/4, -2, -5 in descending order.\nAnswer: -1\/4, -2, -5, -537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74447555*d - 23040228.\nAnswer: -74447555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 4*u**2 - u + 5. Let c be v(4). Let d(b) = 2*b**2 - 3*b + 3. Let r be d(c). Solve r*l + 7 = -1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 22*t - 80. Let y(f) = f**3 - 10*f**2 + 17*f - 10. Let z be y(t). Let p = 6.3 + -6. Which is the closest to p? (a) 2 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5366533530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 212, 820, 0.1, 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07299256 + 0.073. What is d rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -6726.2621\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 1732 + 1732.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 261 = -3*f. Let z = -71 + f. Let q(u) = -u**3 - 4*u**2 + 3*u + 2. What is the lowest common multiple of q(-5) and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - f + 7. Let t(m) = -10*m**2 - 2*m + 28. Give 3*s(k) - t(k).\nAnswer: 7*k**2 - k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.374 - -19?\nAnswer: 25.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a gram in milligrams?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 6*o**2 + o - 5. Suppose 10 = -0*c - 2*c. Let i be s(c). Suppose -22*u = -17*u - i. Calculate the smallest common multiple of u and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2. Let r(m) = 185*m**2 - 25. Let g(t) = -462*t**2 + 60. Let f(s) = -5*g(s) - 12*r(s). Give d(f(b)).\nAnswer: -8100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/29))**(-2\/175) assuming a is positive.\nAnswer: a**(4\/5075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827856 is divided by 529.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 - -54310342?\nAnswer: 54310424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -18*u + 40. Calculate s(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**4\/3 - 13690*r**3\/3 + 13694*r**2\/3 + 13690*r\/3 - 4564 = 0. What is r?\nAnswer: -6846, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 186593280 divided by -4?\nAnswer: -46648320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6378 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4))\/((-1)\/16). Suppose -v = -r - 3*o - 1, -2*r + 5*o - 19 = 0. Let t(d) = 4*d + 1. Determine t(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, f: 4, x: 4}. Give prob of sequence fxx.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1328 = 426*z - 188*z - 1290 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5652372*g**2*r**6 + 4*g**2*r**2 + 18*g**2*r + 404*r**2 wrt r?\nAnswer: -678284640*g**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19435 and 53416675?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 107322917 and 1150916.\nAnswer: 429291668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + -514?\nAnswer: -4a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 1540 = 62*i + 3*i. Solve 17*p - 15 = i*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) - (-3*sqrt(120) + sqrt(120))) + sqrt(120))\/sqrt(3))\/(sqrt(32)\/sqrt(4)*4).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*1\/12)\/(2\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**2 + 8*p + 10. Let x be t(2). Suppose -5*w + 4*h + 2225 = 0, -1338 = -3*w - x*h + 29. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g. Let w(d) = -67*d**2 + 5*d + 15. Let p(b) = -101*b**2 + 8*b + 24. Let q(c) = 5*p(c) - 8*w(c). What is l(q(y))?\nAnswer: 217*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.7+1555819455702\nAnswer: 1555819455701.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + i - 48 + 39, -3*w = -2*i - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19536.8209 - 19536. Let f = -0.772 + t. Round f to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (96\/300)\/(2\/5). Factor -2\/5*u**5 + 0*u - 2\/5*u**3 + b*u**4 + 0 + 0*u**2.\nAnswer: -2*u**3*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44*-118\nAnswer: -5192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3602?\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 - 14*g + 41. What is the remainder when 131 is divided by c(4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*-2 - -4. Suppose -4*h + 4*j = -h + 22, c*h + 4*j = -14. Let b(z) = -z. What is b(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = -27*x + 19*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 6:38 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 10*y + 1. Let l be u(-10). Let q = 4 - l. Suppose -q*g = -2*g - 1130. What is g rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-14)\/12 - (-527)\/102. Let w(u) = -u + 6 - 5 + 7. Let m be w(z). Solve -m*t + 12 = -0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -21. Let s(b) = -2*b**2 + 15*b - 3. Give s(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/3)\/(5\/(-30)). Suppose 0 = 5*n + 81 + w. Is 34 a factor of (-4)\/(18\/9 - (-36)\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4\/6 - 15717*s**3\/2 - 185244483*s**2\/2 + 556157853*s\/2 + 1667624787 = 0. What is s?\nAnswer: -23577, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*((sqrt(196)\/sqrt(4))\/sqrt(7) + 2))**2.\nAnswer: 12*sqrt(7) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/28)\/((-3)\/(-7))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 60.3. Let j = -2.3 + h. Is 0.2 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*(sqrt(7) - ((sqrt(7) - (sqrt(7) + 0 + sqrt(7) + -4)**2) + sqrt(7))).\nAnswer: -408*sqrt(7) + 1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (227\/2043)\/(10\/18). Let h = -21 - -21.1. Sort 4, l, -8, h in increasing order.\nAnswer: -8, h, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.64 + -8.44. Let h = 632\/477 - -4\/477. Which is the closest to 0.1? (a) 3 (b) -0.3 (c) h (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - -36?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**4 + 12*i**2 - 30 + 55 + 14*i**2 - 26 as a*i**4 + t + k*i + u*i**3 + v*i**2 and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and -10*12\/30*-10?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1442 and 83\/98.\nAnswer: 10094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -108 + 103. Sort 4, -1, 0, d.\nAnswer: d, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22220311 (base 4) to base 12\nAnswer: -21271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 16 = 3*u + 6*d, 4*u = d + 17. Let v(n) = 2 + 3*n + 0*n**2 + 2 - 4*n**2. Let o(w) = -7*w**2 + 5*w + 7. What is u*o(j) - 5*v(j)?\nAnswer: -j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5 = 21. Let p be 2\/(f + -3 - 15). Which is the smallest value? (a) 0.3 (b) p (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 29 = 27 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.9 from -4421.\nAnswer: -4431.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w - 3. Let m(p) = p**3 - 14*p**2 + 40*p + 11. Let i be m(10). Let h(k) = k**3 - 6*k**2 + 5. Let n be h(6). Let v = i - n. Determine d(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1844\/(-6))\/(56\/4452 + (1 - 1)). Round q to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 4*l**2 + 5*l**2)*(-471*l**3 - 506*l**3 - 606*l**3 - 2112*l**3).\nAnswer: 7390*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*t + 129257 = 0, 186*j - 215425 = 181*j + 4*t. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -265*a**5*i + 88824*a**5 - 3352641*a**2*i - a - 3 wrt a?\nAnswer: -15900*a**2*i + 5329440*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 + 44*k + 19. Let u be o(15). Suppose 2*t + 1572 = 5*x, 3*x = u*x + 5*t - 309. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6167 + 6167 + t**3 + t**3 - 342*t**2 - 3*t - 640*t**2 to the form s + l*t + h*t**2 + b*t**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 5\/22, -1, -15.7, 0.2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.57? (a) 3\/11 (b) -49 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3540159.3 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495) - (sqrt(495) + 3*sqrt(495)) - 6*sqrt(220)\/sqrt(4))\/(3*sqrt(605)*-6*-4).\nAnswer: -5*sqrt(11)\/264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 174 = -4*j, -3*j + 50*s = 49*s - 111. Calculate the remainder when 583 is divided by j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 47*o - 52*o + 9*g, -4*o + 4*g = 16. Let x = -2\/91 - 85\/273. What is the smallest value in 7, x, o, -3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23095 (base 11) to base 5\nAnswer: 2032004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-84)\/(-15))\/2*420\/84)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 5*r. Let k(j) = -j**3 - 3*j**2 - 2*j + 53. Calculate the remainder when k(0) is divided by m(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 164.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + h + 102*h**2 + h**2 - 11*h**2)*(-2 + 1 - 1)*(2*h - h + h).\nAnswer: -368*h**3 - 4*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/180 and 91\/26706?\nAnswer: 801180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2199, 0, -36, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) - (-3 + sqrt(242) + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 12:47 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b - 15. Let p(h) = 7*h - 14. Let f(s) = -4*p(s) + 3*y(s). Let k(x) = -x + 3. Calculate -6*f(q) + 22*k(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -50*u - 104*u - u**2 - 104*u - 66 + 202*u. What is the units digit of q(-47)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3420 + -3401. Solve 4*l + 2*i - 1 + c = 0, -5*l - 4*i - 24 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1715690307?\nAnswer: 3, 571896769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -132, -6353 in ascending order.\nAnswer: -6353, -132, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46170570?\nAnswer: 2, 3, 5, 19, 81001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**2 + 15*u + 15. Let z(i) = -i**2 + i + 1. Let l(k) = 3*y(k) - 45*z(k). Let b(o) be the first derivative of o**2 - 12. Determine l(b(r)).\nAnswer: 108*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 36*b + 32*b - 66*b. Let u(l) = -5*l**2. Give u(x(j)).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p - 23*p - 20 + 12*p. Calculate z(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21054097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooootooggtoeoggto. Give prob of sequence ogoe.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from {x: 3, m: 1, s: 2, g: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 + 564. Let x = -590.7 + l. Let f = -48 + x. Which is the closest to -2? (a) -1\/10 (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364607373 a multiple of 925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 892650 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 7 = 4*r - c, 17 = 2*r - 5*c. Is r greater than 1\/348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 + 131. Let y = 101\/34 - 8\/17. What is the second biggest value in 3, y, -3, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/42 and -7\/34038.\nAnswer: 238266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (35 - 3220\/84)*1\/4*6. Sort 48, c, -4, -6 in descending order.\nAnswer: 48, -4, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 = -5*n, -6*c = -4*n - 3*c + 25. Solve 2*d - 3 = n*l + 1, -4*l = d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(2\/3)*v)\/v*v*v**(-19\/6))**(10\/17) assuming v is positive.\nAnswer: v**(-5\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 + 93. Let t = -762 - -44959\/59. Let i = t - 181\/236. Sort 2\/9, a, i.\nAnswer: a, i, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/20)\/((-1)\/(-4)). What is the third derivative of -17 + 34*c**4 + 3*c**2 - 12*c**4 - 13*c**4 - 21*c**4 + c**p wrt c?\nAnswer: 120*c**3 - 288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**4*s**3 + 6*l**4*s*t - l**3*t + 11*l**2*s**3 + 4*s**3 - 6*s*t wrt l.\nAnswer: -48*l*s**3 + 144*l*s*t - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -18704*i. Let w(g) = -43637*g. Give w(p(h)).\nAnswer: 816186448*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/12)\/((-3)\/38). Let c = s - 17. Suppose 28*w - 32*w + 3*w**3 + 4*w**2 - 6*w**c - w**3 = 0. What is w?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -4*h + 1990 - 2007, 6*h = -s - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290742 divided by -471.\nAnswer: -96914\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 14 - 32 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 3. Suppose -2*s + 17 = 3. Calculate the remainder when f is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -26*h + 109. Let n be c(-15). What is the third derivative of -3*z**2 - 18*z**3 + 482*z + 0*z**4 - n*z - 2*z**4 wrt z?\nAnswer: -48*z - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 12:51 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/138 < 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 95*z**2 - 7*z + 2. Let d(m) = -94*m**2 + 8*m - 2. Let l(t) = 4*d(t) + 5*i(t). Let k be l(1). Suppose k = -4*j + 242. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 109252208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333 + 21?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90 + 90. Suppose 2*j = l - 1, b*j = -j - 2*l + 12. Solve j*u - 13 = 5*n + 5, -n - 5 = u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416648059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 1. Let v be r(2). Suppose -5*q - 4*l + 42 = 0, 9*q - 4*l - 38 = 6*q. Suppose -q*p + 5*p - 25 = 0. Put v, p, -4 in increasing order.\nAnswer: p, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0872 and -0.2?\nAnswer: -0.01744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2560 and 66020.\nAnswer: 8450560","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -46.4 from -33053.\nAnswer: -33006.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.29, -5, 0, -1\/5 in descending order.\nAnswer: 0.29, 0, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**3\/3 + 3*c**2 - 4*c - 1. Let a be y(4). Let d**2 + 2*d - 13*d - 27 - 7*d - a*d**2 = 0. Calculate d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 453*z**2 - 224*z**2 - 231*z**2. Let c(i) be the first derivative of -3\/2*i**2 + 0*i - 1. Give l(c(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19293473 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 9*h - 7. Let a be k(-10). Let f be 2\/(-1 - -2 - a). Let r(s) = -1. Let z(i) = 2*i + 3. Give f*z(w) - 3*r(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 3, d: 2, v: 12}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 1:49 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -6, -s + 2*p = -5*s + 10. Let a = 9 - 6. Put 0, s, a in increasing order.\nAnswer: 0, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Let v(q) be the first derivative of 2*q**2 - 2*q + 271. Calculate v(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/216 and 813\/108 + -7 + 0?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 0 + 1 - y**3.\nAnswer: -8*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 213863 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = t + 91 + 49, 4*m + 2*t - 530 = 0. Let v = m - 124. Calculate the remainder when 21 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/(-153) + 76\/18. Suppose -y*p = 2 - 18. Suppose -p*m = -m - 132. What is the remainder when m is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 28 = 20. Solve 0 = 2*j + 3*r + r - 18, -p*r + 15 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -481, -980, -1479, -1978?\nAnswer: -2477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*c + 60 - 16 - 20 - 12.\nAnswer: 123*c + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-12)*(-1)\/14*-6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56161.25mg in tonnes?\nAnswer: 0.00005616125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3775757 to the nearest integer?\nAnswer: 1943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3029 and 40542.\nAnswer: 527046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.2. Which is the nearest to 2\/11? (a) k (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -84, 10.839, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 367 and 861.\nAnswer: 315987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 12*p + 345. What is the tens digit of c(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 43697 + 4*k - 43687 + 2*k - 5*k. Let x(c) = 7*c - 5. Let a(s) = -10*s + 7. Let p(v) = -5*a(v) - 7*x(v). Calculate p(f(w)).\nAnswer: 3*w + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + c**2 + c. Let t(n) = -n**3 + 14*n**2 - 48*n - 2. Let z be t(6). Determine d(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/44 and 15\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-12)\/36*(3 - (-32)\/(-12)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 70\/9, 13457, 97?\nAnswer: 70\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20340215 + 5003?\nAnswer: -20331212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 82, 65, 28, -35, -130?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.4 - -32. Put 0.034, i, 0.4 in ascending order.\nAnswer: i, 0.034, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + s + 10 = 0, 4*u + 4*s - 10 = -2. Let z(b) = b**2 - 39*b - 39. Let t be z(40). Solve r + u = t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 6*d + 4*d)*(0*d + 0*d + d) + d**2 + 1 - 1 + 2*d**2 + 0 + 0 + (2*d - 2*d + d)*(0 - d + 0) + 13*d + 12*d**2 - 13*d + 0*d**2 + 2*d**2 - 4*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1576107*s**3 + 18343*s - 4 wrt s.\nAnswer: 9456642*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 + 5 + 4*m**2 - 1 - 9 - 6*m**2.\nAnswer: -2*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r - 121 + 3*r**2 + 127 - 4*r**2. Let f(w) = 2*w + 5. Let a be f(-5). Calculate p(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -6*c - 14, -39*c + 42*c = -4*o - 23 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -158138, -0.1, 0.3, -2, 11?\nAnswer: -158138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 - 4008*d + 36314. Calculate s(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -1 - (-26 + 24) - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 31 = 5*y, -6*c + 0*c + 5*c + 20*y = 108 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**7\/6720 + w**6\/960 + w**5\/960 - w**4\/64 - w**3 - 11*w**2. Let f(i) be the first derivative of d(i). Factor f(b).\nAnswer: -(b - 3)*(b - 1)*(b + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*x - 2*x**2 + 17 - 4*x - 15*x - 2*x + 9*x to the form q + i*x + g*x**2 and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/10 + 510\/(-12). Let b = 3 + 44. Let q = n + b. Solve -q*a + 3 - 6 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 50 = -3*b, -k + 1504*b - 1501*b + 49 = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 + -90. Solve -3*x = -y + 4*y - 21, 10 = q*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107728983917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 11 + 21 - 11 - 1.\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 0 + 5*g**2 + 1\/2*g**3 + 0*g - 1\/60*g**5 - 1\/8*g**4. Give l(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1029587 (base 11) in base 4?\nAnswer: -12322300102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -58*o**3 - o**2 + 7*o - 7. Is g(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) + sqrt(972)*-3 - sqrt(972)) + sqrt(12))\/(2*sqrt(196)) + (-5*(sqrt(432) - 1*sqrt(432)) - (-3*sqrt(432) + -4)).\nAnswer: 4 + 239*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/((-4)\/80*2). Suppose -10 = 3*s - 8*s. Put u, s, 5 in increasing order.\nAnswer: u, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/4860 and -77\/58635.\nAnswer: 6332580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12810 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141 + -136. Let f(k) = 2*k - 4. What is f(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-3 - -2 - -2 - 7) - -35644 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.61281 millennia to centuries.\nAnswer: 46.1281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48\/(-5) - 6\/15. Let r(n) = 2*n**2 - n - 1. Let o be r(3). Let j = x + o. Solve 4 = -4*u - j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 207*k**4 + 208*k. Let p(a) = -103*a**4 - 104*a. Let r(v) = -5*p(v) - 2*w(v). Find the second derivative of r(m) wrt m.\nAnswer: 1212*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -323*r**3 + 14*r**2 + 7*r - 900. Let o(c) = -215*c**3 + 10*c**2 + 5*c - 600. Let m(n) = -5*i(n) + 7*o(n). Differentiate m(j) wrt j.\nAnswer: 330*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6)*(-18)\/6. Let p(c) = 7*c**2 + 2*c. Let x(w) = -w**2 - 2*w. Let i(q) = j*p(q) - 6*x(q). Let g(o) = o. Determine g(i(b)).\nAnswer: -b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/117312 and 155\/71988?\nAnswer: 703754688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 + 9*f + 9. Let z(j) = j**3 + 7*j**2 - 2*j - 16. Let k be z(-7). Let d(x) = -x**2 - 2*x - 2. Give k*r(w) - 9*d(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1210757 to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-784)\/(-77) - 10) + (-2)\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:28 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 3990*r**2 - 715255*r - 719250.\nAnswer: -5*(r - 525)*(r - 274)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 - -140. Let b(v) = -v**2 + v. Let j(x) = 3*x**2 + 2*x. Determine n*j(k) + b(k).\nAnswer: 2*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242679 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7620502 - -16?\nAnswer: 7620520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2, -0.3, 0.3, -3, 2\/1519 in increasing order.\nAnswer: -3, -2, -0.3, 2\/1519, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13569\/35279 + 389486416\/189977415. Let o = 2\/1795 + r. What is b in -4\/3*b**4 + o*b - 4\/3*b**3 + 2\/3*b**2 + 2\/3 - 1\/3*b**5 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2534 = -11*m + 7209. List the prime factors of m.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*q**3 + 5*q**3 - 8*q**3 + (q**2 + 2*q - 2*q)*(-194 + 155*q + 194) + (-1 - 1 + 0)*(q**3 + q**2 - q**2).\nAnswer: 160*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 22*u**2 + 3*u + 2. Let r = 5 - -11. Suppose 9 = -d - 2*m, -5*m - r + 1 = -5*d. Is j(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9264 - 9270. Which is the nearest to -17? (a) -5 (b) 3 (c) 1\/9 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 + 6*l**2 - l. Determine f(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**4\/6 - 3*x**3 - 4*x**2 + 3*x. Let z be c(-8). Solve -3*t = 4*p - 2 + 1, 2*p + 4*t - z = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3085740 is divided by 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 (base 13) in base 6?\nAnswer: -2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 7830 = 18*y - 33*y. Does 27 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2230 - 3?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 6*w**2 + 9*w + 17. What is the remainder when z(7) is divided by 70?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7580, 28845, 64288, 113909?\n\"Answer: 7089*d**2 - 2*d + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56811, -4, -66 in ascending order.\nAnswer: -66, -4, 56811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10333515 + -1114?\nAnswer: -10335033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 112\/24 + 2\/(-3). Solve -4*q + w = q - 10, -5*q + 10 = -i*w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5721 * -11529\nAnswer: 65957409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydm when three letters picked without replacement from {d: 1, m: 6, r: 6, y: 4}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.9 + 3. Let x = 34 - 33.6. What is the nearest to a in 5, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/43615 and 63\/286?\nAnswer: 87230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99163\/4 - 24756. Which is the second biggest value? (a) 3\/4 (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166289117 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -7*s + 10. Suppose -s = 4*b - 98. What is the remainder when 3\/(-2)*284\/(-6) is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.3, -4122144 in descending order.\nAnswer: 1, -0.3, -4122144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2299)\/(-99) + 2\/(-9). Let x(r) = 60*r**3 + 1 + 42*r + s*r**2 + 5 - 59*r**3. Let t be x(-21). Solve -j = -4, 0 = -2*q + 2*j - 5*j + t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 7*w + 11. What is d(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.26 - -1.04. Which is smaller: q or -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4551212 - 1516916 = 68*l. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1465*g - 1680. Let n(s) = 122*s - 140. Let u(v) = 70*n(v) - 6*x(v). Let o(f) = -28*f + 31. Let c(d) = -35*o(d) + 4*u(d). Is 23 a factor of c(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*y**5\/13 - 144*y**4 + 12612*y**3\/13 + 66184*y**2\/13 - 266*y\/13 - 141512\/13 = 0.\nAnswer: -7\/3, 4\/3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 22 = 2*s, -14 = -0*d - 2*d - 4*s. Solve 4*f - z - 19 = 0, d*f - z - 4*z - 35 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from dddxxfdxdffxxddd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2030288 - 141835222\nAnswer: -139804934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 5:44 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-8)*8\/(-7). Let v = -6\/17 - -76\/119. What is the closest to v in -0.5, -3, j, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.9, -245668, 1 in ascending order.\nAnswer: -245668, -0.9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106563\/7 - 80349041\/5278. What is the common denominator of 131\/696 and l?\nAnswer: 9048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m**2 - 6*m + 6. Let i(b) = -6*b**2 + 5*b - 5. Let g = 24 - 29. Determine g*q(w) - 6*i(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19199763 divided by -1.\nAnswer: 19199763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -1152?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.019097 + 0\nAnswer: -0.019097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 17*z - 36. Suppose 41 = -4*j + u, -6*j + 5*j = -2*u + 19. What is the units digit of i(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * -32916.\nAnswer: 3949.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1308064*q**3*s**2 + 7*q**3*s + 15453*s wrt s?\nAnswer: -2616128*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/660 and 35\/5412.\nAnswer: 27060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1500 = 14*h - 2*h. Let c = h - -100. Is (2333\/6)\/(c\/(-150)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1376 by -2171.\nAnswer: -1376\/2171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52\/11 + -342\/77. Let g = -0.17 + -0.07. Let k = g - -0.09. What is the nearest to c in k, -2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 3. Let l(x) = -15*x - 25. Let q(w) = 25*j(w) - 3*l(w). Let b be q(3). Let t be b\/60 - (-2)\/8. Solve -3*f - 9 + t = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 + 484236*q. Let t(n) = -n**2. Calculate r(t(k)).\nAnswer: 3*k**4 - 484236*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdfddfffq. Give prob of picking 1 f, 1 d, and 1 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 5)*(-274 + 269 - 3*m + 2*m)*(83 - 83 + 18*m) in the form p + i*m**2 + l*m and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125765*t**2 + 18915*t**2 - 74888*t**2.\nAnswer: -181738*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4\/6 - 38*d**3\/3 + 683*d**2\/3 + 494*d + 507\/2 = 0.\nAnswer: -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 172 + -156 - (-8 + (3 - 0)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 greater than or equal to -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 2\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2083.48 to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 64, 181, 372, 643, 1000, 1449, 1996, 2647?\n\"Answer: a**3 + 31*a**2 + 17*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1172, 1710, 2264, 2834, 3420?\n\"Answer: 8*v**2 + 514*v + 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -57. Let t = 43.4 + r. Let y be 2\/6*-1 + 1. What is the nearest to y in 0, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ullulnvuliu. Give prob of sequence in.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -10, -7, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -20. Let l(a) = -a**2 + a + 42. What is the remainder when l(0) is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = -2*c, 7*c = -4*k + 19*c + 28. Put -9, -1, 0, k in ascending order.\nAnswer: -9, -1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13282581 (base 9) to base 14\nAnswer: c26d5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -467 + 480. Solve -2*d + 2*n = d - y, -n - 2 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 49820 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (142 + -156)*(-4)\/14. Suppose -b = 3*b - 12. Solve z*a = -m + 5, -3*a + 5 = b*m - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i**2 + 3*i. Let u(t) = t**2 - 4*t + 2. Let r be u(5). Let m(f) = -12*f**2 - 50*f + 139*f - 48*f - 46*f. Let v(g) = r*o(g) + 5*m(g). Factor v(k).\nAnswer: -4*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 5*g - 10. Let r(q) = q**3 + 7. Let i be r(0). Let m be w(i). Which is the smallest value? (a) 1\/6 (b) m (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 42*t + 21. Let p be j(7). Suppose -u - 100 = -p. Calculate the lowest common multiple of u and 6.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15068 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 y be 128 + -121 + 0 + 26. Solve 8 = -y*o + 25*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05238 + -0.0510294. Round c to 5 dps.\nAnswer: 0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 14010*w + 1232866. Calculate i(-88).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t + 2. Let d = 1 + 3. Let w = 3 - d. Let k(y) = y**2 + 1. Let q(u) = w*m(u) - k(u). What is q(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*u + 28, 2*u + 2*u = 4*l + 8. Solve -4*o = -3*v - 5, u*o + v - 5*v = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075553619 minus 3088258?\nAnswer: -3088257.924446381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 7:46 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 2*z - 6. Let p(y) = 6*y**2 + 29*y + 34. What is 4*n(v) + p(v)?\nAnswer: 2*v**2 + 21*v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 11:00 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 605*w + 11036. Calculate b(-20).\nAnswer: -1064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 22 (c) 9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*a - 1. Let j be ((-24)\/10)\/((-6)\/40). Let g be (a + 0)\/((-4)\/j). Solve -3*w - 12 = -5*q, -4*w - 20 = g*q - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50036737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukhhkke. Give prob of sequence kek.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 16 = 2*m, 0*q - 2*q - 3*m + 32 = 0. Let p = -1389 + 1425. Suppose -5*u = 3*s - 55, 2*u + q = -s + p. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**2\/2 - 38*w + 3703. Calculate y(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m - 52*m = -522 + 4294 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -3\/2, -40, 4, -3 in increasing order.\nAnswer: -40, -3, -3\/2, -1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8913372 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0*d + d, -5*d + 50 = 5*b. Find the third derivative of 16*j**2 - 6*j**5 + 0 + b*j**6 + 22*j**2 + 0 wrt j.\nAnswer: 600*j**3 - 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**3 - 3*m**2 - 2*m + 5. Let l be j(1). Suppose 0 = -7*t + 2*t. Solve 0*r + 2*x = -r, t = -l*r - x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 99986 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = 543*b + 2759 + 4391 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -876.99 to 0 decimal places.\nAnswer: -877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 795 = -375. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32560*1.\nAnswer: 32560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 + 68*u - 787. What is the units digit of s(-45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12790 and 10232.\nAnswer: 51160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 7:20 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126.0386 - 0.0386. Let y = 125.9999516 - i. What is y rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-20)*40\/(-140)*1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*w - 1 + 3 - 185*w.\nAnswer: -7*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29949560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j - 896. Let d be a(128). Solve 0 = 4*n + 5*v - 9 - d, -3*v + 3 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 139278*f**3 + 2502*f**2 + 834*f - 2502. Let r(t) = 834*t**3 + 15*t**2 + 5*t - 15. What is 5*h(n) - 834*r(n)?\nAnswer: 834*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 8*n**2 - n + 6. Let y be d(8). Let x be 8*1\/y + 6. Suppose 1070 = 7*r - x*r - o, o = r - 210. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-64)\/(-11) + (-4)\/(-22). Let g(r) = 64 + r + 2*r**2 - 71 - r**2. What is the units digit of g(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*o**2 + 12*o + 216.\nAnswer: (o + 36)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 6*k**2 + 4*k - 2. Give x(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*m + 3596 = 502 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1 + sqrt(612) + sqrt(612))**2*6 + ((-2*sqrt(612) + -1 + sqrt(612))**2 - sqrt(612))) - 1*(sqrt(612)*-3*4 + sqrt(612))**2*6.\nAnswer: -429005 - 138*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49592\/387 or -127?\nAnswer: -49592\/387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + j + j + (1 + 4 - 4)*(5*j + j - 5*j) - 3*j - j + 6*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35164.319 rounded to the nearest one hundred?\nAnswer: 35200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 6 (c) -43 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4322?\nAnswer: 2, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 5*j - 0*j. Let h = j + -46. Let y be 5\/((h - -4)\/(-2)). Solve -4*r - 5 + 4 = -y*p, -4*p = r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 679130?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*h**3 + 42*h**2 - 4176*h wrt h?\nAnswer: -102*h + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.91 + 0.909991. Round h to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 146.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 0 + (-86)\/26. Let w = r + 77\/39. Let n be (3\/2)\/(60\/(-40)). Which is the biggest value? (a) w (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66119281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 7:55 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 28*n**2 + 124*n - 29. Is b(26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + 51\/2)\/((-217)\/2).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8.522 times -0.1\nAnswer: -0.8522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 41*u + 75 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**2 + 12*z + 32. Let h(g) = 11*g**2 - 27*g - 63. Determine -7*c(j) - 3*h(j).\nAnswer: 2*j**2 - 3*j - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5684*t + 5687*t - 63 = -4*w, 0 = 38*t - w + 132 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 - 132600*r**3 + 663100*r**2.\nAnswer: -4*r**2*(r - 5)*(r + 33155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2386614 and 96?\nAnswer: 38185824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + ((-110)\/(-15))\/((-13)\/(-21))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.015 (b) 0 (c) -6\/11 (d) -0.4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5260 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2475634 and 3395.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/13)\/i**(-5))**5\/((i*i**(-1)\/i)\/i**(1\/5)*i\/(i*i*i*i\/i**(-6))*i*i\/i**(2\/3)) assuming i is positive.\nAnswer: i**(6454\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -775 - -4663\/6. What is the common denominator of 125\/6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*s - l - 308, 5*l + 10 = 0. Let h be (s\/14)\/(-3) - -2. Let r = -1232 - -1242. Put r, h, 0, -0.2 in increasing order.\nAnswer: -0.2, 0, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2626203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.12 (c) -5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 23*w + 111. Let g be d(-14). Let n be g\/6 - 7\/((-14)\/10). Solve 5\/2 - 5\/2*t**3 + 5\/2*t - n*t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 7*t**2 + 9*t + 8. Let l be i(-8). Let k be (8\/78)\/(4\/(-6)). Which is bigger: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -8.8. Let g = 1.3 + u. Let q = 0.5 - g. What is the third smallest value in -11\/3, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16728*u = 16713*u + 60. What is the closest to u in 5, -1, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -7329?\nAnswer: -4\/7329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7321343 less than -12527?\nAnswer: -12526.2678657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -158086075.4 rounded to the nearest 1000000?\nAnswer: -158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 50 = 3*p, u + 8 = 3*u. Let y(f) = f**3 - 15*f**2 + 17*f - 29. Calculate the remainder when p is divided by y(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 27*h. Let n be l(-1). Let j = -12 - n. Suppose -8 = -p + j. Calculate the greatest common divisor of p and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23500, -24293, -25084, -25873?\n\"Answer: g**2 - 796*g - 22705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18522 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b73b (base 12) to base 10.\nAnswer: -206687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -15. Which is bigger: -4 or z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 893.832 weeks?\nAnswer: 540589593.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-345)\/335 - 1. Is -1 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2885, 5810, 8829, 11978, 15293, 18810, 22565?\n\"Answer: 6*z**3 + 11*z**2 + 2850*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -62*d**4 + 7*d**2 + 36*d. Let c(a) = 31*a**4 - 4*a**2 - 18*a. Let u(o) = 7*c(o) + 4*y(o). What is the second derivative of u(k) wrt k?\nAnswer: -372*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2520\/25)\/7 - 2\/5. Let k be (-2 - 0)\/(v\/119). Let r = 17 + k. Solve 3*o + o + 8 = r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/11 + 46*g\/11 - 48\/11 = 0. What is g?\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 18 = 2*o + 7, -16 = -4*o + 4*c. Solve 2 = -p + o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4915\/20*(-5 + 3). Let n = p - -473. Find the common denominator of -34\/7 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -979\nAnswer: 3\/979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - -0.12. Let x = 0.73 - o. Let z = x + -0.650033. Round z to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 17*u**4\/12 - 3*u**3 - 29*u. What is the second derivative of d(s) wrt s?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 1.9. Let u = -18 + 17.5. Let j = -0.2 - -1.2. What is the closest to -2\/5 in u, j, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8)*(-18)\/27?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -212 (c) 1\/4 (d) 0 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**1\/t)\/t**3)**40)**(-1\/9) assuming t is positive.\nAnswer: t**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*h + 780 = -158*h + 93*h. Let b = -94 + 52. Calculate the remainder when ((-8)\/6)\/(1\/b) is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 107*w**3 - w - 3*w + 4*w + 151 - 245 wrt w?\nAnswer: 321*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Find the second derivative of 2*h - h - 7*h**2 + h**b + 3*h**2 wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46452*w - 72212*w + 63199*w - 76150*w.\nAnswer: -131615*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2471 and 153519347?\nAnswer: 1074635429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000035686 to six dps.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4946025 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-68)\/(-7) - (-8)\/28. Let h = 18 + -16. Solve -4*o + 2*o = -h*z - 10, 0 = 2*z - 5*o + g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 306 + 301 - 11*o - 2*o - 590 in the form y + d*o and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - -15.6. Let c = i - 14.9947. Round c to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 155*x**3\/3 + 78*x**2 + 33. Find the second derivative of t(o) wrt o.\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186*-0.2\nAnswer: 37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + (-32375)\/407 + 85.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2968135229.\nAnswer: 547, 5426207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 3. Determine l(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*n - 955*n + 31785 = 12442 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 11 (b) 2\/7 (c) -1\/7 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90*b**4*i**3 - 140505*b**4 + 25*b*i**3 - 47*b*i**2 + b + 59*i**3 + 7*i**2 wrt b.\nAnswer: -1080*b**2*i**3 - 1686060*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3172 - 19c05?\nAnswer: -16a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(10)*-2*-4) - ((sqrt(24) + sqrt(6))\/sqrt(2) - -6*2*sqrt(3)))**2 + ((2*sqrt(4752) + sqrt(4752))\/sqrt(11))**2*-6*3 + 1.\nAnswer: -4436429\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20088 and -2.\nAnswer: -40176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3000999?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336222 divided by -9.\nAnswer: 37358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -117138?\nAnswer: 117140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 31 = -q - 5*k, 5*k - 150 = -2*q. Factor -10 + 3*m - 70*m**2 - 3*m**3 + q*m**2 + 2*m - 2*m**3.\nAnswer: -5*(m - 2)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 811.504ng to kilograms.\nAnswer: 0.000000000811504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51778.543 + 53321. Let f = s - 1544. Let b = f + 1.48. Round b to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 599*g - 128 = 583*g. Let c(j) be the first derivative of 6 + 2*j**2 + g*j - 4\/3*j**3. Factor c(k).\nAnswer: -4*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 8:17 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -20.4.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -3 - -6) + -31. Let j = 51 + n. Calculate the remainder when 147 is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4747, -9041, -13335, -17629, -21923?\nAnswer: -26217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6715549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 750 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1543*q = 1534*q + 776637. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (27*(-11)\/(-1188))\/((-2)\/40). Which is the smallest value? (a) -0.32 (b) v (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**5\/60 - d**4\/4 + 7*d**3\/6 + 1560*d**2. Suppose -2*w - 9 = -2*s - 3, 42 = -5*w - 4*s. What is x(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312186?\nAnswer: 2, 3, 7, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -962 - -1578. List the prime factors of w.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5 + 11. Suppose 6*h - 23 = -4*f + h, 0 = i*f - 2*h. Solve 0 = -0*t - 2*t + f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 q, and 1 x when three letters picked without replacement from xqxxqjxxqxxjjjxqq?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752080?\nAnswer: 2, 5, 7, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4.1, -4\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 - 3 - 3 - (8 + (12 - 20 - 13))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/(-22))\/1*(-4)\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/240144 and 21\/20012.\nAnswer: 240144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1369 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000 + 0?\nAnswer: -111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 49*t**2 - 595*t - 76. What is l(-28)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 168, 404, 714, 1086, 1508, 1968?\nAnswer: 2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*b + 38*b - 63 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 340\/(-220)*-22 + -63\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(18) + sqrt(2178) + sqrt(2178) + sqrt(2178) + sqrt(2178) + sqrt(2178)*-1 + sqrt(2178)))\/(sqrt(66)\/(2*(sqrt(11) - sqrt(11)*2))))**2.\nAnswer: 97200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(48\/(-8))*(-3)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 5*z + 7*z + 2185*z**2.\nAnswer: 2185*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4610)\/(-70) + -2 - (-9 + 276\/28).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = o - 12, 0 = -19*c - 4*o + 6 - 36 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**4 + 13*f**2*m**2 - 46*f*m**3 - m**3 + 3588*m**2 + 1 with respect to f.\nAnswer: -4*f**3 + 26*f*m**2 - 46*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60160 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2 (c) 113 (d) -39 (e) -1\/150\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, 17, 37, 59?\n\"Answer: c**2 + 15*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -79. What is the units digit of -1*(a - -1) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -7. Suppose g - 8 = -t. Solve 4*z = 8 + g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9161364617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*6*2\/(-4). Let p = 1 - j. Let a(x) = -x + 7. Let o be a(6). Solve 4 = 4*w, -5*t - o = -p*w - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.495586*-0.2.\nAnswer: -0.0991172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -200?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2)*(-g - g + 4*g) + 20*g - 13*g + 19*g - 58*g + 102*g - 58*g + (4 - 2 - 1)*(0*g + 2*g - 3*g) to the form x + c*g and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-213694)\/24657*(-1)\/442?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 189551 - 58961 = -19*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(500)*2 - sqrt(500)) + sqrt(320)*2 + sqrt(320) + 0)*-4*2)**2.\nAnswer: 619520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1. Let m(p) = -43*p - 18. Let i(w) = b(w) + m(w). Is i(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-179370)\/(-15) - (-35)\/5. What is the second derivative of -217*z**3 - m*z + 12116*z + 1 - 1 wrt z?\nAnswer: -1302*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/25 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16397 + 16402. Let t(v) = -18*v + 5. Let u(q) = 18*q - 6. What is s*t(r) + 4*u(r)?\nAnswer: -18*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -5*g - 13. Suppose -2*a - 4*p = -g, -9 = -p - 2*p. Suppose 4*n - 6*c = -2*c + 4, -3*n = a*c - 23. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 33*h**2 - 53.\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:42 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9077\/9 + -344407\/342. Let c = a + -20\/57. Factor 7\/6*w**4 + 0 + 1\/3*w - c*w**2 - 1\/3*w**3.\nAnswer: w*(w - 1)*(w + 1)*(7*w - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**2\/8 + 33*s\/4 = 0.\nAnswer: 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -11, -16, -23?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, h: 6, t: 1, i: 3, w: 2, g: 2}. Give prob of picking 1 t and 2 i.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*22\/(-11) + (-4 - 2). What is the nearest to f in -3\/7, -1, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 0*x + 10*x**2 + 5\/24*x**4 + 0*x**3 + 0. Let b(g) be the second derivative of -g**4\/4 + 2*g. Calculate b(s(a)).\nAnswer: -75*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6*w)\/(w\/w**(-1\/5))*(w*w**(2\/9)*w)**40)**(-3\/20) assuming w is positive.\nAnswer: w**(-4261\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -119\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126 - 884\/7. Let r = -1427 + 1427.5. Which is the fourth smallest value? (a) r (b) -14 (c) l (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 3}. Give prob of sequence vi.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*k = -5*m - 227*k - 1157, 2*m + 17 = m - k for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25, -16, 7, 50, 119?\n\"Answer: b**3 + b**2 - b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-1815)\/(-18))\/(-55))\/(3\/18)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -100022020220 (base 4) in base 11?\nAnswer: -2433482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((16\/20)\/(-4)). Let f be (2\/(-6))\/(8\/(-120)). Let q(t) = t - 2. Let m be q(5). Put f, m, s in descending order.\nAnswer: f, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25355?\nAnswer: 5, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*w - 6. Let c = w - -3. What is the third derivative of 40*f**6 + f**4 - f**4 - 26*f**2 - 44*f**c wrt f?\nAnswer: -480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsse when four letters picked without replacement from gseseeesjgggjjjg?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/247479162 and 55\/497946?\nAnswer: 247479162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 51, 277, 885, 2067, 4015, 6921, 10977?\n\"Answer: 32*z**3 - z**2 + 5*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 410*g + 12485 + 1455 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 302078777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06594 - 0.36594. Sort -2\/9, -4, q, -20.5.\nAnswer: -20.5, -4, q, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -47*i**8\/336 + i**7\/70 + 1267*i**5\/30 - 1420*i**2. What is the third derivative of w(b) wrt b?\nAnswer: -2820*b**2 + 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 47\/4 of a milligram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**2 - 2*p + 1. Suppose 0 = o - 0 - 2. Calculate b(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*r - 4 = -3, -f + r = -1. Suppose 0 = d - f, 5*d - 3*d = k + 31. Let m = 45 - k. Calculate the greatest common factor of 28 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6 - 4*h + 7*h + 2*h + 4*h. Let g(m) = -8*m - 5. Determine 6*g(y) + 5*n(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**2 - 2*k + 3. Let p be y(2). Let a = p - -30. Is a greater than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 9:57 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5 - 6 + 0 - 2*d - 9*d**3. Suppose 0 = -0*t - 4*t - 4. Is r(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5 + 10*j**4 - 1015*j**3 - 1940*j**2 + 6860*j - 3920 = 0 for j.\nAnswer: -14, -4, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*q + 0 + 7*q + 3 - 5 as k*q + h and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 3 - 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + -2*sqrt(5)))**2*-5 + -2.\nAnswer: -3627 - 1500*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -164a + 3?\nAnswer: -1647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(1\/4)*m*m)\/m*m**(2\/11))\/((m\/m**(-2))\/(m*m**8)))\/((m**6*m)\/m**(-5)*m**7*m**(-5\/6)*m) assuming m is positive.\nAnswer: m**(-1417\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.52507 and -1.\nAnswer: 5.52507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, -7, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) - (sqrt(576) + sqrt(36))) + sqrt(36))\/sqrt(2))\/sqrt(9) + -2.\nAnswer: -3*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -377821 divided by 9\nAnswer: -377821\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 0*p - 3*p = 0, -d - 5*p = 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767484 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5104.69777 and 38?\nAnswer: 5066.69777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Let j(n) = n**3 + 2*n**2 - 10*n - 1. Let h be j(-4). Let c(w) = w**2 - 3*w - 27. Let o be c(h). Put t, 0, o in descending order.\nAnswer: t, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 - 435?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -43340603 (base 7) to base 10\nAnswer: -3707441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11231, -13546, -15861, -18176, -20491?\n\"Answer: -2315*p - 8916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x = 25. Suppose 2*y + x*z + 16 = 8, 5*z + 15 = 5*y. Solve -g - 1 = y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 4) to base 15\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*z, -s + 469 - 4 = -5*z. Let j = s + -302. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**5\/60 - m**4\/4 - m**3 + m**2. Let w be a(-6). What is the least common multiple of (7 + w)\/((-1)\/(-14)) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 50806.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.187 + -0.013. Put 4\/3, -2\/3, a in descending order.\nAnswer: 4\/3, a, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 11. Let z be 6\/15 + 3\/(-18)*2. What is the nearest to -0.1 in a, z, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s**2 + 1511*s + 17665. What is v(162)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*v + 1225 = -4128, -2*y = -2*v - 2676. Calculate the remainder when y is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 256*m - 3038 - 4839 - 1083 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 - (277\/(-2))\/((-14)\/(-28)) is divided by 25\/((-15)\/3)*(-94)\/10.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - 2*h**2 + 2*h**2 + (0*h - h - 2*h)*(-3*h + h + h) + (-9 - 2*h + 14 + 3)*(-h + 1 - 1).\nAnswer: 3*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 * 41.\nAnswer: -1968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(52) + sqrt(468) + 2 + sqrt(312)\/(sqrt(24)\/sqrt(4)) + sqrt(468)*2*2) + 4)**2.\nAnswer: 2040*sqrt(13) + 135352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 488*h + 2468. Let b be t(-5). Solve b*d = -5*f - 2, f = 713*d - 709*d - 28 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*y = 12, 2*o = 15*y - 380 + 425 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -500\/13, -1\/3, 0, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-12))\/(9\/36). Let j(p) = p**3 - 5*p**2 + 3*p - 7. Let o(r) = -r**3 + r**2 - r + 1. Let g be 2\/(-6) - ((-21)\/9 + -3). Give g*o(x) + l*j(x).\nAnswer: -4*x**3 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 6*q**2 - 7*q + 10. Let s be t(7). Let l = s - 2. What is the highest common factor of 32 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*w - 578489 - 170175, 5*p = -5*w + 1871735. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*d - 4248 = -4473 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(110)\/sqrt(2))\/(sqrt(33)\/sqrt(3)*-6).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 4*h + 24. Let y = 76 + -83. Let i be f(y). Solve -i*u - 25 = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 5007 - 5007.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3326467 to the power of 1\/2, to the nearest integer?\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqqingcqiqchchhg. Give prob of sequence giqn.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 68*q - 109*q + 6 = -178*q, -q = -4*v + 24 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*o = 9 + 2, -o = 5*y + 8. Let n be (10\/25)\/(y\/(-830)). Let f = -156 + n. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -137 and -8388624.\nAnswer: -8388761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 12*l**2 + 3*l - 20. What is r(5)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 15*c + 40. Let a be w(11). Let j(t) = -t**3 + t**2 + t. Let y(p) = -10*p**3 + 18*p**2 + 18*p. Give a*y(h) + 72*j(h).\nAnswer: -32*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s - 68*s**2 - 73*s**2 - 75*s**2 + 297*s**2 - 76*s**2 + 6. Let a(v) = 11*v**2 + 11*v + 11. What is -6*a(d) + 11*n(d)?\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*x - 4*x - 18, r = -5*x + 9. Let d be 10\/4*(-2)\/x. Let p = -1 - -1. What is the closest to -0.1 in 2\/7, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 3*u - 40, 0*q + 3*q = 5*u + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -w, 3*w = -5*l + l - 5. Let i = l + 9. Suppose 4*k + 2*h = 160, -2*h = -i*k + 34 + 110. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2708 (base 10) in base 13?\nAnswer: -1304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.00959 - 1557\nAnswer: -1557.00959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -22*z**4 + 20*z**3 + 8*z**2 + 5*z**4 - 20*z**4 + 9*z**4 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1607 is divided by 85?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 25*m**3\/3 + 7*m**2 - 9*m - 196. Is 91 a factor of w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 368853, 737654, 1106455?\nAnswer: 1475256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20440 is divided by 132.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/9)\/((i\/((i\/i**(4\/3))\/i))\/i)*(i*i**(-1))\/i*i*i**(2\/15)*i assuming i is positive.\nAnswer: i**(-19\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4126943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 294, 0, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19155 = -2*y + 5*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llll. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 2*b**6\/15 - 4*b**5\/5 + 4*b**4\/3 - 2*b - 2. Factor m(u).\nAnswer: 4*u**2*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11939 - 11937. Put i, 15, 0 in increasing order.\nAnswer: 0, i, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278478, 556926, 835342, 1113726, 1392078, 1670398, 1948686?\nAnswer: 2226942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*(0 + (sqrt(99)*2 - sqrt(99))*3*-6) + 1)**2*-3.\nAnswer: -96231 + 324*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -667, -1224, -1673, -2008, -2223, -2312, -2269?\n\"Answer: h**3 + 48*h**2 - 708*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from {z: 1, p: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 1, -69, -5 in decreasing order.\nAnswer: 1, -5, -57, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -719, 11, -4, 2, -1\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*m + 882 = 0, 5 - 2 = -m. Suppose -756 = -65*a + 47*a. What is the remainder when l is divided by a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 18 = 2. Suppose -28 + 8 = -2*l. Suppose -i - l = -3*i - 2*g, 5*g = 3*i + 9. Solve -v*o = -i + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i + 16. Let f(p) = -8*p - 16. Let h(o) = 6*f(o) + 7*g(o). Let z be h(8). Solve -3*q - 4*r = -2*q + 4, -5*q + 2*r + z = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + -3. Let o = b - -133. Suppose -3*c - o = -5*v, 3*v + 3*c = 31 + 32. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21494 and -2.\nAnswer: -21496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 3*m - 2*m + 49, k = -3*m - 15. Is (3 - k\/(-3)) + 810 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) + -1*sqrt(143)*5)*6*2)\/(1*3*sqrt(539)*1))**2.\nAnswer: 3328\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5 + 16 - 38*a + 7 - 27. Suppose o = 3*o + 2. What is the units digit of c(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -50 + 110. Let l(w) = -4*w - 2. Calculate the lowest common multiple of n and l(-7).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2166 - -145?\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 10:19 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2*i + 4*i)*(-3 + 1 - 1) - 19*i + 46*i - 23*i - 18 + 16 + 6*i - i.\nAnswer: 6*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3)*255\/(-10). Let s = z - -19. Suppose 42499992 = 4*q - 9*q - s*a, 5*q + 42499984 = -4*a. Round q to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2924*n**3 + 2*n - 3. Is i(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/22196 and -61\/6?\nAnswer: 66588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiqns. Give prob of sequence nq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u + 3. Let d be (4\/(-2) + -8)\/(-1 - 1). Let l(k) = k**2 + 11*k - 7. What is d*h(v) + 2*l(v)?\nAnswer: 2*v**2 - 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 2. Let l be j(11). Suppose 0 = 5*d + 6*a - 2*a - 117, d = 4*a + l. Let n = 1 + -1. Solve n = -4*b + 1 - d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/5191 and -31\/1969?\nAnswer: 57101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -269.3 rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*g + 2, 0 = 5*g - 0*r - 5*r - 10. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-5*6\/12?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 8:46 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*a + 13, -3 = -0*a - 3*a. Let m = -23 + 16. Let h = -3 - m. Solve f*x - 15 = 0, h*q - 4*x = -0*x - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2262 + 2274. What is the third smallest value in 8\/5, 1, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**3 + 9*m**2 - 9*m**2)*(-m - 2 + 2)*(2 - 5 + 1) to q*m**3 + p*m + s + w*m**4 + f*m**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29634199541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 g when three letters picked without replacement from wgwhhgghhfhwghcfhc.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 5:38 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 808 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 39*l. Let c be 1\/((-2)\/(-6)) + -2. Let b be i(c). Suppose 2*s - b = -3*g, -3*s + s = -2*g - 34. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 14*a - 18*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*d + 5*d + 31 = 0, 3*d = -5*h. Solve -2*x + 17 = 3*g, 4*x - 3*x = -h*g + 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021021110 - -1?\nAnswer: 1021021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -845325 divided by 1989?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - p - 625 = -0*p, -4*p = -2*i + 268. Suppose 25*x = 29*x + i. Which is smaller: x or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12*t + 977. Let o(v) = 6*v**2. Calculate y(o(i)).\nAnswer: -72*i**2 + 977","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - 14*j - 17. Let u be h(-5). Suppose -u*w - w = -6044. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 + -35.3. Let q = o + 99.3000917. Round q to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11090, -12, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0795 - 3.9205. Let h be 4\/15 + (-6)\/9. Which is the third biggest value? (a) -0.3 (b) 2\/17 (c) j (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293*b + 72 = 275*b. Let i(a) = 2*a**2 + 10*a + 2. Calculate i(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 o when three letters picked without replacement from {o: 4, m: 16}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4136534 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -635 - 1?\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 3*r**2 + r + 5*r**2. Let z(i) = -5*i - 12. Let j(o) = s(o) + z(o). What is the remainder when j(-5) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2393, 2398, 2413, 2444, 2497, 2578, 2693, 2848?\n\"Answer: s**3 - s**2 + s + 2392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1650 - 0.027.\nAnswer: 1649.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1070, 2141, 3212, 4283, 5354?\n\"Answer: 1071*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*f**4 + 9*f**4 + 0*f**4 + (2*f + 3*f - 6*f)*(3*f**3 + 2*f**3 - 4*f**3) + 3*f**4 + 0*f**4 + 4*f**4.\nAnswer: 28*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b + 1. Let y be p(2). Let l be 0 - y*38\/56. Let t = l - 34\/7. Find the common denominator of t and 17\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - 2 - 1\/1. Suppose -2*a = 2*x + u*a + 397854, 994625 = -5*x - 5*a. Let n = x + 529923. What is n rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -9147 - 7723. What is d rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 274587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1058 = -10*r + 13*r - 2*y, 0 = -3*r - 2*y + 1054. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppwwwlwpppw. Give prob of sequence wp.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 10*n + 6. Let a be l(-10). Let x(o) = o + 2. Is x(a) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101000011 - 1010?\nAnswer: -11101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*g*i**6 + 430*g*i**3 - 2*g*i + 6795*i**2 wrt i.\nAnswer: 3360*g*i**3 + 2580*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 - 14 = 0. Suppose -c*t + 15 = -5*t. Let d(y) = -y**3 + 5*y**2 + 2*y - 3. Determine d(t).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0621 + 0.2099. Round o to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -7. Solve 12 = l*a - a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 12*a + 215. Suppose -2*c + 10 = -0*c. Suppose -c*j = -5*s - 140, 8*j - 4*j = -s - 3. Which is bigger: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**3 + 4*j**3 + 8 - 3*j**2 - 24 + 14*j. What is the units digit of b(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 267*q - 3453. What is r(253)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-59366)\/(-4))\/(163\/326) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 7*r + 8. Give t(-5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/3*(-76108)\/2. Let m = -12954 - a. What is m rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -85, -79, -73, -67?\n\"Answer: 6*t - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1421 - 811 = 4*n, 0 = 3*l + 4*n - 1846. What are the prime factors of l?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + a = 20. Solve 19*y = 23*y - a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23339, -46685, -70031, -93377, -116723, -140069?\nAnswer: -163415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46.2 + 42.75. Let w = -8 - -4.6. Let a = h - w. What is the second biggest value in 5, 3\/4, a?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*i**2*z - 10711*i**2 - 160208*i*z - 13*z wrt i.\nAnswer: 42*z - 21422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Let k(p) = p + 23. What is 2*k(w) + 4*x(w)?\nAnswer: -2*w + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1777*o**4 - 4*o**3 - 2187. Let y(b) = 1777*b**4 - 5*b**3 - 2190. Let p(l) = 5*m(l) - 4*y(l). Find the first derivative of p(c) wrt c.\nAnswer: 7108*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2121*a**4 + 2071*a**4 + 56894 + 57565 - 113263 wrt a.\nAnswer: 16768*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/27 + (-6825)\/(-675)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2 + 12. Is 0 + r - -7 - -2 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1091 and 0.3.\nAnswer: -1090.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 20 = -5*v, -3*m - 3*v + 4*v - 4 = 0. Suppose m*t = -2*t + 26. Suppose 2*r + 5*u = -2*r + t, 0 = -3*r - 4*u + 11. Sort 0, r, 1.\nAnswer: r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0329 + -2035429?\nAnswer: -2035429.0329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2c847c (base 13) to base 10\nAnswer: -1103673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllnnnnlnlllnlllnnn. What is prob of picking 4 n?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3013210 (base 4) to base 14\nAnswer: 4924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 7*n - 6. Let c be y(3). Suppose -3*l - 4*k = -356, -c*l + 3*k + 433 = -2*l. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-2\/17)*c))**(2\/17) assuming c is positive.\nAnswer: c**(-30\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 15*f**3 + 2*f**2 - 1. Let g(w) = -w**3 + 2*w**2 + 2*w - 3. Let y be g(2). Let c be s(y). Calculate the greatest common factor of c and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -287 + 305. Let l be 2\/((-8)\/2)*-36. Suppose 3*c = 2*z - l, -4*z + 12 = c - 10. What is the highest common divisor of z and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**3 + 7. Let o(u) = -u - 39. Let l be o(-18). Let x(m) = m**3 - 2. What is l*x(k) - 6*v(k)?\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5 + 14*l**4 - 36*l**3 + 40*l**2 - 16*l.\nAnswer: -2*l*(l - 2)**3*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 8) in base 13?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 1059148.\nAnswer: 9532332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*-2*5 + sqrt(300))\/(((sqrt(40)\/sqrt(4))\/sqrt(2) - sqrt(5)) + sqrt(5)))\/(6*(sqrt(1452) - (-2*(-5*sqrt(1452) + sqrt(1452)) + sqrt(1452)))).\nAnswer: 3*sqrt(5)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**2 + 903*p + 43793. Determine r(-41).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 199\/12, 2, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 34761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4))**(24\/11)*(b**(-8))**(-15\/11) assuming b is positive.\nAnswer: b**(126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -m - 5*d, -5*m + 3*d = 5*d - 1635. List the prime factors of m.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.09? (a) -0.5 (b) -12 (c) -0.7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10331 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*u + 70. Suppose -79 + u = -7*q. What is the greatest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 5*p + 4. Let m(k) = -2*k**2 - 4*k + 3. Let r(b) = 5*c(b) - 6*m(b). Let g be r(-5). Suppose -g + 10 = -i. Is i 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 26999685 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 3*y + y + 24, 8 = 5*k + 4*y. Suppose 0 = -k*x - 8, 17 = 2*m - 4*x - 9. Let s = m - -9. Calculate the lowest common multiple of s and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - 2*l - 4*l)*(4*l**3 + l**3 - 4*l**3) - 59 + 59 - 21*l**4 to s*l**3 + w*l**4 + b + r*l**2 + i*l and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3200) + (0 + sqrt(3200))*3 - -2*(sqrt(3200) + sqrt(3200)*2 + sqrt(3200)) - (-3 + sqrt(3200)*-1*4)) + -5)**2.\nAnswer: -2560*sqrt(2) + 819204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 378dc3 (base 16) to base 5.\nAnswer: 1413001041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -46, -43, -38, -31, -22, -11?\n\"Answer: b**2 - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8196, -32523, -72538, -127803, -197880?\n\"Answer: 73*h**3 - 8282*h**2 + 8*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 12:06 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 276*y**3 + 5*y**2 - 5*y - 4. Let z be o(3). Suppose 5949 = 29*m - z. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 77616?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 4, -5, -4, 78, 307 in decreasing order.\nAnswer: 307, 78, 4, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 12. Let m = -0.34 - 0.06. Which is the closest to 0? (a) d (b) 2\/11 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -203, -396, -863, -1718?\nAnswer: -3075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 3*d**7\/14 + d**5\/12 + d**3\/3 - 2*d**2 - 24*d. Find the third derivative of v(l) wrt l.\nAnswer: 1080*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14976 is divided by 14941.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 8, -0.05, -2\/5, -2\/3, -0.43?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -11858\nAnswer: -1\/11858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*(15 - (11 - 2))*3\/237\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 35 + 49. Let d be 1\/((q\/(-12))\/(-7)). Suppose 9 = d*i - i. Let w(j) = -1. Let m(a) = -2*a - 2. Determine i*w(y) - m(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o - 1. Let f = 23 - 24. Let j be q(f). Differentiate -j*x**2 + 296 - 263 - 23*x**2 wrt x.\nAnswer: -54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -30\/7*s**4 - 8\/7*s - 76\/7*s**2 + 14*s**3 + 16\/7 = 0. Calculate s.\nAnswer: -2\/5, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 7:18 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 5*k**2 + 5*k + 5. Let i be u(-4). Suppose -i = 2*v - 5. Find p, given that -12*p + 4\/3 + 27*p**v = 0.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {h: 4, t: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2 + 22 + 3*d + 2*d**2 - 19*d. Suppose 62 = -4*w + 54. Let o(k) = 1. Let l(a) = w*u(a) + 20*o(a). Factor l(y).\nAnswer: -4*(y - 7)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -23*p - 4. Let h be x(-1). Suppose h + 107 = l. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z + 37. Let u be ((-15)\/(-25))\/(4\/120). Let n be u\/8*(-240)\/45. Is m(n) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 5*x - 5*g + 25, -16 = -4*g. Let q(z) = z**2 - 3*z + 2. Let v be q(x). Suppose 2*c - 324 = -c. What is the highest common factor of c and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878227?\nAnswer: 7, 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 12:38 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 54? (a) 2 (b) -1\/2 (c) 3\/4 (d) -2\/7 (e) -0.08 (f) -0.184\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-499776.\nAnswer: 3998208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -19\/120?\nAnswer: -19\/120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 15679042*t**2. Let p(z) = -3*z. Give n(p(s)).\nAnswer: 141111378*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 137*w**2 + w - 4. Let j be x(2). Let r = -2275 + 2353. What is the highest common divisor of j and r?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57351*f**2*u**5 + f**2*u**2 + 28*f**2*u + 2*f**2 + 7*f - u - 9 wrt u?\nAnswer: 1147020*f**2*u**3 + 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 33*l - 15*l + 24*l - 47. What is the tens digit of m(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 6:29 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*r - 71 + 1 = 77 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.06 - -0.06. Let g = -3 - t. Which is the nearest to 2\/5? (a) g (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-5\/4)*t)**(-34) assuming t is positive.\nAnswer: t**(-119\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 49072*v**2 - 866*v + 3461. Is q(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 60.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -15*u - 300. Let t be h(-21). Solve 5*m + t = 5*b - 0*b, 2*m - 9 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -1)*(-19)\/(-2). Calculate the highest common divisor of 38 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -50*c**2 - 417*c + 99611. What is w(-49)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 14*m**2 - 40*m + 1. Suppose 0 = 22*r - 2959 + 2739. Give l(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwww. What is prob of picking 2 w and 1 i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19821 is divided by 2199?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c - 9*c - 11*c + 0*c**3 - 12*c**3 wrt c?\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 2:42 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.12? (a) 4 (b) 1 (c) 0.2 (d) 0 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 30, 4 in ascending order.\nAnswer: -7, -1, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 17*r**2 + 5. Let a be o(17). Solve 1 = a*p + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39393)\/17508*2*(-2)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76376, -76342, -76308, -76274, -76240?\n\"Answer: 34*m - 76410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2363*y + 77 - 2*y**2 + 0*y**2 + 0*y**2 - 2363*y - y**3 in the form x*y**2 + m*y + q*y**3 + l and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (4 + sqrt(9)\/(sqrt(15)\/sqrt(5)) + 3)*-5)*3)**2 + -4.\nAnswer: 2790*sqrt(3) + 9320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -1862728.\nAnswer: 1862725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4 = 4*k - 85, -3*v + 47 = 2*k. Let p(u) = 4*u**3 + v*u - 2*u**3 - u**2 - 1 - 14*u. Give p(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59696\/(-7749))\/(22\/(-297)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**2 - 9*g - 14. Give i(-7).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/18 and (165\/(-6) + 0)\/1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15773 is divided by 1310.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 - 2*s**2 - 3*s + 4. Suppose -15*w + 30*w = 0. Let z be w + 1 + 8 + -6. Calculate b(z).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(36)\/(sqrt(8)\/sqrt(2)))*-5.\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/62*(0\/(-3) + -1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*k**2*l**4 - 219*k**2*l + 2*k**2 + 156*k*l - 551233*l**3 - 2 wrt l.\nAnswer: 96*k**2*l**2 - 3307398*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {m: 3, k: 3, t: 3, r: 1, o: 10}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 c, and 1 a when three letters picked without replacement from {p: 1, a: 3, c: 11}?\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(12)*3 + (-2*sqrt(3) + 4 - sqrt(3))**2.\nAnswer: -18*sqrt(3) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**2*h*x**3 + 10697*b**2*x**3 + 16*h*x wrt h?\nAnswer: -3*b**2*x**3 + 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2 + 172*p - 2316. What is g(37)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.023951*-2.\nAnswer: -0.047902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*u + 32, 5*u = 2*s + 13. Is s bigger than -109\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 49*x - 1001. Determine u(20).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 4*v**2 - 4*v + 1. Let f be h(3). Let o be (-1 - -3) + f + 0. Suppose o = -5*y - 10, -4*s = 5*y - 0*y - 2. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkwkk.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - 210?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q - 2. Let t(x) = x - 6*x - 1 + 4*x. Calculate 5*c(m) - 12*t(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 k, and 1 y when three letters picked without replacement from {a: 3, j: 1, k: 1, d: 6, y: 3, p: 1}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/28 in 3\/5, 1, 0.1, -1.4, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + sqrt(931) + 1*sqrt(931) + 2 + 1 + -5 + (sqrt(931) - (sqrt(931) + 1*sqrt(931)*3 + sqrt(931))))**2 + 0)*3.\nAnswer: 84*sqrt(19) + 2805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027809456 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -3\/7, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -533012 (base 6) to base 2\nAnswer: -1010100110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 3*m - 3 + 1. Let g be o(-3). Let q be (-1)\/g - 3\/(-12). Solve 4*p + 3 + 1 = q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1829248 is divided by 229.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 110 = -3*p - 131, -5*d - 5*p + 5 = 0. Let z = 10 - 8. Suppose 4*j - 3*q + z = 0, -1 = -j - q + 2. Solve 0 = 4*u - d*u - j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4432400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 2*d + 3*d)*(40 - 9393*d**2 - 999*d**2 + 63129*d**2 - 17 - 23).\nAnswer: 52737*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -1\/5*s**2 + 1\/5*s**3 + 1\/10*s**4 + 4 - 3\/25*s**5 + 0*s. Factor d(f).\nAnswer: -f*(f - 1)*(f + 1)*(3*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -33*s**3 + 11*s**2 + 22*s + 112. Is 5 a factor of i(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -103, -199, -323, -469, -631?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2230 divided by -5\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-14)\/(x\/((x**8\/x)\/x)))\/((x*x*x\/(x\/x**(2\/3))*x*x)\/x**(3\/4)) assuming x is positive.\nAnswer: x**(-155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 802033.1ug?\nAnswer: 802.0331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9.77 and 2.\nAnswer: -7.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5652*j**2 + 572*j - 1139. Is x(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*u**2 - 11*u**2 - u - 8*u**2 + 3*u**4 + 2*u**3 + 5 - 6*u**2 in the form m*u + c + z*u**2 + b*u**4 + r*u**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13, -139, -427, -845, -1387, -2047, -2819?\n\"Answer: z**3 - 74*z**2 + 63*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 0*s**6 + 0*s**3 + 0*s + 1\/60*s**5 + 0*s**7 + 0*s**4 + 1\/168*s**8 + 6*s**2 + 0. Find the third derivative of n(g) wrt g.\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 474622?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, -63, -198, -387?\n\"Answer: -27*o**2 + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 12) to base 14.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 57?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.9063?\nAnswer: 1.8126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15622 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 185. Suppose -10*m - v = -333. Solve -5*s - 4*n + 5*n = -14, -5*n = -s + m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34877593273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 - 7*a**2 - a - 3. Does 10 divide b(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((sqrt(833) - (-4 + sqrt(833)*-2)) + sqrt(833))*-6 + (0 + sqrt(833))*-4 + 0))**2.\nAnswer: 235200*sqrt(17) + 16341200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 9*n + 22. Let l be ((-4)\/(-6))\/(1\/(-27)). What is the remainder when i(-9) is divided by 6\/(-27) + (-94)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 14. Let r(m) = -5*m - 7. Let b be r(5). Let k = -7 - b. What is the remainder when k is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwiwwwwwvawwwa. What is prob of sequence aav?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s + 33 - 32 - 5*s)*(0*s - 11*s + s).\nAnswer: -60*s**2 - 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(-2 - 3\/(-6)). Let m be a*(-4)\/(-24)*(-2)\/(-1). Solve 4*b + 5 + m = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -2407059, -9, 2, -5 in decreasing order.\nAnswer: 3, 2, -2, -5, -9, -2407059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 861*n + 8181 = 558*n for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 = -2*d - 105. Round d to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**5\/20 + 5*v**4\/6 + v**3 + 34*v**2 + 3*v - 28. Calculate the least common multiple of x(-10) and 28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -87*n**3 - 785*n**2 + 3*n + 158. What is r(-9)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46027616104 + 3?\nAnswer: 46027616107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/(-4324)*(-188)\/(-564)*(1 + -2)?\nAnswer: -1\/188","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Suppose 9 - 1 = f - d, -4*f + y*d + 24 = 0. Suppose 0 = -f*a + 35 + 113. 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 units digit of 7814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 8. Suppose -o + 5*o - 20 = h. Suppose -o*r + 100 = 10. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 5*j**4\/12 + j**2\/2 + 3*j. Let o be g(-2). Suppose -5*d + 30 = -m + 6*m, m - o = -4*d. Solve -5*y + 10 + d = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 16*i - 68 = 0. Solve 0 = -i*q - 37 + 57 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1532330.8 to the nearest 10000.\nAnswer: 1530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1854 + -1749. Calculate the remainder when 325 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*v**4 - 16*v**2 + 17*v**2 - 38*v**2 - v**2 wrt v?\nAnswer: -1224*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, p: 1}. What is prob of sequence eppp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 8. Suppose -4*y = 3*f - 32, -g*f - 9 + 47 = 3*y. What is the highest common factor of f and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3))**(-12)*(m**(-1\/3)\/m)\/(m\/(m\/m**(-5))))**(-5\/9) assuming m is positive.\nAnswer: m**(5\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a + 19*a + 13*a - 19309 + 18102 = 0 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y + 0*y + 9 + y. Let v be d(4). Suppose 4*x = -4*r + 20, -r - 2*r - 35 = -2*x. Calculate the highest common divisor of v and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(66)\/(-2*sqrt(294) + sqrt(294)) - (4 + 1 + sqrt(275)))**2.\nAnswer: 360*sqrt(11)\/7 + 15530\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 340 (base 10) to base 2\nAnswer: 101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -15634000 to the nearest one hundred thousand.\nAnswer: -15600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12792 and -313.1765207.\nAnswer: -13105.1765207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - -2 - 12 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.014 (b) 0.1 (c) -2\/3 (d) -2\/13 (e) 0.03 (f) -0.56 (g) 35\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4961141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -206 - -208. Solve 1 = 2*i + 2*x + 9, i - g*x + 7 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) + -1 + 95\/60. Which is the second smallest value? (a) s (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 17*u**2 - 1. Suppose 15*l + 25 = 20*l - 5*h, -5*l - 2*h = 3. Calculate a(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 34.75 and -4255128.\nAnswer: -4255093.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*49\/(-84)*2*2\/(-77).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 h when three letters picked without replacement from {d: 1, k: 1, h: 2, r: 5, p: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -12284.5.\nAnswer: -6142.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 1240 + 1698 = 0. Let r = -72 - f. What is r rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 22220*f - 2999649. Determine y(135).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 621, 4, 1\/6, -358?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*y - 1800, 429 + 2567 = 5*y + 3*s. Calculate the smallest common multiple of y\/9 + (-26)\/(-117) and 9.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-9) - (-186)\/9. Suppose 251 + r = 2*d. Does 34 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1781 and 3.\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 152912.6l in millilitres?\nAnswer: 152912600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597*r + 613*r + 2 - 1211*r - 2.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -28*x**3 + 3*x**2 + 476*x + 946. Calculate w(-2).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 9. Suppose 0 = 4*t - 0*t - l. Solve -4*n - 2 = -t*m, -3*n - 6 = -4*m - 2*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 2)*(3*p - 2*p - 3*p).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4470*m**2 + 497*m + 20. Let w be l(-10). What is w rounded to the nearest one thousand?\nAnswer: 442000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 38*m + 4 - 46*m)*(-4*m**2 - m**3 + 4*m**2).\nAnswer: 8*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 8*x. Let m be i(-8). Suppose -4 = -2*l + l - 3*k, 3*l - 3*k - 24 = m. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-37)\/(i*i**(3\/5)))\/(i**(-20)*i**(-14)) assuming i is positive.\nAnswer: i**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-12)\/5)\/(-6)*(-3 + 959 + 4) and 204?\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*q = 2*q + 1, -50 = -5*w + 5*q. Calculate the lowest common multiple of 11 and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13296 + -13292. Solve k + 22 = j*g, 5*g = 2*k - 10 + 42 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*f - 1537 + 2140 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 - 12.97. Let k = d - -11.4. Let b = k - -1.552. Round b to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 3*w**2 - 10*w - 5. Let q be v(-9). Suppose 0 = -3*m + g + q, -2*g - 693 = -3*m - 124. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7136, -6541, -5550, -4163?\nAnswer: -2380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -8619490\nAnswer: -1\/4309745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6974617.\nAnswer: 13, 536509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 134 + 209 + 151 + 18)*(8 - f + 34 + 2).\nAnswer: -494*f + 21736","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 277274 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i = -60. Let w(c) = c**2 - 4*c - 3. Let u = 7 - 10. What is the lowest common multiple of i and w(u)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l = 0. Solve 2*r - 2*r + l*r - r**2 + 2*r = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 29 = -3*h, -h = -4*r - 6*h - 31. Let y(g) = 5*g - 10. What is the remainder when y(20) is divided by (13 + r)*(-62)\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*j**3 - 2*j**3 + 10*j**3 + (-2*j**3 + 5*j**3 - j**3)*(1 + 4 - 4) in the form x*j**2 + c + o*j**3 + q*j and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17159377 or 2\/5?\nAnswer: -17159377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10275 + 33736. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75920 and 122715190.\nAnswer: 9490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7560 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4\/(-11) - (-16)\/(-88)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*n**2 - n**2 + 2*n**3 + 0 + 6 - 37*n**2.\nAnswer: 2*n**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11, 16, 23, 32?\n\"Answer: r**2 + 2*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k - 4*k**2 - 7*k)*(-3*k**2 + 22*k - 22*k) + 20*k**3 + 5*k**4 - 1631 + 1631.\nAnswer: 17*k**4 + 20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67095*h**2*u + 6*h*u + 7766*h + 2*u wrt h?\nAnswer: -134190*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68166 is divided by 214?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16912*u - 4266*u - 4108*u - 4263*u - 4274*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1 = r - 11, 5*o + 15 = -3*r. Suppose 2*h - 2*z = 0, r = -10*h + 5*h - 2*z. Solve 0 = -h*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -6*(sqrt(468)*-2 + -2)*5 + 3)*4 + 3)**2.\nAnswer: 688320*sqrt(13) + 27013921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221220 + 202?\nAnswer: 1222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - x + 6. Let p be f(0). Let i(u) = -8*u + u + 14*u - 7*u**2 + u**3 - 1. Does 5 divide i(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-1012)\/15)\/(-22))\/((-28)\/42))\/(3\/30).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a - -185a9?\nAnswer: 1856a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.025, 0.4, 35649, 5 in descending order.\nAnswer: 35649, 5, 0.4, 0.025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -10\/3*m**6 + 0 - 8*m - 3*m**5 + 0*m**2 + 3*m**4 - 2\/3*m**3. Factor c(r).\nAnswer: -4*r*(r + 1)*(5*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(306) + 2*sqrt(306)))\/(-6*sqrt(12)\/sqrt(2)))\/((sqrt(300)*-1 + sqrt(300))*4 - sqrt(300)*2*-3).\nAnswer: -sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5500))\/(sqrt(5) + 2*sqrt(20)\/sqrt(4)) + -1.\nAnswer: -20*sqrt(11)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h + 37. Let u be m(-8). Suppose 74 = -u*a + 58*a. Solve -2 = a*r + 2*z, -z + 9 = r - 2*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1237 or -14?\nAnswer: -1237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t + 11*t - 13*t + 10 + 0*t**2 + t**2. Let r be p(-6). Suppose -38 = -6*i + r*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11024*c**3 - 96460*c**2 - 4823*c - 4823. Let a(h) = -2*h**3 + 20*h**2 + h + 1. Give -24115*a(d) - 5*x(d).\nAnswer: -6890*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h + 2*k = -23*h - 9, -6 = -2*k. Suppose 2*b - b = 2. What is the greatest common factor of b and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 580*o**2 + 16*o**2 - 4 + 1.\nAnswer: 596*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9795 - -9796. Let n = -11 + 10.84. What is the third biggest value in -2\/9, a, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*n - 4, -2*v - 2 = -2*n + v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -48*a - 50 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52968 by -8828.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9416241 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -3, -0.5, -2834809, 2\/5, -1\/8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -927 by 168.\nAnswer: -309\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*d**3 - 4914065*d**2 + 634055524 wrt d.\nAnswer: 75*d**2 - 9828130*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*o + 10 = 3*m + 295*o, 3*m - 24 = -3*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*d, -3*g + 71 = 5*d - 3*d. Let y(p) be the first derivative of -p**2\/2 + 4*p - 16. Calculate the remainder when g is divided by y(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - 5*f - 4*f + (-1 - 1 + 4)*(-f - 1 + 1) - f + 4*f + 0*f + (2 - 1 - 6)*(0*f + 5*f - 4*f).\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 3 - 15*u**3 - u - 2. Let l = -6827 - -6828. Calculate o(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72842002 not equal to 72842004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 11650520\nAnswer: -1\/5825260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51878\/11 or -4716?\nAnswer: -51878\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1216)*3 + 3 - (-1 + -3*sqrt(1216))) + -2.\nAnswer: 3 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i + 4*i)*(-4*i**4 - 2*i**4 + 5*i**4) - i**5 - 3*i**5 + 6*i**5.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlq when three letters picked without replacement from {n: 1, r: 9, b: 1, q: 4, l: 4}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.23891 - 17.417. Let i = -0.179 - m. Round i to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 9802 = 2*g, -6*g + 2*w = -7*g + 4904. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254108753?\nAnswer: 463, 548831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, s: 8, f: 1}. Give prob of picking 4 t.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7*1)\/(39*48\/(-1872))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 22 + -6 + 2 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2523512 is divided by 1009.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 - 163. Suppose d + 0*r = -r + 89, 4*d = -y*r + 354. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 42*m - 236. What is the hundreds digit of u(39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 10 = -u, 2*c = 2*u + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 91 in 3, -4, 4, -0.5, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500070.\nAnswer: 2, 3, 5, 79, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*t + q, 4*t - 6 = t + 3*q. Let b(f) = 3 + 4*f - f - 4*f. Give b(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3133639 + 3133639 + 30*k.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/3)\/r)**26)**(-3\/7)*(r\/r**(-1)*r\/r**(1\/6))**(4\/5) assuming r is positive.\nAnswer: r**(628\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1022 + 1302. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2354 + -1602. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 3\/10, -3 in increasing order.\nAnswer: -3, 3\/10, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5 - 16*d**2 + 14*d + 30*d**2 - 16*d**2 + 19. Let n(j) = -j**2 + 6*j + 6. Let l(k) = 14*n(k) - 6*t(k). Let m(u) = -11*u**2. What is l(m(r))?\nAnswer: -242*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.468 + 0.212. Let w = 19.32 + a. Is -6 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 5:10 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5869*u + 76280. What is r(-13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94845642?\nAnswer: 2, 3, 15807607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express x + x - 2 + 0*x - 10 as k*x + b and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 55. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -7621.7 (c) -3 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2\/(-2))\/((-8)\/1)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 12512002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8331 - 13.1669. Which is the second smallest value? (a) 5 (b) 13\/2 (c) t (d) -11\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (2\/4 - 21\/(-14)). Is f\/(-3) - 42176\/(-24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168678922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*j - 9, 4*s + 6 = -2*j - 0*s. Suppose -4*m - j*p = -m + 3, 0 = -2*m + 5*p + 5. Suppose -h + 24 = h + 2*k, 2*k - 2 = m. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 404 + 716. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6058552771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*r + 8, -4*r + 3*o - 10 = 6*o. Sort r, 2, 3, 9.\nAnswer: r, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117367 is divided by 117364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -82246743 + -1.24\nAnswer: -82246744.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-4 - 3 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73876 and 1487156?\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -5.13624025.\nAnswer: -4.93624025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5344\/24 + 4\/3 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -27003 + 2377. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*i + 7 - 1, 4*z - 4 = 0. Is (373\/2)\/(i*2\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 2 - (17 + -4 - 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -68483.20868 to the nearest one thousand.\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8428 and -224999535.38.\nAnswer: -225007963.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 258500 a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*d + 2 - 10825*d**2 + 114*d.\nAnswer: -10825*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 2695481.\nAnswer: -13\/2695481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/6828 and 103\/48.\nAnswer: 27312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1444*n**2 + 495*n**2 - 1092*n**2 - 160*n**2 + 4*n to the form t*n + x*n**2 + s and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 s when three letters picked without replacement from smnsnnsnnsssssssns?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i + 0*i)*(-10*i + 4*i - 40*i)*(82 + 0 + 296).\nAnswer: -34776*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4648907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wucuwccchw. What is prob of sequence whwu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is b436 (base 12) in base 2?\nAnswer: 100110010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m = -22*m - 3200. Let t = m + 705. List the prime factors of t.\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + o**2 - 1. Let d(j) = -5*j**4 - 14*j**3 - 13*j**2 - 4*j - 3. Suppose -h + 12 = 5*x, -4*x + 3 = x + 4*h. Let y(p) = x*w(p) - d(p). Factor y(c).\nAnswer: c*(c + 1)*(c + 2)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*x + 827 = -2628, 5*f - 5*x = -3455. Let s = f - -96. Round s to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24033375 divided by 3375.\nAnswer: 7121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/32)\/((-30)\/40).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**6\/120 - w**5\/15 + w**4\/24 - 7*w**3\/6 + w**2. Is 7 a factor of a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -13. Suppose 18 + 52 = 5*r. Let a = r - t. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 853114, 3412442, 7677994, 13649770, 21327770, 30711994, 41802442?\n\"Answer: 853112*c**2 - 8*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-21)*(-60 - -93)?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-904)\/41 + 2344\/48052?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*3 - sqrt(121)) + sqrt(121))\/sqrt(11) + 3.\nAnswer: 3 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312 and 390?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y + 5*w - 25, 2*y = -2*w - 2. Which is smaller: y or -9\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39130 divided by -2.\nAnswer: -19565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {k: 5, z: 3, s: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(136) - sqrt(136)*1 - sqrt(136)) - sqrt(136))\/(sqrt(24)\/sqrt(3)*6) - (sqrt(17) + sqrt(85)\/sqrt(5) + 4 + (sqrt(51)\/(sqrt(18)\/sqrt(6)))**2).\nAnswer: -21 - 7*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r, 9*m + 13*m - r = 28*m - 11*m + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272682295.\nAnswer: 5, 17, 67, 47881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4536710.7000145 - 4536708. Let m = -2.7 + r. What is m rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -292*i + 263*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9032 and 10?\nAnswer: 45160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1952349 < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14853587, -29707166, -44560745, -59414324, -74267903, -89121482?\nAnswer: -103975061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 18 = 2. Let r be q - 5\/(45\/(-33)). Let h(t) = -t**2 + 3*t. Let s be h(3). Which is the closest to s? (a) r (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01703 to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 931.9 + -900. Let b = -31.92 + -0.08. Let p = b + f. Which is bigger: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000609736 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 603 + -591. Calculate the remainder when 13653 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.082001878 - -0.082. Round f to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*p + 155*p = -92. What is the remainder when p is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 82\nAnswer: -3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 1:58 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5 = 11. Let d be 3\/(-15)*5\/k. Let q = -29 - -28. Which is the closest to 23? (a) -2 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -363, -2869, -9679, -22947, -44827, -77473, -123039?\n\"Answer: -359*p**3 + 2*p**2 + p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v - 2. Let c(u) = 6*u**2 - 23. Give c(o(s)).\nAnswer: 294*s**2 - 168*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x**2 + 78*x - 9. Calculate z(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3714247 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2. Let b(w) = -w + 2. Let s be b(0). Let q(m) = 0*m**2 + 4*m**s - m**2. Calculate q(x(n)).\nAnswer: 108*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3272*g**3 - 2*g**2 - g + 2. Let n(o) = 3273*o**3 + 2*o**2 + o - 3. What is -2*n(m) - 3*u(m)?\nAnswer: 3270*m**3 + 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**3 - 6. Suppose 5*x + 2*h = 0, 0*h + 6 = -2*x - 2*h. Let z(t) = -6*t**2 + t**x - 4 + 4. Give v(z(j)).\nAnswer: -75*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.066 in -3\/4, 13\/5, 0.168?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + 157?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18008209 <= 18008242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11876 (base 10) to base 8.\nAnswer: 27144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -173. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2812 divided by -44?\nAnswer: 703\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 984 times -0.14\nAnswer: -137.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*v = -3*v - 25, -5*m = -5*v - 55. Let k be 12\/9 + 2\/3. Let b(j) = j + 0*j**2 + j**k + 0*j**2. Let s(a) = -8*a**2 - 4*a - 1. Give m*b(n) + s(n).\nAnswer: -2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 110551 plus 98205.8?\nAnswer: 208756.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-1 + 0)*2\/(-2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 0, 2, 4?\n\"Answer: 2*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2 = 6*v. Let w = v + 31. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 3. Let f be z(1). Let r be f\/12 - 28200001\/(-6). What is r rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2610969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 divided by 2.\nAnswer: 89\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 5*x**2 + 2*x + 2. Let q(w) = w**3 + w - 1. Let m(u) = 2*q(u) + z(u). Let b(f) = 6*f**2 + 3*f. Let i(h) = 6*b(h) - 5*m(h). Factor i(v).\nAnswer: -v*(v - 2)*(5*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4729 + 8076. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v = -77 + 105 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -528190900 rounded to the nearest one million?\nAnswer: -528000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 9*w + 32. Suppose 0 = -w*j + 5*j + 54. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 - 216 = -8*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-2) - 6\/((-36)\/42). Suppose -l = -3*y + 1, -2*l - 7*y + f*y + 10 = 0. Calculate the greatest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22483059510139\/15418 + -1458234500. Let d = 30\/593 + i. Let w = d - -2\/13. Sort w, 3, -0.1.\nAnswer: w, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 215 = v - 4*g, 4*v - 151 = -g. Let x be -4 - ((-2)\/13 - 150\/v). Solve -t + x = -1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzbsbabzszzbhbahbha. What is prob of picking 1 b and 3 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/21)\/((16\/(-8))\/(-80)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0.8. Let z = -1.20085 + w. Round z to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13\/9 (b) 2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -4, 0, 7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 44*s**2 - 121*s + 69. What is v(-41)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37883543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 17602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 719 or 725?\nAnswer: 719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 6*p**2 - 2*p - 8. Let v be i(-6). Solve -l + 5*l = 4*w - 4, 4*l + v = -w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24775, -5, 28 in descending order.\nAnswer: 28, -5, -24775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 + -0.2. Let w = -19.9 + 21. Let l = b + w. Are l and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19642, 161396, 547360, 1299640, 2540342?\n\"Answer: 20351*u**3 - u**2 - 700*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(252) + 0)**2.\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(171) - sqrt(19) - (sqrt(304) + sqrt(19))*-2.\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - r - 3)*(-3*r + 5*r - r) + (-2*r + 3 - 3)*(8*r - 3*r - 4*r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/(((-44)\/(-8))\/(-11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*h + 182*h + 3899 = -157*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11374415 rounded to 5 dps?\nAnswer: 0.11374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from thzsf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2 + 18 = -5*p, -5*p - 20 = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -218 (base 12) to base 10\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.3, 0.236?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2398?\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13572 and 14871519?\nAnswer: 3393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(0 + sqrt(162)) + sqrt(162))**2 + (1 + sqrt(2) + -1 + sqrt(2) - (sqrt(40)\/sqrt(2) - sqrt(20))\/sqrt(10)))*-1.\nAnswer: -2592 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 13*i - 47. Let h be u(8). Suppose 141 + h = 18*s. Suppose -39 + 6 = -3*f. What is the greatest common factor of f and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s + 29 = -5*i, -i + 2*s = 3. What is the least common multiple of 15 and 42*1*(6 + i)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 0.5, 29162\/17?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 244758 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 0.5. Let m = -0.02 - -0.12. Let q = m - -0.3. What is the biggest value in q, c, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5096\/5 - 1015. Find the common denominator of 24\/5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + h + 1. Let m(x) = 51*x**3 - 3*x**2 - 5*x - 4. Determine -4*a(w) - m(w).\nAnswer: -51*w**3 - w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 40. Let d = -8 + i. What is the lowest common multiple of d and (-6)\/18 + (-7)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76277 != 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*f**2 + 5398148 - 5398168 - 107*f**2 to g + o*f + s*f**2 and give s.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 401 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/3760 - 1883\/11280. Put p, 5, 51 in ascending order.\nAnswer: p, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34*(-30)\/8925)\/(4\/(-10)). Sort 3\/4, t, -107 in decreasing order.\nAnswer: 3\/4, t, -107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-268*(-218)\/21909)\/(-4*(-14)\/36).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -3. Suppose j*q = 2*u + 21, -u - 13 = -5*u - q. Solve -u*s - s = 4*w + 15, 0 = -5*w - 5*s - 25 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 12*x + x**3 + x - 9*x + 2*x**2. Let r be a(-3). Let s be (-6)\/r + 8\/(-28). Solve 3*m - 7 + 1 = s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11680 + -11129. Which is smaller: 2\/3 or y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alyalyiiiiddlada. Give prob of sequence yl.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -6*b + b. Let n = b - -7. Suppose 88*z - 28 = 95*z. Is z greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8717 = -18*o + 4099. Let m(q) be the first derivative of o*q - 712*q - 4*q**2 - 28. Let d(v) = -v. Give -3*d(j) + m(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*g = -124*g - 6. Is -0.3 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -314*m**3 + 168*m**2 - 38592*m?\nAnswer: -1884*m + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - r**2 + 2*r**2 + 4*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4472.22 to the nearest 100.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - -1)\/(-2 + 0). Suppose a - 4 = -v, -q*v = v + 2*a - 20. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 534088049 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 2. Suppose 0 = 34*c - 44*c + 770. Calculate the remainder when c is divided by x(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {n: 7, y: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1741, -7, 4 in ascending order.\nAnswer: -1741, -7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 17556 = 80*n. What is the remainder when 235 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 0*j + f + 6, -4*f = j - 0*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141158 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: -11870892 divided by -198\nAnswer: 59954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (32 + -31)\/((-4)\/774)*-8 is divided by 500?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7188 + 7171 - 2*r**2 - 14359.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4291588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4552, -4566, -4580, -4594, -4608?\n\"Answer: -14*l - 4538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 4. Let n = -3 + 3.4. Let m = 1\/611 - -609\/1222. Which is the closest to g? (a) m (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w**(-6)*w)*w))\/(w*w**3*w))\/(((w*w**8)\/w)\/(w\/(w**7\/w))))**(2\/3) assuming w is positive.\nAnswer: w**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 459 + -521.85.\nAnswer: -62.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8157?\nAnswer: 3, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38710 is divided by 523.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.1 - 0.2. Let j = -6 + z. Which is the second smallest value? (a) 5 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834564463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 19840000 to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -1\/10 (c) -26 (d) 0.2 (e) 0.0886 (f) -94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4 - 2 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/1941 and 85\/48.\nAnswer: 31056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 14 - 24 = 0, -2*i + 16566 = 4*c. What are the prime factors of c?\nAnswer: 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2) + -2 - (4 + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9 + 3.9. Which is the third biggest value? (a) -0.3 (b) s (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -150 + 149.23. Let x = d + 5.87. What is x rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2302737 + -5?\nAnswer: 2302732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -228971.05692 + 475573.55654. Let p = z - 246598. Let r = p + -4.5. What is r rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b**4 + 8*b**3 + 4*b**2 - 4. Let j(k) = -8*k**4 + 7*k**3 + 3*k**2 - 3. Let l(a) = 4*j(a) - 3*r(a). Factor l(i).\nAnswer: -4*i**3*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1568) - (sqrt(1568)*-1 - sqrt(1568)) - sqrt(1568)) + sqrt(1568))**2 + -4 + sqrt(40)\/sqrt(5)*-2.\nAnswer: -4*sqrt(2) + 14108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 50*h + 56. Determine w(27).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1287775362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 6*a - 4. Let u be f(-3). Let z = -179 - -179. Which is greater: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7572\/16)\/(60\/16 - 3). Suppose -x - z + q = 0, 6*z = -4*x + 7*z + 2504. What are the prime factors of x?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20026, 20010, 19970, 19900, 19794, 19646, 19450?\n\"Answer: -b**3 - 6*b**2 + 9*b + 20024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62127 is divided by 110.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -98\/11, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.056218313 - -58.\nAnswer: 58.056218313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20264*q**4 + 70177 with respect to q.\nAnswer: -81056*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + (-8 + -55 - 26)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -2. Let x = -357\/20 - -93\/5. Which is the second smallest value? (a) -3 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1738762231 to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5 - 79*p**6 + 185*p**2 - 3*p - 2*p**3 - 8*p**4 - 187*p**2 - 15 wrt p?\nAnswer: -9480*p**3 - 192*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/162*12)\/(10*72\/(-60))?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/10*2760\/(-207). Let z = 27 - t. Let k(n) = -3*n + 2. Let s(i) = 5*i - 3. Give z*s(x) - 8*k(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*l*n + 3*l + 9*n + 2 wrt l.\nAnswer: -12*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n = -21*n - 106. Let g = n + -35. Calculate the highest common divisor of g and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 16 + 11 = 0. Let s(t) = 2*t + 3 - t**2 - t + 3*t**2. Is 17 a factor of s(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1405*k**2 + 532*k\/3 - 4\/3.\nAnswer: (15*k + 2)*(281*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-79)\/(-9) - (-50)\/225.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168780, 337559, 506338, 675117?\nAnswer: 843896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -345*p**2 + 10*p + 2050 wrt p.\nAnswer: -690*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 6*d - 46*d)*(2 + 3 - 6)*(d**4 + 0*d**4 + d**4) + 5*d**5 - 2*d**5 - 4*d**5 + (-5*d**3 + 2*d**3 + 5*d**3)*(2*d**2 + d - d).\nAnswer: 103*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(3\/8)*n**17)\/(((n\/(n\/n**(-10)))\/n)\/(n\/(n*n**(-7\/6)))))**(2\/5) assuming n is positive.\nAnswer: n**(733\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 6)*(1 - 1 + 1)*(2 - 2*i - 2)*(-5 + 2 - 2) in the form h + v*i and give v.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1973 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: Let j(v) = 115*v**2 - 648*v - 31. Let s be j(6). Calculate the highest common factor of 2635 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2*w + 134, 2*m - 6*m - 2*w = -138. Suppose -h + m = h. Suppose -20*d + h*d + 9 = 0. Solve 4*k - c - c + 10 = 0, -d*c + 15 = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1040050)\/(-132) + -16 + (-2)\/((-24)\/10) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6*p - 14 = 3*p, -6 = -3*p. Suppose -v - 2 = -3*m. Suppose 7*b - 35 = m*b. Solve -2*y = -b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 616 and 252414.\nAnswer: 77743512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -240*r**3 + 162*r**2 - 15*r\/2 = 0.\nAnswer: 0, 1\/20, 5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byibk. What is prob of sequence iy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -2139.\nAnswer: -1283.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 - -74.\nAnswer: 75.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 117*w + 471. Let y be b(-4). Let p = -13 - -18. Suppose -4*f - 4 = 0, -y*c + 4*f - p = 6. Put c, -3, -4 in ascending order.\nAnswer: c, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4499 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 334074 and 334070 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15394493.42 rounded to the nearest ten thousand?\nAnswer: -15390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 177615112 to the power of 1\/2, to the nearest integer?\nAnswer: 13327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -22382 (base 9) in base 12?\nAnswer: -8755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-47)\/(-188))\/(1\/(-5))*-4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 2648*j - 99539. What is s(37)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(7) + sqrt(63)) + 1*(sqrt(7) + 1) + 0 + (3*-1*sqrt(175) - sqrt(175)) + sqrt(175) + sqrt(175))**2.\nAnswer: 30*sqrt(7) + 1576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 10. Let a be l(6). Let g = 23 - 18. Solve a*b = -4*u + 12, 15 = b + 4*b - g*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 14 = -2*p - p, -3*p + 9 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85\/146 - -6\/73. Let x = -169\/12 + 40\/3. Let l(d) = -d - 12. Let n be l(-7). Which is the nearest to n? (a) p (b) -6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414*s**3 + 408*s**3 - 196*s**3.\nAnswer: 626*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -0.5, 0, 1719, -2.3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*y + x, -3*y - 3*x + 35 = x. Suppose -5*z - 46557 = 5*b - 391582, y*z + 344975 = 5*b. What is b rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-10) - (-153)\/(-15). Let w be (k\/(-4))\/((-2)\/(-4)). What are the prime factors of w\/(-3)*(1 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -21.57. Let j = g - 0.234. Let s = -0.259 - j. Round s to two decimal places.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-16)*0\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**5\/20 + u**4\/12 - 7*u**3\/6 - 3*u**2\/2 - 88*u. Let w be i(-3). Which is smaller: w or -1\/104?\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 56, 84?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1235.7 + -669.48. Let t = l - 541.223. Let h = t + -25. What is h rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 5)\/(0 - 2\/11). Calculate the highest common factor of f and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924 = c - 133*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -217707*t**4 - 353*t**3 - 2663*t**2 - 3297 wrt t.\nAnswer: -5224968*t - 2118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6694599 or 6694520?\nAnswer: 6694599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 41, 69, 99, 131, 165, 201, 239?\n\"Answer: a**2 + 25*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.92 - -0.08. Which is the closest to 2? (a) d (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -828\/11 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 74\/9, 7, -1823?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-7)*-2 - -1. Suppose 2*t + 1 = 3*t. Let m(f) = -t + 1 - d*f + 2*f. Let r(a) = -65*a. Determine m(r(x)).\nAnswer: 65*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 11*u**2. Let w(k) be the first derivative of -739*k**2\/2 + 4428. Calculate i(w(n)).\nAnswer: 6007331*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 3*m - 42. What is the smallest common multiple of m and 22*2*(-1)\/(-2)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(405) - sqrt(405)*-1)*3 + 5)**2 - ((sqrt(405) + 0 + -3)**2 + (sqrt(405)*1 + -5)**2 + sqrt(405))*2.\nAnswer: 1890*sqrt(5) + 129557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + 0 + sqrt(132)\/sqrt(300).\nAnswer: 61*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3781 - 3781. Solve b = 4*k + k + 4*f - 3, 4*f + 6 = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnlsljrqs. Give prob of sequence sllj.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 0*z. Let v(i) = -53*i - 265. Let f be (-7)\/56*-8*-5. Let o be v(f). Solve -c + o*c = z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110904 divided by -4\nAnswer: -27726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -7f?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b**2 + 4*b - 17. Let d(i) = -10*i**2 - 4*i + 19. Let u(o) = 6*d(o) + 7*y(o). Let w(z) = z - 1. Calculate -u(v) + 5*w(v).\nAnswer: -3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10}. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.592 minus -1069464792053?\nAnswer: 1069464792052.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32861686?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 218251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j - 9 + 0*j**2 + 6*j**2 - j**3 - j**2. Let l be r(6). Let w be ((-2)\/(-21))\/((-6)\/l). What is the closest to 2\/3 in -1\/4, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-15) + 13\/3. Suppose -184 = -7*o + v. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 311*c - 309*c + 4, 2*c = 4*w - 16. Solve 2 = 2*n - 2*b, 7 = 11*n - 6*n - w*b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 13 - 16 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-53844)\/(-16) - 2\/(-40)*-5. Suppose 12*y = 7*y + z. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.6, 1\/3, 0.09 in increasing order.\nAnswer: -9.6, 0.09, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81391 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*o = o - 155199988, 5*o = d - 38800015. What is d rounded to the nearest one million?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:52 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 934.7325 millilitres in litres?\nAnswer: 0.9347325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.560792 to 1 dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -13.9. Let b = l - 10. Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475823?\nAnswer: 475823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350, -463, -576?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6 and 59\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 3*f. Let i be w(-5). Let h = 67 - i. Sort -6\/5, h, -5.\nAnswer: -5, -6\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3703 is divided by 1548?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*i - 22*i - 4*i + i to the form a + b*i and give b.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/1200*10)\/(1\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 10, 52, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83572.\nAnswer: 2, 17, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from xxhxxhxfhhx.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.99 - 0.01. Let w = -45.1 + 45. What is the nearest to w in k, 3\/2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7324519885?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(4 - 3 + 0) + 3 - 1 - 3 - 4 + 5 + 6)*(-3 - 2 + 2)*(-2 + 3 - 11)*((2 + d - 2)*(-d**3 - d**3 + 4*d**3) + d**4 + 0*d**4 + 0*d**4).\nAnswer: 720*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 1:35 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 times -2?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r + 24*r + 5*r + (-r + 3*r - 3*r)*(4 - 1 - 4) - r + r + 7*r + (2*r - 3*r + 0*r)*(-1 + 1 - 2) + 2*r - 2*r + r.\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4971 + -1878090663\nAnswer: -1878090663.4971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.453 + 228.453. Let n = y - 226.93. Round n to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*x - 44 + 24*x - 13*x - 2*x**2 + (-6*x + x + 3*x)*(x + 0 + 0) to the form t*x + u*x**2 + g and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -28*y - 5. Let l(w) = -27*w - 4. Let s(f) = -3*l(f) + 2*u(f). Is s(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 * 0.1\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.942564 + 0.057436. Let z = -1.1 - -0.8. Which is the second smallest value? (a) z (b) k (c) -0.4 (d) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**4\/4 - 11*d**3\/6 + 2*d**2. Let t(r) = 7*r - 12. Calculate 6*q(m) - 5*t(m).\nAnswer: m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10d (base 14) in base 8?\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0*w**(4\/9))\/(w**(1\/6)*w*w**(-7)\/w))\/(w**(7\/4)\/(w\/(w*w**(2\/13)))*w**(-3\/8)\/w**7) assuming w is positive.\nAnswer: w**(12869\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 884, 645, -14, -1303, -3432, -6611, -11050, -16959?\n\"Answer: -35*o**3 + 6*o + 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(95)*2)\/sqrt(5) - sqrt(19) - sqrt(171)*1 - ((sqrt(171) + (sqrt(171)*1 - sqrt(171)))\/sqrt(9) + sqrt(133)\/(sqrt(28)\/sqrt(4))))*6 + -4)*-6)**2.\nAnswer: 6912*sqrt(19) + 394560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -102853 and 5?\nAnswer: -514265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/400064 and 43\/12.\nAnswer: 1200192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -44*j - 3434. Determine w(-78).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 2*r - 3. Let w be d(2). Let j be 12129\/(-27) + 2\/w. Let s be j\/(-5) + 1\/5. What is s rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 27 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 7, 957.\nAnswer: 2, 3, 7, 957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 11826 = t, -4*n + 47307 = -5*t + 4*t. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100021020 (base 3) to base 13.\nAnswer: 17cbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 12) in base 8?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18885 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 978 - 30 = 40*i - 12 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/3*(-8)\/32?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.3, 0.05, -5\/4, -6 in increasing order.\nAnswer: -6, -5\/4, 0.05, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2. Let k(x) = -10*x - 4*x - 17*x + 2*x. Determine k(j(n)).\nAnswer: 58*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3 + 3. Let r = 1.3 + l. Let j = -2 + r. Is -1\/3 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 355, 391, 495, 703, 1051, 1575?\nAnswer: 2311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v\/v**(-4))**(-4\/13) assuming v is positive.\nAnswer: v**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -18*w - 78, -4*w + 503 - 532 = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 124.25?\nAnswer: -128.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enkqo. What is prob of picking 1 k and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 7.7. Let p = 1.38 - 2.18. What is the biggest value in p, k, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 747977144 to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x - 7. Let m(r) be the second derivative of -4*r - 36 + 2\/3*r**3 + 5\/2*r**2. What is -8*m(k) - 5*w(k)?\nAnswer: -2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 319? (a) 1\/56 (b) 8\/9 (c) -0.5 (d) -0.1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 867944\/27 or 32147?\nAnswer: 867944\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.5542083 rounded to zero decimal places?\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2126, 2064, 2002, 1940, 1878, 1816?\nAnswer: 1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1 + 2.3. Let j = 1.8 + k. Which is the closest to 1\/3? (a) 1\/6 (b) 2\/11 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 0 + sqrt(2) + -5 - (sqrt(32)\/sqrt(2))\/sqrt(8)) + -3 + -3)**2.\nAnswer: -22*sqrt(2) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 4*h**2 + 5*h + 3. Let x = 1 - -3. Let b(v) = -x - v**3 - 5*v**2 - 2*v - v - 3*v. Let c be 2\/9 + 94\/(-18). What is c*f(u) - 4*b(u)?\nAnswer: -u**3 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(2\/69)*n))\/n)**(-2) assuming n is positive.\nAnswer: n**(272\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -395, -36, 1\/83, 5\/4?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.1 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 38621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1204*t + 29290. What is m(24)?\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 22 + 5)*(3*n + 0*n - 4*n)*(n**2 + 4*n**2 - 2*n**2).\nAnswer: 108*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 591199 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216 + 216 - 19*l**3 - l - 423.\nAnswer: -19*l**3 - l + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8. Let x(q) be the first derivative of q**3\/3 + 9*q + 4420. What is 4*i(y) + 3*x(y)?\nAnswer: 3*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 239*k**4 - 3*k**3 + 1020*k**2.\nAnswer: 5736*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 6*w**2 - 8*w - 1. Let a be n(-7). What is the tens digit of ((-4)\/a)\/((-890)\/(-225) + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 at most 447\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135 - 160. Let i(u) = u**2 + 31*u + 160. Let f be i(x). Solve -2*q - z + f = 2*z, 3*q + 5*z - 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123471 and 4101?\nAnswer: 168784857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10110, -10111, -10112?\n\"Answer: -u - 10109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(63\/(-6))*(3294\/(-156) - -21)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-83 + 182*j + 82 + 131*j)*(-3*j**2 + 3*j**2 - 2*j**2)*(-j + 2*j + j) to the form p*j**2 + q*j**3 + s*j**4 + d + l*j and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*r**2 + 63557*m*r + 3*m + 2*r**2 - 6063711*r wrt m.\nAnswer: -2*r**2 + 63557*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 211181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 267 = 41*v - 42*v, -3*o = -5*v - 1312. Put 5, -1, v in ascending order.\nAnswer: v, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 5. Let m be 1 + (-10)\/5 - -88. Let r = -87 + m. Suppose 4*n - 31 = 5*j, 3*n - j - 15 = -r*n. Let d(v) = v - 4. Give n*c(o) + 5*d(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6604 + 6604. Solve k = -5*r + 10, 2*s + 0*r = -4*r + 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -775 by 4.\nAnswer: -775\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/120 + 7*s**5\/60 + 5*s**3\/6 - 7*s**2. Let l be m(-7). Suppose 0 = -5*f + y + 479, -l*f + 360 = -f + 5*y. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -2. Let m be (-456)\/(-21) + (-10)\/(-35). Let l = m + y. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139620, 139609, 139598, 139587, 139576, 139565?\nAnswer: 139554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v + 5. Let n(u) = 14*u - 14. Calculate -4*n(i) - 11*y(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158060*w**2 + 1105*w - 1105*w.\nAnswer: 158060*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3818 + 3818 + t + 136*t**2.\nAnswer: 136*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**4\/8 + 23*d**3\/3 - 1767*d**2. Determine b(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.3117754 to one dp.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 80 = -75, 5*r - 3*l = -10. Let g = 0 + 1. Let h = -67.4 - -68. What is the third smallest value in r, g, h, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 36 = 2*m - 5*y, 3*m + 54 = 4*y. Let o be ((-2)\/6)\/((-6)\/m) - -28. Is 1766\/9 - ((-24)\/o)\/(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29572, -59130, -88666, -118180, -147672, -177142, -206590?\nAnswer: -236016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228)*1*5 - sqrt(228))*4*5)\/(sqrt(300)*2*-3 + (sqrt(300) - -2*(sqrt(300)*2 - sqrt(300)))))**2 + 0.\nAnswer: 4864\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnqpvnnffccv. What is prob of picking 1 n and 1 q?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 11 - 21. Solve 20 = -4*q + 3*k, -3*k = 2*q + 2*q - y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 13*v**2 - v + 20. Let h be f(-7). Let c = -268 - h. What is the nearest to c in 4, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/5)\/y*y)**(1\/15) assuming y is positive.\nAnswer: y**(1\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 1, s: 5, t: 3, u: 3, b: 2}. What is prob of sequence pt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -73\/4. Sort 4\/31, 0.4, m in decreasing order.\nAnswer: 0.4, 4\/31, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 0)\/(-12) - 2\/12. Sort x, -3, -6, 1 in increasing order.\nAnswer: -6, -3, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2524391.\nAnswer: 571, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*k - 104 = 129*k. Sort 4, 0, k in decreasing order.\nAnswer: 4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/16*14 + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2080318178?\nAnswer: 2, 31, 33553519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 284740118 - -0.007.\nAnswer: 284740118.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-1200)\/(-135))\/20)\/(1\/(27\/(-6))). Let h(v) = -v. Let i(y) = -4*y**2 + 3*y + 2. Let x(m) = -6*h(m) - i(m). Give x(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -5. Calculate the lowest common multiple of g and 255.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*f - 12*f - f**2)*(1202 + 189 - 722)*(-1 + 10 - 7) in the form t*f + l + i*f**2 and give i.\nAnswer: -1338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/393 + -10615\/786. Let q = 2051 + -2053. Which is the third biggest value? (a) 2\/3 (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from {h: 1, e: 3, o: 2, u: 1, k: 1, l: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(48) + -4).\nAnswer: -8*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028896142 a multiple of 1194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10130332203 (base 4) to base 8.\nAnswer: -4347643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 4*n + 8. Let x be z(6). Let u be (-2)\/(x + 40\/12). Suppose -u*i + 0*i + 12 = 0. Solve -9 - 2 = 3*j + i*w, -10 = j - 5*w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, k: 7, n: 1, c: 4}. Give prob of picking 1 l and 3 k.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 5423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 10:49 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2 - 8 = 0. Let q(d) = -i*d - 2*d**2 + 11*d - 9*d. Let y(h) = 30904 + 18*h**2 - 30904. What is q(y(j))?\nAnswer: -648*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 7*i - 42. Let q be t(-11). Let o(m) be the third derivative of 0*m**3 - 1\/390*m**5 + 0 - 8*m**q + 0*m + 0*m**4 - 1\/780*m**6. Factor o(d).\nAnswer: -2*d**2*(d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/10 (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -135, -427, -1091, -2271, -4111?\n\"Answer: -24*p**3 - 42*p**2 + 2*p - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 14*w**2 + 12*w + 22. What is i(12)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 776638437 divided by -4\nAnswer: -776638437\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbzz when four letters picked without replacement from ztttdbzdzsbzzbzzb.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 6. Let i(c) = c - 4. Let r(y) = 2*y - 3. Let h(p) = 4*i(p) - 3*r(p). Let q(z) = z**2 + 23*z + 82. Let b be q(-19). Determine b*x(v) - 5*h(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1111001111010110110001?\nAnswer: 1111001111010110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7016992921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8112272 divided by -7?\nAnswer: -1158896","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 16 - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x = 20, 5*l - 4*x = 75. Suppose 0 = -5*g - l + 144. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -596 (base 10) to base 14.\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 27*g + 1481. Calculate m(5).\nAnswer: 1616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52623, -105031, -157425, -209799, -262147, -314463?\nAnswer: -366741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*l + 2*l. Let d be (-3 - -4)\/(2\/26). Sort d, -1, l.\nAnswer: -1, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:20 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + d = 37, -4*h + 9*h + 89 = -142659*d + 142661*d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.36 + -0.63. Round p to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2564?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 58793061 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 q be (-7)\/(-4) - 3\/(-12). Let b(i) be the first derivative of 0*i**q + 4\/3*i**3 + 3\/2*i**4 + 5 + 0*i. What is the third derivative of b(f) wrt f?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 368 in -0.1, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 299, 449, 599, 749?\nAnswer: 899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*v = -679*v - 5*c + 60, -2655*v + 2654*v + 4*c = 63 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -81*o + 19. Let b(a) = -47*a + 19. Let s(l) = -3*b(l) + 2*n(l). Determine s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -221174125 and -0.3.\nAnswer: 66352237.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 6*f**2 + 3*f + 9. Let u be h(-9). Suppose g - 10*g + u = 0. List the prime factors of g.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y**4\/9 + 137*y**3\/3 - 5762*y**2\/9 - 2660*y\/3 - 200 = 0. What is y?\nAnswer: -1, -2\/7, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 - 5*y + 2. Let w be v(5). Let p = 80 + -43. Let n = w - p. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-5)\/c)*c*c**(1\/4)*((c\/(c\/(c\/((c*c**1\/c*c)\/c))))\/c)**(2\/35))\/((c\/c**(-1\/2))**(-42)*(c*c**(4\/3))\/c**7) assuming c is positive.\nAnswer: c**(31861\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -403*c - 3. Let d(z) = 271*z + 2. Let i(b) = -3*d(b) - 2*q(b). Let s(n) = 1139*n. Determine i(s(r)).\nAnswer: -7973*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 23*y + 40. What is g(4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -207 - -98. Find the common denominator of c\/(-12) - 0\/(-6) and 37\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3072 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(0*w**2 + 3*w**2 + 0*w**2) + 2*w**2 + 2*w**2 - 2*w**2 + 0*w**2 + 2*w**2 - w**2 + 2*w**2 + w - w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367599031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 5*q + 50, 3*s - 369396*q = -369391*q + 38 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 2 - 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4567 = -0*q - 5*q, -3*q = 4*g - 4569. Let z = 804 - g. Let p = 98 - z. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.3, -5, -2, 7, -364, 7.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - 1\/((-1)\/2). Let x be (-1)\/4*-2*v. Let u(b) be the first derivative of b**3\/3 - b**2 - 4*b - 54. Calculate u(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**4 - 38*r**3 + 142*r**2 + 232*r - 206. Let t(p) = -p**4 + p**3 - p**2 + 2*p - 1. Let h(o) = l(o) + 10*t(o). Solve h(b) = 0.\nAnswer: -3, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -25.8, -1862, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9898, -24, -46 in decreasing order.\nAnswer: -24, -46, -9898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-40)\/6)\/(4\/(-30)). Let o be (9 - 7) + 1 + 7. What is the highest common divisor of w and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6700, 13401, 20102, 26803, 33504?\nAnswer: 40205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, i: 8, l: 2}. Give prob of picking 2 r and 1 i.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9)*(-9)\/4)\/(52\/(7904\/1197))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -31*t**3 + 4*t**2 + 10*t + 8. Determine d(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1548858*h**2 + 548468*h.\nAnswer: 3097716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 + (-5 + -343 - 5). Let u = m + 343. Put u, -3, 34 in decreasing order.\nAnswer: 34, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -24*f - 14. Let i(p) = -5*p - 3. Let u = -1 + 6. Suppose -2*h + 2 = -r - 0*r, -u*r + 5 = -5*h. What is h*y(s) - 14*i(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((260\/(-39))\/4))\/1\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 1 - 4. Let o be 3\/(-9) + 1\/1. Let m = -13\/15 + o. Which is bigger: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1.7 (c) 0.0657\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -344889.7.\nAnswer: -344885.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*r - 60*r - 10. Let v be (1502 + r)*(-3 + (-24070)\/6). What is v rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o + 3*r = -30, 2*o + 4*r = 228 - 222 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 - 40. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q + 1. Let h be j(1). Let y be h\/(-10) - (-166)\/10. Solve -7*n + y = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 6*x**2 - x - 3. Let y be h(5). Let f be (-2)\/(-5) - (-1341)\/(-40). Let d = f - y. Are -1 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -396.840156 and 1.\nAnswer: -396.840156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 + -1.55. Let y = 2 + w. Sort -2\/5, 0.3, 2\/3, y in descending order.\nAnswer: 2\/3, y, 0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**5\/60 - p**3\/3 + 2*p. Let u(c) be the second derivative of w(c). Let b(n) = 3*n**2. Determine b(u(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*m + 98 = 0, a = 4*m - 3*m + 92. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**0)**(3\/13)*(o**1)**28 assuming o is positive.\nAnswer: o**(367\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -110010002212?\nAnswer: -110010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:08 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eye when three letters picked without replacement from {y: 9, e: 5}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 + -99. Let w(a) = -4 - a**2 + a**3 - a + 0*a - 2*a. Calculate w(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -15\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -69. Suppose 0 = 28*v - 32*v + i. Solve -10 + 39 = 5*f - 3*y, v*f = -y + 13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**5 - 57277*f**4*h + f**4 - f**2*h + 2*f**2 - 1883*f*h + 48*f + 2 wrt f.\nAnswer: 60*f**2 - 1374648*f*h + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -20, 5*s - s + b - 312 = 0. Is 74 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 - 38?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/(-9))\/(1\/(-3)). Let j = 21 + i. Suppose -4*t = 5*a + j, -a - 2 = -3*t - 1. Solve 0 = 3*q + 9, t = -0*d + d + q + 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76010\/(-106414) + (2\/(-28))\/(1\/(-542))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -412 + 12?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38623 - 20774. List the prime factors of m.\nAnswer: 13, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -43*n**3 - 1. Give q(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x = 4*o - 80, 3*o = -x + 79. Suppose 2*u = 7*u + o. Let q(z) be the third derivative of z**6\/120 + z**5\/12 + z**4\/8 + z**3\/3 + 13*z**2. Give q(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -25. Let q be (0 + b)*176\/(-56) - 3. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210 - 214) + (2 - 14) + 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.2069 rounded to two decimal places?\nAnswer: 82.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 45. What is the closest to -0.1 in 3, -0.6, i?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11421 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -497 + 266 - 2*m**3 + 5*m - m**4 + 237 + 3*m**2 to the form q*m + p + w*m**2 + v*m**3 + l*m**4 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 2. Let r(u) be the first derivative of -u + 80. What is -q(x) - 3*r(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 390401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-21)\/(-3))\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 2*a + 56. Determine k so that -1647*k**2 + a*k**3 + 1639*k**2 - 50*k + 2*k**4 + 18*k = 0.\nAnswer: -4, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 - (-1)\/((-1)\/2). Suppose -2*t + u = -0. Suppose -t*y - y + 90 = -5*n, 26 = 2*y + 3*n. Calculate the greatest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14539873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4252\/(-6)*((-3234)\/(-88) + -24). Which is smaller: n or -9036?\nAnswer: -9036","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1463.9 + -1428.9. Which is bigger: k or 161\/2?\nAnswer: 161\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868930597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 6*d + 2*d + 29, 4*f = 3*d + 22. Solve 0 = -2*y - 5*r - 22, 0 = -3*y + f*r - 6*r + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 22*r**2 + 51*r + 75. What is the tens digit of y(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 17*q**2 - 6*q - 15. Let r be f(-12). Suppose 2*h = 5*p - 0*p - r, 5*h = p - 160. What are the prime factors of p?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + r + 3*r - 44*r**2 - 5*r + 4*r.\nAnswer: -44*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 1, w: 2, q: 1}. Give prob of sequence cw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 979\/14 - 139\/2. Suppose 33 - 9 = 24*g. What is the nearest to g in c, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -347, -519, -689, -857?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73594*q + 43914*q - 11924*q - 8749*q + 310*q.\nAnswer: 97145*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**3 + i**2 - i + 1. Determine n(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 6 + 9. Let j(i) = i - 2. Determine j(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12092*x - 3 - 12100*x + 24237*x.\nAnswer: 45*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/13 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 16*p - 17*p. Solve 8 = -p*y - 0*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qasppasss. Give prob of picking 1 s, 1 p, 1 a, and 1 q.\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382136508?\nAnswer: 2, 3, 13, 47, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**3\/3 - 17648*a**2 + 2530732*a + 7645144\/3 = 0. Calculate a.\nAnswer: -1, 146, 13091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 257947 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - i**2 - i. Let y = -4 - -8. Let u = y + -4. Let z be n(u). Sort 2, -5, z in increasing order.\nAnswer: -5, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 35. Let m(j) = j + 11. Let b = -49 - -42. What is the remainder when f is divided by m(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 16. Suppose 3 = -4*m + w. Suppose m*y = 34 + 50. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**5\/20 - 7*s**4\/12 - 3*s**3\/2 - 7*s**2 - 23*s. Let z be g(-6). Solve -9 = z*f + 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -6 (c) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-1 - -16 - -11) - 20?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14959968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -10*f - 26. Let h be w(-3). Suppose -h*g = -j - 16, -2 = g - 6. Suppose j = -5*d + 50 + 1060. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101111010111101 (base 2) to base 9.\nAnswer: 146145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from kktkgkkgkctggfk.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 189*k**2 - 8*k + 6. Let m(c) = -408*c**2 + 16*c - 14. Calculate -5*a(r) - 2*m(r).\nAnswer: -129*r**2 + 8*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n. Let z be i(3). Let h(s) = 3*s**3 - 2*s**2 - 2*s - 4. Let k be h(z). Suppose 0 = 5*p - 5*d - 260, 2*p + 4*d - 21 - k = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42316864561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 527 + -306. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 27. Let m(c) = -c**3 + 34*c**2 - 61*c - 94. Let j = -290 + 322. Let p be m(j). Solve p*b - g = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -455, 1 in decreasing order.\nAnswer: 1, -1, -455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2543*z**3 - 1452 wrt z.\nAnswer: 7629*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 14*j + 16. Suppose -2*a = -0*a + 26. Let f(t) = -3*t**3 + t**2 + 3*t + 5. Calculate the smallest common multiple of c(a) and f(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-45))\/(86284\/(-194139))?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.1367, 415, -4?\nAnswer: 415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3127.\nAnswer: 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3431 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and 1.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6083895 and 56.\nAnswer: 340698120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 971 and 3.\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/561 and 146\/44 - (-6)\/42*(-14)\/4.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggf when three letters picked without replacement from ggff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 4:41 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/6 + 5*x**3\/6 + 11*x**2\/3 + 8*x\/3.\nAnswer: -x*(x - 8)*(x + 1)*(x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.03 + -0.83. Let s = -0.1 - -0.1. Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -12*n**2 - 619*n + 3. Let p be j(-51). Let g = -32 + 77. Calculate the highest common factor of p and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 10:13 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1067206 is divided by 355688.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 6 - 18. Let r(d) = -2*d**2 - 31*d + 239. Let o be r(-21). Which is smaller: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 401 + -1195\/3. Let s = t - 7\/3. Which is the smallest value? (a) -2 (b) 4\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, t: 1, c: 1, j: 2}. Give prob of sequence jcj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -728, -2\/17 in increasing order.\nAnswer: -728, -0.2, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6 - 1 + 0 - m. Suppose -22*n - 1393 - 1599 = 0. Let t be -6 - (16\/n + (-261)\/(-51)). What is a(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -0.5. What is the closest to c in -0.1, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l. Let b(x) = -1848*x. Determine b(a(u)).\nAnswer: -7392*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiiiiiiiiiyiyyiiii. What is prob of picking 3 y and 1 i?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 375*b + 379*b = -68, 7*w + 0*b + 153 = 3*b for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-954567)\/(-15) - (-24)\/(-30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2 + 3*s**2 - 5*s**2. Let n(t) be the first derivative of -6 - 1\/2*t**2 + 0*t. Determine n(k(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11525565, 11525562, 11525559?\n\"Answer: -3*l + 11525568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51893 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 12:39 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 5)*(8\/2 + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 6*o**2 - 6*o + 9. Let r = -5698 - -5694. Calculate l(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49 or 19?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5741430 and 340470?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**3*o*o**6\/o)\/((o**(-2)*o)\/(o\/o**(1\/2))) assuming o is positive.\nAnswer: o**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -12 - 9 - 3*x + 7 + 2*x. Determine f(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/16 + 25\/48. Let a = 133653 - 1202875\/9. What is the third biggest value in -122, a, i?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*b = 8, 5*b - 2*b + 23 = 2*m. Let a be ((-2 - -1) + 0)*-13. What is the highest common factor of m and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7112593*q**2 + 2*q + 7. Let x be r(7). Let t = 609207795073\/1748 + x. Let h = -6\/437 - t. Find the common denominator of 31\/8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010001100 (base 2) in base 4?\nAnswer: 322030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0 + 30 = 0. Let y = 4 + k. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/3))**(2\/73)*h*h**(-2\/3)*h**(-1\/12) assuming h is positive.\nAnswer: h**(259\/876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 378*c**3 - 3797*c wrt c?\nAnswer: 2268*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t = 0. Let n be 4 + 1 + t\/(-2). Suppose 8*o - n*o = 381. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 38. Let y = r + 10. Let p = y + 6. Is p < -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41000 to the nearest one thousand.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**4 - 33*s**3 + 54*s**2 - 16*s = 0. What is s?\nAnswer: -8, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 174, 198, 242, 312?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8*a + a**2 + 7 - 7 + 1. Let l be f(9). What is the greatest common factor of l and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -11*i**2 + i - 1. Suppose 111 = 4*c - 0*c + 3*x, -140 = -5*c - 5*x. Let m = -26 + c. Determine n(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5616 and 86773.\nAnswer: 487317168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/20*(-20)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2354, -2, -1128, -5 in decreasing order.\nAnswer: 2354, -2, -5, -1128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -227116, -227127, -227152, -227197, -227268, -227371, -227512?\n\"Answer: -g**3 - g**2 - g - 227113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4660 and 107\/40?\nAnswer: 9320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**3. Let s be 36\/8 + (-1)\/(-2). Let a(v) = -v**2 - 36*v - 125. Let q be a(-21). Let c(h) = -95*h - 95*h + q*h + 7*h**3. What is s*j(t) + 2*c(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12162*p - 149?\nAnswer: -12162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*n + 0)*(-2*n + 4 - 4)*(n**2 + 0*n**2 + 0*n**2).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -10 + (39 - (27 - -15)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 35 = -19*q. Suppose q*y + 990 = 5*a - 0*y, -4*y = -a + 192. Let k = a - 128. Calculate the remainder when k is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135*v**2 - 276*v**2 + 24*v + 138*v**2 + (-5*v + v - 2*v)*(-2 + 2 - v) to the form j + p*v**2 + k*v and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -220 + 2495. Suppose -4*t = -17*t + n. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1031 (base 4) to base 8\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -39777 (base 13) to base 15\nAnswer: -2195c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -195\/64 - -1493\/448. Which is the smallest value? (a) 2 (b) 4 (c) 26 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324873910?\nAnswer: 2, 5, 17, 277, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -8*q**3 + q**2 + 2*q + 1. Let z be u(-1). Suppose 12 + z = -4*r. Let l(g) = -g**2 - 11*g - 15. Let p be l(-9). Sort r, p, 4.\nAnswer: r, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 7\/10 (c) 0 (d) -5 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3 (b) 2 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -28, 4, 72, 188, 364?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w + 5. Let c be q(6). Let m = 3 - -1. Suppose -5*s = -l - m*l + c, -3*l = 3*s + 9. What is the third biggest value in 1, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 14045.\nAnswer: -4, -3, 14045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, o: 3}. Give prob of sequence xoxx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 502686 and 5102028?\nAnswer: 4698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 166*w**3 + 16*w**3 - w**2.\nAnswer: -150*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2\/11 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 55\/2. Suppose 19 = 2*o - 79. Let h = 342\/7 - o. What is the nearest to -1\/3 in h, s, 1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 13\/30*r**6 - 5*r**2 + 1\/3*r**4 + 9\/10*r**5 + 1\/15*r**7 - 4\/3*r**3 + 0 + 8*r. Factor b(x).\nAnswer: 2*(x + 1)**2*(x + 2)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -11 (c) -4 (d) -1\/5 (e) 910\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, -1, 0, -23.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 89*t - 1892. Calculate l(50).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -1 - 6) + 1 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**3 - 5*k**2 - 47. Let q(y) = -6*y**3 + 7*y**2 + 70. Calculate -7*j(b) - 5*q(b).\nAnswer: 2*b**3 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551*m**2 - 266*m**2 - 279*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 1:06 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34814253?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 = 2*u - 0*h, -h = 0. Let m be (-57)\/u - 21\/(-35). Let q be (1 - -1)\/(1\/2). Calculate the greatest common factor of m and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190 + 36*h + 190 + 409*h**2 - 28*h to the form d + b*h + v*h**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g - 13. Solve -u + 3 = 4*x, -g = 5*u + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24113036, -96452141, -217017316, -385808561?\nAnswer: -602825876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5. Suppose m = -4*f + 23 + 13. Solve 0 = -5*n + 2*n - f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (3 - 0) + -7 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q + 12. Let i(c) = 5*c - 11. Let g(v) = -4*i(v) - 3*y(v). Suppose 0 = -3*d + 4*d. Suppose 2*o + d = -12. Let w(m) = 1. Calculate o*w(b) + g(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 660.5007 kilograms to grams.\nAnswer: 660500.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwwuexxwwuwwu. Give prob of picking 1 w, 1 u, 1 e, and 1 x.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1682529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 83*t**2 + 76*t + 676. What is m(84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -276722, -553623, -830524, -1107425, -1384326?\n\"Answer: -276901*a + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 3:07 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 4*k + 0*k)*(3 + 11 + 8 + 9)*(-4086 + 2011 + 1984).\nAnswer: 2821*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 18\/83, -0.4, -1?\nAnswer: 18\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 40*s**3 - 2*s**2 + 3*s - 5. What is the remainder when h(2) is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*h - 308*h + 416*h = 4389 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-44)*(2960\/(-32) - 1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 480*n**3 + 528*n**3 - 1 - 1016*n**3 + 2.\nAnswer: -8*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -730 - -753. Solve -2*a + 3*u + i = 7, 4*a + u - 4 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/10 + (-3)\/(-5). Suppose 0*w + p*w + 2*r - 7 = 0, -19 = -5*w + 4*r. Let a(t) = w*t - 4 + 10 - 6. Let v(x) = -x. What is v(a(q))?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.01 - -52.01. Let u = 50.99999518 - f. Round u to 7 dps.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 20 = c. Let h(m) = m**3 - 4*m**2 + 2*m - 5. Let f be h(c). Suppose 5*x = 6 - 1. Solve -2*t - 2*o = -4, 3*o - o - x = -f*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8685145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.69 - -23.19. What is the nearest to -0.8 in g, 3, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 220010?\nAnswer: 212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 69.07543 days?\nAnswer: 5968117.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3536 and 1007396.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1793 and 114631.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168520 is divided by 15048?\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1285887 or -1285882?\nAnswer: -1285887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 32. Let u(g) = g + 16. Let m(a) = -5*u(a) + 2*z(a). Let o be m(-17). Is ((-154)\/(-6))\/((2\/6)\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 - 29 + 12*f**2)*(55 - 210*f + 105*f + 109*f) in the form b*f + j*f**3 + n + v*f**2 and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 11*h**7\/840 + h**5\/30 + h**3\/3 - 19. Let g(k) be the third derivative of i(k). What is the second derivative of g(d) wrt d?\nAnswer: 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 19*o + 119. Let c be a(24). Let w(q) be the second derivative of -q**4\/4 + 16*q + 3. Give w(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let p(w) = 29*w**2 + 17. Let t(r) = -10*r**2 - 6. Let h(g) = -3*g + 3. Let f be h(3). Let u(x) = f*p(x) - 17*t(x). What is j(u(y))?\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 6:01 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4825231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 77 = -4*i, 23 + 83 = -5*i - 2*c. Let a = 20 + i. Solve a*t - s = 3*t - 13, -4*t + 30 = -5*s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 8 - 1. What is the units digit of -6 + 3 - -237*m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027666397 to six decimal places.\nAnswer: 0.000277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/(((-102)\/753)\/2). Let y = 369 + p. Let v = y + -13\/34. Sort v, -2\/9, 2.\nAnswer: v, -2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148893649.\nAnswer: 43, 1129, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9290250 is divided by 450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41572, 44607, 47642, 50677?\nAnswer: 53712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 3)*(-24*h + 54*h - 15*h)*(3 + 231*h + 0 + 2 - 4).\nAnswer: -10395*h**2 - 45*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-119)\/1071)\/(9\/(-44 + 8))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 3, -18, 5, 26 in increasing order.\nAnswer: -18, 3, 5, 26, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 - 4*w**2 - 3*w**2)*((3 - 2 + 1)*(1 + 0 + 0) + 2 + 3 - 6) as t*w**2 + y*w + s and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/4156 and -31\/4?\nAnswer: 4156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.9 + 1.1. Let i = -13 + l. Which is the second smallest value? (a) -0.6 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 411729525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + 6*t**2 + 2*t - 8. Let j be u(4). Let w = -235 + 153. Let g = j - w. Is 24 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 6. Let s be y\/1 - (8 + -6). Calculate the common denominator of 3 - (s - (-63)\/(-8)) and 83\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-126)\/(-2)))\/(3922\/954)\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -42084, -5, 5.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-8) - -1917*(-31)\/2511.\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**30\/(p*p\/p**(-5\/8)))\/(p**(-32)\/(p**(-19\/5)\/p)))**(-10\/7) assuming p is positive.\nAnswer: p**(-2183\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.056? (a) -3.5 (b) -28 (c) -2\/7 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.69 - -0.31. Let d = -0.7 - -1. What is the nearest to -0.1 in h, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.1346, -0.1, 2, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110 + -109. What is the closest to 0 in -0.4, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 235\/4 + -59. Let w = 1 + -1.8. Let o = w - -0.4. What is the nearest to u in o, -4, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlwjkmwjmkjlj. What is prob of picking 1 w and 1 m?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15997 divided by 7\nAnswer: -15997\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 2*a**7\/105 + a**6\/10 + 2*a**5\/15 + 159*a**2. Determine u so that y(u) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 15*h**3 - 5*h - 5. Let g(u) = -16*u**3 + 4*u + 4. Calculate 5*g(a) + 4*o(a).\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32874, 32873, 32872, 32871?\n\"Answer: -k + 32875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 64, 100, 204, 412, 760, 1284, 2020, 3004?\n\"Answer: 6*a**3 - 2*a**2 + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 127 + -10?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a - 1\/2*a**5 + 3\/2*a**4 - 2 - 11\/2*a**2 + 1\/2*a**3.\nAnswer: -(a - 2)*(a - 1)**3*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22, 3, 1\/2, 2\/19?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -3*u**5\/35 + u**3\/7 - 74. Let r(w) = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 2*i**2 - 5*i. Let o(t) = 57*t**3 - 2*t + 3. Suppose -d + 1 = -5*c, -c = -10*d + 6*d + 4. What is the remainder when o(d) is divided by m(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76404 is divided by 6054.\nAnswer: 3756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.6916 and -2579351548?\nAnswer: 2579351547.3084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8518, -8571, -8616, -8653, -8682?\nAnswer: -8703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3176927 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a century in months?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 11. Calculate the remainder when q is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 3*p**2 + 3*p + 5. Let n be m(4). Let c(q) = 102*q**2 + q. What are the prime factors of c(n)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.82 - -0.32. Let i = 6.6 - 7. Suppose 16 = -7*n + 3*n. Which is the smallest value? (a) s (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2692 and 1326483.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 62.17573ng?\nAnswer: 0.06217573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 5*y + 4*y)*(-25056 - 582*y + 25056) as v*y**2 + m + h*y and give v.\nAnswer: -6402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 718683 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -52b39f (base 16) in base 5?\nAnswer: -2341414220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(228)\/(sqrt(12)*-3) + -2 + sqrt(38)\/(-3*sqrt(2)).\nAnswer: -sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29, -97, -205, -353, -541, -769, -1037?\n\"Answer: -20*p**2 - 8*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100716 and 1906212.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 + 969*z**2 + 935*z**2 - 1655*z**2.\nAnswer: -2*z**3 + 249*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -43, -22, -5 in decreasing order.\nAnswer: -5, -13, -22, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 373*f**4\/12 - 113*f**2 - 698*f. What is the first derivative of q(u) wrt u?\nAnswer: 746*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 6*n. Suppose n*a - 10 = -5*a. Solve -a*h**2 + h**2 - 2*h + 4*h = 0 for h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/52)\/(27\/(-3024)*-28)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1\/5, 5, -568?\nAnswer: -568","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 3, o: 6, c: 4}. Give prob of picking 3 s.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1925 = 3*q - j, 1909 = 3*q - 8*j + 3*j. List the prime factors of q.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 - 12*k**2 + 27*k + 17. Is d(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*r, 0 = 2*f - 21*r + 24*r - 2397. What are the prime factors of f?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 4. Let f(b) = 4822466*b. Calculate r(f(w)).\nAnswer: -23256178321156*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1 (c) 16501\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10400546 + -3?\nAnswer: -10400552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b**2 - 3*b + 6. Let j(i) = 23*i**2 + 8*i - 18. Let t(d) = 3*j(d) + 8*x(d). Let u(c) = 4*c**2 - 5. Calculate 2*t(p) - 3*u(p).\nAnswer: -2*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -47, 3, -2.7, 11, 433\/5?\nAnswer: 433\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35815394807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/7)\/((-11)\/77). Let l(q) be the third derivative of -4\/3*q**3 + 0*q + 105*q**2 + 0 - 1\/24*q**4. Determine l(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(9 - t - 9)*(-3 - 3 + 4).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4 - 14*f - 10 + 5 - 5*f. Let u be (-3)\/6*-2 - 3. Is y(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1280)\/(-6))\/(-2)*-450. Suppose -4*o + o - c = 0. What is o rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 3:30 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.157 and 687.9.\nAnswer: 688.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01262528 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 6248262.\nAnswer: 1\/2082754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/(((-2)\/(-135))\/(7\/35))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -671 + 671.033. What is the smallest value in 4, -5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -9.6 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4716356.\nAnswer: 2, 47, 25087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -77791\nAnswer: 933492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13921116.\nAnswer: 2, 3, 11, 263, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.1*-0.2.\nAnswer: 5.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 8*c + 791 + 4069. Calculate the remainder when c is divided by 64.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 5*k + 530, -v + 2*k = -4*v + 784. Let j = -1121 + 1486. Let b = j - v. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*k + 4, -3*z - 6*k = -k - 29. Suppose -16 = -z*s - 1. What is the smallest common multiple of s and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 + 3*h**2 + 3*h + 1. Let q be c(-2). Let x = 19 + q. Let r = -44 - -69. Calculate the highest common factor of r and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 94?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 2:57 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -321032063 - 0.0778.\nAnswer: -321032063.0778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469059 = -10*m + 90655 - 2214. Is 49 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 47.8377 grams?\nAnswer: 47837700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + s**2 + s + 1. Let u(j) = -9*j**3 - 5*j**2 - 3*j - 3. Let f(i) = 3*q(i) + u(i). What is the third derivative of f(m) wrt m?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(2 + 0 - 4)*(-8*t - 21*t - 46*t) as o*t + n and give o.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21634159 to the power of 1\/2, to the nearest integer?\nAnswer: 4651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -5*s - 12, 4 = 4*m - 0*s + s. Let o be (-1)\/(m\/8) - -2. Let h be (-76)\/(-28) + (o - 1). Which is the nearest to 0? (a) h (b) 0 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -54*g**2. Suppose -6*o = 2*p - 3*o + 10, 4*o = 2*p - 4. Let s(r) = 6*r**2 - 5. Let j(f) = 2*f**2 - 2. Let l(q) = p*s(q) + 5*j(q). What is l(t(d))?\nAnswer: -5832*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from ewenwwewne.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -15*c + 3. Let m(x) = 45*x - 8. Let l(y) = -11*i(y) - 4*m(y). Let n(b) = b**2 - 14*b + 1. Let h be n(14). Determine l(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1253 - 2) + -2 + 0\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 40. Let q be 4 - 12\/(72\/(-114)). Let u = d - q. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3418 divided by -42?\nAnswer: 1709\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 370 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -29) + (3 - -2). Let h = -7 + k. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 7:38 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/11))\/(b\/(b*b*b\/(b*b\/((b**(-4)\/b*b*b)\/b))))*b**(-2\/3)\/(b**(-6)*b) assuming b is positive.\nAnswer: b**(50\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 0, 4*m + 4*l = -l + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m = 4*l - 38, -3*m - 65 = 2*l. Let o be ((-3)\/(-2))\/(9\/m). Suppose -z = -2*p + 1, z + 3*p + 5 = p. Is o >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 110*j**2 - 37*j - 23. What is the thousands digit of i(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**2 - 6*b**2 + 4 - 3 to z*b + g*b**2 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r - 495. Let n = 159 + r. Sort 2, n, 2\/3.\nAnswer: n, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.08, 0.1, 88867, 5?\nAnswer: 88867","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6)*15*3\/30.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36016601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(171)*-5 - sqrt(171))\/(sqrt(27)\/(-3*sqrt(3))).\nAnswer: 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.33 and -24?\nAnswer: -223.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -70227843 to the nearest 1000000.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**2 + 5*r + 9. Suppose 31*m = 26*m + 135. Calculate the smallest common multiple of l(-3) and m.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g**2 + 24 - 24)*(2*g + 0 + 0) in the form l*g**2 + z*g**3 + y*g + b and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-209 - 3*u**2 + 209)*(-1 - 1 + 4)*(2*u - 2*u - 2*u).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2904 and 1330824?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12ac (base 13) in base 12?\nAnswer: -1671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(12)\/sqrt(3)))\/(5*sqrt(192)).\nAnswer: sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 6)\/(2\/(-20)). Let b = 43 - u. Suppose 4*m = b*f + 261, -4*f - 15 = -2*m + 123. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, u: 11}. Give prob of sequence ukku.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265, 598, 931, 1264, 1597, 1930?\nAnswer: 2263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*x**5\/3 + 244*x**4\/3 + 548*x**3\/3 - 1112*x**2\/3 - 1936*x\/3 + 544\/3 = 0. What is x?\nAnswer: -2, 1\/4, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -96*m + 10. Let s(v) = -1. Give -10*s(d) - t(d).\nAnswer: 96*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 1 = w, -5*w - p - 2*p + 5 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*q + 3 = -85, 2*k + 5*q - 68 = 0. Calculate the highest common divisor of k and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 0*s**4 + 0*s**3 + 0*s + 1\/9*s**6 + 0*s**2 + 0*s**5 + 3. Suppose f(d) = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 719 - 24*u - 360 - 202 - 157.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 25 = 5*g, o - 2*o + 25 = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89\/180 - -1\/180. Let m(r) = -r + 1. Let w be (1\/(-1) + 3)\/(-1). Let y be m(w). What is the nearest to -2\/3 in g, -1\/7, y?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, q: 1, m: 1, i: 1, f: 2, p: 1}. What is prob of sequence paif?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4436 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -8. Let q(t) = 2*t**2 - 6. Let o be q(4). Let s = 30 - o. Solve 15 = b*w - s*g, g = 5*w - 2*g - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11176.1 - -11176. Which is the nearest to h? (a) -5 (b) 8\/13 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 6*v - 11. Let z be 2\/7 + (864\/28)\/(-3). What is the tens digit of a(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 16 = 3*s, -s - 4*c - 127 + 119 = 0. Let b = -2 + 0.1. What is the closest to 0.1 in s, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 672318, 672330, 672342?\nAnswer: 672354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 12*b + 29. What is k(13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100238945?\nAnswer: 5, 23, 871643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, r: 1, w: 4}. What is prob of picking 1 w and 2 o?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + h = -5632, 8*h - 2807 = -r + 13*h. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6 = -4*a + 6, 5*b = -a - 9. Suppose 4*g - 5 = 3*g. Sort a, g, -4, 3 in decreasing order.\nAnswer: a, g, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 3:53 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23052831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 + -83. Suppose 0 = -u - 2*u + 4*r + 14, -2*r = 2*u - 28. Suppose -u = 4*g + m. Let v(b) = -b**2 + 4. Determine v(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 9. Let n = -287 + 279. What is y(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5*n + 16921*d**5 - 5*d**2*n + 2*d**2 - 4*n - 22077 wrt d.\nAnswer: 60*d**2*n + 1015260*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 4, j: 1, o: 2, t: 1}. Give prob of sequence no.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 - 5*d - 5. Let o(q) = q + 1. Let g(c) = -l(c) - 5*o(c). Let b(s) = -12*s**2. Determine g(b(t)).\nAnswer: 432*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*x + 0 = -84, 4*l = x + 89. Let b(g) = g**2 - g + 2. Let r be b(2). Suppose -r*z + 36 = -z. What is the remainder when l is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(17\/3))\/s**(-2\/3))**21 assuming s is positive.\nAnswer: s**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**2 - c - c**2 - 2*c**2)*(43 + 34 - 9)*(-c - 2*c + 5*c) in the form z + y*c**2 + w*c + q*c**3 and give y.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*-2*(-2)\/60. Let v = 11 - 9. Let q = 18 + -31\/2. Which is the nearest to v? (a) k (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 22*f + 178. Let b(p) = 10*p + 90. Calculate -9*b(g) + 4*k(g).\nAnswer: -2*g - 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 43 - 25 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 142 or -2\/21?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a factor of 2338417405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-2 + -9 + -4 + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 + -108. Suppose 0 = d - v - 1, -v = -a*d + 4 - 0. Suppose 4*u - 3*y = -1400015, d*y - y + 1749990 = -5*u. Round u to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Suppose 5*h = -4*w - 58, -3*w = 12*h - 16*h - 34. Let i = 0.7 - -3.3. What is the second smallest value in i, a, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119 - -225. Let u = 118 - b. Let t(y) = -y**3 + 11*y**2 + 12*y + 5. Let f be t(u). Solve 3*m - f*z = -2*m, -m + 4*z + 6 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 3*v - 2*v)*(0*v**2 - 2*v**2 + 0*v**2) + (v + 1 - 1)*(v**2 + 2*v - 2*v) + 2*v**3 + 18*v**2 - 18*v**2 - 2.\nAnswer: -v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3185 divided by 245?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 207*s + 2696. Give b(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5.5 (b) -1 (c) -0.3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-9))\/((-8)\/(-1884)). Suppose 5*l = 4*x + c + 183, 10 = 2*x. Suppose 0 = -4*t + 52 + l. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -85, -111, -185, -331, -573, -935, -1441?\n\"Answer: -4*n**3 + 2*n - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 12. Let q be t(-12). Solve -5*i = -4*m + 28, m = -q*m + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(6*(-7)\/(-28))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 6*d**2 - d**3 - 11*d**3 + 12*d**3 - 3*d**3 + 6*d. Let l(p) = p + 0*p + p**3 - 2*p**3 - p**2. Give -6*l(t) + s(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/12 + (-217)\/(-42). Suppose -5*c + 4 = -2*y - a, -c - 9 = -4*y. Solve u + 5 = 3*g, 0 = -3*g - u + y*u + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7943*t**4 - 41*t**2 - 12*t - 7 wrt t?\nAnswer: -190632*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -18477?\nAnswer: 1847a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16347 + -16343. What is the least common multiple of j and 6099?\nAnswer: 24396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16256 + -16256. What is the nearest to 1 in n, -0.059, 0.1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 w when four letters picked without replacement from {w: 12, k: 1, g: 7}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32200 and 956800.\nAnswer: 6697600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47139247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -415 - -263. Let z = 180 + r. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.4 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*n + 206 = -j, 0 = -2*j - 9*n + 502. What is the remainder when 6045 is divided by j?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9\/19 + 79\/247. Let z = 986 + -982. What is the biggest value in 2\/65, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(-1*sqrt(270) - sqrt(270)))\/sqrt(9))\/(sqrt(6)*1*5 - (sqrt(6) - (sqrt(150) + (sqrt(150) + (sqrt(150)*-2 - sqrt(150)) - sqrt(150))))))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142*((-18)\/(-4) + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -77*y + 69*y + 61. Which is bigger: 261 or y?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4}. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 + 0.13. Let v = 0.09 - u. Let r = 0.85 - v. What is the second smallest value in -5, r, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3655 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4652413 + -42?\nAnswer: 4652341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79\/2 - 39. What is k in -k - z - 1\/2*k**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -847 - -3695. Suppose -63*a + r = 265. What is the remainder when ((-4)\/5)\/((-4)\/610) is divided by a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -126656\/11? (a) -3 (b) 0 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 9 = k, 10*k - 15*k - 25 = 0. Solve 0 = d*n - 4 - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 10. Let f be a(-8). Calculate the highest common factor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**2 + 288*g + 1. Let d(n) = -41*n - 11. Let y(x) = -52*x - 14. Let c(b) = -14*d(b) + 11*y(b). Give j(c(w)).\nAnswer: -16*w**2 + 576*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(4\/3)*i*i)\/(i\/(i*i**(3\/2))*i))\/(i**(-1)\/i*(i**5\/i*i)\/i)*i*i*i**(-3)*i\/i**1*i**3\/i**2 assuming i is positive.\nAnswer: i**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 30173410?\nAnswer: 2\/15086705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p. Let y be -4 + (4 - -3) + 1. Suppose -5*c + y*a + 39 = 0, -3*a = -2 - 10. Let z = 13 - c. Calculate j(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*a**2 + 0 + 0*a**3 + 0*a + 2\/3*a**4.\nAnswer: 2*a**2*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25 + -23 - (22 + -13 - (-60)\/(-6)). Suppose 0 = -c + 5 - 0. Solve -4*q + d = -c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 9 - 0, 0 = 3*a + 5*p - 15. Factor a*b + 1\/2 - 1\/2*b**2.\nAnswer: -(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 2*v**3\/3 - 6*v**2 - 4*v + 204. Calculate h(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4740, 5, -4 in decreasing order.\nAnswer: 4740, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 62 - 47. Suppose p*t - b + 1140 = 0, -5*t + 456 = -7*t - 5*b. Which is greater: -229 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 2 (c) -0.26 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 7:00 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -112*r + 462. Calculate p(8).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 432 and 72?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**4 - 1166*r**2 + 2039*r - 1?\nAnswer: -24*r**2 - 2332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -31*p + 2. Let s be a(2). Let d = -36 - s. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 242273.1ml?\nAnswer: 242.2731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from zuxx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 7 + -222 + 8. List the prime factors of (1 - -1246) + (-17)\/(m\/48).\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, r: 2, h: 7}. What is prob of sequence rhfr?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-408)\/(-32))\/(6545\/10780)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3621640 is divided by 92?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102626 - 66276. Is a a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + 5. Suppose -33*w + 438 = -1443. Let f = g + w. What are the prime factors of f?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 40. Suppose -c*m = -2*m - 28. What is the remainder when -1*10*(-2)\/4 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*q**2*u**2 + 2*q**2*u + 15*q**2 + 2*u**2 - 47 wrt u.\nAnswer: 14*q**2*u + 2*q**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*p - 365*p - 15125 = 0 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3064 + 16?\nAnswer: -3046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*a = -65*a + 318240. What is a rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*p = -45*p + 220 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5605 by 5.\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2498 - 2*r**6 - 3*r**4 - 3980 - 660*r**3 - r**2 - 117*r**3 + 1234 + 320*r**3 wrt r?\nAnswer: -240*r**3 - 72*r - 2742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4499330 to the nearest integer?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - -15) + -24 + (1 - -9).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3235971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -0*o + 20. Let d(v) = -7*v - 6. Calculate the remainder when 56 is divided by d(o).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9a - 6?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - -24 - -1)*-2. Let q = 115\/3 + m. Suppose q + 1\/6*w**2 + 1\/2*w = 0. Calculate w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**2 - 126*l + 697. Calculate n(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 460 + -456. Let d(v) be the first derivative of 4\/5*v**5 + 2 - 5\/2*v**2 + 0*v + 0*v**z + 0*v**3. Find the second derivative of d(n) wrt n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3 + 0 + 7 - 1 + a. Let k be w(-4). Solve k*g + 4 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**2\/2 + a + 3. Let b be r(-1). Suppose -2\/5 - 18\/5*h**b + 12\/5*h = 0. Calculate h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3211617429 to the nearest integer?\nAnswer: 56671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 292767448 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 45 = -w - 25, -2*w - 5*d + 67 = 0. Solve 3*x + w = 11, -5*l - 4*x - 20 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2211 is divided by 219.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -10*v**2 + 9*v + 2. Let z be q(4). Let t = z - -147. What is the remainder when 247 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a*a**(-6)\/a))\/a*a*a**(3\/23))\/(a**(-2\/13))**(-4) assuming a is positive.\nAnswer: a**(2247\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*z = 128 + 42, -5*z + 220 = 5*q. What is the greatest common factor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.284 - 7.041. Let u = -86.747 - k. Let h = u + 81. What is h rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = -2*r - 5, -3*v - 5*r - 20 = 0. Suppose -d - 3*d - 3*z + 35 = 0, 4*z = -4*d + 36. Suppose -5*n - d = 2. Sort -3, v, n, 2 in decreasing order.\nAnswer: 2, v, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351148*d**3 + 166613*d**3 + 184532*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.98 - 0.02. Let p = i + 4.5. Let w be (-2*(-36)\/16)\/(-6). Which is the third biggest value? (a) p (b) -0.05 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-26 - (11 - 24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - u)*((-3 + 3 + 1)*(-3 + 2 - 1) + 2 - 4 + 4 - 2 + 1 - 1)*(0*u - 5*u + 3*u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/((6 + 7)\/(-13)). What is the second biggest value in y, 4, 30, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 13*p + 312. Let n(b) = -3*b + 4*b + 4*b + b**2 + 6. Let z be n(6). Calculate the highest common factor of z and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -140, -543, -1214, -2153, -3360, -4835?\n\"Answer: -134*s**2 - s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200014314 - 10?\nAnswer: 200014304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208173 and 3310482?\nAnswer: 1426817742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*k - 4*z, 95*k - 3*z - 26 = 91*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125*d**4 + 37*d**3 + 6083*d?\nAnswer: -1500*d**2 + 222*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 = -3*j, 4*h + j - 5*j - 108 = 0. Let s(a) = -17 + 33 - h - a. Let g be -6 + 0 - 4\/2. Give s(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 14. Let s be ((-16)\/l)\/((-18)\/(-27)). Factor -4*q**2 + 4*q**4 + 2*q**5 - 2*q**3 + 3*q**3 + s*q**3 - 7*q**3.\nAnswer: 2*q**2*(q - 1)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w**3\/2 + 1353*w**2\/2 + 5892*w - 4230 = 0. What is w?\nAnswer: -141, -10, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2973834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21730.2 and 0.4.\nAnswer: 8692.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 575043272 to the power of 1\/2, to the nearest integer?\nAnswer: 23980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 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: Let l(a) = a**3 - 28*a**2 + 50*a - 64. Let g be l(26). Let s = g - -136. What is the remainder when 35 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 21*o - 77. Let z be y(17). Let g(f) = f**3 + 10*f**2 + 7*f - 9. Calculate g(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*n**2 - 39*n**2 + 6*n**3 - 4*n + 3*n + 0*n as o*n**2 + p*n + c + z*n**3 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*p + p - 17 = 0, 4*w - 3*p = 17. Suppose 1 = k - 5. Let o = k + -4. Solve 0 = -o*u - w*u + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scss when four letters picked without replacement from {c: 1, s: 3, k: 12}.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 376164516, 376164523, 376164530?\n\"Answer: 7*i + 376164509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c = w + 20, 4*c - 4*w = -40. Let r be 80\/48*6\/c*-2. Solve -5*j - 3*n - 20 = -2*n, -j = r*n + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/294 and 47\/2793?\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-2)*1 - (-3 + -2). Let k = 17 + -10. Let f = 11 - k. Solve -4*u = f, q*t + 2*t = -4*u - 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 572?\nAnswer: -1\/572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -225 - 15. Let x = s + 236. What is the closest to -5 in 5, 2, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15169248.\nAnswer: 2, 3, 97, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -8)\/(-25) - (-18)\/10. Suppose -4*u - 5*c + 64 = 0, -c = 5*u - o*c - 80. Calculate the highest common factor of 176 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 10:57 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 3455?\nAnswer: 9\/3455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0232 and 0.37?\nAnswer: -0.008584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 + 27*y. Let v be t(-9). Let g(z) be the third derivative of -1\/150*z**5 + 1\/300*z**6 + 5*z**2 + 0 + v*z**3 + 0*z**4 + 0*z. Factor g(m).\nAnswer: 2*m**2*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 42, -2, 2.3, 11\/17, -1 in decreasing order.\nAnswer: 42, 2.3, 11\/17, 1\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -808*p**3\/3 + p**2\/2 - 496*p - 980. Find the second derivative of h(j) wrt j.\nAnswer: -1616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(84)*-3*-3)\/((sqrt(108) + -3*sqrt(108))*4).\nAnswer: -3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 3:23 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 + 146368*n**2 + 16072815223*n + 3373139930230\/3.\nAnswer: (n + 70)*(n + 219517)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/36, -0.1, 3, 5, -0.04 in ascending order.\nAnswer: -0.1, -0.04, 5\/36, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 10:06 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -5*f**4\/12 - 2*f. Let s(o) be the third derivative of -1\/12*o**4 - 4*o**2 + 0*o + 0*o**3 + 0. What is l(s(u))?\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s**(-4\/7)\/s*s*s**(-23))\/(s**(6\/5)\/(s*s**(-3\/4)\/s)) assuming s is positive.\nAnswer: s**(-3153\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffqo when four letters picked without replacement from {q: 6, f: 3, w: 1, k: 2, o: 4}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374502?\nAnswer: 2, 3, 62417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 50 = o. Let y be ((-10)\/o)\/((-16)\/5). Let w = -1.1 + 0.1. Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z + 9. Let q(p) = -p - 1. Let n(v) = -2*g(v) - 18*q(v). Let r be n(2). Find the first derivative of 3 + 2 + 2*x**2 - r wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5092039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 234291, 234275, 234245, 234195, 234119, 234011, 233865, 233675?\n\"Answer: -q**3 - q**2 - 6*q + 234299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/102)\/((2*-1)\/(-4))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v - 173. Give c(-15).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 3d140?\nAnswer: 3d142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1688*i**5\/13 + 118150*i**4\/13 - 700*i**3\/13 = 0. Calculate i.\nAnswer: -70, 0, 5\/844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 7. Let b be g(7). Suppose b = -4*z + 6*z + 4*t - 14, t + 1 = z. Let i(o) = -37*o + 151. Let m be i(4). Solve -m*f = 9 - z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 20*k + 4*a = 8, -4*k = -a - 11. Suppose 0 = o + 4*r - 49 - 22, -r = -k*o + 199. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811901?\nAnswer: 149, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 325842951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -950*h**3 + 36730*h**2 + 236608*h\/19 + 19968\/19 = 0.\nAnswer: -16\/95, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 0*x - 2*x)*(-4*x + 2*x + 3*x) - 213*x**2 + 611*x**2 - 250*x**2 to q + w*x**2 + y*x and give w.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + f + 151, 3*f = 2*t - 5*t - 93. Let w(q) = -q**3 - 29*q**2 + 31*q - 10. Let o be w(t). Is 15\/3*-1 - o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28533843 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 776 and 27451?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 242*i**3 - 112*i**2 + 4*i - 4. Let p(c) = 243*c**3 - 112*c**2 + 3*c - 3. Let f(z) = 3*l(z) - 4*p(z). Find the third derivative of f(x) wrt x.\nAnswer: -1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1180*c**3 - 465*c**3 - 70*c**3 + 373*c**3.\nAnswer: 1018*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*(9\/(-30))\/(-1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19688, 19694, 19700, 19706?\n\"Answer: 6*d + 19682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 183 + (-5 + 3 - -5). Let x = -151 + g. Calculate the highest common divisor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - c + 8. Let u be p(0). Suppose 0 = -i, -3*s + 2*i - u = -s. Let d(w) = w - 2. What is d(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.23 - 0.23. Let t = -113.967 + 114. Let a = 2.033 - t. What is the nearest to 0 in -1, a, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(833) + 1)**2 + 0 + -2*sqrt(833))*2*1*2.\nAnswer: -224*sqrt(17) + 3368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 2*p + 10. Let h be z(-8). Let w = -85 + h. Solve 2*j + w = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 172, 363, 554, 745, 936, 1127?\n\"Answer: 191*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7737.693 months?\nAnswer: 6.4480775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 10 = -7*q. Solve q*l + 20 = 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26461 + -7409093\/280. What is the common denominator of l and 41\/50?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 57.4 (b) -6\/187 (c) -429\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -299\/170?\nAnswer: -299\/170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:20 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 482, 725, 952, 1157, 1334, 1477, 1580?\nAnswer: 1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-318)\/(-212))\/((-55)\/8))\/(12\/(-20))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 7*a = 2*a + 20, -5*h = 2*a + 6. Let k be (20\/(-25))\/(h\/5). Is 11 a factor of (-58)\/(-4)*4\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0276 + 0.0444. Round h to three dps.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - -1.4. What is the second biggest value in -1\/5, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+165.63\nAnswer: 165.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4\/9)*m)\/(m**(-9)*m) assuming m is positive.\nAnswer: m**(86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 + 295*v - 3366 = 0. What is v?\nAnswer: -306, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*l - 31 = 0, -l + 8 + 39 - 7 = -16*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 16*r + 18*r + 509*r**2 - 116*r**2.\nAnswer: 393*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 341673, 683360, 1025049, 1366740, 1708433, 2050128, 2391825?\n\"Answer: f**2 + 341684*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -77*v + 86*v. Factor -v + 10*g - 2 - 6*g + g**2 - 2.\nAnswer: (g - 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (51 - 0 - (-78 - (-48 - 13))).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2\/8 + 2283*x\/2 + 221229\/2 = 0. What is x?\nAnswer: -94, 3138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 667*p - 33494 = -9482. Let z be (3 - 4) + (1 - -1). Solve -5*i + 3*w = -7 + p, z = -i - w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*4*sqrt(176) - (sqrt(176)*-1 + sqrt(176) + 3)))**2.\nAnswer: 3456*sqrt(11) + 405585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*u, 0*c = 3*u + 4*c. Let m(n) = u - n**2 - 2 + 24*n - 9*n - 19*n. Give m(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3260477 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 724920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13497236.\nAnswer: 2, 101, 33409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2. Let u(q) = -23*q**2 - 3*q + 3. Let b(l) = 418*l**2 + 55*l - 55. Let d(c) = 6*b(c) + 110*u(c). What is d(p(o))?\nAnswer: -352*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 186243487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1619*-2*-1)\/((-10)\/(-5)). Let i = l + -768. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-595)\/(-49))\/5 + 3*-1. What is the second biggest value in h, 2\/7, -0.4, -1.9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 12*r - 21 + 4*r + 0 - 14*r in the form l + x*r**2 + t*r and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - 5*x + 3*x - x - 2 + 2 + (-5 - 2 + 6)*(-2*x + 5*x + 0*x) - 2 - x + 2 + 5*x - 2*x - 2*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*k**2 + k**4 + 4*k**3 + 80*k**2 - 3*k - 2 + 2 as i*k**3 + u*k**4 + s*k**2 + m*k + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 + 2742*v - 45746. What is h(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 0.5444\nAnswer: 8.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -20*b**6 - 259*b**3\/3 - 50. Find the third derivative of n(j) wrt j.\nAnswer: -7200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068 is divided by 1018.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5050 - -5396. Calculate the remainder when v is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f + 15. Suppose 9*j**2 - 6*j**4 - 9*j**4 + 6*j**f + 12*j**4 = 0. Calculate j.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209 and 1273?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 23727 * 2385\nAnswer: 56588895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1433276, 2866581, 4299898, 5733233, 7166592, 8599981, 10033406?\n\"Answer: m**3 + 1433298*m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -911, -1992, -3071, -4148, -5223, -6296?\nAnswer: -7367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.20528879 to 4 dps.\nAnswer: -1.2053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20815 + 12743 = -658*v for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -340527*a**4*i**3 - 2*a**4*i - 441569*a**2*i**3 wrt a?\nAnswer: -8172648*a*i**3 - 48*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 7*w**2 + 2*w + 4. Let a be c(-7). Let j be a\/4*(-54)\/(-81). What is the third smallest value in -0.2, -7\/11, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 - 2*x**2 - 4*x - 4. Suppose -3*o - 2*m + 4 = 0, -6*o - 4*m + 10 = -o. Let k(z) = 9*z**3 - 7*z**2 - 13*z - 13. Give o*k(u) + 7*d(u).\nAnswer: 3*u**3 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 8)*(-2*b**2 + 2*b**2 - 2*b**2).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1923?\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91*j**3 - 5592*j*y**2 - y**2 + 2*y - 139747 wrt j.\nAnswer: 273*j**2 - 5592*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16249088, -16249090, -16249094, -16249100, -16249108, -16249118?\nAnswer: -16249130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*o + 22, -14*s - 2*o = -9*s - 2. What is the second derivative of 64*x**2 - 11*x - 46*x**2 + 67*x**s wrt x?\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**6\/40 - d**5\/20 - 2*d**2 + d. Let q(o) be the first derivative of c(o). Factor q(k).\nAnswer: -3*k**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 950.3834*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 23.8. Let a = 9 + p. Round a to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1033702 and 0.2.\nAnswer: 0.3033702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y + 105. Let o be 11\/(-1)*(-2 - 0) + 3. Let q be f(o). What is the closest to -1 in -1\/5, -5, q?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 308, 2065, 6846, 16163, 31528, 54453, 86450?\n\"Answer: 252*c**3 - 7*c + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -257*g. Let i(l) = -5*l. Calculate i(b(u)).\nAnswer: 1285*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**3 - 2*l**2*v**3 - 987*l**2*v - 40*v**3 - 3*v**2 - 6*v wrt l?\nAnswer: -3*l**2 - 4*l*v**3 - 1974*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -76\/316465 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 100478201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 48.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.59 times 370.6?\nAnswer: 40243.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c = 88. Let j be c\/(-2) - (-4 + 4). Let s be (-1 - (-24)\/(-8)) + 59. What is the highest common divisor of j and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -0.28 (b) 0.1 (c) 2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnavvnhavh. Give prob of picking 1 a, 1 n, and 2 v.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13665241.\nAnswer: 277, 49333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50150?\nAnswer: 2, 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 - 2*k + 2. Let w(o) = -5*o**2 - 3*o + 3. Let s(u) = 3*m(u) - 2*w(u). Let j(v) = -6*v. Determine j(s(i)).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 1:06 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24654 + -24471.77. Let n = o - 181. Round n to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - p + 1. Let y(r) be the second derivative of 11*r**4\/6 + r**3\/3 - 2*r**2 + 889*r - 2. Determine -4*s(l) - y(l).\nAnswer: -18*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -33. Let i = 47.8 - 48. What is the third biggest value in z, -1, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 934927 to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1\/2, 2\/5, 2.3, 3\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (3 + -12 + 14 - 22)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74565*w**3 - 112781*w**3 + 38218*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*u - 20, 20 = -2*y - 0*u - 4*u. Let s = 162 + 492. Let i = -652 + s. Solve 0 = 5*j - j + 2*n - i, y = 4*j + n - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*h + 159, -244*h + 48 = -z - 240*h. What is the nearest to -6\/19 in -2, z, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21, -45, -71, -87, -81, -41, 45?\n\"Answer: 2*v**3 - 13*v**2 + v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 divided by 10?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 144*a - 3. Let j(k) = 141*k - 2. Give -5*j(d) + 6*t(d).\nAnswer: 159*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6 - p + 3*p + 14.\nAnswer: 2*p + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3325768175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 7*b - 6. Suppose -4 = 3*q - 4*q. Let m be q\/6 + (-70)\/15. Give n(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/120 + 14\/15)*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6 + -3.9. Let n = 47 - 35. Let j = n + -14. Which is the biggest value? (a) z (b) -4\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -19*o + 868. Let j = o - 46. Solve -2*z + 3*d - j = 0, z + 6 = 2*d - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1479 divided by 314?\nAnswer: -1479\/314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/9 - 86*u**2\/9 - 12568*u\/9 - 4160\/3 = 0. Calculate u.\nAnswer: -60, -1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/26))**27\/(q**(-1\/16))**(1\/4) assuming q is positive.\nAnswer: q**(-851\/832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n + 16. Suppose -4*b + 7*b = -w - 7, 11 = n*w - b. Is 2 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 228768*z + 170291?\nAnswer: 228768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/(-16))\/(6\/68) and -93\/34.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by (8\/9 - 1) + (-4866)\/(-54).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -2*n + 12, 35*b - 37*b + 4*n = 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96636734 or 193273465\/2?\nAnswer: 193273465\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20112847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6301209359 to the power of 1\/3, to the nearest integer?\nAnswer: 1847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 4:35 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 12 = -2*h, -3*h = 5*c - 11 - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 19*j**2 + 14*j**2 - 8*j**2 + 12*j**2 - 890*j - 40*j**2.\nAnswer: -3*j**2 - 890*j + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*n - 43339 = 577*n + 8825 for n.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(2 + -2 + -1). Suppose q = -2*t - 2*t + 508. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101.953 - -0.453. Let i = u + 102. Let x = 0.04 - -0.56. What is the third smallest value in -2\/3, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 16 = b, 3*x - 325 = -2*b. Suppose -3*r + j + 47 = -20, -47 = -2*r + 3*j. What is the remainder when x is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 424401, 848741, 1273081, 1697421?\n\"Answer: 424340*y + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 4. Calculate the remainder when 64 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2024324 (base 5) to base 3\nAnswer: 1200101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -2*a, -9*a - 9982*b + 9981*b = 94 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.07 and -24087030782.\nAnswer: -24087030781.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 4*u - 324405667*u**2 + 324405242*u**2.\nAnswer: -425*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g = -4349 + 4409 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -5*b + f + 23, -5 = b + 2*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 15*v - 8. Let z be (45\/4)\/(24\/(-16))*-2. Calculate s(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/390*(-96)\/(-640))\/(80\/128)?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -847 = -n - 3*d, d + 11 = 18. Calculate the lowest common multiple of n and 708.\nAnswer: 4956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1240839, 2481679, 3722519, 4963359, 6204199, 7445039?\n\"Answer: 1240840*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2346489794 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*b - 43*b + 1547 + 891 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 5) to base 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**2 - y**2 - 5*y**2 + (2*y**2 - 3*y**2 - y**2)*(3 - 7 + 2) + (y - 3*y + 0*y)*(-29 - 23*y + 29) + 88 - 168 - y**2 + 81.\nAnswer: 48*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72297.4 and -0.3.\nAnswer: 21689.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6088749?\nAnswer: 3, 131, 15493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181 + 340. Suppose -168 = -n*i + 157*i. Calculate the greatest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + -102. Let d = 227 + v. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017716 to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - 11) + 32\/5. Let b = s - 4. Let d be (-2)\/6*(4 - 2). What is the closest to 2 in b, -1\/5, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {p: 7, h: 1, b: 2, r: 6, s: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k = -4*j - 29*k + 838, -5*j + 3*k + 1067 = 0. Calculate the remainder when j is divided by 87.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6312 divided by 200.\nAnswer: 789\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 1 + 2 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 - 2165 = -28*o. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -7, -45, -109, -205?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 17 = 2*l, 28346*l - 28355*l - 11 = -4*k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 m when three letters picked without replacement from immmimimmiimmm.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -48\/35, -2.22, -39?\nAnswer: -2.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Find the first derivative of -10*m**2 + 24 + 6*m**2 + 8*m**r wrt m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -23*j + 10. Let c(b) = -b. Determine q(c(s)).\nAnswer: 23*s + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-3 - (-9)\/3). Let y be (-96)\/(-36) - (-1)\/3. Suppose 4*h + 5*b - 155 = q, -2*h + 4*b + y + 55 = 0. What is the remainder when h is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4725 less than -3?\nAnswer: 4722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 2:40 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**5\/20 - y**2\/2 + 986*y. Let z(x) = -x**2 - 7*x + 1. Let h be z(-7). What is b(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 7*h = -3*h + 18, 6 = -4*n + h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2.06 (b) 0.5 (c) -2\/3 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8959\/5 + -1784. Let b = -317\/42 - -47\/7. What is the common denominator of z and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0*g - 4*g)*(-2 + g**2 + 2)*(13*g + 2*g - 19*g - 15)*(-5 + 6 - 19).\nAnswer: -144*g**4 - 540*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2478 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/8 of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1117, -4302, -9611, -17044?\nAnswer: -26601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxf when three letters picked without replacement from {q: 8, x: 4, f: 5}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23557364*h**2*u**5 - 3807*h**2*u - 86*h**2 + 3*h*u + 2*h - 3*u**5 + 10 wrt u.\nAnswer: -471147280*h**2*u**3 - 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1290124*w - 1290124*w - 12*w**3 + 76.\nAnswer: -12*w**3 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17253 times 33?\nAnswer: -569349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 2*d**2 + 20 - 4*d**2 - 3 + 8 to b*d + m + c*d**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkh when three letters picked without replacement from wwwwkhkhwwa.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-515.\nAnswer: 51.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 737713, 1475028, 2212353, 2949694, 3687057, 4424448, 5161873, 5899338?\nAnswer: 6636849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0275 - -3.0275. What is the nearest to -3 in -4, 0.35, -5, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u + 5*k + 26 = 0, u + 19 = -k. Let o = -19 - u. Suppose 3*z - o*y - 24 = 0, 3*z + y + 6 = 15. Solve -2*f + 2*i = -4, z = 2*f - 6*f + i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3022*n + 2953*n - 5844*n.\nAnswer: 131*n","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -355*x - 1830*x - 1384*x = 693*x - 127860 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1876495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjnnnjnnnnjnjnnnnj. What is prob of sequence jnnj?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 22*d - 30. Let i be h(-23). Suppose -7*b + 2*b = -70. Let f be 1\/((b\/(-8))\/i). Calculate the greatest common factor of f and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2071 divided by -1.\nAnswer: -2071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 118*k**2 + 831*k + 123. Give c(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4066 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/10 - 24\/(-40). Suppose 7*v - 6*v = d. Solve v*z + 5 = -2*b + z, 4*b + 5*z = 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 4, 2*c - 7 + 11 = -4*i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 + 1?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402.9574 millimeters to kilometers.\nAnswer: 0.0004029574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 33*j**2 + j - 3. Is x(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from nnjnzmm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -13*n - 3. Let u(f) = -27*f - 7. Let l be -1*(7 + -9 - 0). Determine l*u(v) - 5*c(v).\nAnswer: 11*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -u + 1, -2*f - 2*f + 4 = 4*u. Let k = 0.69 - 0.6. Let j = -2.09 + k. Sort j, 4, u in ascending order.\nAnswer: j, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 894.6117l?\nAnswer: 894611.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-26691\nAnswer: -26691.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -1620*a**2 + 36*a - 1. Let k(f) = 3241*f**2 - 60*f + 2. Give 5*i(r) + 3*k(r).\nAnswer: 1623*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*o = -328*o + 502*o - 1342 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 30442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w + 28. Let k be s(9). Let n be 1\/(9\/8 - k). Let d = 12 - n. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + x + 2*x + (x - x + 3*x)*(1 + 0 - 2))*(2*x**3 - 2*x**3 - x**3) to the form d*x**3 + n*x**2 + a*x**4 + g + k*x and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-220)\/(-66)) + 33\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46.20272258 - 46.202. What is b rounded to six dps?\nAnswer: 0.000723","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:08 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b - 3*b + 4*b)*(56 + 2 + 0)*(0 - 2 - 6) to the form s*b + m and give s.\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 4*i + 53. Let h be z(-9). Let j be ((-20)\/11)\/(-2) - h. Are 1\/4 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370020403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1062*z**3 - 5*z**2 - 10*z - 3254. Let m(r) = 1064*r**3 - 6*r**2 - 12*r - 3247. Let w(i) = -5*m(i) + 6*u(i). Differentiate w(d) with respect to d.\nAnswer: 3156*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.543445 to one decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -476 + 485. Suppose -w*v + 201 = a - 10*v, 3*v = -15. Calculate the greatest common factor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/22)\/(1\/((-4)\/6))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -26\/176065 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*d = 107, 6*f = f + 5*d + 110. Let j be (-129)\/9 + (-14)\/f. Let p be (15\/9)\/(j\/(-18)). Which is the second biggest value? (a) p (b) 1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 5*y - 1. Let s be i(4). Suppose s*w = -w + 8. Suppose 2*t = 4*b - 32, w*t + 34 = -0*t + 5*b. Which is greater: -14 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101021201 (base 3) in base 14?\nAnswer: 4b40d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2249.2? (a) -2917 (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266490 and 31185.\nAnswer: 2931390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.044 (b) -5.9 (c) 3\/5 (d) -1\/4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 6. Suppose 4*m = m + 2*h, y*h = -3*m. Suppose -2*l - 2*l + 40 = m. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x. Let s(c) = -18*c + 228 - 228 - 12*c. Let p(i) = -3*s(i) + 16*z(i). Let h(j) be the second derivative of -j**3\/3 + 8*j. What is h(p(o))?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:30 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrriiifrfrfri?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1384 or 3866?\nAnswer: 3866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2352 + 10985. List the prime factors of x.\nAnswer: 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(24\/120)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + (-3)\/(-1))*-1. Calculate the common denominator of 99\/14 and (j - (-134)\/40)*2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 8*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 49. Let o = -289 - -290. Sort -4, t, o, -8.\nAnswer: -8, -4, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*h**3 - 87*h**3 + 50*h + 51*h + (h - h - h**2)*(2*h + 0 + 0) in the form m*h + y*h**2 + r*h**3 + u and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 286 + -286. Solve z = -3*r + 5*l + 6, -2*r = 3*r + 2*l + 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1303 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kakq when four letters picked without replacement from qckickfaf.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**3 + 38. Let a be y(0). Suppose 0 = k + 4*p, k + p = -4*k - a. Let x(f) = -86*f - 21. Is x(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5154)\/(-684) - 68886\/9612\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*u - 8*u = 2, -4*h + 19 = -5*u. Calculate the lowest common multiple of h and 35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 15\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-8)\/30 - (-56)\/42. Which is the nearest to v? (a) -4\/7 (b) 2\/11 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1849, -3722, -5611, -7522, -9461, -11434?\n\"Answer: -b**3 - 2*b**2 - 1860*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 733536091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 69?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 9*h + 7. Suppose -2*m + 0*m = -20. Let u be m\/(-5) + (-18)\/2. Does 11 divide j(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1443*i**2 + 105732*i - 686340.\nAnswer: 3*(i - 6)*(481*i + 38130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * 83972\nAnswer: -10076.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (544\/128)\/((-218)\/416 + 1734\/3757)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**2\/2 + 10228*u. Let a(g) = -g - 37. Give a(k) - 6*x(k).\nAnswer: -k - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2775, 11139, 25079, 44595, 69687, 100355, 136599?\n\"Answer: 2788*g**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**4\/24 - 119*u**2\/2 + 80*u. Let z(y) be the first derivative of m(y). Let d(j) = -264*j. Give z(d(l)).\nAnswer: -264*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 2, u: 1, a: 2, g: 2}. What is prob of sequence pd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*(-1 + 6*l + 0 + 2).\nAnswer: 24*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpvccsm. Give prob of picking 1 s and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + 15*d + 3*d**2 + 241*d + 8*d**2 to k + x*d**2 + g*d and give g.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 32543.\nAnswer: 227801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 330152 + -22333?\nAnswer: 303415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 2:02 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 50?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 11 = -h, 0 = 12*h - 7*h - 5*s - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 1197.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43515 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: Three letters picked without replacement from ppppppppppnppppppp. Give prob of sequence ppn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6649*o**2*p**3 + 11*o**2 + o*p**3 + 3*o*p + 3*p wrt p?\nAnswer: 39894*o**2*p + 6*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-2) + 213\/84. Let d = y - -3\/14. Let f(c) = 3*c**2 + c. Let l be f(0). Which is smaller: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7659, 29362, 65529, 116160, 181255, 260814, 354837?\n\"Answer: 7232*s**2 + 7*s + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 3*k = f - 3, 4*k = -12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3 + 0*x - 6*x + 3*x - 4*x. What is the units digit of a(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 9 + 2 = -3*x, 2*w - 4*x = -18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28.1 - -27.8. Let f = 124 - 120. Sort 2, m, f in descending order.\nAnswer: f, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*m - 1. Let q be m\/1*(-11 - -12). Let p(c) = 2*c - 2. Let s be p(q). Which is smaller: s or 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/8)\/o)\/o*o*o)\/(o**(-18)\/o) assuming o is positive.\nAnswer: o**(155\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7346276 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 573 = 55*w - 1483. Is w at most as big as 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*p - 14 = -41*p. Which is the second smallest value? (a) 6 (b) p (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23972 divided by -24?\nAnswer: -5993\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25145\/12 + -2093. Let u = 38\/400599747 + 551063808061919\/22265333938260. Let g = 2\/13895 + u. Calculate the common denominator of g and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 18*m = 2*v + 134882, v + 101166 = 3*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 17*j**2 + 20*j - 30. Let q be r(18). Let m be (-1 - -1)*(0 + -3)\/q. Solve -k + 8 = -0*k - 3*v, m = v + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.272 and 0.1.\nAnswer: -0.0272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 151360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 316 and 6721192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*z - 2*i, 5*i = -4*z + 11 - 0. Let g be (6\/24 + 1)*z. Solve 3*k = g*y - 3*y + 18, 3 = -y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-26) + ((-3)\/(-130))\/((-180)\/(-2550))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156 - -154. Suppose -2*g + 17 = 3*w, -5*g = -w + 6*w - 30. What is the biggest value in 5\/7, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3827678*a**5 - 101637*a + 4.\nAnswer: -76553560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2717825214.\nAnswer: 2, 3, 13, 206177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.79 - 2. Let c = f - -7.21. Let p = c + -5.6. What is p rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6014683455.99999917 + 6014683414. Let w = o - -42. Round w to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001497562 to six decimal places.\nAnswer: -0.001498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4. Suppose 3*m + 2*p - 45 = 0, u = p + 4*p - 15. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 + -154. Let a = -23 - t. Let q be a\/6 + 3\/(-9). Solve z = -0*z + 5*o - 18, -q*z = -4*o + 27 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 337821, 0, -711 in ascending order.\nAnswer: -711, 0, 337821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.9275 to 1 dp.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -1\/13 (c) -399\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l - 24. Let v(k) = -3*k + 48. Let a(o) = -5*s(o) - 2*v(o). Let c be a(6). Solve 4*m + 28 - 8 = c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1133, 5315, 16819, 39359, 76649, 132403?\n\"Answer: 619*v**3 - 53*v**2 + 8*v + 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*j + 950 = 2570 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 93. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1508583 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4099, 4098, 4097, 4096, 4095, 4094?\n\"Answer: -s + 4100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -60541, 1, 5, 2 in descending order.\nAnswer: 5, 2, 1, -60541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/126 and -61\/6010122.\nAnswer: 126212562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97 + 97 - 15*s**2 + 6*s**6 wrt s?\nAnswer: 720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/243 and -37\/126.\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 3*q**2 + 12*q + 22. Give h(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)\/n*n*(n\/(n*(n*n*((n\/n**0)\/n)\/n)\/n*n))\/n*(n**(-1\/8))**(11\/4) assuming n is positive.\nAnswer: n**(-235\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 3:11 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905390446.\nAnswer: 2, 23, 1277, 15413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3629793?\nAnswer: 3, 1209931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 180*o**2 + 250*o + 3. Does 20 divide k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460136.\nAnswer: 2, 113, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3)*(2*k - 3*k + 0*k) + 5*k - 4*k - 3*k - 82*k + 42*k - 9 + 36*k to a*k + j and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(48\/(-27)))\/(-1 - (-2440)\/2444). What is the greatest common factor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 11*h**2 - 10. Let l be p(-11). Let i be (3 + l - -2) + 1. What is the lowest common multiple of 11 and (-1)\/i - 3\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (1 - -4 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**3 - 2*y. Suppose 3*o - 5 = 1. Does 20 divide q(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.7 + 44.5. Let o be -2 + (-27)\/(-5) + (-12)\/(-20). What is the third biggest value in -0.1, n, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -107 + -4?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2287 + -20.\nAnswer: -2307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*r**2 - 2*r**2 + 8*r**2 + (0*r - 2*r + r)*(2*r + 0*r + 0*r).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1308*q**2 + 15*q**3 + 14*q + 1307*q**2 + 12*q.\nAnswer: 15*q**3 - q**2 + 26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 f, 1 i, and 1 q when four letters picked without replacement from {q: 2, i: 1, f: 2, n: 2, h: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(1 + 3\/(-12)). Let v = w + 3. Is 3\/((-3)\/(-8 + v)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in -0.4, -486, 1\/50?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((-80)\/(-4))*-8. Suppose -1186 - 334 = -f*h. Suppose -h = -m - 7*m. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96.000075 + 96. What is a rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1941 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 3. Suppose 3*b + 4*n = 175 - 37, -259 = -5*b + 3*n. Let m = b - 45. Calculate the remainder when i is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -13. Let b = u - 6. Which is bigger: -4\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**7\/8820 - q**5\/420 - q**4\/8 + q**2. Let k(o) be the second derivative of w(o). Find y, given that k(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 2)*(1 - -8). Let a(x) = -x. Let o be a(t). Suppose 0*y - 5*c = 4*y + 9, -4*c = 20. Solve y*r = o + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 7*u - 3*u - 10 = 0, u = -2*d. Suppose -46 = 10*i - 36. Put d, i, 2 in decreasing order.\nAnswer: 2, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 200\/(-27 - -52) - (-7 + 2)*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -o + 4*o - 2*t, -5*o + 21 = -4*t. Solve -7 = -4*x + o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/14)\/(-3*((-2108)\/1428)\/31).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/8)\/(b**(2\/9)\/b)*(b**(2\/5)*b*b)**(-18\/5))\/(b**(1\/2)\/(b\/(b\/(b**(-12)*b))))**38 assuming b is positive.\nAnswer: b**(-800527\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 + x - 2. Let z(q) = 2*q**2 - q + 2. Let h(c) = -4*v(c) - 3*z(c). Is h(1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 d, and 1 c when four letters picked without replacement from {d: 3, p: 1, g: 3, c: 2, j: 4, m: 3}.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -29, 2, -2285, -3, 3 in ascending order.\nAnswer: -2285, -29, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**4\/12 - u**3\/2 - 3*u**2. Let b be -3*(1 + 14\/(-6)). Suppose -2*z + b*z - 8 = 0. Calculate m(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**1*w**(1\/4)*w)**(-1\/8))**29)**(-43) assuming w is positive.\nAnswer: w**(11223\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -12901 = -12901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.36 + 21.5. Round i to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -1 - (-41 + 3 + 13 + 32).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + y + 1. Let w(v) = 7*v**2 - 9*v. Let f(k) = -2*u(k) + w(k). Give f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 600 = -2*d. Let k be (-35)\/(-20)*(d\/(-28) - -4). Which is the second biggest value? (a) k (b) 1\/6 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1002 + 1007. Let f(t) = t**2 + 5*t - 1. Let v be f(-4). Put v, 17, i in increasing order.\nAnswer: v, i, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-26 - -44) - 10 - (-1 - -12)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 16) to base 9\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*w**6 - w**5 + 137*w**3 - 218991*w**2 + 2*w wrt w?\nAnswer: -3360*w**3 - 60*w**2 + 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5618832 - 0?\nAnswer: 5618832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - (-2*sqrt(12) + sqrt(12)))\/sqrt(4))**2 + -5 + -2*sqrt(3).\nAnswer: -2*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 2, y: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a second in milliseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -537, -1503 in decreasing order.\nAnswer: -4, -537, -1503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2174260 divided by -4.\nAnswer: -543565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 73 = 81. Which is the closest to 207? (a) 2 (b) -2\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 376 and 22748?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 5*r + 4. Let z be g(-5). Suppose -z = 2*q - 3*q. Is (-440)\/(-11)*q\/10 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-4)*w))\/w*w*w**(-2\/7))\/(w*(w\/(w*w**(2\/21)*w))\/w)**(-14) assuming w is positive.\nAnswer: w**(-265\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1413*w**4 + w**2 + 364?\nAnswer: -33912*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9761 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -66, -56, -38, -12, 22?\n\"Answer: 4*s**2 - 2*s - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*w = -97*w + 5474. Suppose -2*d - d = -2*n + 3, -9 = 2*n + d. Let j(u) = -u - 2. Let h be j(n). What is the closest to -2\/3 in h, 1\/2, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170729 is divided by 4054?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(637) - (sqrt(637) - (sqrt(637) + -1 - sqrt(637))))*-1 - (-2 + 2*(0 + sqrt(637)))) + 5)**2.\nAnswer: -280*sqrt(13) + 2648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 520069836 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.7576 to one decimal place.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-520)\/(-15)*(-18)\/8. List the prime factors of 6\/39 - 19956\/f - -1.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/8 + 7\/(-28). Solve -5*r = 2*w, 0 = 2*r - z*w - 6 - 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngkx when four letters picked without replacement from gnpgeknx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) 0 (c) -10\/7 (d) 0.233 (e) 4\/5 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 12*o - 5. Let z be g(4). Suppose -3838*u = -3917*u + 3397. What is the greatest common divisor of u and z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 6\/11 (b) -3\/8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1296 divide 12639888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + (3 - 11) - -10) + (2 - 30).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -7. Find the common denominator of (267\/2 - 0)\/3 and h*((-10)\/44 - 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22368, -44778, -67188, -89598, -112008?\nAnswer: -134418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 679494 (base 10) in base 4?\nAnswer: 2211321012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = o + 6. Let c(j) = -j**3 - 22*j**2 + 206*j + 116. Calculate the remainder when c(-29) is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5910038*j**6 - j**2 - 35720357.\nAnswer: -709204560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1416*-137.\nAnswer: -430.3992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 294 = 4*l. Suppose l = n + 3. Let p = 137\/3 - n. Sort -3, p, -3\/8, -4 in ascending order.\nAnswer: -4, -3, -3\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 4543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 332152 and 0.6.\nAnswer: 199291.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/(-4))\/((-1)\/34). Let z(u) = -5*u - 119 + s. Let m(h) be the third derivative of h**5\/60 - 2*h**2. Give z(m(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 685*x + 2728. Determine p(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/3120*-39*44\/(-2)*-1.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10390 or 10359?\nAnswer: 10359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*z**6 - 2*z**2 - 21.\nAnswer: -7440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 106073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*w - 20, 0 = -2*u - w - 9 + 22. What is the lowest common multiple of u and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6 - 0.4. Let p = -3 + 1. Let s be (-54)\/45*p\/(-4). What is the closest to -2\/5 in s, q, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 7*w - 7. Let v be r(-5). Suppose -5*u + 5*j + 31 = -54, -2*j + 61 = v*u. Let k = 8 + u. What is the greatest common divisor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvv when three letters picked without replacement from {d: 16, v: 4}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 5*h**2 - 6)*(615*h - 341*h + 611*h) to the form l + k*h + v*h**3 + g*h**2 and give v.\nAnswer: 4425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*i + 303 + 192. Suppose -q + 3 = -0. Suppose 5 = 3*c - 5*m + 21, 4*c - 3*m + q = 0. Solve -c*k = -2*z - i, 0 = -3*k + 4*k - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 65.21 (b) -2\/13 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/((14\/78)\/(-7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2720352 divided by -340044.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9678067 a multiple of 1908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 27*o - 9*o - 16*o - o**3. Let s be (6\/4)\/(1\/(-2)). What is the remainder when 41 is divided by b(s)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/15*1)\/(488\/183).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 151395?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 7:07 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1 + sqrt(68))*-2 - (sqrt(68) - 1*sqrt(68))*4) + 1)*5*2 + -5)**2.\nAnswer: 1200*sqrt(17) + 27425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7973 + 63737\/8. Suppose 5*t = 2*t - 18. Find the common denominator of -1 + 2 - (-141)\/t and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1594254*i**2 + 16*i + 974 wrt i.\nAnswer: 3188508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*(-1456)\/312.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 660*d**2 - 330*d**2 - 333*d**2 - 133*d + d**2 + d - d + (4 - 3 - 3)*(2*d**2 + 1 - 1) + 0*d**2 + d**2 - 3*d**2 as h + z*d + x*d**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r**5 - 5*r**4 + 5*r**3 - r**2 + 5*r. Let s(z) = -z**4 + z**3 + z**2 + z. Let q(t) = -p(t) + 5*s(t). Find the third derivative of q(w) wrt w.\nAnswer: -660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*t + 697 = -528*t + 3423 for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 5:25 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289755 - 4324*h**2 + 289755 + 4345*h**2.\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 5*x**2 - 6*x - 3. Let z be l(6). Let v(h) = 3. Suppose 10*k = 16*k - 18. Let y(t) = -7*t - 7 + k + 3*t + 3*t. Give z*y(r) - 4*v(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.8, -3\/5, -0.1, 3, 26\/11?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g**2 - 15301509 + 15301552 - 4*g**3 - 5*g**3 in the form a*g**2 + p + c*g**3 + t*g and give p.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3821, -14722, -32801, -58058?\n\"Answer: -3589*c**2 - 134*c - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m - 8*m - 13*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 13*t**2 + 21*t - 11. Let c be n(-11). Suppose c = 17*l - 19*l + 6. Let j(v) = v**2 - 5*v + 3. Calculate j(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.115 + -0.085. Which is the closest to 2? (a) 0.4 (b) -2 (c) s (d) 5\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11930, -12355, -12796, -13259, -13750?\nAnswer: -14275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(26\/3 + -4 - 4). What is the first derivative of -58 - 4*c**j - 57*c**2 + 34*c**2 wrt c?\nAnswer: -54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2571*f**2 - 2568*f**2 + 10 + 8 - 35.\nAnswer: 3*f**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p - 11869164. Suppose 3*n - 590019 = -p. Let o = n + -427576. What is o rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1100) - ((sqrt(1100) + 0)*6 + sqrt(1100)) - (-2 + sqrt(1100)*1))**2*1.\nAnswer: -280*sqrt(11) + 53900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25\/50 - (-175)\/2 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652391912?\nAnswer: 2, 81548989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 5*m**2 + 3*m + 6. Calculate the lowest common multiple of r(-4) and (0 + 1)\/((-2)\/(-22)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*f = -233*f + 6. Solve -2*p + 7 = -5*w + f*p, -p = 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10921210?\nAnswer: 2, 5, 823, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k + 23*k + 20*k + 13*k to g + s*k and give s.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 0 + 0*u**2 - 1\/8*u**4 + 0*u**3 + 17*u + 3\/40*u**5. Find t, given that i(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/18*((-80)\/70 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173806\/5 + -45537231\/1310. Find the common denominator of h and -33\/14.\nAnswer: 9170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*z - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*i + 6 = 120*i, 4 = -2*x - 2*i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -16*t**3\/3 - 23*t**2 - 32*t + 70. Let m(k) be the first derivative of w(k). Find the first derivative of m(d) wrt d.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzzezgzglgzjerrzee. What is prob of picking 1 r, 2 e, and 1 j?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-13\/3)*o*o)\/o*o)\/o)\/((o**(-1\/2)\/o)\/o)*(o**10)**(-2\/7))**(-24) assuming o is positive.\nAnswer: o**(620\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3\/8, 3\/10 in decreasing order.\nAnswer: 3\/8, 3\/10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, u: 1, v: 1, f: 2}. Give prob of picking 1 v and 1 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 2*a**2 - 3*a - 2. Let s be j(4). Let l be (8\/(-6))\/((-12)\/s). Differentiate -2*m - l + 4*m + m wrt m.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87821\/143 or 615?\nAnswer: 87821\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -234, -279, -332, -387, -438, -479?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87.836009 - -0.06.\nAnswer: -87.776009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1399*v**2 - 1 + 1396*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520271021.\nAnswer: 751, 692771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000505 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(88) - sqrt(88)*-2)*4 - (sqrt(88) - sqrt(88)*-2*4)))\/(4*(-3*(sqrt(128) + 1*sqrt(128)) + sqrt(128))).\nAnswer: -3*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6563, -13124, -19687, -26252, -32819, -39388, -45959?\nAnswer: -52532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (837\/15)\/(5 + 72\/(-15)). Let u = n + -1117\/4. What is the second smallest value in u, -0.7, -1.4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3373091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1336\/(-14))\/((-5)\/(140\/8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 104148?\nAnswer: 416592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 7:26 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -0.23 (c) -0.5 (d) 7 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*-2*sqrt(65) - sqrt(65) - sqrt(65)) + sqrt(65) - sqrt(65))*1*3)\/((sqrt(3500) - (sqrt(3500) + sqrt(3500)*1))\/(sqrt(28)\/sqrt(64)))*3.\nAnswer: -9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n - 2*q - 9 - 2 = -7*q - 6, -4*q = -4*n - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 61. What is the derivative of -3*i**4 - 23*i**4 + 2 + g + 7 wrt i?\nAnswer: -104*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36280.\nAnswer: 2, 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (9 + 2)) + (-3 - 3) - 2\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = 2730636 - 9866636. Round d to the nearest 10000.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5225977 is divided by 136?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 13*z + 0*z - 3*z. Let t(m) = 2*m. What is t(c(i))?\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.83201 minus 39?\nAnswer: -29.16799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - 10*y**2 + 10 + 12*y**2 + 2 - 1 to o + w*y**2 + z*y and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 20.6. Put -11, -3, s in descending order.\nAnswer: s, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 91, -5, 0 in ascending order.\nAnswer: -5, -4, 0, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137207 is divided by 140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - n - 1. Let t = -17 + 7. Let r(m) = -8*m**2 + 4*m + 14. Let q(u) = t*z(u) - r(u). Find w such that q(w) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*h - 5*k + 13, 5*h = -3*k + 14. What is the smallest common multiple of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68661+-17495.2\nAnswer: -86156.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 4:18 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -11.472264078\nAnswer: -25.472264078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j - 8*j + 8*j - 5*j.\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -3*r - 2*k + 61, -r + 9 = -2*k. Solve 2*t = -h - r, -8*t + 2*h + 11 = -7*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -95541, 5\/4, -163, -0.5?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7983695 millilitres in litres?\nAnswer: 0.0007983695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -3416975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-30) + (158436\/(-40))\/(-9)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218473942517874 - 0.2\nAnswer: 218473942517873.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 2*x, -6*p + 7*p - 5*x = -14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1051, -962, -845, -694, -503, -266, 23, 370?\n\"Answer: a**3 + 8*a**2 + 58*a - 1118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**(11\/2)\/j)*j)\/(j*j**(2\/43))*(j\/j**(-7\/5)*j)\/((j**7*j)\/j*j*j) assuming j is positive.\nAnswer: j**(-3503\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzd. Give prob of sequence zdzz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30728, 30730, 30732, 30734?\n\"Answer: 2*u + 30726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112022021101 - -1222?\nAnswer: -112022012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 7*b**2. Let i be h(3). Calculate the greatest common divisor of i and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 4*f + 4. Let g = 10 + -13. Let d be b(g). Let a = 19 - d. 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 h(g) = 4 - 2*g - 4 + g**2. Let j = -55 - -62. Is h(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2. Let y be 3\/5 + (-44)\/(-10). Let x(r) = -2*r + 2*r**2 + y*r - r**2. Let b(p) = -p**2 - 2*p. Let t(s) = 3*b(s) + 2*x(s). Give h(t(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 + (-1)\/(-9)*129. Suppose d*y = 11*y + 780. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p - 3*p)*(-9*p**2 + 9*p**2 - 2*p**4).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 869474 divided by 23.\nAnswer: 869474\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26351057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i**3 - 16*i**2 - 11*i + 25. Does 128 divide n(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12\/17 - -128\/85. Which is the second biggest value? (a) 5 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14825 is divided by 11367?\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -3 + 5 - 198\/22. Sort -5, w, -69, -2 in decreasing order.\nAnswer: -2, w, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = k - 2, 3*k - 8 = -s - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/13, 171, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 8:20 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -3*a**8\/56 + a**4\/6 + 3*a. Find the third derivative of h(n) wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 667606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 238 (b) 1 (c) 0 (d) 3\/13 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -246 (b) 3\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 2\/3 (c) -14.73 (d) 3 (e) 25 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73bd23 (base 14) in base 4?\nAnswer: 32323101023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1821\/19 + -5444\/57. What is the smallest value in -2\/11, o, 162?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01 and 1349360560.\nAnswer: 1349360559.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1067\/12 - 535\/6. Let i = 8.2 - 8. Which is the closest to i? (a) 3 (b) 6 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*h = f + 2, 0 = 3*f + 4*h + 13. Let s be (-299)\/(-715) + (-6)\/10. Put f, 0, s in descending order.\nAnswer: 0, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) 0.5 (c) -308 (d) -69\/2 (e) 0.4 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 7) to base 16\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -20. Let m = -21.9847 + g. What is m rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 2*b**5\/5 - 25*b**3\/3 - 14. Find the third derivative of a(g) wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158\/35 + -24\/5. Let k be 6 + 1*(3 - 5). Suppose 5*q - 1 = -3*h + k*q, -2*h - 6 = 4*q. Which is the smallest value? (a) 4 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/1330 - 368\/1820)*1\/(-6).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 14362 - 173. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -57. Let b be (-6 - 36\/(-6))\/(m + 0). Suppose 3*d + 6 = b, -3*t - 2*d + 1 = -4. Solve z - 4*z = t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38.46627 from 90.\nAnswer: 51.53373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93755 + 101*t**2 + 93753 - 612*t + 612*t.\nAnswer: 101*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**5*u**3 + 26701*j**5*u + 15*j**2*u - 353*u**3 wrt j?\nAnswer: 120*j**2*u**3 + 1602060*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**(-7))*a**(-4\/3)\/a*a)\/((a\/(a\/(a\/(a*a**10*a))))\/(a*a\/(a*a**(2\/25)\/a*a))) assuming a is positive.\nAnswer: a**(1394\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(325) + 1 + -1 + sqrt(325) + sqrt(325) + (sqrt(325) + 1)*2))**2 + (-4 + sqrt(325) + 0 + 0 + -1)**2.\nAnswer: 1550*sqrt(13) + 130414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6303063233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 3:26 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -467, -3111, -7903, -14843, -23931, -35167?\n\"Answer: -1074*j**2 + 578*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 51. Suppose 5*n = -o, 0 = -9*x + 4*x - 2*n. Suppose -49 - 7 = -x*q. What is the remainder when q is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from zvvvbbbzzvzjvbvvy?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -197 - -198. Sort -3, s, -5, 6 in increasing order.\nAnswer: -5, -3, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97519401 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n + 26397 + 25375 = 0. Calculate the highest common divisor of n and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285472 divided by 88?\nAnswer: 3244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 21*z**2 - 17*z - 56. Let j be c(20). Suppose -j*a + 4 = 0, -5*w = -5*a - 27 - 8. Calculate the highest common factor of w and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*f - 5, -53 = -5*f - 0*f - r. Let x = f + -5. Let d = 7 + -7. Solve 5*t = -4*a - 16, x*a + d*t + 15 = -5*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c + 72. Let p be j(11). Let n(q) = 10*q + 54. Let m be n(p). Solve 0 = -m*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -17. What is i rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofrrcowooor. Give prob of picking 1 f and 1 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 19, w: 1}.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 10*j**2 - 6*j - 7. List the prime factors of b(7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -5, -1, 2 in descending order.\nAnswer: 2, -1, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2717913 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*r = 5*r - 31, 0 = -3*h + 3*r - 21. Let a(u) = 14*u + 167. Calculate a(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*1*10\/(-20)*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.4 + -10.1. Let d = n + 5. Let r = d + -0.2. Which is the second smallest value? (a) 0.2 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.4, -1\/2, -5, 185?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r + a + 25, 0 = 2*a. Suppose -r*z = -2*z - 33. Let o = -8 + z. Solve -3*q - o = -0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 85 = -5*t + 3*p, -109 = -4*t - p. Suppose 0 = -3*n + 7 + t. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 190078.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/3)*x)\/x*x)\/(x**(2\/5)\/x))\/(x**(2\/9)*x**(1\/6)) assuming x is positive.\nAnswer: x**(79\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.752 + -7.052. Sort -2\/15, -1.17, x.\nAnswer: -1.17, x, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 5)*(3*b + b - 3*b) - 35*b - 20*b - 11*b)*(0 + 1 + 1).\nAnswer: -134*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) 2\/413 (c) -0.401\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45673460?\nAnswer: 2, 5, 7, 311, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7*n*n\/((n\/(n**(-10)*n))\/n)*n*(n**0)**(1\/2))**(26\/5) assuming n is positive.\nAnswer: n**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*s + 0 + 24*s - 6 - 54*s + 0*s**3 + s**3 to o*s + y + i*s**3 + q*s**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 15. Suppose -5*o = -2*c - 31, -2*o + f*o + 5*c = 10. Find the second derivative of o*l - l - 5*l**5 + 10*l**5 wrt l.\nAnswer: 100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 34*p**2 + 1. Let m(l) = 107*l**2 - 42*l + 20. Determine m(n) - 3*y(n).\nAnswer: 5*n**2 - 42*n + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 646.000000548 + -646. Round b to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 5:16 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8706, 17333, 26058, 34929, 43994, 53301, 62898?\n\"Answer: 8*o**3 + o**2 + 8568*o + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - 4. Let l(r) = 2*r + 3. Let c(i) = -5*k(i) - 8*l(i). Differentiate c(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*u)**(1\/23))**35 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**2 - 4*t. Suppose 11*y - 14*y = 12. Let h(r) be the first derivative of -r**3\/3 - r**2\/2 - 2. What is y*h(b) + w(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 64. Suppose 0 = y + 4*w - 667, y + 103 = -2*w + 774. What is the highest common factor of y and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -3.19422?\nAnswer: 12.77688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13689907 a multiple of 760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -16*g**2 + g + 1. Let o(s) = 94*s**2 - 6*s - 1033. Give 6*b(l) + o(l).\nAnswer: -2*l**2 - 1027","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(180)*-6 - (sqrt(180) - (sqrt(180)*-1*-5)**2 - sqrt(180)).\nAnswer: 36*sqrt(5) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11913.9614 rounded to the nearest 10?\nAnswer: 11910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -237276.9759 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5923826800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-14)*(-5 + 11\/2). Which is the closest to x? (a) 1\/7 (b) -2 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -6. Let u(h) = -2*h**2 + 3*h + 5. Let z(b) = -4*b**2 + 7*b + 11. Let x(w) = -7*u(w) + 3*z(w). Let c be x(g). Solve j + c - 3 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1752?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10678 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56426 (base 8) to base 11.\nAnswer: -169a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*h**2 - 45*h**2 - 36*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3379*q + 46516 + 9787 = -143058 for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/31)*y\/(y**(-12)*y) assuming y is positive.\nAnswer: y**(370\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 6:37 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 181737 and 530?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 12:14 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 15*z**2 - 33*z - 40. Is y(-13) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2457 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*n - 112*n - 525 - 1731 - 735 - 1016.\nAnswer: -n - 4007","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-120) + 3850\/(-9000)?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3359*f**2*j**2 - 15*f**2 + 7*f*j**2 + 2450*f*j wrt f?\nAnswer: 6718*j**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 21*d**2. Let i(w) = w**2 - 4*w - 6. Let t be i(5). Let f be z(t). Suppose 4*h = 3*s + 4 + 28, -h + f = -4*s. Put 5, 2, s in decreasing order.\nAnswer: 5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7767, -15533, -23299, -31065, -38831?\nAnswer: -46597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30134 (base 5) in base 14?\nAnswer: 9b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 163231 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, p: 1, n: 3}. What is prob of sequence pnyn?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3572 is divided by 408?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-195)\/25 + 5)*(1 + 39). Let y = n + 138. What is the remainder when 68 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -4 (c) 1\/3 (d) -89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 989868 is divided by 310?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204 (base 7) to base 3.\nAnswer: -10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) 4 (b) -13\/3 (c) -0.0296 (d) -1\/9 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325694206?\nAnswer: 2, 467, 348709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.03, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3447233022 to two dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1471, -715, -2, 0 in descending order.\nAnswer: 1471, 2, 0, -2, -715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhxzxxhhxxeqx. Give prob of sequence zhq.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159527090?\nAnswer: 2, 5, 15952709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**3\/6 - 3*v**2 + 2*v. Let n be z(-3). Is -3 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66778 and 8878.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 24*d - 414. Solve u - 9 = 5*q + 5*u, 0 = 3*q - 3*u + d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -281, -371, -443, -491, -509, -491, -431?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -481 + 481. Suppose g = 2*t - 2*f - 738, 2*t = -5*f + 274 + 485. List the prime factors of t.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -140 - -93. Let i = -116 - v. Let f = 62 - i. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*u. Suppose u = 3*v - 2*f - f - 45, -v + 30 = 2*f. Calculate the greatest common factor of v and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 187581 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (0 - 0 - -8)) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2223 + -6598\/3. Find the common denominator of g and -2 + 4 + 325\/(-510).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -17, -44, -57, -44, 7, 108, 271?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*q + 40. Let g = -11 + q. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20642423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -7*q**5\/3 + 1307*q**4\/3 + 9824*q**3\/3 + 13676*q**2\/3 - 18592*q\/3 - 6208\/3 = 0.\nAnswer: -4, -2\/7, 1, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 41, -970?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9.24 (b) 1\/3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*t**3 + 2*t - 62.\nAnswer: 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**5 - 98*s**4 - 825*s**2.\nAnswer: 120*s**2 - 2352*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-76)\/112 - 1\/(-4). Let p = -0.3 - 4.7. What is the closest to -2\/13 in p, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11594341 and 341.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i - 3*i + 9*i**2. Let s(c) be the second derivative of -2*c - 1\/3*c**3 + 0 + 0*c**2. Give s(q(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5214438 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i + 126. Let u be p(-20). Let c(w) = w**3 - 5*w**2 - w - 19. Determine c(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 680.5*-2\nAnswer: -1361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 709886152 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: What is the biggest value in 1\/3, 0.3, -1\/4, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.081778\nAnswer: 0.245334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1544*u + 295*u + 709*u = 3196*u + 209216 for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4 - (-34)\/8. Suppose -5*k - l - l + 15 = 0, v*l = 0. Factor -c + c**2 - 1 + k + 0 - 2*c**2.\nAnswer: -(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 18.221.\nAnswer: 17.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -499.999346 - -500. Round i to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17a - -471?\nAnswer: 61b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/4)\/((-3)\/(-10)). Let t = 0.15858 + -0.15858. Which is the nearest to t? (a) -0.4 (b) w (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 8:43 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 18458351030.363\nAnswer: 18458351030.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/4 of a second?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a millisecond in microseconds?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*v**2 - 103*v**2 + 52*v**2 to y*v**2 + f + k*v and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 173 = 3*h + 185, -h - 5*t = 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*2)\/(168\/2400). Let j = d + 2214\/77. What is the closest to 3 in -1, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 3. Let o be n(0). Let z = 8 - 6. Suppose g = -5*k + 8, 0*g - z = g. Solve m = -t + 7, -k*t + o*m + 7 - 18 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-1 - -6 - 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11263897?\nAnswer: 11263897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*3)\/((180\/(-16))\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(19\/5)\/g)\/g**17 assuming g is positive.\nAnswer: g**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(5\/(-5)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 12:46 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2*o = -16, 4*v + 25*o = 23*o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -219, -606, -1329, -2556, -4455, -7194, -10941, -15864?\n\"Answer: -28*m**3 - 191*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/3))\/u**(1\/2))\/((u\/u**(-6\/7))\/(u**1*u))*(u**(-1\/5)*u*u*(u*u**(-7))\/u*u)\/(u**2\/u*(u*u**(1\/12))\/u) assuming u is positive.\nAnswer: u**(-2089\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 divided by -33.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6311 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 1. Let w(v) = 215 + 2*v**2 - 200 - 3*v**2 - 13*v. Let j(n) = -5*r(n) + w(n). Calculate j(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)\/h)**43*(h**0)**(-20)*(h**6*h*h\/(h**1\/h))\/(h**(-1\/5)*(h\/((h*h\/(h*h*(h\/h**(1\/2))\/h)*h*h)\/h))\/h) assuming h is positive.\nAnswer: h**(-569\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**2 + t - 6. Let l(k) = -10*k**2 - k + 7. Determine 6*g(c) + 5*l(c).\nAnswer: 10*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*n + 4*t - 610, t = 3*n - 1804. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5, 272\/27?\nAnswer: 272\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960232?\nAnswer: 2, 7, 13, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -126 (b) -0.4 (c) -3\/5 (d) 8 (e) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.48223 millennia to months.\nAnswer: 677786.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 + 99. Is ((-63)\/(-27))\/(y\/(-9981)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 858.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 2:31 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -113560?\nAnswer: 113561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 3)*(-26*o**2 - 2 + 3*o**3 - 53*o**2 + 47*o**2) to the form v*o + a + z*o**2 + m*o**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361782 divided by 25694?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2492 + -2423. Calculate the greatest common factor of u and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 382945, 765873, 1148801, 1531729, 1914657, 2297585?\nAnswer: 2680513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*f**2 - 205*f**2 + 714*f**2.\nAnswer: 293*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 5*u + 3*a, -852*u + 3*a = -855*u - 18 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -20*q**3 + 11*q**2 - 11*q - 11. Suppose 0*o - o + 11 = -x, 3*x = -3*o + 33. Let p(d) = -7*d**3 + 4*d**2 - 4*d - 4. Determine o*p(h) - 4*i(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7765?\nAnswer: 5, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dedk when four letters picked without replacement from glkdvedk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-32)*(-8)\/(-2))\/(2\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.92552 - 1.9006. What is a rounded to 3 dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-25)*(-60)\/84)\/((-38)\/(-7)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 25371 = z, -38*n + 35*n + 4*z + 25353 = 0. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m**2 - 14*m. Let w(h) be the second derivative of h**4\/4 - 5*h**3\/6 - 124*h. What is 4*a(r) - 11*w(r)?\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -1125\/2*o**2 + 1 + 0*o. Let u be h(4). Round u to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o**2. Let m(j) = -11*j**2 + 5. What is m(f(x))?\nAnswer: -275*x**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 + 810*q - 10. Let a(s) = -20*s**2 - 4048*s + 48. Determine 5*a(c) + 24*b(c).\nAnswer: -4*c**2 - 800*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15 and 1228590.0492865.\nAnswer: 1228605.0492865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 12.1. What is the second smallest value in g, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68337*-1439\nAnswer: -98336943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2064.689 litres?\nAnswer: 2064689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -256? (a) -0.1 (b) 0 (c) 6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25655300*n**2*y - 656*n**2 - 2*n*y**2 - 143079 wrt y?\nAnswer: 25655300*n**2 - 4*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 2*r + 3*r. Suppose -s + 2*d + 13 = 0, -6*s + 5*d + 37 = -2*s. Let m(u) = 3 - s + u. Give m(k(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 378508?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**5 + 38*k**2 - 36*k**2 + 23*k**5 wrt k?\nAnswer: 1560*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9f2 (base 16) to base 5\nAnswer: -40141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 188*3\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/(-42))\/(6\/(-28)). What is the highest common divisor of 10 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9844.0007924 - 9844. Round l to five dps.\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, -0.02, 1, 0.3, -361?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14237 is divided by 76.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -5.8. Let g = -2 + d. Which is the closest to 1? (a) 4 (b) -1\/10 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 17*t + 17. Let x be s(-16). Let o = x + -23. Is (-8)\/o*(-615)\/3 - 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12 = -3. Suppose 0 = p*x - x - 64. Suppose -25 = -z + 4*s + 13, x = -4*s. What is the remainder when 42 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(56)*-2 + (sqrt(112)*2)\/sqrt(2))\/(((sqrt(72)*1 - sqrt(72)) + sqrt(8))*-1).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 - 2045 = -9*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.8926 - 1.2504. Let v = 0.143 + g. Let a = 0 + 0. Is a greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzmmglmdxmxdzzgl. What is prob of sequence dmx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.276 + 0.516. Which is the third smallest value? (a) k (b) 0.8 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/60)\/((6\/(-4))\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*h = 14, 2*k + 2*h = -h + 2. Let f(q) = -24562*q**3 - q**2 - 2*q - 8. Let x be f(k). Round x to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 3*o - 12 = 0, -276*w + 138*w - 2*o + 5 = -139*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + -1101?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -221 + 239. Let d be (16\/f)\/(9\/27) - 2. What is the nearest to -1 in -9\/7, 2, d?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -12534\/11 (c) 0.2 (d) -22 (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 13 = -16. List the prime factors of d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 27 - (-8 - (12 - (-2 + 16)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 5*l + 16, -3*l - 19 = -2*f - 27 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -189 + 191. Factor 111*d + d**b + 79*d - 1805 - 6*d**2.\nAnswer: -5*(d - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 8*l - 3. Let w = -39 - -53. Let i = w - 10. Determine f(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33131 is divided by 486?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 542400318 - 2011220366873\/3708. Let k = n + -13\/412. What is the common denominator of 131\/30 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3802569378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -20*r**4 - 1808*r**3 - 700*r**2 + 1808*r + 720 = 0?\nAnswer: -90, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 15. Suppose 3*t = 7 + s. Suppose -4*p = 2*x + t, p - 15 + 4 = -2*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 9*r**6\/2 + 31*r**2\/2 - 28. What is the second derivative of s(u) wrt u?\nAnswer: 540*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2102?\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2387 divided by 63.\nAnswer: 341\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 27 = -8*y + 45, -4*y = 4*d - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: c (base 14) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 30 = -3*u. Let x = -10 + u. Suppose x*p - 29 = -n - 4, -3*n + 20 = 4*p. Let d(y) = y**2 - 1. Give d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 56*r**2 - 384*r - 7. What is b(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q - 93. Let l be f(-12). Suppose l*i = -5*y + 1435, -8*y - 3 = -5*y. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2071 is divided by 82?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 22.9. Let n = 5.7 + w. Let t = 0.417 + n. What is t rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*(-5 + -5 + 6*sqrt(200)*1)*2)**2*4.\nAnswer: -460800*sqrt(2) + 2916864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/15 - 414*v**4\/5 - 35332*v**3\/15 + 25216*v**2\/5 = 0. Calculate v.\nAnswer: -591, -32, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmmmmmggmgmmmmmgmm?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z + 0*z + 2*z**3 - z. Let b = -119 - -195. Calculate the remainder when b is divided by d(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3627*h**3 + 3512*h**3 - 77256 + 77254.\nAnswer: -115*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/19 + 2*u\/19 - 24\/19 = 0 for u.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.1 - 1.6. Round s to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*d - 9. What is the highest common divisor of d and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 + 151 = 5*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 246*g**5 - 1972*g**4 - 34900*g**3 + 138328*g**2 + 1408078*g - 22932 = 0.\nAnswer: -7, 2\/123, 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 25 - 24 = 0. Let r = -10 - -7. What is the tens digit of (1 - r)*(i + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19573 (base 16) to base 8.\nAnswer: -312563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2412467*r. Let p(f) = 24*f**2. Determine k(p(d)).\nAnswer: -57899208*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -26. Suppose 2*r - 5*g + 43 = r, 3*r = 4*g - 74. Let m = r + k. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23754 or 23723?\nAnswer: 23723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 835.1 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((0\/1)\/(-5))\/(-2). Which is the nearest to -1? (a) -1\/3 (b) 4 (c) 0.1 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/6 (b) 5 (c) 2\/17 (d) -1 (e) -2\/11 (f) 3\/35588\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 23*g - 538 - 198, -2*g + 64 = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17357?\nAnswer: 17, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 66 = 423. Suppose -u*g = 12*g - 9273. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12050 = -2*q, 601*g = 603*g - 3*q - 12035. List the prime factors of g.\nAnswer: 2, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-60)\/450 - (-64)\/30. Suppose -5*z + 4*s = -546, 0*s - 438 = -4*z + y*s. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3114 - 3087. What is the smallest value in s, 2\/11, 0.7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -111, -143, -175, -207, -239?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*d + 6. Suppose -4*u + 7*u - 108 = 0. Suppose 5*s - 15 = 0, 0*s - u = -5*w - 2*s. What is the remainder when w is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 20 = -13*r. Let q(s) = -s. Let u(i) = -3*i**4 - 6*i**3 + 4*i**2 + i + 7. Let x(b) = r*q(b) + u(b). What is the third derivative of x(o) wrt o?\nAnswer: -72*o - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.3687678 centuries?\nAnswer: 0.03687678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-87 + -2)) + -19308 + 19264?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(700) + 1 - sqrt(7) - (sqrt(343) + 1)) + 4.\nAnswer: -12*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 3\/10 (c) -44113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4433 + 4678. Calculate the greatest common divisor of y and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 31*n**2 + 114*n - 286. Give d(34).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13974 is divided by 349.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/348 and -50\/87.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (6 + 0 + -11 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -17*q. Let b be y(-4). Suppose -3*w = w - b. What is the remainder when w is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -49 + (-33 - -2) + 52?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1621356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = -4*d - d - 67 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 394105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 16*l + 6. Let p be h(3). Suppose -2*w + 4 = -4*v, 3*v + 5*w - 21 = 2*v. Suppose -j + v + 5 = 0. Calculate the highest common factor of p and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 659 + -655. Solve 5*w = -j + 24, 0 = 2*j - d*w + 2*w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + 2 - 2)*(-31*j**2 + 184 - 184)*(-3 + 0 - 1)*(10 - 8 + 10) to y*j**3 + u + q*j + k*j**2 and give y.\nAnswer: 2976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 6 = -t. Let u(j) = 2*j - 3. Let o(v) = v. Let p = -1 - 0. Let l(r) = p*u(r) + 6*o(r). Calculate l(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41888847671.8 take away -52?\nAnswer: -41888847619.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-484)\/(-33)*(-51)\/(-153)*1\/((-1)\/(-9))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26292 and 2954?\nAnswer: 5547612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 16*f - 17. Let z be g(-17). Let d(j) = 2*j - 1. Let l be d(z). Let i be 10\/1*l\/(-2). Which is smaller: 7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-12))\/((-2)\/2*-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3287048*l**2 - 12486680*l - 11858450 = 0 for l.\nAnswer: -2435\/1282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001433692 rounded to 7 dps?\nAnswer: -0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -5\/2 (c) -4\/5 (d) 0.3 (e) -1526 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t + 2 = 0. Suppose 0 = t*k - 6*k + 20. Suppose 3*w + 2 = k*w. Solve 11 + w = 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79396835 and 1435?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f + 3. Let p be y(2). Let l = 9 + p. Suppose -3*m - 7 = -a, -4*m = a - 2*a + l. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -4 (b) 4 (c) -2 (d) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1979*o + 942. Is x(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -694\/9 - 2\/9*q**2 - 232\/3*q = 0. What is q?\nAnswer: -347, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2151\/95 + 114\/5. Find the common denominator of a and 18\/11.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94554376.\nAnswer: 2, 7, 1688471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1198*-0.4.\nAnswer: -479.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -0.5, 0, 2\/7, -7286 in ascending order.\nAnswer: -7286, -0.5, -0.01, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-3) - -1) + 16\/6. Solve -19\/3*o**2 + i*o + 4*o**3 - 1\/3 = 0.\nAnswer: 1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + n**2 - 4*n**2 + 5*n**3.\nAnswer: 5*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 998 a factor of 2344310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 426 - -667. List the prime factors of p.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*i + 10*n, -6*i + 11*i - 4*n - 18 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqg when three letters picked without replacement from {d: 6, a: 2, g: 2, q: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 1666 = 1624 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00039377 to six dps.\nAnswer: 0.000394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a**2 - 913*a - 20628. Calculate w(-34).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f = -4265 + 4343 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1640 = -2*b, -438*b + 435*b + 2372 = 5*n. Calculate the lowest common multiple of b and 2412.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -8*i + 5*i. Suppose 3*a - 6*f + f = -19, -4*a - f + 13 = i. Let r(h) = -h + 1. What is r(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, 14, 3, -4 in ascending order.\nAnswer: -5, -4, 3, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31175 and 13760?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 5*j - 185 = 4*a - 160, -61 = -2*a - 27*j for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 113 + 104. Solve -9 = -4*k + d, 3*a + 2*k = 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5849803 is divided by 201717?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100619785 divided by 2107.\nAnswer: 47755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 11*b**2 + 6*b + 20. Let t(d) = -d - 3. Let x(j) = -h(j) - 6*t(j). Let m(a) = 2*a**3 - 22*a**2 - a + 5. Calculate 2*m(g) + 5*x(g).\nAnswer: -g**3 + 11*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -0.2 (c) 2\/9 (d) 3 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7405.249l in millilitres?\nAnswer: 7405249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -4, 23999, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k**3 - 20*k**3 - 45*k**3 + 8*k**3.\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042426 divided by -98?\nAnswer: -10637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142549935?\nAnswer: 3, 5, 11, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Suppose l + 4*l - 10 = 0. Suppose 0 = 4*i + 7*n - l*n - 12, 0 = 3*i - z*n + 22. Sort 0, 3, i in descending order.\nAnswer: 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6258*-5\nAnswer: 3.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 4*b - 12. Let i be r(-8). Suppose -2*v = 5*w - 75, -w - i = -2*v + 3*w. Suppose 0 = -7*y + 9 + v. Which is smaller: y or 33\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -330 - 19\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -264, -5, -317, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.8521 + -0.1479. Which is the nearest to -3\/8? (a) -8 (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21481\/1056 + 3\/352. Let q be -3 - 2*23\/(-2). Let t = z + q. Which is the closest to -2? (a) t (b) 3\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 3. What is the smallest value in -2\/3, 1\/2, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, -4, 0.3, 1.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-3)*(-174363)\/91333\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38013.2 + -229931.2. Let k = -191980.0171 - w. Let s = -62 - k. Round s to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 272 - 243.8. Let g = l - 24.2. Which is the biggest value? (a) g (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.212035 milliseconds to hours.\nAnswer: 0.0000214477875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from yesjyoy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3863723222 and 7.\nAnswer: 3863723229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.400631 to 2 decimal places.\nAnswer: -16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-195.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 48 = 20*l. Let m = 58 - l. What is the greatest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8*b + 3*b - 9*b. Let s(m) = -2*m. Let a(r) = -3*s(r) - 2*t(r). Let g(v) = -10*v**2. What is a(g(j))?\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 6, f: 2, r: 3, o: 3, j: 3}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*(sqrt(170)*-1 + sqrt(170) + sqrt(170) - sqrt(170)) + sqrt(170)))\/((sqrt(120) + (sqrt(120) - 5*2*sqrt(120)))\/sqrt(12)).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1937 and 193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 9:51 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 7, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 131721 to the power of 1\/2, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f = -18*f + 15*f + 2014 for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s*s*s\/(s**(-7)\/s)*s)*s*s**(-2\/25))**(11\/3)\/(s\/s**(-8)*s**(-2\/5))**(-3\/11) assuming s is positive.\nAnswer: s**(-22507\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0 + 5*q**2 + 2*q - 2 - 2. Let k(b) = 6*b**2 + 2*b - 4. Let j be (-9)\/(-12) - 130*50\/(-2000). Calculate j*k(y) - 5*t(y).\nAnswer: -y**2 - 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -2c?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/390)\/((-1)\/2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*w = -526 + 1138 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -75484, -150970, -226456?\n\"Answer: -75486*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26325 - 26325 + 2*p - 69*p.\nAnswer: -67*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*x + 5*x + 152, -x + 1 = 0. Let t = 55 + g. Suppose t*n - 705 = 21*n. 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 bvbbbzugbcb. What is prob of sequence bc?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -76336, -152556, -228776, -304996?\n\"Answer: -76220*y - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + f - p = -0*f + 15, -9 = -p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/3)\/((-6)\/(-27)). Let z = i - 6. Solve 2*q + 2 = -z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x + 2*x**4 - 73*x**2 + 79*x**2 - 5*x - 2 as w*x + z*x**4 + t*x**2 + o + d*x**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001809846767 rounded to 6 decimal places?\nAnswer: -0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0089735 to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 + -3.09. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 12 + (-256)\/16 - 6687\/(-1).\nAnswer: 2, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216551628 is divided by 389.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002022000122 - 21?\nAnswer: -1002022000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422397684.\nAnswer: 2, 3, 11733269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23762145 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1020383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 807\/7 + -115. Let m(h) = -5*h + 12. Let g be m(2). Let l(n) = 6*n**2 - 1. Let f be l(-1). What is the nearest to g in f, -2\/13, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o - 294 = 2*h, 5*o = -h - 251 + 154 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((11\/(55\/10))\/(-2))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/7)*m**(-2\/105) assuming m is positive.\nAnswer: m**(-17\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.46*773427\nAnswer: 355776.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -47240 at most -47242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 955*d + 584*d - 5680 = 119*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*m + 52*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*s - 4*t, 3*t - 20 = -2*t. Suppose 3*r = x + 4, -r - 2 = -4*r + s*x. Suppose -r*l = 0, 2*p - 2*l - 20 = 28. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0)*-1*(-6 + 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*90.61.\nAnswer: -3805.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6499063914.\nAnswer: 2, 3, 7, 41, 821, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 887199 divided by 11?\nAnswer: 887199\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = 10 - 66. Find the first derivative of -1 - 11*q - p + 39 wrt q.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m = -23*m - 1912. Calculate the remainder when m is divided by 62.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10}. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 676 + -667. Solve -15*i + 30 = -t*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m**2 - 11*m - 3. Determine l(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4*j - 6)*(-2*j - 67*j - 21*j).\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1949215 + -1949057.0071. Let k = t - 158. Round k to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 2 + 0*u + 4 - 1 - u**2. Let y(n) = n**3 + 3*n**2 - 2*n + 7. Let o be y(-4). Let q(f) = f**2 + 1. What is o*c(i) + q(i)?\nAnswer: 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3431729, -0.1 in decreasing order.\nAnswer: 3431729, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -6 - (3 + -9 + 10 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/5 + 14\/(-35). Suppose x = w + 3*w - 4. Sort w, 2\/9, 4.\nAnswer: 2\/9, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (0 - 12) - 12 - -4) + -56 + -4?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -12. Let q(n) = -n**2 + 11*n - 13. Let m be q(b). Determine f, given that -5*f - 8*f**3 + 4*f**2 + 3*f**4 + m*f - 8*f**2 + 9*f**5 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 53779*g. Let a(w) = 6*w. Give z(a(t)).\nAnswer: 322674*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1028876391 to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvhhhhjhhhhjhvhjhhv. What is prob of sequence vjv?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2) + 0 + -8. Let h = -4 - x. Suppose 34 + 6 = h*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -32*c**2 - 807*c + 648. Determine a(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59818080 divided by -3.\nAnswer: -19939360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 10:57 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167754.\nAnswer: 2, 3, 73, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1628\/7 + 232. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14459.73 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1926157, 3852315, 5778473?\nAnswer: 7704631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64844?\nAnswer: 2, 13, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)\/t*t*t**(-1\/2))\/((t*t\/t**(1\/10))\/(t**0*t)))**(-28) assuming t is positive.\nAnswer: t**(896\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - 1)\/((-30)\/(-20280)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.058 in -0.2, 10, -2\/9, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 18*x**2 - 10*x + 2. Let c be u(21). Let t = c - 719. List the prime factors of t.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.5, -5, -1.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 34*n - 25. Is w(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 67644792.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -631?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 37*r + 4534. Let s(u) = -23*u - 3023. Calculate -5*i(a) - 8*s(a).\nAnswer: -a + 1514","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 639364 and 24926.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 67.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3313*c - 1060175. Give p(-320).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**4 - 6*k**3 + 39*k**2 + 42*k - 72 = 0.\nAnswer: -4, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110010111011000010 (base 2) to base 5.\nAnswer: -110030342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Suppose 0 = 4*u - o - 175, 5*u - 31 = p*u - 4*o. Suppose 3*v = 2*m - 76, m + 4*v + u = 2*m. What is the highest common factor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - 19)*5\/(-4). Suppose 4*n = -j + 89, t = j + 2*j. What is the remainder when 62 is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101*d**2*o**2 - 22*d*o**2 + 3 wrt d.\nAnswer: 202*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r. Let j(m) = 13196*m + 2. Give p(j(t)).\nAnswer: 79176*t + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k + 19. Let p be s(5). Suppose -13*i + p = -0*i. Let q(o) = -2*o - 3*o + i + 3*o + 2*o**2 - 2. Give q(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*b + 344 - 916. Let u(k) = -k + 49. What is the remainder when u(0) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 12 = 2. Suppose 73 = 3*v - 3*x + 13, v + q*x = 20. What are the prime factors of 30\/((-45)\/v - -3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7781472?\nAnswer: 2, 3, 41, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -479 (c) -0.049 (d) 2\/9 (e) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5413153033 + -4?\nAnswer: 5413153026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/45)\/((-500)\/800).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 97, 87, 77, 67, 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by (22\/(-7))\/(2\/(-28)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 228*a - 1948. Let j be i(122). Let d(t) = -3*t**3 - 3*t**2 + 4*t - 6. Let x(o) = -3*o**3 - 2*o**2 + 3*o - 6. What is j*x(v) - 3*d(v)?\nAnswer: -3*v**3 + v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*a - 10 = -2*y, -y = -5*a + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 679321 + -6.6617.\nAnswer: 679314.3383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35256 divided by -15?\nAnswer: -11752\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(0*y + 2*y + y).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*h + 101, 4*h + 5*u - 71 = h. Suppose 3*g - 20 = -h. Do g and 1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -615 (base 7) in base 2?\nAnswer: -100110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -12 + (-8 - -1) + 2 + 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 8*z + 4. Let l be x(-5). Let y be (l - -1)*11\/(-22). Solve 5 = y*r - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 + 36 + -27 - -74).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 501478 - -47335. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r\/(r\/r**(-21)*r)*r))*r))\/((r\/r**(2\/3))\/r)*(((r*(r\/(r**(-6\/5)*r*r))\/r)\/r)\/r)\/(r*r**(13\/2)) assuming r is positive.\nAnswer: r**(371\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 6) to base 12.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.008 - -0.013. Let q = -0.2103 - -0.0313. Let m = q - s. What is the third biggest value in 5, 3\/7, m, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -3.9, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**5\/5 + o**4\/4 - o**3 - 5*o**2\/2 - 2*o + 4. Factor i(t).\nAnswer: (t - 2)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5\/7 - 19*q**4 + 7309*q**3\/7 - 10161*q**2 + 41834*q\/7 + 3160 = 0. What is q?\nAnswer: -79, -1\/3, 1, 14, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 5:01 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - n - 1. Let j be s(-1). Let x = -25411\/12 + 2119. Let v = -5\/4 + x. Which is the third biggest value? (a) j (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306\/(-187)*(-44)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/5 - ((-2610)\/2700 + 3\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3119455 and 12477820.\nAnswer: 12477820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1165*0.173\nAnswer: -201.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 466644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 223 + -223.4. Suppose i - 2*i = 15. Let d be 33\/i - -4 - 2. Which is the closest to 4? (a) d (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*v**4\/15 + 26*v**3\/3 - 12*v**2\/5.\nAnswer: -2*v**2*(v - 9)*(7*v - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - -1)\/(-144))\/((-1)\/(3 - -1))\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -12. Let c(d) = -13*d. Let o(f) = -20*f. Let p(z) = y*o(z) - 7*c(z). Let s(v) = 8*v. Give p(s(j)).\nAnswer: -72*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from sssuswsoowsbo?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509672953.\nAnswer: 31, 67, 245389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -342857*j**4\/2 - 4*j**3\/3 - 4*j**2. Let a be f(7). Let t be (-2)\/3 + a\/6. What is t rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from nkkn.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 203563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2 (c) 1 (d) -3\/2 (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(2 + (-2)\/4*0). Let p = x - 1. Suppose -p*q = -8*q + 138. What is the remainder when q is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001214307 to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(19))**2 + -4)*-4*3.\nAnswer: -228 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -2\/5, -11, 0.2, 1\/3, -12 in decreasing order.\nAnswer: 3\/7, 1\/3, 0.2, -2\/5, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -504400*w**3 - w**2 + 1. Let r(h) = -18*h + 127. Let f be r(7). Let c be v(f). What is c rounded to the nearest 10000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 1, -1, 0 in descending order.\nAnswer: 31, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14691 is divided by 490.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -9.\nAnswer: -9, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*-2*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98018812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2004?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r + 67 = 151. Which is the third smallest value? (a) -4\/49 (b) r (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455682071 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 1) + (14 - 1). Let w be (-32)\/s + 4\/14. Suppose 0*t = 5*t - 25. Put w, t, -1 in descending order.\nAnswer: t, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5345635 * -5.\nAnswer: 26728175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, 3, 29, -3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = -2*v. Find the second derivative of -x**4 - x + 0*x + 0*x + 4*x**v wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200 by 5.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19743.\nAnswer: 3, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-15) + (-40)\/150.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6\/11)*j**(-7\/3))**(-13)\/(j**3\/((j\/j**(-9))\/j*j)*(j\/(j\/(j\/(j**(-4\/3)\/j))))\/j*j*j*j*j\/(j\/(j**(1\/3)\/j*j)*j*j)*j*j) assuming j is positive.\nAnswer: j**(1279\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 + 71*r + 102. Let i be q(25). Solve 0*w - 3*z - 10 = i*w, -2*w - 2 = z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-15)*8\/2*(-210)\/84?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 125021064 (base 7) to base 12\nAnswer: 2820863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -404, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 4\/29 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -739 + 479. Let k = 136 + x. Let g = 103.8 + k. Round g to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 15 + (-5 + 4 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, n: 1, h: 4, k: 2, i: 1, q: 2}. Give prob of picking 1 k and 1 n.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*(-8)\/(-26).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w + 27*w = 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6535080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 1 + 2)*(j + 0 + 0) - 1 - 2*j + 1)*(5 + 7 + 5 + (4 + 1 - 3)*(-1 - 2 + 1))*(-11*j**2 + 3*j + 2*j - 8*j) to s*j**3 + h*j + f*j**2 + n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24579 divided by -9?\nAnswer: -2731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -378998, -758241, -1137484, -1516727, -1895970?\nAnswer: -2275213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 14 + 18)*(f**3 - 2*f**3 + 3*f**3).\nAnswer: -68*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-13) - (-6)\/78. Let p be (-12)\/36 - (t - (-20)\/(-12)). Is 3 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.01 (b) -3 (c) -81 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 8. Let v be o(19). Suppose -5966 = v*p + 8155. What is p rounded to the nearest ten?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -b - b. Suppose b = x + 2*m, 3*x + m = -2*m + 12. Solve x = -4*r + 2*g - 5*g + 3, -5*g + 37 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z - z**2)*(0*z**2 + 3*z**2 - z**2) + 3*z**4 - z**4 - z**4 + 12*z**4 + 9*z**4 + 37*z**4 - z**4 - 3*z + 3*z.\nAnswer: 56*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4082 - 4114 = -4*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*t)*(-5*t**2 + 5*t**2 - t**2) - 3*t**3 + t**3 + 0*t**3 + 5*t**3 + 8*t**3 + 0*t**3 + (3*t - 2*t - 3*t)*(-t**2 - 2*t**2 + t**2).\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 + 1.3. Which is the second biggest value? (a) -2 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 16 - 61 - 2*l**2 in the form v*l + x + t*l**2 and give x.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -11*z**6\/120 - 2*z**3\/3 - 7*z**2. Let i = -62 + 60. Calculate the smallest common multiple of q(i) and 16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.104558 and -2.48.\nAnswer: -2.584558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-14) - (-2323)\/1414. Which is the nearest to -16? (a) 0 (b) u (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 3:36 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvxhv. What is prob of sequence vxh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 321 + -284 - (2 + 7).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0305 * 1183\nAnswer: -36.0815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mco when three letters picked without replacement from ctmttmoxmtmccxffttmm?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2746 (base 8) to base 14.\nAnswer: 79c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -893*j*z**3 - 3*j*z**2 + 428*j - 1 wrt z?\nAnswer: -5358*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11198 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16322 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26.3 and -17071.6.\nAnswer: 448983.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9663767?\nAnswer: 683, 14149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -517, 3, -1, -2.\nAnswer: -517, -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 96\/7? (a) -1\/2 (b) 4 (c) -2 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (6 + -13) - -2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 - (-1 - (-10 + 16 - 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9887\/3 or -3297?\nAnswer: -3297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 2 + -53 - (-32 - 32)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 5:14 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 277 and 2066?\nAnswer: 572282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 - -17016690?\nAnswer: 17016672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -52 + -8a?\nAnswer: -dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50653913?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2. Let c be l(-2). Suppose -c*m = m + 5. Let i = -0.92 + 0.82. Are m and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 1741361 = -5*v + 2*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + 0.2. Let t = 0.0941 + -5.1241. Let u = t - -0.03. Sort -3, u, h, -0.3 in ascending order.\nAnswer: u, -3, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2343.934 micrometers?\nAnswer: 2343934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 - h - 28. List the prime factors of w(7).\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 11) + -1 - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/832 and 22\/38285.\nAnswer: 2450240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 113 = 4*v - 2*z, -2*v + 3*z + 35 = 0. Calculate the remainder when v is divided by (-21)\/35 - (-38)\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3490 is divided by 50.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79 - -83. Suppose -5*q + 4*q = -1, v*b + 3*q = -633. Let g = -105 - b. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s = -22*j + 17*j + 12, -2*s - 2 = 4*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79 and 1.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*c - 154 = 205, -2*o + 146 = -2*c. Suppose -2*q + 7 + 13 = s, -q = -5*s + 144. Calculate the highest common factor of s and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*l - 738 = -78*l. Let z = 321 - l. Is 37 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4141646 (base 12) to base 8.\nAnswer: -56655126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*p - 1 = 3*p, -2*f = 4*p + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 277\/7 - 40. Let f be 1 + 0 + (-1956)\/(-14). Let m = f - 141. Which is the third smallest value? (a) m (b) 2\/13 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 9:48 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a factor of 125694396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -78 - -5?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 2660489?\nAnswer: 2660488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -4, -5, -20, 54891 in descending order.\nAnswer: 54891, 18, -4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -6, 138 in ascending order.\nAnswer: -6, 10, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 41?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4 - 10*l**3 + 28*l**2 = 0 for l.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 177 = -2*w + 3*j, -5*w - 5*j = -295. Suppose -25*g + w + 41 = 0. Solve -g*h + 9 = -3*y, -h - 4*h - 3*y = 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**4 - 6252*k**3 - 2415684*k**2 + 4850140*k - 2428200 = 0?\nAnswer: -855, -710, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*k - 166*k + 2*p + 22 - 66 = 0, -2*k - 4*p = -6*k - 40 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -26. Suppose -u = u - t. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45)\/60*(-96)\/9. What is the second derivative of -8*x**3 + x**2 - 167*x**4 - 34*x + y*x**3 + 168*x**4 wrt x?\nAnswer: 12*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139275325.\nAnswer: 5, 7, 113, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*-1*5 - sqrt(272))*1 + -3.\nAnswer: -24*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 753*l + 83 = -749*l, 3*y - 3*l = -21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + (-3 - -3) + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11187 and 1197.\nAnswer: 1487871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3857)\/(-174))\/19)\/((-119)\/(-68)) - (-644)\/6.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 20 = 2*q - 3*b, 5*q - 8 = -2*b. Suppose -26 = -4*d - 10. Sort d, q, -1 in decreasing order.\nAnswer: d, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m**4 - 2054267*m**3 - 6*m + 14588921 wrt m?\nAnswer: 8*m**3 - 6162801*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 + -25. What are the prime factors of t?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 599 + 2194. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -307247*k - 27652228. What is r(-90)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31618 - -31645. Solve -x*y + 18 = -24*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**4\/4 - 11*q**3\/3 - q**2 - 10*q + 3. Let k be b(-11). What is the highest common factor of k and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38975900 to the nearest 1000000.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-608*h - 112*h - 178*h)*(2 - 8 - 47) to f + r*h and give r.\nAnswer: 47594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (418*a - 284*a + 2 + 0)*(-3*a - 3*a + 4*a)*(-6*a - a + 4*a) to the form x + o*a**3 + q*a + h*a**2 and give o.\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11117*u + 616 = 11095*u for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 16*x**2 - 4*x**2 - 13*x**2. Let w(d) = -51*d**2. Calculate w(v(k)).\nAnswer: -51*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 6*y - 3*y)*(2 - 1 + 1)*(-2*y + y - y) + (2*y - 8*y + y)*(-4*y + 2*y - 2*y).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 671*z - 673*z + 10, 3*z = -4*b + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1312204 and -0.8.\nAnswer: 0.10497632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -7.3. What is the closest to -3 in -2\/9, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from {x: 3, k: 1, t: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0556298921 to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (0 - -1)) + 3 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drkddkkdkrdrrrrrkddr. Give prob of picking 1 d and 3 r.\nAnswer: 392\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 138\/5 or 0.2615?\nAnswer: 138\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + sqrt(1008)*2 + (sqrt(56) + (sqrt(56) - 1*sqrt(56)))\/sqrt(8))**2 + (sqrt(63) - sqrt(126)\/sqrt(2)) + -1.\nAnswer: 9582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 110 = 2*k. Suppose 0*l = 2*l - k. Calculate the remainder when l is divided by 6\/(-14) + (-495)\/(-77).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from {y: 2, h: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 5 - 2)*(k + 2*k - k) - 2*k - 3*k + 0*k)*(0*k - 3*k + k)*(0 - 3 + 6).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - n - 1. Let l(c) = 7*c**2 - 28*c + 14. Let t(y) = -12*a(y) - 3*l(y). Let o(b) = -10*b**2 + 96*b - 31. Let u(i) = 6*o(i) - 5*t(i). Factor u(z).\nAnswer: -3*(z - 6)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -6 - (-10 - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536820362?\nAnswer: 2, 13, 2011, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-21)*8617\/48009\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12\/25 and 23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (-13 + 21 + 36).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.13181 and 15220713.\nAnswer: 15220712.86819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-6) + 12 + 610\/(-120).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 2*o - 23, 2*o = 7*j - 8*j + 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*c**3\/7 - 156*c**2\/7 - 21*c - 36\/7.\nAnswer: -3*(c + 12)*(2*c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 8. Let g = 96 - 87. Let l = 17 - g. Solve 4*c + p + l = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + ((-1)\/(-12))\/((-267)\/(-33108)).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -2*h - 4*m, -4*m + 5 = -5*m. Suppose 0 = 2*l + 5*j + 99, 10*j = 5*l + 7*j + 201. Is h at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**4 - 8*r**4 + 2 + 15*r + 3*r**4 to i*r**4 + n*r**2 + x*r**3 + t + w*r and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5445750 and 9042?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6 + 0 - 5*u**4 + u**4 - 8 wrt u?\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:31 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 + 145. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 4:02 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 12:09 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, v: 4, j: 8, b: 7}. What is prob of sequence ijb?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*h + 2618 = 44*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 84 = -3*o, 3*i = -0*o - 4*o + 80. Suppose 12 = -4*n, -2*v + n = -2*n - 117. Let f = v - i. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/260 and -93\/183080.\nAnswer: 2380040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 31 = b, -2*v + 6*v - 164 = 4*b. Let h(u) = -70*u + 36*u + v*u. Let o(f) be the first derivative of f**2\/2 + 16. What is o(h(j))?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1615?\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 0. Let i = -25.7892 - -26.1892. Which is the closest to -1.5? (a) -0.4 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9985610 = 396*c - 3304546. Is c a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h**3 + 3*h**3 - 11*h**3 - 8*h wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 0*x + x)*(2 - 2 + 4*x) + (23*x - 5*x + 7*x)*(-3*x + 3*x - 2*x)*(19 + 18 + 5) as u*x**2 + t + s*x and give u.\nAnswer: -2104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 86994.87t in grams?\nAnswer: 86994870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0 + 28. Let w = l - 10. Find the second derivative of -16*t - 3*t**w - 458 + 5*t**4 + 458 wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*m**4 - 17*m**4 - 42*m**2 + 1 + 2*m**4 - 22*m**2 wrt m?\nAnswer: -360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**5 - 6*u**3 - 103*u**2 - 13*u - 148?\nAnswer: 40*u**3 - 36*u - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 680.\nAnswer: -2720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1, -0.4, -47 in ascending order.\nAnswer: -47, -0.4, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 494 divided by -41?\nAnswer: -494\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/2*(-24)\/(-8). Let h be 2\/p - 9401\/153. Let a = h + 61. What is the nearest to a in -0.6, -2, -3\/4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 957, 961, 975, 1005, 1057, 1137?\nAnswer: 1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288634 is divided by 117.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 1 + 20 + 12 + -7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 11*n + 6*n)*(-3*n + 2 - 2)*(-3*n**3 + 3*n**2 + 0*n**3 - n**2).\nAnswer: 117*n**5 - 78*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 58.637?\nAnswer: -5.8637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 38 = 2*n, 108 = 4*n + n + r. Suppose 4*x + 2*j + 6 - n = 0, -18 = -5*x - 2*j. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -155*i**2. Let a(g) = -333*g**2. Give h(a(k)).\nAnswer: -17187795*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10.440893026181 from 0.12.\nAnswer: 10.560893026181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*-1)\/(-11 + 10). Let w = 4 + s. Solve 0 = w*d - 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1040879?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1132 or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13.79, -0.11, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 9633641.\nAnswer: 9633641.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23984?\nAnswer: 2, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -34\/49, -3\/10, -2.\nAnswer: -5, -2, -34\/49, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3214 is divided by 1071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + -1.94. Let x = -49 - -53.6. Let s = x - 0.6. What is the closest to p in s, 1\/3, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.3 - 4. Let m = u + -0.1. Let c = -0.3504 + -0.6496. Sort 2, m, c in increasing order.\nAnswer: c, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -8663?\nAnswer: 8662.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3060592294 - 2*x**3 + 3060592294.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 10 = 5*m, 0 = -2*m + 8*u - 4*u + 4. Suppose -6*d = -m*d. Solve 12 = -d*z + 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Let i = z + -1. Suppose -7*r + 100 = -2*r. Solve v - b - 4 = -i, -5*b = -2*v + r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l. Let n(u) = 4*u - u + u. Determine b(n(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 157705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54845.11ms in microseconds?\nAnswer: 54845110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29551382 by -178.\nAnswer: 166019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45646*m**4 + 17192*m**2 - m + 2.\nAnswer: 1095504*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -881294, -3525181, -7931662, -14100737, -22032406, -31726669, -43183526?\nAnswer: -56402977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (110\/15 - -1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 462 - 276. Suppose -5*f - 5*w - 39 = y, -w = -2*f - 105. Let u = 21 - f. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 136 and -14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 289?\nAnswer: -2\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 12 = -r + 2*q, 5*r + 5*q = 15. Suppose -l + 50 = 5*w, -2*l + 8*w - r*w + 85 = 0. Is l not equal to 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, j: 3, i: 1, l: 5, x: 1, n: 2}. What is prob of picking 1 f, 1 l, and 1 x?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 89 = 149. What is the remainder when 61 is divided by (-6)\/((-3)\/(-9) + p\/48)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86535607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 2:08 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13 - 0)\/(4\/(-1196)). Let y = -132113\/34 - f. Let o = -8883\/4 + 2208. Find the common denominator of o and y.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13008 + -13004. Solve 6\/5*y**3 + 2\/5*y**4 - 6\/5*y - 22\/5*y**2 + j = 0.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(112))*-4 + 2 - ((sqrt(567) + (-2*sqrt(567) - sqrt(567)))*-3)**2.\nAnswer: -20410 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l + 12 = 0. Suppose 2*n - 3*h = 4, 2*n + 2*h - 4 = l*h. List the prime factors of 7 + 2*1\/n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 6. Let k be i(-8). Let n be k - ((2 - -3) + -3). Suppose 2*q + n = 3*u + 39, 2*q = 5*u + 29. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbskekmszebzsk. Give prob of sequence bs.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 41, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-10)\/(-4) + -3)*8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Let d(s) be the first derivative of s**2\/2 - 15. What is d(m(i))?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208061343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 36\/10\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0. Let d be 35\/(-2) + t\/2. Calculate the remainder when 4\/d - 110\/(-9) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3767 = -4*u + 252, -u = -4*s - 1021. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5256, -5150, -4998, -4794, -4532?\nAnswer: -4206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 4 - 4)*(2*h**2 + h**2 - 4*h**2) - 5*h**3 + h**3 + 2*h**3 + (-2*h**2 - 5*h + 5*h)*(-h + 2*h + h) - 1 - h**3 + 1.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 - 153. Let j = -52 - u. Solve 0 = j*p + 5*s - 22, 3*s = 6 - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7678686 - -5?\nAnswer: -7678681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-b + b - b)*(1 - 3 + 5).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2291*n**5 + 9 + 2580*n**5 - 40*n**2 - 2222*n**5 wrt n.\nAnswer: -115980*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 38 = 10. Calculate the remainder when f is divided by (-6 - -16)\/((-6)\/3) + 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (-5 - (2 - 23)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1469 + -2145. Let s = x - -1217. What are the prime factors of s?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -30, 77, -4, 0, 2 in increasing order.\nAnswer: -30, -9, -4, 0, 2, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 9. Let k be (-1 + -3)*(n + 30\/(-20)). What is the highest common divisor of 38 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)\/x)\/(x*x*(x\/(x**6\/x))\/x*x*x))\/(x**(-1\/13)*x*x\/((x**(-1)\/x*x)\/x)*x) assuming x is positive.\nAnswer: x**(-90\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/((-12 - -14)\/((-5)\/23))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p - 237 = -56*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -6) + 70 + -82.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31766 is divided by 31759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549 - (3 + 63\/(-7))?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -7 + (-5 - 2) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97.5 - -95.5. Put -3, 1\/2, v, 48, -2\/3 in decreasing order.\nAnswer: 48, 1\/2, -2\/3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t + 6*t + 18*t + 2*t to k*t + f and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97528 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:37 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1349191*d**2 - 7313460 wrt d?\nAnswer: -2698382*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, -11, -21, -33?\n\"Answer: -q**2 - 5*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1190 divided by -34?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -367*p + 818. Does 34 divide x(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -26?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 336 - 194. Let b = -142.126 + y. Let a = b + 0.1260388. What is a rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:39 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -197, -3, -9, 2 in decreasing order.\nAnswer: 2, 0, -3, -9, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 399.99711 from 0.6268.\nAnswer: -399.37031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*d - 292*d + 5520 = 162*d for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -220 - -136. Let m = 87 + b. Let k be (-12)\/(-100)*(22\/(-6) + m). Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 50*p**2 + 69*p + 40. Let h(j) = 10*j**2 + 14*j + 8. Let q = 210 + -212. Let r(t) = q*d(t) + 11*h(t). Factor r(n).\nAnswer: 2*(n + 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**6\/60 + b**5\/12 - b**4\/8 - 5*b**3\/6 + 27*b**2 + 2*b. Let d be z(3). What is the greatest common divisor of d and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -27574343 (base 8) in base 12?\nAnswer: -2101aab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -85\/4 (c) -179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. What is the third derivative of 4 + 5 - 5*o**6 + o**q - 9 wrt o?\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11\/10 of a millennium?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*sqrt(637).\nAnswer: 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -8080?\nAnswer: 8084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 - 27 - (131 + -48).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 2*w**6\/3 + 3*w**4\/4 + 53*w**3\/3 - 49. Find the third derivative of g(s) wrt s.\nAnswer: 240*s**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 1 = -8*v. Let h(m) be the first derivative of 0*m**v - 2\/3*m**3 + 3 - 2*m. What is the derivative of h(b) wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -36. Let q = 1757925 + -1221758158\/695. Let g = 1\/139 + q. Sort -1\/3, g, j in descending order.\nAnswer: -1\/3, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*j**3 - 343 + j + 16*j**3 - 41 + 26*j**3 to w*j + n + u*j**2 + c*j**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {d: 1, u: 1, e: 1, h: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 357.2904671 rounded to 1 decimal place?\nAnswer: 357.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -27*q - 2012 + 2043, 5*q = -y + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, 2, 0, 124, 6 in increasing order.\nAnswer: -4, 0, 2, 6, 10, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.3 and -25.93.\nAnswer: -370.799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(8 - 3\/1). Suppose 117 = -l*z + 8*z. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 110280.\nAnswer: 771960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -335 - 466. Let d = 138 - r. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -4) + 5 + 1 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*u + 30, -6*u = -2*r - 3*u + 14. Suppose 10 = 3*d - x - 10, 2*d + r*x = -10. Solve -3*b + 6 + 8 = d*l, 4*l = 4*b - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**5\/40 + 3*v**4\/16 - 20*v**2. Factor s(a).\nAnswer: -3*a*(a - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*x**3 + 22*x - 31*x**3 + 7*x**2 - 78*x wrt x?\nAnswer: -36*x + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 250 (b) 0.1 (c) -214\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 12, -13*a + 3*k = -10*a - 216. Let c be (30\/(-4))\/1*a\/(-760). Suppose c*z**3 - 3*z**2 + 15\/4*z - 3\/2 = 0. What is z?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 6:50 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 + -55. Suppose -4*a + y = -8*a + 58, 5*y + j = 2*a. Let d = -7 + 66. What is the remainder when d is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, t: 4, d: 1, h: 1, o: 3}. Give prob of sequence oh.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 2*v**2. Let c be r(-2). Suppose -f - 4 = -c*f. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -51, -55, -75, -117?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 91 = 5*k, -41*t - 2*k = -40*t - 46. Let i(q) = q**2 + 3*q + 2. Let c be i(7). What is the greatest common divisor of t and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*t = -613*t - 48 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-26)\/(-8) + (-9)\/36. Suppose 3*x + 39 = 5*r, -9 + 1 = -o*x. Suppose z - 18 = -5*i, 2*z = -i - 0*i + r. Solve 5*y = -2*u - z, 3*u + 6 = -6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28964 and 121342.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*v - 41 = 3*k, 0 = 5*k - 4*v - 157. Calculate the highest common divisor of 1189 and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from drrds?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (20 + -18 - (10 + -2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - (-673903)\/(-16440))\/(1\/(-2)).\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 3. Let k be i(-3). Suppose 3*o + 4 = -k*a + 2*a, 4*a - 40 = -2*o. Suppose a*s = 7*s. Solve -3*t - n - 7 = 0, s = -0*n - n + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + -27. Suppose 3*o + r = -o. Let b(v) = -2*v + 3. What is the remainder when b(o) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 4, 25 in ascending order.\nAnswer: 4, 21, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335, 335, 337, 341, 347?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0451484 grams?\nAnswer: 45.1484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342118 to the power of 1\/2, to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yhhhhhhhhhyyyh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*w + 1 = 0, 3*m - 8*m + w + 6 = 0. Let a = -5 - -10. Let y = a - m. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2320849, -2320845, -2320841?\nAnswer: -2320837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**2 - 165*s**3 - s**2 + 7 + 2*s + 163*s**3 + 0*s**2 to n*s + k*s**2 + j + w*s**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 329*w**4 + 2*w**2 - 32.\nAnswer: 7896*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 9054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -151?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9931?\nAnswer: 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 + 6*l - 4. Let h(u) = 5*u**2 - 17*u + 12. Let o(a) = 6*h(a) + 17*v(a). Factor o(k).\nAnswer: -4*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*v = 5*v + 1, -5*f + 2*v = -12. Let q = 6\/109 - -14461\/654. Calculate the common denominator of q and 138\/16 + (-4)\/f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/11, -1, 406261 in increasing order.\nAnswer: -4, -1, -2\/11, 406261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905 a factor of 297357961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**5\/30 + s**4\/8 - s**3 - s**2. Let l be 17\/4 + (-30)\/(-40). Let p(v) = 2*v**2 - 4*v + 7. Calculate l*n(x) + 4*p(x).\nAnswer: -2*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 5. Let n be 4\/(y + 1) - -2. Which is bigger: n or -2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 575 - 301. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 11:31 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11038*g**6 + 29*g**3*j**2 - 76*g**2*j**2 + 25751*g**2*j wrt g?\nAnswer: 1324560*g**3 + 174*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyi when three letters picked without replacement from {o: 3, y: 1, m: 2, q: 3, i: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 492634?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5 - 117 = -3*t, -20 = -4*k. Let w = -31 + t. Solve -5*z = w*h - 13, 4*z - 5*h + 3*h - 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 + 67. Let o(d) = 2*d**2 + 5*d + 2. Let p(n) = -n**2 - 3*n - 1. What is m*p(c) - 4*o(c)?\nAnswer: -c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*p - 6 = x, -4*p = -x + 2. Suppose -2*a = -l + 4, -2*l - 12 = 5*a - x. Let o(m) = 2*m - 1 - 4*m - 7*m**2 + l. Give o(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 17*b**3 - 62*b**3.\nAnswer: -45*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = -4*y, 2*q - y + 6*y - 15 = 0. Suppose 0 = -h - 5*w + 193 + 77, 2*h - 3*w - 540 = q. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/54423 in -0.21, -4\/7, -3?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7566*t**2 + 2 - 3*t**4 - 7600*t**2 + 2*t**4 wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 3*k**2 + 7*k - 8. Let s be t(-5). Suppose -s*q + 17 = -4. Solve -q*z - 3*w - 18 = 0, -z - 3*z + 3*w = -11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t = 3*u + 66, 3*t - 60 = -3*u. Calculate the highest common divisor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21808?\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {p: 9, k: 3, v: 1, y: 1}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13+4124870212\nAnswer: 4124870199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17497, -66845, -149091, -264235, -412277, -593217, -807055?\n\"Answer: -16449*t**2 - t - 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + (11 + -18 - -13) + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccwwwwwwcwwccccw. What is prob of picking 1 w and 3 c?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001858 rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lloqqllqblloffflll. What is prob of sequence oqbl?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.277 (b) 1\/5 (c) 0 (d) 3 (e) -4 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379094 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + 19*u**2 + 4*u - 6. Let j be l(-8). Suppose 148*z - j*z + 72 = 0. What is the highest common factor of 60 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 5. Let w(p) = p**2 - p + 1. Let t be w(2). Let y = t + u. Sort -4\/3, 0.11, y in decreasing order.\nAnswer: y, 0.11, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7936 - 11206.283.\nAnswer: -3270.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-900)\/(-6000)*(-5220)\/(-27)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*k - 502, -9*k - 2486 = -5*q - 5*k. Let a be q\/7 + 76\/(-133). Is (-3)\/(a\/(-16) + (-16)\/(-4)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -38*c. Let g(n) = -n + 918. Calculate j(g(d)).\nAnswer: 38*d - 34884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x**2 - 299*x - 248. Let o be p(28). Let m(l) be the first derivative of 1\/30*l**o + 2\/15*l**3 - 4\/15*l**2 + 19 + 0*l. Factor m(c).\nAnswer: 2*c*(c - 1)*(c + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 29688644 and 29688640 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*r + 170 + 512 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/5 - 12277583*x - 61387916\/5.\nAnswer: (x - 61387916)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u + 5. Let k(j) = -16*j - 12. Determine 6*k(a) + 20*n(a).\nAnswer: 4*a + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14323.471 minus 562608?\nAnswer: -576931.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18921 divided by 51\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - 1.9. Put x, 0, 4 in descending order.\nAnswer: 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 + -1b4?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41713 or 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 150*b + 8. Let n be j(-1). Let f = -147 - n. Let v(y) = -y**3 - 6*y**2 - 6*y + 13. Let i be v(f). Solve 3*k + 2*u + u = -i, -25 = 5*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*h\/(h**(-22)*h))\/((h\/((h**(1\/26)\/h)\/h))\/h*h\/(h**(-2\/3)\/h*h*h)*h) assuming h is positive.\nAnswer: h**(1667\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1\/(i*i\/(i*i\/((i**(5\/3)\/i*i)\/i))))\/((i\/(i\/((i**21*i)\/i)))\/i**(-9)))**(1\/33) assuming i is positive.\nAnswer: i**(-89\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 413417945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 20 = 0, -4*y - 13 = -4*w - 5. Let l = 17 - w. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4977976693 + 4977976693 + 17*h.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17393861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-72) - (0 - 3\/18).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 0)\/(-1*2). Suppose i = -d*i + 1. Let w be (-1)\/(4\/(-6)*39\/104). What is the greatest common divisor of w and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93540420 divided by -18708084\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/16 - (2 - (-133)\/(-56)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19 + -15 - (-1 + 1). Solve 5*d = 2*d + p - 11, -5*d - j*p - 41 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, v: 1, m: 1, i: 2, p: 1}. Give prob of picking 1 p and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 - 1 + 1 + (-2 + 2 + 2*x**2)*(-2*x + 1 - 1) - 2*x**3 - 3*x + 3*x - x**3 - 3*x**3 + 6*x**3 + 46*x**3 + 17*x**3 - 24*x**3.\nAnswer: 37*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/12 and -79\/80347392.\nAnswer: 80347392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 20 = -3*q, -5*q + 8 + 2 = -3*j. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/48904638 and -149\/12?\nAnswer: 97809276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15015*0.1\nAnswer: 1501.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31583617?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 16 = 25*f - 27*f, 2*q = 5*f + 22. Let p = 4 - 9. Which is the second biggest value? (a) 2\/11 (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 + 0*m + 0*m + 3*m**3 + m**3 - 2*m**3 + (3*m - 6*m + m)*(-3*m**2 + m**2 + 4*m**2).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(1 - 0 - 2). Suppose 1 = -c*k - 5. List the prime factors of k\/(2\/1)*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4\/15 + 1544*m**3\/5 + 870516*m**2\/5 - 5433336*m + 41277870 = 0.\nAnswer: -1173, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4*x**3 + 1)*(0*x + 3*x - 2*x) - 8*x**4 - 15*x + 15*x as s*x**4 + f*x**2 + c*x**3 + g + d*x and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-5*(sqrt(204)*1 - sqrt(204) - sqrt(204)) - (sqrt(204) + sqrt(204)*-2*1 + sqrt(204)))\/(1*3*sqrt(12)*-2))**2.\nAnswer: 2125\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/(-6))\/5 - (-1 - -4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/16631 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3219*d**2 + 147*d**3 + d - d - 3217*d**2.\nAnswer: 147*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 94448 (c) 2\/13 (d) 1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11147108?\nAnswer: 2, 7, 56873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + -2)*32\/(-80)*7. Let z(r) = -3*r + l + 4 - 11. Let p(n) = -5*n. Calculate z(p(j)).\nAnswer: 15*j + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -787 = -145*o - 7457 for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 54.2.\nAnswer: 54.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(1\/4))**18*s\/(s**6*s)*s**(-2\/11)*(s**0)**4\/((s**(-5)*s*s)\/(s*s**2*s)) assuming s is positive.\nAnswer: s**(909\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -50487.\nAnswer: 4\/50487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -498.4 + 1086.7. What is f rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/68*(135\/6)\/9.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.489979 millilitres to litres.\nAnswer: 0.009489979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 0.1, -3, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 27*f**4 - f**3 - 11*f + 441. Find the third derivative of z(s) wrt s.\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -25, 4.\nAnswer: -25, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1440, 1439, 1438?\n\"Answer: -y + 1441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o + 3*o - 4*o)*(-5*o - 2*o + 6*o) + 8*o**2 + 2*o**2 + 2*o**2.\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20391 - -19379. Is 2 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*z + 4*k + 1621, 5*k - 1576 = -z. Solve z*m + 9 = 1598*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1408 and 512.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*b + 4*r, 5*r + 16 = 23*b - 20*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 9*d**2 + 20*d + 4. Let l be w(4). Suppose 13*q - 15 = 8*q - o, 0 = -5*q - l*o. Factor -3\/2*x**q + 3\/4*x**5 + 0 + 0*x**2 + 0*x + 3\/4*x**3.\nAnswer: 3*x**3*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324.2 rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 3*w**2 - 4*w - 3. Suppose 3*r - 5*n = -5, -r + 0 - 13 = 4*n. What is the tens digit of a(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -722, -1, 13, 5 in decreasing order.\nAnswer: 13, 5, 1, 0, -1, -722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00344 to four dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 + 2. Let q = -10.5 - c. Let w = -226\/369 + 16\/41. Are q and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 - -1.95. Let n = k - 6. Let w = -2 - n. Which is the nearest to 0.1? (a) -0.1 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -1\/4*t**4 - 3*t**3 - 2 - 5*t - 11\/2*t**2. List the prime factors of s(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440093 divided by -274?\nAnswer: -440093\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of t**2 - 80*t - 27.\nAnswer: 2*t - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2 + 2 - 13*i**2 to g*i + x + j*i**2 and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 + -78. Let r(l) = 160*l**2 - 2*l + 3. List the prime factors of r(j).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**2 + 6*q. Let p(g) = g**3 - g**2 - g. Let d be ((-5)\/(-1) - (-3 + 7)) + 5. Give d*p(l) + z(l).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14168 is divided by 625.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = 2*c + 2, 3*c - 16 = -4*i. Suppose -c*q + 3*q = -4*r - 150, -r - 5*q = 27. Let w = 115\/3 + r. Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/20)\/((4\/8)\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10 - 7*q**2 + q**3 + q - 28 + 6 + 9. Let r be d(7). Sort -4, r, -9.\nAnswer: -9, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 13\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**3 - 7*c**2 - 7*c - 1. Let s = 45 - 27. Suppose -71 = -4*u + 3*r, 5*r - s - 13 = -4*u. Calculate the remainder when u is divided by h(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2765*x**2 - x - 46. Let n be a(14). Round n to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4149295.29 minutes to weeks.\nAnswer: 411.6364375","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 29224613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 l when four letters picked without replacement from ddbbbdlbbbbbbblbblbl?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 446023b?\nAnswer: -446023b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -648941249*w + 718300743 with respect to w.\nAnswer: -648941249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.732 - -2.71. Let u = y + 4.022. Which is the second biggest value? (a) 0.04 (b) 2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -242 or 191.3718?\nAnswer: 191.3718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -222*b + 410. Let o(l) = 74*l - 137. Let r(j) = -4*f(j) - 13*o(j). Find the first derivative of r(y) wrt y.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14958968 divided by -4?\nAnswer: -3739742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*c**2*z - 21*b**3*z**3 - 2*b**2*c*z**2 + 120286*b*c**2*z**3 - 3*b*c*z**2 - 1631*c**2*z**2 wrt z.\nAnswer: -126*b**3 + 721716*b*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 2*m + 54 = 0. Suppose m*f = 42 + 30. Solve 0 = -3*r - 2*h - h, 3*r + f = h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8103*i - 3*q - 2298 = -7721*i, -34 = 5*i + 2*q for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -62, -65, -68?\n\"Answer: -3*c - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-872)\/(-2180)*1\/(66\/45).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 6 - 25. Let b = s + 0. Suppose -5*u - b + 124 = 0. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1.7, 8, -5, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 870, 1664, 2440, 3198, 3938, 4660?\n\"Answer: -9*q**2 + 821*q + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/192? (a) -0.4 (b) -3\/7 (c) -1.3458 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78*d**3*o**3 - 3*d**3*o**2 + 2*d**3 + 324444*d**2*o**5 + d**2*o + 802*d**2 - d*o**2 - 44 wrt o.\nAnswer: -468*d**3 + 19466640*d**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**3\/3 - 3*b**2 + 2*b + 6. Determine m(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one quarters of a century?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 279909775 to the power of 1\/2, to the nearest integer?\nAnswer: 16731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62831.\nAnswer: 83, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 46115 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8532.026 millilitres to litres.\nAnswer: 8.532026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -r - 3. Let b(i) = 9*i**3 - 5*i**2 + 11*i + 5. Let q(g) = 4*g**3 - 2*g**2 + 5*g + 2. Suppose -9 = -5*f + 26. Let j = 12 - f. Give j*q(d) + r*b(d).\nAnswer: 2*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1764)*-2 + sqrt(1764))\/(5*sqrt(343)) + 4 + 5)**2.\nAnswer: -432*sqrt(7)\/35 + 14751\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 3:25 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 28*m - 25*m - 36, m + 324 - 3 = 110*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 38*u - 10 + 9.\nAnswer: 38*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*a + 45. Let t(o) = 13*o**3 + o**2 + o - 1. Let q be (1\/(-2))\/(1\/(-2)). What is the remainder when a is divided by t(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1619 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: Calculate the highest common factor of 425 and 255.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - 4. Let v be 2\/(2*(-1)\/k). What is the greatest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - l + 5*l - 7*l**2 + l**3 - 3. Let w(u) = u**3 - 4*u**2 + 3*u - 6. Let s be w(4). What is the least common multiple of g(s) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3*n + 0*n)*(-3*n**2 + 2*n**2 - n**2) + 2*n**3 + 5*n**2 - 5*n**2 + 101626*n**2 + 245*n**3 - 101626*n**2 - 3468*n**3.\nAnswer: -3225*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -407 and -0.01.\nAnswer: -407.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8 - 36 + 38 - 2*c**2 + 77*c**3 wrt c.\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/3 + 32432*j - 4180030\/3 = 0 for j.\nAnswer: 43, 48605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3\/2 + 4011*x**2\/2 + 4461795*x\/2 + 856327225\/2 = 0. Calculate x.\nAnswer: -1885, -241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5366 - 1022 = -381*b - 4800 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 3, v: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y = -6*y - 48. Solve y*v = -0*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 12:18 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/28 and (-52)\/16*(2 + (-284)\/168).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + -3)*(2 + (-2 - -1)). Let b be 37\/26 + (-2)\/4. Let v = b - 134\/117. What is the smallest value in v, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/228931 or 0?\nAnswer: 1\/228931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -0.3 (c) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694142019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**3 - 2*s**2 - 2*s - 4. Suppose 0 = -t - 3*t - 8. Let g = 13 + 58. Calculate the remainder when g is divided by n(t).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(180)\/sqrt(5))\/(sqrt(12) - (-1*sqrt(36))\/sqrt(3)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 4*r - 3. Suppose 5*u - 28 = -2*m, 12 = m + 3*u - u. Suppose 5 + 1 = -3*p, m*q = -5*p - 18. List the prime factors of t(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30.74 - -30.54. What is the nearest to o in 1, 4, -7, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffi when three letters picked without replacement from {f: 10, i: 3, u: 2}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8351642, -16703280, -25054940, -33406634, -41758374?\nAnswer: -50110172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2021537*v - 52 + 52.\nAnswer: -2021537*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.27864 days to minutes.\nAnswer: 141521.2416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20663236 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d. Let v(l) = 93013*l**2 - l. What is c(v(s))?\nAnswer: -186026*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -25234 divided by -1?\nAnswer: 25234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -999947*q*v**3 - 12870*q - 39*v**2 wrt v?\nAnswer: -5999682*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1134 and 30366?\nAnswer: 273294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000246828 rounded to 5 dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/72*-4)\/((-2)\/90). What are the prime factors of u\/((-315)\/(-14))*3858\/(-4)?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1811 + 55652. What are the prime factors of u?\nAnswer: 7, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3908, 3836, 3764, 3692?\nAnswer: 3620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 4\/7 (c) -4 (d) -5 (e) 1141\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 101*i**2 + 202*i + 106. Let z(q) = -102*q**2 - 202*q - 104. Let v(t) = -4*p(t) - 6*z(t). What is w in v(w) = 0?\nAnswer: -50, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1.5. Let b = -48.1335008 + 48.6335. Let r = x + b. Round r to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 i, and 1 p when three letters picked without replacement from {p: 5, h: 4, c: 1, i: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 1936?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 3) in base 9?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/444 and 143\/888.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15c84 - -23b?\nAnswer: 160c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -118*x - 97. Let r(f) = 307*f + 243. Give -13*p(v) - 5*r(v).\nAnswer: -v + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -7, 10, 31, 56, 85?\n\"Answer: 2*a**2 + 7*a - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (9162\/(-84))\/3. Let a = s + 83\/7. What is the common denominator of a and -21\/61?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 4*f + 2. Let u be n(-6). Suppose -58 = -4*b + u. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 2*q - 6 = 0, -24*y + q - 173 = -111*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-2\/5)*x))**(22\/3))**47)**(-1\/8) assuming x is positive.\nAnswer: x**(-517\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 = -3*y + 6, 4*n - 16 = 0. Suppose y*a - c = 4*a + 41, 4*c = -a + 31. What is the tens digit of (-792)\/(-20) + 6\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71701933453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 429\/(-957)*508\/9906?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 854*7827.\nAnswer: 6684258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11130403 (base 6) to base 7\nAnswer: -2606412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.2364? (a) 0.2382 (b) 4\/9 (c) -1\/5 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 242*t**3 + t**2 - 7*t - 44. Let q(h) = 122*h**3 - 4*h - 26. Determine -3*l(v) + 5*q(v).\nAnswer: -116*v**3 - 3*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 6:46 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, 4, -2, -5 in decreasing order.\nAnswer: 125, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Let m(n) = 2*n**g + 2*n**2 + 0*n**2. Let k(q) = 17*q**2. Let z(c) = 6*c**2. Let p(a) = -3*k(a) + 8*z(a). What is m(p(x))?\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3896*q + 8*q**2 + 23*q**3 - 9*q**2 - 3 + 3929*q to y*q**3 + k + h*q**2 + v*q and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 616727, 1233458, 1850189?\n\"Answer: 616731*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*l = -401, -x = -0*x - 2*l - 147. Suppose 0 = -2*n + x + 667. Is n 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 -137359044*j**3 - 130948991*j?\nAnswer: -824154264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -47*l**2 - 2*l - 8. Let v(c) = -16*c**2 - 21*c - 43. Let m(f) = -4*f - 8. Let n(r) = 5*m(r) - v(r). Calculate -8*n(b) - 3*y(b).\nAnswer: 13*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 - (-66 + -127 + 68)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1224\/5 - 244. Is z not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4 - (-4)\/4. Let r(q) = q**2 + 6*q - 1. Let k(t) = t**2 - 11*t + 12. Let i be k(9). Let g be r(i). What is the closest to 0.1 in n, g, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**4 + z**3 + z**2 + z - 1. Let a(j) = 160*j**4 + 75*j**3 - 25*j**2 - 5*j + 5. Let i(x) = -a(x) - 5*h(x). Find k, given that i(k) = 0.\nAnswer: -2\/3, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (171 - 231 - 708 - 3071 - 695)*(-17*i**2 + 19*i**2 + 7*i**2) in the form k*i + b + z*i**2 and give z.\nAnswer: -40806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 933*b**2 + 13*b - 6. Does 37 divide h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 2. Let y(j) = 2*j**2 - 18. Let c(v) = 5*x(v) + y(v). Let o(l) = l - 1. Let a be o(-5). What are the prime factors of c(a)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/10)\/((-7)\/490). Let q = x + -28. Let a(b) = -31 - b + 31 + q*b. Determine a(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42556.43 tonnes to kilograms.\nAnswer: 42556430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-138))\/((-858)\/(-2691))?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 - d - 1. Let k(v) = -v**2 - v - 1. Let l(x) = 2*k(x) - 2*q(x). Let w(b) = b**2 - 2*b**2 - 3*b**2 + 8*b**2. What is w(l(t))?\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -43 + (30 - -91)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 775 and 10169505?\nAnswer: 1576273275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 10*c**3\/9 + 92456*c**2\/9 + 71228102*c\/3 - 9498724 = 0?\nAnswer: -4623, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4, -20381 = -o + 4*f + 196264. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/6 + 11*f**4\/3 + 47*f**3\/6 + 4*f**2 = 0. Calculate f.\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -282, -425, -568?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(343)))**2.\nAnswer: 126*sqrt(7) + 3096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + 1 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 644 and 29670368.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 81.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 748 = 4*a + 788, -3*q + 5*a = -40. Let h = -13 + 13. Solve 2*d - d + q = h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {g: 7, v: 7, s: 2}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1488, 2978, 4468, 5958, 7448?\nAnswer: 8938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2922 + 332 = 0. Round t to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.004 - 5.004. Which is the biggest value? (a) 7 (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1610 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/1)\/((-2)\/5 + (-14473)\/(-5295))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48671775563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by 12257\nAnswer: -3\/721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*g + 2 = -0*g, -4*g + 3 = 3*c. Let h(u) = -10*u - 1. Determine h(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 3:01 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378176433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 373868 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -98.\nAnswer: -5\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12300 + 44413. Is m a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1246445782?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -3)\/(-1) + -25 + 1449023. Suppose 0 = -10*u + u + f. What is u rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -1) + 11 + -6 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345187901*n**3 + 7*n**2 - 345187902*n**3 - 7*n**2.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 5*h**2 - 1. Let w be t(3). What is the units digit of (-12 + 14)*w\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*p = -68*p. Solve p = -g - 3*r + 2*r + 3, 4*g = 2*r - 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27\/2 + (-30)\/20. Let s be (56\/w - 4)*3. What is the derivative of -402*i**2 - 11 + 11*i**4 + 402*i**s wrt i?\nAnswer: 44*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/4 + 1*6. Solve 5*d = 2*a - 5, -x*d + a + 2*a = 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:27 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2962 - -12902. Let v be ((-2)\/b)\/((-6)\/18). Let w = 360307\/29820 + v. Calculate the common denominator of w and 83\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**5\/15 + s**4\/12 - s**3\/2 - 2*s**2. Suppose -3*j - 10*j = 39. Is h(j) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 52 = 3*t - 17, t + 3*i - 27 = 0. Calculate the highest common factor of 42 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 4*y + 3. Let h = -36 + 38. Calculate i(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -313 + -400815?\nAnswer: -401128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 32 = 2*g. Let a = g - 4. Let i be (-6)\/9*(-6)\/a. Let s(t) = 13*t**3 + t**2. Calculate s(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7744457 and 532?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/b**(16\/7))*b)**(-2\/31)*((b**(-23)*b)\/b*b)\/b**(13\/2) assuming b is positive.\nAnswer: b**(-12489\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1510 + s**2 + 82 + 0*s**2 - 231 - 3*s**2 in the form y*s + t*s**2 + c and give c.\nAnswer: 1361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -204592 divided by -5384\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*((-21)\/(-6) + -4). Let y(b) = b. Let l(p) = 5*p - 6. Let t(w) = n*l(w) + 6*y(w). Give t(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**6\/360 + p**5\/120 + p**4\/8 + 4*p**2. Let f(o) be the second derivative of m(o). What are the prime factors of f(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/11 (b) -5 (c) 11\/179253 (d) -0.1 (e) -3 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**3 - 90014*v**2 + 90014*v**2.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 10:49 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16c4c (base 14) to base 12.\nAnswer: -291b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiy when three letters picked without replacement from {i: 5, y: 8}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 566*d**3 + 4*d**2 - 12*d wrt d?\nAnswer: 3396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 32 + 41*n**3 - 20.\nAnswer: 41*n**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.3 - -12.299999956. What is c rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijj. What is prob of sequence jj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4823 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 1 + 2 - (sqrt(343)*-2 + sqrt(343)).\nAnswer: 3 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/31, 3, 1370, -1, 51, 4?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c**2 + 8*c + 13. Calculate x(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 45 = -20*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1863 = -6*q - y, 1863 = 3*q - 4*y. Let o = 1912 - q. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkgkvvkgkgkzivkgk. What is prob of sequence gvi?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -566?\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 0*b**2 - 12\/5*b**5 + 0*b**4 + 29\/3*b**3 + 0*b + 21. What is the third derivative of f(g) wrt g?\nAnswer: -288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -9 - 60) + 38?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 5*f**2 + f + 5. Calculate w(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What is the thousands digit of 13884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0071082307 to five dps.\nAnswer: 0.00711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -35*s - 27 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.075 (b) 0.2 (c) 0.1 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -520 - 3.\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4\/6 + 128*z**3\/3 - 127*z**2 + 380*z\/3 - 253\/6 = 0 for z.\nAnswer: 1, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (0 - 6)) + -85 + (-7 - (-3 - 12))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 667416, 1334860, 2002304, 2669748, 3337192, 4004636?\n\"Answer: 667444*h - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-1 - (-9 - 0)) + -40 + 24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + -13?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 - (4 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1424 and 2704?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 557449 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.55 (b) 4 (c) 77 (d) 3\/4 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 36 and 116.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 86*q - 116*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18106345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-48))\/(6\/(-16)). Let v = -148.2 - -134. Let m = 14 + v. Which is the biggest value? (a) k (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*p - 11 + 3 = 0, -16 = -4*u + 4*p. Let k(i) = -7*i**2 - 5*i - 2. Let n(l) = 6*l**2 + 4*l + 2. Let g(y) = u*n(y) + 5*k(y). Does 9 divide g(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/2 + 24458*k = 0.\nAnswer: 0, 48916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-264)*3\/5\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2 + 7*x + 1. Let c(q) = q**2 - q - 1. What is -5*c(j) - w(j)?\nAnswer: -2*j**2 - 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -7. What is the remainder when 44 is divided by 162\/12 - r\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 23854823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.12634361 greater than or equal to 0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 4634597.\nAnswer: -4, 0, 4634597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/34 - (-332984)\/13226?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 4*j**2 + 9*j + 15. Let y(i) = i**3 - 11*i**2 + 9*i + 5. Let n be y(10). Let m be x(n). Is m >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h - 10 = 12*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -9. Let d(h) = 4 + 5*h - h**2 - 1 - 2. Let s be d(6). Which is the nearest to -1? (a) r (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 8 = -m + 47, 0 = -2*m - 5*f + 69. Suppose 0 = -t - 2, u + 4*t = -3*u. Let c be (m\/(-9) + u)*-6. Calculate the highest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) + 187\/44. Suppose 0 = -v*o + 7*o - 546. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 725 + 2705 = 0. Let z = 151 - a. Is 34 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 1\/2*p**4 - p**3 + 0*p + 26*p**2 + 0 + 1\/60*p**5. What is the hundreds digit of d(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**3 - 5958*t**2 + 1863748*t - 1857792 = 0.\nAnswer: 1, 354, 2624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132.1 - 132. Which is the nearest to -19\/3? (a) r (b) -4 (c) -2\/3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6090 + 6726. Calculate the highest common divisor of l and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2. Let a(k) = -19*k**2 - 4. Let d(j) = 1. Let n(h) = a(h) + 4*d(h). Give u(n(v)).\nAnswer: -361*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246250773 is divided by 1931?\nAnswer: 1929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 663 + 20142?\nAnswer: 21135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-621)\/(-36) + (-1)\/4. Let n(c) = 4*c**2 - 1. Calculate the remainder when n(2) is divided by 9\/(-36) - w\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000107413 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.206, -0.1, -1.46, -1\/5, 0.5 in decreasing order.\nAnswer: 0.5, -0.1, -1\/5, -1.46, -2.206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 14689890*c**2 + 26974189320726*c + 296714305053958.\nAnswer: 2*(c + 11)*(c + 3672467)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156089?\nAnswer: 156089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/24 and -71\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f - 5*f + 37*f - 16*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1086*t**3 + 235*t**2 wrt t.\nAnswer: 6516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**3 + 2*b**2 - b + 4. What is p(2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 741883750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4096277, -16385093, -36866451, -65540351?\n\"Answer: -4096271*d**2 - 3*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5202412 (base 7) to base 2.\nAnswer: -10011000000010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -848 - 0.5?\nAnswer: -848.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378455197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15 - (4 + -4)\/(-3). Let x be (-10)\/t + (-466)\/6. Let g be 20*(x + ((-12)\/(-3))\/4). What is g rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**3 + f**2 - 2*f + 1. Let q(y) be the second derivative of -y**5\/20 - y**4\/12 - y**3\/6 + y**2\/2 + 4*y. Let x(g) = -2*i(g) + 4*q(g). Factor x(d).\nAnswer: 2*(d - 1)**2*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/16 and 7\/766.\nAnswer: 6128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 45 = 43 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-25)\/(-3))*-70*(-32)\/(-448).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z - 5. Suppose -10*m + 4 = -14*m. Let w be n(m). Suppose 2*u = 2*b + 102, w*u + 4*b = 71 + 43. What are the prime factors of u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**6\/120 - t**4\/6 + 7*t. Let z(j) be the third derivative of v(j). Let w(s) = 2*s**2. Calculate z(w(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 1\/3*h**3 + 539*h**2 + 290521*h + 156590819\/3 = 0.\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 36*v - 4978. What is s(131)?\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**2\/3 - 379*s\/3 + 126 = 0.\nAnswer: 1, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -0*p + 3*p. Let f(n) be the second derivative of -n**3 + n. Let l be f(-3). What is the highest common factor of p and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -160 - -159.999817. Round h to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.455 - -0.055. Let f = 3.4 + p. What is the second smallest value in -5, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 greater than or equal to 0.29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7696156 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 16 = 14. Let i = -8 + s. Suppose -i*k + k = -24. What is the greatest common divisor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398055501.\nAnswer: 3, 3061, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0)\/((-59)\/59)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-42) + (-520)\/(-168). Suppose q*t - 4347 = -3*s, -10*s + 7*s + 4327 = -2*t. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a - 4. Let v be i(4). Differentiate -4 + 7 - 5 + v*g with respect to g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 7*r. Is -1\/10 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -0.4 (c) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32960 and 2?\nAnswer: 32960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16\/7*l + 2\/7*l**2 - 18\/7 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyhvryorhhyjjo. What is prob of sequence oj?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9711556992 - 1.931\nAnswer: -9711556993.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3042104 or 3042099?\nAnswer: 3042104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 183081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.0979 rounded to zero dps?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 3\/7 (c) -4 (d) -732\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b - 1. Let l be d(1). Let r = 34 - 100\/3. Let g be 4\/364 + 2\/(-13). What is the nearest to r in l, g, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 0 + 0*p**5 + 43\/6*p**3 + 77*p**2 + 0*p + 0*p**6 + 13\/210*p**7 + 0*p**4. What is the first derivative of g(n) wrt n?\nAnswer: 52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i + 37 - 20 - 15*i + 27*i. Let d be r(0). Put -7, d, 5 in decreasing order.\nAnswer: d, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxsssxsxyxxssx. What is prob of picking 1 s and 1 y?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-872)\/(-72) - 13)*(-3)\/2. Is 144 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Let w be ((-62)\/2 - -2) + 3. Let x = w + 46. What is the lowest common multiple of f and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*s - 577 = -208*s - 207 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -53612, -53589, -53566, -53543, -53520, -53497?\n\"Answer: 23*b - 53635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 times -6848.2\nAnswer: -19174.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 334433764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*n**2 - 142 - 92*n - 83*n**2 + 70*n to the form w*n + f + i*n**2 and give f.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*(-120)\/(-168)*-7*50\/2\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 - (7 - (2 + -4 + 9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from ejeiirjeoj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -10002*c**4 + 4*c**3 - 4*c**2 - 4*c - 7954. Let s(j) = j**3 - j**2 - j - 7. Let l(n) = d(n) - 4*s(n). What is the first derivative of l(a) wrt a?\nAnswer: -40008*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21780)\/88)\/(-45)*1\/11.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6620918 is divided by 462.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 + y. Let l be (-1)\/2 - (-10)\/(-4). Let s be x(l). Suppose -2*d - t + 7 = 0, -3*t - 2*t = -d - s. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**2\/4 - 29815*l\/2 + 29810 = 0.\nAnswer: 2, 11924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. What is the first derivative of -t**4 + v*t**4 + 2*t**4 + 2 wrt t?\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.063 - 0.06186. What is d rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -102\/25 (b) -0.8 (c) 35\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54268\/13 - -4138. Let j = t - -4625\/78. What is the common denominator of j and 59\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -11*o**3 + 3*o**2 - 155*o - 10. Let x(k) = 13*k**3 - 4*k**2 + 155*k + 12. Give -6*m(r) - 5*x(r).\nAnswer: r**3 + 2*r**2 + 155*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdccccd. What is prob of picking 2 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 52926 and -164.6.\nAnswer: 52761.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -1.4299.\nAnswer: -7.1495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001701 rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85f (base 16) to base 10.\nAnswer: -2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1229161 and 12561.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 132157354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/90 and 7\/1314?\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*o + 49 = -800 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4639967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 283 (c) -0.1 (d) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 285\/(-171))*3.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1638 is divided by 1133.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 959589.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63271 divided by 267.\nAnswer: 63271\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 67259 + 0?\nAnswer: 67259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -9542.19 to the nearest ten.\nAnswer: -9540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -28*c**2 - 4*c + 6. Let q(d) = -48*d - 2. Let h(k) = -193*k - 7. Let u(y) = h(y) - 4*q(y). Determine o(m) - 4*u(m).\nAnswer: -28*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -6\/7 = -4220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -53, 2, 1, -27 in ascending order.\nAnswer: -53, -27, 1, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60190475321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.613, 12\/2045, 21 in decreasing order.\nAnswer: 21, 12\/2045, -0.613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w - 23. Let h be t(-13). What is the greatest common factor of h and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212092571.\nAnswer: 212092571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, 5, -27, -97, -217, -399?\n\"Answer: -2*p**3 - p**2 + 11*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a = 35*a + 5*f + 45, -a + f + 10 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30\/7 + 32\/7. Let x = 1.6 + -2. Which is the closest to 1? (a) x (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -2633*v**6\/10 - 1633*v**4\/2 + 2174*v - 1. Find the third derivative of b(p) wrt p.\nAnswer: -189576*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 2 + 0 + -1 + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.472646 + 0.3397?\nAnswer: 31.812346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - 1) + (36 - 20) + (14 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + ((-5 - (-4 - -21)) + 14 - -74)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 14*m - 10. Let j be n(1). Suppose -5*g = t - 0*g + 15, 0 = 5*t + j*g - 30. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120 - -52. Let x = u - -68.4. Let d = 0.14 + -0.34. Which is the closest to d? (a) 11 (b) x (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526 = 4*p + 4*t + 2702, 5*t = 4*p + 2221. Is (5\/3)\/((-3)\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -108459, -108537, -108613, -108687, -108759, -108829?\n\"Answer: z**2 - 81*z - 108379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 961006243 + -961006239.00000003. Let c = -4 + v. Round c to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -63. Suppose t*v = -5*c + 10, 7*c = v + 12*c + 10. What is the smallest common multiple of v and 2\/(-6) - (-31)\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1039 and 6?\nAnswer: 6234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 1 (c) 22 (d) -31\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.19 + -13.19. What is the smallest value in h, 2\/9, -1\/55?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*h + 0 + 1)*((-95 - 90 - 37)*(0 + 0 + 2*h) + 2*h + h - 4*h).\nAnswer: -1335*h**2 - 890*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 300112?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1077*w = 6*f + 4296, -3*f + 235 = w + 225 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.43 - -2.87. Let m = v + 0.7. Which is the fourth biggest value? (a) 0 (b) 1 (c) -3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 800 = -11*f. Let u be (-5550)\/((66\/f)\/11). Round u to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57155572*h**5 + 286*h**2 - 2958*h.\nAnswer: 3429334320*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + (-14 - -14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2470, -2420, -2370, -2320, -2270?\nAnswer: -2220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -384*f**2 - 16130*f - 87. Let j be x(-42). Let s(r) = 2*r + 4. Let i(a) = -1 + 3*a + 4 - a. What is j*s(c) + 4*i(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(18\/16) + ((-410)\/(-20) - 12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*k = 2 + 6, -5*k + 9 = 2*t. Let i = t + 0. Suppose 0*d = -5*d - i*v + 39, 5*d - 43 = -4*v. What is the remainder when d is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-439*t**2 + 233*t**2 + 11*t**2 - 2*t**3 + 4)*(4*t + 0*t - 2*t) in the form y + w*t**3 + b*t**2 + l*t + k*t**4 and give w.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6369 - -0.026\nAnswer: -6368.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:29 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {e: 4, v: 1, d: 6}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-970)\/(-102) + 100 + 64714\/(-646)?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1383 and 1811610.\nAnswer: 835152210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/25 - 2\/25. What is the third biggest value in r, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16324474?\nAnswer: 2, 37, 59, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -6*u**2 + 3*u**3 - 1\/4*u**4 - 7 + 15*u. Let t be m(6). What is the greatest common divisor of 68 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 1848.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 35 = -6*w. Let j = w - 7. Which is the third smallest value? (a) 5 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692436 is divided by 228.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*z**2 - 4 + (0*z + 5*z - 4*z)*(5 + 4*z - 5) + (-4 - 2*z + 4)*(9*z - 162 + 162).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 6*s**2 + 4. Let d be z(6). Suppose 0 = -a + d*v - 5, -v - 10 = -4*a - 0*v. Suppose -q + 2*k - k = -112, 0 = k - a. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/161 and 34\/2277?\nAnswer: 15939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*s + p, 0 = -4*s + 5*s - 3*p - 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -14*h + 552. What is the units digit of s(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2128*t**2 + 96*t + 19. Is q(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 8*b**5\/15 - 53*b**4\/12 + 55*b**3\/6 - 33*b**2 - 5. Is l(-32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fif when three letters picked without replacement from fyfffirryfyfifrffryf.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -53.6\nAnswer: -48.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*l - 63, -2*q + q + 2*l = -33. Let f = 64 - 36. Let u = q - f. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + m**2 - m - 4. Calculate h(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (1 - 6) - (-1 + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36\/432*36*4\/(-34)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108028, -216051, -324072, -432091?\nAnswer: -540108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/(-216))\/((-3)\/6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1 + -2 - -3)\/((-68)\/(-8)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)\/j*(j*j**(-1\/13))\/j)\/(j*(j\/(j\/j**18*j))\/j*(j*j**(5\/8))\/j) assuming j is positive.\nAnswer: j**(-2673\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -948 + 950. Let a(l) be the second derivative of -l**4\/12 - 2*l**3\/3 + 5*l**2\/2 - l. Let u be a(-5). Solve u = k + g - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77912497 to the power of 1\/2, to the nearest integer?\nAnswer: 8827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.335 + -311.665. Let g = 311.946 + s. Round g to three dps.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187957 is divided by 123?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(325) - (sqrt(325)*1 + -4 - sqrt(325)))**2 + sqrt(325)).\nAnswer: -1364 - 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14421855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4*sqrt(77) - sqrt(77)))\/(sqrt(7) - sqrt(112)\/sqrt(4)).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 13363444?\nAnswer: 13363442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1112010011211 (base 3) to base 13\nAnswer: -2244b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + 108*c**2 + 31*c - 109. List the prime factors of p(51).\nAnswer: 2, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1618 = -1683. Suppose 0 = 2*k - 7*k + 10, -k = -b + 1. What is the remainder when z is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171143609 + 105296393 + 935299137 = 351*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95468815 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*w = 68*w. Let r = 1 - -1. Let l = 7 - r. Solve -4*s = -a - 13, 3*s = l*a - w*s + 31 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97967983.\nAnswer: 41, 2389463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*499149\/15846.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-176))\/(((-11)\/660*-12)\/((-4)\/10))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -7*h**2 + 13\/12*h**4 - 5\/12*h**5 + 0*h**3 + 0 + 0*h. Find the second derivative of z(j) wrt j.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75727234\/(-984126) + (-1)\/(39\/2)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 - t. Suppose -2*z = -0 - 4. Let f(n) = 5*n**2 + 4*n - z*n - n. Suppose 0 = -5*q - 4*s - 13, 0*q - 5*q = s + 22. Give q*f(r) - 6*a(r).\nAnswer: -r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (104*f - 13*f**2 - 104*f)*(-2*f + 5*f - f) in the form x + c*f + p*f**3 + h*f**2 and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/6)\/((-2)\/(-12)). Let x be (-1333)\/(-43) - (5 + 19). Solve -x*u + f*u = -10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89266.2 litres to millilitres.\nAnswer: 89266200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 10 = -9*p. Suppose -3*g = -p*h + 4*h - 8, -3*g = h - 16. Solve 0 = -h*q - 2*b + 22, -6*b = -3*b - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 24, 39, 60, 87, 120?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1200 - 1871. Let m = c + 996. Does 25 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, 65, 509, 1369, 2783, 4889, 7825?\nAnswer: 11729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2\/18)\/(396\/(-46332))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3151.548 millennia to months.\nAnswer: 37818576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*b**3 - 2 + b**3 + 7*b**3 - 4*b**4 to w*b**4 + u*b + g + v*b**2 + z*b**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8088*v**3 - 4046*v**3 + 14*v**4 - 4042*v**3 + 20*v**2 - 181*v wrt v.\nAnswer: 168*v**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -39. Let b(u) = 129*u**q + 5*u + 1 - 5 - 430*u**2. Let y be b(4). What is y rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + f + 1. Let x(y) = 2*y**4 - 5*y**3 - 55*y**2 + 5*y + 13. Let h(v) = 5*j(v) - x(v). Differentiate h(b) with respect to b.\nAnswer: -8*b**3 + 110*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4432 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 43 - (28 + -48 - -47)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -469 + 473. Suppose 184 = 2*d - l*s, 12*d - 3*s - 88 = 11*d. Calculate the remainder when d is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -37, 6, 45, 80, 111?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.1 + 25. Let c = r + 0.1. Let x = -49 - -51. Is x equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 650.6544 litres?\nAnswer: 650654.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70760.\nAnswer: 2, 5, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*t**3 - 365*t - 7345 wrt t?\nAnswer: 12*t**2 - 365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 860 divide 98348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/2 - 833*k - 693889\/2 = 0.\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -8*u - 31360. Suppose 46*n - u = 32*n. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -4, 12, -1 in increasing order.\nAnswer: -5, -4, -1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -422*c**2 - 16*c**4 + 19*c**4 - 32*c**3 + 31*c**3 in the form b*c**3 + l*c**4 + a*c + y + m*c**2 and give m.\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.7 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 12:53 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j + 99 = 232 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -31. Let a be ((-4)\/m)\/(7\/((-105)\/(-10))). Let t = 6 - a. Solve -q = w + 2*w + 5, 0 = q - 4*w + t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-6)\/(-37008)). Let y(m) = -r + 3084 + m**2. Let j(i) be the third derivative of i**4\/24 + 2*i**2. What is y(j(d))?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*k + 25 = -3*z, -2*k = 4*z + 10. Let l(q) = 3*q**2 - 7 + 4*q**3 - 9*q**2 - 5*q**3 - 7*q. Calculate l(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938641 is divided by 2980?\nAnswer: 2921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*a - 40, -4*p + 3*a = -2*a + 13. Suppose -p*u = -3*o + 3, -5*o + 2*u = -2*u - 7. Sort -1, -2, -3, o.\nAnswer: -3, -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r - 2. Let p(b) = -14*b + 5. Let m(h) = 5*n(h) + 2*p(h). Suppose 0 = -3*i + 5*z - 15 - 7, 16 = -4*i + 4*z. What is m(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 0)*(-g + 2*g - 2*g) - g + 4*g - 4*g - 2*g + 2*g - 2*g + 2 + g - 2)*(47 - 54 - 91)*(-5*g - g + 5*g).\nAnswer: -294*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*v - 34*v - 33*v to m + o*v and give o.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwqa when four letters picked without replacement from zzzawqwzwqjh?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2*-4)\/(64\/112)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67 and 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60681 is divided by 8665.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2. Let o(g) = -710100*g. Calculate j(o(z)).\nAnswer: 1008484020000*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b4 + 11287a?\nAnswer: 112796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83493 + -83438.037. Let g = 55 - c. What is g rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 a, and 1 j when three letters picked without replacement from {v: 1, q: 4, j: 2, a: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12923 + -4934. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/2*(-6)\/(-6)*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 127 = -3*y. Let f = y + -10. Suppose -f = -2*o + 41. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(450)\/sqrt(5))\/(-3*sqrt(320)) + (5*(2*sqrt(2) - sqrt(2) - sqrt(2)) + -5)**2 + ((sqrt(98) + 1)**2 - -2*sqrt(32))).\nAnswer: -248 - 175*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -430*z**3 - 105*z**3 - 57*z**3 - 310*z**3 + (-6*z**3 + z**3 + 3*z**3)*(-1 + 1 + 1) + 3 - 3 + 20*z**3 in the form s*z**3 + b + y*z + l*z**2 and give s.\nAnswer: -884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 743, 4, -1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**4 - 613490*w**3\/3 + 7840478866*w**2\/3 + 4791920686*w + 2178223230 = 0.\nAnswer: -1, -5\/6, 25563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((176\/(-16))\/(-88))\/((-1)\/(-56))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 1 = -5*y - 0*y, 5*y + 11 = -h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(475) + -4 + -3 + 1)**2.\nAnswer: -50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008543052281 to seven dps.\nAnswer: 0.0000854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -37ac?\nAnswer: -37ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 5*o + 2. Let b be j(-4). Let v(r) = r**3 - 2*r**2 + r + 2. Let w be v(b). Let u be (-12)\/15*(-4)\/w. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 11. Let n be ((-20)\/(-3))\/(r\/(-15)). Let h = 72 - n. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 26 = -8. Let c be 0\/(l\/(-2)) + 49. Suppose c = -4*j + 197. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 4 + 6 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 25261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-4) - 4)*-14. Suppose 4*k - 992 = 3*u, -3*k - 104 = -3*u - 851. What is the highest common divisor of s and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35232995 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5*-799.9\nAnswer: -3999.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, -1, 30, 14 in increasing order.\nAnswer: -1, 14, 30, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2262855047.\nAnswer: 5669, 399163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -2, 4 in decreasing order.\nAnswer: 4, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 988, -2, 0.27, -8?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 9 (c) -118 (d) -1 (e) -2 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -2, -5 in decreasing order.\nAnswer: 4, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2005 - 1984. Solve a = -2*c + 5*l, 4*c - 18 = -l - l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/43120 and 107\/308.\nAnswer: 43120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - h**4 + 4*h**2)*(-h + 0*h - 2*h)*(-1 + 5 - 3).\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.75572 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1385, 1357, 1309, 1241?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4 (b) -2\/5 (c) 2\/15 (d) -144 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4964044 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 61 = -1. Let j be (2156*8\/80)\/2 + (-4)\/(-20). What is the greatest common divisor of j and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -4 - 6*l**2 - 5*l - 1\/4*l**4 - 5\/2*l**3. Solve r(g) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1892584288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(-31))*n)\/n)\/n**(1\/30))**(-41) assuming n is positive.\nAnswer: n**(38171\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004002121 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 53. Let t be s\/((-4)\/(-72)*2). Let j = -22 - t. Solve -4*x + 5*x = -j*k + 9, -k - 4*x - 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 117?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 226 + 3*g + 84 + 86 - 15*g**2 + 63.\nAnswer: -15*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = -5*j - 5*n, 1 = 38*n - 37*n. What is the greatest common divisor of 9167 and j?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 256 = -2*k. What is the highest common divisor of 272 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -28.43, -8\/41, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -48704*c + 97505. Determine q(2).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.027, 1, 4, 0.06?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 + 5*k**2 + 3*k + 7. Let m(c) = -2*c**3 + 3*c**2 + 2*c + 4. Let u(r) = -5*r. Let i be u(-1). Give i*m(s) - 3*o(s).\nAnswer: -s**3 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -32, -64, -106, -158?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 374.156 to zero decimal places.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 99008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.48296306 rounded to zero decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + (5 + (((sqrt(288) - (sqrt(288) + 0)) + sqrt(288))**2*6 - sqrt(288)) + (sqrt(288) + 1)**2*-1 + 1)*2.\nAnswer: -72*sqrt(2) + 2892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -554 by -277.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 164776091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11985189994 - 4846.\nAnswer: -11985194840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*k + 11, 0 - 6 = -2*p + k. Solve -h + 6 = p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(34 - (-7362)\/(-216))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(1421\/(-42)))\/(4\/30*168\/49)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1090*h + 1299 - 1299.\nAnswer: -1090*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1784300162.\nAnswer: 2, 79, 11293039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -31?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1522000 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-264)\/99*(-27)\/48?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -3. Suppose 5*y - 401 = -2*c - c, 3*c = -o*y + 322. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1332 divided by -6\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -2, -3\/7, -64, -2\/451 in decreasing order.\nAnswer: 2\/7, -2\/451, -3\/7, -2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 162*j**3 + 2688*j**2 - 15968365*j.\nAnswer: 972*j + 5376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 561, -0.14, -2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45519\/7970 + 9\/797. Let s = 105 - 107. Calculate the common denominator of 47\/8*s*(-5)\/(-20) and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - 6. Let r = 10 + u. Let g = 4.3 + r. What is g rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 379819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 4*r**2 + 4. Let n be d(4). Let y = 1 + -18. Let o = -12 - y. Sort n, -2, o in ascending order.\nAnswer: -2, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31913 and 39770.\nAnswer: 13084330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 4. Let k be i(-8). Let s(d) be the third derivative of d**6\/120 + d**5\/10 + d**4\/6 - 2*d**3\/3 + 4*d**2. Let l be s(k). Solve -h + l = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (190\/3)\/(30\/9 + -3). Suppose -5*z - h = -1704, 2*z + 243 = 2*h + 939. Calculate the greatest common factor of x and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5763 - 103589\/18. Let v be (-4)\/(-14) + 11666\/(-14). Calculate the common denominator of (-14)\/77 - v\/286 and s.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**2 - 723*d*r**3 + 2*d*r - 104*r**3 - 7*r**2 wrt d.\nAnswer: 2*d - 723*r**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18769959 + 18769959 - 19*t**2.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and ((-17)\/3 + (-21)\/(-7))*-3?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 200220212120?\nAnswer: -200220212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39711071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5) - 85\/(-25). Suppose -v*d + 10 = -2*d. Solve -2*f + 4*f + d = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**5 - 12*h**4 - 60*h**3 - 30*h**2 + 57*h + 42 = 0.\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31858445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/sqrt(2) + sqrt(3) - (sqrt(3) - (sqrt(3)*-3 + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 18. Suppose -3*o + 2*r + 39 = 0, -o + 20 = -0*o - 3*r. What is the remainder when o is divided by d + -3 - (-10 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-212)\/(-318)*2592\/(-72).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q - 45. Let m = q - -28. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31124*j**4 - 3*j**3 - 3623*j**2 - j + 1?\nAnswer: 746976*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/10*(-16)\/(-6). Suppose 0*b - z*b = 0. Suppose b = 4*f - 38 + 10. Solve -f*k + 2*k = -5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 3. What is f(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 11:05 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r - 31. Let x be m(-18). Let u = -95 + x. Let v(j) = j**3 + j**2 + 2*j**2 + 3*j + u*j**2 - 9*j**2 + 1. Determine v(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 138*p**2 - 5*p + 5. Let c be (1260\/24)\/(-21)*2\/1. Let s(j) = 7315*j**2 - 266*j + 266. Let g(q) = c*s(q) + 266*a(q). Let n(w) = -w. What is n(g(r))?\nAnswer: -133*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/(-36) - (-62)\/8. Suppose 12*h = 5*h + p. Does 19 divide -2 - h - (-44 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13805 is divided by 321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4\/((-64)\/8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4270 = 12*y. Let o(r) = -y*r + 323*r - r**2 - 3 - 20. List the prime factors of o(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b**3 - 47*b**2 - 7*b. Let v(x) = -x**3 - 2*x**2 + 3*x. Calculate o(c) + 2*v(c).\nAnswer: 7*c**3 - 51*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23429208 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 3:55 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 45 + -27 + 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(130)\/((sqrt(40)\/sqrt(4) - sqrt(10)) + sqrt(10)) - (sqrt(1573) + -1)))**2.\nAnswer: 40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 9*u - 15 + 1 + 2*u - 1 + (2*u - 4*u + 3*u)*(-1 + 1 + 1))*(-27*u - 9*u**3 + 27*u)*(-u + 3*u - u)*(1 - 2 + 3).\nAnswer: -216*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 - 2335*g - 27732. Give p(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 10*q**2 - 14. Calculate v(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 597 - 100. Calculate the greatest common divisor of 71 and w.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0 (b) 1\/3 (c) -5.15 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-5) - (-9)\/30. Is t > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 10*y**2 + 13*y - 17. Let r be x(11). Suppose 0 = -r*o + 179 + 31. Let h = -4 + o. What is h rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (7 + -5)) + 3 + 1 + -74?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 10*r - 8 - 16 + 45 + 3*r**2 - 12 to w*r**2 + b*r + a and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/71, 3, -5\/68, -14 in descending order.\nAnswer: 3, -2\/71, -5\/68, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150602 + 2*f + 4*f - 3*f + 0*f - 150528 - 2*f.\nAnswer: f + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3)*s*s)\/s**(-1\/13))**(-13\/6)\/((s**(-1\/3))**(-2\/19))**35 assuming s is positive.\nAnswer: s**(-856\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*g + 2775 = -304*g for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2 (b) 1\/4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14728174*j*y + 1738*j - 6799 wrt y?\nAnswer: -14728174*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from {u: 13, j: 2, w: 1, y: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = a + w, 2*a - 21 = -0*w - 5*w. Solve a*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w - 1. Calculate f(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/8)\/(82\/(-42) - 20\/(-70))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.046748 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2682 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1146380 by -114638.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 456150.2 rounded to the nearest 100?\nAnswer: 456200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -6 - 9 - 3 - (78 + -8 - 11)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + -5)*26\/4. Suppose -19 = -a + m. Let h be 1596 - (4 - a\/4). What is h rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 34. Let v(c) = c**3 + 3*c**2 + 3*c. Let j be v(-3). Let f = z + j. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1628387.0057 - 1628498. Let j = -111 - v. What is j rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 0 + 0*b - 1\/3*b**3 + 2*b**2 - 1\/6*b**4 - 1\/30*b**5. Factor y(t).\nAnswer: -2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19325, 38800, 58261, 77708, 97141?\n\"Answer: -7*j**2 + 19496*j - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 1063*h + 24765. Does 13 divide n(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4514 - 13102404?\nAnswer: -13053450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b**2 + 5*b**2 - 7*b**2.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.57 plus -2725?\nAnswer: -2729.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 5:26 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -89. Let p(s) = 55*s**2 + 2*s + 2. Calculate the remainder when p(-1) is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65514 and 1830?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 56. Let g be b(29). Let x be (10\/10)\/(g\/6). Solve x*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2164 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19750 + 78975. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1\/86, -4\/7, -1, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -26*n**3 + 7*n**2 + 65*n + 41. Let v(x) = 6*x**3 - 2*x**2 - 16*x - 10. Let u(z) = 4*d(z) + 18*v(z). Factor u(t).\nAnswer: 4*(t - 4)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162325 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -5*g + 39, 4*g - 1 = -5*t + 26 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 12112?\nAnswer: -12121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141 + -349. Let r = 0.06674 - 208.89674. Let l = w - r. What is l rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 6*t**2 - 3*t + 16. What is k(-6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 11:39 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**4\/8 + 17*s**3\/6 - 687*s**2. Calculate g(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-188)\/470*(-2)\/(-44).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/18411876 and 133\/6?\nAnswer: 18411876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1133991*j**4 + 42*j**3 - 104*j**2 - 236189 wrt j.\nAnswer: 27215784*j + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7766660 and 302247?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (3 + 9 - 21) - (-31 + 43)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53532*b**2 - 2084*b + 13*b**3 - 329*b - 52946*b**2 - 5*b**3 wrt b?\nAnswer: 48*b + 1172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.0278 days in microseconds?\nAnswer: 7864801920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121 - 967\/8. Let s = -5.9 - 0.5. Let n = s - -6. What is the biggest value in w, n, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 482870.96323 and 29.\nAnswer: 482899.96323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0957 + 0.1481. Let o = q + -0.1524. Let l(w) = w - 2. Let r be l(3). Put 3\/5, o, r in descending order.\nAnswer: r, 3\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6672440 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: Let h be (4\/(-6))\/((-7)\/(-42)). Let k(j) = 0 + 2 + 2 + j. Let t be k(h). Solve t*i = i - 3*g + 11, -20 = 2*i - 5*g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -278 - -277.9. Let y = 1\/49 + -29\/49. What is the nearest to r in -0.12, 2, y?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39030, 156136, 351310, 624552?\nAnswer: 975862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/102)\/(16\/24)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4*c - 9. Suppose -p - 1 = p - c*y, 3*y = -3*p - 9. Is 12 a factor of 29 + 2 + p\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(245)*3 + 1*sqrt(245)*-3.\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1866, 2084, 12802, 33672, 68078?\n\"Answer: 564*m**3 + 2*m - 2432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 14 = -2*o + 98, 3*n - 124 = o. Let r = 43 - n. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 + 1914*u\/5 + 1912\/5.\nAnswer: 2*(u + 1)*(u + 956)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/(-28))\/(1\/(-68)). Suppose k - 3*t + t - 9 = 0, -a = -k + 4*t. Calculate the remainder when 1\/((-120)\/(-56) + -2) is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = f, 2*u - 5 = f. Let x(s) = 34*s - 6*s + 8 - 9. List the prime factors of x(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4109\/50 - 462\/25. Which is bigger: 63 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123 + 168. Is n + 6\/(-3 + 1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*7*12\/(-4620)*10.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11474?\nAnswer: 2, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 53*t - 5. Let r(p) = -32*p + 3. Let l(v) = 3*h(v) + 5*r(v). Let m(o) = 3*o - 1. Calculate 4*l(a) + m(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 2*t**3\/3 - 3. Let y(u) = 3*u. What is b(y(k))?\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**5\/60 + 5*o**4\/8 + 155*o**3\/3 - 2*o**2 + 23*o. Is f(0) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19222 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v - 133. Let j(p) = -21*p + 398. Give 2*j(r) + 7*w(r).\nAnswer: 7*r - 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 27. Let l be j\/(-15) - 1922\/(-15). Calculate the highest common factor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55301436*j + 75649319 wrt j.\nAnswer: 55301436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*g + 5*g + 476 = 0 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4230 and 141282?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 470 = 18*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**2 + 39024*c + 156048 = 0.\nAnswer: -13004, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -385257, -385258, -385259, -385260, -385261, -385262?\n\"Answer: -v - 385256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.2, 0.3, 0.67, -0.28, -3?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 152.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1\/5, -24, 0.3?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 k when four letters picked without replacement from fkfkgff?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-15 - (-23 + 34))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17430 divided by 830.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 717, 2, -55, -25 in ascending order.\nAnswer: -55, -25, 2, 717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(18)\/sqrt(2)))\/(sqrt(392)*2).\nAnswer: sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwsqswwwiwqswqs. Give prob of picking 4 s.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15802713?\nAnswer: 3, 673, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*w - 745 - 695 = 0 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -936 + 952. Suppose 3*r + r = 1216. What is the highest common divisor of y and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15*-2)\/(22\/(-275)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 2, r: 1, z: 7, u: 4}. What is prob of picking 2 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/30*30\/132.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*y**5 - 196*y**5 - 137*y**5)*(-6 + 3 + 1).\nAnswer: 380*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-81 - -18) + -6 + -8 + -2 + 1\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460 = -5*m - 0*m. What is the third derivative of 11*n**4 + 7*n**4 + 124*n**2 - m*n**2 wrt n?\nAnswer: 432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -882029*f + 3. Let t be n(-4). Let q = 618119 - t. Round q to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 1028424.\nAnswer: 4113696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 27. Let a(b) = b**2 - 5*b + 2. Give a(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2244 + 220542?\nAnswer: 214254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/(-200))\/(117\/16532). Let i = -9\/130 - x. Which is smaller: i or -10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 13*b**2 - 31*b + 4. Let z(k) = -6*k**2 + 12*k - 2. Let s(h) = -2*l(h) - 5*z(h). What is s(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 34, 64, 100?\n\"Answer: 3*u**2 + 15*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 5*l**2 - 4*l - 17. Let k be q(-5). Let b = 0 + 0.1. Let v = -57059\/7 + 8151. Sort k, 1\/3, b, v in increasing order.\nAnswer: v, b, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11)\/(((c*(c**9*c)\/c*c)\/c)\/c))**(2\/27) assuming c is positive.\nAnswer: c**(-40\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 41*u**3 + 400*u**2 + 48*u**2 - 43*u**3.\nAnswer: -2*u**3 + 448*u**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 26*k + 110. Determine c(25).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -256*n**2 - 29*n - 36. Let y(v) = -14*v. Determine y(x(h)).\nAnswer: 3584*h**2 + 406*h + 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 8:33 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 62 + 187 = -3*t, -455 = 5*t + 5*n. Let f = -81 - t. Calculate the smallest common multiple of 21 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253768.1 milliseconds to seconds.\nAnswer: 253.7681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/4)\/(s*s**3*s)*s**(-5)*s**(-3\/7)\/s assuming s is positive.\nAnswer: s**(-341\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.1902 decades in centuries?\nAnswer: 48.21902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 153 = -267. Calculate the greatest common factor of 266 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 935639815 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10554 (base 7) to base 9\nAnswer: 3613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -22264\nAnswer: 7\/5566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(3) + (sqrt(108)\/sqrt(4) - sqrt(27) - sqrt(3)))**2 + sqrt(1944)\/sqrt(8).\nAnswer: 1 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 17 (b) 1\/6 (c) -3393\/7 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 4, -2, -17303?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*((sqrt(128) - (sqrt(128) - (sqrt(128)*1 + 0))) + 2))**2.\nAnswer: 288*sqrt(2) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in months?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 16. Let a be (-26)\/c - (-12)\/(-20). Let u be (-1 + a)\/(5\/330). What is the highest common divisor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*g + 84, 249 = 5*g - 0*j - 3*j. Let w = -40 + g. Calculate the least common multiple of 22 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/(-9))\/4)\/((-102)\/765)*-1*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4 - 5\/(-2). Let x = -2.9 - -3. Which is the nearest to x? (a) 0.1 (b) -0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/1120 and -23\/413728.\nAnswer: 2068640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 0*y**3 + 0 - 19*y**2 - 3\/8*y**4 + 0*y. Let n(v) be the third derivative of v**5\/60 + v**2. Give o(n(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(40\/(-2))*58. Let x = 763 - 3777\/5. Let y = x + s. Which is bigger: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -485036*u. Let i(l) = 550*l**2. Determine i(y(w)).\nAnswer: 129392956712800*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*x = 0, 4*d - 2*x - 21 = x. Suppose -d*u - 3*f - 11 + 131 = 0, -3*u - f = -114. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 3:46 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g**2 - g - 4. Let c = 14 - 21. Let x be w(c). What is the first derivative of -5 - 346*l + 16*l**4 + x*l wrt l?\nAnswer: 64*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**0*d)**(4\/17)*d\/(d\/d**(2\/17))*d*d**(3\/2) assuming d is positive.\nAnswer: d**(105\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 319611833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2092594 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2170 - 477*n**2 + 958*n**2 - 2170 - 481*n**2 - 7*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152934024 divided by 296.\nAnswer: 516669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-5 - (-15 + 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28829530 divided by 14414765.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/4*(-16)\/24. Which is the third smallest value? (a) -11\/3 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4580*k - 4587*k + 168. What is the common denominator of -81\/188 and 9*(-2)\/k*47\/15?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 116*o + 26. Let u be h(5). Let v = u + -315. What are the prime factors of v?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x**2 - 11*x + 13. Let f be o(1). Let d(b) = b + 7. Calculate d(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3666 - -3676. What is the second biggest value in o, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -66. Factor 4*r**3 + r**3 - f*r**2 + 19*r + 9*r**3 - r - 2*r**4.\nAnswer: -2*r*(r - 3)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(960)*-1 - sqrt(960))*-1)\/((sqrt(80) + sqrt(80) + sqrt(80) + -2*sqrt(80) + sqrt(80))*-5*5).\nAnswer: -6*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 36 + 301 = 0. Suppose -5*w + 2*p + 105 = -944, -w = -2*p - 213. What is the remainder when w is divided by q?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9*t + 4 - 9 + 11*t**2 + t**3 + 1 - 4. Let i be q(-11). Suppose 3*m = -2*j + 35, -j - j = 2*m - 22. What is the highest common factor of i and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377 (base 9) in base 14?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 10.5, -3\/7, 0, 291, -4 in decreasing order.\nAnswer: 291, 10.5, 0, -2\/11, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -499.08838 to zero dps.\nAnswer: -499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*w = 2*d + 202*w + 4, 5*w + 27 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -3\/4, -75, -1\/3, 1018?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 422 + 234. Calculate the remainder when p is divided by (-1 + -2)*(-28)\/3.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2852\/1116 - ((-2)\/(-2) + 2)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86448455711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**2 + 36*j - 162. Determine h(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 - 4 = 0. Suppose -14*f + 19*f - 46915 = z. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/13)\/q)\/q**(-13\/3))**(-2\/55) assuming q is positive.\nAnswer: q**(-22\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 26960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001657 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -t + 13, -8*a = -2*t - 13*a + 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 0*f - 4*f - 25 as r*f + h and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2 (c) 181 (d) 182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101235 (base 12) to base 13.\nAnswer: -8a272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 68*j + 72.\nAnswer: -4*(j - 18)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(162) - sqrt(162)*2) + -5 + sqrt(162) - sqrt(162)) - ((sqrt(64)*-1 + sqrt(64))*-4)\/sqrt(2)) + 0.\nAnswer: -9*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -210*f + 175. Let n(o) = o - 1. Let j(t) = 175*n(t) + w(t). Let x(l) = 2*l. Determine j(x(q)).\nAnswer: -70*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 2 = -18*l. Let o(p) = 5*p - 3. Determine o(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 - 26514*f\/5 + 175748049\/5.\nAnswer: (f - 13257)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, -102, -557, -1578, -3387?\n\"Answer: -37*m**3 + 50*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4777727293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2 = -7. Let c be ((-7)\/3 + 2)*z. Sort 5, 2, c in descending order.\nAnswer: 5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - u**2 + 2. Suppose -11*g - 1407 = 210. Let v = -149 - g. Calculate h(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19346620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 6*x**2 + 2*x + 9. Let y be ((-2975)\/65)\/5 + (-6)\/(-39). Let t be q(y). Which is smaller: 233 or t?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*r = -146*r + 1496000. What is r rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 6*o**2 + 4*o - 10. What is f(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141\/(-1630)*(-4)\/(-7)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*t + 30 = 0, -4*p + p - 2*t + 101 = 0. Calculate the remainder when 197 is divided by p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -24*q + 56. Let o(z) = 956*z**2 + 952*z**2 - 2852*z**2 + 946*z**2. Calculate l(o(j)).\nAnswer: -48*j**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 19. Let y be q(15). What is the greatest common factor of 20 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.184 - -0.016. Sort s, 1\/9, -4 in descending order.\nAnswer: s, 1\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 26 = -5*z, -3*l - 2*z - 3*z + 11 = 0. Suppose 0*o + 2*o = -4. Let m be o\/(-4) - 14\/4. Is m < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22200 (base 5) to base 10\nAnswer: -1550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 y when three letters picked without replacement from {y: 4, w: 2, m: 1, j: 2, d: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*24*(-10)\/45?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9945492, -19891007, -29836522?\nAnswer: -39782037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -a59994 (base 11) to base 8\nAnswer: -6362166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 3051466?\nAnswer: -3051470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 577478864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 404012757 to the nearest integer?\nAnswer: 20100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 77524015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/94 and -23\/10?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -89, -906, -3169, -7598, -14913?\n\"Answer: -120*k**3 - 3*k**2 + 32*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8095731?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 3*p + 18, -99 = -9*k + 10*k + 24*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.041 + 0.459. Sort 0.1, 13, o in decreasing order.\nAnswer: 13, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 855*x - 52837. Determine w(62).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/30)\/(-1) - 6\/(-9)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 - 3*v**2 + 5*v**2 - 4*v - v**2. Let i be 2\/(0 + (-1)\/2). Let f(b) = -91*b**2 - 7*b + 4*b + 89*b**2. Give i*k(w) + 5*f(w).\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -15. Let q(l) = -3*l - 1. Let n(o) = 6*o + 3. Calculate a*n(b) - 7*q(b).\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 0*j**3 - j + 0 + 1\/6*j**4 + 0*j**2. Let n(f) be the third derivative of f**4\/6 - 81*f**2. Give k(n(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2052, -16322, -55034, -130404, -254648, -439982, -698622?\n\"Answer: -2036*i**3 - 5*i**2 - 3*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y - 1800 = -106*y + 517*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -72*u + 70*u - 9 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 216*s + 9724. Let g be i(-45). Factor -28\/5*l**2 + 4\/5*l**3 + 44\/5*l - g.\nAnswer: 4*(l - 5)*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r + 10. What is t(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/105 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gawwat. Give prob of picking 2 a and 2 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -26 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 2*b + 2241 = -3*v, -4*v + 1776 = 4*b. Find the first derivative of 474*d**3 - v*d**3 + 36 - 15 wrt d.\nAnswer: 81*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.26, 3, 2\/23, -2\/9, 68\/11?\nAnswer: 68\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**3 + 120*k**2 - 21*k - 22. List the prime factors of h(-17).\nAnswer: 2, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l - 16*l - 78 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 8:01 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 2 = 6*t. What is the remainder when t is divided by (-2 + 7)*(-8)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197461*-27.1.\nAnswer: -5351193.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -20, 88, 3, 1.1?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 = 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16797 - 16723 - (160 - 0)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) 2 (c) -58 (d) 72 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(209)\/(-2*sqrt(176)) + 3*(3 + sqrt(19) + 1)))**2 + -2.\nAnswer: 1725*sqrt(19) + 481547\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 8*l - 12. Let i be f(10). Let s = -2 + i. Find the third derivative of 2 + 3*w**s + 3*w**2 - 2 wrt w.\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 10:45 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 294 - 229. What are the prime factors of z?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*i - 8 = -5, -2*r = -i + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 5:16 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 628484, 1256956, 1885420, 2513876, 3142324, 3770764?\n\"Answer: -4*x**2 + 628484*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*l**2 - 212*l**2 + 396*l**2 + 268 - 268.\nAnswer: 326*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**4\/54 - 83*y**3\/27 - 86*y**2\/3 - 898*y. Let u(g) = 0. What is g?\nAnswer: -3, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -399610 (base 11) in base 16?\nAnswer: -993b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1351 - 391. Suppose -5505 = -3*u + c. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 104 - 37 + 467 - 8*j + 4*j**3 + 660 + 6*j**3 wrt j.\nAnswer: 30*j**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 s when four letters picked without replacement from ssgsssgggsgsssss?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7263 - 7264. Put u, 0, -5, -2, 32 in decreasing order.\nAnswer: 32, 0, u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 2*j**4 - 8*j**2 - 7*j**2 - 360 + 13*j**2 + j as a*j**2 + z*j + o + d*j**4 + s*j**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 81*r**2 - 364*r - 86. Determine w(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117 + 0 + -187 + 181 - (4 + 10 - 27).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 14 = -16. Let d = 281 + -278. Suppose -2*c + v = 0, -2*o - d*o = c - 90. Calculate the least common multiple of o and 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x + 6. Let f(h) be the second derivative of h**5\/120 + h**4\/24 - h**3\/2 + 4*h. Let z(q) be the second derivative of f(q). Give v(j) - 4*z(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*g = -31486, -3*g + 12610 = 2*i - 7*g. What are the prime factors of i?\nAnswer: 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 127.383101 and 0.3.\nAnswer: 38.2149303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (42*p + 28*p - 24*p)*(41 - 4 - 1) as y + r*p and give r.\nAnswer: 1656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 95?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 4*g**3 + g**3 - 2 + 2 + (-g - 1 + 1)*(2*g**2 - 3*g**2 - g**2) + 4*g**3 - g**3 + g**3 + (4*g**3 - 5 + 5)*(-3 - 1 + 1).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51277.3 + 55418. Round f to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4696279011 + 1595.\nAnswer: -4696277416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151*q**2 - 221*q**2 - 55*q**2)*(3 - 3 + 1 + (-2 - 2 + 6)*(-1 - 2 + 2)).\nAnswer: 125*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 - 2 - (21 + -25)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 539046437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-3))\/((-1)\/7). Suppose -3*l = -b*l. Suppose l = -4*c + 1 + 7. Solve -4 = 4*a, 5*a = -0*q - q - c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62172)\/(-544005))\/(556\/(-70)).\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 141272419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560754292.\nAnswer: 2, 7, 20026939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -3)*-3 - sqrt(1088)*-6)**2 + -3 + 3.\nAnswer: 810*sqrt(17) + 34506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 702931 and 2349?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) -577 (c) 1660\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 7:42 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Suppose -5 = -n*h + 4. Suppose h*d + d = 2*g + 112, 0 = -d - 5*g + 6. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 88? (a) 1\/5 (b) 7 (c) -0.5 (d) -0.1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 10480.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 492 + 486 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522190 is divided by 26109.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -9817500 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(1\/(-4)))\/((-3)\/((-30)\/35))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1544*l**4 + 2*l**2 + 286?\nAnswer: 6176*l**3 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -3 in decreasing order.\nAnswer: 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3296\/184 + 8\/92.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 47135126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Suppose t*w = -202 - 22. Let h = 87 + w. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((26\/1053)\/(2\/(-12)))\/(778\/5835)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -2\/9, 1, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*q - n + 12, 0 = 2*q + 2*n + 2. Suppose -3*t + 6 = 3*g, -4*g + 6 = q*t + t. Suppose t*j + 5 = 3. Is j at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 966785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1396 is divided by 621.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 7 - 4)*(-7*o + o + o + 2*o**2).\nAnswer: -8*o**2 + 20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.04 (c) 97 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9*-2465.25\nAnswer: -22187.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1821891174?\nAnswer: 2, 3, 37, 47, 283, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 12*w + 20. Let j = -10 - -15. Suppose -2*z - q = z - 72, 2*q - 120 = -j*z. What is the remainder when z is divided by x(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6929, 14150, 21377, 28616, 35873, 43154, 50465?\nAnswer: 57812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 times -0.02?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - c**2 - 9*c - 345. Is 213 a factor of u(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*g**6*k - 645*g**5*k - 2*g**2*k + 57*g**2 + 13*g*k wrt g?\nAnswer: 960*g**3*k - 38700*g**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5 - 730*d**4 - 28522*d**3 - 267134*d**2 + 59364*d + 6051024 = 0. Calculate d.\nAnswer: -322, -29, -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12383719 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -45. Suppose x*o - 2*k = o + 208, o = 4*k + 86. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17, 11, -9, -49, -115?\n\"Answer: -j**3 - j**2 + 4*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + f)*(20*f**2 - 46 + 46)*(-f - 3*f - 3*f)*((-4 + 5 + 0)*(-f - 1 + 1) + 2 + f - 1 + f).\nAnswer: -140*f**5 - 140*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33836 + -15610. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1090 and 377794?\nAnswer: 1888970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4496 + -2816. What is d rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**3 + 12204975*t**2 - 24409935*t + 12204965 = 0?\nAnswer: 1, 2440993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (28\/(-6))\/(22\/33).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13930, 55713, 125350, 222841, 348186, 501385, 682438?\n\"Answer: 13927*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 308792\/5046 + -59 + 28\/(-12)\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -3*o**2 - 26*o - 22. Let t be g(-5). Suppose -160 = -4*u - t*h, -3*h - 164 = -5*u + h. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = -4*n, -2*c = 2*n + 1 - 3. Solve 0 = c*d - 3*j + 5 + 4, 3*j - 16 = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**5 - 3*u**4 + 392*u**3 - 3*u**2 - 10.\nAnswer: 120*u**2 - 72*u + 2352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (-1)\/((-99)\/390). What is the fourth smallest value in -2, 3, r, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 685, 0.2, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0, 3, 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2 + 6*p + 2. Let b be 11\/33 + (-64)\/(-6). Suppose 5*c + 12 + b = -2*d, 0 = 4*d - 3*c + 7. Is i(d) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**7\/7560 + m**4\/8 - m**2. Let u(a) be the second derivative of r(a). Factor u(p).\nAnswer: p**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -155\/85859 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2 - (-14)\/4). Sort 5, q, 1 in increasing order.\nAnswer: 1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + c = -4888, -4*y + 6493 = -4*c + 2573. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695046.6 hours in minutes?\nAnswer: 41702796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxbx. What is prob of picking 1 x and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odossrsuusoou. What is prob of picking 1 o and 1 d?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*a + 20, 0 = -u + 3*a - 2 - 1. Let j be (12\/10)\/(u\/(-20)). Solve -p = -j*q - 11 + 29, 3*q = 2*p + 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 3*f**3 + 35*f**2\/2 - 4*f - 13. Let d be r(-4). Solve d = 5*c - 16 - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by -35286.\nAnswer: -19\/11762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*z - 385, -588 = -3*q + 437*z - 441*z. What is the remainder when q is divided by 178?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/((16\/3)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 184, 183, 180, 175, 168?\n\"Answer: -k**2 + 2*k + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -66. Which is the smallest value? (a) f (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19467 + 42*l**3 + 19467.\nAnswer: 42*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -37.\nAnswer: -5\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2 + 3. Let u(r) be the second derivative of r**4\/4 - 2*r**2 + r. Let h = 11773 - 11775. Determine h*u(t) - 3*g(t).\nAnswer: 6*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -476.9828 + 477. Let a = 28.0172 - k. Is a at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535665391?\nAnswer: 37, 14477443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 5*x**3 - 5*x**3 + 20*x**3.\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73919 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -69? (a) -3 (b) 0.4 (c) -2\/11 (d) 17 (e) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04563 and 5.\nAnswer: 5.04563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1242 - 4*f**2 - 1235 - 1232 + 3709.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-3\/17)*f)**(-4\/7)\/(f**(-2\/15))**(-2\/129))**20 assuming f is positive.\nAnswer: f**(-1147424\/46053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8, -1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1429718, -2859438, -4289158, -5718878?\nAnswer: -7148598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(12\/11)\/k*k*k*(k*k**(-1\/15)*k)\/k)\/((k**(-1\/3)\/k)\/k**(-13)) assuming k is positive.\nAnswer: k**(-1096\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*o + 5*n, -o - 8 = o + 4*n. Suppose 0*k + k = -3*d - 810006, o*k = d - 3239998. What is k rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m - 3. Let i(l) = -20*l + 1. Let n(c) = -3. Let s(j) = -i(j) - 2*n(j). Let a(w) = 5*k(w) + 3*s(w). Let y(f) = f. What is -a(d) + 20*y(d)?\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 155 and 55.\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 - ((-96)\/(-14) + -4) and 41\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 95, 1\/5, -1, -6\/5, -4\/9 in ascending order.\nAnswer: -6\/5, -1, -4\/9, 1\/5, 0.4, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/54 - (-1)\/(18\/(-9))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 27 = -3*c. Let a(n) = n**3 + 23*n**2 + 16*n - 40. List the prime factors of a(c).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 269980 = -t, 0 = t - 3*k + 4*k + 270000. Let w be (3 - t) + (-2 - -4). What is w rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-26) - (-108270)\/140751?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 + 4*u + 5. Let n be l(-2). What is the second derivative of 5*p**4 - 4*p**4 + 0*p**4 + 2*p**4 + n*p wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.85 + -2.08. Let y = -0.754 + h. Round y to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 0*v**4 + 51 + 0*v**2 + 5\/6*v**6 - 1\/5*v**5 - 28*v**3 + 0*v. What is the third derivative of z(w) wrt w?\nAnswer: 300*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5294 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14701162 is divided by 138.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 14 - 7 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12615432.\nAnswer: 2, 3, 97, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8*3)\/((-9)\/840*49).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-9)*(1 - 5\/(-5)). What is the nearest to 2\/3 in b, -5, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.49 - 400.51. Let c = -402.5 - w. Put 1, 4, c, -16 in decreasing order.\nAnswer: 4, 1, c, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 - 3*c**2 + 4. Give v(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y - 1. Let q be r(-1). Let c = 119 - 119. Suppose 9*p - 8 - 127 = c. Solve a + q*a = -p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 13*b + 4. Let v be r(2). Solve -v*f + 16 = -26*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 times -0.01\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11747 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*x**3 - 18*x**2 + 7*x**2 + 7*x**2 + 5*x**2 - 2*x**2.\nAnswer: 30*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*q - 7. Let b be (-5)\/7 - q\/21. Let m be (b - -3) + (3 - 10). What is the smallest value in -2\/11, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 13 + 5. Let h = w + 56. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120.74 - 235.07. Let k = 81.12 + r. Let m = k - 2.99. What is m rounded to zero decimal places?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*l + 1721, 11*l = 7*l - 5*o - 1751. Which is bigger: -435 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*d - 1, 2*d - 2 = 4*s - 2*s. Solve -2*m + 2 = -d*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2. Let t = -18 - -13. Suppose 2*m - 3*l = -27, 2*m + 4*l = -3*m - 10. Let i(r) = 2*r**2. Give m*z(y) + t*i(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187 - 142. What is the greatest common factor of k and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4784 + -2213. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -4824861.\nAnswer: -1929944.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14.791, 6.61, -0.4, -5 in ascending order.\nAnswer: -5, -0.4, 6.61, 14.791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -592031003 - t**2 + 592031003.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/21833 or 2\/9?\nAnswer: 2\/21833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22852.08 millilitres to litres.\nAnswer: 22.85208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*a*g**5 - 14*a*g**4 + 3*a*g**2 + 16*a*g + 2*a - 10*g - 1 wrt g?\nAnswer: 360*a*g**3 - 168*a*g**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.09007 meters to nanometers.\nAnswer: 9090070000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2827275630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**2 - 454569*g + 909150 = 0.\nAnswer: -151525, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 + 160. Suppose -4*v + 22 = 2*n - 6, 6 = -n + 2*v. Suppose 5 = q - 4*b - 9, -n*q + 5*b = -78. Calculate the remainder when k is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4\/7 - 25918*c**3\/7 + 84110256*c**2\/7 - 922700376*c\/7 + 2011808448\/7 = 0.\nAnswer: 3, 8, 6474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + c?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 244, 532, 1000, 1636, 2428, 3364, 4432, 5620?\n\"Answer: -2*b**3 + 102*b**2 - 4*b + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1434 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -4, 3, 22117, 4, 5, 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 58 = x, 552*x - 548*x = g - 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3453248 and 4?\nAnswer: 3453248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqbr when four letters picked without replacement from {v: 2, r: 2, b: 1, f: 1, c: 1, q: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + -1 + sqrt(288))*-4 - (0 + (sqrt(80)\/sqrt(4))\/sqrt(10)).\nAnswer: -97*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/8)\/((-4)\/(-16)) + -1. Solve 2 = 4*v - j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*n + 40 = -110*n. Solve -3*z = -5*i - 12, -n*z + 4*z - 13 = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 154*o**3\/3 - 284*o - 363. Differentiate a(t) with respect to t.\nAnswer: 308*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*h - 52, 5*h = -3*u + 138 - 18. Calculate the remainder when h is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 5*k**2 - 2*k. Let u be t(-4). Suppose g + 2 = -2*q, g - u - 4 = 4*q. Suppose -722 = -g*o - 138. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 387399?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 3854 = 2581. What is the greatest common factor of z and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((7 - -1) + ((9 - -1) + 5 - 13)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + b - 3. Let m(x) = 2*x**2 + 2*x - 4. Suppose 5*u = -10, -c - 3*u - 5 = u. Let i be 8*(-2)\/(12\/c). Calculate i*q(d) + 3*m(d).\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-72)\/(-240))\/((-22)\/935). Let x = -36 - -22. Which is smaller: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*w**3 - 2*w**4 + w + w - 7*w**2 + 7*w**2 + 2 + 4*w**2 as g*w**4 + m*w**3 + f*w + h*w**2 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s*s**(-1\/35))\/s)\/s))\/((s\/(s\/(s**(3\/17)*s)))\/s) assuming s is positive.\nAnswer: s**(1102\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 0, 2 in ascending order.\nAnswer: 0, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**4 - 32513682*n**2 + 110238*n - 84 wrt n?\nAnswer: -24*n**2 - 65027364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 262021687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m - 9. Let f be q(-5). What is the highest common factor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298487353.\nAnswer: 23, 113, 114847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1781 divided by -2490?\nAnswer: 1781\/2490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + p - 3*p + 7 = 0, -2*p + 19 = 3*z. What is the units digit of ((-12)\/16)\/(z\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 3*z - 48, h + 69 = 43*z + 13*z - 8*z - 45 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 437.5\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.675 to 0 decimal places.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.98 and 6425.\nAnswer: -102671.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118.6 - -101.6. Let s be ((-156)\/(-65))\/(3\/5). Which is the biggest value? (a) s (b) 0.5 (c) -0.5 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(4 + 2 + sqrt(99))**2.\nAnswer: -810 - 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 10) to base 3.\nAnswer: -2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 8*n**2 - 6*n + 5. Let s be i(7). Suppose 0*m + s = 3*m. Calculate the least common multiple of m and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 4:25 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6*u + 300 = 0. Let c = u - -152. Solve 1\/2*m**c - 1\/4*m**3 + 0 - 1\/4*m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834175 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**5\/4 - 5*k**3\/3 + 6*k**2 + 10*k. Is w(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2398750.\nAnswer: 2, 5, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + 0*d)*(0*d + d - 3*d) - 2*d**2 - 2*d**2 + 6*d**2 + 6*d**2 - d**2 - 3*d**2 - 38 + 38 - 17*d**2 - 3 + 3 - d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 12:08 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-138)\/(-400) + 382\/(-764) and 33\/500.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115*k**3 - 1595*k**2 + 162981*k - 2 wrt k.\nAnswer: -690*k - 3190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.6006 rounded to one dp?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 15 = -3*j, 11 = -3*c - 1. Let o = j + -2. Let h = -2 - 0. Which is greater: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 132. Does 5 divide g(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 15*a - 4. Let q be p(1). Suppose -25 = 4*v - 113. Calculate the greatest common factor of q and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1548, 1473, 1398?\nAnswer: 1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-2 - 9\/(-4))*4. Let c(b) be the second derivative of b**3\/2 + b**2\/2 + b. What is c(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (4 + -3)) + 24\/(-27). What is the third smallest value in -5, 3\/7, i?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6903 is divided by 113?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/55 and -59\/209.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 92, -1\/10, -1\/20779?\nAnswer: -1\/20779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1982 = -29*r - 17671. Let q = -517 - r. Calculate the remainder when q is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8183472*g**3 + 3*g**2 - 117*g + 885 wrt g?\nAnswer: -49100832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5)\/i*i*i)\/i*i*i*i\/((i*i*i**(-5))\/i)*i assuming i is positive.\nAnswer: i**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -40, 15, 112, 263, 480, 775?\nAnswer: 1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2208*z - 2212*z + 17 to n + c*z and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + (3 + sqrt(245) + sqrt(245)*-1)*3)*4)**2.\nAnswer: 20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 63\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -1.6 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/8 and -31\/246.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 707235027 to the power of 1\/2, to the nearest integer?\nAnswer: 26594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-20 - -35) + (6 - 20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 463, -3, -122, 0 in descending order.\nAnswer: 463, 0, -3, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 2*m + 2*m. Let w = m - -4. Suppose 2*c = w + 28. Calculate the greatest common factor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(0*v - 2*v + 4*v) + (2*v - 3*v + 0*v)*(0 - 3 + 1) - 43*v + 37*v + 21*v.\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21293 - -21295. Solve -4*o + 5*h + p = 0, -134*o - h + 14 = -130*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7446512?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-1 + -3)) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 175\/10*(-16)\/(-10). Let z be (-6)\/(-18) - k\/(-6). Solve -2*b = -3*p + p + 14, z*b + 3*p = -11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 88606 - -3c8?\nAnswer: 889ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -45, 32, 181, 426, 791, 1300?\nAnswer: 1977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 148 - 98. List the prime factors of 2*m*(-1)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 l, and 1 j when four letters picked without replacement from {x: 3, l: 1, j: 1, e: 6, q: 2}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (-2 + 1 - 4). Find the third derivative of -9*s**2 - 4*s**3 + 2*s**3 + s**2 - m*s**3 wrt s.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)*v)**34 assuming v is positive.\nAnswer: v**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x**3 + 2*x**2 + 18*x - 20. Let r(h) = -7*h**3 - 3*h**2 - 22*h + 22. Give 5*n(u) + 4*r(u).\nAnswer: 2*u**3 - 2*u**2 + 2*u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-135)*(-12)\/16.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 484?\nAnswer: 18876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 1290 = -5*n - 5*k, 4*k - 1056 = -4*n. Let r = n + -241. Solve 4*f = -f - r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b**4 + 0*b**4 + 6*b**4 + b**2 + b**3 + 2 - 2*b to s*b**2 + l*b**4 + d + a*b + n*b**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 4860*f + 43416.\nAnswer: 4*(f + 9)*(f + 1206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v - 8. Suppose -2*x - p + 85 = 0, 3*x + v*p + 2*p - 130 = 0. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and -9330937.\nAnswer: -9330944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336036252?\nAnswer: 2, 3, 28003021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1938 divided by -6.\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61172342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47838 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - q**2 - 1 + (q + 0*q - 3*q)*(0 - 2*q + 0) + 3*q**2 - 5*q**2 + 3*q**2 + (1 - 1 - 2*q)*(-3 - 1 + 0)*(7*q - 25 + 25).\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356, 953, 1788, 2861, 4172?\nAnswer: 5721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-592)\/2072)\/((72\/(-154))\/(-3))*-12.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106413657 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-11 - (-6 + 0)) + 3 - 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263065, -526122, -789179, -1052236, -1315293, -1578350?\nAnswer: -1841407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-2 - -4 - (1 + 3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 225*j**5\/2 - 31080*j**4 + 4109089*j**3\/2 + 12873453*j**2 - 3542202*j + 238572 = 0.\nAnswer: -6, 2\/15, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -483747, -483347, -482947, -482547, -482147?\n\"Answer: 400*d - 484147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015732 a multiple of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -19*d**7\/2520 - d**6\/720 + d**5\/30 + 3*d**2. Let m(t) be the third derivative of r(t). Is m(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*s - 340*s + 4*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5301 and 45966149.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**5 + 12*a**3 + 8*a**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**2 - 1 + 1)*(2 - i - 2) + i**2 - i**2 - i**3 + (-4 - 2*i + 4)*(82*i - 82*i + 92*i**2) to s*i**3 + v + b*i + m*i**2 and give s.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -47*h + 102*h + 0 - h**3 + 1 - 52*h. Suppose -x + 3*q - 17 = 0, 3*x + 0 + 11 = q. Let k be o(x). Solve 2*n + k*a = 0, 5*n - 2*a + a + 17 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 + 1.1. Let x = 39 + -39.904. Let y = x + v. Round y to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 10*k**2 - 12*k + 13. Let l be w(11). Let z = l + 2. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1, 0, 10.64?\nAnswer: 10.64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/13 in 0.07568, -0.3, -125, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*b**3 + 3 - 19*b**3 + 7*b**2 + 10*b**3 - 2 - 3*b**4 in the form r*b**3 + v*b**2 + d + j*b + z*b**4 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -17. Suppose 63 = l*y - 222. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145556 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**4\/12 - 16*r**2 - 3. Let a(x) = 4*x - 2. Calculate a(s(j)).\nAnswer: -8*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 3*m**2 + 3 - 6*m**2. Suppose o + c + 2 = 0, -3 - 1 = -4*c. Let w be 30\/9 + (-2)\/o. Let d(x) = 2*x**2 - 2. Calculate w*p(y) + 5*d(y).\nAnswer: 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from hehffhfehfxhhhwhhh.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(204)*-5*-4)\/((sqrt(432) + (sqrt(432) - 2*sqrt(432)*-1))*4).\nAnswer: 25*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -166*l**3 + l**2 + 1301. Let i(w) = w**3 - 8. Let u(f) = -4*i(f) - s(f). Differentiate u(h) with respect to h.\nAnswer: 486*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16935*o**2 - 2139*o + 2079*o - 16936*o**2.\nAnswer: -o**2 - 60*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**3 + 46*p**2 - 3*p - 35 wrt p.\nAnswer: 18*p + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.65 (b) 4\/5 (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.65519 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62\/19 + 2549\/228. Find the common denominator of -77\/8 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -21. Let g be 1\/(1 + 15\/s). Let n be 10 + (-3 - -2 - g). Calculate the greatest common factor of n and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g - 41. Let i be h(6). Sort -5, i, -2 in decreasing order.\nAnswer: i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 1. Let r(x) = 10*x + 19. Let u(z) = 2*r(z) + 14*t(z). Let i be u(-6). Let o be (-160)\/6*i\/75. Calculate the greatest common divisor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 3*l - 3. Let s be b(2). Let a(n) = 14*n + 67. What is a(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y + 16*y - y to n*y + w and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -211 - -210. Which is greater: z or 2\/735?\nAnswer: 2\/735","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t - 10. Let l be s(-6). Suppose -u = -20 - l. Let p = -724 + 789. Calculate the remainder when p is divided by u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 130 = j - 138, -4*j = -5*s + 278. Let b = -1 - 0. Let v = b + s. What is the remainder when v is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-a**2 + a**2 + 2*a**4) + 3*a**4 + a**4 + 3*a**4 + (-4*a**2 + 5*a**2 + 0*a**2)*(-2*a**2 + 0*a**2 + 7*a**2).\nAnswer: 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/91)\/((13776\/(-588))\/(-82))\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 4*k - 4*k)*(2 + 0 - 3)*(2*k**2 - 8*k**2 - 4*k**2).\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**3 + q**2 + q - 2. Suppose 0 = 5*m + 4*m - 153. Calculate the remainder when j(-2) is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -484998 - 14?\nAnswer: -485012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 74 + 219b1?\nAnswer: 21a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(21\/2)*(-126)\/28. What is the closest to 4 in g, 3\/5, 0.2, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8063173 to the power of 1\/2, to the nearest integer?\nAnswer: 2840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85335 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 347 + -339. Suppose 4*w + 20*s + 8 = 16*s, 4*s + f = 5*w. Let a = -1 - -1. Solve w = 2*d - 0*x + x - 7, 5*x + 15 = a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**2 + 40*m - 138 = 0.\nAnswer: -23, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 7, 5, 1885, -1 in increasing order.\nAnswer: -1, 5, 7, 60, 1885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 193875 and 13750.\nAnswer: 1938750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + -1 + 5.\nAnswer: 4 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + s = 105, -3*w + 2*s + 65 + 11 = 0. Suppose 0 = -z + 2*z - 4. Suppose w = z*f + 2. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - u**2 + u + 16. Let v be j(0). Suppose -3*t - k = -0*k - v, -5*t = 3*k - 28. Solve -t*h = 4*o - 41, -h - 4*o + 9 = -3*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.899 plus 69?\nAnswer: 69.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - n + 35 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 15*u**2\/2 - 12*u + 8.\nAnswer: -(u + 4)**2*(2*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133.09 + -134. Let v = 8 - 7.91. Let s = o - v. Which is the closest to -0.1? (a) s (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51241054 to the power of 1\/2, to the nearest integer?\nAnswer: 7158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 9.7 (b) 5 (c) -2 (d) -66\/13 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*q = -6, -2*d - 3*q - 2 = -3. Suppose -6 = -3*f, -d*l - 3*f + 234 = -0*f. List the prime factors of l.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -567 + 572 + (1 - 21) + 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8505961 to 4 dps.\nAnswer: -2.8506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 0 - (-11 + (40 - 8 - 12))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2009976*f**2 - 1833618?\nAnswer: 4019952*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 8*n + 21090 = 0. Calculate the common denominator of n\/(-225) - (-1 - 6\/(-10)) and (1\/9)\/((-20)\/(-426)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*h = 177*h - 65 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r. Let j(o) = o**3 - 14*o**2 + 52*o - 26. Let h be j(8). Let d(y) = -9 - 1 + 6*y + 10. What is h*d(f) + 5*m(f)?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s - 7. Let c(q) = -q + 4. Let y(i) = -5*i + 21. Let v(l) = 33*c(l) - 6*y(l). Let g = -6 + 1. Let p(a) = g*v(a) - 4*x(a). What is p(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 55 = 6*d. Let q = d - -13. What is the derivative of 3 - 6*o**2 - 10*o**q + 11*o**2 wrt o?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3681529385?\nAnswer: 5, 23, 677, 47287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110d (base 15) in base 5?\nAnswer: -11323423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2338 by -2.\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4970 is divided by 2470.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 7*c + 60412*c**2 - 30036*c**2 - 29814*c**2 + 0*c.\nAnswer: 562*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1047000 to the nearest 10000.\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**3 + 3*w**3 - w**3. Let i = 11 + -12. What is the units digit of y(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24518815 to the nearest 100000.\nAnswer: 24500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -227 (base 10) to base 13\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 6*j = 0, 5*n - j = 8*n - 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 134*m**2 - m**2 - m**3 + 68*m**2 - m - 41*m**2 in the form k*m**3 + v*m**2 + a*m + t and give v.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43587*o**5 - 21*o**4 - o**3 + 150048269*o**2 wrt o?\nAnswer: -2615220*o**2 - 504*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 519510?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**6\/15 - 2*t**5\/25 - t**4\/10 + 2*t**3\/15 - 19. Factor f(y).\nAnswer: 2*y**2*(y - 1)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {t: 1, e: 4, k: 1, r: 6, b: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48980 is divided by 924?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -21. Let h(u) = u - 2. Let m be h(9). Suppose -144 = 3*t - m*t. What is the greatest common factor of t and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 341*k**3\/6 - 79*k**2 + 488*k. Differentiate l(b) with respect to b.\nAnswer: 341","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 0 - 2\/3*h**3 + 0*h**6 + 0*h**5 + 1\/42*h**7 + 0*h**4 + 4*h + 0*h**2. Find the second derivative of x(m) wrt m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 22*g**2 - 20*g + 6. Is r(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81353152, 81353159, 81353164, 81353167?\nAnswer: 81353168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177737453.\nAnswer: 177737453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/4674 and 77\/54.\nAnswer: 42066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42272 + 18272. Let c be ((-2800)\/(-12))\/((-2)\/p). Round c to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b**4 - 8*b**3 - 36*b**2 + 44*b + 16. Let h(r) = -7*r**4 + 7*r**3 + 37*r**2 - 43*r - 16. Let p(c) = -4*h(c) - 5*x(c). Factor p(v).\nAnswer: -(v - 2)**2*(v + 2)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(2\/73)*w)*w**(4\/19) assuming w is positive.\nAnswer: w**(254\/1387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 19*a - 70. Let d be s(14). Solve d = -2*l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3*sqrt(135)\/sqrt(3)*4)\/(6*sqrt(108)\/(sqrt(12)*1))*4)**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*s + 72 = -27, 0 = d - 2*s - 33. Suppose 3*z - d = -3*p, p + 3*z - 15 = -z. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfnhznnnfinhfifk. What is prob of picking 1 z and 1 k?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 5. Let d = 1 - 23. Let u = 39 + d. Suppose -5*a + w = -11, a - 2*w = 3*w - u. Calculate g(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 12:39 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/c**2)*c)**15*(c**(-1\/2)*c)**(-1\/22))**28 assuming c is positive.\nAnswer: c**(18473\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(2\/(-30))*2\/6. Suppose -4*k + 11 - 3 = 0. Solve 0 = -4*z + 3*t - 0 + g, 10 = -k*z + 4*t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/5, 5, 16, 3\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 54, 84, 126, 186, 270?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 611*r**4 - 129729*r**3 - 315439331*r?\nAnswer: 7332*r**2 - 778374*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.27 - -48.73. Let j = -48.99999971 + c. What is j rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010110 + -11?\nAnswer: 100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -561809304 by -1512.\nAnswer: 371567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0776 - -0.2224. Let l = 3 + -8. Which is the closest to l? (a) 2 (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**4 + 2*x**3 + x**2 + 2. Let h(f) = 6*f**4 + 3*f**3 + 3. Let o = -8 - -10. Let r(p) = o*h(p) - 3*q(p). What is the third derivative of r(t) wrt t?\nAnswer: -144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10)\/(-40)*(7410 + (-5 - -3)).\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 4:30 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 442\/25 or 18?\nAnswer: 442\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2, -2, 4424, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 + 4 = 0. Solve -12 = 2*n + x*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkf when three letters picked without replacement from {b: 2, w: 2, f: 4, k: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/4 - 39*q\/2 - 81\/4.\nAnswer: 3*(q - 27)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 322 and 684.\nAnswer: 110124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*103.5.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12897, 26438, 39977, 53514, 67049?\n\"Answer: -m**2 + 13544*m - 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - 3ca97ca?\nAnswer: -3ca9807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57376 + 3376 = -4*j. What is j rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -526*n + 2. Let t be f(-1). Suppose -t = -5*a + 612. What are the prime factors of a?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35336*i - 35327*i - 5*z + 16, 5*i = z - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - d**2 + d - 323. Let i be w(0). Let g = -213 - i. Suppose -q + 6*q = g. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4049287?\nAnswer: 11, 368117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 12*i**7\/7 - 5*i**4\/4 + 520*i**3\/3 + 998. What is the third derivative of s(x) wrt x?\nAnswer: 1440*x**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 244*r**3 + 6*r**2 - 7*r - 6. Let n be w(3). Let o = -32924\/5 + n. Are o and 31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 454, 750, 1046, 1342, 1638, 1934?\n\"Answer: 296*v + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/27)\/((-2)\/81). Let m = p - 46. Let f = m - -29. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4\/5 + 9*q**3 - 21*q**2 - 9*q + 108\/5 = 0. What is q?\nAnswer: -1, 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u = -84. Let c be 2\/7 - (-15)\/u. What is the units digit of c\/((-1)\/((-21)\/3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k + g + 460 = 0, 2*k - 312 = 2*g. What is the remainder when k is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4 - 1468*j**3 + 19076*j**2 + 34020540*j = 0. Calculate j.\nAnswer: -251, 0, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3016 and 10824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4 + 5.6. Let k = 7\/45 + -73\/180. Sort -0.3, l, k in descending order.\nAnswer: l, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52246 + -52492.09. Let i = 246 + u. Let r be (-32)\/24 - (-1 - 0). Which is the nearest to 1? (a) 2\/5 (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1)\/(49*22\/(-616)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 951 divided by 5?\nAnswer: 951\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-39)\/(-33))\/(12\/(-20)) and -58\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 = 46*t - 56 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2 + sqrt(891)) + sqrt(891) + 1 - (0 + (sqrt(891) - (-2 + sqrt(891) + -4)))) + 1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -55, -171, -395, -763, -1311, -2075?\n\"Answer: -6*h**3 - 2*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*215517.5.\nAnswer: -64655.25","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*7\/875)\/((-1)\/(-5)). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 450000 = -9*f. Round f to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 1:36 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*o - 3*o**3 - 4 + 4.\nAnswer: -3*o**3 - 55*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -559 = -8*c + 297. Let k = c + -107. Suppose 0 = -4*j + 11 - 3. Solve l - j + 6 = k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/9 - 112\/9*u**2 - 32\/3*u - 2*u**4 - 64\/9*u**3 - 2\/9*u**5.\nAnswer: -2*(u + 1)*(u + 2)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(57) + sqrt(228)\/sqrt(4) - sqrt(57))*-4 - sqrt(57))\/(sqrt(3)*2*6))**2.\nAnswer: 475\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154 by -77.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y + 1329. Let m be h(-81). Solve -3*i - 285 = -3*z - m, -16 = 2*i - 4*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9015*c*o + 3240048*c - 2537*o wrt o.\nAnswer: 9015*c - 2537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 129*f**2 + 2*f - 1. Suppose i + 112 = 3*i. Let a = -57 + i. Is s(a) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 27*r + 4. Let g be (12\/(-7))\/((-404)\/2121). Let q(u) = -54*u - 9. Calculate g*x(p) + 4*q(p).\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2864 or 2865?\nAnswer: 2864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*(-12)\/3. Let l = 24 - 21. Let o be 499 + (l - (y + 4)). Round o to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j. Let f(b) = -3*b - 1. Let m(a) = -f(a) - 4*k(a). Let d be m(1). Is 6\/11 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-54)*(-6)\/20\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 10*l**3 + 15*l**3 - 4*l + l.\nAnswer: 5*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(222\/76 - 3). Let f(u) = 17 - y*u - 39 + 19. What is the tens digit of f(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 567889, 567890, 567891?\nAnswer: 567892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 4*o + 28, -27*s = -29*s - 2*o + 6. Solve 2*h + 21 = s*c + 4*h, c - 5*h - 15 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240255 = 43*r + 52*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + -4 + -3)*-4 + -5 - ((sqrt(76)*-2*-6 - (sqrt(76) + (sqrt(76) - (sqrt(76) + sqrt(76) + 2 + 0))))*6)**2.\nAnswer: -394105 - 3472*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 15 - -13) + -1 + 19 + (6 - 14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + j**2 + 7. Let h be 5 + (-1*1)\/(5\/15). Let l be ((-20)\/8 + h)*0. Calculate u(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -322, -699, -1218, -1873, -2658?\nAnswer: -3567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11275264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 39.682.\nAnswer: 15.8728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:39 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*c**2 - 34 + 15*c**2 - 1 - 2*c**3 wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 84, 38, -10, -60, -112, -166, -222?\n\"Answer: -i**2 - 43*i + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 328 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44002.5 and -0.4?\nAnswer: 17601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*k - 8. Let s be (-3)\/(4\/(k\/3)). Suppose 14 = -s*t + 3*t. What is the remainder when 27 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*v + 82*v + 2899 + 13007 = 469*v for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 4, 29, 64?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25675 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: Convert 1131232031 (base 4) to base 13.\nAnswer: 105968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25995 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 13*m - 14*m - 1 = 0, 6*p + 5*m = 4*p - 59 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, t: 3, m: 1, v: 4, f: 4, h: 3}. Give prob of picking 1 t, 1 m, and 1 f.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -402 times 14917.8\nAnswer: -5996955.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-105)\/(-4)*80\/15?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*m - 0. Suppose 7*t - 120 = m*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3315400 - 4?\nAnswer: 3315385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-162)\/(-315))\/(-9))\/((-53)\/(-1484))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 8. Let d be 3*1*7\/3. Let r be q(d). Suppose -r = f - 11. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 21*w - 5*h = 18, 0 = w + 4*h. Let y = 43 + -33. Calculate the lowest common multiple of y and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1428196.5346 rounded to the nearest ten thousand?\nAnswer: -1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14910*r**2 + 994375*r - 165315 = 0. What is r?\nAnswer: 1\/6, 33063\/497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 12*d. Let c be u(1). Let h(z) = -2*z**2 + 3*z - 3. Let o(p) = p**2 - p + 1. Calculate c*o(s) + 4*h(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -37. Which is smaller: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**2. Let o(m) = -200346*m. What is p(o(d))?\nAnswer: -200692598580*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 + 5*g + 3. Let v be c(-1). Put 1\/7, -4, v in increasing order.\nAnswer: -4, 1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -359 - -281. Let y be (b\/(-8) + 0)*(-320)\/(-60). Calculate the greatest common factor of y and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwiuwiwiwiwuuuxuuu. Give prob of sequence xu.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q*q*q\/((q\/q**(-3\/13))\/q)))**(-12)*(q**(-9)*q)\/q**(1\/28))**(-32) assuming q is positive.\nAnswer: q**(-108312\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.319 + -1.419. Let i = 1.3 - -0.3. Let l = x + i. What is the second biggest value in 3, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91\/(-28)*(-961)\/(-37479)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -122.9397 - 0.0603. What is the biggest value in l, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from {d: 1, h: 5, y: 1, t: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*y = 197*y - 148 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**3 - 3060*p**2 + 3055*p = 0.\nAnswer: 0, 1, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -62*z + 59*z. Calculate the remainder when z is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*d**2 - 24*d**2 - 19*d**2 - 21*d**2.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 35*q + 107. Let m be u(-3). Solve 4*g - 3*y = -11 - m, g - 2*y = -7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454269.8ug in nanograms?\nAnswer: 454269800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-2))\/(-6 + 5). What is the third derivative of i**5 - 3*i**2 + p*i**5 - 5*i**5 + i**5 wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jccjjccuuuujcejj. Give prob of sequence euuc.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 10:05 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 486*l - 453661*l**2 + 486*l - 8 + 453662*l**2.\nAnswer: l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -3 in increasing order.\nAnswer: -5, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/((-15)\/410))\/20 - 4. Which is the closest to 1? (a) -4\/7 (b) 7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27877248 divided by 6?\nAnswer: -4646208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 26*o**2 - 4*o - 4. Let f(l) = -25*l**2 + 6*l + 5. Let p(c) = 2*f(c) + 3*r(c). Let b(y) = -2*y. What is p(b(m))?\nAnswer: 112*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - -2003?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225970260 by 56492565.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -2 (b) -2\/57 (c) -0.3 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 2*((sqrt(99) - (-1 + sqrt(99))) + 5))*-1*-1)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2*t - t)*(4 - 1 - 6).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 21*l**3 - 32*l**2 + 32*l**2 to a*l**3 + i + y*l**2 + k*l and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - 503*t**2 - 1761126 + 1761126 as a*t**2 + m + i*t and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-60 + 90) - 23\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -5b08?\nAnswer: 5b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n*n\/n**(-7)*n)\/n*n*n*n)))\/n**(3\/5))\/((n*n**(-2\/27))\/((n*n\/n**(-4\/11))\/n)) assuming n is positive.\nAnswer: n**(17579\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - 3*b**3 - 3*b**3)*(41 - 152 - 95)*(-3*b + 0 + 0).\nAnswer: -1854*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.8? (a) 11\/5 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6382 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - j. Suppose 2*h + 2*l = -h, 0 = -4*h + 3*l. Let a be 62\/5 + (2\/(-5) - h). Let t(y) = -3*y**2 - 4*y. Determine a*i(q) - 3*t(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 25 = 5*k, -3*k - 2*k + 25 = -2*j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9196176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 31, 1\/4, -20\/19, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 624456254.\nAnswer: 2, 389, 802643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5145 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (758 - 378 + 4145*w**2 - 380)*(2 + 0*w + 4*w - 3*w) in the form o + u*w**2 + s*w + x*w**3 and give u.\nAnswer: 8290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b686 + -3772?\nAnswer: 7b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.31286 years to centuries.\nAnswer: 0.0231286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 10, 5*s + 3*v - 18 = -3. Solve s*h = -3*h + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195689370 rounded to the nearest 100000?\nAnswer: 195700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 7736 = 3*d, 7*d + 4*c - 12915 = 2*d. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzbzrztbrzzebrs. What is prob of picking 2 b and 1 t?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1703487540.\nAnswer: 2, 3, 5, 3079, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19c9 (base 16) in base 4?\nAnswer: -1213021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347593620?\nAnswer: 2, 3, 5, 11, 526657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c + 18. Let j(m) = 5*m - 19. Let k(t) = -2*j(t) - 3*u(t). Let b(p) = -93 + 20 + 22 + 14 + 20 + 16. Calculate 12*b(y) - k(y).\nAnswer: -2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.9159 - -0.1741. Let z = j + -9.49. What is the smallest value in 4, z, -1.75?\nAnswer: -1.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 21. Suppose 4*s = -323 - 309. Let l = 246 + s. Calculate the greatest common factor of l and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/5 + (-109)\/(-5). Suppose -29*x + 40 = -i*x. Solve x*r - 5*j = -15 - 30, 4*j = 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 319*l - 9938. What is h(284)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**31*x*(x*x\/(x*(x*x*x*x**(-6)*x)\/x*x))\/x*x*x*(x**(-5\/4))**14)**26 assuming x is positive.\nAnswer: x**481","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 448104*u**2 + 55524*u?\nAnswer: 896208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4974*p - 35 = 4969*p, -2*g = -5*p + 17 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6 times -394?\nAnswer: -1812.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 smaller than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 44*d - 2. Let b(x) = -24*x + 1. Determine 5*b(u) + 3*j(u).\nAnswer: 12*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*p - 2*w = 160*p - 28, 2*p = -w - 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 23*a + 5 - 29*a**4 - 12*a - 20*a. Let l(w) = -7*w**4 - 2*w + 1. Let j(k) = -9*l(k) + 2*q(k). Find the first derivative of j(v) wrt v.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097542519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 10 - 104 = -i + 10, 752*i = 749*i - 3 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/4 - 1327*n**3\/2 + 1820429*n**2\/4 - 19584124*n + 19129680 = 0. What is n?\nAnswer: 1, 45, 1304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 119959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1127840\/57)\/70*16*6. Calculate the highest common factor of 53 and z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a**3 - 75*a**3 + 3*a**3 + 25*a**3.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 0*a**3 + 3 - 8 + a + 35*a**2 + a**3 - 9*a**2 in the form f*a + z*a**3 + i + b*a**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -178 - -365. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3388) - sqrt(112)*-1)**2 + (sqrt(224) + (sqrt(224) - (sqrt(224)*1*2 + sqrt(224))))\/sqrt(8).\nAnswer: -2*sqrt(7) + 4732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*t**3 - 5655862*t**2 + 10738*t + 3753 wrt t?\nAnswer: 84*t - 11311724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 122035 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.56193 to 1 dp.\nAnswer: -23.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/1000 + 61\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34735008 and 1680?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1140 and 6324055?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -913.1 - -1010. Let p = n + -97. Put p, 0.5, -0.5, -14 in descending order.\nAnswer: 0.5, p, -0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 567 divided by -1.\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300143 (base 6) in base 2?\nAnswer: 11100011111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/7614 and -29\/10.\nAnswer: 38070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554103558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, u: 4, t: 13}. Give prob of sequence tt.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - 0 - 0 - (88\/(-4) + -10). Solve -569*a = -563*a + q for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 15. Let p = -51 - -203\/4. What is the nearest to -1\/2 in r, p, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 163553833.8 nanoseconds?\nAnswer: 0.0000002704263125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 11. Let q be t(8). Suppose 0*y - 6*y = -1134. What is the highest common factor of q and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 22?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29, -103, -227, -401, -625, -899, -1223?\n\"Answer: -25*f**2 + f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3*h)**29\/(h**(-5))**(13\/6))**(-4\/3) assuming h is positive.\nAnswer: h**(-1522\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557878 is divided by 55787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 7*w**2 + 7*w + 11. What is j(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 7:23 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 85745 - 78986 = 3309. What are the prime factors of f?\nAnswer: 2, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/21 + 90\/(-35) + -4. Is 14 a factor of 195 + (9 + i - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -452*b + 4. Let v be p(-1). Let q = -261 + v. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*x + 3. Suppose 6*g - 6 = x*g. Suppose 163 = g*y - 61. What is the remainder when y is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 0.2, 64, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q*q*q*q*q\/(q\/(q**23*q))*q*q*q))\/q)\/q)\/(q*q**(1\/34)))\/(q**18\/q**21) assuming q is positive.\nAnswer: q**(-1021\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.11434m to millimeters.\nAnswer: 64114.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-3)*j)))\/(j\/j**(-10))*(((j\/j**(-10))\/j*j)\/j*j)**3)**(-1\/9) assuming j is positive.\nAnswer: j**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/38759379 and 63\/35132.\nAnswer: 155037516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 10) to base 6\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -123 greater than or equal to 2.62685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1\/72, 0.082, 5, 3\/4 in increasing order.\nAnswer: -19, -1\/72, 0.082, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is -6 <= -23154.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19095971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/7 + 8*s**3\/7 - 32*s\/7 - 32\/7.\nAnswer: 2*(s - 2)*(s + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, 3, -0.3 in decreasing order.\nAnswer: 5, 3, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 34 - 151 = 5*g, h - 45 = -3*g. Suppose -69 + h = 3*q. Let v(w) = -w**2 - 11*w - 6. Calculate v(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**5\/7 + 6554560*h**4\/7 - 2685134494968*h**3\/7 - 5370393526704*h**2\/7 + 40276978098012*h\/7 + 96665313749904\/7 = 0. Calculate h.\nAnswer: -3, 4, 819321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -3*h - 1\/20*h**5 + 0*h**2 + 1\/3*h**4 + 0 + 0*h**3. Find the third derivative of w(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*n**3 - 50659*n + 101316*n + 424*n**3 - 50657*n.\nAnswer: 695*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*s + 3 - 11, 18 = -2*w - 5*s. Let a(d) = 37*d**2 + 22*d - 22. Is a(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3027 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15697050?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -846358 divided by -20?\nAnswer: 423179\/10","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -182275876.\nAnswer: -3645517.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112110 - -1012?\nAnswer: -1111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s. Let i(j) = -6*j - 8. Let r(p) = i(p) - 2*v(p). What are the prime factors of r(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*w**3 + 33*w**3 - 13*w**3 - 4 to n + k*w**3 + p*w + z*w**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (-1 + sqrt(125) - sqrt(125)) - sqrt(125)) + sqrt(125) + -4 + sqrt(125)*2 - (((sqrt(125) + -1)*-3 - 2*(sqrt(125) + -1)) + 3))**2.\nAnswer: -630*sqrt(5) + 6206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -8*t**2 + 34*t + 338. Let r be q(9). What is the second biggest value in 0, 4, -0.09, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0171566056 to five decimal places.\nAnswer: 0.01716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2988*k**3 - 420*k**2 - 6*k - 23. Let f(a) = 2999*a**3 - 421*a**2 - 5*a - 20. Let t(j) = -6*f(j) + 5*y(j). What is the third derivative of t(m) wrt m?\nAnswer: -18324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s - 22. Suppose 14 = -34*k + 82. Let g be v(k). Put -0.02, -2\/9, 6\/5, g in decreasing order.\nAnswer: 6\/5, -0.02, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**2 - 1\/60*a**5 + 0*a**3 + 0 + 0*a + 1\/24*a**4. Let q be b(1). Solve -3*c + 6*c - 9 = q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.1, 13.26, -0.5, 1\/184 in increasing order.\nAnswer: -0.5, -0.1, 1\/184, 2, 13.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -391 - -405. Let m = 42 - 39. Solve -m*d + z - 12 = d, p = d + 4*z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5*r - 110, u + 194*r = 189*r + 26. Solve 0 = 4*j - 4*h + 5 - 9, -4*j - h = u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 0.1 (b) -2 (c) -1\/7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-504)\/(-98))\/((25\/25)\/(14\/(-3))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 x, and 2 t when four letters picked without replacement from {x: 7, q: 7, t: 2}?\nAnswer: 7\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -563 + 384.61581\nAnswer: -178.38419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.02958 to three decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.5 + -7. Sort o, -0.5, -0.3 in increasing order.\nAnswer: -0.5, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 4*b - 2*b + 142 - 142.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 1\/3, 607146?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o. Let d(c) = c**2 - c. Let g(h) = -b(h) + 2*d(h). Let v be g(6). Suppose -f + v = f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10481013 and 0.156.\nAnswer: -10481012.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3363*r - 3*i = 3360*r, -4*r = 4*i + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x = -4. Let z = -6\/62987 + 62999\/125974. Let g = -228 - -3878\/17. What is the third biggest value in g, z, x, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 3 + 0)*(1 - 2 + 3) + 0 + 1 - 5)*(2 + r - 2) as v + p*r and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 202 - 212. Let r = 467 - 477.34. Let f = g - r. What is f rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/12 + j**3 + j**2\/4 - 52*j\/3 + 16.\nAnswer: (j - 3)*(j - 1)*(j + 8)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 5140141061?\nAnswer: 5140141055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 3173*t**2 - 3176*t + 6348.\nAnswer: (t - 3174)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/483, -54, -0.9868 in decreasing order.\nAnswer: 2\/483, -0.9868, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6671 = 162*v - 635 + 6762 for v.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21973.2 - -21985.1193. What is w rounded to one dp?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -3*v**4\/4 - 392*v**3 - 114063*v**2\/2 + 232854*v + 96. Factor m(r).\nAnswer: -3*(r - 2)*(r + 197)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1201785*y**2 + 143061*y.\nAnswer: -2403570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1400048.00039 + 1400082. Let q = -0.024 + 34.024. Let j = q - a. What is j rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 + (-40)\/(-32) - 2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -4*o**3\/3 + 5*o**2 - 2. Let p(i) = -35*i**2 + 91*i. Let r(t) = 28*h(t) - 3*p(t). Find the second derivative of r(z) wrt z.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -696, -4, 7, 5, -6, 4 in ascending order.\nAnswer: -696, -6, -4, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 2. Let c be (-3 - -2)*(42\/(-9))\/(-7). What is the second smallest value in 2, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -21*k**2 + 2*k + 9. Calculate y(2).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 237, 236?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b - 2*b**3 + 0*b + (-4*b**3 + 6*b**3 - 3*b**3)*(4 + 1 + 0).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 101, 155, 213?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from hozeexzp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 129409\/(-2919) - -47*1?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 20 + 40. Suppose -q + w = 3*q. Let a(c) = -c**2 - c + 5. Let v be a(0). Sort q, 7, v.\nAnswer: q, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 0*g - 1 + 2*g**2 - 4*g + 12 - g. Let x(r) = 2*r**2 + r + 15. Let j(i) = i**2 + 7. Let y(c) = 5*j(c) - 2*x(c). What is -2*f(p) + 5*y(p)?\nAnswer: p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/(((-75)\/(-4))\/25)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(3))**2*-3 - -2*(sqrt(3) + 4*sqrt(147)).\nAnswer: -5 + 58*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 11*g + 300. Let i be o(-27). Solve 0 = -5*z - i*s + 15, -z + 7*s = 3*s - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 443 + -5751\/13. Let a = i + 41\/39. Solve -1\/3*n**3 - n - a*n**2 + 3 = 0 for n.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -10 + 2 + -9 + 0 + -68 + 79.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 15725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*w - 98633, -4*g - 4*w + 131528 = -5*w. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169120 divided by -2\nAnswer: -84560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7009, 14014, 21019, 28024, 35029, 42034?\nAnswer: 49039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 17. Let c(v) = 2*v + 8. Let d(i) be the first derivative of -3*i**2\/2 - 12*i - 41. Let q(x) = 7*c(x) + 5*d(x). What is q(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2287 + 21125?\nAnswer: 18838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l + 11*l + 9*l. Let j be f(1). What is the second derivative of 0*a - a + 8*a**5 + j*a**4 - 18*a**4 wrt a?\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*q - 37938903 = q - 70*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 8:56 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*b + 34. Solve 2*g**2 + 1\/2*g**b + 5\/2*g + 1 = 0 for g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3 - (-3 + 3)) + 206 + -208.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -2*d - 118. Let x = 266 + d. Let l = x - 80. Round l to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114654679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - -1*(-1 - 0). Let n(l) = l**3 - 5*l**2 + 8*l + 3. Let z be n(4). Suppose b*g - 5*g = z. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(108) + 2)**2 + -2 - (2 + (sqrt(108) - (sqrt(108) - sqrt(108)*-1)))).\nAnswer: 150*sqrt(3) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3730\/909 + -46672\/11817. Determine o, given that f*o**2 - 30\/13 + 4\/13*o = 0.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9612619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1744 divided by 8\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from euueu. What is prob of sequence ueuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21617*q + 21651*q + 136 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101101 - -11?\nAnswer: 101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 - 3345*i + 6670 = 0. Calculate i.\nAnswer: 2, 667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 29)\/4 - (52 - 1275\/25).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.1, 35, 0.\nAnswer: -1\/3, -0.1, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.321 or 2?\nAnswer: -0.321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/2 - 1274*n**3 + 25616*n**2 - 164224*n + 328704 = 0. Calculate n.\nAnswer: -2568, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 5*a**2 - 8*a. Let n be b(-6). Calculate the greatest common factor of 108 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15158 divide 6791072002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 513 - 4613\/9. Which is bigger: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 302*z**7\/105 - 3*z**5\/4 - z**4\/6 + 91*z**2 + 1. Find the third derivative of a(p) wrt p.\nAnswer: 14496*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142332526.\nAnswer: 2, 7, 10166609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 73 = s, -530*g + 532*g + 66 = 5*s for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**4 + 0*m**4 + 0*m**4 + (101*m**3 - 401*m**2 + 401*m**2)*(7*m - 3*m - 2*m) as u + a*m**3 + x*m**4 + i*m**2 + j*m and give x.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + 4)*3 + ((-3 + sqrt(117))*-5 - sqrt(117))**2.\nAnswer: -534*sqrt(13) + 4449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15185957 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-49710)\/(-58) + 4\/(-58)?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -142\/3. Let a = 4.7 + -5. What is the closest to 1 in 3, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -258*l - 87*l**4 - 913*l + 2*l**5 - 39*l**4 wrt l?\nAnswer: 40*l**3 - 1512*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 9309156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 13*s + 8 + 13*s - 10764*s**2 - 5.\nAnswer: -10764*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w + 4. Let h be j(0). Suppose 3*r + u = -2*r + 920004, r + h*u - 184016 = 0. Round r to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.78 - -14.98. Which is the closest to -5? (a) 4 (b) r (c) -2\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + h - 2, 2*j - 4 = -j - 2*h. Suppose j = 11*q - 110 - 143. What is the remainder when q is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 6 = -7. Suppose -4*b + 7*b - 24 = -2*v, 0 = 5*v - 15. Suppose 2*m + b = j, m + 2 = -3*j - 3*m. What is the remainder when j is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 914934426 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*x**4 + 28912*x**2 - 28*x + 64853891?\nAnswer: -40*x**3 + 57824*x - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5135 and 33970?\nAnswer: 441610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/5 of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240968067 by -80322689.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 1. Let w(f) = -2*f**2 - 2. Let r(u) = -5*h(u) + 2*w(u). What are the prime factors of r(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*v + 30. Let p = -14 - -23. Calculate the remainder when p is divided by -1 + 3 + v + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 7*v - 2*v)*(-2 - v + 2) + 9779078 - 317*v - 9779077 - 66*v - v**2 to z*v + y*v**2 + b and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/33815394 and -65\/432?\nAnswer: 270523152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1772 and 31077577.\nAnswer: 31077577.1772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34661615 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19\/8 + 151\/40. Calculate the common denominator of -17\/56 and i.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130958 divided by -65479?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27524954.\nAnswer: 2, 911, 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 10*i - 17, -2*i - 51142 = 4*p - 51104 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22756 is divided by 2521.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41351 - 0.06?\nAnswer: 41350.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103161 and 54969.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18576a07 - 0?\nAnswer: -18576a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/545)\/(2\/5). Let f = -117\/436 + h. Let t be 20\/25*(-1)\/6. Which is the third biggest value? (a) f (b) t (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 5*b + 4. Let l be x(2). Suppose 39 = -l*u + u. Let s = 39 + u. Solve s*v = 4*v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 153 + -140.2. Let t = -13 + y. Let i = 39 - 353\/9. Which is the nearest to 1\/2? (a) i (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 168, 2, 16, 0.2, 0, 0.3?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6983916, -6983971, -6984016, -6984045, -6984052?\n\"Answer: u**3 - u**2 - 59*u - 6983857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0963, -3\/17, -76, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -314 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46663108229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.533 to zero dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.06, 5, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/8)*o*o**10)**(-1) assuming o is positive.\nAnswer: o**(-87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 337*j**7\/105 - j**6\/40 + 569*j**5\/10 - j**2 - 5*j + 24. What is the third derivative of z(x) wrt x?\nAnswer: 16176*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 4. Let r be (40\/(-16))\/((-2)\/(-4))*-1. Suppose 5*x + 4*u - 8 = 0, 2*x - r*u - 19 = 4. Calculate h(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -12 - 6*u + 8 + 9*u**2 - 2*u**2. Is g(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(180) - (1*sqrt(30))\/sqrt(6))*-6 + 5.\nAnswer: -30*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 17 + 39 = 0. Suppose -a - 4*b + 88 = -b, 0 = 5*a - s*b - 478. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*x = -1632*x + 27692 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 2*b**2 + b**2)*(b**2 - b**2 + b**3) - 2*b**5 + 2*b - 2*b + (203*b - 201*b**3 - 203*b)*(-3*b**2 + 4*b**2 + 2*b**2) + 3*b - 3*b - 2*b**5.\nAnswer: -606*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5223 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2487328 and 380.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**2 + 18 - 18.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 135, 205, 275, 345, 415?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18\/(-6))\/((-33)\/3520)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 20*q**2 + 16*q + 37. Let n(o) = -o**3 + 8*o**2 - 5*o + 12. Let h be n(8). Let i = h - -9. What are the prime factors of v(i)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 9 = x - 7, -x = 3*n + 16. Let j be (-40)\/300*6\/n. Which is the smallest value? (a) 156 (b) j (c) 1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88*h**3 + 33*h**3 - 145*h**2 + 3*h**5 - 2*h**5 wrt h?\nAnswer: 60*h**2 - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-8)\/(-10))\/(3\/15) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3130 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -6. Let x = d - -1. Let s be x\/(-1) - -9 - -2. Solve -j + 5*t + s = 4, 3*j - 13 = t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/413 and -36\/295.\nAnswer: 2065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/1216 and -1\/112?\nAnswer: 8512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13327414 is divided by 216.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5111027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c. Let l(i) be the second derivative of -i**3\/3 + 18*i**2 - 43*i. What is g(l(p))?\nAnswer: 8*p - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 times -0.3\nAnswer: 0.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18162 (b) -3.1 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -2) + (-1 + -3 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(117) - (sqrt(117) + 1)) + 2 + sqrt(117))**2 - ((sqrt(78)\/sqrt(2) + sqrt(39))*2)\/(sqrt(48)*-6)) + 0 + -3.\nAnswer: 37*sqrt(13)\/6 + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b - 4*c = -6, 4*c = 4*b. Let y(z) = 11*z + 1. Let o(t) = 135*t - 55. Let p(l) = -5*l + 2. Let g(v) = 2*o(v) + 55*p(v). What is b*y(d) + 7*g(d)?\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1337*x = 1338*x - 1. Put 0, x, 21 in descending order.\nAnswer: 21, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8125699 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: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -1. Let d = 5 - b. Let r = -1.1 + d. Is 2 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9422.534 centuries?\nAnswer: 94225.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 4*x**2 + 2*x + 1. Let a be m(4). Suppose -144 = -5*h + 3*r, 4*r = 2*h + 2*r - 56. Let q = h - a. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -3\/4, -1, 20, -968\/15?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-30))\/(6\/(-84))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 1. Let y(f) be the second derivative of f**4\/4 + 7*f**2 - 325*f. Determine -2*g(u) + y(u).\nAnswer: u**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*h - 206*h + 116*h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477817*m - 1002 + 499 + 503.\nAnswer: 477817*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -401, -16, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5*((-57)\/38)\/(6\/4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -15, -163, -3\/2.\nAnswer: -163, -15, -3\/2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 16\/105*g**7 + 0*g**5 + 0 + 0*g**6 + 0*g**4 - 2*g - 47*g**2 + 49\/6*g**3. Differentiate l(d) with respect to d.\nAnswer: 128*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**1)**(-26)\/((q**0\/q*q)\/(q*q**(3\/8)\/q)) assuming q is positive.\nAnswer: q**(-205\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 255*l**2 - 1150*l**2)*(-2*l + l - l) to s*l**3 + g*l**2 + q + b*l and give s.\nAnswer: 2810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25 * -16\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.019 times -169470\nAnswer: -3219.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 157129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 266363\/2 or 133183?\nAnswer: 266363\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - ((-175343)\/(-14780) + -3). Let s = z + 10\/739. Find the common denominator of s and 36 - -1 - 1\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-20 + -2 - -34) + 0\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n + 195 = -173. Let x(a) = 5*a**2 - 48*a - 30. Is x(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.93206565 and 28.\nAnswer: 25.06793435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90449*w**2 - 4*w - 89952*w**2 - w to the form d + v*w**2 + h*w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3766, 5035, 7120, 10021, 13738, 18271?\n\"Answer: 408*c**2 + 45*c + 3313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**3 + 26*t**2 + 8*t + 6. Let u(z) = 4*z**3 - 17*z**2 - 5*z - 4. What is -5*o(c) - 8*u(c)?\nAnswer: -2*c**3 + 6*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 917 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 - 608\/(-224). Suppose 3*r = 8*r - 4*x - 596, -c*r + 3*x = -357. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*i + 3*k, 5*i + 29 - 116 = -k. Suppose 4*s = -3*p, 0*p - 20 = 5*p. Let b = s + i. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141237 by -27.\nAnswer: 5231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*h = 65, -2*k - 2*h = -0*k - 70. Suppose 24*y - 28*y = -k. Solve -3*u = -u - y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-7)\/91*-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 15 = -1. Let k = u + -18. Put 4, k, -4 in descending order.\nAnswer: 4, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v + 4 = 0. Suppose 392*g = 404*g - 24. Determine l, given that 11*l - v*l**3 + 2*l**4 + 1 - g - 3 - 6*l**2 - l = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 741879 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 c when four letters picked without replacement from {f: 14, c: 1, o: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**5 + 10*v**4 - 10*v**4 + 5 - 5 + v**5 + (0 + 2*v**3 + 0)*(2*v**2 + 2 - 2) + 0 - 2*v**5 + 0.\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(171)\/sqrt(3)*4)\/(-2*sqrt(9)\/sqrt(3)) + -2)**2*5.\nAnswer: 200*sqrt(19) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3088054?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2019 and 67\/196827.\nAnswer: 132464571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -82.4111?\nAnswer: 32.96444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 16) to base 14\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2673\/9882)\/(-2 - (-15)\/12). Let l = 227\/122 + y. Factor 3\/4*n - 3\/4*n**2 + l.\nAnswer: -3*(n - 2)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n. Let h = -706 + 1582. Let c(p) = -1755*p**2 + h*p**2 + 877*p**2. What is c(x(i))?\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4932671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**(-6\/13))*i*i*i**(7\/3) assuming i is positive.\nAnswer: i**(151\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -13915 + 13915 - 2*c**2. Let m(j) = -2*j**2 - 12*j**2 - 16*j**2. What is g(m(v))?\nAnswer: -1800*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56\/(-21)*54\/(-94). Let c = m + -3819\/376. Calculate the common denominator of c and 45\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Suppose -w*s = 3*s + 25. Let u(l) be the second derivative of l**5\/20 + l**4\/3 - l**3\/2 + l**2 - 11*l. Give u(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f - 28. Let x be y(8). Let o(g) = -2*g**3 - 5*g**2 - g + 4. List the prime factors of o(x).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*z - 21. Suppose 5*a - z = 3*x + 25, 0 = x - 3. Let f be (-16*a)\/(-4)*1. Calculate the highest common divisor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330100 (base 4) in base 2?\nAnswer: 111100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/11)*a**14)\/(a**(5\/4))**(-1\/29) assuming a is positive.\nAnswer: a**(17455\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - i + 1. Let d(s) = s - 1. Let v(b) = -d(b) - y(b). Let p(n) = 22*n**2. Determine v(p(g)).\nAnswer: 484*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/2 - 4. Let k = -171\/4 - -43. Which is the nearest to -4? (a) -4 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.9, -0.3, 1, -3\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + sqrt(112) + (0 + sqrt(112) - sqrt(112))**2 - (sqrt(847) + -1))*-2.\nAnswer: -2 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5\/8719 + 17453\/26157. Let p = 0.07 - -2.93. What is the third biggest value in p, -1\/4, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/119276781 and 163\/71070.\nAnswer: 1192767810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (34 - (-25 - -19))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 29*a - 1. Let m(d) = 61*d. Calculate m(j(u)).\nAnswer: 1769*u - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 17*l - 10 + 0 + 23 + 2*l**2. Let p be y(-9). Suppose 2*s + 6*a + p = 2*a, 0 = -4*s - 3*a - 59. Do -19 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -35441*b - 425310. What is h(-12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2606506098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epxmxexxqmm. Give prob of picking 1 x and 2 e.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/9 - 14*v**2\/3 - 80*v\/3 - 416\/9.\nAnswer: -2*(v + 4)**2*(v + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 5. Let h be w(6). Let n be 1\/(2*h\/(-4)). Let z(r) = r**3 - r**2 + r. Is 3 a factor of z(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141453 is divided by 1648?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 (base 7) in base 14?\nAnswer: -c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y = 3*o + 6, 82 = 11*o + 6*y - y + 300 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*c + 33*c + 4104 = 14*c. Solve l + 4 = -4*z, -4*l + c - 130 = -2*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-3*(sqrt(6912) + 1))**2 - (4 + sqrt(6912)*1)*-2)*-1.\nAnswer: -995480 - 13920*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -110111221022121 (base 3) to base 15\nAnswer: -8b5cbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by 95?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*i**2 + 4*i**2 - 12*i**2.\nAnswer: 79*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, k: 2, f: 1, t: 2, b: 2}. Give prob of sequence bbg.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1227 divided by 26742\nAnswer: -409\/8914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 - 78. Suppose 344 = -w + 5*w. Suppose 0 = 4*z + 3*y - y - w, 13 = 2*z - 5*y. What is the remainder when n is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82028?\nAnswer: 2, 20507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -12.\nAnswer: -12, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5445) - -2*sqrt(5445))*-2)\/((sqrt(18)\/sqrt(2) + sqrt(9))*1 - (sqrt(36) - sqrt(576))).\nAnswer: -33*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13626?\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 201486, 402976, 604468, 805962, 1007458?\n\"Answer: n**2 + 201487*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 7*o + 9*o + o**2 + 0*o**2)*(-1 + 5*o**2 + 1) as k*o + g*o**3 + s + m*o**4 + p*o**2 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 11:31 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k = 32. Let w be (-54)\/k + (-6)\/8. Solve 2*f + w = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3104037381.\nAnswer: 3, 23, 44986049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 44\/125 (c) -1 (d) 0.81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10046976 and 5064?\nAnswer: 10046976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -60*h**3 - 12*h - 4. Let a(r) = 57*r**3 + 11*r + 4. Let p(u) = 5*a(u) + 4*d(u). Find the second derivative of p(j) wrt j.\nAnswer: 270*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24270 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 144*p - 2535*p - 162*p + 239*p - 2253*p + (-p - 3 + 3)*(1 - 1 + 2) + 3 - p - 3 in the form n*p + v and give n.\nAnswer: -4570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -13*h**5\/20 + h**3\/6 + h. Suppose 15*b - 72 = -3*b. Suppose -b*j + 12 - 8 = 0. Give m(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 = 31. Let c = s - -46. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 + 6*p + 2*p + 0 + 1. Is y(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and ((-30)\/2)\/((43\/126)\/(-43))?\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307287?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24703, 49054, 73405, 97756, 122107, 146458?\nAnswer: 170809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*h + 145 + 534 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 188594 less than or equal to 188593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 22 = -2*v, 3*v - l - 1 = -5*l. Let q = 17 - 10. Which is the smallest value? (a) v (b) q (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 14703.68ng?\nAnswer: 0.01470368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2568 = -d - 3*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54345233454 + 3?\nAnswer: -54345233451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + 48 - (0 - (0 + 0))) + 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28205632 divided by -37\nAnswer: -28205632\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u + 6. Let s be i(-4). Suppose s = 6*z + 6. What is the lowest common multiple of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.15*-0.065225.\nAnswer: -0.59680875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 9:23 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/21? (a) 0 (b) 2 (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 4*w - 7*w)*(-2 - 3 + 3) + 2*w + 0*w - w - 39*w + 99*w + 61*w.\nAnswer: 134*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-4))\/(13\/26). Suppose 0*t + t = -2. Let p be 1 - (-2 + 5 + t). Put p, j, 5 in ascending order.\nAnswer: j, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -12) + 24 - (21 + -2 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -52. Suppose -67 = -h*y - 3*o, 150 = 5*y + 4*o - 0. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 2*b**2 + b - 4. Let s be k(-3). Let w = 4 - s. Solve -y - 3*y + 2*q + 10 = 0, w*y - 4*q - 2 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 3 - 45 + 93 - 3*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/344, 60, -1, -2\/23?\nAnswer: -3\/344","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4*y**2 - 2)*(y**2 + 0*y**2 + y**2)*(19 - 1 + 103) in the form b*y + p + u*y**2 + v*y**3 + k*y**4 and give k.\nAnswer: -968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5\/8 (b) 616 (c) 543\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.041 and 829.\nAnswer: -33.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1430 and 1222.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 20*j = -12. Suppose j*o - 14 = 13. Solve -2*w = w - o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 272760545 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-12 + 0)*(2 - 10). Suppose b*c + c - 5*o = -42610, 2*o = 2*c + 28404. Round c to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -196 - -198. Suppose 5*n = o + 45 + 40, 2*o + 34 = u*n. Calculate the greatest common divisor of n and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.5 * -1.66.\nAnswer: 9.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 610501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-2)\/(-4) - 14. Let l be s\/20 - (-36)\/10. Solve -2*z - d - 6 = 0, -3*z - 11 = d - l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*s**2 - 2935295*s + 18747996.\nAnswer: 10*s - 2935295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 4*x + 10 = 0. Let a = 0.139 - 9.239. Let b = 9 + a. What is the second biggest value in x, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*x - 15*s - 54, 56 = -5*x - 4*s for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -42, -8\/17, 0.4?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from {v: 2, r: 3, g: 6, n: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648280121.\nAnswer: 648280121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/46*10 - 1. Suppose 0 = 5*s + 2*m + 63, -51 = 5*s - 0*m - m. Let a(k) = k + 11. Let u be a(s). Which is smaller: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 1*4\/(-2). Let x(n) = -31*n + 2. Let v(a) = 1. Let k(y) = -3*v(y) + x(y). Is 10 a factor of k(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*q - 8*k + 6*k, 2*k + 14 = 0. Let h be -2 - -3 - (0 - 608). Suppose 3*s = z + 594, -3*s + q*z - 27 = -h. List the prime factors of s.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511 + (2 - 3) + -5?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/50 - (-96)\/(-15) - -108. Which is greater: 104 or a?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 177 + -173. Let d(v) = 21*v - 603. Let q be d(29). Solve -5*w - 21 = -2*p - q, -5*p - 5 = -j*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -12. Let p = t - -5. Suppose 0 = z - 2*b, -3*z + 4*b + p = 3*b. Solve 2*v + 4 = z*w, 0*v = 3*v + 4*w - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventeen halves of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0.7. Let l = 5.453 - 0.453. Let r = -0.27 + 0.2. Which is the third smallest value? (a) r (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -405\/211?\nAnswer: -405\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 13*p**2 + 19*p - 11. Determine g(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, j: 2, v: 4, p: 1}. Give prob of sequence bp.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 382 and -5.\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 + 0*m**3 + 5*m**3 + (-17*m**2 - 172*m**2 + 28*m**2)*(-m + 3*m + 0*m) in the form a*m**3 + r*m + c*m**2 + w and give a.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 + 2294*c**2 + 274190*c + 2741178 = 0.\nAnswer: -1013, -123, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x*x**(-1\/3))\/x)\/x)\/x)\/x)**(-49)\/(x**(-1)\/(x*(x**(2\/13)\/x)\/x*x*x)) assuming x is positive.\nAnswer: x**(6454\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*m = 3*w - 5, 5*w - 4 = 4*m. Suppose 4*v = 5*p + 77 - 83, -2*v = -5*p + 8. What is r in 0 + w*r - 1\/6*r**3 + 1\/6*r**p = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 149609 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*l = -732, 5*d - 3*l - 198 - 719 = 0. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4542.99996844 - -4543. Round p to six dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**4 + 0*l**4 + l**4)*(-258 - 126 - 118) to the form z*l**2 + a + o*l**4 + u*l + j*l**3 and give o.\nAnswer: -1004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 4*a + 2*a)*(170*a**3 + 101*a**3 - 113*a**3)*(a - 4*a + 5*a).\nAnswer: -1580*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -436 - -467 - (19 + -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/59300 and 127\/950.\nAnswer: 1126700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*s - 223373 = -69*s + 4190368. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -145288.\nAnswer: -1598168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 31. Let m(w) = w + 9. Let b be m(s). Suppose b*c = 10, -9*o = -5*o - 5*c - 118. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from txxftvdvdxkxxtt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74144 and 304?\nAnswer: 1408736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (61\/36 + 20\/(-16))\/((-4)\/2). Let l = -2.1 + 2. What is the closest to 2\/159 in p, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -2\/23 (c) 9 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*d**3*m**2*u**2 + 3993*d**3*m*u**3 - d**2*m*u - 13916*d**2*u**3 + 2*d*m**2*u**2 wrt d?\nAnswer: -360*m**2*u**2 + 23958*m*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 46*t**2 + 968*t + 52. Give j(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -5. Let w(a) = -a - 2*a**2 - a + 6*a - 3 + 2*a + a**3. What are the prime factors of w(k)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 338 - 343. What is the fourth biggest value in 4, 5, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32805 and 3060.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -32311 at most as big as -32729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2 (c) -2\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 1\/5 (b) -11 (c) 5 (d) -0.6 (e) -3\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 13936.806 to the nearest 10.\nAnswer: 13940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*g + 588 + 420, 3*i + g = 604. Is i a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23116981 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54\/25 + 19\/25. Is w at most 2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 - 3352.\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 25025 = 4*b, -100028 = 193*z - 197*z + 4*b. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -27*p + 548. Solve -4*v - 16 = -0*v, -5*v - p = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0068 - -64\nAnswer: 63.9932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*p + 101085 - 346983 = 4*p. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 527 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, t: 3, a: 2, w: 1, f: 2}. What is prob of sequence ftj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - r**2 - r + 1. Let g(i) = -9*i**3 - 4*i**2 - 4*i + 4. Give g(o) - 4*s(o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 8*q + 5. Let n be h(-8). Solve n*v - 11 = -36 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 16 = 0, 2*q - 4*t = -2*q - 40. Is (-2)\/1*669\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3900))\/(sqrt(21)\/(sqrt(7)*1)).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1*h)**(1\/13) assuming h is positive.\nAnswer: h**(3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -242*f**5\/5 - 661*f**4\/6 - f - 785. What is the third derivative of u(s) wrt s?\nAnswer: -5808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1075*g + 1079*g + 3*v + 42, 3*g = 3*v + 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 83697.08 decades?\nAnswer: 836.9708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:51 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(1*(-4)\/80)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*m**4 + 259390*m**3 - 64*m + 755079.\nAnswer: 600*m**2 + 1556340*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*j + 87 = 0, g - 16446*j + 16449*j - 15 = 0. Let n = 131\/2 + -30. Is g <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2 (b) 1\/6 (c) 257 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-23 - (-43 + 57)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -45*s - 2721. Let d(j) = -34*j - 2721. Determine -4*d(z) + 3*p(z).\nAnswer: z + 2721","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 25*v**2 - 33*v - 16. Let f(j) = 12*j**2 - 16*j - 9. Let h(a) = 13*f(a) - 6*r(a). What is the least common multiple of 36 and h(-3)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -3. Let l be ((-3)\/(-18))\/(21\/(-12)). What is the second smallest value in l, 1, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from jhabmbasbjmbb?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 526, 1309, 2378, 3895, 6022?\nAnswer: 8921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22370683 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**3 - 3833471*r**2 + 3673865393264*r + 18369422803220 = 0.\nAnswer: -5, 1916738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1233?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -17*b**3 + 4*b**2 - 3*b - 3. Is d(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14621*i = -14624*i + 36 + 66 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3960)\/(-450)*15\/6. Suppose 0 = 2*p - 69 - 195. Suppose 5*g - p = g. Solve -3 = -5*w + 5*v - g, 4*w + n = 2*v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 486700104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - q + 49 = 0, -5*r - q = -3*r - 33. Solve b - 4*s - r = -0*s, 4*s + 12 = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*i + 62. Let n = i - 58. Find the first derivative of 3*s + 2*s - 5*s - 2 - 10*s**n wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6956.\nAnswer: 2, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -110594952 rounded to the nearest 10000?\nAnswer: -110590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -390, -1162, -3082, -6726, -12670, -21490, -33762?\nAnswer: -50062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 19, 1\/4, -3, -1\/3, -11\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408690553.\nAnswer: 67, 6099859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aavaavaaaa. What is prob of picking 2 a and 1 v?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(75)\/sqrt(3))\/(2*sqrt(500)).\nAnswer: -3*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1132087, -4, 37?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 plus 0.37884231?\nAnswer: 9.37884231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/5 (b) -27 (c) 1949\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, d: 2, v: 7}. Give prob of picking 2 o.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -14*o**3 - 3*o + 3. Let i(g) = -518*g**3 - 112*g + 112. Determine 3*i(h) - 112*t(h).\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftfutzosutf. Give prob of picking 1 s and 1 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 2*(sqrt(76)*1 + sqrt(76)))\/sqrt(4) + 3.\nAnswer: 3 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**3 + 894*f**2 + 25264*f - 212. Calculate j(-26).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*4\/(-40))\/((40\/10)\/(-128)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 9046 - 9046.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003415 to seven dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + -3311?\nAnswer: -3240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3*y - 12 = 0, 2*y - 12 = -5*s + 5*y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02626924780166 plus 9?\nAnswer: 8.97373075219834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 789.0646 + -789. Let y = 0.9354 + o. What is the closest to 3\/5 in 4, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 22*r - 71. Suppose l + 5*a - 56 = 0, r*l - 240 - 64 = -a. What is the remainder when l is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -68, -71, -66, -47, -8, 57?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1201, -4821, -10721, -18793, -28929?\n\"Answer: 18*x**3 - 1248*x**2 - 2*x + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 9:08 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**3 + 268*d**2 + 87*d - 174. Let i be a(-89). What is the fourth smallest value in i, -13, 0.06, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115875 and 1575?\nAnswer: 811125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1826 - 735. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 14*h**2 - 12*h - 3. Let o be s(13). Suppose 0 = -2*b + 12*b + o. Put 3, 0.5, b, -2 in descending order.\nAnswer: 3, 0.5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1214, 3982, 5 in increasing order.\nAnswer: -1214, 5, 3982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -17*l**6\/30 - 7*l**5\/10 + 149*l**4\/4 + 44*l + 1. Find the third derivative of b(s) wrt s.\nAnswer: -408*s - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511 = -2*w + 497 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6389?\nAnswer: 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(2 + (-6 - 34\/(-9))). Suppose -2*r + 9 = b. Factor -7\/4*m**2 + 0*m + r - 1\/4*m**3.\nAnswer: -m**2*(m + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**3 + 14262*o**2 - 14263*o = 0.\nAnswer: -14263, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z\/((z**(-1\/3)*z)\/z*z)*z*z*z*(z**(-40)*z)\/z*((z\/((z*z\/(z\/z**(13\/4)))\/z))\/z*z)\/z*z**(-17) assuming z is positive.\nAnswer: z**(-659\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 2*g**2)*((g**3 + g**2 - g**2)*(2 - 2 + 3) - g**3 + g**3 - g**3 + (g**2 - 4*g**2 - 3*g**2)*(4*g - 5*g + 3*g)).\nAnswer: -20*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 0.342.\nAnswer: -3.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 10*h = -46 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -6, -1, 3, -11, 4 in decreasing order.\nAnswer: 4, 3, -1, -6, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10747, 76 in descending order.\nAnswer: 10747, 76, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-7)\/3 - (-1)\/(-3). Let k = 34 - 36.8. Let u = 3 + k. What is the smallest value in u, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357?\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + g + 30506 = -113913, -5*g - 57786 = -2*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -166 + -43. Let g be (c\/(-22))\/((-2)\/(-4)). Suppose 0 = g*y - 0. Round y to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 532*x + 121216\/7.\nAnswer: -2*(x - 32)*(x + 1894)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005123142 to 5 dps.\nAnswer: -0.00512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (22\/8)\/(4351\/(-1444) - -3). What is the nearest to 2 in m, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.6 - 2.5. Let o = v + 4.9. Let y = 1 - 0. What is the nearest to -1 in o, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 + 113. Suppose -h*l = -8*l - 6. Solve -4*f + l = 4*b - 11, -15 = 3*f - 5*b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -2.0376955\nAnswer: 4.075391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*a + 8*a + 3432. Calculate the greatest common factor of 33 and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 137 = w - 100, -3*i = 5*w - 1275. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -209*n - 1. Let v(m) = 208*m + 1. Let f(o) = -6*h(o) - 5*v(o). Let i be f(-15). Let g = i - -4512. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/24 - (-135)\/(-696). What is the nearest to -1\/2 in 5, 4, t, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 8:51 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.604716101 to 5 dps.\nAnswer: 0.60472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893387989.\nAnswer: 13, 3727, 18439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3 = 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091808 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -202*l - 8676. Let c be b(-43). Let o be 4\/14 - 38\/(-14). Solve -c + 1 = o*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + -109. Let i = -81 - d. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 10 = -2*d, 3*d + 3*f - 5*f - 1 = 0. Solve 3 = m - 2*m + i, -m + 5 = d*i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(((c*c*c**(-1\/3)\/c)\/c*c)\/c)\/c*c*c*c*c**11*c*(c*c**0*c)**(-21) assuming c is positive.\nAnswer: c**(-82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 21 = -5*z, -6*j = -3*j + 2*z - 3. Solve d = -5*y + 3*d - 11, -3*d - 15 = j*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -37*p - 643. What is the remainder when j(-25) is divided by 92?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from cddccdcccdccd.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37468 - -37453. What is the third smallest value in 3, -1.2, 2\/11, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13 + -418.\nAnswer: -418.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89\/5 + 202\/15. Suppose -3*h - 469 + 464 = -2*s, 5*s + 16 = -2*h. Which is bigger: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) + 555\/(-9). Let z = n + 96. Suppose y = 3*y - z. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + t - 8. Let k(b) = 34*b - 4 - 55*b + 10*b + 3*b + 9*b. Calculate -5*k(s) + 3*q(s).\nAnswer: 3*s**2 - 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-6)*2\/(-3). Let r be x\/3 + 8\/3. Determine o so that 5 + 6*o + 12*o**2 + 2*o**r + 11 + 18*o = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11594634 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4032 (base 5) to base 6.\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2 - 89*f + 51. Is 70 a factor of y(33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*s**2 - 2*s + 5048 + 0*s - 5048.\nAnswer: 58*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*v + 27, -2*v = 3*v + 5*s - 65. Calculate the remainder when 49 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**2\/2 + 5*u + 213. What is q(-11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-2)\/37) + 2. Calculate the highest common divisor of 26 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -75459.2.\nAnswer: -377296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*d + 148*d - 651*d as j + c*d and give c.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126 + 13*p**2 + 2*p**3 + p**2 - 124 to the form b*p**2 + h*p**3 + c*p + u and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24885.\nAnswer: 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7748*y - 5084*y - 60010 = -9338*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4071110633820 - 4*z**2 - 4071110633820.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1106400 or 1?\nAnswer: 1\/1106400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/2 + (-5)\/(-1) - 1. Suppose 0 = k - 22 + g. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -2\/7, 0, -8.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.7 (b) -4 (c) 0.3 (d) -0.25 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -203, 1, -1, 4, -3 in descending order.\nAnswer: 4, 1, -1, -3, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10190153*d**4 - d**2 - 328*d - 50840?\nAnswer: 122281836*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -34 + 5 - ((27 - -5) + -27)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 316704378 and 13927?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - -15) + -36 + (5 + 0 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*l**2 - 1621*l - 500507.\nAnswer: -6*l - 1621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 + z - 1. Let b be (14 - -1)\/(-5) - -4. Calculate o(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 + 92*p - 1197. Give t(16).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -3 (b) 18 (c) 1\/4 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1366897 or 1?\nAnswer: -1366897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 2388?\nAnswer: 11940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7810 is divided by 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 298442370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 234*q**3 - 2*q**2 + 19*q - 4. Let t = -184 + 187. Is v(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -22, -21?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27792 (base 10) to base 3.\nAnswer: 1102010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-25 + (12 - 3) - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxvd when four letters picked without replacement from vyvvvyxlldvlv?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(4))\/sqrt(5) + -1.\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a factor of 4253962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6*-3)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -394 divided by 5009\nAnswer: -394\/5009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18147 divided by -6049?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3769, -15031, -33801, -60079, -93865, -135159?\nAnswer: -183961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 - 4)*(-5*r + r + 3*r) + 3*r - 2*r - 2*r)*(5 - 4 - 2 + 26 - 2 + 0 + (-2 + 1 + 3)*(-2 - 5 + 5)) in the form u*r + m and give u.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810306564.\nAnswer: 2, 3, 17, 3972091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.2 + -36. Suppose -5*h - 3*w = -5*w + 56, w + 26 = -2*h. Let k be (-2)\/(-3)*18\/h. Which is the closest to 3? (a) -0.4 (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2\/8 + 11*c\/2 - 57\/2 = 0?\nAnswer: 6, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/3 - 69332*s\/3 - 23112.\nAnswer: 4*(s - 17334)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14472208679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3.2. Let u = -12 + 4. Let a = u - -8.3. What is the nearest to -1 in 4, v, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/20 + -5)\/(52\/10)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626344507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1251 - 556. Let k = a - 625. Let u = 30 + -16. Calculate the highest common divisor of u and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*q - 1300 = q + 51*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from pgapnanpgnnpnnaanap.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 213990 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29317*h + 29317*h - h**2 - 652)*(-3*h + 3*h - 2*h) to p*h**3 + o*h**2 + b + y*h and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*b + 103*b + 104*b + 98*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1130 - 1116 = -o + 4*h, -o - 5*h + 22 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2035591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6113*f + 42791. Calculate w(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -210.6 + -26.4. Let v = g + 234. Let c = -3.06 - -0.06. What is the nearest to v in -2\/3, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x**2 + x + 1. Let a(g) = -36*g**2 - 5*g - 5. Let d(z) = 2*a(z) + 9*j(z). Suppose -2*q - 2 = -4*p, -5*q + 7*q + 9 = -3*p. Is 3 a factor of d(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.124816 months in centuries?\nAnswer: 0.01427068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4135\/851 - -183\/37. Which is smaller: o or 157?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 310\/30 - (-2)\/3. Suppose -566 = -s + 4*o, x*s + 3*o = 10*s + 594. List the prime factors of s.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t + 10. Let f(x) = 2*x + 8. Let l(o) = 5*f(o) - 3*u(o). Let a(g) = -4*g. What is a(l(y))?\nAnswer: 8*y - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -322 - -336. Solve -19 + r = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29813*v**4 - 3*v**2 + 415 wrt v?\nAnswer: 715512*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {v: 1, k: 1, f: 1, d: 1, p: 2, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 49 = 4*u. Calculate the common denominator of 19\/30 and 3\/(-4) + (-26)\/u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 802686 (base 9) in base 6?\nAnswer: 14100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b + 15. Let t = -381 - -372. What is l(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 954 divided by 6\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 971*t + 17423. What is a(-18)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*i + 27 = 5*f, -5*f + 111 = -3*i. Let r be (i\/15 - -1) + 10\/5. Which is the nearest to -0.1? (a) r (b) 5\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/14)\/(25\/(1575\/(-162))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - ((0 + sqrt(396) - sqrt(396))*6 - sqrt(396)))*4*-6 + 4 + 1*(sqrt(396) - ((0 + sqrt(396))*-5 + sqrt(396))))**2.\nAnswer: -2064*sqrt(11) + 732220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**7\/840 - l**6\/72 - l**5\/20 - l**4\/24 - l**3\/6 + l. Let i(o) be the second derivative of b(o). Calculate i(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019350\/270 + (-1 + (-38)\/(-9) - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*c = 112284 - 116872 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 18*l + 32. Let w be 4\/22 + (l\/(-22) - -2). Solve q - 3*q = -w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, a: 1, f: 6, w: 1, u: 2, q: 1}. Give prob of picking 1 u and 1 w.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*x + 117*x - 30*x.\nAnswer: 31*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 61, -10, -4, 0.1, 3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 6:27 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4 = 0, 2*p - 2*x - 5 + 15 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33760 is divided by 3749?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 638400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 5 + -7 + 5 + 10 - 21.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15718.317 minutes in hours?\nAnswer: 261.97195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370*i = 369*i - 6. Let m(w) be the second derivative of w**4\/12 + 4*w**3\/3 + 7*w**2 + w. Let v be m(i). Solve v*b - 2 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4979 is divided by 4852?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -947*a - 5574 = 10525 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.006905911 - 37.\nAnswer: -36.993094089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3445*l - 4098*l + 2145*l)*(-l + l**2 + l).\nAnswer: -5398*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 466517 = -5*z, 0 = 4*z - 2*u - 113924 - 259316. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*w - 36*w = s, 3*s + w = -5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 7. Let t be m\/2*2*1. Does 9 divide 8 + 2 + t\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + j + 1073 + 428, -5*j = 5*x - 7545. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191245 is divided by 1794.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.176339875 and 24797.\nAnswer: 24797.176339875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11\/36 + 1\/36. Let s = -52.5 + 47.5. Which is the second smallest value? (a) s (b) t (c) -0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a + 4?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68210578 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65065\/(-11154)*6\/20.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3 + 468*z**2 + 1860*z + 1856 = 0. Calculate z.\nAnswer: -464, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 58299433504891 - 6*i**3 - 58299433504891 - i**2.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1032 and 774.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20618 and 366?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -45, -47, -49, -51, -53?\n\"Answer: -2*p - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-2))\/((20\/(-8))\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34556142, -34556141, -34556138, -34556133, -34556126, -34556117?\nAnswer: -34556106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u + 43. Let q be p(10). Suppose w - 2 = -3*x + 10, w + 8 = 2*x. Suppose w = 3*c - 4*c - 4, -2*n = 5*c + 14. Solve -q*h - 3 - n = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.3 + 16. Let g = -1.3 - b. Let r = 1 + 0. What is the nearest to g in 0, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-12)*(-3)\/(-7). Let d = 370.58 - 370.5. Is c bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 15 = -s, 5*s = -5*i + 84 - 109 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -35\/12*d**4 - 740\/3*d**3 - 6*d - 210*d**2 - 5. Factor x(h).\nAnswer: -5*(h + 42)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (4 - -12))\/((-2)\/1119)?\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18845, -18895, -18943, -18989, -19033?\nAnswer: -19075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -10101111?\nAnswer: 10101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 9 + 6*k)*(4 - 4 - 1)*(-3*k**2 + k**2 + 4*k**2) to the form s + u*k + g*k**3 + y*k**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/4*82\/123. Let s(b) = 9*b - 7. Let w(z) be the first derivative of 3*z + z**2 - 4*z**2 + 2 + z**2. Calculate f*w(j) - 2*s(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 17*b + 5. Let f(h) = 4*h + 1. Let v(y) = 5*f(y) - o(y). Let c(i) = -6*i**2. What is v(c(a))?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*u - 3*u + 3, -5*u - 20 = 0. Calculate the smallest common multiple of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54373.\nAnswer: 11, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 439956875 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5131*v**2 + 7350*v wrt v?\nAnswer: 10262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - l - 64. Let p be n(9). Solve p*v = 6*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 948.0962 kilograms to nanograms.\nAnswer: 948096200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**3\/18 + 263*d**2 - 415014*d - 3520. Factor x(m).\nAnswer: -(m - 1578)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30736 (base 12) to base 2\nAnswer: 1111011100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 562097, 1124317, 1686539, 2248769, 2811013, 3373277, 3935567?\n\"Answer: y**3 - 5*y**2 + 562228*y - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 7*g - 6*g. Is (-10)\/g - (21525\/(-27) + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*t**5 - 39*t**4 + t**2 - 78 wrt t?\nAnswer: 360*t**2 - 936*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*u + 156, 3*l - 8*l - 3*u + 759 = 0. Let f = -246 + 143. Let d = l + f. What are the prime factors of d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: -97003746 divided by -18\nAnswer: 5389097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171351594.\nAnswer: 2, 3, 9519533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -680*o + 64603. Let s be u(95). Let a = 3\/35 + 23\/140. Factor a - 1\/4*b**s - 1\/4*b**2 + 1\/4*b.\nAnswer: -(b - 1)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 3.01\nAnswer: 0.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*n**2 + 2228*n**2 - 1729*n**2.\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 5*h + 35. Let w be d(7). Let b(k) = -k**2 + 28*k + 29. What are the prime factors of b(w)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31343535 + 21?\nAnswer: 31343556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 - -0.3. Let o = 15761 + -15751. Is o bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**2\/5 + 39504*v\/5 + 355779\/5 = 0?\nAnswer: -9, 13177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/4*(-48)\/(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*68.2832\nAnswer: 12.973808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4623 = -13*j + 4662. Put 5, -3, j, 2, 19 in ascending order.\nAnswer: -3, 2, j, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, -1, -3717, -3 in increasing order.\nAnswer: -3717, -3, -1, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1428*r**2 - 5 + 1431*r**2 - 2855*r**2. Let x(j) = 3*j + 5. Let m be x(-7). Let l(z) = 12*z**2 - 16. Calculate m*g(b) + 5*l(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -95 + 5*q**2 + q - 5*q - 6*q**2 - 3*q wrt q?\nAnswer: -2*q - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 18*w + 11. Determine y(9).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22403 and 559?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 68. Solve 0 = u + j*b - 9, 4*b = -2*u - 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**2 + 2*p - 2*p)*(-1 + 6 - 3)*(-9*p + 30*p - 2*p) + p**3 + 0*p**3 - 2*p + p**3 in the form b*p + t*p**3 + l*p**2 + z and give t.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -1352?\nAnswer: 1357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -3. Let p = -179664\/7 - -25666. Let t = -3.5 + -0.5. Which is the smallest value? (a) p (b) o (c) 0 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -58. Sort -4, o, 1, -7.\nAnswer: -7, -4, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/22 + 0)*(808\/30 - (-3213)\/(-119)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - k + 30. Suppose -5*c = 2*j - 24, -2*c = 3*j - 2*j - k. What is the third derivative of -2*q**c - q**4 + 21*q**2 - 19*q**2 wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfj when three letters picked without replacement from oovoooyyfyjovfyojoyy?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: (-27)\/3 - (-68)\/17\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3862913 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/5))**(-5)*((i*i\/(i*i\/((i**(2\/3)*i)\/i)))\/i)\/i**5)**(2\/17) assuming i is positive.\nAnswer: i**(-50\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26787624763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/25, 0.7 in decreasing order.\nAnswer: 3, 0.7, -3\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 12\/11 + 2\/11*m**2 - 14\/11*m = 0?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 1. Let b(l) = -28*l + 43. Let z(o) = -b(o) - 2*r(o). List the prime factors of z(7).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*z = 18, 3*h = -2*h - z + 12. Suppose -2*q = h*f - 4 - 3, 5*f = -5*q + 25. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 25*n**2 - 28*n + 57. Let o be k(26). Let l(s) = -s - 11. Let t be l(-17). Solve -25 = -i + o*a, 0 = -2*a - 2 - t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63? (a) 3\/2 (b) -2\/9 (c) 6 (d) -80 (e) -2\/63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 2*m - 6, -4*o + 2*m = -0*m + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - k**2 + k. Calculate s(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2*(-8)\/6. Let u = x + 7. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -3120714?\nAnswer: -3120705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Let h(p) = 0*p + 2*p**2 + 18 - 5*p - 14. Calculate h(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2772574 and 40?\nAnswer: 55451480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 29 = 5*n. What is the units digit of n\/20 + 126\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, -3, 23, 81, 183, 341?\n\"Answer: 2*g**3 - 2*g**2 - 2*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-222)\/(48618\/53655)*(-3)\/((-45)\/6)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 4960, -4, -2, 2, -5 in ascending order.\nAnswer: -6, -5, -4, -2, 2, 3, 4960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wvvwvvvvwvwvvvvvvvv?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 12*d - 125. Let y be v(11). Let s = -99 - -100. Which is the third smallest value? (a) 2\/5 (b) s (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -9*b + 5. Let i(m) = 10*m - 4. Suppose 4*q + 3*x - 2 - 2 = 0, -3*q - 2*x = -4. Let u(j) = q*o(j) + 5*i(j). Let d(g) = 3*g**2. Give d(u(p)).\nAnswer: 588*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73652 - -13?\nAnswer: 73665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-0.00616.\nAnswer: 0.0003696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 249779628 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2445*x - 8365 + 3261 = 2561*x for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2190662 is divided by 2154?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 406 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**3 + 0 + 2*d + 0*d**2 + 1\/12*d**4. What is the second derivative of j(k) wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*r + 23 + 163, 2*r = 5*s - 310. What is the remainder when s is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 16) in base 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, o: 11, a: 7}. Give prob of sequence oodo.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 3*y - 48 = 6*y, -2*y - 11 = -g - 21 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*m - 265 + 35 = 0. Sort 145, 0, 1, -10, m in increasing order.\nAnswer: -10, 0, 1, m, 145","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133715 is divided by 102?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11660643 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -30843 and -0.188705327.\nAnswer: -30843.188705327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -857, -1738, -2619?\nAnswer: -3500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53.5 and 1369.1?\nAnswer: 73246.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 - 9 - 3 - 2*r**2 + 2*r**2 + 4 + 6*r to the form d*r + a + i*r**2 + n*r**3 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -62188 * -5787\nAnswer: 359881956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/5926480 and -149\/40892712.\nAnswer: 408927120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 19*k - 165. Let f be g(29). List the prime factors of f + -21 - 1*3.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37424 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136454784 and 6528?\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 171, 334, 497, 660?\n\"Answer: 163*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286 and 53769287?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 317?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - x - 6 = 0, 5*x - 7 + 1 = 2*o. Let c(t) = -2*t + 1. Let v be c(o). Let k be (1 - -1) + 2 + 0. Sort 2, k, v.\nAnswer: v, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*m + 1. Factor m - 6 + 3 - o + o**2.\nAnswer: o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*l + 104. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*o**3 - 4051*o**2 + 5*o - 9298571 wrt o?\nAnswer: -90*o**2 - 8102*o + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -87515046 divided by -2273\nAnswer: 38502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490902480.\nAnswer: 2, 3, 5, 681809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -887033*i - 97*i**3 + 887033*i.\nAnswer: -97*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5264 at least as big as 5264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1111 and -0.1.\nAnswer: 111.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t = 6465. Suppose -2*i + t = 2*c - 7*c, 0 = 5*i - c - 3290. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 4*p = -36. Suppose 3*g - g = -2*o + 10, -5*o + 13 = -g. What is the remainder when p is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12304 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*r**3 - 45311 + 22673 + 22638.\nAnswer: -92*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 9:56 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 13 = 3*a + 2*t, -26 = 2*a + 5*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -32*n + 4. What is the tens digit of s(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2. Let z(s) = 902210*s. What is n(z(r))?\nAnswer: -813982884100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18280 divided by 84\nAnswer: -4570\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2500, -2635, -3158, -4267, -6160, -9035, -13090?\nAnswer: -18523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 + 4. Let w(q) = -q**3 - 9*q**2 + 11*q + 10. Let f be w(-10). Determine z(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 1441.4.\nAnswer: 1442.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 5:57 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(6)\/sqrt(3)))**2 + (sqrt(7) + 0)*-5.\nAnswer: -5*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6318609, 6318601, 6318593?\nAnswer: 6318585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z - 8. Suppose 216 = y + 5*y. Calculate the greatest common divisor of z and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 13*o**2 - 13*o - 10. Calculate l(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - n**2 + 4*n**2)*(-n - 3*n + 2*n) + 0*n**3 - 819*n**2 + 816*n**2 + 4*n**3.\nAnswer: 2*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.429 + -1.429. Let w = -13 - -8. What is the second biggest value in -0.4, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*p**3 + 65*p**2 - 1039*p + 21195518 wrt p.\nAnswer: -42*p**2 + 130*p - 1039","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-94)\/((-2)\/413*49\/21). Let t be 34\/12 - 3 - j\/(-18). Suppose 3*d + t = 9*d. What are the prime factors of d?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 0 - 15. Suppose -x - i*x - 2*j = -48, 4*j - 18 = -2*x. What is the remainder when x is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 139. Let c be h(-13). Let n = c - 29. Solve -3 = 2*u - n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-33)\/(-18) - 1. Is 0 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/((-6)\/(-48)). Suppose 45 = j*r - r. Calculate the highest common factor of 12 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/13*(29 + 140). Let r(k) = 3*k - 24. What is r(w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*j + 8*j - 12*j - 25*j - 9*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, o: 1, a: 4, j: 2, q: 1, g: 6}. Give prob of picking 2 g and 1 a.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1513686.\nAnswer: 2, 3, 43, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-41)\/10*5\/(-2) and 2019\/(-504) - (3 + 38\/(-14)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 38 = 18*q. Let l(i) = i**3 + 6*i**2 - 3*i + 32. Let j be l(-7). Solve 5*y + j*u + 1 = 0, 2*y - q*u = -2*y + 32 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 1. Let w be p(0). Let y be (2 + 8\/(-9))*405\/(-675). What is the nearest to w in y, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1, 2, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27932 is divided by 63?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from ozozopomm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85 (base 15) to base 8.\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**5\/5 - 5*h**4\/2 - 125*h - 43. Find the first derivative of x(o) wrt o.\nAnswer: 4*o**3 - 30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3630 is divided by 1787?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*c**3*l**2 - 2*c**3 + 164*c**2*l - l wrt l.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4077677\/234 + -17426. Find the common denominator of v and -53\/6.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10169*c**2 - 1624*c**2 + 11602*c**2.\nAnswer: 20147*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112293?\nAnswer: 3, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 35 = 62*x - 30*x - 29*x, 2*x + 65 = 10*d + 7*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 14) to base 15.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 298.1 - 320. Let o = 1.4 + p. Let i = o - -5.5. Are 1 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/9 + 1072*v**2\/9 + 83258*v\/9 - 1959380.\nAnswer: 2*(v - 90)*(v + 313)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)\/sqrt(4) + (sqrt(2) - sqrt(8))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/5)\/w**10)**(-4\/13)\/((w\/(w\/((w**7*w)\/w)*w)*w**(1\/13))\/(w\/(w*w\/(w*w**(-1)*w)))**(3\/4)) assuming w is positive.\nAnswer: w**(-207\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2651 - -2.37\nAnswer: 2653.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - -0.04. Let z = -2.29 + -0.65. Let t = h - z. Which is greater: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2685 and 932073585?\nAnswer: 2685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/6*366\/(-4). Let z = m - 59. Let f be ((-16)\/6)\/(14\/z). Round f to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -818 - -4767. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 3:08 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (5 - -1 - (21 + -19)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v**4 + 624*v**3 - 2568*v**2 + 928*v = 0. What is v?\nAnswer: 0, 2\/5, 4, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2) + sqrt(6)\/sqrt(27)))**2.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7425827 or 0?\nAnswer: -2\/7425827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 5, 0 in descending order.\nAnswer: 5, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.645 + -0.355. What is the closest to 0.28 in -2\/17, q, 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -19 - -11) + 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 11. Suppose 25 = 5*m - v*g + 3*g, -2*m - 3*g = 15. Solve -b + 0*b = m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 75 + 4*g + 31*g - 180. Does 20 divide o(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + 15 + -3 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -24.98, -1\/3, 3, 0, 0.3, -1\/6, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, 4, 46, -0.2 in decreasing order.\nAnswer: 46, 4, 0, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 9 - 29, 3*h - 5*q - 80 = 0. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 45. Let s be 8\/44 - 48\/w. Let t be (1 + s)*(-99)\/9. Solve -1 + 0 = -4*h - 3*z, -4*h - z = -t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - n**2 + n + 82. List the prime factors of b(0).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89868, -89869, -89870, -89871, -89872?\nAnswer: -89873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9061? (a) 1\/7 (b) 0.357 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 1. Let s(o) = -o. Let q(v) = v + 2. Let d(m) = q(m) + 4*s(m). Let x(b) = d(b) - 4*p(b). What is the units digit of x(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:06 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7199236.71 rounded to the nearest ten thousand?\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u\/(((u\/u**9)\/u)\/u*u*u))\/u)\/u)**(1\/40)\/((((u*u**(-1\/19))\/u)\/u)\/((u\/(u\/(u\/u**(23\/3)*u)))\/u)))**(-21) assuming u is positive.\nAnswer: u**(10801\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 1\/3*n**3 + 4 - 3\/2*n**2 - n. Give v(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2 + sqrt(343) + sqrt(343))*5)**2 + (sqrt(63)\/(3*sqrt(36)) + 3)**2.\nAnswer: -1819*sqrt(7) + 1241215\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3039\/83 + -27185\/747. Suppose 0 = 5*h - 9 - 11. Let n = -0.7 + 0.3. Sort c, n, h in ascending order.\nAnswer: n, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -213, -245, -249, -213, -125, 27?\n\"Answer: 2*i**3 + 2*i**2 - 52*i - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 898, 3592, 8082, 14368, 22450?\nAnswer: 32328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**2 + 7*t**2 + 0*t**2 - 11*t**2.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-71 - ((-978 - -986) + -1 + -7))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3902189 to the power of 1\/2, to the nearest integer?\nAnswer: 1975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 769542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + b + 2. Let m be a(0). Let k = -2 + 2. Let u = 0 - k. Solve 2 = m*w - u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdfhjqjh. Give prob of sequence fdjm.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1378*q**3 - 76*q**2 + 78*q - 3. Give y(1).\nAnswer: 1377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 233673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 7*y**4\/4 - 3*y**2\/2 - 18*y + 155. What is the tens digit of p(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75289477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -3*c**7\/7 + 7*c**3\/3 + 9. What is the third derivative of j(b) wrt b?\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11*b - 36. Let z(f) = -3*f - 1. Calculate k(w) + 3*z(w).\nAnswer: 2*w - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -4, 12, 49, -9 in descending order.\nAnswer: 49, 12, 2, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 bigger than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 839256 - -4.\nAnswer: 839260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 31. Let r(j) = -j**3 - j + 1. Let g be r(t). Solve w - g + 2 = o, 2*w - o = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1 + v - 4 + 0 + 0. Suppose -138*z + 69 + 759 = 0. Give o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l = 21*l - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 6. Let y be n(-8). Let r be (2\/8)\/((-3)\/y). Suppose -t - 3*t = 0. Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 151 + -157. Calculate the least common multiple of 4 and (62\/w + 6)*6\/(-1).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6*(-24)\/4*1. Solve -5 = s*t - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*t + 31*t - 31356. Suppose 0 = -5*a + t - 152. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -q - 23*t + 24*t, 5*q + 5*t = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3607603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -185.9 + 186. What is the closest to 0 in 1\/8, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*s**2 - 310*s**2 + 254*s**3.\nAnswer: 254*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.7, 102, 5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1590*x - 1566*x + 3244*x = -3232 - 2048 for x.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**2 - 2*g + 170.\nAnswer: -8*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48762 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43 and -0.807.\nAnswer: -34.701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -614*c**3*h + 2*c**3 + 7*c + 71*h - 2 wrt c.\nAnswer: -3684*c*h + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*g + 75394 = 255*g + 23122. Calculate the least common multiple of 2376 and g.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 31*q**2 - 4*q - 2. What is the smallest common multiple of 48 and o(-1)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*d = -763956, l - 3*d = -d - 152788. Let g = -457792 - l. What is g rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2139*s + 658*s + 55589 + 4190 - 3501 for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*l - 8 = 5*u, 2 = -3*u - 2*l. Solve 2*a = 4*f - 14, -2*f + 0*a - u*a = 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 3. Let f(x) = -4*x - 6. Let b = -511 - -516. Determine b*c(k) - 3*f(k).\nAnswer: 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/19 + 188*p**2\/19 - 2*p\/19 - 188\/19 = 0 for p.\nAnswer: -94, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7 = -5. Put v, -5, 1 in decreasing order.\nAnswer: v, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**36\/(y**13*y))\/((y*y\/(y\/((y*y\/(y*y*y**(-3\/26))*y)\/y*y)))\/y*((y*(y**(-5\/11)*y)\/y*y)\/y)\/y) assuming y is positive.\nAnswer: y**(6103\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -25, -92, -217, -418, -713?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2.3 (b) -5 (c) -8 (d) 42 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 - 550 = -2*l. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 5*n)*(84*n - 12*n**2 - 84*n) + (0 + 2 - 1)*(n**2 - n**2 - 2*n**3).\nAnswer: -62*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 8*u + 16 = 2*q, q = -3*u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 4, x: 6}. Give prob of picking 1 x, 1 z, and 2 b.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 19 + 69 = -5*p, 41 = -4*p - 3*s. Let c = 31 + p. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2034 and 1322778?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8 - g**3 - 8*g + 0*g**3 + 0 - 8*g**2 + 2. What is the remainder when 65 is divided by c(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8 - (-616)\/72)*3)\/((-19)\/342)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 - 2 - (5 + (-24)\/12). What is the highest common factor of x and 6459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3611 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -488 = -39*m - 98. Solve -5*q - 4*y + 2 + 19 = 0, 3*q - m = -5*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6362*g - 6368*g = -23640. Calculate the highest common divisor of 180 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -162 and 0.4.\nAnswer: -64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42946 is divided by 1294?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 11:51 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 11.29. Let b = y - -0.59. Let a = 6 - 4. What is the second biggest value in 1\/4, b, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 8*q = m - 28, 15*m + q + 1 = 7*m - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*i - 113*i - 2*i**3 + 126*i + 505*i + i**2 - 10167 + 105*i wrt i?\nAnswer: -6*i**2 + 2*i + 638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 110010001001100111?\nAnswer: 110010001001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 - 3*s - 3. Calculate a(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6624 and 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 1332*y + 1630*y - 4284*y + 1322*y + y**2. Let l(n) = 57*n**2 + 4. Let o(t) = 115*t**2 + 7. Let u(f) = 7*l(f) - 4*o(f). Determine u(a(c)).\nAnswer: -61*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 839370 divided by 23982.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, a: 4}. What is prob of picking 2 n?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 5*a**8\/336 - 5*a**7\/42 + 5*a**6\/12 - 5*a**5\/6 + 25*a**4\/24 - 5*a**3\/6 - 16*a**2. Determine m, given that t(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 37*l - 35*l - 30 + 15.\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u - 282 = 40 + 68 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2322))\/((-2)\/(-4)). Let r be -46 + 47 + (0\/2 - 1). Which is smaller: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6928457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 3*j**2 - 4*j. Suppose 4*n = -4*h - 0*h + 92, -2*h - n = -44. Let q = -7 + 12. Suppose 3*y - q*b + 37 = 0, -4*y + 3*b - h = 2*b. Give p(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15731*p - 49 = -15738*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y)**(16\/11)*(y**(-3\/5))**34 assuming y is positive.\nAnswer: y**(-962\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -22*p**3 - 12*p**2 - 12*p. Let l = 0 + 5. Let h(x) = 9*x**3 + 5*x**2 + 5*x. What is l*q(t) + 12*h(t)?\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*a*x**3 + 33*a*x + 8355*a - x**4 - 2 wrt x.\nAnswer: -195*a*x**2 + 33*a - 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 283)*7\/(-308) - (-12)\/22. Solve -b = a + 100 - 102, b + 4*a + m = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4940 rounded to the nearest 100?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453542749.\nAnswer: 11, 19, 2170061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**2\/2 + 2*c + 7. Suppose 4*w - 2 = -18. Calculate i(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108 + -103.7. Let y = b - 4. Let l = 0.3 - y. Which is bigger: l or -0.01?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2 + 14*q + 20. Let i be o(11). Let a = 447 + i. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141 (base 15) to base 3.\nAnswer: 101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*g + 3*a + 49, 7 = 80*a - 81*a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 plus 447.97189?\nAnswer: 445.77189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.3217 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1074*r - 339*r - 39236 = 7393 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 160777981?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -2\/23 (c) 1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4357643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(6\/(-2) - 2). Let i(p) = -2*p**3 - p**2 - 2*p + 2. Let g = 9 + -6. Let r = 5 - g. Let c(z) = -4*z**3 - 2*z**2 - 5*z + 4. Determine m*i(l) + r*c(l).\nAnswer: 2*l**3 + l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-1) + 5\/1. Suppose -2*q - b*q = -25. Suppose q*p - 2 = -3*x, -4*x - 6*p = -2*p - 8. Solve -3*c + x = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164 divided by -182603\nAnswer: 164\/182603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/406544356 and 21\/20.\nAnswer: 2032721780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 55.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/129?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/73187609 and 49\/15763.\nAnswer: 73187609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2482 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2601243 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.15 (b) -61 (c) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-75)\/20 - 6\/24)\/(-2). Put 10, 17, 3, q in decreasing order.\nAnswer: 17, 10, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/508 and 83\/4572.\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**5 + l**4 - 6*l**3 + 2*l**2 + l + 1. Let t(g) = -g**3 - 2056 + 2056 + g**2. Let h(y) = 3*i(y) - 12*t(y). Factor h(x).\nAnswer: 3*(x - 1)**2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74985 - 4.\nAnswer: 74981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = 2*v - 2, o - 2*v - 9 = 0. Suppose -w + 4*r + 18 = 0, -o*w + 2*r + 7 + 119 = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 3*i - 5. Give r(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + 1 - (1 - 1)\/(-3). Suppose 2*n = a*i - 6 + 55, 5*n - 4*i = 114. What is the second biggest value in 3, -4, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 13070*w - 1071769. What is z(82)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b + 22. Let y(s) = -6*s. Determine t(y(i)).\nAnswer: 18*i + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48736520?\nAnswer: 2, 5, 7, 19, 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4680 and 71695.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k + 18*k + 81*k - k**2 + 62*k.\nAnswer: -k**2 + 171*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63710*g**4 - 125259 wrt g?\nAnswer: 254840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179175 or -179174?\nAnswer: -179175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6, 241, 670, 1323, 2230, 3421?\n\"Answer: 5*f**3 + 67*f**2 - f - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -6 (b) -4\/5 (c) -9 (d) -44 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 20*w**2. Let q(s) be the third derivative of 0*s**3 + 1\/12*s**4 + 0*s - 9*s**2 + 0. Calculate q(j(t)).\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422666.5 days to seconds.\nAnswer: 36518385600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 122*t**4 - 1062*t**3 + 2970*t**2 - 2322*t - 972.\nAnswer: 2*(t - 3)**3*(61*t + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 291998 or 291988?\nAnswer: 291988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.164104 + -0.608?\nAnswer: -0.772104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -478 + 474 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -1\/4, 6\/7, 2, -78 in decreasing order.\nAnswer: 2, 6\/7, -1\/8, -1\/4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -15.8. Which is the third biggest value? (a) g (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 16 = 32. Let o be m*(-4 + 77\/(-4)). Is 1\/(o\/69 + -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -2697746?\nAnswer: 269774a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4031 * 4\nAnswer: 16124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 - (-162)\/4. Let h = 1314 - 1306. What is the greatest common divisor of v and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2. Let x(k) = -77 + 44 + 37 - 5*k. Let b(d) = d + 1. Let q(h) = -4*b(h) + x(h). Calculate u(q(n)).\nAnswer: 81*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 9996*k + 9994.\nAnswer: 2*(k - 4997)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1519*n = -4*d - 1520*n - 32, 4*n + 2 = -2*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 10:39 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21\/68 - -1\/17. Which is the smallest value? (a) -2\/5 (b) 0.5 (c) 1\/5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-338 - 2*s**3 + 338 + 3*s**2)*(1 + 2*s - 1)*(8 - 9 + 25) in the form p*s**2 + u*s**3 + m + x*s + c*s**4 and give u.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -23. Let y = -50 - -55. Solve 0 = -m*z - y*z - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 - 303. Let o(q) = -391*q. Calculate o(a(h)).\nAnswer: 1173*h**2 + 118473","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.057.\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*b**2 - 69*b**2 + 22*b**2 - 3*b**3 + (3*b**2 - 2*b**2 + b**2)*(0*b + 3*b - 2*b).\nAnswer: -b**3 - 86*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28663 - -259904. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77\/8 + -75\/8. Factor -1\/2*n**3 + d*n**2 + 3\/8*n - 1\/4 + 1\/8*n**5 + 0*n**4.\nAnswer: (n - 1)**3*(n + 1)*(n + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = c - 48. Suppose -2 = -2*q + c. Calculate the remainder when q is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154 - -106. Let v = g + -259.774. Let q = v - 0.126. Which is bigger: 30 or q?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.26238 minutes in milliseconds?\nAnswer: 3615742.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27692, 55300, 82818, 110246, 137584?\nAnswer: 164832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*p + 19*p + 32*p - 44 + 424 - 21*p wrt p.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide (-1)\/(-2)*(417 - 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 21 + 27 = 0. Suppose 0 = -0*c + 4*c - k. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.93 (b) 1\/255 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1030)\/(-15)*6\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -78586945, 2 in ascending order.\nAnswer: -78586945, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 1. Let z be ((-14)\/21)\/(l\/3). Which is the biggest value? (a) 0.2 (b) z (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - m - 7. What is h(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8083586 decades in centuries?\nAnswer: 0.08083586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, -22, -24?\n\"Answer: -2*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 25 = -3*j - 2*n, 0 = 2*j - 4*n - 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 8 + 0 - 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 times -240.1668?\nAnswer: 40.828356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 3*s - 2*s)*(-2*s + 6 - 16 - 11) - 2*s**2 + 3*s**2 - 3*s**2 as z*s + w + q*s**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 127522399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2210 - 2208 + p**4 + p**2 - 2*p**4)*(1 - 4 + 2).\nAnswer: p**4 - p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56761523 (base 8) to base 14.\nAnswer: 18c7587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375 - 2.5?\nAnswer: 1372.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 10*13\/(-42). Let x = 14.8 - 78.8. Let z = -61 - x. Which is greater: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0260534*-0.16\nAnswer: -0.004168544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000101 + 110101110000101111?\nAnswer: 110101110111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 + 34*o**2 - 11*o - 4. Give x(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228666*w + 876 = 228593*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -23, -1\/2, 3.22, 3.\nAnswer: -23, -5, -1\/2, 3, 3.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, m: 3, n: 3, b: 3, d: 4}. What is prob of picking 1 d and 2 n?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 44821 (base 15) to base 10\nAnswer: 217831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**6\/60 - a**5\/20 - a**4\/4 + 4*a**3\/3 - a**2 - 5*a. Let i = 7 + -2. What is the tens digit of n(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -481*0.7\nAnswer: -336.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/5*0)\/(-1))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5394, -12, -1 in decreasing order.\nAnswer: 5394, 7, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uune when four letters picked without replacement from enuuepupn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 7. Let c(u) = -9*u + 2. Let g be c(-2). Suppose 2*y + 15 = -0*y + 3*f, -d*f = 5*y - g. Round y to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 165*v**3 - 321*v**2 + 19*v - 61. Give z(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 163354\/185 + -883. What is the closest to 1\/5 in -4, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, x: 3}. What is prob of sequence xccc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 152*k - 725. What is d(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/74509952 and -83\/1232.\nAnswer: 521569664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*j + j - 15 = 0, u - 2*j + 7 = 0. Let v(h) = 89*h**2 + h. What are the prime factors of v(u)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 6*t - 24. Suppose -4*w - 58 = -2*l + w, 0 = 3*l + t*w - 87. Suppose -47 = -4*y + l. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h**2 - 753*h + 17023. What is n(59)?\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**4\/8 + 7*l**3\/6 + 3*l**2\/2 - 4. Let w(m) be the second derivative of h(m). Find the first derivative of w(i) wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 15*o + 3. Let r(p) = 105*p + 20. Determine 3*r(g) - 20*z(g).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 38*d**2 - 3. Let g(i) = -39*i**2 + 2. Let k(c) = -3*g(c) - 2*o(c). Let p(y) be the third derivative of y**4\/8 + 3*y**2 - 86. What is k(p(u))?\nAnswer: 369*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 9*n**2 - 11*n - 4. Let r be q(10). Let h = -10 - r. What is the third derivative of -d**5 - h*d**2 - 3*d**5 + 6*d**2 wrt d?\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - -0.14. Let l = r - 2.18. Let v = l - -2.10000068. Round v to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24326 - -24331. Solve -r*q + 2*l = -16, -22*q = -26*q + 2*l + 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2)**9*y**(-3\/2)*y**3*(y\/y**(-2\/31)*y\/y**9)\/(y\/(y*y**9)*y**(-1\/6)) assuming y is positive.\nAnswer: y**(2021\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - 5*d + d**2 - 9 + 13. Let y(c) = 4*c**2 + 2*c**2 + 23*c - 2 - 22*c. Let k be y(1). Let w(a) = 2*a**2 + 6*a - 5. Calculate k*b(q) + 4*w(q).\nAnswer: 3*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50924.9999 - 50922. Let t = 3 - n. What is t rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154 + 156. Let f(q) = -1 + 0*q**2 + 16*q - 14*q + 2*q**x. Determine f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -11. Suppose d = -4*q - 2, -3*d - 2*d + g*q = 33. Let j(r) be the third derivative of -r**6\/120 - 7*r**5\/60 - r**4\/6 + r**3 - r**2. Determine j(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-570)\/114 + (-2 - (-2)\/(-1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121)*-1*-2 + (sqrt(121) - sqrt(121)*1*1))*-3)\/(6*(sqrt(891) - sqrt(891)*3)*-3))**2.\nAnswer: 11\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(171)*1)**2.\nAnswer: 30*sqrt(19) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(((t*t**(1\/3))\/t)\/t))**48*(t**(4\/7)\/t)\/(((t*t**(-1\/23))\/t)\/t) assuming t is positive.\nAnswer: t**(12979\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1123535?\nAnswer: 5, 7, 47, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 10 + 16)*(-2*m**4 - 3*m**3 + 3*m**3) + (-5*m**2 + 3*m**2 + m**2)*(-m**2 + 3*m**2 + m**2).\nAnswer: 17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**6 - 3213549*l**5 - 131462055*l**2 wrt l.\nAnswer: -120*l**3 - 192812940*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 107*q - 133*q. Let i(k) be the third derivative of 1\/12*k**4 + 0*k**3 - 10*k**2 + q + 0*k. Let n(b) = 10*b**2. What is n(i(c))?\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66048?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-2)*(-2512)\/(-202844)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t + 1. Let f(g) = -g - 1. Let u(i) = 2*c(i) + 5*f(i). Let d be u(3). Suppose 2*s + d*h = 4*h + 4, -4*s = -2*h - 14. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*g = 5*t - 5, g = -5*t + 19. Calculate the least common multiple of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13380632 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3 = -4*y - 7, -3*y - 14 = -5*h. Suppose 8*t - 4*t - 8 = 0. What is the first derivative of -y - 1 + 0 - 2*g**2 + t wrt g?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**45\/(v**(18\/5)\/v)*(v\/v**(-36))**27)**(-1\/4) assuming v is positive.\nAnswer: v**(-5207\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -11*f**2 - 3*f. Let j(o) = 14*o - 32*o**2 + 0*o - 22*o. Give 3*j(r) - 8*m(r).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6019300*j - 33. Let c = 45 - 62. Let p be f(c). Suppose 15328067 = -3*n + p. What is n rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 484 and 23197757.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y - 2 + 2)*(-3 + 3 - 1) - 44*y + 27*y - 7*y to z*y + w and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -161275 + 3?\nAnswer: -161272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i + 76 - 194 = 2*g, 2*i + 16 = 3*g + 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12 = 0, 0*z = j - 4*z + 18. Let h(b) = -2*b + 8. Let s(n) = -n + 4. Calculate j*h(q) + 5*s(q).\nAnswer: -q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 103333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -944*t**5 + t**2 + 107 wrt t.\nAnswer: -56640*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.949556kg?\nAnswer: 4949556000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6 and 6\/3421.\nAnswer: 20526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -438, -1687, -3770, -6687?\nAnswer: -10438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.45 and 2583.507.\nAnswer: 2584.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 236\/(-10) + 4\/(-10). Calculate the lowest common multiple of 1*(-3 - (g + 1)) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -140, 6\/49, 1, -0.3?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**4\/24 + 5*h**3\/6 + 345*h**2. Let o = 4 + -3. Let c = o + -1. Calculate l(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - h + 2*h)*(-5*h**4 - 6*h**4 - 7*h**4).\nAnswer: 36*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 699.0142 millimeters to micrometers.\nAnswer: 699014.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1635629186 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*o + w - 39, 17*o - 526 = 12*o + 2*o - 23*w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1566 by 9.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/9, -3, -0.05, -505, -0.3?\nAnswer: -505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.96 - -0.04. Let t = 3 - w. Let o = 11 - 11.4. Sort o, -0.3, t.\nAnswer: o, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + g - 1. Let a be h(1). Let m be (-3 - 0)\/a - 3. Solve m = 3*s - 2*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/165052030 and 3\/2860?\nAnswer: 330104060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-410)\/(-656)*(-16)\/(-50)*39\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d**3 - 25*d**3 + 39*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h. Let m(p) be the first derivative of -1295*p**2\/2 - 6296. Determine f(m(k)).\nAnswer: 3885*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1115\/7, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2661 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 52 = -u + 1, u - 52 = -p. Suppose -136 = -7*l + 3*l. What is the greatest common divisor of l and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -188903 and 0.121?\nAnswer: -22857.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507403 is divided by 20649?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -2\/13, -0.1, -1\/7, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1313 divided by 22\nAnswer: -1313\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 446*u - 2563. Calculate s(6).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -152 (b) 4 (c) -3\/4 (d) -2\/13 (e) -18\/25 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 501 (base 15) to base 7\nAnswer: 3166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irrirrrrrrrirrr. What is prob of picking 1 i and 3 r?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -6 (c) 22 (d) 145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4663*v + 16*v**3 + 4663*v)*(5*v + 2*v - 5*v) in the form j*v + t + b*v**2 + k*v**3 + u*v**4 and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 7) + 8 + 2 + -1. Suppose 0 = -3*q + 2*r + 4 + 3, 12 = z*r. Suppose -q*y + 18 = -3*t + 2*t, -t = -2. Solve -d + 3*d = -y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1233091, -1232858, -1232627, -1232398, -1232171, -1231946?\n\"Answer: -x**2 + 236*x - 1233326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 318 = -j. Suppose -8*s + 236 = 20. What is the remainder when j is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**3 + 3*t**2 - 3*t - 3. Let c(z) = 4*z**3 - 2*z**2 + 2*z + 2. Let d be (-49 - -53)*(0 + 6\/(-4)). Give d*c(s) - 4*f(s).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 0*d + 21 - 21.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 705*p**2 + 65*p + 373. Is z(-5) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9960.309ug?\nAnswer: 0.000000009960309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 1. Let h(o) = 13*o**2 + 4. Let m(j) = j**2 - 11*j + 6. Let r be m(10). What is r*t(x) - h(x)?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from ndvfnnfvvvndnnvnuv?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31464 - 154597 = 4327*c for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + r = 60. Let g = r - -12. Suppose -4*v - i + 16 = i, -3*v + i + 7 = g. Solve -v*d - 20 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -23084\nAnswer: -7\/23084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -575 + 572.21. Let s = q + 2.99. What is the nearest to s in -2, 5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 1*5\/1. Let z(w) = w**3 + 8*w**2 + 7*w. Let n be z(o). Let r = -172\/105 - -11\/7. Which is bigger: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 247429.\nAnswer: 4453722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a08 (base 13) to base 4.\nAnswer: -2203312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1446746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) -1\/7 (c) 24\/13 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -5*m + m - 1158305. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 10 = -8*x. Suppose -16 = -x*v + 32. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102004688 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/6)\/(392\/34104). Which is the fourth smallest value? (a) -0.4 (b) 1\/30 (c) -4 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -101.6?\nAnswer: -106.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 142803000 to the nearest 1000000.\nAnswer: 143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 times -0.08?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. Suppose c*b - 35 = -3*b. Let h = b - -11. Solve h - 3 = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:09 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/105 and 73\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11b (base 14) to base 4\nAnswer: 3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222122111 - -2220?\nAnswer: 222202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5*h**4 + 5*h**3 - 20*h**2 - 20*h = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-82)\/26 - (-1 + -2). Let v = -1 + 4. Suppose 12 = -4*b + b. What is the third smallest value in b, v, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.447827 and 1?\nAnswer: 2.447827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 4. Let i(y) = -2*y + 3. Let h(d) = -2*d**2 + 3*d - 2. Let r be h(0). Suppose -b - q + 3 = 0, 0 = 3*b + 2*q + 3*q - 9. What is b*i(u) + r*p(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 18 = -2*u, 1126 = b + 1118 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**5 - 12*s**4 + 4*s**3 + 12*s**2 - 8*s.\nAnswer: 4*s*(s - 2)*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328 + 115 + 23 = 19*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*q = -35 - 12 + 1. Let r(o) = 99*o - 132. Let m(l) = l - 1. Calculate q*r(d) - 132*m(d).\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 16 = 16. Suppose 4*b - 3 = 5. Suppose -2*h + b = -h. Solve -g*z - 2 = -w - 6, -h*w + 5*z - 5 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-1 + 6 + (-4 - 0)). Find l, given that 0 + 1\/2*l**c + 0*l = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52\/(-10) - 30\/(-18)*(-9 + 12). What is the fourth smallest value in g, 3, -25, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1214410 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -781 = z + b, -9*z + 7*z + b - 1550 = 0. Let r = z + 2338. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 5. Let j be k(-8). Suppose j - 21 = -5*c. Suppose 4*v - 24 = c*v. What is the highest common divisor of 108 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2712.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + b)*(49*b**3 + 148*b**3 - 42*b**3).\nAnswer: 155*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*sqrt(70) + sqrt(70))\/sqrt(10))**2 + 3.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n**2 - 2*n - 1. Let j be u(-1). Let c = -30\/13 + -284\/91. Find the common denominator of c and 678\/j*(-1)\/(-9).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4934502*w**2 - 1647463.\nAnswer: 9869004*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/12*44\/66.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 k when four letters picked without replacement from {o: 1, k: 5, f: 3}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 - 3616.\nAnswer: -3616.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -9*c + 7*c. Suppose 0 = -2*u - 3*t + 5, 26 = -u + c*t - 4. Let n(h) = -h**2 - 5*h + 5. Let k be n(u). Solve -k*z + 8 = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/235562 and -149\/402?\nAnswer: 47347962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 + 121*x**3 - 235*x**3 - 13*x**4 + 113*x**3 to l*x**3 + o + u*x + j*x**2 + h*x**4 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 0*i - 5\/6*i**4 + 1\/24*i**6 + 0 + 284*i**2 + 0*i**3 + 0*i**5. Factor k(r).\nAnswer: 5*r*(r - 2)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**5\/25 + 13*s**4\/60 + s**3 + 8*s**2 + 7. Factor d(y).\nAnswer: -2*(y - 3)*(6*y + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-4*t + t - 2*t)*(t**3 - 4*t**3 - t**3).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 8, -5, -20, -37?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.0718 (b) 3\/2 (c) 3 (d) -19 (e) -0.5 (f) -1 (g) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*1\/(-2))\/((-2196)\/(-50508)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -13 - (-49 - -43). What is the remainder when 89 is divided by 45\/(-10)*(-4 - 20\/d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*n - 138*n - 1 = u, -3*n - u + 7 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -38. Let j(b) = -b - 16*b**2 - 12*b**2 - q + 33*b**2. Let s be j(2). Solve 0 = 5*d + 3*k - 8 - 18, -3*k - s = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 19 + 3. Let w(i) = 75*i**2 - 5*i + 5. Let m be w(v). Suppose m = 5*p + 470. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -188 - -187.999813. What is n rounded to five decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from jjjjnnjjjjjjjjjjjj.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 7768258, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -91. Suppose 6*p - l*p + 4*f = 38, -25 = -5*f. Solve -12 = 5*z - p*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -11.4, -4, -0.7, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 236190*l - 2789285805.\nAnswer: -5*(l - 23619)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 3 - -5) + 1 - 1. Find the third derivative of 4*t**2 - 7*t**2 - 11*t**2 - 12*t**6 + 2*t**n wrt t.\nAnswer: -1440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1471, -2164, -3317, -4930?\n\"Answer: -230*h**2 - 3*h - 1238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14a2c7 - -1?\nAnswer: -14a2c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 179 - 36. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2285232 divided by 761744.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48843312?\nAnswer: 2, 3, 7, 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16.5? (a) 0.36 (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*n**5 + 11*n**5 - 43*n**5 + (2*n**3 + 3*n - 3*n)*(-n**2 - 2*n**2 + n**2) - 3*n**5 - 7*n**3 + 7*n**3 + (4 - 2 + 0)*(5*n**3 - 5*n**3 - n**5).\nAnswer: -49*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*sqrt(2))**2 + sqrt(2) - (sqrt(200) - sqrt(50))**2.\nAnswer: -210 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/((-13)\/(104\/(-204)))\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.723 + -0.277. What is the nearest to z in 2\/5, -1.7, 0?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1152)*-3*3 - (sqrt(1152) + (sqrt(1152) - (sqrt(1152) + 5 + (sqrt(1152) - -1*sqrt(1152)) - sqrt(1152))))) + -2.\nAnswer: -216*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)*u**2*u**2\/(u*(u*(u\/u**(-1))\/u)\/u)*((u*u*u\/(u*u**(-10)))\/(u*u**(1\/6)\/u))**(-12) assuming u is positive.\nAnswer: u**(-145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + j. Let k be w(-3). Let x = 29 + k. Let p be (-8 + 4)\/(8\/(-6)). Solve -p*t = -x*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1339 and 13184?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q = -10127 - 33771. What are the prime factors of q?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 2*f - 6. Let x(l) = -l**2 + 34*l + 148. Suppose 2*g = y - 36, -y + 8*g = 4*g - 34. Let q be x(y). Give r(q).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3 - 2790*s**2 - 65664*s - 391392 = 0 for s.\nAnswer: -906, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3332114300 (base 5) to base 14.\nAnswer: -d80b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -4. Suppose y = 4 - i. Solve a + 10 = 3*a, -y*j + 32 = 4*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250046445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.9 - -44.9. Let d = -713093 - -713132.0021. Let q = m - d. Round q to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1701*m**2 - m - 1372.\nAnswer: 3402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 3*392\/(-24). Let v be 8\/(-28) - 63\/c. Is 2\/5 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 + 5*i**3 - i**2)*(5*i + 0*i - 3*i)*(0*i - 4*i + 2*i).\nAnswer: -20*i**5 + 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/4 + (0 - 1). Let w be l\/12 - (-879)\/18. Suppose -v + a = 3*v - w, 0 = -5*v + 2*a + 65. What is the highest common factor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qcqcqfmyqeefqqfqcq. Give prob of sequence yecc.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 5*a + 12. Is p(9) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(56)\/(sqrt(8) + sqrt(288))) + -3*(sqrt(275) + 2).\nAnswer: -8*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52\/203 or -1?\nAnswer: -52\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 54*m - 3. Is 24 a factor of q(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4*a = 4*f + 2*a + 38, 4*f + 15*a - 46 = 73 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 92?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*q - 135*q = 30. What is the remainder when q is divided by 4\/((-1)\/((-1)\/2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p + 455 = -82*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 3*a - 3. Let f(o) = 4*o**2 + 8*o - 8. Determine -3*f(l) + 8*j(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 297808198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43887 = -36*g + 165885. Let t = g - 2747. Round t to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, o: 1, v: 2, i: 1, a: 2}. Give prob of picking 2 o and 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 3*p**2 - 5*p + 6. Let v be t(4). Suppose -10 + 35 = -5*l, 0 = v*n - l - 2027. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.37348 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, -4, 2.\nAnswer: -10, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 1 = 3*j + 6, 5*x - 2*j + 22 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 - 104. Let m be s\/5 + 12\/(-300)*-20. Let o = 0 - 1. Sort o, 2, m.\nAnswer: o, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2397 and 390201?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -14. Let p be ((-24)\/20)\/(3\/y). Let g be p\/56*8\/2. What is the closest to 1 in 1\/6, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 166 + 147 = -2*b, -7 = 4*b - 5*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10021415.\nAnswer: 5, 17, 117899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13900277, -13900279, -13900281?\nAnswer: -13900283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144\/2299 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u**2 - u**2 - 9*u**2)*(-7*u - 14*u**2 + 7*u) + 3*u**4 - u**3 + u**3 to r*u + a*u**2 + v*u**4 + s*u**3 + n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -45 - (0 + 4)*(5 + -8)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -358.6 - -343. Let q = x - -14.6. Which is smaller: -97 or q?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*(-2 + sqrt(242) + -2) + 4*-3*sqrt(242) + -1)**2.\nAnswer: -373062 + 31680*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 17. Let r = -123833\/3196 + -3\/799. Let u = r + 39. Which is the second biggest value? (a) u (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 1\/2 (c) -2\/19 (d) -5 (e) 1015\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/7 + 8\/28. Suppose 0 = m - i - 0. Suppose -m*u + n - 13 = 4*n, 0 = 3*u + 2*n + 9. Sort u, 3, 4.\nAnswer: u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3730 divided by 10?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62279100 and 468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 9*g - 7. Suppose -44 = -4*n - i + 6*i, 22 = n - 4*i. Calculate the remainder when d(n) is divided by (-27)\/18 + (-27)\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(-1035)*10 - (59\/(-118) + 49\/72)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51779 + 103560 - 51781 + 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 8 = 2*f. Let a(h) = -12*h**2 + 2*h - 5. Let p(b) = 36*b**2 - 7*b + 15. Let g(w) = f*p(w) + 11*a(w). Is g(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/84101 and -43\/20457.\nAnswer: 756909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000175625 to 7 decimal places.\nAnswer: 0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86866.190801 - 86866. Round n to 3 dps.\nAnswer: 0.191","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 9 - 5583*l**2 + 156 + 5581*l**2. Let d(f) = -f - 37. What is d(s(x))?\nAnswer: 4*x - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 5*q - 94. Let t = 50 - q. Let j be 12\/5 - 2 - 28\/(980\/763). Which is bigger: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -46. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o + 31. Let i(s) = -3*s + 11. Give -8*i(w) + 3*v(w).\nAnswer: 3*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3598479, 3598477, 3598475, 3598473, 3598471, 3598469?\n\"Answer: -2*q + 3598481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 814770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/3))**(28\/3)*l**(-8)*(l\/(l*l*l*l**(-17)\/l*l)*l)\/l*l)**(1\/4) assuming l is positive.\nAnswer: l**(46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 5 = -5*v, 0 = 154*c - 174*c + 4*v - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 35*v. Let u be j(4). Let y = -631 + 712. Let n = u - y. What are the prime factors of n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*w + 15 = 0, 5*w = 3 + 2. Let r be 1 + 4 + -4 + 3. Suppose -3*q - 3*i + y = 2, 3*q - 6 = -r*i. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14948851 divided by -14948851\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, g: 6, p: 4}. What is prob of picking 2 g and 1 p?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 14 - 11. Suppose s = -41*p + 44*p. Let a = -0.46 + 0.06. Sort a, p, -4 in descending order.\nAnswer: p, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 6:41 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.0599 - 0.0659. Let o = 12 - x. What is o rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 16d2d885?\nAnswer: -16d2d880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 23133?\nAnswer: 23131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - o + 1. Let c(v) = 9*v**2 + 9. Let f(p) = c(p) - 4*u(p). Let k(y) = y**2 + y + 1. Calculate -f(q) + 4*k(q).\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, -168, 4 in increasing order.\nAnswer: -168, -62, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - r + 4. Suppose -m - 4*k + 3 = -1, 0 = -2*m - 3*k + 3. Suppose m = 3*s + 3*s + 18. Let i(c) = -3*c**2 - c + 7. Give s*i(x) + 5*l(x).\nAnswer: -x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 1:43 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2aea983 + 1?\nAnswer: 2aea984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 46428*h - 464276. Determine y(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*b + 4 = 0, 1641*q + 182 = 1540*q - 5*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66286\/121 + (-6)\/(-33).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**4 - 2*v**4 + v**4 + (7*v**3 + 2*v**3 - 2*v**3)*(-6 + 4*v - 3*v + 9) to s + y*v + u*v**4 + t*v**3 + a*v**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2813325 by -562665.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 139506999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3112000012210 - 1?\nAnswer: -3112000012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3)*(f*f**(-2\/5))\/f*f**(-3)\/(f\/((f**(-1\/2)*f)\/f*f)) assuming f is positive.\nAnswer: f**(-69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12223211 (base 5) to base 9\nAnswer: 187820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h**2 - 6*h + 8. Is y(4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(2\/(-1 - 0)). Suppose 2*a = 5*c + 8, y*a + 2*a = -5*c + 20. Find the third derivative of -26*r**4 - 15*r**a + 32*r**4 + 3*r**2 wrt r.\nAnswer: -216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + l)*(478*l - 218*l - 210*l)*(5 - 3 - 4).\nAnswer: -100*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19 (b) -3 (c) 0.868 (d) 2\/19 (e) 0.3 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 170 + -177. Put j, -2, 5 in ascending order.\nAnswer: j, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - w + 1. Let s be q(2). Let t be -2 - 11 - (15 - 19). Let c = t - s. Solve c = r + 2 + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -17310846188009.7.\nAnswer: -17310846188014.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-2)\/(0 + -1). Suppose s - 4*s - 2*t = -3, p = -t. Which is bigger: s or 2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7489 from -1291.\nAnswer: -8780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6774 + 6764 + 6775 - 27084 + 6771 - 10*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16472515 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 10) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/2 + 4*h**3 + 15*h**2\/2 - 4*h - 8.\nAnswer: (h - 1)*(h + 1)*(h + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 522811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 0*v**2 - 3*v - 2*v**2 + 5*v + 4 + 8*v**2. Let l(a) = 5*a**2 + a + 3. What is -4*l(i) + 3*w(i)?\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eight sevenths of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 8*q**2 + 5*q - 38. Let l be (-18*(-2)\/15)\/(3\/10). Let v be u(l). Solve -r = v - 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 390361, 389953, 389273, 388321, 387097, 385601?\n\"Answer: -136*s**2 + 390497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10735 - -11806. Calculate the remainder when j is divided by 1056.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from kppokpypp.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 406999 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*a - i + 5*i, -17 = -3*a - 4*i. Solve -2 = -a*u - 4*h, 2*u + 2*h - 9 = 7*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 850878 and 3.\nAnswer: 850881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 35957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by ((-15)\/12)\/((-5)\/(18 - -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 + (-15 - -24).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6226374 + -38908866?\nAnswer: -32682492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 331679 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 915 and 251991.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 4 (c) 5 (d) 3\/11 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/202020 and -9\/11396.\nAnswer: 2222220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-35) + 86\/7. Suppose 0*s + a = 4*s. Solve 0 = x + z - 3*z + s, x + 2*z = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.68 times -3?\nAnswer: -23.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 195523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90528?\nAnswer: 2, 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/6)\/(4\/(-12)). Suppose u = b - 1. Suppose -6*s = -5*s + b, 3*x - 65 = s. What is the lowest common multiple of x and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-2))\/((-2)\/(-10)). Solve -10 = -s*q, 24 = 5*a + q + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -96, -151, -164, -129, -40, 109, 324, 611?\n\"Answer: h**3 + 15*h**2 - 107*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8589, -17175, -25761, -34347, -42933, -51519?\nAnswer: -60105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Suppose 9 = -g + k. Let a = g - -5. Put 0, a, -1 in descending order.\nAnswer: 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -31, -10, 27, 86, 173, 294, 455?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 132?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176111 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-612)\/(-28) - (-23)\/161. Let g(a) = 9*a**2 - 197*a - 23. Give g(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 212304?\nAnswer: -212312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-6))*t**(1\/3))**22\/((t**0*t*(t*t**0*t)\/t*t)\/((t**6\/t)\/((t\/(t\/(t*t\/t**3)))\/t*t))) assuming t is positive.\nAnswer: t**(-365\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -141 divided by 540\nAnswer: -47\/180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4710 + -9c?\nAnswer: 4674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + 3 + sqrt(128) + 4)*-3.\nAnswer: -48*sqrt(2) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4130 + 4125 + 4154 + 16*b - 12410.\nAnswer: 16*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 352376 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) 0.2 (b) -2\/5 (c) 2055 (d) 1\/4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -167?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2767 + 1139 = 68177*c - 68115*c for c.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**12*r\/(r*r**(-2\/7))*r)**24)**46)**(-39) assuming r is positive.\nAnswer: r**(-4004208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -905*d**4 + 239*d**3 + 2*d - 10819325 with respect to d.\nAnswer: -3620*d**3 + 717*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10*n**2. Let h(y) = -68*y**2. What is s(h(o))?\nAnswer: 46240*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 8. Let s be f(-8). Let t be (-3)\/(-9)*(s - 2). What is the nearest to -2\/3 in -2, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 771.90786ns to days.\nAnswer: 0.00000000000893411875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.49 and 7.\nAnswer: 2.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -121*n - 18. Let v be s(-10). Let m = -443 + v. Let g = m + -3023\/4. Which is greater: g or -8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o. Let x(q) be the first derivative of -9*q**2 + 347. Give h(x(m)).\nAnswer: -108*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 2:59 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/10 - 715*c**4\/2 - 39413*c**3\/10 - 118333*c**2\/10 - 1798*c + 17930 = 0.\nAnswer: -5, -2, 1, 3586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 418, 1752, 5368, 12406, 24006, 41308, 65452, 97578?\nAnswer: 138826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-448)\/(-280))\/(2\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36657067 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pibijiebpibbpjbp. What is prob of sequence pe?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngnggremegngrnrsrgg. What is prob of sequence rmne?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -467 (base 8) in base 14?\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54 - 96*w - 4*w**4 + 50 + 6 + (-5*w**3 - 3*w + 3*w)*(-3*w + 4*w - 2*w).\nAnswer: w**4 - 96*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + -0.3. Let v be (-122)\/(-5) + 4\/(-10). Let w be (-9)\/(-36) - (-10)\/v. Which is smaller: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 3331686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1726503 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1744, 3487, 5230, 6973, 8716, 10459?\nAnswer: 12202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -104, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -58603365?\nAnswer: -17581009.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 149*b**2 + 35*b - 151*b**2 - 5 + 5 as n*b + g*b**2 + i and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-19 - (-19 + -6) - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.2 + -0.8. Let f = u + 6. Let p(s) = -s + 5. Let t be p(4). Which is the third smallest value? (a) f (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 2*n. Let s(k) = -12*k**2 + 10*k - 35. Give 5*r(i) - s(i).\nAnswer: 2*i**2 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 2\/105*p**7 - 3\/112*p**8 + 0*p**6 + 0*p + 3*p**2 + 0*p**3 + 0*p**4 + 2\/3*p**5 + 0. Find the third derivative of h(l) wrt l.\nAnswer: -540*l**2 + 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*x - 60 = 95*x. Let w = 22 - 68. Let r = x - w. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + 58 + 0*j - 58.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 56d - 2?\nAnswer: 56b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**3\/3 - 19*u. Let f(v) = -v. Let p(o) = -17*o - 5*o - 7*o + 7*o. Let h(m) = 5*f(m) - p(m). Calculate h(q(s)).\nAnswer: 34*s","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 26 + (-2)\/(-2) + 3. Let p(o) = o**2 + i*o + 4896 - 4896. Let t(w) = -2*w**2. Calculate t(p(c)).\nAnswer: -2*c**4 - 120*c**3 - 1800*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (127*-3)\/3*-1 - 2. Let j = 140 - i. Suppose j*m = 13*m + 56. What is the highest common divisor of 252 and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -4. Let t = -5.5 - m. Which is the nearest to 2? (a) 5 (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 34 = 10. Calculate the remainder when 136 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -230*v + 3027. What is the units digit of j(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-34)\/(-4) + -8). Let f be (1*1\/v)\/((-5)\/70). Solve 5*s = s + 5*q - f, -15 = -5*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 - 424 - 2*d + 209 + 218 in the form g*d + x + f*d**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 25, 36, 47, 58?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 22519734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1624740 and 1222.\nAnswer: 76362780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/11169 - -1965734\/55845. Let d = -77 - -112. Let g = d - c. Sort 1\/6, g, -0.3.\nAnswer: -0.3, g, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 2:41 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 - 499\/7. Suppose 27 = 3*s - 4*k, -s - 4*s + 34 = -3*k. Let q = 4 - s. Sort -3\/7, q, c in decreasing order.\nAnswer: c, -3\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-2)\/sqrt(10) - sqrt(19) - (sqrt(76) + -2).\nAnswer: -5*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 + 0*i**2 - 7*i**2 + 2 - 6*i**2 + 3*i. Let r(k) = 5*k**2 - 2*k - 1. Give 5*r(f) + 3*v(f).\nAnswer: -2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000514756 rounded to 6 dps?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine halves of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekxxeepxcxpqexxecck. Give prob of picking 3 x and 1 k.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 212256 and 336.\nAnswer: 1485792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zczczcqnznnnqnnpzczz. What is prob of picking 1 n, 1 p, and 2 q?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*g + 11 = -0*b, 1 = -b + 3*g. Suppose 2*c = -3*a + 1625, -b*c - 43 + 602 = a. Is 26 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**3 + 121*x**2 - 468*x - 19. Calculate p(36).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 6 + 2. Suppose d - o = -0*d. Sort 0, -2, d in decreasing order.\nAnswer: d, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 8 = 2*t, 2 = t - 5*j + 1. Let d(b) = -2*b**2 - b - 1. Let u be d(-2). What are the prime factors of t*u*(-1)\/3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23)\/(368\/288) - -234. Solve 25*g = -r + 91 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8898 + 3410 = 753*q - 5764 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.017 - -0.198.\nAnswer: 0.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -24, -7*q = -g - 3*q + 4181. Calculate the least common multiple of 4149 and g.\nAnswer: 4149","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197*o - 163 + 163)*(-5*o + 2*o + 2*o) + 2*o**2 - 3*o**2 + 2*o**2 + (-o**2 + o - o)*(-4 + 4 - 1) - 4*o + 4*o + o**2.\nAnswer: -194*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 2*l**2 - 9*l + 8. Let s be i(-8). Suppose 0 = 4*m + 3*k + 2*k - s, -580 = -5*m + k. Is m a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-408)\/(-85)*5*((-91)\/(-12))\/(-13)*3?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/96*(-3 + 18\/8). Let m(c) be the third derivative of c**2 + 0*c + h*c**4 + 0 - c**3. What is the derivative of m(n) wrt n?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -28.99471. Round m to four decimal places.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 12*g**2 + 4\/3*g**3 + 36*g - 7. Solve a(n) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a millennium in decades?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 2 + 2)*(909 + 583 - 161)*(-r - 6*r + 2*r).\nAnswer: -6655*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2537 and 1849.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -23, -4 in ascending order.\nAnswer: -23, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 380 divided by 76.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 23484 + 17393 = 0. Suppose -3*l + 35923 = -5*p + 11419, -5*l - 4*p + h = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -10806?\nAnswer: -10806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 25*n = -140. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 162 or 151?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15\/70*-2 - (-325)\/7 is divided by (-512)\/(-24)*12\/16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 214448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 4*z = 5760. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27 + -8)*2\/(-10)*3. What is the highest common factor of f and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -3 + 4 - (13 + -19 - -4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72786*x - 228 = -72805*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + ((-261)\/8700)\/((-12)\/1805). Are x and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 1. Let h be g(-1). Suppose h = 4*i - 9*i + 40. Calculate the highest common divisor of i and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 9\/2*r**2 - 1\/6*r**3 + 26*r + 31. Let a(x) be the first derivative of i(x). Give a(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -661 - 5?\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0068 - 7.\nAnswer: -6.9932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b. Suppose -5*k = 5*o + 20, -19 = o + 4*o + 4*k. Calculate the remainder when u(o) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 + 1161 = n. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -5*c**3\/6 + 548*c + 1. Let k(z) = 16*z**2 + 17. Determine b(k(y)).\nAnswer: -80*y**2 - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-18 - 483*i - 110*i + 20).\nAnswer: -593*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -45. Let t = 20 - r. Suppose t*l - 8*l + 335 = 0. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3.98 (b) -4 (c) 5 (d) -1 (e) 0.075\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -21*((-30)\/18 - 0). Let j = -32 - -68. Which is bigger: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*c**3 - 21*c**3 + c**4 + 4*c**5 + 4 + 3*c**4 + 4*c - 8*c**2 + 30*c**3.\nAnswer: 4*(c - 1)**2*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 12*m**3 - 18*m - 4*m**3 - 28.\nAnswer: 8*m**3 - 18*m - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 637 and -214875 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -3 (c) -0.76 (d) -121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = u + 2, 10*u - 7*u - r + 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by -1094?\nAnswer: -31\/1094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 13.\nAnswer: -1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 22. Let v = h + 0. Let w = -5 - -4. Sort v, -2, w in descending order.\nAnswer: v, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1193, 2384, 3575?\nAnswer: 4766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (4 + (-3 - 0)). What is the closest to r in -1\/4, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c - 4 = -22*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -411000 rounded to the nearest one thousand?\nAnswer: -411000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 12 = -17. Let v be (-1 - 2)\/((-21)\/343). Let m = v - i. Is m a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151 + -149. Suppose -2*g - 236 = -t*n, 40*n = 39*n - 5*g + 124. Calculate the greatest common factor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-5)\/75*-5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**3 - 6*n**2 - 9*n - 34. What is o(-5)?\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h + 2*h - 4*h)*(15*h**3 + 12*h**3 - 29*h**3 + 5*h) in the form b*h**3 + m + q*h**2 + y*h**4 + g*h and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.13941855 to 3 decimal places.\nAnswer: 2.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 366229 > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**2\/2 + 89*r - 13. What is the tens digit of u(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 47333463545 and 33?\nAnswer: 47333463512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8532 + 42656\/5. What is the fourth biggest value in 4.3, -1\/4, 2, 4, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 9*v - 16. Let o be s(6). Suppose o*z - 8 = -2*z. Let i be ((-1)\/z*0)\/(-6 - -8). Solve 0*t + t = -u + 4, -3*t - 2*u + 12 = i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004346315 to 5 decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5\/9 (b) 1\/4 (c) -37457\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (60\/7)\/(6\/42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.175486 take away -2?\nAnswer: -28.175486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1544*z. Let q(b) = -59*b. Calculate q(y(h)).\nAnswer: -91096*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449*c**2 + 750*c**2 + 549*c**2.\nAnswer: 850*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -288, -933, -2174, -4209, -7236, -11453?\nAnswer: -17058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98577222*a*d + 40*d - 247825 with respect to a.\nAnswer: 98577222*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**6\/45 + k**4\/6 - k**3\/2 - 5*k**2. Let y(b) be the first derivative of x(b). Differentiate y(q) wrt q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27*48880\nAnswer: -1319760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15329\/265 at most 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -9*h + 18. Let n(r) = -16*r + 36. Let i(c) = 5*l(c) - 3*n(c). What is i(12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 157 - -178?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/31 and (-180)\/(-210) + 3*2.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 106, 56, -10, -98, -214?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -59902694.\nAnswer: 1\/29951347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 0*f - 12 - 4*f + 2*f + 4*f. Let z be r(9). Suppose z + 9 = v. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 3, 0 = 3*o - 7*o + 3*i - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/260*5\/13.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 5. Suppose -2*q = -q - v. Suppose -q*t - 15 = -10*t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1380, -1382, -1384, -1386, -1388, -1390?\n\"Answer: -2*f - 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 4, 22.\nAnswer: -1, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7473029 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -543, -1062, -1853, -3006?\nAnswer: -4611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 - 96. Let v = 0.13 - 0.03. Let j = 0.9 + v. What is the nearest to g in -5, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48503*w + 48479*w - 216 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-4))*m)**(-50)\/(m*m**(-17)*m\/(m\/(m\/(m*m**(10\/9)))*m)) assuming m is positive.\nAnswer: m**(-2087\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 equal to 2071891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 + -6c33?\nAnswer: -6c18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 633, 1296, 1981, 2688, 3417?\nAnswer: 4168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10926380 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + k**2 + 14*k - 8. Let h be d(5). Let v = h - -236. List the prime factors of v.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-6) + (-3)\/9. Suppose 0 = -t + 4*q - 4, 2*q + q - b = -3*t. Suppose d - 3*d + 2 = t. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 - 94 - (6 + 1 + -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76416480 a multiple of 2166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.958409 nanoseconds?\nAnswer: 0.00000000003264015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 = -5*u + 131. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118*w**5 - 17890*w**3 + 5392484*w**2.\nAnswer: 7080*w**2 - 107340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14858978?\nAnswer: 2, 37, 200797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 r when four letters picked without replacement from {r: 2, q: 6, t: 4}.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - 70. Suppose y = -12*f + 14*f. Let p be 4\/18 + 4\/(-9). Which is greater: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1512 = -2*c, 57*c = -4*f + 56*c + 1500. What is the greatest common divisor of f and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*j + 17924, -4*d + 1445 + 16481 = -2*j. What are the prime factors of d?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81474 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: Suppose -w - 38*g + 39*g - 8 = 0, 0 = 4*g - 32. Solve w = 6*m + 90 - 48 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 836, 1971, 3590, 5711, 8352, 11531?\nAnswer: 15266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 462554987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 305897 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 4*c + 4. Let b(t) = -t + 1. Let w(v) = 15*b(v) - 3*j(v). Let s(y) = 7*y**2 + 4*y - 4. What is 3*s(n) + 4*w(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 49. Let z = r + -9. Suppose 545*s - 1965 - 895 = -27*s. Which is the second biggest value? (a) s (b) z (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - -18) + 10 - -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(245) - sqrt(245)*2)*-1*-4 - (5 + sqrt(245)*-1 + 5))*6)**2.\nAnswer: 60480*sqrt(5) + 331920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Suppose 3*t - 9 = n*w, 6 = -2*t - w - w. Solve 5*j + 23 = -2*f - t*f, j = 3*f - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.026581 * -0.02\nAnswer: 0.00053162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 16 - (18 + (-8 - -3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q - 139 = -5*b, -2*q - 141 = -5*b. Let z = -30 + b. Is 4 + -3 - (-14 - z) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1 - 2 + 4*q - 5*q. Let x = -2637 - -2638. Let i(u) = 7*u + 6. Let a(c) = x*i(c) + 6*n(c). Let m(g) = 9*g + 1. What is -24*a(d) + 3*m(d)?\nAnswer: 3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-3)*(77 + (-11018)\/154).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24070, -24055, -24024, -23971, -23890, -23775, -23620?\n\"Answer: d**3 + 2*d**2 + 2*d - 24075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117964 and 924?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.8? (a) 5 (b) 0 (c) -15 (d) -3750 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -15. Let r = y + 49. Let f = 66 - r. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000431 to 6 dps.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*n + 52*n + 59*n = 404514. Calculate the remainder when n is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 11*n + 237. Calculate f(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 327, 1798, 5793, 13572, 26395?\n\"Answer: 210*f**3 + 2*f**2 - 5*f + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = -27 - 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 0*l + 0*l**2 + 1\/12*l**3 + 1\/24*l**6 - 1\/20*l**5 - 1\/16*l**4 + 2. Factor d(k).\nAnswer: k**2*(k - 1)**2*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 + 42*b**2 - 6*b - 378.\nAnswer: 2*(b - 3)*(b + 3)*(b + 63)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -35, -0.7, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-16)\/10)\/(44\/(-31405)).\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(77) - sqrt(77) - sqrt(77))*-1 + (sqrt(77) - -6*sqrt(77)*-3) + sqrt(77))\/((-4*sqrt(252) - sqrt(252))*6*4).\nAnswer: sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202 (base 6) to base 8.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 + 157. Sort 3, o, 12, -5.\nAnswer: -5, o, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.0509424.\nAnswer: 0.01018848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a - 25. Let g be (-8)\/(-2)*186\/(-124). What is j(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15\/7 + 181\/91. Let j = 7 - 10. Let m = 114 - 114.3. Which is the closest to -2? (a) m (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331586307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 q, and 1 x when four letters picked without replacement from yxxylyylq.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4173\/2 - 2086. Sort -0.2, -33\/10, d, -0.5 in increasing order.\nAnswer: -33\/10, -0.5, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31493.85979 - 31494. Let f = b - -0.14. Round f to 5 dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 21 = -3*c, 0 = -p - 3*c + 3 - 18. Let a(g) = -22*g + 13. Is a(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from eeeegeeeeeeggeeeee.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + 3 + -1 + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 12*j**3 + 8*j**2 - 8*j - 8. Let y(u) = 12*u + u**2 - 5 + 8*u**3 - 17*u + 4*u**2. Suppose i - 2*q = -5, 3*q = 3*i + 8 + 7. Give i*o(z) + 8*y(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s + 30. Suppose -4*p = p - s. Let f = 30 + -28. Solve -7 = -0*d + p*d + f*g, 3*d = -4*g - 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -66.1?\nAnswer: 13.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 24.91. Let i = -0.1 - o. Let j = 197\/120 + -49\/24. Which is greater: j or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2268*n**2 + 9856*n - 175136850.\nAnswer: -4536*n + 9856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(2) - (2 + sqrt(2)))*-1 - (2 + sqrt(242))) - (-5 + 1 + sqrt(200) + -2))**2.\nAnswer: -252*sqrt(2) + 918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 3*y**2 - 3*y - 10. Let l be v(-4). Let i = -20 - l. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160.7 - 0.3.\nAnswer: 160.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -608443 - -0.5\nAnswer: -608442.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1119 - 1113. Sort y, 0, -13.\nAnswer: -13, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.066 + 0.066. What is the third smallest value in -4, 1.1, z?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 2 - 6*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 0*z**2 + z**2)*(-2*z - 2*z + 2*z) - z**3 - z**3 + 4*z**3 + z**3 - 10*z**3 - 15*z**3.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -377 - -580. Suppose 0 = -3*q + 134 - 47. Calculate the greatest common divisor of p and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -n + 6 + 4, 22 = 5*n + 4*l. Suppose 0 = -n*i + i + 15. Calculate the remainder when 9 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/3*2067\/(-5512)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 36. Let a = 6.14 + -0.14. Let d = a - 1. What is the nearest to -1\/4 in d, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f. Suppose 0 = -f*g - 2*g + 18. Let n be 3\/1*(-3)\/g. What is the third smallest value in n, -2\/9, -2\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**0*w)\/w)*w**(-3\/5))**40*((w\/((w**0\/w)\/w))\/w)**37*w**(-6)\/(w**(2\/3)\/w) assuming w is positive.\nAnswer: w**(133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1552*l - 3107*l + 1559*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*6\/(-9)*3*(-18)\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1374 = 5*y + 492, -2*y + 3*l = -339. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) 0.14 (c) 5 (d) -7 (e) -2\/11 (f) 6\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*k*x - 32*k - 4*x + 2 wrt x?\nAnswer: 26*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2 - 56*h - 196 = 0. Calculate h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 390, 881, 1372, 1863?\nAnswer: 2354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0973 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 133860 divided by 6?\nAnswer: 22310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 583*p + 372. Is s(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/19)*r\/(r\/(r*r\/(r**(3\/8)*r*r)*r*r)))\/(r**(-21\/4)*r**(-12)) assuming r is positive.\nAnswer: r**(2853\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Suppose 3*q - 2*q + 1 = 0. Put k, q, 2 in descending order.\nAnswer: 2, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35723 and 8923105.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 231 + -231.1. Let s = -3 - -8. Let n = -2010 + 2007. Which is the fourth biggest value? (a) s (b) p (c) -0.2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125\/258 + 2\/129. Let p be 6*2\/(-20) + 1. Let y = 1\/5 - p. What is the biggest value in g, -5, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 5*m + 4. Let s(x) = x**3 - 2*x**2 + 5. Let j be s(2). Determine u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/2 - 138*k**3 - 3*k**2\/2 + 138*k.\nAnswer: 3*k*(k - 92)*(k - 1)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 2*q - 5. Let h be f(-4). Let u be ((-1)\/h)\/((-1)\/12). Suppose u*m + 0*m = 8. What is the remainder when 2 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - a - 12 = 0, -20 = -0*g - 5*g + 4*a. Let n = g + 0. What is the least common multiple of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 - 100. Put 5, -0.4, l in ascending order.\nAnswer: l, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18064 and 1552?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 339 - 334. What is the closest to 0.1 in 4, 1, x, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 830563\/83 - 10007. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26690*f**2*i**6 - f**2*i**4 + 217*f**2*i - 25*f*i**2 wrt i?\nAnswer: -3202800*f**2*i**3 - 24*f**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -272.51085 and 0.5.\nAnswer: -136.255425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57186?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256 by 5.\nAnswer: 256\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + 15 + -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -81*a**7\/14 - 18*a**6 + 33*a**5\/5 + 89*a**4\/2 + 37*a**3\/2 + 3*a**2 - 793*a. Solve u(c) = 0.\nAnswer: -2, -1, -1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3744+0.5\nAnswer: 3744.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 + 3 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 25 + 7 = -2*l, -4*v + 2*l = -30 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 7*x**2 + 12. Let f be c(6). Let z = -8 + f. Suppose -2*l = -i - 15, 4*i - z = -l - l. What is the greatest common factor of l and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(3)*5)**2 + sqrt(18)\/(sqrt(42)\/sqrt(7) + sqrt(6)))*-3*-4.\nAnswer: 6*sqrt(3) + 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 + z + 0*z - 3*z**2 + 2*z. Let n be q(-4). Suppose -n*c - 88 + 472 = 0. Calculate the greatest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -286214.2?\nAnswer: -85864.26","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -23.8?\nAnswer: 27.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4044436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -22*l**7\/105 - 23*l**6\/20 - 53*l**5\/30 - l**4\/2 + 126*l**2. Find h, given that r(h) = 0.\nAnswer: -2, -1, -3\/22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (38 + 13 + -15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 13*z + 87. Calculate m(17).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*n - 4*o, -n + 13 = -4*o - 9. Suppose -7 = -5*r + 3. Suppose 0 = -0*h + n*h - r. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33243 or -33241?\nAnswer: -33243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*(sqrt(11) + sqrt(11) + sqrt(11)*1 - sqrt(11)))**2.\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a week in minutes?\nAnswer: 28980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33979, 136060, 306211, 544432, 850723?\nAnswer: 1225084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1664 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, w: 3, i: 5, p: 3, u: 4}. What is prob of picking 1 u, 2 i, and 1 l?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -1 - 10. List the prime factors of (-2)\/11 - 299\/a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n + 3*n - 126*n**2 + 60*n**2 + 63*n**2.\nAnswer: -3*n**2 - 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -1943, -1 in increasing order.\nAnswer: -1943, -8, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 141, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 725*r**2 - 1731*r + 6928. Let b be d(4). Is 11603 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.71 and -8500356.3.\nAnswer: -8500355.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62.2 + -62.723. What is w rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 8*z**2 - 4*z - 3. Suppose 0 = -10*u + 6*u + 36. What is the tens digit of i(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2312335, 4624501, 6936667, 9248833?\n\"Answer: 2312166*u + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6487*r + 449*r - 1668*r + 11628*r + 1769*r.\nAnswer: 18665*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 75*s + 21. Let n(d) = 2*d + 1. Give 42*n(f) - 2*p(f).\nAnswer: -66*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**3*k**2*x + 112*h**3*k**2 + 109*h**2*k**2*x - h**2*k + 2*h*k**2*x wrt h?\nAnswer: -18*k**2*x + 672*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0609122 millennia in decades?\nAnswer: 6.09122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -727 - -726.8. Let d = -0.08 - -1.08. Which is the closest to -3? (a) p (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 7*t**6\/30 - t**5\/4 - t**4\/6 + 5*t. Factor k(p).\nAnswer: p**2*(p - 1)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/50)\/((29744\/960)\/13 - (-15)\/90)\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4404 + 1295. Let x = 3108.4444 + l. Let o = 0.56 + x. What is o rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116634 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - (-1*sqrt(1344) - sqrt(1344)))\/(sqrt(63)*-6) + 2 + sqrt(75)*2*-6 + -1.\nAnswer: -1097*sqrt(3)\/18 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1545 - 920. Find the common denominator of -22 and ((i\/20)\/(-5))\/((-6)\/(-9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407 + 399 - 11*s - 1182 + 376.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**4*y*z**3 + 15*v**3*y*z**3 - 6*v*y - 3*v - 5*z**3 wrt v?\nAnswer: -36*v**2*y*z**3 + 90*v*y*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*6\/552*253.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 3. Let u = d + 26. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 8:40 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3) + (-5 - (-2 + -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 53, 5 in descending order.\nAnswer: 53, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 46400 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8222 times -0.091?\nAnswer: 748.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-7)*u)\/u)\/(u\/u**(-9)))\/(u**(-4\/3)\/u)**(-24) assuming u is positive.\nAnswer: u**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13*q + 3. Give a(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 - 49*z - 5*z + 116.\nAnswer: -54*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 3:39 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15007 and 1396.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*f - 2*f = -16, -2 = -5*g + 2*f. Suppose -g*n - 2*c - c = -224, -c + 110 = n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 96\/(-4) - (-1 - 2). What is the common denominator of 746\/112 + 6\/j and -29\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 8 + (-7 + 15 + -10 - (5 + -63))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 51.10909km?\nAnswer: 51109.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -777, -6, -3, -2, 1, 0 in increasing order.\nAnswer: -777, -6, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 13)\/(1\/(-3)). Let s = 78 - k. Suppose 19 = -3*q + 6*q - 4*t, -2*q + 3*t + 13 = 0. What is the greatest common divisor of q and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.4 + -2.399948. Round a to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 29*o**2 + o - 1. Let f be k(3). Let y = -188 + f. Suppose 4*u - 3*n - 63 = 12, y = 3*u + 4*n. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11081412 and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 665391767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 plus -15440558.85?\nAnswer: -15440532.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (8 - 2) + -39?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - 2*d**2 - d**2 + 2*d**2 + 2*d**2 - 5*d**2 + (6*d - 4*d - 3*d)*(0*d + 2*d - d) + 5*d + d**2 - 5*d + (2*d - 38*d + 6*d)*(-2*d + d + 2*d).\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 19 - 13 = 0. Let n be s\/36 - 32\/63. Let u = -3.1 - -3. What is the nearest to u in -0.4, n, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*n - 17*n + 14*n - 3*n**2 in the form g + o*n + m*n**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/15*0 + 3. Suppose 16 = f*s + 5*s. Factor 4*n**4 + 11*n**2 + 4*n**2 - 19*n**s.\nAnswer: 4*n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10*x. Let m(c) = 23*c - 18. Let d(q) = -116*q + 87. Let s(v) = 6*d(v) + 29*m(v). Determine 2*s(b) + 7*z(b).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + 2*k - 3. Suppose 44*x + 66 = 24*x - 46*x. Let g(h) = h**2 + 1. Determine x*g(j) - p(j).\nAnswer: j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25781, -51231, -76681?\nAnswer: -102131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 4*f**2 - 5*f**2)*(-5*f**2 + f**2 + 2*f**2) + (2*f**4 + 2*f**4 - f**4)*(-3 - 1 + 2).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/5)\/h*h)**22\/(h**10\/(h\/h**(-1))) assuming h is positive.\nAnswer: h**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 7*r**2 - 46*r - 15. Let x be z(-11). Suppose 0 = 2*v - x*v + 34415. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkjkjkkkkk. Give prob of sequence kkk.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 25.24. Let i = 172.316 - 172.5560065. Let w = i + z. Round w to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4247 - -4092. Which is the biggest value? (a) z (b) 1 (c) 2\/7 (d) -0.1 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.153530373+0.1\nAnswer: 9.253530373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01957 + -0.01507. Round y to five decimal places.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 509*m**2 + 1090*m - 34736. What is u(511)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335 divided by -102?\nAnswer: -445\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + 3 + (-2 + sqrt(425) + 2)*5 + 4 + 3))**2.\nAnswer: 11250*sqrt(17) + 267650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0061131376 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 11*k + 5. Let m be (-255 + -9)\/12 + 12. What is y(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 0*l**2 + 2*l**2 + (-5*l - l - 2*l)*(51*l + 14*l + 4*l)*(-2 + 6 - 3).\nAnswer: -551*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 19*x**3 - 2*x**2 - 2*x + 7. Let s(n) = -n**2 - 22*n + 78. Let a be s(3). Does 62 divide j(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -209084\/3 and -69695 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 21676.91 to the nearest 10.\nAnswer: 21680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1610 + -1607. Solve -11 = -u*j + j + l, 5*l = -15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4 and 41\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*u**3 + 3 - 142*u**3 - 21*u**3 - 4 to z*u**3 + m + a*u + k*u**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 5*f + 2. Let u be g(-5). Suppose -3*w + 91 + u = 0. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2910676117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.734 and -37.6.\nAnswer: -35.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 917*y**3 + 2 - 3225*y**3 - 36615*y**2 + 36614*y**2.\nAnswer: -2308*y**3 - y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 17 + 2 - 6 - 1139*g - 9.\nAnswer: -1139*g - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/10)\/j*j\/((j*j*j**(-12)*j*j)\/j)*j**14\/j**(1\/3) assuming j is positive.\nAnswer: j**(677\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -5, -0.3, 0.8, -1, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -33 - 3. Let u(w) = j + w - 7*w + 7*w. Calculate u(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2183 + 0.7817. Sort 714, -4, c in descending order.\nAnswer: 714, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 a factor of 725902346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 150.08 and 1.\nAnswer: 150.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/1226 (b) -5 (c) -2 (d) -4 (e) 1\/4 (f) 101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 20*v - 4. Let t be h(-10). Let p be ((-56)\/(-6))\/(2\/(-6)). Let a = t - p. Are a and 25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**2*h**2 - d**2*h + 12*d*h**3 + 198*h**3 with respect to d.\nAnswer: -6*d*h**2 - 2*d*h + 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 16190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191696?\nAnswer: 2, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 23 - (0 - 3) - (-1 + -19)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7603 = 25*q + 2978. Let c = -53 - 44. Let t = c + q. Round t to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, -1, 1, 5, 11, 19?\n\"Answer: j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 63.75, 3\/7, 0.21, -5?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/14)\/(66\/(-1232)*14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -729497 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b + 7. Let t = 7 + -13. Let w(y) = -3*y + 6. Determine t*w(u) + 5*i(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2282, 10.019, -0.4?\nAnswer: 10.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-744)\/(-1116)*(3\/2)\/(5\/(-15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 17*x**2 + 561*x - 22. Let v(q) = 6*q**2 + 187*q - 8. Calculate 4*j(t) - 11*v(t).\nAnswer: 2*t**2 + 187*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k*k**(-25))\/k*k))\/k)\/k**(4\/9))\/(k**(5\/3)\/(k**(-23)*k)))**(-15) assuming k is positive.\nAnswer: k**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*p**2 + 93*p**2 - 59*p**2 in the form f + z*p**2 + k*p and give z.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 7*g**2 - 6*g + 2. Calculate the smallest common multiple of 38 and v(8).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 240\/278303, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6. Let x(j) = j**2 - 1. Let n be x(i). Let s(t) = -11*t**3 - 2*t - 1. Let c be s(n). Solve 4*h - 17 = a, -c = -5*a - h + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -132, 2317, 6410, 12147, 19528?\n\"Answer: 822*t**2 - 17*t - 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -264*q**3 - 338*q**3 - 22*q**2 - 34*q**2 - 37*q**2 + 1 - 6*q**2 wrt q.\nAnswer: -3612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20001*u**5 + u**2 - 245*u wrt u?\nAnswer: 1200060*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11313 + -202?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/6 - 10\/15. Let g = 8428 - 25285\/3. Which is the third biggest value? (a) 3\/5 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(6\/13)*y)\/y**(-2\/9)*y**(-10)\/(y\/(y\/y**(-2\/19))))**(2\/17))**(-6\/35) assuming y is positive.\nAnswer: y**(1832\/12597)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/6 + 23*q**2\/6 - 35*q.\nAnswer: q*(q - 7)*(q + 30)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -219, -87, 139, 465, 897?\n\"Answer: t**3 + 41*t**2 + 2*t - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92 and 10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7035 divided by -7\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.2, 1\/6, 580\/9, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 542 - 606.5\nAnswer: -64.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 90 = k. Let j(v) = -v**3 - 10*v**2 + v + 10. Let d be j(k). Solve d = h - 0*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let h = 1892\/8595 - -2\/955. Sort n, -0.5, h in ascending order.\nAnswer: -0.5, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 77 + 5*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7\/(m\/m**(-5)*m))\/(m**(2\/5)*m)**8 assuming m is positive.\nAnswer: m**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - 12 - -2 - (-608615)\/28*4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -1488.7.\nAnswer: 148.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5051947.32 rounded to the nearest one hundred?\nAnswer: -5051900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44202124002 - -1?\nAnswer: -44202124001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.02 + 0.52. Sort 1\/9, -5, y in increasing order.\nAnswer: -5, y, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 2.2 in ascending order.\nAnswer: -4, -1, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 191 and 381\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 8\/(4\/2). Let o = 3 - j. Suppose k + 36 = o*k. Calculate the least common multiple of k and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2508, -0.3, 1150\/13, -4 in descending order.\nAnswer: 2508, 1150\/13, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3256 (base 7) to base 10.\nAnswer: -1168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 10:19 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from bnruq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2054 = 121. Suppose -2*c = c + 675. Let p = s - c. What is p rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25016960077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 - 84.3. What is the closest to 8\/5 in -2\/7, a, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4*y + 39 = 0, 0 = t + 2*y + 28 - 45 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 16\/52)*(-3)\/(-2). Which is greater: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 6)\/(7\/1 - 8)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 13*y + 16. Let s be i(-16). Suppose -5*d = s + 66. Let k = -5 - d. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0497265045 and -0.2.\nAnswer: -0.1502734955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*j + 10 = 0, -5*j = -x - 4*x. Is 9 a factor of (-6)\/12*x*-72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**5\/270 + u**4\/27 + u**3\/9 - 21*u**2\/2 - 4. Let d(t) be the second derivative of q(t). Factor d(x).\nAnswer: 2*(x + 1)*(x + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34267 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3466138, -6932275, -10398412, -13864549, -17330686, -20796823?\nAnswer: -24262960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106\/1089 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5442809807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6804 - -0.11441192?\nAnswer: -6803.88558808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10266 and 719577?\nAnswer: 84910086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.302 - 1.0592. Round v to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**3 - 13345*r**2 - 8633970*r + 78790320 = 0?\nAnswer: -1544, -1134, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmiilliip. Give prob of sequence pl.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 + 6 - 3*x + 2*x + 45*x**3 + 55*x**3 + 23*x**3.\nAnswer: 116*x**3 - x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 12*c**3 - 6*c - 9. Let v(z) = 36*z**3 - 17*z - 26. Give 17*t(k) - 6*v(k).\nAnswer: -12*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3864\/(-1472)*(-18)\/21*-12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k**2 + 2*k**3 + 7 - 4*k**3 + 3*k**3 - 5*k. Let l be a(-6). Suppose 2*h - 695 = -l. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**5\/30 + 7*o**4\/24 - 3*o**3\/2 - 8*o**2. What are the prime factors of z(4)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -51\/20*v**5 + 111*v + 0*v**4 + 23*v**3 + 0*v**2 + 0. Find the second derivative of l(p) wrt p.\nAnswer: -306*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 1, o: 1, s: 1, u: 2, a: 1}. What is prob of picking 1 j, 1 a, and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - p + 88 = 0, 3*b - 4*p = 7*b - 64. Let k = b + -13. Suppose 0 = -k*x + 10 + 5, -x - 67 = -5*u. What is the least common multiple of 20 and u?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -169, -244, -301, -334, -337, -304?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 10. What is d(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1 - 1 = 0. Suppose -1255 = -5*y - 5*f, 3 = -f + p. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.328888721688 + -0.026?\nAnswer: -0.354888721688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41467 = -4*w + 3*b, -w + 8*b - 10*b = -10375. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Let p be 1 + (s - 2) - 0. Let w be (-3)\/(-18)*(-4)\/(-2). Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bb (base 13) to base 12.\nAnswer: 22b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 - 72. Suppose 14*o = x*o - 585. What is the greatest common factor of 78 and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22047136 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 7)*(-2 + 3 - 3)*(1 + 2 - 1)*(24*h - 7*h + 25*h + h**3).\nAnswer: -4*h**3 - 168*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 12:57 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -8. Let f = -2 + y. Let s = -0.22 + 0.12. Which is the third biggest value? (a) s (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 18, q: 2}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2*z - 2)*(3 - 4 + 2) + (-2 + 2 + z)*(-9 - 3 - 1))*(43*z - 54*z + 67*z) as o + g*z + m*z**2 and give m.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttmttttytttttttttymt. Give prob of sequence mm.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -46556?\nAnswer: 46559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1117 and 64290052?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 8:32 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*r + 8 = 0, -3 = 2*u + 2*r - 7. Suppose -4*x = -3*n - 2 - 18, 3*x - 15 = -u*n. Solve n = 2*y + 2*g - 14, 0 = y + 2*y + 2*g - 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/18 - 212\/(-3). Let h be (561\/55)\/(-2*(-2)\/20). Let q = k - h. Solve -6*r - q = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15913*m**3*n + m**3 + 65*m**2*n + 3*m**2 - 2*m + n - 30124 with respect to n.\nAnswer: -15913*m**3 + 65*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-6)*(-9)\/18*-4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 20 = -4*o, -6*o + 5*g - 12 = -22 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -120870 divided by -51\nAnswer: 2370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004513 rounded to seven decimal places?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = l + 3*g, -126 = -14*l + 18*l - 3*g. Suppose 0 = k - 0*k. Suppose -5*d - 2*d - 224 = k. Is l at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (3 + 9 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84.269 - -0.169. Let b = 5.1 + q. Let r = b - -79.041. What is r rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1957*g**3 + 27075*g**2 - 15109311*g?\nAnswer: 11742*g + 54150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 6:09 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.71? (a) 1 (b) 0.5 (c) 5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 9270302?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.305863 to three dps.\nAnswer: 0.306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(80) - (sqrt(80)\/sqrt(4))\/sqrt(4).\nAnswer: -1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/1091539 and 27\/11?\nAnswer: 12006929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 1427 + 1431 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(1\/2))**(-10)\/(z*z**(-1))**32 assuming z is positive.\nAnswer: z**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 6:36 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 100*h**3 - h**2 - 3*h + 6. Let f(d) = 4*d + 7. Calculate the remainder when c(1) is divided by f(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 29. Let b(a) = -a. Let j be b(0). Suppose 222 = o*h - j*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 228 + -252 - (-23 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 10:04 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9538, 2, 2\/7, -0.5 in decreasing order.\nAnswer: 9538, 2, 2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1 (b) -129 (c) -0.106 (d) -85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -47231*f**2 + f**4 - 1 - f + 23612*f**2 + 23618*f**2 + 24*f**3 in the form o*f + s*f**3 + l*f**2 + p + v*f**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 + 132*q - 35. Calculate x(-42).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 215024 (base 6) in base 11?\nAnswer: 12533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.99 - 3.0166. Let b = k - 0.9054. Let g = -0.132 - b. Sort g, 0, 1\/3 in descending order.\nAnswer: g, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5 - 7. Suppose 5*m + 454 = 8*j - n*j, 578 = 5*j - m. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let r = -5 - -10. Let y = -3 + r. Let o(d) = -d**2 + 9*d - 9*d + 2*d**y. Determine g(o(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 5 (c) 222 (d) 2\/3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0339547 rounded to 4 dps?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 119*h**3 - 6*h**2 - h + 1. Let d(u) = -2*u**3 + u - 1. Give d(k) + g(k).\nAnswer: 117*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1 - 2*o + 3 - o + o**2. Let l(w) = -2*w - 3. Let n = -6 - -3. Let i be l(n). Calculate q(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -350, 5 in decreasing order.\nAnswer: 5, 0.2, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19442*h - 19434*h = 746264. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119545820 rounded to the nearest one hundred thousand?\nAnswer: -119500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5505*j**3 - 8496*j**2 + 477*j + 2514.\nAnswer: 3*(j - 1)**2*(1835*j + 838)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15723211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -13*c. Let v(l) = 0 + 12*l + 8 - 8. Give 4*v(m) + 3*x(m).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118 - -117.947. Let m = s + 2.053. Let h = 4.7 - -0.3. Which is the closest to 0.3? (a) m (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164 and 35036.\nAnswer: 1436476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 7264.2?\nAnswer: -4358.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 31*b - 48 = -5 + 29, 4*z - 4*b = -12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 7*v**6\/30 - 7*v**3\/2 + 42*v**2 + 7*v. Let i(b) be the first derivative of m(b). Differentiate i(h) wrt h.\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68272 (base 9) to base 2\nAnswer: -1011000101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*s**2 + 0*s - 2\/3.\nAnswer: 2*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 6*u + 15. Give g(5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 35*j - 870. Let t be s(25). Solve 4*h + 41 - 21 = 4*m, -3*h = t*m - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12976, 12836, 12696?\n\"Answer: -140*w + 13116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -152, 1\/5, -0.6, -13, -131, 1\/4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i + 3 + 2*i - 1 - i as y*i + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -2.975.\nAnswer: -8.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2970\/31 - -145499\/1519. Which is the third biggest value? (a) -2\/19 (b) 1\/8 (c) w (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11544650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 * 20685\nAnswer: 3309.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20161 + -2c?\nAnswer: -20190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15385 - -15403. What is the greatest common divisor of 19566 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 3120 (c) 176 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 667 - 4375 = -3*t, -x + 3*t = -3672. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m. Let b(g) = -5*g + 67. Let v(y) = -3*y - 81. Let k(d) = -d - 41. Let o(r) = -9*k(r) + 4*v(r). Let s(w) = -5*b(w) + 7*o(w). Calculate u(s(c)).\nAnswer: 8*c - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 68*z + 1148. Let l be a(-14). Let u(h) = -3*h - 1. Let r be u(-1). Solve -d - d - r = l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2. Let c be (-11 - -1)*(-5)\/10 + -3. Let p(y) = 3*y - 3*y - 12*y**c. Determine n(p(w)).\nAnswer: -288*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.4? (a) -2\/13 (b) 1 (c) 0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 2. Let y = -10 + 9.6. Which is the closest to 0.1? (a) v (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-2 - (3 + -4)). Let h be 1\/((8\/(2*-2))\/(-28)). Let o be h - (-3 - (-1 - p)). Solve 4*i + o = -2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1666 + -1666. Suppose o - 57 = 3*y, 5*o - 2*y = -0*y + 350. Suppose -4*a + o = -u. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 1) + 0 - -19.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.5 - -16. Let y = -2 + 2.08. Let g = y - 3.08. Which is the second biggest value? (a) m (b) 1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -139 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 2:29 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.531832 years to months.\nAnswer: 18.381984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/11466 and -47\/168.\nAnswer: 45864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 + -0.5. Let r be (-8)\/126 - 2\/9. Let s = 11 - 8. Which is the second smallest value? (a) r (b) m (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52\/139 + -1233\/695. Let h = -2.3 + 1.4. Let w = 1 + h. Is w equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 784051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zozadzdzzzza. Give prob of sequence az.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2360.9 - 2364. Let q = 1\/38 + -85\/342. Put m, 2\/9, q in descending order.\nAnswer: 2\/9, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3129707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, d: 10}. Give prob of picking 3 d.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 5:37 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -37, -43?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 - 2*o**4 + o**4)*(195 - 195 - 19*o + (2*o + 1 - 1)*(2 - 1 - 3) + 2*o - 3*o - o).\nAnswer: 50*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 14 = -2*s, 0 = s + 5 - 0. Let c(o) = 7*o + 3. Let h(w) = -14*w + 25*w - 1 - 10*w - 4*w. Give k*c(d) - 5*h(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = s - 1030 + 995, h - s - 1 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*d - 21*d - 8229. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10237*2.7\nAnswer: -27639.9","meta":{"dup_signals":{},"source":"arithmetic__mul_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: 26360 divided by 10\nAnswer: 2636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3549 = 51*u + 642. Suppose 0 = 5*i + 10, -5*n - 2*i = 32 - 128. Calculate the remainder when u is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, l: 7, h: 1, p: 2, a: 1, v: 4}. Give prob of picking 1 v, 1 m, and 2 l.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + 6*n**2 + 9400*n**3 + n - 9*n**2 + 29.\nAnswer: 9400*n**3 + 3*n**2 + n + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -44, -69, -110, -173?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -500.5*10.36\nAnswer: -5185.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 - -110.7. Let t = -16 - -15.9. Which is the nearest to t? (a) 2 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2. Let l(p) be the third derivative of 17*p**4\/24 + 12*p**2. Calculate w(l(r)).\nAnswer: 289*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 80 = 90. Factor -2\/3*v**4 - 2\/3 - 2\/3*v + 4\/3*v**3 + 4\/3*v**2 - 2\/3*v**k.\nAnswer: -2*(v - 1)**2*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -228 + 228 + 9*m to the form d*m + u and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/(-3)*(-36)\/7. Suppose 0 = -5*k + 2*k + b. What is the lowest common multiple of 10 and k?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*t - 110, 4*t = 3*g - 2*g - 24. Suppose g*y - 6455 - 7713 = 0. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 2:36 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.026056281 from -1.\nAnswer: -0.973943719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -14. What is the common denominator of 69\/2 and ((-96)\/s)\/1 + 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 + 167517*h**2\/5 + 1401873591*h - 102515389565.\nAnswer: (h - 73)*(h + 83795)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21588\/(-1260) + (-17)\/(-1) + (-406)\/(-120)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327610?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 2)*1 - -5. Suppose 2*g - k*g = 140. Let q = g + 51. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) + sqrt(26) + sqrt(26) + sqrt(52)\/(sqrt(6)\/sqrt(3)))*-6)\/((sqrt(2) + sqrt(32))*-6*3).\nAnswer: 4*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 11) to base 14\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 7131591?\nAnswer: 7131590.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-27) + ((-8)\/(-3))\/(-8). Let a = -8508\/23 - -370. Which is bigger: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 0, -4.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 10, 4 = -d - 2*y - 6. What is the tens digit of (-3750)\/(-4) - (15\/d - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 21*f**2 + 24*f + 3. Let d(v) = -20*v**2 - 24*v - 2. Let g(o) = -3*d(o) - 2*z(o). What is the second derivative of g(u) wrt u?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 104.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12832776 and 9916236?\nAnswer: 218157192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 2:48 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 333 divided by 985?\nAnswer: 333\/985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 198*j - 3. Let q(g) = g**3 + g**2 - 41*g + 8. Let r be q(-7). Is k(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3 - 2*c**2 - c**2 - 2. Calculate o(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 - 4*k - 2. Let b(v) = v**2 + v. Give 4*b(l) + y(l).\nAnswer: l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077064 to the power of 1\/2, to the nearest integer?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132587 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-67 + 1) - (-39 - (32 + (-7 - 71)))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*t - 20 = 0, -8 = -4*d - 0*t - 4*t. Suppose 0 = -v - 1 + d. Find the third derivative of -3*u**5 + 16*u**5 - 25*u**2 - 6*u**v wrt u.\nAnswer: 420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.14045 + -3981312677.\nAnswer: -3981312674.85955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*x - 244 - 218 + 489 as k + t*x and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -599, 0, -3, 1, 3 in increasing order.\nAnswer: -599, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/5 + 336*d**3\/5 + 27197*d**2\/5 - 34542*d + 233928\/5.\nAnswer: (d - 4)*(d - 2)*(d + 171)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*(j\/(j**(1\/9)\/j))\/j)\/j)**(9\/10)\/((((j\/j**(-6\/11))\/j)\/j)\/j**(1\/6)) assuming j is positive.\nAnswer: j**(383\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*p - 164*p + 58*p to x*p + i and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 4.04. Let g = 5.34 + a. Let r = g - 4. What is the second biggest value in 3\/2, r, 1\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(8\/1*(-4896)\/(-1152))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.49656ng to grams.\nAnswer: 0.00000000549656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 29440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1821?\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*i + 84, -20*x + 15*x + 210 = -3*i. Let t be 24\/x + 1992\/42. Calculate the highest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146*f**3 + 100*f**3 + 4*f - 2*f - 3*f to the form p*f**2 + s + y*f**3 + r*f and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, -9563, -13 in increasing order.\nAnswer: -9563, -13, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*(-1*sqrt(1584) - sqrt(1584)))**2.\nAnswer: 912384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1703, 8025, 18971, 34541, 54735, 79553, 108995?\n\"Answer: 2312*z**2 - 614*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66*107.\nAnswer: -7062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4172 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49437275*a**5 + 105538*a + 48 wrt a.\nAnswer: 988745500*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 5, p: 15}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o + 187 + 605. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03743419 to 5 dps.\nAnswer: -0.03743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/4)\/((-2)\/(-4)). Suppose 3*q + 1 = x. What is the highest common factor of 18 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by ((-3)\/5)\/(5\/(-225)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/12 + 34\/(-72). Let t = 9.9 + -11. Let v = t + -2.9. What is the second smallest value in v, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1005, -5 in increasing order.\nAnswer: -5, 0, 1005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2664677767.\nAnswer: 17, 53, 1579, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 16\/6 + (-1090)\/6. Let p = 11 - f. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 6:42 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-89)\/4 - ((-3030)\/120 + 24)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -38) + -44 - -26?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*b + j - 45, 0 = -b + 5*j - 13. Let m = 15 - 1. Suppose -2*x + 3*k - 7*k = -m, -3*x = -k + b. Do -3 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-45) + (-69)\/(-27) + -2. Which is the closest to -3\/5? (a) z (b) 0.4 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-9)*7092\/(-4137).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -48.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(1\/2))\/n)\/(n**3\/n))\/(n*((n\/(((n**(1\/2)\/n)\/n)\/n))\/n)\/n*n)**(-6\/23) assuming n is positive.\nAnswer: n**(-73\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25025 + -40?\nAnswer: -25065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17, -137, -339, -623, -989, -1437, -1967?\n\"Answer: -41*u**2 + 3*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4\/11 + 4376*p**3\/11 + 1758294*p**2\/11 + 198400320*p\/11 + 196646400\/11 = 0.\nAnswer: -1707, -240, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**3\/2 + w**2\/2 + 113*w + 2. Let u(q) = q. What is -h(y) - 5*u(y)?\nAnswer: -8*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.97 + -3.97. What is the third biggest value in 0.09, -0.2, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/22967550 and 71\/9720.\nAnswer: 275610600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**4\/4 + 2*x**3\/3 - x**2 - 2*x + 13. Calculate t(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3677*m - 1674. List the prime factors of r(4).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 0*k - k - k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = r - c - 6, 0 = r + 2*c. Let s be 3\/r - 97\/(-2). What is s rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7 + 3311*g**3 - 8*g**2 - 3309*g**3 + 7.\nAnswer: 2*g**2*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-10)\/u)\/u)\/(u\/(u*u**(-13))))**(-23))**40 assuming u is positive.\nAnswer: u**23000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 9*d**2 + 6*d. Let v be s(10). Suppose -y + 4*l = 26, -v = 4*y - 5*l - 56. Let o = -24 - y. Let i(q) = -q**3 + 4*q**2 - 3*q + 2. Give i(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - 0) + 1 + -3. Suppose l + 3 - 5 = t*g, 3*g = -3*l + 60. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 159203190*a + 1267282785308805.\nAnswer: 5*(a - 15920319)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 19 + 3 = 0. Let c = l + 11. What is the derivative of 4*j**2 + 2 - 4 - c + 1 wrt j?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 5*b - 12 + 7, 0 = 2*b + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -0.2, -2682, 0.5, 18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {g: 3, e: 4, x: 7, p: 4, c: 1, w: 1}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 386132888 and 296.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -3 - 54\/36. Which is the nearest to 0.1? (a) -3 (b) -59 (c) 0 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -1 - 4\/5*o**2 + 25*o - 3\/10*o**4 - 1\/25*o**5 - 4\/5*o**3. Factor h(s).\nAnswer: -2*(s + 2)**2*(2*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqqdqpbiadbadii. Give prob of sequence dbd.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -68\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -99, -16, 71, 162, 257, 356?\n\"Answer: 2*k**2 + 77*k - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + f - 8 = 0, -6*f + f + 28 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-36))\/((-42)\/54))\/((-18)\/49)?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4777*k**4 + 636*k**3 - 2810699*k**2 - 1 wrt k?\nAnswer: -114648*k + 3816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w - 26. Let i be n(-10). Suppose -5*s + s + 8 = 0. Suppose i*r - 2*r - 7 = 3*p, -r + 6 = -s*p. Let d(q) = q. What is d(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24866821 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-152))\/((-236698)\/(-1635368)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 6 = -2*b - 2*d, 2*b - 5*d - 34 = 0. Suppose -12*f + b*f = 5. Let k = 0.25 + -12.25. What is the smallest value in f, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2140617 to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6865 - -755?\nAnswer: -6110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 12 - 2 - 1.\nAnswer: -2*w - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2989*i - 2745*i = 9543 + 3389 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 8*x - 12. Let j be b(3). What is the highest common factor of j and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 + 2*w + 7. Determine y(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043 < 61279\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116166 (base 8) to base 12.\nAnswer: 1b21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.5344 rounded to one decimal place?\nAnswer: -31.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11 + 0.01. Let f = 0.54 + 0.06. Let c = -0.2 + f. What is the closest to -1\/4 in 1\/4, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-7)\/(-4)) + 207\/(-828)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 1 - 1 + (-3 + 2 - 4)*(0 + 0 - 4*m**2) + 2*m**2 + 0 + 0.\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1152*t = -2990*t - 1026*t + 22912 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (4 - 6) + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x = -110*x - 51*x + 3003 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4646 - -13939\/3. Which is the nearest to -1? (a) h (b) 1 (c) 0 (d) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 110\/22 - (2 + 0 - -415). Round m to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.86 + 0.16. Which is the second smallest value? (a) 1 (b) 1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1300*k**5 + 37*k + 119*k**5 + 5058*k**5 - 3 wrt k.\nAnswer: 77540*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 99?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 9 + 31. Suppose z = 2*x + 100. Let n = -92 - x. What is the common denominator of -1\/2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 196*h**2 + 196*h**2 - 12*h**3.\nAnswer: -12*h**3 + 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -11*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*c + 1 + 0 = 0, -3*s - 11 = 5*c. Let a be 18\/(-117) + s\/13*-1. Suppose -25 = 5*u - a*u, 5*u = -3*q + 32. Solve -5*x = q - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 6:40 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 - 14 = -4*m - 5*h, 0 = 4*h + 4. Is m not equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)\/(a\/a**(-7)))**(-40) assuming a is positive.\nAnswer: a**560","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 1, 14, -3, -8, 5 in decreasing order.\nAnswer: 26, 14, 5, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547662898.\nAnswer: 2, 59, 4641211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2274 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/((-12)\/8)*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 7:28 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 111*z**2 + 121*z + 2. Let p(y) = -7 - 484*y - 446*y**2 - 30 + 28. Let x(b) = 2*p(b) + 9*t(b). Find the second derivative of x(d) wrt d.\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from ikbdynb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -16*o**2 + 2*o - 39. Let m(h) = -h**2 + h - 4. What is -l(b) + 3*m(b)?\nAnswer: 13*b**2 + b + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -36*((-351)\/(-144))\/39\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3717 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 35 = -5*h, -5*w - 6047*h + 6053*h = 44 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55351130 (base 7) to base 14.\nAnswer: 8c1c87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 21036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(-5 + sqrt(300) + 0 + sqrt(300)*-2)*-1 + -1)**2.\nAnswer: -46564 - 13920*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 1. Suppose 0 = 3*b + 57 - 63. Suppose 2*j = b*u - 8, 0*j = -2*u + 5*j + 11. Solve -10 = -5*c - w*f, u*f - 22 = 4*c + c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400980 divided by -80196.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*h + 50*h = -18. Solve -3*n = 2*t + 2*t - 3, -4*t = -3*n + h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1044 - -4?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 196*i**2 + 226*i - 83328. Give n(197).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**3 + 8*n**4 + 3*n**3 - 17*n**4 + 12*n**4 - 4 + 3*n**3 in the form u*n**2 + v*n + g*n**3 + i*n**4 + y and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 211 - 1*(-4)\/(-2). Suppose -z + 4*z - 2*n = 128, -5*n = 4*z - q. Let l = 1 + 1. Calculate the lowest common multiple of z and l.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17410 or 17445?\nAnswer: 17445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -25*(-30)\/2925*18\/5?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 376 + -376. Solve -5*z + 3*z + 8 = t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryryyrppyy. What is prob of sequence yrpr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -5355.\nAnswer: -1\/1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v + 3. Let q(d) = 2*d + 51. Let u be q(-20). Suppose -3*l + 57 = 18. Let h = l - u. What is t(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37506\/(-3591))\/(152\/72 + -2 + 0)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15162, -30164, -45164, -60162, -75158, -90152?\nAnswer: -105144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 12474 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -139*u - 3. Let h(g) = g + 1. Give 2*h(m) + v(m).\nAnswer: -137*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 812660 or 812321?\nAnswer: 812321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 - 95. Let l be (-2)\/(-1)*4\/t. Sort 3, 4, l.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5427*u**5 + 5844877*u**4 + 2098309407*u**3 + 251097176847*u**2 - 92536558*u.\nAnswer: u*(u + 359)**3*(5427*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -138 - -270 - (61 + 6)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.28734 rounded to 2 dps?\nAnswer: -2.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 282 times -5\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101553812 is divided by 20310760.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**3 - 3*k - 3. Let x(l) = l**3 + l**3 + 2 + 2*l - 6*l**3. Let u be 1 - -8 - (-6 + 8). Let i be 2\/(-2)*21\/u. What is i*x(s) - 2*m(s)?\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 - -0.5. What is the smallest value in -0.5, 4, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-1) - (3 + -19). Let b be ((-5)\/((-10)\/p))\/((-15)\/(-10)). Suppose 4*u - 8*v - 28 = -b*v, -2*v = -5*u + 38. Solve -u*y - 20 = -12*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -873*a**3 + 2*a**2 + 3*a + 2. What is the tens digit of u(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*r*w**2 + 292*r*w - 585*r - 125*w - 168 wrt w?\nAnswer: 16*r*w + 292*r - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*y**2 + 134*y - 69*y + 359*y**2 - 66*y + 661*y**2.\nAnswer: 756*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1898 = -5*f + 4*k, -6*f - 4*k = -f - 1922. What are the prime factors of f?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 661 - 668. Let q = 3 - 2. Let y be -2 + 9 - (q - -1). Which is the biggest value? (a) 0.4 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -17*g**2. Let c(l) = 2*l - 31. Give q(c(d)).\nAnswer: -68*d**2 + 2108*d - 16337","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 24, -3\/7, 5, 1, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) 1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-5)\/(-3) + (-252)\/54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 2. Let b = -19 + 15. Let j = 6 + b. Calculate v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 1) + -8 - -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4789 + 4788.9999995554. What is o rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 4*n**2 - 3*n + 2. Let o = 1 + -4. Let m be l(o). Suppose -5*f = -m*f. Put f, -4, -3 in decreasing order.\nAnswer: f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88 - 78 - (2 + -4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18341143?\nAnswer: 23, 113, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = 10*k - 6 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 - 15942*s**3 - 63744*s**2 - 63736*s.\nAnswer: -2*s*(s + 2)**2*(s + 7967)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1430 + -1298. Calculate the least common multiple of a and 352.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 t when three letters picked without replacement from sttststtttt?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 3, l: 1, q: 13, g: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105332*i*k**2*r**2 - 2*i*k**2*r - 3*i*k + 2*i*r**2 - 164290*k**2 - 6*k*r**2 - k*r + 4*r**2 wrt r?\nAnswer: 210664*i*k**2 + 4*i - 12*k + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*j + 180*j + 25 + 7 - 32 in the form l + k*j and give k.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 16. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 12*t + 112. Let z(c) = 5*c + 0 - 2 - 2*c. Calculate the remainder when i(-17) is divided by z(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4 = -4*z. Suppose 0*w = 2*w - 4*j + 4, z*w + 3*j = 31. Let h = w + -3. What is the closest to -0.2 in 2\/7, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + -1 + ((4 + sqrt(28)\/sqrt(4))**2 - sqrt(7)) - ((sqrt(189)*2)\/sqrt(3))\/sqrt(9))*-3.\nAnswer: -51*sqrt(7) - 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 1497 in descending order.\nAnswer: 1497, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 7*l + 8. Let v be i(6). Let q(d) = 2*d**2 + 4*d + 0*d**2 - 3*d**2 + v + 3. Let o(x) = -3*x**3 - x. Let h be o(-1). Calculate q(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-9))\/(12\/9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -42, -8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6 + 4 = 0. Let n(t) = -t**3 + 6*t**2 - 4*t - 2. Let z be n(5). Suppose v - z*v + w = 0. What is the nearest to -1 in v, 1\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -1\/5 (c) -2 (d) 1\/5 (e) -347956\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40459 (base 12) to base 7.\nAnswer: -465462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 255141 and 608.\nAnswer: 255749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0) + 5 + (80 - 90)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-21) - (-132)\/(-21). Let o(p) = -p**2 - 12*p - 4. Let a(w) = w - 1. Let d(q) = -4*a(q) - o(q). Determine d(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -249560*j**5 - 277*j - 328?\nAnswer: -4991200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10421*m**3*z**3 + 4382*m**3*z**2 - 74*m**2*z**3 + 2*z**2 - z wrt z.\nAnswer: 62526*m**3 - 444*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1874756?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*a = 24504, -3*a + 2818 = f - 2088. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(28)\/sqrt(2))\/sqrt(2) + -3.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**30\/p**25*(p\/(p\/p**1)*p)\/p*(p**(-1\/2)\/p*p)\/p assuming p is positive.\nAnswer: p**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 321937, 2, -3\/2, 3, -2 in descending order.\nAnswer: 321937, 3, 2, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12, 8050, -42\/13, -3?\nAnswer: 8050","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.423 and 4.985.\nAnswer: -2.108655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 8*m**7\/7 - 2636*m**6\/5 + 1750179*m**5\/20 - 22154359*m**4\/4 + 52692235*m**3\/2 - 97127175*m**2\/2 + 1567*m. Factor w(v).\nAnswer: 3*(v - 109)**3*(4*v - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*j**3*n*p + 204416*j**3*p - 3*j**3 + 63*j**2*n*p + 7655*j*n + n*p + 3 wrt j?\nAnswer: -48*n*p + 1226496*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-1)\/((-3)\/6). Let l = -514.71 + 519. Let q = l + -1.29. Which is the closest to q? (a) 0.1 (b) -0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n + 4*m - 104, 38 = n - 3*m. Let g(y) = 4*y**2 + 27*y + 45. Let f be g(-11). What is the greatest common factor of n and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/50, 0.2, -2, -13\/18?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 - -48. Let b = i - -82. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17304, -34610, -51916, -69222, -86528, -103834?\n\"Answer: -17306*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/53 - -128\/583. Let d = 3988\/7 - 570. Suppose 7*v = 3*v - 4. What is the nearest to v in o, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.050606 to 4 decimal places.\nAnswer: 0.0506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 4*p**2 - p - 12. Let w be u(-3). Which is the second biggest value? (a) 12\/11 (b) w (c) -0.5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 5*t + 3*n + 22, -3*n - 18 = -3*t. Suppose -t = -s, 3*q - 1874 = -8*s + 4*s. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j\/j**(1\/5)*j)))\/(j*j**(-13)) assuming j is positive.\nAnswer: j**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**4\/12 - r. Let w(s) = 16*s**2 + 16*s**2 + 8*s**2 - 39*s**2. Let a = 8 - 14. Give a*l(g) - 7*w(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-4))**(32\/7) assuming c is positive.\nAnswer: c**(160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b + 3. Let m(k) = -4*k + 14. Let q(l) = l - 5. Let h(o) = -3*m(o) - 8*q(o). Give -6*h(u) - 4*j(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7260 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 784724593 a multiple of 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 4, -0.111, -4, 0.19 in increasing order.\nAnswer: -4, -0.111, 2\/11, 0.19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**4*c - 25*b**3*c + 6*b**2*c + b*c + 7*c wrt b.\nAnswer: -96*b*c - 150*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 33. Let m = 213 + -201. What is the remainder when 151 is divided by l(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/193200 and 157\/57960.\nAnswer: 579600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.31 - -12.69. Let q = p + -13.3. Which is the second smallest value? (a) -1\/3 (b) q (c) 0.2 (d) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84724?\nAnswer: 2, 59, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001329 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 4)*(17*w - 17*w - 10*w**2)*(4*w**2 + 1 - 1) to h*w**2 + y*w + j*w**4 + v*w**3 + d and give j.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**4 + 24492*b**3 - 1604655*b**2 = 0. What is b?\nAnswer: -8229, 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6681*m + 30 = -6675*m. Solve -m*s + 9 + 11 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*a - 3 = 61*a + 3*f, -2*f = 5*a + 30 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/9)\/((-2)\/(-21)). Solve -5*i + d*i + 4 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340\/2680*-37*2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 4 = 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -122983\/22 at least -5589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*13.6591.\nAnswer: -0.409773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12081009059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109799 and 60298?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3136278948?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*v + 1364, -2*v - 1716 = -7*v + 3*k. Suppose 0 = -8*p - 38 + v. Suppose 4*b - p = -102. Is -18 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38.917 and -3.\nAnswer: 35.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-159896)\/(-48))\/79 - (-407)\/222\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1 = 0, -5*a + 2*a = -5*t - 41. Suppose q = 3*q - a. Suppose -3*n = -0*n + q. Which is bigger: n or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16315\/7 + 2331. Let g = 0 + 0.1. What is the second biggest value in s, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - u**2 - 2*u + 7. Let q be a(3). Suppose 3*r - q = -j - 5, 4*r + 3*j = 17. Solve 3*g - 7*g + r*d = -17, -2*g = -4*d - 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 62947260*g = -62947264*g - 20, 3 = 4*j - g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1945 + -4.7945. Let m be ((-1)\/(-4))\/(13\/4 + -5). Which is the biggest value? (a) m (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 52, 66, 94, 142, 216?\n\"Answer: o**3 + o**2 + 4*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 5.1.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 8:24 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 4*v**2 + 7*v + 7. Let t be c(6). Let n = t + 39. What is the remainder when (1 - -2)\/(18 + (-9933)\/553) is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 163*l**5\/5 + l**4\/6 + 5*l**3\/6 + l**2\/2 - 16*l. Let n be c(-3). What is n rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34829038 smaller than -34829036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65814 is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -b + 2*v - 0*v, -3*v + 66 = -2*b. Let q = b + 29. Suppose 108 = q*z - 22. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - 0.23. Suppose -2 = -4*r + 5*i - 61, 4*r - i = -47. Let j = -6 - r. Which is the second biggest value? (a) 3 (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 17.202?\nAnswer: -17.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.4 (b) -2\/43 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30318 and 326?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 736133 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 0)*1 + 5. Let s = -6 + 12. Solve -s = 4*w + b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16105 (base 9) to base 14.\nAnswer: 4033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*z + n, -27 + 18 = -z + 3*n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 2*s**2 - 2*s - 1. Let i be l(3). Let u(w) = 2*w - 32*w**i + w**3 - 5*w + 35*w**2. Give u(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 290466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 666.\nAnswer: -5328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -38. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50464 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*s**4\/5 + 158*s**3 + 916*s**2\/5 - 472*s\/5 + 48\/5 = 0. What is s?\nAnswer: -6, -2, 2\/13, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -37, -42, -55, -82?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/11? (a) 5 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 6*h - 51. Let t be v(-11). Let i(g) = 27*g**3 - 9*g**2 + 14*g + 9. Is i(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 2. Let b(k) be the third derivative of k**4\/24 + k**3\/3 - 2*k**2. Determine -2*b(n) + 3*h(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 138. Factor 194 + 1271 + q**2 + 1415 - c*q - 576.\nAnswer: (q - 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/((-7395)\/116))\/((-6)\/(-10)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 3)\/((-6)\/4). Let h = -3.4 - 0.6. What is the second biggest value in 2\/11, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.23 * 734.5\nAnswer: 903.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -208? (a) 0.06 (b) 1 (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**4\/48 + 7*j**3\/4 + 441*j**2\/8 + 3*j - 79. Factor w(k).\nAnswer: (k + 21)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.06 - 0.06. Let r = 1243 + -1243.05. Which is the third biggest value? (a) q (b) -1\/2 (c) 5\/6 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204 (base 9) to base 16\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*a + 8, -3*v + 27 - 7 = 5*a. Solve v*y = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13642031.\nAnswer: 13, 1049387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*w + 18*w + 15. Suppose 3*q + 144 + 99 = w*v, v - 46 = -2*q. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v**3\/5 + 21*v**2\/5 + 108*v\/5 + 12 = 0 for v.\nAnswer: -2, -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4*u - 16 - 0, 0 = 2*b + 5*u + 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0+13024.7865\nAnswer: 13024.7865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1433 = 359. Let c be (116\/145)\/(12\/310)*51. Let t = w + c. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, -0.2, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 10*v = -8*v + 18, 2*b + 3*v = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/5)*t*t**(1\/6)*t**(-7\/3)\/(t\/t**(-2\/5)*t))**(-1) assuming t is positive.\nAnswer: t**(131\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 13607*h**7\/210 + h**5\/60 + h**4\/12 + 5*h**3\/2 + 974*h**2 + h. Find the third derivative of x(l) wrt l.\nAnswer: 326568*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.43 - 1.01. Let v = 0.68 + u. Which is the closest to 0.1? (a) 0.06 (b) v (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -17*i**2 - 215*i - 2. Let a(g) = -4*g**2 - 2*g. Give 5*a(x) - u(x).\nAnswer: -3*x**2 + 205*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p - 1 - 9*p - 4)*(-2 - 1 + 4)*(p**3 - 5*p**3 - p**3).\nAnswer: 5*p**4 + 25*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*d + 4791 - 473 = 0. Let v(m) = m**2 + 29*m - 172. What is v(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.758832 millennia in centuries?\nAnswer: 37.58832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-2) + 10 + -5. Suppose 16947 = -n*o - 5053. Round o to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*g + 224*g - 909*g + 214*g + 8*g**2 + 225*g.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 272\/(-1088)*32\/(-14)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 6)\/7 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a century in months?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*f + 2*f**3 + 2*f**3 + 63*f.\nAnswer: 4*f**3 + 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 73 + 12 + (157 + -168 - (-6 - -1)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6 + 97971*d**4*m**3 + 3*d**2*m - 122080*d*m**3 + d*m wrt d?\nAnswer: 120*d**3 + 2351304*d*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10142*c**3 + 2*c**2 - c - 169076 wrt c?\nAnswer: 30426*c**2 + 4*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 1088?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 3, 2\/49?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (20*(-25)\/200)\/((-15)\/(-384))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/8496 and -25\/2060964.\nAnswer: 486387504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 236 - 233. What is the second smallest value in -2\/21, 5, d, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 4581586.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3055 = -11*b - 4073. Let c = -643 - b. Solve -i - i + w = -6, i + 6 = c*w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 631853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.64 - -4.64. Let j = -8.7 + 2.5. Let p = j - -6. Which is the nearest to p? (a) 5 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222189 + 0.06\nAnswer: 222189.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 12 + 2)*(18*t + 16*t - t) to c*t + h and give c.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((3\/(-5))\/3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5776005352?\nAnswer: 2, 13, 4969, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(-2*n**2 + n**2 + 5*n**2) - 83 + 7*n**2 + 83.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89.57 - -114.57. What is the third smallest value in h, -2\/3, 4, -1\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 3*c. Suppose o + c*o = 11. Let t = 142 + -120. What is the highest common divisor of o and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*4*-6 - -6*-3*sqrt(19)) + (4 + sqrt(95)\/sqrt(5))**2 + -6*(sqrt(19) + -3)**2.\nAnswer: -133 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 18*s**2 - 20*s + 18. Calculate l(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 - 2604*l**3 - 2601*l**2.\nAnswer: -3*l**2*(l + 1)*(l + 867)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-13\/3))\/o)**2\/((o*o**18)\/o*o**(-15)) assuming o is positive.\nAnswer: o**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 58*a**2 + 260*a - 200.\nAnswer: (a + 10)**2*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 + 5*m - 5. Let s(r) = r**2 - 3*r + 3. Suppose f + f + 554 = 4*g, 5*f = -25. Let b = g - 136. Suppose -w - 9*w - 50 = b. Give w*s(l) - 3*c(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6354 - 4205. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - 13*v - 21. Is h(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from fnnnfnjhfnnhfnhnjnnj?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.101 - 0.399. What is the smallest value in b, 2\/17, 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (sqrt(300) - (sqrt(300) + sqrt(300)*2)))\/((sqrt(72)\/sqrt(4))\/sqrt(3)) - (sqrt(128) + 1)*3.\nAnswer: -9*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*z - 41*z - 13*z**3 + (4*z**2 - z**2 - 2*z**2)*(13*z + 17*z - 10*z) to the form h*z**3 + j*z**2 + o + r*z and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-25)\/225*(-7)\/(-1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*sqrt(14)\/sqrt(2) + (sqrt(63) + -2 + sqrt(63))**2 - ((3 + sqrt(63)*-2)**2 - ((sqrt(63) - (sqrt(63) - sqrt(567))) + -2)).\nAnswer: -5 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*s + 2*v, -5*v + 31 = 6*s - 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h**2. Let c(b) be the third derivative of -b**8\/840 - b**5\/15 - b**3\/2 - 93*b**2 - b. Let r(g) be the third derivative of c(g). Calculate i(r(s)).\nAnswer: -4608*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 437b + 191?\nAnswer: 450c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 4:50 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1023 + 1103. What is the highest common factor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/1533 and 113\/6.\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 44 = -3*h - 0*u, 5*u = -5*h + 50. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Suppose -2*k = 40 - 54. Let z be (-44 - -40) + 1 + k. Solve -2*u - 2*o = -2, n*o + 3*o = -z*u + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.49858837 to three decimal places.\nAnswer: 9.499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1114*w**2 + 896*w wrt w?\nAnswer: 2228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2368460 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-2\/29)))\/(k*k*k*k**6)*(k\/(k*k**(-2)*k))**(9\/4) assuming k is positive.\nAnswer: k**(-775\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -67*q**2 - 3*q + 1. Let w(h) = 199*h**2 + 11*h - 4. Determine -14*n(g) - 4*w(g).\nAnswer: 142*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*-16*(-11)\/(-132).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/12 and -143\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 - 2286*i + 7705420.\nAnswer: -(i - 2620)*(i + 11764)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-12)\/280)\/((-5)\/(-40)*6).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 12 = -2*w. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - (sqrt(1331) + 0))*-1 + sqrt(1331))**2*-4 - (0 + sqrt(396) - (sqrt(11) - sqrt(176)\/sqrt(4))).\nAnswer: -5324 - 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1002002020010 (base 3) to base 5\nAnswer: 121304210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2103 + 2107. Which is the nearest to 2\/23? (a) 0.4 (b) -4 (c) -0.04 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**5\/60 + 3*x**4\/8 - 188*x**2. Calculate z(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 100867*q + 21585551. Calculate m(-214).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 92. Let s = -11 - -15. Suppose -45 = -2*m + h, 8 + 62 = 2*m + s*h. Calculate the greatest common divisor of m and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 176835.\nAnswer: 1061010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14830 or -192775\/13?\nAnswer: -192775\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65387767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 9 = -5. Let z(n) = 8*n + 42. Let o be z(-5). Solve -2*d - 2 = o*d - 2*p, -k = -4*d + 4*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01434 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159 + -92. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*j - 1596, -5*h = -4*h - 3*j + 797. Let z = 1483 + h. What are the prime factors of z?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010684381 to 7 decimal places.\nAnswer: 0.0010684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 599294 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t = 286 - 297 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2 + 15 - 8 + p. What is g(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24472000 to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 43 + 20*a**2 - 172\/3*a**3 + 0*a + 28\/5*a**5 + 26*a**4. Factor u(j).\nAnswer: 4*j*(j - 1)*(j + 5)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65873374, -131746750, -197620126?\nAnswer: -263493502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**(-3\/4)))\/w**(1\/3)*(((w*(w*w**(-1))\/w*w)\/w)\/w*w*w)**46)**(-2\/25))**(-14\/13) assuming w is positive.\nAnswer: w**(3773\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11578870.24 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.03 - -0.03. Let g(d) = -2*d - d**2 + 2*d + 3 - 1. Let h be g(-2). Which is the closest to 0? (a) s (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -728 divided by -56\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -6 - (1 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -364, -545, -726, -907, -1088?\nAnswer: -1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in 4, 2\/7, 72\/59?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*y + 13 + 101 + 3 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*305\/(-366))\/35.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/18013623 and -5\/117.\nAnswer: 702531297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75472*k + 76313*k - 36163 = 0 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 75?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 5 + 0 - l)*(0 + 0 + l).\nAnswer: l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 - 20343*l**2\/4 - 10171*l\/2.\nAnswer: -l*(l + 1)*(l + 20342)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/168 and 5\/2616.\nAnswer: 18312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 754142 (base 10) in base 6?\nAnswer: 24055222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24978 and 2208?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1503 and 89383410.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 19 = -17. Suppose 4*j + 2*a - i = 0, 2*j - 26 = 2*a + a. What is the units digit of (6\/j)\/(5\/25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3789665 by -5.\nAnswer: -757933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3860 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: Is -1748 > -1980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 2\/9*i**3 - 5\/12*i**2 - 28 - 1\/24*i**4 + 1\/3*i. Determine y, given that b(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 2. Let p be u(4). Suppose 2*i = -k - p, 2*k = 2*i - 0*k - 4. Let n be 44\/23 + 12\/(-6). Is i < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**1\/x)*x**(-17)*x**29\/(x*x\/x**(2\/3)) assuming x is positive.\nAnswer: x**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 0 - 1 - r + 5*r. Let g = 21 - 20. Let k be q(g). Solve k*i = 4 - 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 162 = -14*z. What is the highest common divisor of 288 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1329330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4404, 9547, 15422, 22035, 29392, 37499, 46362?\n\"Answer: g**3 + 360*g**2 + 4056*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = s - 4*g, 4*s - 3*g + 109 - 10 = 0. Let r be -2*((-38)\/(-16) - 3\/s). Let x(o) = -6*o**2 - 6*o + 4*o**3 - o**3 - 4*o**3 - 7. Calculate x(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -10*l**3 + 2*l**2 + 20*l - 4. Let r(p) = 10*p**3 - 4*p**2 - 19*p + 3. Let b(x) = 5*i(x) + 4*r(x). Factor b(y).\nAnswer: -2*(y - 1)*(y + 2)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 69*n + 9. Let k(w) be the second derivative of 17*w**3\/6 + w**2 + 3984*w. Give 2*i(m) - 9*k(m).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 3) + (-2 - 0) + (1 - -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1072.2197 plus -29?\nAnswer: -1101.2197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19199*k**2*v - 216*k**2 - 138*k*v + 447*k + 8*v - 108 wrt v?\nAnswer: 19199*k**2 - 138*k + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1261, 4668, 10203, 17866, 27657, 39576, 53623?\nAnswer: 69798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v + 4*b = -372, 496 = -4*v - 4*b. Let f = v - -310. Let m = f + -111. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41ab (base 12) to base 4.\nAnswer: -1300103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = p. Let l = -4 + 9. Let i = l + p. What is the greatest common divisor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 125 + 58 = 4*r, 4*d + 4*r - 68 = 0. Let l be 2*1 + 21 + 0. Suppose 2*f - l - d = 0. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395082 smaller than 395082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i - 6*i - 688. Let q = i + 46. Solve 0 = -o + 2*h - 2, -3*h + 8 = -q*o - o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2298*u - 13617*u + 464313 = -758139 for u.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-4 + -3) - -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -125. Calculate the remainder when z is divided by 1 + (138\/3)\/2.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303 (base 4) in base 8?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 471, 948, 1615?\nAnswer: 2472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.023?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2956?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w**2 - 3*w**2 + 14*w**2 - 4*w**2)*(8*w**3 - w**3 - w**3).\nAnswer: -18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2797\/112 - 170\/7. What is the common denominator of m and 218\/(-9)*3\/4?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.53 - -0.0881.\nAnswer: 0.6181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.005 + 0. Round n to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 divided by -2?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0. Let s = -11 + 8. Which is the smallest value? (a) 4 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j - 28. Let h be o(-5). Let i be 0*(3 + (-20)\/6). Factor 0*p - 3*p + 1 + 0 + i*p**h - p**3 + 3*p**2.\nAnswer: -(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8208701*t**3 - 8208817*t**3 + 16417519*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 758 + -766 - (-16 + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5609024.6 to the nearest one hundred thousand.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 886039.6 weeks?\nAnswer: 6202277.2","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 - -143. Let p(v) = 22*v**3 - v**2 + 5*v - 4. Let f be p(r). Suppose -8*y + 3*y + 770 = 0. Calculate the highest common divisor of f and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105a7a (base 12) to base 5\nAnswer: -31242011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.296523 rounded to 2 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 33*f**2 - 65*f - 81. What is the remainder when 15 is divided by i(-31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*(sqrt(363) + 6*sqrt(363) - sqrt(363))**2 - (-2 + (sqrt(12) - sqrt(3)) + sqrt(24)\/sqrt(32))**2).\nAnswer: -261395\/4 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11824.999981492 - -11825. Round u to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10211720 and 2832?\nAnswer: 61270320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5))**49 assuming u is positive.\nAnswer: u**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fiii when four letters picked without replacement from {i: 3, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27431*c**3 + 360917*c**3 - 181241*c**3 + 402737*c**3.\nAnswer: 609844*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -617*m + 307*m + 118 + 2428 + 347*m**2 + 313*m wrt m.\nAnswer: 694*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 500 + -339. Suppose -5*q + 3*q = 4*r - 318, q + p = 2*r. What is the greatest common divisor of r and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*g - 48, 2*g - 14 = -n + 10. Let l be 4 - 5 - 1*-73. Let b = l - -24. What is the highest common divisor of g and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 3*n + 3*n**3 + 9\/2*n**2 + 3\/4*n**4 - 6. Factor v(w).\nAnswer: 3*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*c = 1485, -z + 3*c = -49 - 260. What is the greatest common factor of 260 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2 + f**2 - 5 - 4 - 11*f**3 with respect to f.\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 20 = -v, -391*v = -3*h - 392*v - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -30. Let p = j + -1. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 6) to base 5\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 853.402l to millilitres.\nAnswer: 853402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 2*l - 2*l)*(-1180 + 227 - 856).\nAnswer: -3618*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 - 4998 - 17*h**2 + 3*h + 0*h**2 - 5002 + 9980.\nAnswer: -22*h**2 + 3*h - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 190*n**2 + 0 + 402*n**2 + 342*n**2 + 2*n in the form g*n**2 + v*n + s and give g.\nAnswer: 554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than 50\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 813*u - 35168 = 166*u + 183*u + 150*u for u.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 167442258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 6*y + 3. Let b = -1 + 7. Determine p(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 225 + -223. Suppose o*p + 98 = 3*h - 2*p, p = 4. Calculate the lowest common multiple of 22 and h.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 - 181 - 60)*((1 + 1 - 3)*(-1 + 1 + q) + 20*q - 20 + 20).\nAnswer: -3306*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -795*u**3 - 788*u**3 + 3172*u**3 - 793*u**3 - 779*u**3.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -4 in increasing order.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 424090.9l?\nAnswer: 424090900","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**5\/60 + 11*u**4\/24 - u**3 - 3*u**2. Let j be d(5). Suppose -5*w = -w - j. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43023, 43063, 43165, 43359, 43675?\nAnswer: 44143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.86 * 2.1\nAnswer: -3.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.9 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**3 - 61*a**2 - 19*a**2 - 23*a**2 + 100*a**2.\nAnswer: 7*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13826, 13829, 13828, 13823?\n\"Answer: -2*u**2 + 9*u + 13819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 63, 262, 589, 1038, 1603, 2278, 3057, 3934?\n\"Answer: -q**3 + 70*q**2 - 4*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 - 172*w**2 + 6*w + 516. Calculate n(-86).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/12)\/((-1)\/4). Solve -p = 4*q - o, 2*p = 3*q + 5*p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301442839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043 minus 5003?\nAnswer: -5002.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72147483*m**2 + 995*m - 3451*m + 72146258*m**2 wrt m.\nAnswer: -2450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4))\/(2\/(-4)). Let u = -64 + 66. What is the third derivative of -60*n**j - 4*n**4 + 4*n**u + 60*n**3 wrt n?\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**3 - 9*o + 2. Let u be z(-5). Find the second derivative of u*v**2 - 422*v**2 - 16*v - v - 13*v**3 wrt v.\nAnswer: -78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23223 divided by -2844?\nAnswer: 7741\/948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 2:05 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 9 - 3. Let q be (3 - 0)*64\/p. Let r = q + -7. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*5.78471.\nAnswer: 1.156942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 102 = 3*d. Let n = d + 30. Is 10 a factor of (196\/n)\/(2\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 60. Suppose 10*p - h*p = -6. Factor -19 + 4*s**p + 19 - 4*s.\nAnswer: 4*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**7\/240 + r**6\/240 + r**5\/60 + 4*r**2. Let f(s) be the third derivative of n(s). What is the tens digit of f(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46 - 141*z + 51*z + 43*z wrt z?\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 152?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*c**3*u**3 + 4*c**3*z**3 - 6*c**3*z + 15*c**2*z - 1894*c*u**2*z**3 - 32*z wrt u.\nAnswer: -81*c**3*u**2 - 3788*c*u*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1381.4*-1746\nAnswer: -2411924.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5593.3 millilitres to litres.\nAnswer: 5.5933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -24*z - 15. Let k be o(-2). Suppose 3 = 12*x - k. What is the least common multiple of x and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10480 and 896670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -8553976?\nAnswer: -8553975.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63712948?\nAnswer: 2, 13, 439, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 11 + 7. Let m = 5 - z. Let l = -0.4 + 0.1. Is l greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -144, -510, -1110, -1950, -3036, -4374, -5970?\n\"Answer: -f**3 - 111*f**2 - 26*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -120*f**2. Let r(c) = 45646*c. Calculate j(r(m)).\nAnswer: -250026877920*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -168809 divided by 1\nAnswer: -168809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207013, 414113, 621213, 828313, 1035413?\nAnswer: 1242513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.362? (a) 0.5 (b) 4 (c) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18 - 0)*1*(-3 - -2). Let h = 2 + -2. Suppose h = 4*s - 0*s - 144. Calculate the highest common divisor of o and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 - 4*o + 6. Let w be b(5). Let t = -87 - w. Suppose t*n + 10887 + 245113 = 0. Round n to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqcqqqq. Give prob of sequence cc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3b60371 (base 12) to base 10\nAnswer: -11820037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*c + 234. Suppose 4*x = 2*t - c, 5*t - 174 = 2*x + x. Let q be 6\/t - (-48)\/(-627). Is -1 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**5\/5 + 13*a**3\/6 - 29*a. What is the second derivative of l(d) wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 51. Is 8 a factor of 486\/v - 2\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -v - 3*v. Suppose 0 = -u - 5, v*s + 2 = -0*s - 2*u. Let c = 0 + s. Solve -c*y - 1 = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 533 in 7, -9\/7, -0.2, -3, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4853 and 1055?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 8) to base 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 9 + 1. Let y = i + 43. Let x = 70 - y. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(1 - -4) - 0. Let q(y) = -l - y + 0*y + 1. Let b be 1\/((5\/3)\/(-5)). Calculate q(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -118.7 (b) 3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -18*j - 21. Let i be k(-4). Is 51 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 13*n**2 + 9*n - 8. Let w = -216 - -208. Is s(w) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*t + 15. Let u(i) be the second derivative of 1\/6*i**3 + 9\/2*i**t + 2*i + 0. Determine u(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 + 114*r**2 - 2*r - 111. Give t(-57).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 44, 100, 178?\n\"Answer: 11*n**2 + n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 30. Suppose -y = 4*z - 30. What is the second derivative of -5 + b**2 + z + b wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -24*l**2 + 33*l + 32. Give z(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 + 0.3. Let n = 1.6 - f. Which is the closest to 0? (a) 3 (b) n (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 76*j**2 + 2298*j + 47. Determine l(-30).\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37363649429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 31*z - 6*z to the form i*z + w and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**8\/10080 + w**7\/1890 + w**6\/360 + 25*w**4\/12 - 20*w. Let b(h) be the third derivative of u(h). Factor b(z).\nAnswer: -2*z*(z - 3)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.1 + 1.1. Let k = -8.011 - a. Round k to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -13 (b) -5 (c) 3\/11 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q - 1\/70*q**7 + 0*q**5 + 26*q**2 - 3 + 1\/6*q**4 - 1\/6*q**6 - 14\/3*q**3. What is the second derivative of p(f) wrt f?\nAnswer: -36*f**2 - 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655356496.\nAnswer: 2, 163, 251287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 7:06 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/99890 and -89\/8?\nAnswer: 399560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - x + 1 = 0, 9 = 2*i + 2*x + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/11 + (-750)\/132)*(-42)\/77.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3 + 8680*f**2 - 5366628*f + 686624688 = 0 for f.\nAnswer: 172, 999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.157126*-0.25.\nAnswer: 0.2892815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 + -68. Suppose 0 = w - 3*x - i, 48 = 9*w - 6*w - 3*x. Calculate the lowest common multiple of w and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -7, -9 in decreasing order.\nAnswer: 6, 5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67125 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 24.1. Which is the nearest to d? (a) 1\/6 (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*a + 18, 3*k - 6 - 12 = -3*a. What is the remainder when 18 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*(-5*(sqrt(612) - (sqrt(612) + 2)) + 2 + (sqrt(612) + -3)*-1 + 1))**2.\nAnswer: -156*sqrt(17) + 781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1419?\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*u + 0*u - 30 = 0, -j - u = -10. Suppose 8*d + 3 = 43. Suppose d*a = -w - 4*w, 2*w - 6 = a. Put -2, w, j in decreasing order.\nAnswer: j, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(36\/51) + 17\/51?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23159, -46498, -69837?\n\"Answer: -23339*k + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o + 13. Let x be u(4). Let f = 227 - 286. Sort -5, f, x, 2 in decreasing order.\nAnswer: 2, x, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, d: 2, u: 2, z: 5, a: 1, f: 2}. What is prob of sequence wddw?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 174 and -165.\nAnswer: -28710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1119\/10 - 112. Let g = 1228 - 1210. Do g and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 65*u**2 + 1095*u + 49. Give l(29).\nAnswer: 1528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46146384 and 803544.\nAnswer: 323024688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -7*f - 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 25*t**2 - 3*t + 5. Let c(g) = g**2 + 5*g. Let v be c(-4). Is q(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/3640 and 37\/728.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38675 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5467 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25954739051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -828*m**3*x**2 + 24*m**3*x - 253*m**2 - 29*x**2 wrt m.\nAnswer: -4968*x**2 + 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -7*r**4\/24 + r**2. Let f(k) = k + 17 + 19 - 56 + 20. Calculate f(w(q)).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(132)\/sqrt(96))\/((sqrt(18)\/sqrt(3))\/sqrt(3) - sqrt(128)\/sqrt(4)))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*u - 4*u - 6*u)*(0*u + u + u)*(-4*u + 2*u + 0*u) - 3*u**3 - 7*u + u**3 - 45*u.\nAnswer: 142*u**3 - 52*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*c + 56*c - 225 = 0. Let s = c + -41. Solve -7 = s*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5351566 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b = 15 + 134 - 5 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2140, 4156, 6172, 8188, 10204, 12220?\n\"Answer: 2016*c + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -373 + 362. Is h\/((54\/(-120))\/9) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -1, -2, 2 in ascending order.\nAnswer: -2, -1, 2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 170688 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -104969, 4, 0, -1 in descending order.\nAnswer: 4, 0, -1, -104969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h = -2*s + 19, -3 = -h - 4*s. Let d = h - 5. Which is smaller: 3\/4 or d?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 35 - 10 - 7*m**2 - 22 + 2*m**3 - 6. Let n(i) = -i**3 + 7*i**2 + 2. Give -2*f(c) - 3*n(c).\nAnswer: -c**3 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 226672 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: Solve 981*o**3 - 2464*o**2 - 1379*o - 174 = 0.\nAnswer: -29\/109, -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/75*27\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/9 + -13*12\/(-1404)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 6:00 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/1)\/(-2*6\/20). Solve -12 = -3*s + j*o, -4*s + o + 9 = -7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -142*d + 874. Let a be z(5). Let m = -84 + 332. Let q = m - a. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -589 - -594. Let j be -3*(0 - (-5)\/3). Sort j, z, -9 in descending order.\nAnswer: z, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, v: 3}. What is prob of picking 2 v?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 58*a - 1. Let d be r(36). Suppose 8*f + 431 - d = 0. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 185, 247, 291, 311, 301?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q + 261*q**2 + 8 + 3*q - 256*q**2 + 9*q. What is the hundreds digit of g(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 3*b**2 - 6*b - 2. Let y(r) be the first derivative of -r**4\/2 + 2*r**3\/3 + 3*r**2 + 2*r + 10. Let q(x) = -3*l(x) - 2*y(x). Give q(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7142 * -35389.\nAnswer: -252748238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 5:25 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c + 11*c + 3563. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 54. Find the common denominator of -39\/10 and (309\/8)\/((-4)\/(n\/42)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2024000 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3388*j - 3408*j = -8960. Solve -496 = 12*g - j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1426390 by 4970.\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000278783 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 26211864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Suppose q*j - 16 = j. Is 10 a factor of 40*3\/(j + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -959, 245 in decreasing order.\nAnswer: 245, 5, -959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 645*n + 36993. Calculate s(53).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*w = 352, a + 4*w - 232 - 119 = 0. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**3\/6 + z**2\/2 + 6*z. Let n be k(6). Let u(q) = -27*q - 8. Is u(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30366?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9102566.67 rounded to the nearest one hundred thousand?\nAnswer: -9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 10*c + 23. Let w be p(-5). Let u be 503100015\/(-30) - w\/4. What is u rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - b. Let k be ((-2)\/2 - -3) + 1. Suppose -2*m = 0, 0*a + 5*m - k = -3*a. Let d(i) = 8*i**2 + 4*i. Calculate a*d(s) + 4*x(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12738 at most as big as 6.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from jnjjnnjjjjjjjjnjjjj?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 16 (c) -628\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - g**2 - g. Let k(a) be the second derivative of 3*a**5\/20 - a**4\/12 - a**3\/6 + 9*a - 2. What is -3*k(j) + 3*q(j)?\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/88)\/((-2)\/8 + 1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -24792*g**3 + 9*g**2 - g - 11. Is h(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 489 + -491.07. Let t = k - -0.07. Sort -0.2, 17, t in decreasing order.\nAnswer: 17, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 2*f + 166. Suppose 5*d + f = 4*v, -5*v - 8*d = -3*d - 115. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2127767.6 * 0.1\nAnswer: 212776.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 417 * 4830.\nAnswer: 2014110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -49*f**3 - 11514*f**2 + 234*f - 209. Give o(-235).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1412 - 919. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 50.9.\nAnswer: -15.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-596)\/30 + (-258)\/1935?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/131 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 0*s + s)*(0*s**2 + s**2 + s**2)*(1038 - 2723 + 1120) to l*s**3 + q + t*s**2 + a*s and give l.\nAnswer: -1130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 19, 5, -2, 1207.\nAnswer: -4, -2, 5, 19, 1207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30067?\nAnswer: 107, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1683 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12647742*z**5 - 11178*z**2 - 55.\nAnswer: -758864520*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s. Let c(n) = 4*n - 5. Suppose -u - 2 = -17. Let b(r) = r - 1. Let f(k) = u*b(k) - 3*c(k). Give f(x(z)).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 4 + 4)*(-5 + 0 + 3)*(n**2 + 399 + 337 - 37*n - 734).\nAnswer: -4*n**4 + 148*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50.58 + 50.58. Which is the second biggest value? (a) 1\/3 (b) 0.1 (c) t (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oololloolllololloooo. What is prob of picking 2 o?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42174972 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + j - 2. Let l = -7 - -27. Calculate the lowest common multiple of l and u(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1861283849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 5*f + 4. Let c be v(4). Is c >= -2\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**5\/60 - 3*y**4\/8 - y**3 - 3. Let k(q) be the third derivative of p(q). Suppose 23*w - 25 = 113. What is k(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 12*j**2 - 20*j**2 - 8 + 36*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 24 + 32 + 8*k - 78 + 156*k**2.\nAnswer: 156*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 1 + (6 - 1) + 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1045?\nAnswer: -1\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2. Let z(y) = 181212022*y**2. Give v(z(w)).\nAnswer: 32837796917328484*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 less than -26?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 - 24 = -2*j, -4*j + 45 = 5*h. Suppose -s + 4 = -0. Suppose 0 = -c + 3 - 1. Solve j = -b - s*o - 3, c = 2*b + 2*o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 22 = -d. Let j = 8 - d. Let c be 0*(j - 7\/(-2)). Which is smaller: c or 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -65 (b) -5 (c) 0.0048 (d) 1\/2 (e) -3\/7 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509251207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three sevenths of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1239.44 hours?\nAnswer: 4461984000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -10856.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0939 to 3 dps.\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0231346 rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8 + q - 7 - 3*q + 3*q. Suppose -4*k = 5*u - 11, -6*k + 3*k = -3*u - 15. Determine j(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9025 divided by 2.\nAnswer: -9025\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/7 - 122*i**2\/7 - 1798*i\/7 + 1922\/7 = 0.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 191 or 2500\/13?\nAnswer: 2500\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:52 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-81)\/9 + (-5)\/(-1). Let a(x) = 10*x + 14. Give a(p).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -1\/173 (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 0*p + 50 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w. Let y(s) be the third derivative of -13*s**5\/60 + 14*s**2. Calculate y(l(v)).\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 4:46 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 0*o - 2\/3*o**3 + 0*o**2 + 2. Let t(v) = 185 - 185 + v. Give t(d(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5371040 to the power of 1\/2, to the nearest integer?\nAnswer: 2318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*i + 64*i + 31*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126 + -122. Suppose 1220 = w*i - 4*t, 3*t - 1509 = -i - 4*i. What are the prime factors of i?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34408890 and 5579820.\nAnswer: 206453340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5302837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5325256 rounded to two decimal places?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (177\/(-48) - -5)\/((630\/(-40))\/21)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -38*j + 14. Let z(c) = 420*c - 148. What is 32*i(l) + 3*z(l)?\nAnswer: 44*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566765005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 14*z**2 - 8*z + 1. Let h be a(3). Suppose u = -0*u + h. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50.15 + -50.05. What is the closest to u in 2, 6\/13, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5749.2 + 6385. Let p = 636 - t. What is the biggest value in p, -3, -64?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((36*12\/576)\/(171\/(-6)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28264720 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*1\/(10\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 - 86. Solve 10*l - 2*l = a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/4)*d*d\/(d\/d**(-3)*d))**31\/((d\/(d\/d**(-5)))\/((d\/(d**1*d))\/d)*d**4\/((d**(4\/5)*d)\/d)) assuming d is positive.\nAnswer: d**(-1089\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -100 + (-1 + -27 - (-9 - 0))\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**2 - 2*j + 2. Let r(u) = -13*u + 52*u + 1 - 40*u. Calculate -c(m) + 2*r(m).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(60\/(-96))*(-5)\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 1) + 10 - 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0 + 0*x**3 - 6*x + x**4 + x + 5*x**3 to the form o + v*x**2 + p*x**4 + q*x**3 + c*x and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 37*d**2 - 88*d + 1706. Is q(37) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 32 = 0, -2*v + 6*z = -0*z - 67758. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) -1\/2 (c) -1\/3 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262281.\nAnswer: 3, 87427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112 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: b\"What is the dth term of 6015, -2657, -17111, -37347, -63365, -95165?\n\"Answer: -2891*d**2 + d + 8905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 + 99*h. Let d(r) = r**2 + 3*r + 1. Calculate 3*d(q) + i(q).\nAnswer: -q**2 + 108*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40501\/8830 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 119?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 9*w**2 + 5*w + 6 + 0*w**2 - 2*w**3 + 3*w**3. Let s be h(-5). Let d = -45 + s. Calculate the remainder when d is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Suppose -o = r + 26, -a*o = o - 3*r + 83. Let c = -2 - o. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 236, 6*a - 929 = 4*a + 24*m + 495 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/1)\/((-20)\/30). Suppose 3*c = -4*c + 21. Sort 2, w, -1, c.\nAnswer: w, -1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3 - a**3 - a**2 + 122*a - 125*a + 2. Let o = 4 - 2. Suppose 4 + o = -3*y. Determine m(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 52 - 21)*(-3*u**5 + 2*u**4 - 16*u**5 + 5*u**5).\nAnswer: 882*u**5 - 126*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -991*o + 990*o. Suppose q - 4*z = -11, 0 = 2*q + 2*z - 20 + 2. Let k(w) = 5 - q - o*w + 35*w. Let f(r) = -4*r**2. Give f(k(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 12) to base 16.\nAnswer: -c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262586*y = -262696*y - 10670 for y.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12927 is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 332*r - 2 - 849*r)*(0 - 18 - 5)*(5 + 2 - 3) to f*r + m and give m.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2173 and 123?\nAnswer: 6519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 49. Determine t(9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 755?\nAnswer: 3\/755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -29*j - 8. Let q(a) = -65*a - 18. Let d(s) = 4*q(s) - 9*t(s). Let l(z) = -29*z**2. Calculate l(d(i)).\nAnswer: -29*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -15*b**3 + 21*b**2 + 15*b + 21. Let i(m) = 3*m**3 - 4*m**2 - 3*m - 4. Let p = 32 + -11. Let j(o) = p*i(o) + 4*c(o). What is w in j(w) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3470\/9 - -386. Factor -w*s + 2\/9*s**2 + 0.\nAnswer: 2*s*(s - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzzx. Give prob of picking 2 z and 1 x.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9487 - -21026. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 398239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 3*o**4\/8 - o**3\/6 + 2*o**2. Calculate the remainder when s(4) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:41 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3931170 and 177.\nAnswer: 3931170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 - 1774*g\/3 - 120460.\nAnswer: -2*(g + 317)*(g + 570)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-1)\/p))**(-10)\/(p\/(p\/(p\/(p*p**(4\/3))))*p*p**(-6)*p) assuming p is positive.\nAnswer: p**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1672?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20078 by 14.\nAnswer: -10039\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 0 + 4 + 18439*h - 4 - 18443*h. Let p(t) = -203*t**2. What is k(p(i))?\nAnswer: 812*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*s + 6. Suppose 2*h + 0*d + s*d = 60, -3*h = 2*d - 100. Let i = h - 22. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**8\/1120 - o**5\/24 + o**4\/4 + 10*o**2. Let v(y) be the second derivative of q(y). What is the derivative of v(i) wrt i?\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193 + -190. Suppose -7*p + 6*p = 2*u - 305, -459 = -3*u - g*p. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 21*d**2 + 2*d + 762. Determine i(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 72432.\nAnswer: -5\/72432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 36. Let s = 19 + m. Calculate the remainder when 40 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4a4887 (base 13) to base 7\nAnswer: -21065342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/3 of a week?\nAnswer: 97440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*o - 22. Suppose -15 = -11*g + 8*g. Suppose g*f = 27 - 2. Solve 5*a - 3*w - f + 0 = 0, 17 = o*a - 5*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198856481?\nAnswer: 1097, 181273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 0. Let y = d + 1.7. Which is the third biggest value? (a) y (b) -5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*(1 - 12\/8) - -5.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-2 + 4)*(-5 + 9). Suppose 4*f - 4*a = p, -4*a = 3*f - 0*a - 18. Solve f + 4 = 5*d + o, -3*d - o + 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 4*u**2 + 8*u + 5. Let k be g(-6). Suppose 7*w = 2*w + k. Let t = w - -17. What is the greatest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 462872?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 207*n + 5199. Let z(s) = -2*s**2 - 620*s + 15598. Let b(g) = 8*x(g) - 3*z(g). Factor b(o).\nAnswer: -2*(o - 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**2\/7 + 14523*r - 1322100\/7 = 0.\nAnswer: -33900, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/4 - (-207)\/45?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72 - -153 - 181) + 7 + (4 - 1).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 323260037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*d = -2038, 2*p = -0*p + 5*d + 999. Suppose -3*a + 2064 = i, p - 1888 = -2*a - 4*i. Calculate the greatest common divisor of a and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*w - 14. Calculate the common denominator of 7\/48 and -4 + 1\/((-72)\/969*w).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1634, -1908, -2404, -3122, -4062, -5224?\n\"Answer: -111*z**2 + 59*z - 1582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 1832*y**2 - 145*y + 0 - 1837*y**2 = 0.\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u - 3*u - u. Let w(l) = 290*l - 130. Let a(d) = 9*d - 4. Let s(p) = -130*a(p) + 4*w(p). Calculate s(n(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwwucuumwuuwuc. Give prob of sequence uwcw.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33, 47, 61?\n\"Answer: 14*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -1 + (-1 - -5 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbnbgblolbblo. What is prob of sequence go?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/15)\/v*v)\/v)**(-13)*(v**(-3)*v)**(-16) assuming v is positive.\nAnswer: v**(701\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b. Let i be c(2). Let l = -38.9 - -28. Let m = -9.9 - l. Put -5, m, i, 0.5 in descending order.\nAnswer: i, m, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/1525 and 33\/1045540.\nAnswer: 5227700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uoou when four letters picked without replacement from {c: 1, w: 3, u: 10, o: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 1 + 1)*(-126*s - 355 + 355).\nAnswer: -126*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.459826 rounded to two decimal places?\nAnswer: -4.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/7 - 64*h**3\/7 + 954*h**2\/7 + 2376*h\/7 - 3267\/7.\nAnswer: (h - 33)**2*(h - 1)*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 11498*t**2 + 55*t - 11501*t**2 + 23001*t**2 to m*t + v + p*t**2 and give m.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-26)\/130)\/((-12)\/40). Factor 4\/3 + 2*g + p*g**2.\nAnswer: 2*(g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -11\/128?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 4*n - 2112, 2*i - 3*n - 1057 = -226. Suppose -i = -2*l - 4*g, 0 = 2*l - g - 289 - 146. What is the smallest common multiple of 4 and l?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31\/5727 or 0.00783?\nAnswer: 0.00783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3370*v - 52. Determine b(0).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0.4, -1\/5, -5\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 194128546 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1893*f = -1714*f - 70457980. Round f to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 6:50 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**10\/j)\/j**(-12) assuming j is positive.\nAnswer: j**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 75*m**2 + 480*m + 1428. Calculate n(81).\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22381577?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + o - 25 = -3*o, -26 = -2*t - 5*o. Let v be 24\/8*(-33)\/(-9) - 11. Sort t, -20, v, -4 in decreasing order.\nAnswer: t, v, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**0\/o*o)\/(o*o\/(o*o**2)))\/(o**(-3\/4)\/o*o**(-1\/5)))\/((o**(1\/3)*o)**33)**18 assuming o is positive.\nAnswer: o**(-15781\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1585, 3167, 4747, 6325, 7901?\n\"Answer: -l**2 + 1585*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 9:03 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 164682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((2 - 3)*1). Suppose -2*a + 4*h - 12 = d, -4*a + 5*h - h = 4. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.59261208.\nAnswer: 0.29630604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 2\/11, 2\/3, 0, -5, -7 in decreasing order.\nAnswer: 2\/3, 4\/7, 2\/11, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 24*s - 4. Let p(d) = -2*d. Determine -i(o) + 5*p(o).\nAnswer: o**2 + 14*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - (-1 + 0))*7. Let h be ((-8)\/p)\/((-2)\/(-7)). Suppose h*q - 5*q = 3*i - 297, 3*i = 3*q + 273. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74446 - 1?\nAnswer: 74445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b. Let c(j) = -1. Let y(g) = 6*c(g) + q(g). Let r be y(5). Differentiate 4 - 6*n + r*n - 3*n with respect to n.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.626 - 0.5.\nAnswer: 25.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2447 + -2442. Suppose 9 + 0 = -3*x, -2*s + 46 = -2*x. Calculate the greatest common divisor of l and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 a, and 1 l when three letters picked without replacement from elqaeaeeeaaele?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-14 + -16)) + (-10 - 77)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -0.1. Let l = 4.1 - v. Let g = l - 8. What is the nearest to 1 in 3, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -832\/3*f + 2\/9*f**3 + 5056\/9 + 100\/3*f**2.\nAnswer: 2*(f - 4)**2*(f + 158)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (480\/150)\/(4\/(-10))*28\/(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, 2, -59\/4 in descending order.\nAnswer: 2, 1, -0.1, -59\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5 + (2 + 1 - 2)*(3 - 4 - 1))*(125 + 13*v**5 + 2*v**2 - 125).\nAnswer: -13*v**5 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20 - (-2 + (-2)\/(-1)). Suppose 3*z + s = -z. Is -6 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 1 r when three letters picked without replacement from potzr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q - 5*a = -116, -132 = -4*q - a. Suppose -33*r = -q*r - 2*i + 507, 2016 = 4*r + 5*i. Is 40 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 6*q**2 + 6*q + 12. Let j be u(7). Suppose -18 = -j*z + 2*h - 4*h, 3*z + 6 = 3*h. Solve 5*b + z*o - 33 = -2*o, -2*b + 14 = 2*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*m - 3)*(1 - 1 + 2*m) + (-3*m + 2*m - 7*m)*(-m + 0*m + 0*m) - 5*m - m**2 + 5*m to c*m**2 + q + j*m and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**33\/v**(8\/7)*(v\/(v*v*v\/v**7*v))\/((v**(9\/4)\/v)\/v) assuming v is positive.\nAnswer: v**(997\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4560612 (base 10) to base 16\nAnswer: -4596e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17335*p**3 + 3421*p**3 + 13916*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 391.219544 + -4.\nAnswer: 387.219544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 15 - 14)*(x - 3*x - x).\nAnswer: 102*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**35\/i**(3\/8) assuming i is positive.\nAnswer: i**(277\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10454 - 45?\nAnswer: 10407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**3\/6 - 7*x**2\/2 + 5*x. Let c be u(-15). Suppose 0 = -c*h + 3*h + 25, 4*i + 2*h = 18. Solve p - i = -0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and -2474 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, 1\/4, 14 in descending order.\nAnswer: 121, 14, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-20) - 3)\/(35\/((-7700)\/1188)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v - 2. Let i be d(3). What is the highest common factor of 1121 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/25212 and 111\/663916?\nAnswer: 1991748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tnqnnntnttqtqnqnn.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - 1 - (309 - (5 + 254))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1343422 + -32?\nAnswer: 1343340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 4:01 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1015715 to the nearest 1000.\nAnswer: -1016000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 7\/3, 20\/7, 2?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 0. Calculate the smallest common multiple of n and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -17. Suppose h + v = 6*h. Let g = h - 0. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -40*b**2 - 572*b + 4590. Give o(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 30. Let v = -16 + 1. Let l be x(v). Solve l = n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 10*s**2 + 11*s - 2. Give l(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*(-9 - 1). Let o(k) = -k**2 - 6*k - 4. Let w be o(u). Let n(x) = -21*x + 630. Let j(r) = 5*r - 168. Let f(h) = -15*j(h) - 4*n(h). Give f(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17427 is divided by 3409.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 535*j + 1069. What is m(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**1*a)**(12\/13)\/((a*a\/(a\/(a**(-2)*a)))\/a*a)**50*(a**(2\/7)*a)**(-7\/2)*(a\/(a*a*a\/(a**0\/a*a)*a))**9 assuming a is positive.\nAnswer: a**(-795\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 10*p**3 - 23*p + 58. Is v(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -2*l - 10, 3*w + 71*l = 67*l + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1027*m + 20589. Calculate l(-20).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 9*i - 66. Suppose 0*a - 209250 = i*a. What is a rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1191 times -25.95\nAnswer: -3.090645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, i: 1, w: 2, p: 1, b: 2, q: 1}. Give prob of sequence ub.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**3 + 7*h**2 - 2*h. What are the prime factors of w(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 119352, 129231, 139110, 148989, 158868, 168747?\n\"Answer: 9879*m + 109473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**2 - 6. Let i(f) = 11*f**2 + 11. Let h(c) = -5*i(c) - 11*p(c). Is h(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13546 = -45*f - 15526 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25240 rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -689*g = -687*g + 2*d + 26, 13 = -g + 4*d for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6*w - 4*s = -320, 2*w = s + 604. Calculate the highest common factor of 152 and w.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -278, -549, -814, -1073, -1326?\n\"Answer: 3*n**2 - 280*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-69 + 53 + (3 + -1 - -7))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 22. Let g be m\/(-2)*28\/(-6). Let t = g + 43. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -37422, -0.5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(0 + 1 + 2)*(6 + a - 2*a + 3*a).\nAnswer: -6*a - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 362\/7 - 52. Which is the closest to -2\/9? (a) 0 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + 5 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*d**5 + 78*d**3 + 3865*d**2 - 3.\nAnswer: -2460*d**2 + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1142, 1698, 2696, 4358, 6906?\nAnswer: 10562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88 - -90. Suppose -55 = -5*j - 2*m, l*m + 33 = 3*j - 0*m. Solve 0 = -5*r + j + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -1?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 336, 1132, 2648, 5124, 8800?\nAnswer: 13916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000067261 rounded to 7 decimal places?\nAnswer: -0.0000673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 21*n + 38. Let s be b(0). Solve s = 3*l + 23 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 873192619 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1235944 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y - 4. Suppose -y*n = -3*n + 7. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 1a0?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*w - 30*w - 84 = 0 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/28 + -5\/7. Let h be 1*(1 - -1 - 0). Suppose 5*l - 2*o - 8 = 0, -h*l - 3*o = 2*l + 12. Sort t, l, -2.\nAnswer: -2, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y - 16*y + 132 = -j, j + j - 2*y + 6 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqqwwqqqqwqqwyqywq.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 5 + 8 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z + 78\/7*z**3 + 0 + 2\/7*z**4 + 0*z**2.\nAnswer: 2*z**3*(z + 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13363, -26821, -40295, -53791, -67315?\n\"Answer: -m**3 - 2*m**2 - 13445*m + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 + 4*v**4 + v**2 + v**4 + (-5 + 4 - 1)*(-v**4 + 2*v**4 + 2*v**4).\nAnswer: -4*v**4 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**4 - 111 + 111 - 4*l**4 - 2*l wrt l?\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/8*-5)\/((-11)\/616*-14).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 12*m**2 + m + 11. Let o be b(-12). Let y be 5 - (-2)\/(o\/(-1)). Suppose 4*p = -3*d + 182, p - 52 = 3*d - y*d. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/304 and 31\/34608.\nAnswer: 657552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r\/(r*r**(-1\/2))*r)\/r)\/r))\/r)\/(r\/(r*r**(2\/5)*r))*(r*r**(-6\/11)*r*r)\/((((r\/r**(-1))\/r)\/r)\/r) assuming r is positive.\nAnswer: r**(589\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*z + 3967 = 3769 - 2795 for z.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 15*z + 1. Let j(x) = -50*x**2 - 29*x + 3. Let o(b) = -j(b) + 2*k(b). What is o(-1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 1 - 1)*(p + 0 + 0)*((4 - 7 - 8)*(15 - 1 + 27) + 0 - 2 + 0) in the form c*p + b*p**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-70)\/(-4) + 42\/(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*h - 677*h = 850*h - 460*h + 59644 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(539)*-2 - sqrt(539))*-2 - (4*(sqrt(539) + 0 - sqrt(539)) + sqrt(539)))*-1*6*-6*-6)**2.\nAnswer: -60480*sqrt(11) + 628689616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 2\/3*x**3 + 1\/2*x**2 - 4 - 4*x - 1\/4*x**4. Let a(d) = d**2 + 6*d + 3. Let n be a(-6). What is r(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26073636 or -26073637?\nAnswer: -26073636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -136*w**2 + 22*w + 10. Let s(u) = 69*u**2 - 11*u - 4. What is -2*f(q) - 5*s(q)?\nAnswer: -73*q**2 + 11*q","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 10:33 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2202 in 2\/17, -4, 0, -2, 83?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 42. Let x = p - -60. Let q = x + -12. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -1)*(-5)\/1. Suppose w = b*w. Suppose w = 7*z - 3*z - 356. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4373255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46019 - -184050. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 848 in 1\/4, -5, -2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**3*y**(1\/5)\/y)\/((y*y\/((y\/y**(4\/5)*y)\/y))\/(y\/(y*y**(-2))))*((y\/(y*y*y\/(y*(y*y**(-3\/5))\/y)))**(-33))**(2\/103) assuming y is positive.\nAnswer: y**(-811\/515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 77 = 4*c + 7*b, -265 = -5*c + 517*b - 528*b for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - o + 20 = 0, 4*o - 8 = -33*j + 35*j. Solve -4 = -j*h - 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.17 and 2.8?\nAnswer: 39.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 12. Let k be a(13). Let p(u) = -4*u**2 + 6*u. Let w(l) = l**2 - l. Let h(n) = k*p(n) + 6*w(n). Let o(x) = 0 - 1 + 1 - 29*x**2. Calculate o(h(y)).\nAnswer: -116*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11299*(-4)\/2)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 1)*((1 + 2*d - 1)*(-1 + 0 + 3) - d + 3*d - d).\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1113\/21)\/(-848)*48?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 5:29 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 - 5*k - 2. Let s(y) = 8*y**2 + 20*y + 8. Let u(f) = -9*h(f) - 2*s(f). Suppose -2*q + 4*m - 18 = 0, 3*q + 5*m = 1 + 5. Give u(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f - 5, -85 = -2*c + 3*f. What is the common denominator of (-214)\/84 - (4 + (-130)\/c) and -97\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {t: 4, v: 3, x: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 2*x**6\/15 + 5*x**4\/6 - 13*x - 14. Let n(v) be the first derivative of i(v). Find the third derivative of n(u) wrt u.\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -15102 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + j - 357 = 0, 13*j - 88 = t + 14*j. Let w = -1193 + 1103. Is w at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2, 8*t - 101 = 7*t - 5*z. Sort t, 0.1, 5\/4.\nAnswer: 0.1, 5\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 11) to base 15\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(-8\/7)*i)*i**(-10)*i*i**(-1)\/i*i**(-2\/43) assuming i is positive.\nAnswer: i**(-3282\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2 + 564*f + 39762 = 0 for f.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*t + 1. What is the smallest common multiple of 22 and (-1)\/3*(-44 + t)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 17. Solve t*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}