{"text":"Question: Is 142697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 560*k**2 - 154*k - 298. Let v(r) = -93*r**2 + r - 1. Let h(w) = -i(w) - 6*v(w). Suppose h(u) = 0. Calculate u.\nAnswer: -2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2698 - 2693. Solve 32 = -w*x + 3*z + z, -x - 19 = -5*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 4*i - 3*j + 47 = 0, j = i - 11. What is the remainder when 92 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {w: 2, j: 1, r: 2, t: 1, s: 4, i: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t\/t**(1\/4)))\/t**(2\/25) assuming t is positive.\nAnswer: t**(17\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*l**3 + 9 - 9 + 1183*l**2 - 1183*l**2.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -2048156 at most -2048156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/4, 47650, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1093861437 and 7795.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -51\/23769160 and 143\/154680.\nAnswer: 71307480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/(-11) - 48\/(-22). Suppose u*m - 4*n - 15 = -7*n, -4*n = -12. Suppose -k + 2*k = 0, -m*v + 4*k = -111. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 150.81718 minus 0.18?\nAnswer: 150.63718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -180703805 by 155.\nAnswer: -1165831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 726 + -404. Suppose -2*y = 2*c + 208, 5*y = 2*y - 5*c - g. What is the units digit of y\/(-12) + (-1)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 18648128 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -91\/152 and 6\/64*3968\/1824.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -0.3, -3, 3\/6817 in descending order.\nAnswer: 3\/6817, -0.3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 1 a when three letters picked without replacement from wpjjwjljawawajjpw?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 5.814744ug in kilograms?\nAnswer: 0.000000005814744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vg when two letters picked without replacement from rmmgrvjrrjjmrrvvre?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 43 - 43.29. Let b = 0.4 + z. Round b to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.0557752 not equal to 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -24? (a) -5 (b) 5 (c) -3 (d) 3 (e) -0.143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -23*c + 1420. What is h(62)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 + -4. Let n be 0\/(z + (-1 - -2)). What is the biggest value in n, -1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k**5 - 1010*k**4 - 50925*k**3 + 16160*k**2 + 816080*k = 0. What is k?\nAnswer: -101, -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {v: 1, e: 11}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**3 + 25*d**2 - 4*d - 98. Let n be k(-25). Solve -2*j + 5 = p + 2, 4*p = -n*j + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the third derivative of h**5\/60 + h**4\/6 - 2*h**3\/3 + h**2 - 46. What is x(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*v = 261 - 3825. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2.6 + 9.1. Let p = 11.627 - q. Round p to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -34 + 220. Suppose 6*v = 342 - g. What is the remainder when v is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 11 + (-22 - -1)\/3. Suppose -2*s + 78 = -3*r + m*r, 4*s + 252 = 4*r. Calculate the remainder when r is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x - 3*j = -137, 10*x - 3*j + 37 = 11*x. Calculate the remainder when 199 is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001761 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 3*s**2. Suppose 8*z + 72 = -16. Let f(d) = -15*d + 4. Let m(b) = 44*b - 11. Let t(q) = z*f(q) - 4*m(q). Give c(t(v)).\nAnswer: 363*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20291?\nAnswer: 103, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:53 PM and 11:31 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 57672 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t**3 - 6*t**2 - t + 6. Let p be a(6). Let g(u) = -u**2 + 2*u + 1. Suppose 9*m - 15 = 4*m. Let n be g(m). Sort p, -3, n.\nAnswer: -3, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 5*r + 14. Calculate the remainder when n(4) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 18 + -12. Suppose j - 5*y - 20 = 0, 32 = 4*j + 2*y + 2*y. What is the lowest common multiple of j and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 163*q - 122.\nAnswer: 163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -444204 - 5433?\nAnswer: -451637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-726)\/(-15) - (-32)\/(-80). What is the greatest common factor of 336 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -301 + 308 + (1 + -1 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2244ca (base 16) in base 7?\nAnswer: 25042423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 202199015 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sssh when four letters picked without replacement from {s: 3, h: 15}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 2, l: 2, z: 1, h: 8, k: 1, u: 1}. Give prob of sequence hluh.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*w + 30*w + 30*w + 18*w - 107*w + 9*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vqawt. Give prob of sequence qt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 7320634 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (165\/(-220))\/((-9)\/(-180)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 13 and -78?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 11817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 223.649 and -2.4?\nAnswer: 226.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 122 + 5*s - 122.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4645231.\nAnswer: 4645231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -319435*-4.\nAnswer: 1277740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -72040, -144080, -216120, -288160, -360200, -432240?\nAnswer: -504280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -40*u + 57*u - 34 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*b - v + 1, 3*b = -2*b - 3*v + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 959819 is divided by 106613.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5407623 and 2.\nAnswer: 10815246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1459 = 458*r - 3973 + 394. Suppose -7*g = -3*g - 12, w - 32 = -g. Calculate the lowest common multiple of r and w.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 514601 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -1874*w - 12707. What is u(-7)?\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is b in 23026086*b**4 - 277877620*b**3 + 18764824*b**2 + 122768*b + 192 = 0?\nAnswer: -2\/653, 2\/27, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-125)\/1100*11*(-32)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 6251114*b**3 - b - 23211827?\nAnswer: 18753342*b**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the third derivative of b**5\/60 - 3*b**2. Let u(l) = 692 + 8*l + 691 - 2077 + 694. Determine r(u(w)).\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101100100 + -1?\nAnswer: -101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4*1 + 40\/(-10). Suppose -36 = -3*f - 3*k - v*k, 0 = 5*f + 3*k - 60. Let c(o) = -o**2 - 6*o. Let y be c(-6). Sort y, f, 5 in increasing order.\nAnswer: y, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 4, r: 7, t: 2}. Give prob of picking 1 t and 1 r.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -1*1*(-90 + 35\/(-5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s - 36524 + 161662 = -5*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -18478, -147533, -497784, -1179829, -2304266, -3981693?\nAnswer: -6322708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be (4 - 14\/3)\/(1\/(-9)). Let x be (-16)\/(-3)*h - -4. Suppose 3*v = 2*w - x, 2*w - 40 = 3*v - 2*v. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.24 - 0.16. Let k = -9 + 6. What is the second biggest value in z, k, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 668 - 590. Let x = -78 + r. Solve x = -4*h - 2*f + 6, 0 - 4 = -h - 3*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-85536)\/(-374616) - 3\/(-33)*(-2 + 1)*2.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1677136566 to the nearest integer?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1312875*h**2 + 10503020*h - 160 = 0. What is h?\nAnswer: 4\/262575, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 1032078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h = 2*g - 3, -82*g + 79*g = 2*h - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeeyeye. What is prob of sequence eye?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = -3*s - 2*z - 0*z, -19 = 5*s - z. Let y(f) = -f**3 + 4*f**2 - 4. Let v(p) = p**2 - 1. Determine s*v(b) + y(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 1 - (-7 - (4 - 19) - (8 + 1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -71 - -73. Suppose 0 = 4*y - z - 62, 0*z + 28 = 2*y - b*z. What is the least common multiple of y and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5729*o**3 - 30800*o**3 - 30564*o**3.\nAnswer: -55635*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-5\/7)\/c*c)\/c*c**(2\/71) assuming c is positive.\nAnswer: c**(-838\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 3*b**3 - 3*b**2 + 9*b + 8. Let i(j) = -27*j - 5*j**3 + 11*j**2 - 24 - j**2 - 3*j**3. Let g(d) = 4*i(d) + 11*u(d). Give g(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3113255, 3113265, 3113279, 3113297, 3113319, 3113345?\nAnswer: 3113375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -494*a*v - 3*a + 24*v - 6965 wrt v.\nAnswer: -494*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 9996*g + 553 = 9917*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3096*i**4 + 19*i**2 + 2*i + 292184.\nAnswer: -12384*i**3 + 38*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b + 2. Let l = -18 + 16. Calculate o(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = 56*l - 51*l - 26, -2*c = l - 16. Let u(f) = -2*f**3 + 11*f**2 - 6*f + 7. Determine u(l).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -76 + 68. Let z = 5.9 + p. Let u = z - -2.09999945. What is u rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-20)\/(-3)*72\/60. Suppose -32 = -10*y + r. Solve y - 3 = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gz when two letters picked without replacement from ogoggzsnggggsggog?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -137882000 to the nearest one million.\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -2980368 divided by 993456?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 3*j**2 - 2*j + 9. Let t(b) = 5*b**2 - 3*b - 25 + 43 - 3*b. Let q(z) = -7*n(z) + 4*t(z). Give q(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 27*l**2 + 40*l - 41. Determine z(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34336.\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.4, -14, 83?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3.8 - -1.2. Let g = -73.862 - -66.862. Which is the second biggest value? (a) q (b) 5\/6 (c) 2\/5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 991 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1*(-2 + 4 + -4). Let v be (o + 0 - 0) + 54. Suppose -i = i - v. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -145*s + 24 = -3*k - 142*s, 5*s = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -96*i + 100980 = 1434*i for i.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 169 + -168.6. Let h = 43 + -36.7. Let y = h + -6. Which is the closest to -0.1? (a) 2\/9 (b) y (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 8 = j + h, 2*j = -h - 13. Let n be 4*-1*(-2)\/j*-1. Solve 4*a = 2*x - 14, 5*a + 13 = n*x - 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*l + 2 = -41*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 678 minutes before 3:00 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 2*y = 70, 4*a + y - 105 = -a. Suppose 3*o = -2*o + a. Suppose o*u + u - 20 = 0, 0 = -5*v - u + 49. What is the greatest common factor of 6 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 v, and 1 j when three letters picked without replacement from {j: 3, a: 1, w: 1, v: 6, o: 4}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be (6\/(-4))\/(2\/(-4)). Let j(l) be the second derivative of -l**5\/20 + l**4\/3 - l**3\/6 + 2*l**2 - 7*l. Does 3 divide j(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 12*k**2 - 4*k + 3. Let m = -195 - -218. What is the remainder when t(2) is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*l**2 - 1434 + 1434.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 25102*c**2 - 36*c - 23. What is the tens digit of s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*a**4 + a**4 + 3*a**4)*(7 + 10 - 7) as i*a + g + o*a**2 + f*a**3 + s*a**4 and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4*3\/(-624)*-13. What is the third smallest value in a, -9\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -26 + 55. Let t(g) = -g**3 + 3*g**2 + 3*g - 5. Let j be t(4). Let w = j + m. Solve 3*z - z = 3*b + 16, 4*z - w = 3*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 7034426, 14068867, 21103308, 28137749?\n\"Answer: 7034441*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 3708.41 decades?\nAnswer: 370.841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 - -89922.9.\nAnswer: 89926.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/6, -0.3, 0.1, -0.05?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 = 159*f - 21 + 39 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*k + 120 = -43*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2266098 = -10895*t - 13981*t - 101886 for t.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -3653643 (base 9) to base 8.\nAnswer: -7443206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -11*y**3 + 41*y**2 - 72*y + 22. Let i(g) = 57*g**3 - 203*g**2 + 359*g - 109. Let r(j) = -22*d(j) - 4*i(j). Determine x, given that r(x) = 0.\nAnswer: 3\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*o + 76 = 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 345, 330, 317, 306, 297?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Add 1.37054 and 1.34.\nAnswer: 2.71054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2 - 2)*(-2*i**4 + 4*i**4 - 3*i**4).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let 3*o**2\/4 + 4329*o\/4 + 2163\/2 = 0. What is o?\nAnswer: -1442, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -15.87 + 16.7. Let h = -2.17 - r. What is the nearest to -3 in h, -0.4, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*l**5*r - 354*l**4*r - 3*l**2 + 683*r wrt l?\nAnswer: 120*l**2*r - 8496*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.4 and 1.7758.\nAnswer: 1.3758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 2)*(259 - 259 - f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -5*m**2 - 7*m - 8. Let x(u) = -5*u**2 - 7*u - 8. Let p(g) = -7*f(g) + 6*x(g). Let a be p(-6). Round a to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.032 - -10101584\nAnswer: 10101583.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 427938 and 2215?\nAnswer: 2139690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1392.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -22*f + 6*f - 80. Let c(o) = -8*o - 13. Calculate the lowest common multiple of c(f) and 4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -27026*s + 1556. Let a be k(-14). What is a rounded to the nearest one thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 10 = 4*h - 4*i, 0 = 3*h - 3*i + 15. Let k = 25\/4 - 133\/20. Let p be 25\/6 - (-6)\/(-36). Which is the nearest to h? (a) k (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x**5 + 101648*x**4 + 101640*x**3 - 304948*x**2 - 508234*x - 203292 = 0. Calculate x.\nAnswer: -50823, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0\/(2\/(-1) + 4). Let d = -18385 - -18387. Solve r = d*f + 8 + 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18 + (-4 - 1 - -36) + 9.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4626657, -9253316, -13879979, -18506646, -23133317, -27759992, -32386671?\nAnswer: -37013354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/7, -2\/3, 1\/17, -11, 1\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 386 minutes after 10:56 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - n + 3*i = -9, n + 5*i = -3. Let p = n + 19. Which is the smallest value? (a) p (b) 0.4 (c) -0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 13471*h - 3907. Is s(30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-46*w**3 + 160*w**3 + 88*w**3)*(-w - 3*w + 2*w)*(3 + 1 - 2)*(1 - 3 + 0) in the form f*w**2 + b*w + s*w**4 + u*w**3 + x and give s.\nAnswer: 1616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 14602 and 1.\nAnswer: 14602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 2024485678 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.084 take away 10175675?\nAnswer: -10175674.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -1 < 4\/3509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -25*b - 85. What is c(-6)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r**2 + 29*r + 36. Is h(9) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/w**(-2\/3)*w)\/w**(-11))**(6\/23)*((w\/w**4*w)\/(w\/w**(-8)))\/(w**7*w**(-1\/15)*w) assuming w is positive.\nAnswer: w**(-5302\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 33 + 14. Let u = s + -20. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/7, 3, 0.026, 22 in descending order.\nAnswer: 22, 3, 0.026, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + sqrt(25)\/sqrt(20).\nAnswer: -4 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 9*q**3 - 3*q**2 + 21. Let z(l) = 4*l**3 - l**2 + 11. What is -6*p(b) + 11*z(b)?\nAnswer: -10*b**3 + 7*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1248\/(-1456))\/((-4)\/(-14)*(-25)\/(-400)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 393 divide 5515053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.1723 + -6.1763. Round l to 1 decimal place.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 106 a factor of 3171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.7 (b) -4 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 123*t**2 + 4060*t + 34. What is x(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 574 + -579. Let d(f) = 10*f**2 + 4*f + 4. Let m(t) = -11*t**2 - 5*t - 3. Let g(z) = -2*d(z) - 3*m(z). Is g(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/28 - (-6080)\/70. Which is greater: 175\/2 or v?\nAnswer: 175\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 25\/(-5)*(-4)\/((-40)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 635 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ixizbkb. Give prob of picking 1 k and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -24 - -29. Sort -0.17, 4, y, -0.1.\nAnswer: -0.17, -0.1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 94*f + 396 = 82*f. Sort 4, f, -3 in ascending order.\nAnswer: f, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 439 smaller than 440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = -185 - -1297\/7. What is the third biggest value in 5, y, 2, -1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the second derivative of -i**5\/20 + i**4\/6 - i**3\/3 - i**2 + 4*i. Let o(h) = -15*h**3 + 33*h**2 - 33*h - 33. Let v = 23 - -10. Give v*p(q) - 2*o(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-7\/4)*g)**(-39)*g**(6\/13)\/g*g**4*g assuming g is positive.\nAnswer: g**(1753\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in twenty-nine thirds of a week?\nAnswer: 97440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(102)*-3 - sqrt(102))*-4)\/sqrt(6) + 0 + ((sqrt(612)*-3 - sqrt(612))**2 + 5 - sqrt(612))*-1.\nAnswer: -9797 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.07, -2\/63, -4622, 4, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 444 minutes after 7:55 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/10 - (-1482)\/95. Suppose 4*k + 3*h = 15, -d = 2*k + h - 4*h. Let y be 1*3*2\/6. Solve k = -3*x + 4 - y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 2 = -4*f - 16, 0 = 2*f + 10. Factor 2 - 6 - c*p + 8 - 2*p**2.\nAnswer: -2*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-16))**(13\/5) assuming k is positive.\nAnswer: k**(-208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 309 + 344 = 3*i - 5*s, -5*s = 5*i - 1075. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 66*f - 1592. Let v be s(25). Solve -v*u - 48 = -42*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43*k**2 + 224996 - 224996.\nAnswer: -43*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + 0 + 59 + -51?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 4*s + 5*s = -6, -2*m - 2*s = -12. Which is smaller: m or 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 404 - 404.4. What is the closest to 1 in 2, -14, 5, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1933366us in seconds?\nAnswer: 0.0000001933366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 421 minutes before 2:23 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5\/6861 and -53\/12015?\nAnswer: 27478305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6.09 + -6. Let w = 0.49 - t. Which is the nearest to 2\/7? (a) 4 (b) w (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (5 + -3 + 2)*5. Let a = -21 - -41. Suppose 4*f - 17 = 5*v, 3*f + v = 7 + a. Solve r = -5*b - 5*j - 0*j, 2*b + 3*j = -f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -10 + 50. Suppose 0 = -3*s - s + r. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 19780753463698547263\/2000054 - 9890109698887. Let z = 6\/13699 + x. Calculate the common denominator of (-126)\/(-32) + (-1)\/(-4) and z.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -5, 0.3, -3\/7, 1712, -76, -21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 18 = s, -6*s + 4*s - 2*o + 28 = 0. Suppose s*a - 315 = 8*a. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*v - 47 + 35*v - 6*v - v - 6*v + 48 - 2*v.\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + d - a = 3*a + 48, -4*d = -4*a - 35358 + 35394 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - ((-1 - -2) + 5 + (41 - 45)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3051 - -3054. Solve 2*a - 2*v - 18 = 0, 3*a + v = i*v + 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from twvv. Give prob of sequence vw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 82*y. Let l(s) = -788*s**2. What is i(l(c))?\nAnswer: -64616*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {t: 1, x: 5, h: 5}?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**2 - 11*y - 20. Let w be q(13). Find the third derivative of 268*o**6 + 26*o**2 - 251*o**6 + w*o**2 wrt o.\nAnswer: 2040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -103 and 53202.\nAnswer: -5479806","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 2*h - 6*h. Suppose h*g - 347 = -5*l + 175, -g + l + 166 = 0. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 18 + -12. Suppose 11*i - p*i - 295 = 0. Let u = i + -37. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 7, a: 8, r: 1, y: 1}. Give prob of picking 2 a.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1193 is divided by 512?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 87\/23 + (-14424)\/(-45075) + 108\/(-25)?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.16 - -2.84. Let m = -2.82 + 0.82. Let q = 0.03 + -0.06. What is the nearest to m in 1, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.4 + 2.5. Let l = 3.1 - p. Which is the closest to 0.04? (a) 4 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 53 - -7?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1.2485 or -55928?\nAnswer: -55928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -21004031 + -111422?\nAnswer: -21121003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 60 = -k, 2*k + 4*r - 56 = k. Suppose 2*h = -2*h + k. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 605 - 642.3. Let b = -37.29999757 - k. Round b to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.1 (b) 2 (c) 190\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 34, 56, 88, 130?\n\"Answer: 5*d**2 + 7*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:06 AM and 12:52 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -33, 5549, 36 in increasing order.\nAnswer: -33, 36, 5549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 2 + 71 + 2654 + -2674.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8327.\nAnswer: 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(3\/8))**(-6\/7)\/(((p**(-8)*p)\/p*p)\/p**(-9)) assuming p is positive.\nAnswer: p**(-65\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the first derivative of i**3\/6 + 73*i**2\/2 + 5329*i\/2 - 1719. Factor z(r).\nAnswer: (r + 73)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*i**3 - 8216865*i**2 = 0. Calculate i.\nAnswer: 0, 1643373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be 12\/(-30) + 94\/10. Suppose s = 2*u + u. Solve 5 = 4*z - u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50503?\nAnswer: 50503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -30360167*y**3 + 4281*y**2 - 65*y.\nAnswer: -182161002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*f**3 - 10*f**3 + 8*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the third derivative of d**5\/30 + 2*d**2 + 42. Let q(j) = -295*j**2. What is w(q(k))?\nAnswer: 174050*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 384563184 by 12405264.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -11*m**4 - 304*m**2 + 110*m - 8. Let r(u) = 7*u**4 + 203*u**2 - 74*u + 5. Let c(n) = 5*o(n) + 8*r(n). What is the second derivative of c(g) wrt g?\nAnswer: 12*g**2 + 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11735.96 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor c**4\/4 - 14911675*c**3\/2 + 74119355405766*c**2 - 245609802137102950408*c + 491219307796843924448.\nAnswer: (c - 9941116)**3*(c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f**3 + f**2 - 4*f - 3. What are the prime factors of j(5)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:39 PM and 2:23 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -2*w**2. Let o(l) = 4*l**2 - l**2 - l - 2*l**2 - 1 + 0*l**2. Let u(d) = 6*d**2 - 5*d - 5. Let r(x) = -10*o(x) + 2*u(x). Calculate j(r(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) be the second derivative of -103\/12*s**4 + 0*s**3 + 214*s + 0 - 121\/2*s**2. Differentiate f(q) with respect to q.\nAnswer: -206*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = a - 205 + 29. Suppose 0 = 4*v - 0*v - a. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 42 = -3*f - 6*u, f - u - u = -1 + 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 3, e: 1, i: 1, w: 2, b: 6}. What is prob of sequence bb?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4 + (-3 + 1 - -1). Suppose -2*k + 12 = -3*k + 4*y, -2*y = -10. Let a = w - k. Let s(p) = p**2 + 4*p - 5. Determine s(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37841929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Round 7030195.585 to the nearest one thousand.\nAnswer: 7030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 139464509 to the power of 1\/3, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-6295)\/(-15) + 5)*((-553)\/(-14) + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 31 (b) -5 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -0.01 > -4609249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u**2 - 22*u + 104. What is f(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (((-3784)\/80)\/11 - 10\/20)*1155\/(-132)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -446 - -464. Let m(w) be the first derivative of w**2\/2 + 39*w + 6. Let h be m(-24). Which is bigger: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = 11 + 19. Let w be 3\/9*10\/h. Which is the second biggest value? (a) w (b) 0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2056 + 2056.070099. Let n = 0.08 - 0.15. Let g = n + x. What is g rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 6201661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*n - 5 + 15. Solve -3*y + 5*f = -n*y + 11, -3*y = -5*f + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*n = 32*n + 45. Solve 4*x + 0 = -l + 10, n*l + 2*x + 4 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 29 - 28. Let d be (-14)\/(-3) - x\/((-15)\/(-10)). Solve -d*m + 10 = -3*p, 0*p - 2*m - 2 = 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3572 divided by 76.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 0*s**3 + 23*s**2 + 3*s - 24*s**2 + 2*s**3 - 2*s**4 + 0*s**3 as v*s**4 + i + d*s + k*s**2 + r*s**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.4 and 1393219602611.\nAnswer: 1393219602610.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 898*h**2*w**3 - 97*h**2 + 2*h*w**6 - 6*h*w**3 - h*w**2 - 117*w**2 wrt w?\nAnswer: 5388*h**2 + 240*h*w**3 - 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -107*s + 37*s + 32*s + 19*s**2 + 37*s in the form g*s + q*s**2 + o and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1199?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -25 + 24.9. Let d = -0.97 - -1. Sort u, -0.7, d in ascending order.\nAnswer: -0.7, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -39*f - 35. Determine h(1).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 243 smaller than 202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6.4 + 6.3. What is the third biggest value in -2, -5\/3, h, 1\/2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 3*g + 107447 = 0, -9786 - 97660 = -4*k + 2*g. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4844 or -1?\nAnswer: 4844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 4*o = -462, 0 = 2*o - 3*o - 2. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18771107021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes before 4:34 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 129959627 - 0.4.\nAnswer: 129959626.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n + 3. Let x be k(3). Suppose -3*t + 18 = 3*h, 4*h + 0*h = -3*t + 21. Let i(a) = 2*a - t*a + x*a. Give i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 28296356 to the power of 1\/3, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -2*j - 6. Suppose 9*c - j*c - 285 = 0. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1150 = -18*z - 164. Suppose 4 = -2*b - 4*a, 6*b + 6 = 3*b + 5*a. Put 3, z, b in decreasing order.\nAnswer: 3, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2093429 to the nearest 10000.\nAnswer: -2090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 5*o - 497 = 0, -o + 270 = 2*v - 702. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 334, 485, 886, 1663, 2942?\n\"Answer: 21*r**3 - r**2 + 7*r + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor i**5 - 52*i**4 + 629*i**3 - 578*i**2.\nAnswer: i**2*(i - 34)*(i - 17)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01 plus -93062?\nAnswer: -93062.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -36 or 20?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 458057 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(52\/(-44538)*114) + -15?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 663 at most as big as 664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -41*y - 3*i + 6 = -50*y, -3*y - 2*i = -13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (n + 0*n + 4 + 0*n)*(6*n**2 + 0 + 0).\nAnswer: 6*n**3 + 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose t**5 + 36262*t**4 + 328696896*t**3 - 657538848*t**2 = 0. Calculate t.\nAnswer: -18132, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-9)\/7 - (-4)\/14. Calculate the common denominator of 6084\/162 - 16\/(-36) and (-1906)\/(-44) - ((-18)\/(-22) + q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-194)\/18 - -10)*8\/28. Let a = 0 - 0. Let i = 1 + a. What is the closest to i in -5, w, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u - 1. Let i be g(3). Suppose 0 = -i*l + 6*l - 20. Solve z = -3*c - 3 - 8, l*z + 4*c + 11 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -117 (base 16) to base 14.\nAnswer: -15d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 264 minutes after 3:24 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -155\/75276 and -85\/54?\nAnswer: 75276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2 or 0.03379086?\nAnswer: 0.03379086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the first derivative of -a**2 - 26*a + 18. What is the derivative of y(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*(-248)\/120*99\/66.\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.14 minus -0.8?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 2*d + 28. Let v be r(13). Let x be (v\/(-18))\/(6\/8*-2). Suppose -4*w + 21 = 2*s - 107, -x*s = -w + 22. What is the remainder when 89 is divided by w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (2\/14)\/(60\/630)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 310 minutes before 10:49 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -6 - -2221?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the third derivative of y**7\/42 + 23*y**5\/30 + 185*y**4\/8 - 1188*y**2. Find the second derivative of k(u) wrt u.\nAnswer: 60*u**2 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o, 2 l, and 1 g when four letters picked without replacement from glggoggkgglk.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (3 + -1 - 7\/((-1785)\/(-522)))\/(901\/13515)\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.05 - 4.05. Let x be (4 + -8 - -4)\/1. Let r = 2.8 - 3. Which is the nearest to x? (a) r (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the third derivative of v**5\/60 + 5*v**3\/3 - 4*v**2. Let m(x) = 2*x**2. Give m(j(r)).\nAnswer: 2*r**4 + 40*r**2 + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (-6)\/(-16) + -22 + -17 + 38?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*c**2*f**2 - 239361153*c**2 - 7*c*f + 1578*f**2 + 989*f with respect to f.\nAnswer: 4*c**2*f - 7*c + 3156*f + 989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/1295 and -27\/3322340.\nAnswer: 122926580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(-2\/9))**1\/(r**1\/r)**50 assuming r is positive.\nAnswer: r**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -1475 - 1\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -237 - -262. Suppose 0 = z - 20 - 6. Is m greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = -k - 2*k + 91, 0 = -3*k - 2*h + 94. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l\/(l*l**(-8)))\/l**(-8\/7))**(-37) assuming l is positive.\nAnswer: l**(-2627\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -17 + 8 + 1 + m**2 + (0 + 0 - m)*(0*m + m - 2*m).\nAnswer: 2*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be 50\/275 - (219600\/(-11))\/2. Suppose -4*k + v = 3*k. What is the remainder when 90\/24 + -4 - k\/(-8) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 7*((-6)\/3 + 45). Suppose -3*n + 2*f + c = -99, -675 = -5*n + 5*f. What is n rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**2 + 8*p - 4. Let g be x(7). Let h(n) be the second derivative of 1\/7*n**g + 2*n + 2\/7*n**2 + 0 - 1\/3*n**4. Find i, given that h(i) = 0.\nAnswer: -2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3b4 + -1?\nAnswer: 3b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uueuvvuv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be 18\/(-4)*(-16)\/(-12). Let r(a) = -a**2 + 2*a - 8. Let n(l) = -5*l**2 + 7*l - 33. Let h(g) = -2*n(g) + 9*r(g). Give h(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of (-32)\/48 + 183828\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 204*h = 165*h - 663 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 136015650 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -20 in 16015, -2\/9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/1467298 and -81\/30478.\nAnswer: 10271086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**3 + 3*v**2 + 3*v + 3. Let h(p) be the second derivative of -p**5\/4 - 11*p**4\/12 - 11*p**3\/6 - 11*p**2\/2 + 20*p. Determine -22*f(b) - 6*h(b).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 96 is divided by 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 912 and 44574?\nAnswer: 356592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -17504848*l**4 - 741*l**2 - 8497 wrt l?\nAnswer: -420116352*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((9\/2)\/3)\/21)\/(64 - 89817\/1404)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*sqrt(1280) - sqrt(1280))\/(sqrt(810)*-3 - sqrt(810)) + 3 + (-5 + sqrt(128)*1 - (0 + sqrt(128))*-6))**2.\nAnswer: -664*sqrt(2)\/3 + 55148\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 315646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -185 + 359. Let r = -174.2 + h. Which is the biggest value? (a) -2\/15 (b) r (c) 1\/4 (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 + -4 - 2 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b**4\/3 + 704*b**3\/3 + 2*b**2\/3 - 704*b\/3 = 0 for b.\nAnswer: -1, 0, 1, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 340 a factor of 179875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7.6 - -1.6. Let h = -596 - -595.8. Is j <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 773335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ctpaijjpipii. Give prob of sequence pt.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -5*z - 10, 7*z - 4*z = 4*g - 6. Which is greater: g or 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4738 - -14522\/3. Let i = 104 - f. Are i and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**2 - 4*c + 2. Let n(i) = i**3 - 4*i**2 - 6*i - 4. Let r be n(5). Let f be 4\/(-3)*r\/2. Let l be f + (-1 - (3 + -3)). What is h(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.06*2.20939\nAnswer: -0.1325634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -1. Let k(w) = -1 + 2*w - w**2 + 6 - 3*w. Let x(d) = d**2 + 119*d + 1383. Let t be x(-13). Give t*j(s) + k(s).\nAnswer: -s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 211, -2, -89, -1 in descending order.\nAnswer: 211, -1, -2, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -3 times 16994730\nAnswer: -50984190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -90 - -87. Let z = u + -2. Which is the second biggest value? (a) 2 (b) -1\/28 (c) -1 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + -22 - 19776\/(-1248)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 161, 298, 547, 920, 1429, 2086, 2903?\n\"Answer: 2*p**3 + 44*p**2 - 9*p + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001374412002 to 7 dps.\nAnswer: -0.0013744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2, 0, 3.9, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 6 (b) -0.325 (c) -3 (d) 44 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 7*f + 12689. Let v(t) = -t**3 + 6*t**2 - 8*t - 3. Let j be v(3). Is x(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.99 - 2.0285. Round q to 3 decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1167385 to the nearest one thousand.\nAnswer: -1167000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 64948.27 nanoseconds to milliseconds.\nAnswer: 0.06494827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3 (b) 5 (c) 0.5 (d) -96.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-346)\/(-1)*(21\/(-14) - -2). Suppose -p + 53 = -w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 34\/6 - 2\/3. Let i = 9 - x. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (51 - 51 - 3*z)*(2 + 2*z - 2) + 4*z**2 + 0*z**2 + 16 - 23 - 3*z**2 + z**2 + 0*z**2.\nAnswer: -4*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 116 = 89*b - 60*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-6)\/(-9) + ((-320)\/(-6) - 1). Calculate the highest common divisor of 530 and k.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1124334202 (base 5) to base 9\nAnswer: -4753245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 219935766611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 618943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.04, 34, -0.2 in increasing order.\nAnswer: -0.2, 0.04, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 179586*w - 3412120. Give x(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*h**2\/2 - 700677*h\/2 + 100097.\nAnswer: -(h + 100097)*(7*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 64*a - 1537 = -170 + 297 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x - 13 + 9. Suppose -43 - 61 = -x*o. What is the common denominator of -81\/22 and (2*(-175)\/(-10))\/o?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1 and 9.7167?\nAnswer: -9.7167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be 50\/18 - 14\/(-63). What is the third derivative of c - 3 + 3*z**3 - 13*z**2 + 14*z**2 wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the first derivative of -3*b**2\/2 + 4*b + 1. Let n be j(4). Let l = -7 - n. Is l != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 21044873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let -2\/9 - 4\/9*t**2 + 2\/9*t**5 - 2\/3*t + 4\/9*t**3 + 2\/3*t**4 = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w + 14. Let o(z) be the third derivative of -z**3\/6 + 901*z**2. What is -h(v) - 4*o(v)?\nAnswer: -v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -7*q + 7. Let o(z) = -3*z + 4. Let s(r) = 4*k(r) - 7*o(r). Let h(b) = -b. What is s(h(u))?\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) 1\/10 (b) -0.4 (c) -2 (d) 65\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -24\/1063? (a) 0.1 (b) 4 (c) -3 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -47293 divided by 53\nAnswer: -47293\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 241112355 and 21919305?\nAnswer: 241112355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -126061, -504193, -1134415, -2016727, -3151129?\nAnswer: -4537621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwjjjwujjuuuj. Give prob of picking 1 j and 1 w.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 30 - (14 - (-88 + 42))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1142388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 * 5471.\nAnswer: 1641.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -13*q**5 - 877307*q**2 + 540406609*q wrt q?\nAnswer: -260*q**3 - 1754614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 91*-6.77.\nAnswer: -616.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 3*f**2 + 1 - 1 - 5 + 3*f**2 + 8 + f**2 + (-8*f**2 + 19*f**2 + 9*f**2)*(0 + 1 + 0) as b*f + z + r*f**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 6*v - 5. Suppose 3 = -3*u - c, -2*c + 791 = 3*u + 803. What is y(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - -3 - 0 - (-9 - -12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the third derivative of -h**6\/360 + 4*h**5\/45 + 127*h**4\/72 + 55*h**3\/9 + 14*h**2 + 39. Factor i(q).\nAnswer: -(q - 22)*(q + 1)*(q + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 380 divide 4806240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, f: 3, y: 13}. What is prob of picking 1 a and 1 f?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 184 is divided by 45.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the third derivative of -5*l**4\/24 + 2*l**3 + 5*l**2. What is the first derivative of f(u) wrt u?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 300\/(-74) - (-30)\/555. Let r = 6\/25 - 16\/275. What is the nearest to -6\/11 in q, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -4*v**2 - 6*v - 5. Let i(n) = 2*n**2 + 4*n + 2. Give 7*i(j) + 3*w(j).\nAnswer: 2*j**2 + 10*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 525180 is divided by 52?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -34*l**2 - 3. Let c(m) = 32*m**2 + 2. What is -6*c(t) - 4*x(t)?\nAnswer: -56*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*r**3 - 2776*r**4 + 1389*r**4 - r**2 + 1388*r**4 - 5*r to the form c*r**2 + b + a*r**4 + n*r**3 + h*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the third derivative of f**4\/8 + f**3\/6 + 3*f**2. Let z be d(0). Let x = -44 - -131\/3. Which is the nearest to z? (a) 4 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**3 + 6*s**2 - s - 3. Let g be m(-5). Let i = 31 - g. Solve 3*n + 2*n + 24 = -c, 0 = 4*c - i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1047779519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -0.3 + -0.313\nAnswer: -0.613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-1\/3)\/(l*l**(-14)))\/((l**(-1\/7)*l)\/l)**(17\/4) assuming l is positive.\nAnswer: l**(1115\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be 900\/(-21)*(-10 + 3). Suppose 40 = -2*w + r. Suppose 8*o - 3*o = w. Solve o = -5*v + 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 350942830?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 101671 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-18)\/21*((-820)\/120 - (-1)\/(-6)). Let m = -23 - -50. What is the highest common divisor of m and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 13 - 11. Let k be (2\/b)\/(-2 + 1). What is the units digit of (-3 - k)*-3 - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b = 3*w - 5, -5*b + 1 = -3*w + 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -2*y + 3. Let t be z(3). Let x be 0 + 1 - 1*-1. Put t, 0, x in descending order.\nAnswer: x, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4336 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -25*h - 14. Let t be b(-1). Suppose -6*z = -t*z + 670. Calculate the remainder when z is divided by 71.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and -209192536 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1574 rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2523 + 2563. Solve -9*h + q = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -96156 + 98108 = 61*v for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (23 - 23 - 24*l)*(63 - 73 - 39) as g*l + w and give g.\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (19\/(-38))\/((-6)\/(-72)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -349 - -1423. Suppose 39*h - m = 1500. Calculate the remainder when 124 is divided by h.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p**2 + 58. Let g(v) = 7*v**2 + 86. Calculate w(g(l)).\nAnswer: 49*l**4 + 1204*l**2 + 7454","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 27.61979 kilometers?\nAnswer: 27619790000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Let u be (-12 - -13)\/((-1)\/(-113)). Suppose 3*p = -3*x + 78, -x = 3*p - 5*x - u. Suppose -m = 3*m - 4*a - 112, m - 4*a = p. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, a: 10, i: 3}. What is prob of sequence ni?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-44)\/(-44) - (4\/12 - -1). Let w = 4.8 - 5. What is the nearest to s in w, 1\/3, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -11*a - 12*a - 3 - 11*a + 53*a - 16*a. Let i(x) = -x + 2. Let h(m) = 2*g(m) + 3*i(m). Let c(j) = -55*j - 2. Calculate c(h(t)).\nAnswer: -165*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.009 or 2\/5?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(2\/11)*h\/(h\/(h\/((h**3*h)\/h))*h))\/((h*h\/(h*h\/h**(2\/3))*h*h*h*h)\/h*h\/h**(-1\/2)) assuming h is positive.\nAnswer: h**(-527\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-34)\/289 + 6\/51?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -52 + 73. Let v(j) = -5*j - 6. Let r be v(-3). Let s = y - r. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes before 7:04 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 330120112 (base 4) to base 7.\nAnswer: 2050021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -63\/20 and 2\/295.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*n - 75*n + 21*n + 18*n + 16*n + 15*n - 5*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.92 and 0.2.\nAnswer: -0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3\/15 + (-1)\/((-30)\/(-76)). Which is the third biggest value? (a) 0 (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 1 = -3, -4*c + 2*h + 24 = 0. Suppose 3*j = -c*o + 170, 5*o + 5*j = 133 + 47. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -90 + 82. Let w be -12 - -2 - (-12 - y). Is 6\/5*((-922)\/w + 3) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/4)\/(-1) + 3 + -6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w**3 + w - 1. Suppose -7 - 8 = 5*u. Let v(g) = -3*g**4 - 9*g**3 - 3*g**2 - 3*g + 3. Let j(c) = u*i(c) - v(c). Suppose j(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0043499 rounded to 5 decimal places?\nAnswer: 0.00435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*m, -m = -2*w + 5*w - 18. Suppose -4*f = -77 - 5979. Find the common denominator of f\/(-252) + w\/27 and 31\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.26478275 rounded to 4 dps?\nAnswer: -0.2648","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Expand (2*n**2 - n**2 + 0*n**2 + (-3*n + 3*n + 2*n)*(0 + 0 - 2*n) + 0*n**2 - n**2 + 3*n**2)*(n - 3 + 3)*(6 - 10 - 12).\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes before 3:21 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 46291*v - 2592274. Calculate m(56).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -y - 4 = -2*l, 0 = 4*y + 3*l + 19 - 36 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17744 is divided by 506?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (13*o - 16*o + 38*o)*(-37 - 32 + o + 7)*(-o - o + 0*o).\nAnswer: -70*o**3 + 4340*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 79781?\nAnswer: 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l + z = 10, -5 = 6*z - 5*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 - (-40 + 0)\/(-1). Let p = 31 + m. List the prime factors of (-36)\/(-8) + p\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -694, 122, 3?\nAnswer: -694","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7.05 + 7. Let i = q - -0.13. Let d = -2.92 - i. Which is the third biggest value? (a) 2\/7 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -780 - -784. Find the second derivative of 18*d**4 + 173*d - x*d**4 + 3*d**5 - 56*d wrt d.\nAnswer: 60*d**3 + 168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1128*x**2 - 3386*x**2 - 2730*x**2 + 2482*x**2.\nAnswer: -4762*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1700.2 + 1700. What is the fourth smallest value in 7, y, 5, -0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -4*a - 20. Let j(g) = 5*g + 3. Determine -2*j(q) - 2*k(q).\nAnswer: -2*q + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -5*t - 479. Let z(u) = -2*u - 2. Determine i(r) - 3*z(r).\nAnswer: r - 473","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10, -31, -78, -163, -298, -495?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -2*i - 4. Let v be q(-3). Let g(j) = 3*j**2 - 3*j + 3. Give g(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*u + 3*u + u + (1 + 0 + 1)*(-3*u + 4*u - 2*u) - 3*u + 0*u + 2*u + 170*u - 11669 + 11669 + 0*u + 0*u - 2*u.\nAnswer: 166*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 7*s**2 - 82*s + 377. Determine l(5).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((1 + (-1)\/(-2))*(-147 - -148))\/5.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 50.96 + -16.11. Let r = 1.65 + v. Round r to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -2*l + 2. What is the tens digit of m(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 73, 1584, 7 in ascending order.\nAnswer: 7, 73, 1584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*l - f + 807 - 778, -4*f + 12 = 0 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 53*s - 251*s - 64*s - 238*s - 580*s in the form i*s + b and give i.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 174 - 3*b - 174.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 211? (a) 4 (b) -0.2 (c) -41 (d) 2\/15 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r**3 - 10*r**2 + 10*r - 4. Let x be l(-5). What is the hundreds digit of 4*(-6)\/8 - x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1300)*1 - sqrt(65)\/(sqrt(10)\/sqrt(2)).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is d3 - -42?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**3 - 9*q**2 + 2*q - 16. Let f be b(9). Suppose -o + 1121 = f*k + 133, -1484 = -3*k - 2*o. Let g = -305 + k. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 102*t**2 + 1017*t - 23. Calculate the remainder when m(-12) is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 978652?\nAnswer: 2, 19, 79, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-940788)\/(-65286) + (-86)\/6\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54*z - 2589646 = -201057 + 1202195. List the prime factors of z.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 249 is divided by 47.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 14.00006 - 14. Round p to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27875580427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*2*((-192)\/(-4576))\/((-340)\/(-935)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -199487, 4, -4 in ascending order.\nAnswer: -199487, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 30*f - 155*f + 35*f + 11*f + 40*f + 31*f - 6.\nAnswer: -8*f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -33 = 10*g + g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in -1, 32.2, -199, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q - m = -1, 90*q - 95*q + 5*m - 5 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 96, 0.5, 0.6, 0.2, 27?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 85 a factor of 1361720208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gaaggggaggaggggagm. What is prob of sequence gg?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n be -5*(-2 + (-84)\/15). Suppose 3*d - 1947 = -5*s - 228, 4*s = -4*d + 1380. Calculate the greatest common divisor of s and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**2 - 8*q + 7. Let f be z(7). Does 14 divide (-5 - (f - 2)) + 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = 50*c - 165. Solve c*z + 5 = 8*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.3847616 to 2 decimal places.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 380623 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 102*t**2 + 8*t + 16. Let h(z) = 73*z**2 + 5*z + 11. Let j(a) = -7*h(a) + 5*v(a). Calculate j(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 160 + 2415011?\nAnswer: 2415201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 286751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -2\/11 (c) -133 (d) 25 (e) 81\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*p - 4*a + 16*a - 7*a - 10, -2*a = 5*p - 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.15 + -0.25. Let i = 2 - 5. Let c be ((-1)\/i)\/(10\/(-3)). Put c, -1\/6, a in descending order.\nAnswer: c, -1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 344836147 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 5997991 to the power of 1\/2, to the nearest integer?\nAnswer: 2449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 0*a + 2 - 2 + 6 - 3*a. Suppose 2*y + 67 = 7*y - t, -4*y + 3*t = -58. Let c(m) = -7*m + 13. What is y*x(f) - 6*c(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 - 1 = 5*y. What is the first derivative of -7 - 33*m**3 + 2 + 35*m**y wrt m?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 times -931976?\nAnswer: 372790.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -192 by -32.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 47456556 divided by 7909426.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 54 - 32. Let y(s) = -s**2 + s. Let k(q) = -9*q**2 + q + 12. Let p(m) = g*y(m) - 2*k(m). Factor p(n).\nAnswer: -4*(n - 3)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1947 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 23, 48, 95, 170, 279, 428, 623?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 175026671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2 - -3) + -16 + 12. Let u(g) = 29*g**3 + 4*g - 3. Let m be u(j). What is the greatest common divisor of m and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 2*(sqrt(1053) + 1)**2*4*4.\nAnswer: 576*sqrt(13) + 33725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 493 minutes after 1:17 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 3 - 2)*(-4*v + 10 - 10 + (1 - 2 + 2)*(2*v + 0*v - 3*v) + 3*v - 2 + 2 - 2*v + 0*v + v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**0*q\/q**(-3)*((q\/(q\/q**(2\/7)))\/q)\/(q**(-5)*q))\/((q**(-1\/4)*q)\/(q\/((q*(q*q**(-4\/5))\/q)\/q)))**(-1\/43) assuming q is positive.\nAnswer: q**(43713\/6020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m + h + 13, -7*m + 2*h - 13 = -10*m. Put -110, m, -4 in increasing order.\nAnswer: -110, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) be the first derivative of l**2\/2 + 8*l - 7. Calculate x(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -50 - (25 - (61 + (2 - 28))).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c + 5*j - 18, 3*c = 2*j + 2*j - 13. Solve 3*k + 3 = -2*y, -2*y - 2 + c = 5*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 1, b: 1, f: 3, q: 2}. What is prob of sequence fbq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 91*t - 18 = 73*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -337, -676, -1015, -1354?\nAnswer: -1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 326172465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -19, -14, -25, -58, -119, -214, -349?\n\"Answer: -m**3 - 2*m**2 + 18*m - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 139723 and 269.\nAnswer: 37585487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = -23 + 25. Suppose 0 = 3*a + w*a - 260. List the prime factors of (-1)\/4 - (-2093)\/a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w**3 - 2*w - 1. Let s(g) = 4*g**3 - 3*g**2 - 4*g - 3. Let k(f) = s(f) - 3*y(f). Factor k(m).\nAnswer: m*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 301 + (-1 - (5 + -2)). Let p(d) = -u*d + 149*d + 147*d. Let t(g) = 64*g - 8. Let c(x) = 21*x - 3. Let q(v) = -14*c(v) + 5*t(v). Calculate q(p(n)).\nAnswer: -26*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1 + 3. Suppose m*p = -8, 33 = z + 4*z - 2*p. Suppose -97 - 23 = -z*r. Calculate the remainder when 45 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2044 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = -17 - 1. Let p(a) = -2*a + 1. Let i(x) = -x. Let c(y) = h*i(y) - p(y). Differentiate c(d) with respect to d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 61\/2 of a week in hours?\nAnswer: 5124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -5, -0.2, -12.62, 25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -17 = 3*r + 5*g, -18 = r - 5*g - 39 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -320, -344, -406, -524, -716, -1000, -1394, -1916?\nAnswer: -2584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*p**2\/3 + 1952*p\/3 + 2624.\nAnswer: -4*(p - 492)*(p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 108309474 a multiple of 852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7373 + 7372.1. Suppose -6*v + 8 = -4. What is the second biggest value in -5, 1, a, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8349 + 8410. What is the remainder when 238 is divided by a?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 26333199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**3 - 3*z**2 - 13*z + 28. Determine g(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10021333 + -11?\nAnswer: 10021322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 7, s: 6}. Give prob of sequence ssss.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from qqqqcqmhqqfq.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 2616*t**2 - 9*t - 8567. Let d(h) = 2618*h**2 - 8*h - 8581. Let x(m) = 8*a(m) - 9*d(m). Differentiate x(s) with respect to s.\nAnswer: -5268*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(1470)*-5 + sqrt(1470))\/((sqrt(160)*2 - sqrt(160))*6).\nAnswer: -7*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 14209, 14077, 13945?\n\"Answer: -132*c + 14341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 331 is divided by 207?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.235335 rounded to 3 dps?\nAnswer: -0.235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 70 - 50. What is the units digit of ((-8)\/(-20))\/(1\/i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 20*v = 975. Calculate the remainder when v is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 3*k + 5. Let t be w(-12). Let p(b) = -b**3 - 30*b**2 + 31*b. Let f be p(t). Solve f*q = -q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5.5 + -101.5. Let t = -95.999795 - n. What is t rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*n - 8*n + 646 = -19*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -6*s**3 + 2*s**2 - 15*s - 8. Let j(t) = 5*t**3 - t**2 + 15*t + 7. Let x(b) = -7*j(b) - 6*w(b). Determine x(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 73337510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**2 + 13*p + 45. Let k be -5 - (-7)\/63*51 - (-85)\/(-15). Determine i(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*u - 2*u + 2*u + 5*u - 4*u - 2*u + (0*u + 0*u - u)*(1 - 2 - 1) + 5*u + 3*u - 10*u - 13.\nAnswer: u - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 15973 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2251 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1274 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 195\/11, -2\/3, 4, -9357, -0.6 in descending order.\nAnswer: 195\/11, 4, -0.6, -2\/3, -9357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/541 in 354.6, -0.2, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h and 1 s when three letters picked without replacement from sdhxdqqrxhxsqh?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeooohvvoommu. What is prob of picking 1 v, 1 h, and 1 u?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.241 - -1.571. Which is the closest to -1? (a) 1 (b) l (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**3 - 17*t**2 + 5. Let k be s(17). Suppose k*n = n + 8. Is n\/(-4) - 1679\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 6*b - 34. Suppose -77 = -12*i + 55. Let g be x(i). Solve -2*p + g = -4*l - 6*p, 5*l = -3*p - 32 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -y**2 + 444*y. Let u(p) = -3*p**2 + 669*p. Let k(d) = 5*u(d) - 8*x(d). Suppose k(s) = 0. Calculate s.\nAnswer: -207\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4815, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u - 4*q + 15 = -3*q, -3*u = 3*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -10.8 - -10.6. Which is the second smallest value? (a) y (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 2*f. Let r(v) = 2*v**2. Let i be r(1). Suppose 4*b + z + z = 2, -i*b - 2*z = 2. Let x(d) = -d + 3*d**b + d. Calculate n(x(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 743281387?\nAnswer: 19, 181, 216133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of w**5 - 58*w**4 + 3*w**3 - 103*w + 11 wrt w.\nAnswer: 20*w**3 - 696*w**2 + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 30*m - 2. Let k be j(2). Suppose 3*r - 8 = k. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1, -88\/291, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1\/21 (b) 1\/2 (c) 19\/8 (d) 2\/3 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 90476 - 90476.0041319. Round u to four decimal places.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -494 and -493 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 + -5. What is the units digit of 7 + v + (-6)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 73750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -10*k**4 - 56*k**3 + 261526 wrt k.\nAnswer: -40*k**3 - 168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 71060286.\nAnswer: 2, 3, 11, 1076671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-249)\/(-166) + (25\/2 - -1). What is the greatest common factor of 195 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2 - 4)*(-1)\/(-6) - 1199. What is the remainder when k\/(-21) + 6\/(-42) is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (12 - -1 - 2) + (36 - (238 - 107))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2637.11 + -2810. Let w = x + 178. Let o = w - 4.1. What is o rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10379249, -10379248, -10379247, -10379246?\nAnswer: -10379245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor x**3\/4 + 20901*x**2\/2 + 436851801*x\/4.\nAnswer: x*(x + 20901)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -454 = -k + 47. Suppose 2137*i = 2150*i - 78. Suppose i*p - 87 - k = 0. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 40 = 0, 2*d + 93230 - 1612286 = -4*m. What is m rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -17663692+-0.1\nAnswer: -17663692.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -38752.8899 to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -96, -102, -110, -120, -132, -146?\n\"Answer: -i**2 - 3*i - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*r = -103*r + 96 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 91295 is divided by 900?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -5*d**2 + 2*d - 5. Let x(u) = u**2 + 1. Let g be (-105)\/6*(3 - 5). Let s = g + -32. Suppose 0 = -4*i + 5*i - 1. Determine i*w(o) + s*x(o).\nAnswer: -2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -6186570 rounded to the nearest one thousand?\nAnswer: -6187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 65 - 28. Suppose -9 = -r + z. Calculate the common denominator of r and 1 + 13\/(-11) + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -7.85815*0.04\nAnswer: -0.314326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1262165.\nAnswer: 5, 17, 31, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 474761.8 decades?\nAnswer: 47476.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -225 - -518. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 442560?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from acccccccacaaaacccc. What is prob of picking 1 a and 3 c?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 66, -2, 1, 73, 3652.\nAnswer: -2, 1, 66, 73, 3652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/3 - 1035\/135.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.0035946458 and 0.08.\nAnswer: 0.0835946458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 259 and 1277647?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 6296 at least 18884\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3*2*((-16)\/3)\/8. Which is the third biggest value? (a) -0.02 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 466 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) -142 (b) -2 (c) -1\/4 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 492593*t**3 - 246318*t**3 - 246324*t**3.\nAnswer: -49*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -s**2 - s - 2. Let q(v) = 7*v**2 + 9*v - 21. Determine -18*l(f) - 2*q(f).\nAnswer: 4*f**2 + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -37.0546 and -3?\nAnswer: 34.0546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 - -2.03. Let r = -5.03 + d. Let o = -1772\/5 - -354. Which is the biggest value? (a) r (b) o (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1897, -1904, -1915, -1930?\nAnswer: -1949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 19053478271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -350717*i**2 + 350723*i**2 + 3092330 - 3092330.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z**3 - 2719700*z**2 - 16318065*z - 24477030 = 0. Calculate z.\nAnswer: -543934, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 12, 1, -12, -27, -44?\n\"Answer: -j**2 - 8*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-7)\/(-6)*81\/(-252)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 2*x = 3329, -1368 = 4*h + x + 1290. Let o = h + 1725. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1312*a - 654*a - 648*a - 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 10472010791\/235 + -44561836. Let h = 308\/47 + q. Let j = h - -81. Put -3, j, 0.3 in ascending order.\nAnswer: -3, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve d - 8 = -i - 0, -3*i + d + 4 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-688 + 676 - 3*o - o)*(-4 + 6 + 1).\nAnswer: -12*o - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.08 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2040 - -24240?\nAnswer: 26280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dt when two letters picked without replacement from {t: 7, d: 7, z: 2}?\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3 + -100310?\nAnswer: -100313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.05 - 2.95. Let w = z + 3.0000004. What is w rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 339 and 1293?\nAnswer: 146109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 43\/4 - 185\/8. Which is greater: y or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 25 = 1. Let r be (4\/o)\/((-1)\/3). Let y(s) = 2*s**2 + s - 2. What is the units digit of y(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -15*s + 17. Let b be g(-5). Let z be 4\/(-3)*(-483)\/b. Solve 2*f = -3*t - 1, f + 4 = 2*t - z*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -28, -1, 3, 5, -0.3 in descending order.\nAnswer: 5, 3, -0.3, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k. Let h(d) = d - 43217. Calculate h(i(t)).\nAnswer: -t - 43217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 35322 + -33047. What is the highest common divisor of b and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**3 - u**2 + 1. Let h be r(0). Suppose l + h = 0, 3*l = -7*k + 2*k - 3. Suppose 4*w + 5*o - 716 = k, -431 = -2*w - 5*o - 73. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 222, 0 in descending order.\nAnswer: 222, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*y**2 + 18*y**2 + 117 + 155 + 20 - 11*y**2.\nAnswer: 3*y**2 + 292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*h - 14 = 80 - 10 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30615110 is divided by 11894?\nAnswer: 11848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 - -1) + (2 - (-4 + 8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 5*x, 9 = 3*m + 4*x - 49. Let y(w) = w**3 - 14*w**2 + w - 10. Let o be y(m). Solve -35 = -o*v - 5*g, -v = -2*g - 2*g + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + z - 1733 = -16406, -8797 = -3*i + 4*z. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3\/4*p**2 + 51\/2*p - 54 = 0. What is p?\nAnswer: -36, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -5*d**3 - 24*d**2 - d + 11. Let g(m) = -m**3 - 6*m**2 + 3. Let v(p) = 9*g(p) - 2*n(p). Let k(j) = j**3 - j**2 + 5. Let c be k(0). What is v(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 14 - 11.84. Let y = c - 4.16. What is the closest to y in -2, -4, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 1228 = -1239. Let x(w) be the second derivative of 0*w**2 + 0*w**3 - 13\/12*w**4 + 23\/20*w**5 - v*w + 0. Find the third derivative of x(o) wrt o.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(117)*-3 - (4 + sqrt(832) + sqrt(832) + 3 - sqrt(832))) + -1)**2.\nAnswer: -304*sqrt(13) + 4757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*y = -564 - 220. What is the highest common divisor of y and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.3 - 0.2904. Round m to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = 6*g - 12120. Let v(x) = -3449*x**2 - 6*x + 6. Let t be v(1). Let b = t + g. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -158*n**4 + 476*n**3 - 480*n**2 + 164*n - 2 = 0 for n.\nAnswer: 1\/79, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 62066116 a multiple of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -77*t**2 + 1720*t + 3748.\nAnswer: -(t + 2)*(77*t - 1874)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*y + 24 = 4*d - 15*y, -4*y + 30 = 5*d. Let n(z) be the first derivative of 33\/2*z**2 + 5 + d*z + 21*z**3 + 3*z**5 + 51\/4*z**4. Factor n(b).\nAnswer: 3*(b + 1)**3*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 68977800 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*g - 3*y, -4*y = 5*g - 2*y - 8. Solve -g*u - 3*u = 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7 - -15. Suppose -2*m - 4*a = 4, a - 3*a - 2 = 0. Suppose m*b + 40 = 2*b. Calculate the highest common divisor of j and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 11 = 31. Suppose 0 = -i + o*s + 31, -1 - 3 = i + 2*s. Suppose f - 4*z + i = 0, 6*z + 9 = 3*f + 3*z. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -5 (b) -3\/4 (c) 1\/5 (d) 3\/2 (e) 102 (f) 5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (180\/(-20))\/((-1)\/((-4)\/6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 5*n**2 - 3*n + 1. Let k be z(2). Solve 3*p = 6*p - k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + 10 + (-8 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 2*g**2 + 16*g - 26. Suppose 5*d = 61 + 19. Suppose d = 6*p + 94. Let h be j(p). What is the greatest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - q = 32. Let l be (-2)\/30 - 4\/q. Let x = 1\/15 + l. Sort x, -5, -3 in decreasing order.\nAnswer: x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 586 + -728?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = d**2 - 5*d + 5. Let c be t(2). Let r be (3 + -1)*c\/(-2). Solve -2*j - r + 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18203.\nAnswer: 109, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -81*z + 3*n + 1 = -85*z, -3*n - 5 = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 57537058*g**6 + 12839*g**2 + g + 70 wrt g?\nAnswer: 6904446960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -7 + (-2 - 0) + -4 + 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -67 + 66.46. Let k = 0.539984 + v. Round k to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 0 - 1a3?\nAnswer: -1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -4*t + 4*j + 5, -2*t - 5 = -3*j. Let n(c) = -c**3 + c**2 + c + 2. Let k be n(0). Let a = t - k. Solve -z = a*p + 18, 6*z - z = -4*p - 35 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 38116.\nAnswer: 2, 13, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 1 - 3)*(11*v**2 - 4*v**2 - 6*v**2)*(v + v + v) to s*v + x*v**3 + i + r*v**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q + 9. Let n be s(9). Suppose n = -d + 2*a - 1, -4 = -a - 2. Suppose d*i + i = 116. What is the remainder when i is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*i + 115 = 935 - 344 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 36*y**3 + 5*y + 3. Let u(n) = 71*n**3 + 9*n + 5. Determine 5*k(a) - 3*u(a).\nAnswer: -33*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 0 + 2)*(-r**2 + 3*r**2 - 3*r**2 + (0 + 1 + 1)*(r**2 + 3*r**2 - 5*r**2) - r**2 + 5*r**2 + r**2 + 2*r**2 - 2*r**2 - 3*r**2).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y**3 - 11*y**2 + 15*y + 172. Let j be i(-11). Solve j*k + 329 - 343 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x = n + 6, 12 = 5*n - 749*x + 750*x. Suppose -r + 11 = -0. What is the highest common factor of n and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-1 + 0)\/(24\/72))\/(-1). Is u bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*l**2 - 3*l**2 + 0*l**2 + (1 + 2*l - 1)*(-3*l + 6*l - 2*l))*(-3 - 1 + 2 + 5 - 1 - 2 + (1 - 4 + 2)*(2 - 3 + 0) - 2 - 2 + 2 - 3 + 4 + 1 - 4 + 5 + 1).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3293.999997983 + -3294. Round i to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -42 - -45. Is (-4803)\/9*p\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 38720 divided by -5.\nAnswer: -7744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x be 17 - (3 + 2 - 3). Suppose 0 = -i + 3*a + 15, -3*a = 4*i - 0*a + x. Suppose -3*j + j + 2*l - 6 = 0, 4*j = l. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 166411008.\nAnswer: 2, 3, 72227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 2*q**2 - q + 2. Suppose 0 = -2*z + 4*z. Let g(j) = j**2 + 0*j + 1 + z*j**2 + 0*j. Give -g(a) + p(a).\nAnswer: a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 54745857 to the nearest integer?\nAnswer: 7399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 3*c**3 - 5*c**2 - 6*c. Suppose 0 = 17*g - 11*g - 600. Let n = 94 - g. Let k(b) = -4*b**3 + 6*b**2 + 7*b. What is n*a(j) - 5*k(j)?\nAnswer: 2*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -70 - -129. Suppose 2*w - o = -191. Let i = w - -101\/2. Calculate the common denominator of i and 44\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -133*h**3 + 311*h**2 - 12*h - 10718653 wrt h.\nAnswer: -399*h**2 + 622*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -12 - -22. Suppose 0 = y*h - 128 - 2. Calculate the greatest common divisor of 65 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p = -r - 3, 0 = 5*p + r + 91 - 85 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (8 - 3 + 3)*(6*f + 3*f + 0*f)*(2 - 5 + 4) as g*f + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.5? (a) -27 (b) 2070 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 17*n + 0 - 13*n - 1.\nAnswer: -30*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 14425*d**2*n*o - 6*d**2*o**2 + 7*d**2*o - d*n*o**2 - d - 87*o with respect to n.\nAnswer: 14425*d**2*o - d*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -14007044, -14007053, -14007064, -14007077, -14007092, -14007109?\nAnswer: -14007128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the first derivative of s**4\/12 - 3*s**2\/2 - 2. Let j(m) be the second derivative of d(m). Let y be 1 - (-2 + 4) - 2. Give j(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:11 AM and 12:30 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/28 - (-2 - (-178)\/70). Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 7? (a) 2\/3 (b) -84 (c) 3 (d) -0.5 (e) 0.0011\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(40)\/(sqrt(40)\/sqrt(4)))\/(-2*sqrt(50)).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 2, v: 1, c: 1}. Give prob of picking 2 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.0593 from -110326179321.\nAnswer: -110326179321.0593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 1)*(-2*m - 6*m - 2*m) - m - 2*m + 5*m + (-m + 6*m - 3*m)*(3 - 3 + 2) - 4*m + 5*m - 2*m + 0*m + 5*m - 2*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 43 + (5 - (-16 + 40)) + 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 719665937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*j, 7*v - 3*v - 3*j = 21. Calculate the remainder when 45 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -36, 5, 3.3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tkj when three letters picked without replacement from jktjkkkkkkkkt.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the first derivative of b**4 - b**2 + b - 2. Let m be u(1). Let v(h) = 2*h + 3 - m. Let d(p) = 4*p**2. Calculate v(d(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -70, -104, -160, -238?\n\"Answer: -11*o**2 - o - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(-6))\/(a*a**(1\/2)*a)*a**(1\/16)*a**(1\/5) assuming a is positive.\nAnswer: a**(-579\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 50, 0, 3?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2.1 + -2. Suppose 5*u = -2*i + 4, -3*i = 6*u - 3*u + 3. Let a be 0\/(i\/(-1) - 1). What is the third smallest value in d, a, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5491126659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the third derivative of k**6\/60 + 41*k**5\/30 - 85*k**4\/12 + 43*k**3\/3 + k**2 + 148. Factor o(y).\nAnswer: 2*(y - 1)**2*(y + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -142914276*c + 142914276*c + 131*c**2.\nAnswer: 131*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-36)\/27*(0 + 6). List the prime factors of (277\/(-4))\/(2\/u).\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -2*s**2 + 138*s - 425. Determine o(66).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**3 + 11*k**2 + k + 13. Let q be w(-11). Suppose -3*t = -0*t. Suppose t = i - 2*i - 5, 3*i + 5 = -q*p. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:08 AM and 4:19 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-131)\/(-393)*(-78)\/(-2). Let r be (-6)\/3*(-18)\/12. Solve -h - r*h + l = y, y + 5 = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -s**4 - 24*s**3 - s**2 + 3*s**4 + 2*s**4 + 28*s**3 to f*s**2 + k*s + g*s**3 + o*s**4 + h and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 75 divide 105450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the first derivative of 0*z**4 + 0*z + 2\/15*z**5 + 37 - 8\/3*z**3 + 16\/3*z**2. Let q(t) = 0. Calculate t.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1529 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -2, 4, -9, -5, 2 in descending order.\nAnswer: 4, 2, 0, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply -19 and 218508.47.\nAnswer: -4151660.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4410844 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(1792)*2 - sqrt(1792))*5)\/(sqrt(40)\/(sqrt(810)*2)*-1).\nAnswer: 2160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 31d4d (base 16) to base 4\nAnswer: 301311031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (23 - 16) + 2 + -3. Let v(d) = -8*d**3 + 3*d**2 + 3. Let j(a) = 184*a**3 - 68*a**2 - 68. Calculate u*j(y) + 136*v(y).\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 73*w + 2224 = -1791 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 264 divided by 2.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 118*b. Let i(c) = c. What is i(n(y))?\nAnswer: 118*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -18, -114, -280, -522, -846, -1258?\n\"Answer: -s**3 - 29*s**2 - 2*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*q + q + 6*q)*(14 + 17 - 40).\nAnswer: -63*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -d**3 + 8*d**2 + 10*d - 6. Suppose -24*y + 288 = 72. Let q be z(y). Let f be (-2)\/5 - (-224)\/385. Which is the nearest to f? (a) -4 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:31 AM and 5:38 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that 2*h**5 - 28*h**4 + 108*h**3 - 176*h**2 + 130*h - 36 = 0.\nAnswer: 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the second derivative of c**4\/12 - 7*c**3\/6 + 3*c**2\/2 + 6*c. Let k be f(7). Solve -1 - k = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2978451 is divided by 2693.\nAnswer: 2686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/v**(1\/5))**(-43)\/((v*v**(-2\/9))\/v)**(-10) assuming v is positive.\nAnswer: v**(-1648\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -76565, -76489, -76391, -76265, -76105, -75905, -75659?\n\"Answer: y**3 + 5*y**2 + 54*y - 76625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -4be4bc (base 15) to base 9.\nAnswer: -6761756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the first derivative of -s**3\/3 - 7*s**2\/2 - 3*s - 2. Suppose 2*a + 12 = 2*h, -4*a = a + 4*h + 30. Calculate r(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -102*d**3 + 35*d**3 + 69*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4.6 + -5. Let z = o + -0.1. Which is the closest to -1? (a) 1\/9 (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 0 = 8. Solve -y + i = 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -528840 by -13560.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -101 (base 2) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -27138 - -27125. What is the smallest value in x, 1\/5, 0, -1.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1525586 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -2*j + x, 0 = -j - 2*x - 3*x + 25. Let p = 2.06 + -0.06. Which is the closest to 0? (a) 0.5 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/2441 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 3, f: 1, o: 6, u: 3}. What is prob of picking 1 z and 1 u?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 5, j: 3, k: 2, i: 1, y: 8}. What is prob of picking 1 i and 1 k?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -3654 divided by -18?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -24978 divided by -50179\nAnswer: 24978\/50179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 20570 and 4914360?\nAnswer: 54057960","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -3*z - 6. Let f be u(-8). Suppose -w - 4*y + 2 = f, 2*w + 16 = -4*y. Suppose w = -x + 5 + 1. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4962166*v**2 - 11610951?\nAnswer: -9924332*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Let c be ((-3540)\/(-180))\/((-2)\/(-6)). Let w(p) = -4*p + 412. What are the prime factors of w(c)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-5 - -4)*-5*2 + -2. Let k be (14 - 644\/42)\/(q\/(-42)). Suppose -5*r + 2*f + 11 = 0, -2*r = 2*r - 2*f - 10. Solve 4*c - k = r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, 0, -0.081, 1\/46, 431?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*m - 5*m + m + m + 4*m - 4*m + 0 - m + 0 + (-2 - m + 2)*(1 + 1 + 0) - 2*m - 4*m + 3*m + 4*m - m - 3 - m)*(0 + 0 + 2).\nAnswer: -10*m - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -22480*v**4 + 274920 wrt v?\nAnswer: -89920*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4\/2 - (-21)\/(-14). Let j = 0.302 - -0.068. Let l = -0.07 + j. Sort r, l, 5.\nAnswer: l, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iitmlbttzzztztt. Give prob of picking 1 t and 1 z.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 4 = 19. Let o = -17 - -23. What is the units digit of ((-16)\/o)\/(2\/t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5240572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-19 + 23 - 58 + b)*(-b + b + b**3) to the form d*b + n*b**3 + t*b**4 + i + v*b**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -519 + 522. Suppose 4634 = 4*z + 2*h, -346 + 3789 = r*z - 5*h. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10 + -8. Suppose 0 = -3*a + d*a + 22. Suppose 2*w + 5*z - a = -2*w, z = -2. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 19 and 18449.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**2 - 10*m - 5. Let k be l(-10). Let g(u) = -u. What is g(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the first derivative of 158*q**3\/3 - 447*q - 213. Differentiate z(o) with respect to o.\nAnswer: 316*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8667*p - 8669*p + 1 - 2 + 1.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -372c (base 15) to base 8.\nAnswer: -26736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 4 = 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 693 + -9005\/13. Suppose 0 = -2*n - 9 - 1. Sort 1, v, n, 0.5 in increasing order.\nAnswer: n, v, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is v in -5*v**2 + 1260*v + 33120 = 0?\nAnswer: -24, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1864 - 3*i + 7*i - 2*i + 1867.\nAnswer: 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**3 + 6*x**2 + 7*x - 7. Calculate t(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.044*38505.\nAnswer: -1694.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 127 + -108. Suppose 31*u - 48 = w*u. Sort -1, u, 17.\nAnswer: -1, u, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*x - x - 17*x - 4*x + 4*x + 6*x + x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -2+-68279405679\nAnswer: -68279405681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/i**(1\/2))**(-8))**(1\/14) assuming i is positive.\nAnswer: i**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 3*o = 4*z - 306, 3*z - 3*o - 237 = 0. Let l = z - 30. Suppose 57 = 4*t - l. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.23 - 0.2. Let g = 0.97 + v. Which is greater: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 12*i + 7. What is u(-8)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -97 - 376a60?\nAnswer: -377047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25486.\nAnswer: 2, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 2*y - 2*u - 3, y - 2 = 4*u. Suppose 3*t = 4*t - y*v - 12, v + 21 = 2*t. Calculate the smallest common multiple of 6 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqfqqqqf. What is prob of sequence ffq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find q such that -4*q**4 - 792*q**3 + 1140780*q**2 + 11465200*q + 28710000 = 0.\nAnswer: -638, -5, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -117, 3, 19 in ascending order.\nAnswer: -117, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 74 a factor of 309616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 507 - 393. What is the tens digit of (-55)\/2*(-21)\/105*m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.004921739 to five decimal places.\nAnswer: -0.00492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -11.2576658 to 2 dps.\nAnswer: -11.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 2, h: 4, i: 4, s: 2}. What is prob of sequence uih?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 43 (base 6) to base 14.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2 - -2. Let p(s) = 62 - 73*s - 74*s + 148*s. What is the units digit of p(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2190305*w**3 + 75*w + 11977 wrt w.\nAnswer: 13141830*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 237.91158 nanoseconds to minutes.\nAnswer: 0.000000003965193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 39, 2.93, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 25899 and 32953131.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 47 = -2*z + 33, -u + 36 = -z. Calculate the highest common divisor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 62\/(-4) + (-1)\/4*-2. Let q be ((-10)\/h)\/((8\/(-36))\/(-1)). Solve 0 = -3*w, q*w - 2 - 10 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = 4*l + 2*p, 9*l = 5*l + 4*p - 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 94\/615 and -59\/1106607.\nAnswer: 226854435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**2 + 4*b - 6. Let t be o(-6). Let g be (-1 + -2)\/(14 + -17). Sort g, 5, t in ascending order.\nAnswer: g, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -s - 4*z + 17, -29 + 8 = -s - 5*z. What is the common denominator of -6 - (-935)\/1166 - (-6 + s) and 35\/16?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**3 - 15*x**2 + 3*x - 11. Let h be r(-12). Let n = 495 + h. Solve 2*q = -2*q - n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 476\/391*(44\/(-28))\/(-11).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10633*g**3 - 29527*g**3 - 7926*g**3.\nAnswer: -26820*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:13 PM and 2:36 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 614 and 7096612.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 23 + -20. Suppose 5 = t + c, 0*c + 15 = b*t - 2*c. Let u be 1 - t - (-8 + -1). Solve 3 = 2*x - u*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*n**3 - 6*n**2 - 24*n - 8 = 0 for n.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -365227\/8444 + 6\/2111. Does r = -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24)\/(-40) + (-4)\/15.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**(-19))\/q**(5\/3)*(q*q*q**(-17)*q*q)\/(q*(q**(5\/6)\/q)\/q*q) assuming q is positive.\nAnswer: q**(-67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = -9 - -10. Let c be 2\/(-11) - 0 - 624\/(-3190). Which is smaller: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/120 and 89\/564?\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:11 AM and 11:20 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -15*i + 8. Let y(w) = -19*w**2 + w - 1. Let a be y(1). Is d(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -80562\/13 + 161189\/26. Determine u, given that -1\/2*u**2 + 0 + j*u = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 18 = -i, 6*g - 7*g = -2*i + 14. Put i, 3, -5 in decreasing order.\nAnswer: i, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1443038 - 488991.\nAnswer: 954047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 2 m when three letters picked without replacement from {m: 5, i: 14}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 3*j + 240 = 0. Let x be ((-2)\/(-6))\/(10\/j). Sort x, -3, 2 in increasing order.\nAnswer: -3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 17*g**2 - 18*g - 4. What is f(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jivkjvvvkvvvv. What is prob of picking 1 k and 1 i?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 74389*d**2 - 16655*d - 74388*d**2 + 2401*d as p*d + g*d**2 + j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 148 = 3*h + o, 2*o - 29975 = -h - 29934 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (161*v - 314*v - 2 + 155*v)*(-152 - 293 + 11).\nAnswer: -868*v + 868","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 - 440970?\nAnswer: -440970.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 2, d: 1, l: 8, r: 5, b: 3}. What is prob of picking 1 b and 3 r?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 170*g - 1551 = 1498 + 1541 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (6 - 1) + (34 + -53 - -13)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1606 times -17?\nAnswer: -27302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*(sqrt(180)\/sqrt(5) + sqrt(36)) + sqrt(36))*-2)\/(3*sqrt(588)*1 + sqrt(588) - sqrt(588) - sqrt(588)).\nAnswer: -11*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ppslpssslcsspsssscs. What is prob of picking 1 p and 1 l?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 49*d**4 - 7364*d**3 + 71856*d**2 - 181440*d = 0.\nAnswer: 0, 36\/7, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 212222 (base 3) in base 6?\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (425\/(-51))\/(375\/(-1350))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 342076875 divided by 41875\nAnswer: 8169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 14751?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12105091?\nAnswer: 67, 79, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 6*z**2 + z + 1. Let k(i) = i + 12. Let f be k(-11). Let o(h) = -h - 1. Let l(n) = f*o(n) + w(n). Let g(y) = -y. What is l(g(q))?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = t**2 - 3*t + 3. Let o be d(3). Let a(b) = 3 - 2*b + b**2 + 0 + 0*b**o - 4*b**3. Let s(y) = -13*y**3 + 3*y**2 - 7*y + 10. What is 7*a(n) - 2*s(n)?\nAnswer: -2*n**3 + n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 8 = 0, 0 = 2*i + 3*z + z - 16. Suppose 4*n + 0*n - 4*a - 40 = i, 5*n = 2*a + 44. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a + 9 = -2*m - 3*m, a - 1 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*g + 9 = 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-10))\/((-2)\/5)*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - ((2 - 0) + (-6 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*n**5 + 21*n**3 - 2709*n**2 - 3*n - 38193.\nAnswer: -40*n**3 + 126*n - 5418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 5293 divided by 67\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(30) + sqrt(30) + sqrt(360)\/(sqrt(48)\/sqrt(4)) - sqrt(30)) + sqrt(30) + (2*sqrt(90))\/sqrt(3) + sqrt(30))\/(4*-1*sqrt(90) - sqrt(90)))**2.\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -2\/51?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2d8 (base 14) in base 8?\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1283, 5098, 11459, 20372, 31843, 45878, 62483, 81664?\nAnswer: 103427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4, 7, 30, 71, 136, 231, 362?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 491 minutes before 9:35 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 48 + -45. Let o(s) be the first derivative of -5 + 0*s + 0*s**w - 1\/2*s**2 - 2\/3*s**6 + 0*s**5 + 0*s**4. Find the second derivative of o(y) wrt y.\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 - 1143043021?\nAnswer: -1143043013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 0.07 - -11889\nAnswer: 11889.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 6 - 2. Suppose -4*i = -13 - 7. Suppose i*k = -t + 15, 3*t - r*k + 12 = -0. Solve t = 3*h - 2 + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1644 + -1589. Calculate the highest common factor of s and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1 - -0.6. Let l be (9\/15)\/(27\/6). What is the nearest to 1 in l, a, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 125539 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) be the second derivative of j**7\/126 - j**6\/90 - j**5\/60 + j**4\/36 + 9*j. Factor p(c).\nAnswer: c**2*(c - 1)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) be the third derivative of p**6\/720 - p**4\/4 - 4*p**2. Let w(x) be the second derivative of f(x). Let u(c) = -4*c + 3. Determine u(i) + 3*w(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -89*m + 8. Let q(h) = 22*h - 2. Let j be 3\/((-22)\/(528\/(-36))). Calculate j*z(d) + 9*q(d).\nAnswer: 20*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60\/(-9)*180\/(-24) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1 + -3)\/((-12)\/3840). Round p to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-26)\/(-14) + 4\/28 - (-946)\/43. Calculate the highest common divisor of 10572 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -20.5*-0.5\nAnswer: 10.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 1 + (1 + 3 - (4 - 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 3*t - 18. Determine p(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -42*f**4 + 9*f**2 - 453?\nAnswer: -168*f**3 + 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 223.95 + -231. Round p to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j**2\/5 + 492*j\/5 + 2552 = 0. Calculate j.\nAnswer: -22, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 378*k - 372*k + 36. Let t(o) be the first derivative of o**3\/3 + 5*o**2\/2 - o + 1. What is t(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*s + 4*s - 67*s**2 + 82*s**2.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1123 divided by 2680?\nAnswer: 1123\/2680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*v**3\/4 + 9*v**2\/4 + 69*v\/2 + 54.\nAnswer: -3*(v - 9)*(v + 2)*(v + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.05 - -5.05. Let c = 176 + -164.8. Let a = 10.7 - c. What is the smallest value in l, a, 5\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16 - (-19 - -32)) + -3 + 8 - -6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-7\/5)*z**(-3))\/(z*z**(-1\/3))**46*((z\/z**0)\/z)**(-1)*(z**0)**(-3\/25) assuming z is positive.\nAnswer: z**(-526\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40*b**3 - 51*b + 111*b - 60*b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 9111725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*s - 12*s + 29235. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 11371632*c**5 + 36506501*c wrt c.\nAnswer: 227432640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*a + 4027 = -348. Suppose -a = -4*r - 181. What is the greatest common divisor of 37 and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-4)*d\/(d\/(d\/(d*d**10*d))))**(-3\/22))**(1\/4) assuming d is positive.\nAnswer: d**(45\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -359 - -299. Let j be ((1 + -13)\/4)\/(c\/920). What is the second biggest value in j, -0.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0 - 0 - (-25 + -6). Let x = 36 - g. Suppose x*m = -2*f - 13, -7 = 2*f + 2*m - 3. Is f != 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iiib when four letters picked without replacement from iibiibi.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 18*p**3 - 10*p**2 + 38*p + 21. What is the hundreds digit of x(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 46 + -46.236. Let a = -0.164 + m. What is the nearest to 3\/7 in -5, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 52 + -198. Let g = s - -63. Let j = 82.99747 + g. What is j rounded to 4 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -9, -5, -17788, 3 in descending order.\nAnswer: 3, -5, -9, -17788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -5*j - 2, -5*j + 3*j - 17 = -5*n. What is the derivative of 7 + 1 + n*p - 6 wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {g: 6, w: 3, y: 1, c: 1, i: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 35339160 divided by -1\nAnswer: -35339160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -106*x + 11 = -102*x - 3*j, -8 = -2*x + 2*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -159, -172, -197, -228, -259, -284?\n\"Answer: f**3 - 12*f**2 + 16*f - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {h: 1, n: 1, k: 1, v: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -5870000 to the nearest 100000.\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r - 5*l - 109, -2*r + l - 14 = -67. Let v be 17\/r - (-44)\/(-286). Solve -p + v + 1\/2*p**2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-108)\/90*2*(-1)\/(-12).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 54216 divided by -6.\nAnswer: -9036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -21\/1315 and -101\/7890.\nAnswer: 7890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13\/(-3) + 3 + 18\/36?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8493 - 89255. Let l be x\/(-6132) - (-1)\/(-3). Let p = l - 2\/511. What is the common denominator of -77\/2 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 48 - 31. Suppose 4*w + 2*p - 30 = 0, -2*w - 15 = -4*p - 5. What is the remainder when u is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 47 * 2.1\nAnswer: 98.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5891 and 18696142.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20719?\nAnswer: 20719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*r - 17*r = -5*i - 20, -4*r - 11*i = -9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -498 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*z - 664 = -15*z. Calculate the highest common factor of z and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*w**2 + 3*w - 20*w + 83 - w + 20*w as p*w + u + l*w**2 and give u.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(-1\/4))**32\/(((w\/w**(5\/9))\/w*w)\/(w**11*w)) assuming w is positive.\nAnswer: w**(464\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1860 - -1460.9. Round z to the nearest ten.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {k: 9, j: 2}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 - -30. Suppose -3*f = -33 - h. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**2 + 6*m - 7. Let x be f(6). Let r = -474 + 484. Suppose -7*a = -3 + r. What is the second biggest value in a, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -3b (base 15) to base 2\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 23*l**2 - 47*l**2 - 27*l**2 + (-2 + 3 - 2)*(-2*l**2 - 2*l**2 + 6*l**2) + 6*l**2 + 10*l**2 - 12*l**2 as h*l + u + r*l**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**2 - 5*a. Let c be p(-5). Let r be (-70)\/(-28)*(-4)\/(-5). Sort r, 4, c in ascending order.\nAnswer: c, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 450.4266 centimeters to meters.\nAnswer: 4.504266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 114*n - 4031. Determine p(36).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-1)\/(-3) - -1)*108\/72. Suppose 3*o - 5 = m, w*o + 6 = 10. Calculate the highest common factor of 5 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -v - 2*r - 2 = v, -37 = -3*v + 5*r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/94 and 47\/2?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12337350, 12337352, 12337354, 12337356?\nAnswer: 12337358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -3*w + 2. Let x(v) = v**2 + 3*v - 4. Let p be x(-3). Let t(h) = -2*h + 1. Let m = -72 + 23. Let u = m - -52. What is p*t(n) + u*j(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45*z**2 + 36*z**2 - 18 - 77*z**2 + 3.\nAnswer: 4*z**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 85\/578 + (-676)\/6851.\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/(-5)*(-532)\/228.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 16813798 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 76 and 1296.\nAnswer: 24624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve q + 9 = -5*c + 3*q, 13*c = -5*q - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*o**2 - o**2 + 4*o**2)*(-43*o - 165 + 165) - 2*o**2 + 2*o**2 + 2*o**3.\nAnswer: -428*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -7 + 4. Suppose 20*f = -23*f - 90*f - 133. Which is the second biggest value? (a) -1\/3 (b) 0.3 (c) f (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 2, 1\/10, 0.3, -1126, -981, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-134)\/(-402) - (-19)\/(-39). Let x be -2 + (-1)\/(2\/(-2)). What is the nearest to x in 3\/7, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 192119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 19220394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 200106*o**2 - 67*o - 60*o**3 + 69*o - 200106*o**2.\nAnswer: -60*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 2*x = -9398, -3*k + 5642 = -16*x + 14*x. Is k a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -g**2 - 15*g + 45. Determine o(-15).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -3*k**2 - 3*k + 4. Let v be g(3). Let d = v + 320. Suppose -i = 2*x - 57, -i - d = -5*i + 4*x. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find d such that -d**2\/2 + 10350805*d - 107139164148025\/2 = 0.\nAnswer: 10350805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.06 - 2.94. Let x be -2*(292\/48 + -6). Put h, x, -1 in increasing order.\nAnswer: h, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 13347069 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -167*s**4 - 17*s**3 - 73118 wrt s?\nAnswer: -668*s**3 - 51*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c**3\/4 + 35275*c**2\/4 - 77765942*c - 77774761 = 0. Calculate c.\nAnswer: -1, 17638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 3029 - 56966\nAnswer: -53937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(75) + (sqrt(75) + sqrt(75) + -1)*-3.\nAnswer: -25*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.03 - -0.17. Let r = 9.86 + -10. Let b = -4.14 - r. What is the second smallest value in i, b, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*m = 38 + 2. Sort -13, -2, -1, m in increasing order.\nAnswer: -13, -2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -1, 3, 4, -64234, 0 in decreasing order.\nAnswer: 4, 3, 0, -1, -5, -64234","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 - -213334?\nAnswer: 213332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4963 and 94241698?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.1, 1, -1\/3, -282?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -r**2 - 5*r - 1. Let y = 15 + -23. Let c(f) = f + 10. Let x be c(y). Suppose 10 = -2*b - x. Determine q(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (65 - 86) + -13 + 3 - 30.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.94 - 2.04. Let l = -0.1 - 0.2. Which is the second biggest value? (a) -0.4 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6777\/13 + -521. Put 3, y, -3 in descending order.\nAnswer: 3, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1068 and 2148.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2.7? (a) 6848 (b) -0.1 (c) 9.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 685754*x**4 - 3*x - 5143976?\nAnswer: 2743016*x**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**3 - 41*l**2 - 128*l - 180. Calculate b(44).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25788 - ((1 - 11) + 10)*(-1)\/(-2).\nAnswer: 2, 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*s**2 - 4*s**2 + 7*s - 7*s as z*s + v*s**2 + y and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 13 = 4*j + 17, -3*u = j - 1. Let s = -0.043 - -3.043. Which is bigger: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -12 less than or equal to 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = -3*l + 27, p - 6 = -3*l - p. Suppose -8*q - 3 = -5*q. Suppose -3*z + 103 = 103. Sort q, z, l.\nAnswer: q, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 8875181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 67881 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wtwwttww. What is prob of picking 2 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 80 - 101. Let f(l) = -l**3 - 20*l**2 + 29*l + 2. Let u be f(a). Let i = u + 398. What are the prime factors of i?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 - -4) + 10 + 0. Suppose 4*v + 2 = -r. Let b(u) = u**2 + 4*u. Let m be b(v). Solve 5*l - 2*d + 0*d = 1, 2*d - 4 = m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21 + -28 + 19 - 10 - (21 + 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 2*a. Let z = 7 - 12. Let j = z - -7. Let y(n) = 0*n**j - 4*n - 3*n**2 + 4*n. Determine y(q(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 4*j**3 - j**2 + 109*j + 3. Let p(h) = -5*h**3 + h**2 - 109*h - 4. Determine 4*g(u) + 3*p(u).\nAnswer: u**3 - u**2 + 109*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*x - 187 + 200. What is the common denominator of 110*((x - -2) + (-1552)\/1536) and 1\/3 + 249\/18?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 18*(1 - (-2)\/(-1)). Let k = 17 + w. Let c(x) = -2*x**2 - 2*x + 1. Let z be c(-2). Sort 0, k, z in descending order.\nAnswer: 0, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 33363 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*v + 5*v - 4*v + (0*v + 0*v - v)*(2 - 5 + 1))*(-v - v - v)*(20*v - 10*v - 5*v).\nAnswer: -45*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor s**2 + 7*s\/6 + 1\/6.\nAnswer: (s + 1)*(6*s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-16)\/10 - 1562\/355. Let o(f) = 2*f**2 + 12*f - 4. Calculate o(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.6703 - -0.0703. Let i = -0.5 - g. What is the fourth smallest value in 7\/6, i, 1\/2, -5?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*j = 30*j - 15. Suppose -10 - 5 = -3*s. Sort 0, j, s in descending order.\nAnswer: s, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 94 - 106.5. Let q = x - -12.5000142. What is q rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 3*v**3 - 4*v**2 + 2*v + 4. Let m(t) = -6*t**3 + 7*t**2 - 4*t - 7. Suppose 35 = 6*i - i. Give i*a(c) + 4*m(c).\nAnswer: -3*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -89 - -82. Let i(a) = 11*a + 9. Let q(k) be the third derivative of 2*k**4\/3 + 13*k**3\/6 + 19*k**2. Calculate n*i(m) + 5*q(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7 + -64\/9. Let q = -32275 - -677773\/21. Sort q, -5, c, 3 in increasing order.\nAnswer: -5, c, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2936.37 - 89.63. Let b = w - 2843.24058. Let t = 3.5 - b. What is t rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6*a - 2*a**2 + 19*a**5 + a - 7*a wrt a.\nAnswer: 1140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -6, -5, -17290, 1, 4 in descending order.\nAnswer: 4, 1, 0, -5, -6, -17290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10825531.\nAnswer: 10825531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence szsz when four letters picked without replacement from {z: 6, s: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 25*y**2 - 2*y - 28*y**2 + 0 + 6*y + 3. Suppose c - 55 = 6*c. Let l(g) = 9*g**2 - 11*g - 9. Let n(w) = c*i(w) - 4*l(w). Factor n(a).\nAnswer: -3*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11074*x + 10939*x - 22164*x to the form u*x + n and give u.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33240820.\nAnswer: 2, 5, 1662041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -13*m - 139. Let n be o(-11). Let v(z) be the third derivative of -z**3 + 0*z**5 - 11\/120*z**6 + 0*z**n + 8*z**2 + 0 + 0*z. Differentiate v(p) wrt p.\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 81612.62 micrometers in nanometers?\nAnswer: 81612620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 293.7 + -293. Sort -2\/3, 3\/2, u in ascending order.\nAnswer: -2\/3, u, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 16367728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -9354*c**3 + 6*c + 2158?\nAnswer: -56124*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the third derivative of s**8\/6720 + s**7\/420 - s**6\/180 - s**5\/24 + s**4\/12 + 2*s**2. Let u(m) be the second derivative of q(m). Is u(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -29 + 49. Suppose 0 = -5*k - f, -4*k + 439996 = 4*q - 3*k. Round q to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23693776 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*f - i, 4*f - 5*i = -2*i. Suppose -20 - 39 = -5*s + 3*l, -5*l = -s + f. Calculate the remainder when 63 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6619*h**3*q**2 + 2*h**3 - h**2 - 2*h*q**2 + 47*h*q - q**2 + 57*q wrt q.\nAnswer: -13238*h**3 - 4*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9460412.\nAnswer: 2, 13, 181931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(-4)*32\/(-104).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 172*l - 6 + 20 + 20*l**2 + l**4 - 22*l**2 - 170*l as v*l**2 + m*l**4 + d*l**3 + c + h*l and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8894 + 3201 - 6*o + 5974 + 1098.\nAnswer: -6*o + 19167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1*((-2)\/(-4)*0 + -3). Let q = 14 - 15. Let n be q\/(-1) - (-1)\/4. Sort 9, n, y in descending order.\nAnswer: 9, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/6*(-1 - 5). Suppose 0 + 3 = -4*o - 3*w, -3*w = 15. What is the third derivative of 5*i**2 - o*i**2 + 0*i**2 + 3*i**4 + i**k wrt i?\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 4 + w)*(-2*w - 2*w + w)*(3*w + 2 - 2 + 0*w + 3*w - w + w - 6*w + w - w - w + 4*w + (-2*w + 3*w - 2*w)*(3 - 4 + 0)).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - (-48 + -2)) + (57 - 119 - -58) - 8?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -822383*m - 612863 wrt m?\nAnswer: -822383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 385455.2 weeks to nanoseconds.\nAnswer: 233123304960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 31859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 579784 and 5290.\nAnswer: 2898920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 130556 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 26 = 4*g + 106*t - 111*t - 27, -66 = -13*g - 5*t for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8244 is divided by 3852?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 23 + -19. Calculate the smallest common multiple of 18 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20 (base 3) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-8)*q**7)**(-6\/19)\/((q**0)**(-4\/3)\/(q**(-1\/3)\/q**(-7))) assuming q is positive.\nAnswer: q**(398\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7 or -96\/13?\nAnswer: -96\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than -1\/712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18100.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (-28)\/(-12) + (-34)\/(-42)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 185 minutes after 12:34 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 9*j + 11. Let x be o(-3). Let i(v) = -v**2 - 18*v - 23. Let l be i(x). Is (-855)\/(-4) + 2 - l\/(-36) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 16*l - 3 - 10*l**3 - 11*l**2 + 2 + l**2 + 9*l**3. Let c be i(-11). Let z be (-3)\/(-21) + (-104)\/c. Solve z*b = 4*b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 - (-6 - -6) - (-5 - (-2 + 2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8875 is divided by 1251?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 102890 to the nearest one thousand.\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -185 divided by -4?\nAnswer: 185\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**2 - 2*y - 5. Suppose -4*m - 4 = -24. Let h be g(m). List the prime factors of ((-3)\/2)\/((-1)\/h).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 216.85697 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = a - 5*y, 4*a - 128 = -y + 3*y. Suppose 3*b = -r - 35, 2*b + 2*r = 4*r - a. Let u = 127 - b. What are the prime factors of u?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -6*j**3 - 3*j**2 - 2*j - 8. Let l(x) = -7*x**3 - 3*x**2 - 2*x - 9. Let n(c) = -5*l(c) + 6*s(c). Let q be (16\/(-6) + 2)*3. Determine n(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 6485, 25912, 58291, 103622?\n\"Answer: 6476*j**2 - j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*l + 65757 = 66461. Solve -l = -4*c - 5*h, 4*c + 4*h + 66 = 86 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((t*t**(-3))\/t)**(2\/9)*((t\/((t\/(t**(-12)\/t*t))\/t))\/t)\/(t\/((t\/(t*t**(1\/3)))\/t)))**(-22))**(1\/26) assuming t is positive.\nAnswer: t**(165\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 26.91 - 50.88. Let x = -2.09 + n. Let v = x - -26. What is the second biggest value in -2, v, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 55951564 divided by -2\nAnswer: -27975782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/440 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 81 = 9*l. Suppose 2*p = 5*v + l, -v = 2*p - 0 - 3. Sort v, 3, -24 in ascending order.\nAnswer: -24, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.5*-25745\nAnswer: 12872.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (77\/35 - 3)*1*(-8)\/32.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4272*u**3 + 7179.\nAnswer: -12816*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from yyeyyyyeyee.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(816))\/(sqrt(3) - (sqrt(3) - sqrt(18)\/(2*sqrt(6)))).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -85*(-129)\/731*(11\/(-6) - 3\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 15) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) 2\/19 (b) 0.97 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 92317.26 millilitres?\nAnswer: 92.31726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -50*x**2 + 15*x - 2. Calculate r(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -21*b**2*q**3 + 14*b**2*q**2 - 2*b**2*q - 3*b*q**3 + b + q**3 + 9*q**2 wrt q.\nAnswer: -126*b**2 - 18*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 5 = -1. Let v be (-4)\/(-14) + 80\/14. Let t = v + m. Solve b - t*b - 8 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -95\/24 and 91\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4 + 4. Suppose x = -4 - s. Is x - -15 - (1 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 5*q + 18. Give j(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((q\/(q\/(q*(q\/(q*q*q\/(q\/q**6)*q))\/q)))\/q)\/q*q)\/q*q)\/(q*q**(-2\/11))*q**(-5)*q**(2\/7) assuming q is positive.\nAnswer: q**(-1119\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 5 (b) -2 (c) 0.4 (d) 311\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20\/15*1\/76)\/(-11*7\/924).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 952222429 to the nearest integer?\nAnswer: 30858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q\/(q*q**1))**(-45)\/(q**(2\/3))**(1\/15))\/(((q*((q*q*q*q\/q**(-2\/7)*q)\/q)\/q)\/q)**(1\/44))**15 assuming q is positive.\nAnswer: q**(-16141\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7 - -5. Let h be 8\/((-1)\/1*p). Let a(y) = -y**3 - 9*y**2 + y + 13. Let c be a(-9). Solve c = -u + g, 25 - h = -5*u + 4*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-6)*o**(-2\/3))**(2\/87) assuming o is positive.\nAnswer: o**(-40\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 1170740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be 5\/(-18) - (-4)\/(-18). Let d(i) = -i**2 + 1265*i - 8800. Let x be d(7). What is the biggest value in -1, c, x, 2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -66.97 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**3 - 74*f**2 - 145*f - 72.\nAnswer: -(f + 1)**2*(f + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -2*k + 2. Suppose 4*w + 3*j - 7*j = -12, -w = j + 5. Does 5 divide s(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.99 from 5.0618569.\nAnswer: 4.0718569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1222.4689142 - -4?\nAnswer: -1218.4689142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1276758 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 89776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve h + 0*w - 6 = -w, -4*w = -3*h - 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = f**2 - 15*f + 20. Let p be x(17). Let y = -52 + p. Solve -4*n = -y*a - 4 - 6, 0 = -a - 3*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o - 1. Let k(y) = -14*y + 27. Let c(h) = 5*h - 9. Let n(x) = -11*c(x) - 4*k(x). Calculate -n(u) + 2*v(u).\nAnswer: u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 387846140?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the second derivative of -r**4\/24 + r**3\/6 - r**2 + 2*r. Let m(a) be the first derivative of s(a). Let q be (-1 - (-1 - 0))\/2. What is m(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4962 (base 16) in base 10?\nAnswer: -18786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.2 - -0.2. Let k be 56\/90 - (-3)\/15. Let n = k + -3\/5. What is the closest to b in n, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 845 = -4*l + 840, -l - 4*b = -25. Solve l*q - 4*p = 129 - 147, 0 = -q + 4*p - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + j + 40 = 0, -b - 7*j = -2*j + 32. Let s = b - -5. What are the prime factors of 10 - 2*(-3 - s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1487 or -1488?\nAnswer: -1487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/4 and 103\/68870.\nAnswer: 137740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**(-5)*w)**(6\/13)\/((w\/(w*w\/(w\/((w*w**(-2\/11)\/w)\/w))))\/(w\/w**(-2\/5)*w)) assuming w is positive.\nAnswer: w**(-119\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -423413 + 4204?\nAnswer: -415205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -344769 = 3*n - 71628. Let r = n - -267047. Round r to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -19 + -60 + 68 - -24.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 1696919.55 + -0.5.\nAnswer: 1696919.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + -2*(sqrt(12)\/(2*sqrt(6) + sqrt(6) - sqrt(6)) + sqrt(2)*2 + sqrt(2) + 4 + 5) + -1)**2*4.\nAnswer: 1176*sqrt(2) + 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -17*u**4 - 8*u**4 + 25*u**4 - 35*u**5 + (-u**2 + 3*u**2 - 3*u**2)*(0*u**3 + u**3 + u**3).\nAnswer: -37*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5890 = 8*p + 23870. What is p rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 4*i = 3*v - 1916, -4*v - 5*i = -1541. Calculate the remainder when 33 is divided by 4\/14 - (v\/(-28) + -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000195071 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Total of 2 and 21464733.\nAnswer: 21464735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 6 = 2. Let x(j) be the third derivative of j**5\/60 - j**4\/24 + j**3\/6 + j**2. Let v(z) = 6*z. Let r(n) = q*x(n) + v(n). What is w in r(w) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 434 a factor of 104870892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1050 and 9?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -q**3*t**3 - 5*q**3*t**2 - 32328922*q**2*t**4 - 1075*q**2 - 5*q*t**2 - 2*t**2 - t wrt t?\nAnswer: -6*q**3 - 775894128*q**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 - 45 = -3*m - r, 0 = -3*m + 2*r + 93. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 6*u. Let j be ((-2)\/(-5))\/(4\/100). Let d(g) = 4 - g - 4 + 0*g + j. Let n be d(11). Determine o(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2988 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 3 = -22. What is the second derivative of 0 + q + 6*h - 5 - 5*h**5 wrt h?\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (176\/(-144))\/((-44)\/24)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17549919*a + 21*a**3 - 17549919*a.\nAnswer: 21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from {u: 3, d: 1, r: 6, y: 3, z: 4, c: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -1. Let l(b) = -5*b - 8. Let a(g) = 2*c(g) - l(g). Let u be a(-10). Let z = 45 + u. Solve -5*i - z = -6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 5, u: 5}. Give prob of sequence ppp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 58183 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve m + 18 = -w, 0 = 3*m - w + 27 - 29 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -37\/648333 and -20\/7502139?\nAnswer: 52514973","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Express (-2*a - 2 - 6 + 6 - 2*a**2)*(16*a - 3*a + 2*a) as o*a + f*a**2 + n + k*a**3 and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:54 AM and 4:50 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 66233 * -5.\nAnswer: -331165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (8\/120)\/(1\/(-6))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/5)\/(((-76820)\/3660 + 21)*(-9)\/6)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1666) - (sqrt(1666)*1 + sqrt(1666)))\/(sqrt(2) + 3*sqrt(2)*-3) + ((sqrt(187)*-1*-1)\/((sqrt(11) + sqrt(11) + sqrt(396))*-2))**2.\nAnswer: 17\/256 + 7*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3.76 + 0.16. Let k = b - -21.6. Let u = k - 17.9966. What is u rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -50, 1, -3, 5 in ascending order.\nAnswer: -50, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:05 AM and 10:43 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*w - 17*w + a = 27, 3*a = 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 9 and 78.88.\nAnswer: 709.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 253 minutes before 2:43 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) -3\/5 (c) -229526 (d) 30\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6*10\/(-24)*-4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve v - 4*k + 3275 - 3267 = 0, k - 1 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -13*q**2 - 16*q - 17. Let l be a(-1). Let s(c) = c**3 + 15*c**2 + 14*c - 6. Let r be s(l). Let i(f) = 2*f**2 + 7*f + 4. Give i(r).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1569*f**5 - 8*f**4 + 612*f**2 + 32 wrt f.\nAnswer: 94140*f**2 - 192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -156 + -141?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.256 from -239724.52.\nAnswer: -239724.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 165.43513 rounded to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(-1)*a**(-1\/6)*a*a*(a**(-3)\/a)**34 assuming a is positive.\nAnswer: a**(-811\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4 + 1 + -4 + 12\/6. Solve -4 = -n*g + 2*c + 3, -2*g - 5*c - 27 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 1672008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = 21 - 22. Let g be (-2371*(1 - 2))\/(c\/(-2)). Suppose -y + g = y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 96601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1224 + 30?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 79932 is divided by 571?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 6576 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.04*0.0519.\nAnswer: 0.002076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v + 10 - 3. Suppose 2*s + 3*i = -0*i - 7, -i + 7 = 3*s. Calculate the remainder when v is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b - 46*a + 33 = -47*a, 36 = -4*b + 4*a for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vvh when three letters picked without replacement from vyhjvjvhjiyijhhvh?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9046 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5727?\nAnswer: 3, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the second derivative of -y**10\/10080 + 3*y**8\/2240 + y**7\/420 - 7*y**4\/4 + 5*y. Let o(b) be the third derivative of t(b). Factor o(i).\nAnswer: -3*i**2*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -377, -368, -351, -326, -293, -252?\n\"Answer: 4*z**2 - 3*z - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -9*h + 54. Let x(f) = -5*f + 27. Let k(v) = -6*j(v) + 11*x(v). Let g(s) = -13. Let r(w) = 7*g(w) - 3*k(w). What is the units digit of r(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100110000110111 - -1011010011?\nAnswer: 100111100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ll when two letters picked without replacement from lbbllbl?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 405 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 3 - n**3 + 2*n + 4 - n**2 + 0*n - 3*n. Let v be f(0). Suppose 5*c - 67 + v = 0. Solve -4*g + g = c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -113428 greater than or equal to -159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = -116 + 71. Is 38 a factor of 68*(w\/(-12))\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, 3\/7, -0.0156, 2 in descending order.\nAnswer: 2, 3\/7, 0.2, -0.0156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 10917*2\/(6 + -5 + 5) + 4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 71, 155, 241, 329, 419, 511, 605?\n\"Answer: r**2 + 81*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -89*u + 3684 + 3702 - 7391.\nAnswer: -89*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 9\/10 of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 192\/11, -1\/4, -1\/6 in ascending order.\nAnswer: -1\/4, -1\/6, 192\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 3*o. Let b(m) = -3*m - 4. Let d(q) = -3*q - 4. Let g(l) = 3*b(l) - 4*d(l). Let c(j) = -3*j - 5. Let n(u) = -4*c(u) - 5*g(u). Give r(n(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/(-3) - -2 - 3. Suppose a = 3*d - 10 - 41. Solve 5 - d = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the first derivative of -656*m**5\/5 - m**3\/3 - 1168*m - 1090. Find the third derivative of u(i) wrt i.\nAnswer: -15744*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1587*b - 2*b**3 - 359*b**3 + 105*b**3 - 1702*b - 261*b**3 wrt b?\nAnswer: -3102*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4\/(-2) - 10\/(-6). Let a be 7\/(-4)*(0 - 21\/49). Sort -0.5, a, n.\nAnswer: -0.5, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -4*a + 1, 0 = -4*w + 5*a + 814. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dtcq when four letters picked without replacement from {q: 2, c: 3, t: 4, d: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 150 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 3219 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: Which is the nearest to 8\/15? (a) -2 (b) -5 (c) -1 (d) -26 (e) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 118507, 237054, 355601, 474148, 592695, 711242?\nAnswer: 829789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - (16 + (-19 - -9))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -2*w - 96310. Let x(c) = -c**2. Determine n(x(u)).\nAnswer: 2*u**2 - 96310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -g**3 - 234*g**2 - 233*g = 0 for g.\nAnswer: -233, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.03 + 121.03. Let l = s + -72. Is l bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101000101 + 10010010001100?\nAnswer: 10010111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 + -1. Let u = -166.974 + 165.6. Let g = 0.374 + u. What is the closest to n in -0.2, g, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6093 divided by -39?\nAnswer: 2031\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 551*u**2 + 17*u + 1. What are the prime factors of h(-1)?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -n**2 - 61708*n - 61707.\nAnswer: -(n + 1)*(n + 61707)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -11, 2, 49, -41, 4 in decreasing order.\nAnswer: 49, 4, 2, -11, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the first derivative of 17 - 5\/2*n**2 - 17*n. List the prime factors of a(-11).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 119857 is divided by 14981.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vv when two letters picked without replacement from vwffwv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -14883\/9308 + 1\/358. Let c = -861\/2 + 2092\/5. What is the common denominator of t and c?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5262*m - 4475*m + 48794 for m.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -10*p**2\/3 + 29933*p + 8980\/3.\nAnswer: -(p - 8980)*(10*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:42 PM and 9:53 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 43 - 14*m - 18*m - 14 + 31*m to z + k*m and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 46 + 8 = -18*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -15, -10, -3, 4\/5 in descending order.\nAnswer: 4\/5, -3, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -15*q. Let r(n) = 8*n. Let x(i) = 6*f(i) + 11*r(i). Suppose -11*z + 16 = -3*z. Let v(t) = -z*t**2 + 4*t**2 + 3*t**2. Determine v(x(y)).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (0*x**2 - 12*x**2 - 32*x**2)*(-1 - 9*x + 1 - 2*x + 0*x + 3*x + (-1 + 1 + x)*(2 + 0 - 1)) as z*x**3 + m*x + f*x**2 + p and give z.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 3523946773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -104 = -124*u + 144 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-43)*o**19\/o*(o*o**(-32))\/(o\/((o**(-26)*o)\/o)))**(2\/79) assuming o is positive.\nAnswer: o**(-166\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1.0035 > -2\/1377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:39 PM and 7:06 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*j**2 + 26*j**2 - 6 + 7 - 1.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 122 - 1030313?\nAnswer: -1030131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 946147 and 748502.5?\nAnswer: 197644.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in -3, -6\/11, 0.2, 11567, 16, -21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10111011101110111111 + -1000?\nAnswer: -10111011101111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -4, -220 in decreasing order.\nAnswer: -1, -4, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-21)\/9)\/((-1)\/3). Suppose 3*w = -y - x, 6*y - y - 50 = 2*w. Suppose -k + y = k. Solve 0 = -2*t - k - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v - y + 6 + 1 = 19, -7*v - y = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q**4\/9 - 160*q**3\/9 - 850*q**2\/3 + 16280*q\/9 - 13568\/9 = 0. Calculate q.\nAnswer: -53, -32, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3 + -11. Let o = t - -20. Let g be 2*(-11)\/(-44)*-2. Which is the third smallest value? (a) 1 (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 8619\/15 - (-4)\/10. Is w\/3 - (-6)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(-1*(-1 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 115543008 is divided by 1026.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 take away -174.456?\nAnswer: 174.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 172 a factor of 98845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(2 + sqrt(11)) - sqrt(275)*2) + 5*(sqrt(6336) - (0 + sqrt(6336) - sqrt(6336))).\nAnswer: -2 + 109*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/2)\/((-15)\/(-2 + 7)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v**2 + 4*v - 3. Let m be w(-5). What is the derivative of 2 + 3*y**4 - 2*y**m + 5*y**2 - 3*y**2 wrt y?\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -74239*p**3*x**3 + 128677*p**3 + 3*x**2 wrt x.\nAnswer: -445434*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3123*b**3 + 3805 - 3805 + (-2*b**2 - 2*b**3 + 2*b**2)*(-4 - 4 + 6) to m + w*b + y*b**2 + a*b**3 and give a.\nAnswer: 3127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 36\/42*(-322)\/46.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven quarters of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**3 + 19*h**2 - 19*h + 39. Let r be d(-20). Let t = 64 - r. What is the greatest common factor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.1, -4, -30, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*p - 54 + 48 = -2*w, 0 = 5*w + p - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 127 + -48. Suppose -57 = -q - 3*n - 16, 4*q - 164 = n. What is the remainder when v is divided by q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.3 - -0.1. Let w be (-400)\/(-7) + 0\/(-1). Let t = w + -57. Which is the third smallest value? (a) -3 (b) t (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 29\/3 in 6, -3, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8791427 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (492\/(-608))\/(-24 - -21) and -117\/190.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 19387 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 2*o = -27. Calculate the smallest common multiple of 15 and o.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 19887594?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**3 + 8*u**2 + u - 5. Give l(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -14503 + 14552. Is 1 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + 5. Let v(d) = d - 7. Let x be v(5). Let y = x + 8. What is the remainder when y is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 5*t = y - 16, -2*y = 5*t - 17. Suppose u - 3*u - 4 = 0. Put t, -5, u in descending order.\nAnswer: t, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -11584885, -11584876, -11584853, -11584810, -11584741?\n\"Answer: z**3 + z**2 - z - 11584886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/i**(-5))\/(i**(3\/2)\/i))**18 assuming i is positive.\nAnswer: i**99","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 16.36102 micrometers in millimeters?\nAnswer: 0.01636102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -13332*b - 60. Let i be c(-7). Suppose -4*z + 4*f + i = 0, f + 2856 - 26174 = -z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 3*u - 42 = 0. What are the prime factors of (5 - 4) + 9\/6*u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 - 2)*(-1 + 1 + 2*i + (2*i + 2*i + 2*i)*(-3 + 0 + 2)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5362 - 29\/(261\/108)?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -c (base 16) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = -2*s - 4*r, r - 11 = -2*s + 2*r. Suppose -2*g = -5*y + 25, -s*g + 0*y = 3*y - 15. Suppose -j + 1 + 8 = g. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:52 PM and 12:43 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 11835 * -383.8.\nAnswer: -4542273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -59547880 to the nearest one hundred thousand.\nAnswer: -59500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 73, -3778, -14239, -34616, -68215, -118342?\n\"Answer: -551*w**3 + w**2 + 3*w + 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f + 2*f + 2*f)*(-2 + 7*f + 2).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55*c + 1620 = -25*c. Calculate the remainder when c is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -p*r**3*x + 16*p*r**2*x - p*r**2 + 9*p*r*x**3 + p*r - 1044*r**3*x**3 wrt r?\nAnswer: -6*p*x - 6264*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 0 (b) 1 (c) -0.4 (d) 0.059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((a\/(a*(a*a*a**(-4)*a*a)\/a*a*a)*a)\/a**(1\/18))**(-4\/33))**(1\/24))**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/19 (b) 4.8 (c) 2 (d) -2\/11 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 9523871*z + 28534. Let n(j) = 4005*j + 12. Give -14267*n(a) + 6*p(a).\nAnswer: 3891*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 530556 - 3066265 = -61*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*a - 60 = -120 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be 11 + (-2 - -5)\/1. Find the common denominator of x\/(-96)*(0 - -4) and (24\/(-70))\/((-2)\/15).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.1 and 4.4.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/17526 and -43\/3648075.\nAnswer: 167811450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 31670, 63342, 95014, 126686, 158358, 190030?\n\"Answer: 31672*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:51 AM and 1:24 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, 3, 2\/53, 0.2, 0.76 in decreasing order.\nAnswer: 3, 0.76, 0.4, 0.2, 2\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2 - (7 - 3))\/6. Which is the third smallest value? (a) 0.3 (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s - 9. Let a be (-3509)\/(-116) - 1\/4. Let c(g) = -21*g + a*g + 0*g - 10*g. Calculate c(w(b)).\nAnswer: b + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*o + o - 2*y + 12, -2*y - 16 = -2*o. Calculate the least common multiple of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -390\/11 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 9, 42, 119, 258, 477, 794, 1227, 1794?\n\"Answer: 3*i**3 + 4*i**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -593, -1185, -1777, -2369, -2961?\n\"Answer: -592*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -17764 - 0.3?\nAnswer: -17764.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m + 5. Let p be c(-13). Let v(w) = w**3 + 3*w**2 + 7*w - 4. Let i be v(p). What is the remainder when ((-1)\/2)\/(5\/i) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**2 + h - 1. Let w(j) be the second derivative of -j**4\/3 - 2*j**3\/3 + 5*j**2\/2 - j. Let i(m) = -3*o(m) + w(m). Determine i(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 16, 12, -4, -38, -96, -184, -308?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o**(-36)*o**15)**(-14))**(-50))**(32\/5) assuming o is positive.\nAnswer: o**(-94080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = v**3 - 110*v**2 + 821*v - 487. What is l(102)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/(-6) - 14\/6. Let o be 0\/(1 + 0\/j). Suppose -5*c + 3*h = -20, -5*h = -o + 25. Solve 0 = -f + 2*b + c, -f - b + 5 = -2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(180) - (3*sqrt(180)*-2 + sqrt(180)))\/sqrt(10))\/(sqrt(1296)*2*-1).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes before 10:14 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 303479*w**4 + 57*w**2 + 47964690 wrt w?\nAnswer: 1213916*w**3 + 114*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 2, w: 2, g: 2}. What is prob of sequence wgvg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 70 is divided by (-11)\/33 - 110\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -2 - -2 - 91\/(-7). What is the units digit of (-14)\/21 + -22*c\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the first derivative of 6\/5*f**2 - 34 + 0*f - 2\/15*f**3. Solve w(p) = 0 for p.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60 + 0 + (2 - 3) + (-293 - -283)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1512482 to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 473 = 9*w, -129*k = -w - 128*k + 52. Solve -w*f = -143*f - 180 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 77 and 6776?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the first derivative of 19*j**4 - 142*j - 39. Differentiate i(g) with respect to g.\nAnswer: 228*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in -1\/3, 0.2, -3, 6\/25, 0.303?\nAnswer: 0.303","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -3145461 by 3145461.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-114950)\/(-18392)*(-8)\/(-50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -123*k = 79*k + k + 203 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-84)\/(-196) - 2\/21. Determine i so that -t + 0*i + 1\/3*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -5*b + 2*b - 4 + 0*b. Let k be j(-3). Let c(g) = g**2 - 14*g + 35. Let i be c(11). Solve k = i*u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2170 and 2241455.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 57508233767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 0 + 7)*(-3*j + 96 - 96) - 8*j - 10*j + 12*j + (4*j + 0*j - 6*j)*(0 - 4 + 3).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 273 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i**3 - 7*i**2 - 11*i. Let h be b(8). Let r be ((-685000)\/h)\/((-1)\/(-48)). Round r to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4878 + -479. Suppose -3*b + 1823 + d = 0. Let n = b + -12413\/6. Find the common denominator of -61\/4 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.51, -0.04, 5, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3668 and 280.\nAnswer: 36680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the third derivative of -5*c**4\/6 + 13*c**3\/3 + 9*c**2 - 22*c. What is i(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -80125, -80190, -80297, -80446, -80637, -80870?\nAnswer: -81145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/5)\/(502\/(-10040)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 466801257 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:33 PM and 4:46 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -2*d**2 - 100*d + 3197. Give f(24).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -726 = -19*p + 13*p. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.03 + 0.07. Let b = 21 + -61\/3. What is the nearest to 1\/4 in 4, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-y**2 + 2 - 2)*(-26*y**3 - 50*y**3 + 25*y**3) - 3*y**5 - 6*y**5 - 2*y**5.\nAnswer: 40*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 666 <= 562483\/846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 0 - 5)*((0*p - p + 2*p)*(6*p - 2*p - p) - 3*p**2 + 4*p**2 - 2*p**2) as o*p + q + t*p**2 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 22.49674s in milliseconds?\nAnswer: 22496.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 + (10 - (53 + -8 - 1 - 7))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1370*g**3 - 360*g**3 - 427*g**3 - 5296 - 64*g**3 with respect to g.\nAnswer: -6663*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 192 + -208 + (-6 - -22) + 4 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be -10 + (-12 - -264)\/(-18). Sort -13, -3, f, -5.\nAnswer: f, -13, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 39*l**2 + 3*l - 49. Let b = 7 + -4. Let q(a) = -78*a**2 - 5*a + 98. Let r(x) = b*q(x) + 5*g(x). Find the first derivative of r(c) wrt c.\nAnswer: -78*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3140*m**3 + 1051*m**3 - 35*m**2 + 1040*m**3 + 35*m**2 + 1041*m**3.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 121\/5080 and 93\/40.\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 5*u + 4. Let o be t(4). Let q = -13 + 15. Solve -5*j = q*z - o, 4*z + z - 5*j + 10 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47*c + 82 = -59. Let z(l) = -11*l + 24. Give z(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -268, -541, -814, -1087?\n\"Answer: -273*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be 161\/84*419 - (-24)\/(-32). Let r = -725 - 59. Let z = r + m. Calculate the common denominator of -89\/30 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 62 and 22056?\nAnswer: 683736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find y such that 4*y**4\/9 - 21040*y**3\/9 + 7004*y**2\/3 + 14024*y = 0.\nAnswer: -2, 0, 3, 5259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 13 + -7 + (15 - 20) + -11 + 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffoofo. Give prob of sequence of.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 69, -109, 4, -4 in increasing order.\nAnswer: -109, -4, -3, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (39\/546)\/(((-10)\/(-12))\/((-8)\/12)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*s**4 - 3*s**4 + 4*s - 5*s + (s**2 + 0*s**2 + s**2)*(-220*s**2 + 96*s**2 - 128*s**2) to the form m*s**4 + t*s**2 + l*s + v + c*s**3 and give m.\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -362*s - 367. Give d(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 1324*m**2 + 8*m - 30. Let i(t) = 441*t**2 + 3*t - 10. Determine -8*i(k) + 3*v(k).\nAnswer: 444*k**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/3 of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 4.034142 and -1100?\nAnswer: 1104.034142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that -25*b**5\/4 - 65*b**4\/4 + 23949*b**3\/4 + 19233*b**2\/4 - 1443582*b + 1432809 = 0.\nAnswer: -114\/5, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from bgmgbvngbnngvbdbv?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -15, -35, -71, -129, -215, -335, -495?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 125153 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 32 - 58. Let d = 202624504.99999975 - 202624479. Let f = d + i. What is f rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8712283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 123700686?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 49*d**3 + 205 - 64 + 458*d**3 - 75 - 66.\nAnswer: 507*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -76 divided by -1?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:40 AM and 1:35 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*h**2 + 0*h**2 + 9*h**2 - 6*h**2.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:05 AM and 11:22 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 2*l = -4*n + 12, 3*n + 3*l = -6. Calculate the smallest common multiple of 35 and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*f**3 + 65 - 47*f + 88*f + 21 - 39*f.\nAnswer: 15*f**3 + 2*f + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 267004721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 = -2*j + 3*o - 8*o, -108 = 5*j + 2*o. Let h be (-145379995)\/j - 3\/(-12). Round h to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46.5817 rounded to one dp?\nAnswer: 46.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = -0*i - 5*i + 18, -2*v - 16 = -4*i. Let c(n) be the second derivative of 1\/6*n**3 - 1\/2*n**i + 0 - n + 1\/12*n**4 - 1\/20*n**5. Factor c(t).\nAnswer: -(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/((-12)\/(-3)))\/((-143)\/22)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:16 PM and 4:06 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 3 (b) 5\/2 (c) 1195\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 720 and 3204?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -854, -3493, -7904, -14087, -22042, -31769, -43268?\nAnswer: -56539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(10)\/sqrt(5) + sqrt(2))**2 + sqrt(72)*3 - (sqrt(352)*-5)\/(sqrt(891) + sqrt(891)*-2 - sqrt(891)).\nAnswer: 152*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 + 0 + 7 + 22*q.\nAnswer: 22*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 0*a - 6 = 3*a, 2 = 2*d - a. Which is smaller: 7.87 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1856 - -2787?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11290 and 18.\nAnswer: 101610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/21895 and 29\/35392.\nAnswer: 774907840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5723273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1564 or -1567?\nAnswer: -1567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2136*u**2 - 1515*u + 2.\nAnswer: -4272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g**3 - 20*g**2 - 164*g + 180 = 0. Calculate g.\nAnswer: -5, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve g = -5*o - 744 + 729, 6 = -2*o + 4*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 3, 355378.\nAnswer: 0, 3, 355378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1322?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 54 and 72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 45546 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes after 7:47 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c - 2 = -4*i - 14, 0 = 5*i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -47a + -1?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -1215422 (base 6) to base 11\nAnswer: -44707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 3 = -3*a + 15, -2*a + 5 = -5*j. What is the hundreds digit of 739 + (a - 9\/2)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2010202211 + -1100120?\nAnswer: 2002102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -81\/274060 and -145\/6659658?\nAnswer: 66596580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(30)\/(sqrt(20)\/sqrt(2)) - (sqrt(147) + 1 + sqrt(147))**2 - (4 + (0 + sqrt(3))**2 + 0 + -2).\nAnswer: -594 - 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/((-70)\/(-14)))\/(-1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:15 AM and 6:25 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1893767.\nAnswer: 113, 16759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -69\/26 and 89\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d + 4*d - 120. Suppose t - 5*s + 25 = -0, -2*t - 5*s + 25 = 0. Suppose -15*x + 51 - 6 = t. Solve -x*n - c = 2*c - d, -4*n + 4*c - 8 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49117 is divided by 2721?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23765548, 47531094, 71296666, 95062276, 118827936, 142593658?\nAnswer: 166359454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1510*-0.5\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 33117 and 6806?\nAnswer: 2715594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**3 + a**2. Let h = 168 + -169. Let i(t) = 9*t**3 - 2*t**2 + 100*t. Let o(w) = h*i(w) - 2*g(w). Find the second derivative of o(f) wrt f.\nAnswer: -66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1415083007.\nAnswer: 13, 19, 691, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**2 + 10*v + 45. Let q(n) = -n**2 - 11*n - 46. Let k(f) = -3*d(f) - 4*q(f). Suppose k(z) = 0. What is z?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 7 by -14928.\nAnswer: -7\/14928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-2))**(-43)\/(n*n**4*(n*n*n**1)\/n))\/(((n\/(n\/n**7))\/n**(-1\/6))\/(n**(7\/2)\/(n*n*n**6\/n*n))) assuming n is positive.\nAnswer: n**(202\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7668 - -15055. Is 37 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from {s: 5, w: 8, p: 3, x: 3, n: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = -276 + 406. Calculate the highest common factor of j and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v**2 - 10109*v + 3240589. Calculate x(311).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = g. Let p be (g\/(-2))\/(4\/(-2)). Which is smaller: p or -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52 = 5*c - 8. Let d = 198 + -26. Suppose -4*o = -4*v + d, 235 = 5*v - 2*o + o. What is the highest common divisor of v and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -366208456*k*r + 117048008*r with respect to k.\nAnswer: -366208456*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = c - 10, 3*c + 15 = -2*f. Suppose 5 = 2*a - 5*s, a - 6*s + s = f. Find d, given that 7*d - 6*d + 12 + 7*d - a*d**2 + d**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -519, -351, -79, 291, 753, 1301, 1929?\n\"Answer: -o**3 + 58*o**2 + o - 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 275, 4, -87, 8, 5 in ascending order.\nAnswer: -87, -4, 4, 5, 8, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 1 t, and 2 h when four letters picked without replacement from {t: 1, a: 3, l: 2, z: 1, h: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 83749537.\nAnswer: 37, 811, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0176970906 rounded to 5 dps?\nAnswer: -0.0177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 22501319873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -2, -4, -3 in ascending order.\nAnswer: -4, -3, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 109852*w - 608*w**2 + 1 + 605*w**2.\nAnswer: -3*w**2 - 109852*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v - i - i + 61, 2*i + 257 = 5*v. Let k = v + -25. Suppose -12 = -4*r - k. Put 0, r, -2 in decreasing order.\nAnswer: 0, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -144*c - 139*c - 79*c to w + y*c and give y.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 4285149 to the power of 1\/2, to the nearest integer?\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 176108908?\nAnswer: 2, 43, 661, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 50449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the third derivative of 0 + 0*h**3 + 0*h + 4*h**2 - 1\/6*h**4 - 1\/30*h**5. What is the second derivative of t(g) wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 + 83 = 16*o - 20. Are 517 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -107052*r - 107001*r + 214063*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, 2\/25, 7\/2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - (45 - -27 - 57)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -53*o**2 - 136*o**2 + 193*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*c*q**4 - 34*c*q**3 + 4*c*q**2 + 9*q**2 wrt q.\nAnswer: 48*c*q - 204*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*h**2 + 2*h**2 + 2*h**2)*(4*h + 2*h - 5*h) - 3*h**2 - h**3 + 3*h**2 - 4*h**3 + 4*h**3 - 4*h**3 + (-h**3 + 6*h**3 - 3*h**3)*(0 - 7 - 2).\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/6, 3, 1\/5, -912, 5 in increasing order.\nAnswer: -912, -1\/6, 1\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**4\/((((m*(m**(-2\/15)\/m)\/m*m)\/m)\/m)\/m))**(-1\/4)\/((m*(m\/((m*m**(-1\/4))\/m))\/m)**46*((((m**(-2\/3)*m)\/m*m)\/m)\/m)**(-1\/6)) assuming m is positive.\nAnswer: m**(-10721\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q + 8. Let l be o(4). Suppose 4*n - b = 37, l*n + 4*b - 42 + 10 = 0. Let z = n + 61. List the prime factors of z.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 146695*j*t**4 + j*t + 1931637*j wrt t.\nAnswer: 586780*j*t**3 + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/5, -2338, -25153?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwfwfwwwwwfffwwwwww. What is prob of picking 4 f?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-5 + sqrt(500)*1*3)*3.\nAnswer: -45 + 270*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.73, 174, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:53 PM and 10:57 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 5*u = -35, 4*l = -2*u - 10 + 32. Solve -l*b = 20, 0 = i + 4*i + b - 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the first derivative of m**2 - 32. Let i(g) = -32*g - 4. Let b(o) = -414*o - 54. Let t(y) = -4*b(y) + 54*i(y). Give s(t(v)).\nAnswer: -144*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence unm when three letters picked without replacement from muuhzwhn?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r = 697031\/983976 - 2\/40999. Calculate the common denominator of (-28)\/(-12)*26\/(-16) and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 l and 1 f when four letters picked without replacement from {y: 4, h: 3, f: 2, l: 6}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -240 = -3*z - 5*c, -964 = 4*c - 2021 + 877 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 343941397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 4*g**2. Let b(d) = 7*d**2. Let s(t) = -3*b(t) + 5*m(t). Let p(n) = 15*n**2. Determine s(p(f)).\nAnswer: -225*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = 475 - 498. Which is the second smallest value? (a) -3 (b) d (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*o**5 + 481*o**4 + 2407*o**3 - 2536*o**2 + 476*o = 0 for o.\nAnswer: -34, -7, 0, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/(-22)*(-4)\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**2 - d. Let i(n) = -42*n**2 + 30*n. Let f(t) = i(t) + 30*v(t). Let r(y) = 3*y**2. Calculate f(r(c)).\nAnswer: -108*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -3015315 (base 6) to base 13\nAnswer: -4cac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 190259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10143?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -5 - 19 - 5 - (-268 + 200)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 2 + 4)*(3 + 2 - 2)*(-3 + 3 - t + t - 2 + 2 + (3*t - 2*t - 3*t)*(4 - 2 - 3)) in the form o + b*t and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70 = s - 37. Let c = s + -46. Let h = -57 - c. Calculate the greatest common divisor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00709 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5129685?\nAnswer: 3, 5, 11, 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 108029.\nAnswer: 59, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((1 + 0 - 2)*(-4 + 2 + 1) + 1 + 2 + 1)*(-x + x + x)*(0*x + 3*x - 4*x) to w*x + p*x**2 + d and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 0.3 (b) -0.5 (c) -13 (d) 45417\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 6 = -4*t. Suppose z = 3*z - m - 2, -t*m = 5*z - 23. Solve -5*r + z*h = 11 - 3, 0 = -2*r - 2*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -161*f - 3*q - 24 = -165*f, 4*q = -4*f - 4. Solve 0 = f*d - 13*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1355231?\nAnswer: 43, 31517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4\/13 in 2.1, -4, -2, -0.04, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/87 and -59\/1692?\nAnswer: 49068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 116588 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 25063, 5, 1, -32 in decreasing order.\nAnswer: 25063, 5, 1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11562?\nAnswer: 2, 3, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from qiaawiiiiqwiadiaia.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 684863.1 months to decades.\nAnswer: 5707.1925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 25048 - 25050. Let i(g) = 177*g + 360. Give i(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 3, 10.3, -33, 10, -1\/4, -30?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*r - 3*r + s + 7, 3*s + 12 = 0. Let p(l) = -16*l**3 - 3*l**2 - 9*l - 7. Let g be p(r). Solve -2*j = -2*c, -5*j - g = 3*c - 3*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -69*j = -56*j + 65 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -30*p**2 + 5*p + 10. Let z(u) = -61*u**2 + 11*u + 20. Let g(w) = -7*t(w) + 4*z(w). Let s(a) be the first derivative of g(a). Is s(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 226563294 divided by -21689\nAnswer: -10446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 748 a factor of 138929032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 2889109, 11556419, 26001935, 46225657, 72227585, 104007719?\n\"Answer: 2889103*u**2 + u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -44*d - 1. Let j be 4\/6 - (-477)\/(-27). Let b = 16 + j. Is i(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -25 + 25. Suppose 4 = -0*i + 2*i. Suppose 2*x + 10 = 0, -4*q + i*x + 8 + 34 = o. Calculate the remainder when 10 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*j + 4*j. Let y = 3.7 + -4. Let p = -0.8 - y. Which is the second smallest value? (a) 4 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -120*g - 70*g - 24*g - 52*g in the form w + o*g and give o.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 42174112 to the power of 1\/2, to the nearest integer?\nAnswer: 6494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -3*z + 9. Let h = z - -15. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.264804759 and 0.077.\nAnswer: 0.341804759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 66 + -7 + -19 + 58\/58?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 216 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4965851, 9931702, 14897553?\nAnswer: 19863404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -y + 2. Let k(u) = u - 1. Let o(b) = -2*b**2 - 1. Let f(m) = 2*k(m) - o(m). What are the prime factors of f(y)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(-5\/2))\/n**(-1) assuming n is positive.\nAnswer: 1\/sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -5 + 0 + 7 - (1 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*r - 5*r + 2. Is 18 a factor of ((-16)\/r)\/(16\/360)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1769232 divided by -6?\nAnswer: 294872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 - 2*u)*(-2 + 0 + 5)*(2*u**2 - 6*u**2 + 3*u**2).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*a**2*z**2 - 256*a**2*z + 2*a**2 + 2*a*z**5 + 69*a*z**2 - 2*z wrt z?\nAnswer: 8*a**2 + 40*a*z**3 + 138*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 71\/161286 and -33\/10.\nAnswer: 806430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 2518470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z*z**21*z)\/(z\/z**0)*(z**(-2))**(1\/4) assuming z is positive.\nAnswer: z**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -d + 4*y - 5, 0 = -d + y + 5. Let z = 1 + d. What is the remainder when (-12)\/z - 99\/(-2) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-280)\/(-60)*(-711)\/(-210693)\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -4286\/11, -1, 1\/8 in decreasing order.\nAnswer: 1\/8, -1, -4286\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -216417*h**2*t**4*u - 120600*h**2*t**2*u + h**2 + 20*h*t**4 + 2*h*t**2*u wrt t.\nAnswer: -5194008*h**2*t*u + 480*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 912396234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00377754536 to seven dps.\nAnswer: -0.0037775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**3. Suppose b + 2*w = 98, -3*b - 342 = -7*b + 2*w. Let y(n) = -43*n**3 - 41*n**3 - 3 + b*n**3. Give -2*o(r) - y(r).\nAnswer: -2*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand d**3 - d**5 - d**3 + (-d**4 + 6*d**4 - d**4)*(-11 - 30 + 13)*(0*d + 0*d + d).\nAnswer: -113*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*m - 408 - 212. Let a(b) = -b**3 + 2*b**2 - 4*b + 2. Let s be a(3). Let g = m + s. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -23.05+1.7\nAnswer: -21.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 5 - 6)*(-24*z**2 + 45*z**2 + 107*z**2).\nAnswer: -768*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 4*s - 3*s = -46, 0 = s + 2. Suppose -9 = 3*t, 5*w - z*t - 36 = -9*t. Sort 5, 1\/4, w in decreasing order.\nAnswer: w, 5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = 5*c + 49, -2*n = -c - 7*n - 5. Let r = -8 - c. Solve r*j = 4, -j = 4*a + 2*j + 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 55*q + 10*k - 31 = 54*q, -4*k + 44 = -2*q + 34 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 5*c - 1. Let q be s(-1). Let g(d) = d + 5. Let l(i) = 3*i + 14. Let v(m) = 17*g(m) - 6*l(m). What is the units digit of v(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -69\/250 and ((-4)\/(-6))\/(40\/(-1392)*410).\nAnswer: 10250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-4*(sqrt(288) + 2 + sqrt(288) + -1))**2.\nAnswer: 3072*sqrt(2) + 73792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert c775 (base 16) to base 5.\nAnswer: 3113221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Add 3 and -18375444.\nAnswer: -18375441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 169 = 10*n - 9*n. Let c = 242 - n. What are the prime factors of c?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 2, m: 8, c: 2, p: 6}. What is prob of sequence pmc?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 104\/32 - -976*(-4)\/256 - -55.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 15*t + 48 = -18*t, 0 = -3*t. Solve -4*m = 4*g + r, -4*g + 4*m + 2 + 6 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (1\/(-10)*2)\/((-2)\/(-4))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 909 and 207?\nAnswer: 20907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8635 + -8635.0000095719. Round f to 7 decimal places.\nAnswer: -0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrrrrrrrrrcrcrcrrr. What is prob of sequence rc?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the first derivative of 3\/4*y + 1\/24*y**3 - 79 + 7\/16*y**2. Factor o(f).\nAnswer: (f + 1)*(f + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1175973*k**4 - 3*k**3 - 58*k**2 + 4228*k - 3 wrt k?\nAnswer: 28223352*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 7.1, -0.2 in increasing order.\nAnswer: -5, -0.2, 7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 58 and 116865998.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -31 + 23 + (3 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 22 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 1)*(-2*l + l + 4*l) - 2*l + l - l - 7 - 5*l + 7.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-3)\/((-9)\/2))\/((-12)\/(-15894)). Let c = j + -618. Let t = 372 - c. List the prime factors of t.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 9726, 9133, 8528, 7911?\n\"Answer: -6*u**2 - 575*u + 10307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t**3 + 21*t**2 - 2*t + 17. Is i(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0 + (-5)\/(-10))\/2. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*c + 217*c = 1374*c + 909*c - 238*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 259 - 258. What is the third smallest value in b, 0.1, 2\/9, -1\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**3 + 45*l**2 - 90*l - 639. Calculate p(-45).\nAnswer: 3411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 286919.4 milligrams to kilograms.\nAnswer: 0.2869194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = 322*p - 326*p + 3*i, -4*p - 15*i = -23 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:24 AM and 4:16 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 397, 790, 1185, 1582, 1981?\n\"Answer: c**2 + 390*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -1905 and 0.1.\nAnswer: -190.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.01204 or 27.56?\nAnswer: 27.56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8674105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2096*c**2 - 478*c + 384 + 2093*c**2 + 3*c**4 + 2*c**3 - 384 to the form y*c + v*c**4 + t + z*c**2 + q*c**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 154 + -10072006?\nAnswer: -10071632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3483092 micrograms in kilograms?\nAnswer: 0.0000000003483092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 623649.\nAnswer: 3, 13, 15991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -2*h + 34. Suppose -3*y = -7*k + 2*k - 10, -1 = -k. Solve -4*t - 28 = y*v, -2*t - h = 5*v + t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -w + 5*v + 62 = 10*v, -7*w = -0*w - 4*w + 3*v - 42 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (u - 1 + 1)*(-103 - 41 + 40) - 2*u + 1 - 1.\nAnswer: -106*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 744599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1460 is divided by 780?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -254*v + 78*v + 2 - 244*v - 4 - 174*v as d*v + c and give d.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 17 or 190\/11?\nAnswer: 190\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 6469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1440755321?\nAnswer: 17, 37, 107, 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-6*j - 15*j + 5*j)*(-4*j + 3*j + 0*j) + 2*j**2 + 4*j**2 - 5*j**2 in the form o + r*j**2 + t*j and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/11 in 0.06, 5, -1, -1.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n**3 - n**2 + n + 2. Let i be u(-2). Let a be (-370)\/(-259) + (-4)\/(-7). Let b be i\/(-16)*(-1)\/a. Is b > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = v**2 - 6*v + 6. Let i be h(4). Suppose -5*d + 12 = -2*b, 80*b - 85*b + 3 = 4*d. Put i, 3, -3, b in increasing order.\nAnswer: -3, i, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -81\/10 and 59\/164894.\nAnswer: 824470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = -2 - 13. Let i(h) = -h**2 + 2*h. Let o be i(c). What is the units digit of 0 + (-1 - (-1 + o))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*x + 7*x - x + 4*x - 5*x + 8*x + 2*x + 3*x - 4*x + 3*x + 0*x - 4*x + (3 - 3 - 1)*(-5 + 5 - 2*x) + x + 5*x - 4*x - x + 3*x - 3*x - x - 7*x - 2*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = -147 + 225. Is 26 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.8, 2\/7, 0.00755, -20 in decreasing order.\nAnswer: 0.8, 2\/7, 0.00755, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u + 35 - 5. Let g = 2 - u. Let m = g + -3. Which is smaller: 4 or m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 177 a factor of 11728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6*h**3*u**3 + h**3 - 81*h**2*u**5 - 90*h*u**2 - 9*h*u - 2*u**2 wrt u.\nAnswer: -36*h**3 - 4860*h**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {y: 1, d: 1, p: 1, g: 1, x: 2, t: 9}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 + -2 - (-13 - 0 - -3). What is the common denominator of 61\/9 and (43\/(-6) - -2)\/(6\/m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 24? (a) 56\/19 (b) 50 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -7*n**2. Let w be -1*(-2 + -3) - 3. Let s(g) = -1 - 1 + w - g. What is a(s(b))?\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 357 + -297 + (-11709)\/195?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 4*a + 1. Let g be n(-1). Let o be 1\/g + 12\/9. Let q be (-2)\/(-6)*(-45)\/55. Do o and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*j + 6 = 23*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -s - 2 - 6 - 6*s**2 + 1 + 10 - 18*s in the form p*s + y*s**2 + m and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -675.634 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i**2 + 86*i - 1221. Calculate o(68).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0691*0.5.\nAnswer: -0.03455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(120)\/sqrt(20))\/sqrt(4))\/(sqrt(800)*5).\nAnswer: sqrt(3)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 2*a**2. Let i = 28 - 39. Let h(t) = 18*t - 4. Let v(g) = 53*g - 11. Let r(y) = i*h(y) + 4*v(y). Determine m(r(j)).\nAnswer: 392*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**3 + 11*y**2 - y + 7. What are the prime factors of i(-10)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1205459968?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {y: 6, a: 12}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -140 - -75.848. Let b = 0.152 + a. Let t = 64.00000108 + b. Round t to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2454 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-5)\/(-3))\/(8 + 142\/(-18)). Suppose j = -891*h + 894*h. What is the remainder when 13 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5003267*s**2 + 521*s - 2026 wrt s?\nAnswer: -10006534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**3 - 7*v**2 + 8*v - 7. Let b be (-5 + 17)*(-2)\/(-4). What is i(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 64, 104, 216, 436, 800, 1344?\nAnswer: 2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 19.94 - 20. Let t be 2\/1*47\/(-5). Let g = -96\/5 - t. Which is the second smallest value? (a) n (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -172 + 247. Suppose j = -4*j + y. Is 14 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the first derivative of -s**2 + 0*s + 0*s**4 - 4 + 0*s**3 - 1\/3*s**6 + 0*s**5. What is the second derivative of q(t) wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1487 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 - -11. Suppose 21 + h = 2*t. Calculate the smallest common multiple of 108\/(-1620) + 2731\/15 and t.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2489733 divided by -276637?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Subtract 295 from -494535.\nAnswer: -494830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = 3*p - l - 160, -3*p + 120 = 3*l. Let c = -620 - -635. Calculate the remainder when p is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 3296758, 3296759, 3296760, 3296761, 3296762, 3296763?\n\"Answer: x + 3296757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*o**2 - 51*o - 48.\nAnswer: -3*(o + 1)*(o + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -4, 60466 in descending order.\nAnswer: 60466, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 133925 is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the second derivative of -z**4\/12 + 2*z**3\/3 + 3*z**2\/2 - 18*z. Let l be o(4). Let x(v) = v**3 - 5*v**2 + 4*v. What is x(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2120013 - 11033232?\nAnswer: -13213311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1090\/177 + 981457\/161070. Find the common denominator of -111\/2002 and m.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 1\/5, -29, 0.1, -780, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 25*y - 62*y + 703. What is the remainder when 131 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = w**3 - 3*w**2 - 3*w + 1. Let c = 16 - 13. Let v(r) = 2*r**3 - 8*r**2 - 8*r + 3. Suppose -17*y - 24 = -14*y. What is c*v(p) + y*f(p)?\nAnswer: -2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 8*c + 144. Determine o(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 4075019.9 days?\nAnswer: 582145.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be 25 - (-8 - -4 - -4). Suppose -x = -r - 4*r. Find the third derivative of 8*b**3 - 11*b**3 + 2*b**2 - r*b**3 wrt b.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29692563*a**2 - 2*a + 2*a + 29692565*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 475 + -445. Calculate the highest common divisor of 78 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*d + 2*u - 6, 4*u + 60 = 3*d + 77 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*j**3 + 4*j**3 + 15*j**3)*(2 - 1 - 4*j + 6*j) - 2410*j**2 - 6*j**4 + 0*j**4 + 2402*j**2 in the form f*j + g + v*j**4 + u*j**2 + s*j**3 and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 7078483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11917 - 5969 - 5948 - 324*h + 16*h - 21*h.\nAnswer: -329*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 70 = -13*p + 759 + 299. Calculate the highest common divisor of p and 1026.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -806173060 - 0.3.\nAnswer: -806173060.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*z + 18 = -21*z. Calculate the greatest common divisor of z and 528.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -4 (b) 1\/8 (c) -2\/3 (d) 1 (e) 0.19322\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -31*a**2 - 1. Let z(u) = -u**2 - 6*u + 8. Let i be z(-7). Let v be h(i). Let j = 1 - v. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1.43 - -75.43. Let h = k - 74. What is the biggest value in h, 6, -0.2, -0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 511066, 1022131, 1533196, 2044261?\n\"Answer: 511065*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 92 - 34. Let q = -37 + m. What is the remainder when 39 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*-3*(sqrt(72) + sqrt(72)*2*-1) - ((sqrt(72) - (-2 + sqrt(72) + -3)) + 1)*4)**2*-4.\nAnswer: -25632 + 10368*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -1904 (base 10) to base 3\nAnswer: -2121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*n - 3*n = -1008. Let p be (n\/(-18))\/((-6)\/(-9)). Suppose -t + 279 = -p. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.02 - 0.28. Suppose 0 = -5*h - 141 + 41. Let p be ((-4)\/95)\/((-8)\/h). Which is the smallest value? (a) p (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1660 * 1.8\nAnswer: 2988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -112285 + 224577 - 112292 - 16126*u in the form k*u + q and give k.\nAnswer: -16126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d - 4 - 8 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 2.404 and -704426608?\nAnswer: 704426610.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -6011003 bigger than -6011007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f = -3*p + 174, 0 = -4*f - p - 161 + 224 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 38*u + 16*u**2 - 21*u - 12*u wrt u?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 3, f: 1, p: 1, m: 1, k: 1}. Give prob of sequence km.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(350) - (sqrt(350) + sqrt(350) + sqrt(350) + -3*sqrt(350)))\/sqrt(7).\nAnswer: -3 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) be the second derivative of 11*y**8\/56 + 11*y**6\/30 + 65*y**4\/3 - 5*y - 15. Find the third derivative of j(l) wrt l.\nAnswer: 1320*l**3 + 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1\/4)*t**(-5))**(-40\/9)\/((t\/(t*t*t*(t**(-5)*t)\/t*t)*t*t**3*t)\/((((t\/t**(2\/15))\/t*t)\/t)\/((t\/(t**1\/t))\/t))) assuming t is positive.\nAnswer: t**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (2*z**2 - 8*z - 10*z + 14*z)*(0 + 0 + 3*z**2)*(-2 + 1 + 0) in the form o*z**3 + h*z**4 + v + j*z**2 + m*z and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((sqrt(77)\/((sqrt(35)\/sqrt(5) + sqrt(7))*2 + sqrt(7)) - (6*(sqrt(99) + 3*sqrt(99) + sqrt(99) + sqrt(99)))\/sqrt(9)) + -2).\nAnswer: 2 + 179*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 16\/4 + -1 - -46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 4 - 6*j**2 + 0)*(21 - 10*j - 21).\nAnswer: 60*j**3 + 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -60 + 31 + 78 - 80\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 50226 - 16446. What is t rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 84474224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(78\/12 - 4). Let o = -4829.002 + 4823. Let s = o - -0.002. What is the third biggest value in 3\/5, q, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -291 - -290.6. What is the second smallest value in 3\/7, w, -6\/7, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 496077 is divided by 1231.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4)\/18 - (-76)\/18. Suppose 12 = -z*d + d. Let j(y) = -2 - 33*y + 66*y + y**2 - 28*y. Calculate j(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 5470 + -3?\nAnswer: 5469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0.7, 2\/5, -2\/5, 2\/9 in ascending order.\nAnswer: -2\/5, 2\/9, 2\/5, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-3)\/(-36))\/(27\/(-72)). Sort -1\/2, w, -2, -7 in increasing order.\nAnswer: -7, -2, -1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ggrrrrrgrrgrrrrrgr. Give prob of sequence rgrr.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 2*g - 32. Determine d(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5132380 divided by -1.\nAnswer: 5132380","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26608 is divided by 114.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -22217.42 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-2))**(-2) assuming g is positive.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the first derivative of 1\/3*i**3 + 1\/4*i**4 - 1\/2*i**2 - i - 9. Factor y(c).\nAnswer: (c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (188\/752)\/((-6)\/36)*452\/(-6)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/(-4) + 28\/6*45\/(-165).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -319, -1672, -3941, -7138, -11275, -16364?\nAnswer: -22417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -11d2 (base 16) in base 9?\nAnswer: -6228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 14) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -121*t - 62*t - 23*t to g + m*t and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u be 11970 - 2\/(-4)*10. Suppose -2*t - 2*v + 4790 = 3*v, u = 5*t + 5*v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 32 = 5*l + 3, 0 = s + l - 11. Solve -s = 5*x - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 225*l**2*q**3*w**2 - l*q*w**2 - 4*q**3*w**2 + 4*q**3*w wrt l?\nAnswer: 450*q**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nonnncnncnnnoqcnqqnn. Give prob of picking 3 q.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2, 1\/2, -0.16, 1.6, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1425847 to the power of 1\/2, to the nearest integer?\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1331) + 5*-2*sqrt(1331) + 1*1*sqrt(1331) + 4*(-2 + sqrt(1331)) + 3 + 5)**2.\nAnswer: 21296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 2 = -2*h, 9*f - 7*f - 27 = -3*h. Let 3*i - 11*i + 2*i**2 + 2 + f - 2 = 0. Calculate i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 332204932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1675 (base 10) to base 7\nAnswer: 4612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**2\/3 + 16*d + 88\/3.\nAnswer: 2*(d + 2)*(d + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -31 - -21. Let y = p + -8. Let i be (6\/9)\/((3\/y)\/1). Let f(t) = t**3 + 5*t**2 + 2*t + 4. Give f(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 899 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - f = 322, 2*n - 4*f = -n + 248. Suppose -n = 5*d - 0*d. Let q = 28 + d. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1101001110010111 (base 2) in base 7?\nAnswer: -313631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -268, -2093, -7048, -16699, -32612, -56353?\n\"Answer: -261*k**3 + k**2 - k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/14 - -1)\/((-1955)\/595 - -5).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence at when two letters picked without replacement from qpaoooooaoopotopo.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 4*33794\nAnswer: 135176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4\/(128\/136) - 1\/4. Suppose h*t + 15 = t. Let x(z) = z**3 + 6*z**2 + z - 7. Determine x(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6214, -7790, -12078, -20434, -34214, -54774, -83470, -121658?\nAnswer: -170694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1 - (2 - 0)) + 0. Let a be (7 - 11)*(w - 0). Suppose -8 = 4*n, -2*n = 4*o - n - 110. Calculate the highest common factor of o and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 447 and 195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -55 or -156.01?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 7880709 and 6?\nAnswer: 15761418","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*h - 5*f + 67, 3 = -4*h - 4*f + 87. Let b = h - 11. Calculate the smallest common multiple of b and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -376.0529 minus -11.85?\nAnswer: -364.2029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2603 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 77 and 999768.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 253962 and 1749516.\nAnswer: 15745644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.9 - 0.1. What is the closest to -1\/4 in a, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -10*(-3 - (-72)\/20 - 1). Suppose 3*d = -5*b - 2*d, -d = -5*b + 12. Let f(k) = -k**b - 4*k + 4*k + 3. Calculate f(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 8444\/(-2820) + 6\/2. Let r = 21811699 + -15377253298\/705. Let o = u + r. Calculate the common denominator of 5\/9 and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 13*k**2 + 3*k + 2. Give b(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 100 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 10768259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1932325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(33)*-2)\/((sqrt(42)\/sqrt(2))\/sqrt(7))*4 + (-4*sqrt(99)*-2)\/(sqrt(54)\/sqrt(6)*-5).\nAnswer: 152*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose a**5 + 281*a**4 - 1145*a**3 - 1425*a**2 = 0. Calculate a.\nAnswer: -285, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 191.9603t to nanograms.\nAnswer: 191960300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 15*u**2 + 11*u**2 + 14*u**2 - 43*u**2. Let j(z) = z**2 - z - 1. Let s(l) = -l - 1. Let t(a) = -5*j(a) + 5*s(a). What is t(v(c))?\nAnswer: -45*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -2499, -6161, -12271, -20835, -31859, -45349, -61311?\n\"Answer: -q**3 - 1218*q**2 - q - 1279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*j + 3*j - 3*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/2 of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 5*g**5 + 480*g**4 - 13540*g**3 + 100800*g**2 - 285760*g + 268800 = 0. Calculate g.\nAnswer: -120, 2, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 3*o**2 - 2. Let t(x) = x**2 - 6*x + 5 + 6*x - 9*x**2 - x**3. Suppose 0*f + f = 8. Let b = 4007 + -4004. Give b*t(n) + f*w(n).\nAnswer: -3*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that c**5\/3 - 133748*c**4\/3 - 2942843*c**3\/3 - 4325318*c**2 + 11771808*c - 6420960 = 0.\nAnswer: -12, 1, 133770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 12 - 54403961*n**3 + 6*n + 54403960*n**3 - 5. Calculate m(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z**2 + 77. Let k be 0\/(-2) + 0\/7. Is o(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8944291\/2504 - 3572. Is i < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -58*v - 487. What is l(-41)?\nAnswer: 1891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 28645743727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*c - 8*c - 16 = 2*z, 4*c - 12 = 4*z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1534484598?\nAnswer: 2, 3, 29, 1931, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 16 - -125425797209?\nAnswer: 125425797225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -90173, -90176, -90179, -90182?\n\"Answer: -3*j - 90170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 0 = -5*t + 5, -5*k = -4*t + 25. Let m be -1 + -1 - (k - -6). Suppose -2*n + 7*n + 25 = 0. Put m, n, -4 in decreasing order.\nAnswer: m, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (4\/8 - (-5)\/10)*(16 + -12). What is the highest common divisor of l and 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.3 and -695.\nAnswer: -694.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -0.932 * 38345\nAnswer: -35737.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57 - 63 = -5*u. Let t be (-6)\/2*(-4)\/3. Solve p = -4*k - u, -p - k + 11 = -t*k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 - 17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = -12595 - -12596. Calculate the smallest common multiple of 797 and c.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = 25 + 275. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the first derivative of y**3\/3 + y**2 - 32*y - 142. Let s be m(-7). Which is the biggest value? (a) -1 (b) 0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**3 - 2*u**2 - 4*u + 2. Let v be c(3). Let a be v + (-1 - 49\/(-14)). What is the second biggest value in a, -0.1, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -2*k. Let b be 1\/2 + 10\/4. Let a(j) = 2755 + b*j - 2755. Give a(u(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2589 - -3085. Does 31 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-15) - (511\/(-70) + 7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jrrbjbjebs. What is prob of sequence jj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 2*y - 37. Let t be m(20). Suppose -3 = -x - 0*x. Suppose -5*a - 3*k - k = 2, 15 = t*a - x*k. Solve 0 = a*b + 5*s + 1 - 0, -4*s - 6 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yww when three letters picked without replacement from {u: 5, y: 5, w: 2}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 2*w = 840. Let d be 81\/w - (-2)\/7. What is the second smallest value in -3, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 135*d - 807 - 1158 = 4*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 2*v + 21898 = 0, -4*g + 4887 + 12634 = -v. Is g a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -2\/17 (c) 7 (d) -1.5 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q - 6. Let z(b) = b**3 + 14*b**2 + 27*b + 45. Let n be z(-10). Let d be 25\/(n\/(-42)) - -11. Calculate i(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 330, -5, 3, -16, 140 in decreasing order.\nAnswer: 330, 140, 3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 147*k*m**2*v**3 + 13*k*v**3 - 13*k*v + m**2*v**3 + 96*m**2 - 5*m + 5*v**3 - 3*v**2 wrt k?\nAnswer: 147*m**2*v**3 + 13*v**3 - 13*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -0.29, 2, -4, 1?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20244 is divided by 83.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-4)*(147\/(-98))\/((-7)\/(-224))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 8*i**2 + 18*i + i**3 - 27*i - 2 - 26*i - 2. Let j be w(4). Let r = 103 - 39. Calculate the highest common factor of r and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 48048*f*l**3 - 51*f*l**2 + 8*f*l - 4*l**3 - 22353*l**2 - 32 with respect to f.\nAnswer: 48048*l**3 - 51*l**2 + 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (-2*20\/(-80))\/(195\/(-30))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5599751*o**5 - o**3 + 214242486*o wrt o?\nAnswer: -111995020*o**3 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -x**4 + 3 - 304*x + 304*x - 2*x**2 - 12*x**3 as n*x**3 + l*x**2 + g + i*x + p*x**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 8*h**5*x**2 + 10820*h**5*x - 107605*h**2*x**2 + h*x**2 wrt h?\nAnswer: 480*h**2*x**2 + 649200*h**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 0.841097g?\nAnswer: 841.097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:28 AM and 12:04 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -z + 6*z. Sort z, -2, -5 in descending order.\nAnswer: z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 3628*b + 315575. Determine v(-87).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 89 + -19. Calculate the remainder when k is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((126\/(-48))\/(-7))\/((-33)\/176*60)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 33\/9604 and 57\/13342700?\nAnswer: 93398900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -1.97, -0.015, -3, 4, -2?\nAnswer: -1.97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j**3\/j))**45 assuming j is positive.\nAnswer: j**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i + 2*i**3 - 2*i + 4 + 4*i**2 - i**3. Let r = -3992 - -3987. Give z(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.75 and -0.06?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -45*10\/25 - -8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -37107272 + 37107272 - 18374*i to the form z + o*i and give o.\nAnswer: -18374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 17, 5, 0, -2.8, -2\/15, -3\/8.\nAnswer: -2.8, -3\/8, -2\/15, 0, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4, -27, -76, -157, -276, -439?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -102, -100, -98, -96, -94?\n\"Answer: 2*q - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 302.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = -47 + 104. Let s = -45 + l. Suppose -4*d = -3*d - s. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Let r be 81\/15 - 6\/15. Let q = r - 2. Suppose -q*c = -o + 7, 2*o = -3*o - 2*c + 35. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -8190 divided by 182\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x**21*x*x*x*x**(-8))\/(x**9\/((x**(-1\/3)*x)\/x)) assuming x is positive.\nAnswer: x**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3241.\nAnswer: 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 75*b - 29. Let o(y) = -152*y + 63. What is -13*n(d) - 6*o(d)?\nAnswer: -63*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s + 3*z = 24, -30*z + 40 = -5*s - 25*z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 667\/7 + -15107\/28. Let u = x + 444. Which is the nearest to u? (a) -36 (b) -2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y**3 + 6 - 6)*(-425 - 94 + 217 - 478)*(1 + 1 + 1).\nAnswer: 4680*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2533, -2524, -2509, -2488, -2461, -2428, -2389?\nAnswer: -2344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**4\/4 + 11*j**3\/2 + 3*j**2\/4 - 16*j - 11.\nAnswer: -(j - 22)*(j - 2)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 683684 is divided by 152.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 17 = -2*x + 40, 3*x - f = 15. Suppose 2*u + 33 = 33. Solve -3*c = -u*c - x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = 2 + 3, -4*o - 3*y = -79. Suppose 0 = -3*i - 2*f + 10, 0*f - o = -5*i - 3*f. Factor -4*u**4 + 1 - 8*u**5 + 1 - 4*u**3 + 2*u**i + 5*u + 7*u**5.\nAnswer: -(u - 1)*(u + 1)**3*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -124*c + 4*c**2 + 124*c.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 12 = 2*o - 3*x, 2*x + 4 = 0. Suppose -1766*i + 1764*i - 4*c - 30 = 0, 36 = -i - 5*c. Sort i, o, 4, 3.\nAnswer: o, i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 3, 3\/2, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 517 minutes before 7:31 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1217 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 1. Let o(c) be the third derivative of c**4\/12 - c**3\/2 - 50*c**2. Determine o(k) - 2*v(k).\nAnswer: 2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 528006000 = 2*t. Round t to the nearest one million.\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 61739183 and 0.13?\nAnswer: 8026093.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -0.5, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -510641*w. Let t(r) = 648*r. Calculate 5*d(a) + 3941*t(a).\nAnswer: 563*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q**2 + 3*q + 10. Let y be u(10). What is the tens digit of (y\/(-40))\/((-3)\/(-184))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*x - 179*x - 73*x = 3080 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*p = 21*p + 3*p. Let w(q) be the second derivative of 2\/3*q**4 + p + 14\/3*q**3 - 3\/5*q**5 + 4*q**2 - 6*q. Factor w(i).\nAnswer: -4*(i - 2)*(i + 1)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1844\/7 + -264. Which is the closest to 2\/7? (a) d (b) -5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 135 and 945.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -46*p - 917. What is v(-25)?\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -578*g - 5*g**2 - 569*g + g**4 + 1164*g + (-g + 4*g - g)*(g - 2*g**3 - g) + 3*g**4 - 5*g**4 + 4*g**4 as h*g**4 + w*g + n*g**3 + f + i*g**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -208618, -417306, -625994?\nAnswer: -834682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 555 divide 13312230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 4640361770?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:39 AM and 1:33 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v when two letters picked without replacement from kdcaakkkdkdvkkkdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 11, -1\/5, -11, 2\/11 in decreasing order.\nAnswer: 11, 2\/11, -1\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 261 and 381.\nAnswer: 33147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k + 39 - 174. Let q be 8\/(-6) - 3379\/(-93). Calculate the remainder when k is divided by 150\/q - (1 + 25\/(-35)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*d**4 + 1145*d**3 + 1150*d**2.\nAnswer: -5*d**2*(d - 230)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 72, 242, 516, 894?\nAnswer: 1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**2 - 10*q - 5. Let j be (1 + -2 - -10)*-1. Let g be z(j). Let t = -6.5 - -6. Put g, -3\/4, t in descending order.\nAnswer: g, t, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of ((-208)\/(-39))\/(2\/6) and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 + 91 = 11*j. Solve 25 = -j*y + 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8784641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -13 - -18. Let l = -611 + 608. Which is the nearest to -0.1? (a) f (b) -1\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -35 (b) 3\/7 (c) -1\/3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 697338, 697341, 697346, 697353?\nAnswer: 697362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 29565600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 173085 and 126929?\nAnswer: 1903935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/76 in 6, -2\/3, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/7? (a) 3 (b) -43.93 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of p*y**3 - 47*p*y**2 + 406*p*y wrt y?\nAnswer: 6*p*y - 94*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 - -4. Suppose -4*p = -12, 3*z - y*p + 11 = 4*z. Sort -2, -1, z in ascending order.\nAnswer: -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 0.1, -27, 0.04, -21\/17?\nAnswer: -21\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1*(-1 + 4 + -8). Suppose 3*p - 3*f - 3 = 5*p, -4*p - 4*f = 4. Sort p, -3, -2, i in decreasing order.\nAnswer: p, -2, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4\/(-18) + 222\/27. Let v be (4\/d)\/(1\/2). Suppose 0 = -4*m + 3*a + 31, 5*a + 3 + 30 = 4*m. Calculate the greatest common divisor of v and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 708*d = -4339 + 32659 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 674.9245mm in centimeters?\nAnswer: 67.49245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1255 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 g = -143 + 99. Does 22 divide g\/(-6)*(-2 - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 5, o: 3, a: 4}. What is prob of picking 3 o and 1 a?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 195.0617 rounded to 1 dp?\nAnswer: 195.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = 3, 0 = 103*g - 110*g + 4*o + 55540. What is the highest common divisor of g and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.0124 in -2\/19, 4, 0.8, -2\/11, -12, -1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (30\/(-50))\/((-66)\/(-110)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {z: 3, u: 2, r: 4, w: 6, b: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 5*l - 17, -2*h + 11 = 3*l - 0*h. Suppose d = 0, j - 108 = -l*j + d. Differentiate 4*g**4 - 25 + 80 - j + 4*g**4 with respect to g.\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 135\/54*4\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1077 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 712601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = 2 + 6. Let u = g + 13. Suppose -3*m = 4*b - 874, -m = 5*b - u*m - 1077. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 328 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: Suppose 3*o - u = u + 30, 4*o = u + 40. Let a be 1*(158\/o + (-1)\/(-5)). Let f = a - 14. Let v(z) = -2*z**2 + 2*z + 2. Give v(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -2199965 = -2199966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 9*v + 11. Let m be w(-9). What is the common denominator of (13\/26)\/((-30)\/(-124)) and 153\/m + 6\/21?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 56 = -3*a, 12 = a + 3*o - 2. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26740231.\nAnswer: 7, 127, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.1697 * -0.4352\nAnswer: -0.07385344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 49\/4 (b) 9 (c) -2 (d) 79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.065 and -68.\nAnswer: -67.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 87 - 193. Let g = 778510.9359927 - 778616.936. Let m = k - g. What is m rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1424 - 0.1.\nAnswer: -1424.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s = -5*f + 25, -969*f = 2*s - 977*f + 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 17 - -27?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 648388 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -138.44 - -137. Round d to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) be the first derivative of 41*z**3\/3 + z + 14. Differentiate v(m) wrt m.\nAnswer: 82*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(22)\/(sqrt(396)*1 + sqrt(396)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 8) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -363, -81, 199, 477?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -p**3 + 3*p**2 + 4*p - 5. Let q(z) = -2*z**3 + 6*z**2 + 37*z - 2. Let x be q(6). Calculate w(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 406 = -65*y + 72*y. Calculate the least common multiple of y and 18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f**2 + 2. Let d be l(-1). Let t(r) = 4*r - 12 + 11*r + 19*r - d. List the prime factors of t(4).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-2\/3)*w\/(((((w*w*w\/(w\/w**7)*w*w*w)\/w*w)\/w)\/w*w)\/w))\/(w\/w**(-1\/7)*w**5))**(-3\/5) assuming w is positive.\nAnswer: w**(332\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 5*z = -14. Is (-3 + z + 20)*16\/6 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ggt when three letters picked without replacement from ggjtttttquutquvvtq?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 882\/(-70)*(-3)\/6*(-1)\/((-7)\/35)?\nAnswer: 63\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**3 - 7*b**2 - 8*b - 7. Let f = 10 + -16. Let q be d(f). Let c(l) = l**2 - 5*l. Let h be c(q). Solve 0 = -s - h*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 48*(3\/(-1) - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -46*y + 463. Let t be j(10). Solve 5*l - 6 = t*x, -4*x - 2*l - 4 - 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 152 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/((1\/4)\/((-9)\/594)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1125, 2371, 3617, 4863, 6109?\n\"Answer: 1246*f - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*h - 5*h. Solve -3*b + 6 = 3*f, b - 4*b - f = h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 200842 is divided by 100412.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**3 + 6*j**2 + 3*j - 5. Let t be o(-4). Let x be 28\/t - 5\/25. Which is the biggest value? (a) x (b) 2 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 369083*z + 197 = -4*s + 369078*z, 3*s - 4*z = 139 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from riiiiiiiiiiiiriiiii. Give prob of picking 1 r and 1 i.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/2 of a milligram in micrograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2731 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the third derivative of p**7\/490 + p**6\/280 - 3*p**5\/140 - p**4\/56 + p**3\/7 + 7*p**2. What is x in k(x) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1*0\/(2 - 0). Let n(c) = 3*c. Let i be n(1). Let m = i + z. Solve -4*o - m = 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9655 divided by 900.\nAnswer: 1931\/180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n. Let c be 4*3\/(-12)*5. Let i be -3*(0\/(-1) + 1). Let s(u) = -2*u. Determine c*m(x) + i*s(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iot when three letters picked without replacement from {i: 2, b: 1, h: 1, x: 2, o: 4, t: 5}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 165*r - 2364 + 549 = 0. Solve 3*m - 2*f = 1, 58*m = 61*m - 5*f + r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -31539 and -11.\nAnswer: -31550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -274369550 to the nearest ten thousand.\nAnswer: -274370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1462.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 7 - 18)*(0*z + 2*z - z).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 2*f + 5*q, 0*f - f - 3*q - 5 = 0. Suppose -2*u + b + 23 = 2*u, -5*u - 3*b + 16 = 0. Solve -u*z - 5*i + 5 = 0, 0 = 2*z - f*i + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 72 = -3*z - x, -z + 22 = -2*x. Let c = z + -22. Let n be c\/3*(-396)\/(-24). Calculate the greatest common divisor of 242 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4 - -7) + -6 - 4) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 18358 + -16741. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3 + -1. Let d(p) = -6 + 36 + 3*p**2 - p**2 - 4*p**f. Let n(i) be the third derivative of -i**4\/24 - 388*i**2. Determine d(n(g)).\nAnswer: -2*g**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from uuujufuuuuuuffu.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -15234145 - -50?\nAnswer: -15234055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1188, 1173, 1158, 1143?\nAnswer: 1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -124*b**3 - 32*b**2 - 32*b. Let p(u) = 19*u**3 + 5*u**2 + 5*u. Give -5*j(y) - 32*p(y).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1616 = 4*p + 384. Let h be (-7)\/(p\/(-8)) + (-20)\/(-11). Solve 3*b - 13 - h = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 4, 2\/3, 1\/9 in descending order.\nAnswer: 4, 2\/3, 1\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 288, -5, 3\/2, -1\/6, 0.03?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x**4*x*x)\/(((x*x\/x**(-3\/2)*x)\/x)\/x)*(x\/(((x\/x**(1\/12))\/x)\/x))\/((x*x**(-6))\/x) assuming x is positive.\nAnswer: x**(151\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 5*h**3 + 4*h**2 + 3*h + 4. Let u(k) = k**2 + k + 1. Let a(w) = -c(w) + 4*u(w). Let s = 0 - -1. Determine a(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2\/9*w**2 + 10\/9*w + 4\/9 - 4\/9*w**3 = 0. Calculate w.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5248\/15 - 350. Sort 5, p, 2, -4\/3 in increasing order.\nAnswer: -4\/3, p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*q + q**2 + q**2 + 5*q + (-51 + 52 - 37)*(4*q**2 - 5*q**2 - 2*q**2) + (q**2 - 2*q**2 + 5*q**2)*(-2 + 2 + 2).\nAnswer: 118*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2b6 - 4ca?\nAnswer: -791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = -830\/31 - -11623\/558. Let w be ((-365588)\/(-220))\/(6\/45). Let k = w + -12467. Find the common denominator of r and k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 76 - -47. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1374\/7 + 22476\/119. Let n = 725\/68 + q. Find the common denominator of n and (1\/(-13))\/(4\/76).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4\/19, 2\/13, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 0.1, 4, 0, 74?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -292115 (base 10) in base 14?\nAnswer: -78655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ndwr when four letters picked without replacement from nwdrwrnrrnxd?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-59)\/2*(-4)\/(-3). Let g = -463\/12 - b. Let v = -2045.4 + 2045.1. Sort g, 1.4, v.\nAnswer: v, g, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.5 - -6.5. Let i = -5.84 + d. Round i to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((t\/((t*t*t\/((t*t\/t**(-2\/5))\/t))\/t*t))\/t)\/t)\/t)**(-3\/13))**(4\/9) assuming t is positive.\nAnswer: t**(24\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -749*g + 1306*g - 705*g to the form d + u*g and give u.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2948 and 4004?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 124688 rounded to the nearest one thousand?\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*b - 54 = 5*b. Suppose b*j + 5 - 21 = -m, -5*m = -4*j + 22. Solve -2*o = 3*r + 13, r + r = j*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 7559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -r + 7, 3*r - 2*p = -7*p - 11. Solve 0 = -5*k - 3*d + 3, 5*k - r + 2 = -d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -2*j**3 - 46*j**2 - 53*j - 53. Determine c(-22).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y**2 + 1. Let r(p) = 20*p**2 + p - 4. Let g(j) = 3*l(j) + r(j). Is g(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes after 12:17 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b**3 + b**2 - 4*b + 9. Let j be t(0). Suppose j*u - 135 = 14*u. Is u at most -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1985 is divided by 289.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o**3 - 6*o**2 - 6*o - 3. Let h be i(7). Suppose 126*b - 2523 = 15*b + 1584. Solve -v = h*v - 3*q - b, -4*v + 16 = q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3159)*-1*-5)\/(2*sqrt(12)\/sqrt(4)*2).\nAnswer: 45*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 3, l: 7}. Give prob of sequence ol.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**3 - 5*v**2 - 19. Let h be d(-5). Let z(q) = q + 65. Let b be z(h). Calculate the highest common divisor of 23 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 19\/46640 and -119\/40?\nAnswer: 46640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 242041062 to the power of 1\/2, to the nearest integer?\nAnswer: 15558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = -95.7 + 95. Sort i, 4, -4.\nAnswer: -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1904 - -1909. Let q be 2*(-4)\/24 - (-64)\/12. Solve 0 = q*u + u - t*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -560 + 2877*w - 357*w**2 + 2418*w**3 - 1124*w**2 + 47*w**2 - 2421*w**3 - 880.\nAnswer: -3*(w - 1)**2*(w + 480)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3179 is divided by 243.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be 852\/(-10) - (-4)\/20. Let h = 165 + w. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 5*(-16)\/(-80) + (-2 + 1 - 25)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0060153629 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h - 6 = -5*q, -2*h - 2*q - 4 = 3*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 2*b - 12. Let a be s(10). Let t be a\/(-6)*15\/(-10). Let 6 - 8*g + 0*g**2 + 1 + 2*g**t - 1 = 0. Calculate g.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -146694 divided by -6.\nAnswer: 24449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*i**3*q**2 + 51*i**3*q*r - 12*i**3*q - i**3*r**2 - 325*i*q**2*r**2 + 52*i*q**2 + i*q wrt q.\nAnswer: 6*i**3 - 650*i*r**2 + 104*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 34*k**3 + 2*k**2 - k. Suppose 2*n + 6*m - 23 = 3*m, -5*n - 2*m = -74. Let u = -15 + n. Is j(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -303 (base 11) to base 10.\nAnswer: -366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -21 - 0. Let u be (24 + -20)*(-3)\/42. Is u at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6, -107, -272, -507, -818, -1211, -1692, -2267?\nAnswer: -2942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the first derivative of 5*d**4\/2 - d**3 + 165*d**2\/2 - 14498*d - 1906. Differentiate g(h) with respect to h.\nAnswer: 30*h**2 - 6*h + 165","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the third derivative of a**6\/120 - a**5\/60 + 3*a**3 + 284*a**2. What is r(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 470*o + 5921. What is the remainder when n(-12) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -6614 (base 7) to base 9.\nAnswer: -3215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 719 + 661. Does 27 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*z + 0*z - 2*z**3)*(-2*z + 111*z**2 - 2*z - 108*z**2).\nAnswer: -6*z**5 + 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 119918 and 5338.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (789*r**2 - 789*r**2 - 433*r**3)*(0 + 0 + 4*r) as v + h*r**4 + d*r**3 + x*r**2 + a*r and give h.\nAnswer: -1732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s**3 + 6*s**2 - 4*s. Let o be t(5). Let y = -0.5 - -0.3. Let k = 0.2 - y. Which is the second biggest value? (a) k (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:51 PM and 11:42 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -3*h + 3. Let l(v) = v - 1. Let d(w) = -2*b(w) - 2*l(w). Let r = -2 - -7. Is d(r) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -152115, -304368, -456621, -608874?\n\"Answer: -152253*v + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*v + 2*v - v + (1 - 1 + 2)*(3*v + v - 3*v) + 5125*v - 2194*v + 1951*v to the form l + x*v and give x.\nAnswer: 4883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -1597*x + 7994. Calculate u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3.5 - -3. Let m = -0.4 - k. Is m at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**9*x*x)\/x**13)\/(x*x*x\/(x\/x**(-1)))**32)**46 assuming x is positive.\nAnswer: x**(-1564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sqqg when four letters picked without replacement from qgssqqgqgssssyggqqqg.\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2, -5, -10, 7, -3 in increasing order.\nAnswer: -10, -5, -3, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1086280074.\nAnswer: 2, 3, 11, 47, 113, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4598\/5 - (-82)\/205. Let l = j - 10084\/11. Which is smaller: 4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*d - 2*d - 574 = 0. Let q = -77 + d. Solve -q*a - 4 = -2*t, -t - 3*a = -8*a - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.401003565 to four decimal places.\nAnswer: -0.401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12 + h**3 + 2*h**3 + 12 - h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 7871933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes after 8:33 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 79284705?\nAnswer: 3, 5, 5285647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - (-2 - -2 - -9)) + 257 + -313 - -5?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2453989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 52667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1092 = -46*n + 4*n. Suppose -4*w = 2*s - 1634, 3*s - 22*w - 2457 = -n*w. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4\/(-7) + -535*(-13296)\/420.\nAnswer: 2, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3174 = -443*f - 8047 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23105 is divided by 7462?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44227313 is divided by 5528413?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 2*z = -32, -23*z + 25*z + 6 = 0. Calculate the greatest common factor of p and 1261.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1231401 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**7*t)\/t*(t\/(t\/t**(-4))*t)\/t)\/(t**(4\/7)\/(t\/(t**(-2)*t))) assuming t is positive.\nAnswer: t**(31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*(y*y\/(y*(y*(y**(-15)*y)\/y)\/y*y))\/y)\/(y\/(y**6*y)) assuming y is positive.\nAnswer: y**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve a**3 + 465*a**2 + 54288*a + 53824 = 0 for a.\nAnswer: -232, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find b such that 2\/3 - 2273\/3*b - 2275\/3*b**2 = 0.\nAnswer: -1, 2\/2275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -3269*n**3 + 4514*n**2. Let x(b) = -1634*b**3 + 2258*b**2. Let h(r) = 3*k(r) - 5*x(r). Find the third derivative of h(m) wrt m.\nAnswer: -9822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*x - x + 4*x)*((-3*x + x + 4*x)*(0 + 0 - 2) - 275809 + 168*x + 275809) in the form r + u*x + n*x**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 + 2. Let m be (4 + (-15)\/4)*v. Let 1\/2*u**2 - m*u + 0 - 1\/4*u**3 = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -33.68*-1.\nAnswer: 33.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = -219254 - -219257. Suppose 16\/9*b + 8\/3 - 2\/9*b**i - 2\/9*b**2 = 0. Calculate b.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4 + (-25)\/5 + 1521. Let s = -230 + m. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*o - 4*q - 5*q + 4*q - 26 = 26, -26*o - 5*q + 311 = 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**3 + 5*l**2 + 7*l - 1. Let r be 6\/(-15) - 32\/(-5). What is the units digit of t(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 * 23.6.\nAnswer: 4.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -17562, -85, 0.2 in descending order.\nAnswer: 0.2, -85, -17562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from djtjjuu. What is prob of picking 1 d and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 3*y = 3. Suppose 3*i + 5*u - 20 = 0, -3*i - 3*u = -0*i - 24. Let c be -1*i\/5 + 15. Solve -y*x = 4*a - c, 0 = -a + 3 - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -273980\/3033 + -1\/3033. Is -91 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 883 divide 2575878770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = 0, 5*w - 5*b - 256 - 84 = 0. Solve -69*c - 2 = -w*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 18\/1*(-24)\/(-1392)*-29\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.268, 13, 2, -0.3, 3, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 2908, 293, -2316, -4919, -7516, -10107, -12692?\n\"Answer: 3*d**2 - 2624*d + 5529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4.4 - -8.83. Let c = 4.33 - i. What is the nearest to 25 in 5\/4, -1, 0.3, c?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -155*n**2 + 186*n**2 + 189*n**2 + 2*n - n**3 to the form v*n**3 + s*n**2 + k*n + x and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 6186, 12345, 18514, 24699, 30906, 37141, 43410, 49719?\n\"Answer: g**3 - g**2 + 6155*g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 259 = 31. What is the derivative of -47*u**4 + 9*u**4 + r + 50 wrt u?\nAnswer: -152*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 129338676 a multiple of 1206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1861 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 26*h**3 + h**2 - 2*h + 1. Let n be q(1). Suppose i - 3*v + 5*v = -n, -70 = 5*i - 5*v. Let k = i + 32. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 136 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 t and 1 x when four letters picked without replacement from ttjtitititxt?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 d and 1 g when four letters picked without replacement from {t: 3, d: 4, g: 1, l: 2, y: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -7635*n + 5301. What is the units digit of r(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*u + 3*a + 8 + 19, 0 = 2*a + 10. Let h(b) = -b**3 + 4*b**2 - 5. Let g be h(4). Let n = g - -3. Put -1, u, n in increasing order.\nAnswer: u, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 3*z**2 - 3*z**2 + 7*z**2 + 16*z + 3 + 23. What are the prime factors of w(-12)?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 80 + 7*g - 24 - 25 - 24 - 23.\nAnswer: 7*g - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*a**3\/4 + 1175*a**2\/4 + 5*a\/4 - 1175\/4.\nAnswer: -5*(a - 235)*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:59 AM and 9:45 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2 + 1132 - -1 - 39\/13?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the first derivative of 3*i**5\/20 - 3*i**4\/8 + i**3\/4 + 24. What is s in n(s) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5\/4, -168, 28\/39?\nAnswer: 28\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y + 19. Let l be m(8). What is the highest common factor of 675 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -9244 + 17700. Is h a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is s in -s**4 - 22*s**3 + 27*s**2 + 88*s - 92 = 0?\nAnswer: -23, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 8052 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: Round 396801000 to the nearest 1000000.\nAnswer: 397000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-12 + 18)*(-56)\/6. Let c = 59 + o. Calculate the lowest common multiple of c and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the first derivative of -5*i**2\/2 + 81*i + 799. Determine a(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.1, 9\/28, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1216 is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 40*y**2 - 18*y**2 + 6*y**3 + 0*y**3 - 19*y**2 in the form q + n*y**2 + h*y**3 + w*y and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange x**2 + 4 - 6 + x + 7*x**2 to the form o + j*x + s*x**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3 - 1581?\nAnswer: -1584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65 - 57 = 2*i - 4*l, -4*l + 4 = -i. Let y(j) = 4*j - 30. Calculate y(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 567 by 1.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**2 + 20*h - 9. What is k(-15)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 162 = k, -17*k + c = -19*k + 317. Let s = -156 + k. Let q(t) = -t**3 + 2*t**2 + 3*t + 2. Determine q(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 46*a + 8 - 100 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*j + 3*b - 16, b - 1 = 3*j + 7. Let y be (-5 - j) + 6\/2 - 0. Is (-3 + -11)*(-4 - (-3 - y)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1134, -9016, -30394, -72012, -140614, -242944, -385746, -575764?\nAnswer: -819742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3138*w - 448 = 3122*w. Calculate the remainder when 371 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -816*r + 2451. Give l(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(204)*2*-2*-6)\/((-1*sqrt(3456))\/(5*sqrt(8)\/sqrt(4))).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 72192.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 461 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 20040773 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 1 + 1 + 5*o + 4 + 3*o. Suppose 28*r - 975 = -11*r. What is the hundreds digit of g(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -24 + -41442?\nAnswer: -42021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 9\/2 in -3\/2, -5, 1, -21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**3 - 4*b**2 - 125*b + 167. Determine o(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -w**2 - w + 2. Let o be q(-2). Let v(z) = 1231*z + o + 0 - 3856*z. Let n be v(-8). What is n rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -2.6 (b) 11 (c) -7 (d) 2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xoooxoo. What is prob of sequence oxoo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) 5487 (b) -0.4 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 9) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -4\/5*q**2 + 4\/5*q**4 + 1\/5*q**5 - 3\/5*q + 2\/5*q**3 + 0 = 0. Calculate q.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*15\/12*(-8)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - 3 - (14 - (-7 - -42))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 19741 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.72 + -0.22. Let s = 18.76 + -18.84. What is the nearest to 0 in l, s, 1, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 169076 < 169075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 4290604181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -29 - -34. Suppose t*o - 240 = 5*r, 2*r = -30 + 36. What is the remainder when o is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, e: 1, p: 4, n: 1}. What is prob of sequence enl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z**2 + 8*z + 8. Let r be m(-6). Let v be (-6)\/r + (-2 - -1). Let n = -0.02 - 0.08. Which is the nearest to n? (a) 0.3 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 5, 7, -2\/9, -0.1059 in decreasing order.\nAnswer: 7, 5, -0.1059, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 204209900 and 5652.\nAnswer: 1837889100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 44, -2 in descending order.\nAnswer: 44, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((57*(-16)\/30)\/(-2))\/(1444\/361).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + (5 - 7) + -1 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2)\/7 + (-142)\/(-7). Let p be (1 + 0)*0 + 6. Suppose p*r - 11*r = -d. Solve j = 5*j - r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -86117*a*q**3 - 66310*a wrt q.\nAnswer: -258351*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 134236026*y**2 - 19*y - 158558 wrt y.\nAnswer: 268472052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -e (base 16) to base 11\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 16 = -5*w. Let l(i) = -i**2 + 3*i + 2. Let t be l(4). Let z be (-2)\/(0 - t)*-1. Let y(j) = j + 1. Let u(s) = -2*s - 2. Give w*y(b) + z*u(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) be the second derivative of -4\/3*v**3 + 0 - 7\/2*v**2 - 1\/12*v**4 + 3*v. List the prime factors of c(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -87\/4 or 188?\nAnswer: -87\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -2949*q**3 - 4*q**2 + 4. What is the smallest common multiple of x(-1) and 2?\nAnswer: 5898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 21 = h + 4*h, 0 = -4*h + r + 15. Suppose 5*l - h = 2, 2*l = -2*w + 8. Solve -s + 17 = -3*d, d + w = -d - s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 142 + 230 = 3*n. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -770, -2027, -4304, -8111, -13958?\n\"Answer: -85*t**3 - 662*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -36544.2 less than 18766311?\nAnswer: 18802855.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -5*k**2 + 4*k - 1. Let j = 8 - 7. Let w(h) = -10*h**2 - j - h**2 + 5*h**2 + 6*h - 2*h. Let c(d) = -7*a(d) + 6*w(d). Calculate c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.1 from -341.318796372.\nAnswer: -341.218796372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -5*n + 13. What is the least common multiple of j(2) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k = -3*y, 5*k + 6 + 9 + 12 = 27 - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 115469 or 115467?\nAnswer: 115469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -763109.329 + -6147.\nAnswer: -769256.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 122 = 106. Let m = c + 6. Let y(p) = p**3 - 2*p**2 + 3*p - 3. Give y(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (40\/176)\/(((-579)\/1351)\/(33\/(-14))).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h - 4*b = 14, 196428 - 98222 - 98213 = 7*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 3 = 3*i + i, 0 = 5*i - 2*v - 6. What are the prime factors of 11 + (3\/(-3) - i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -3319.583 and -0.36?\nAnswer: 3319.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 2*f + 3*f**2 - 1 - 2*f**2 + 0*f**2. Let r(c) = c**3 + 8*c**2 + 8*c + 5. Let m be r(-7). What is d(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n**2 + 6*n - 6. Let m be x(-6). Let k be 6\/((-3)\/m*-3). Let w be k\/14 - (-88)\/14. Solve 0 = h - w*h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -1.24, -846 in increasing order.\nAnswer: -846, -1.24, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 12693295 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 15073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x**2 - 35*x - 17. Determine u(-32).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -6404, -6404, -6396, -6374, -6332, -6264, -6164?\n\"Answer: r**3 - 2*r**2 - r - 6402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**2\/3 - 70044*s + 12197748.\nAnswer: -(s - 174)*(s + 210306)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5.81815 + -5.83. Round k to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -13\/3 + 4. Let p(l) = -2*l + 2. Let w be p(3). Let g be (3*(-7)\/(-105))\/((-44)\/(-55)). Which is the smallest value? (a) -3 (b) w (c) g (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(70) - (sqrt(70) + sqrt(70)*1 + sqrt(70))))\/sqrt(10).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4 + -3. Let w = 2.4 + -5.4. Which is bigger: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange d**4 + 2 - 4*d**4 + 4*d**4 - d + 9*d**2 - 2*d**3 + 17*d**2 to the form u + z*d**3 + v*d + n*d**4 + b*d**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d be (48\/(-3))\/(1\/(-22)). Let i = -179 + d. Is i a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1010110 (base 2) in base 5?\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 69172076.\nAnswer: 2, 29, 107, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - -2 - 12 - (-3 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3146.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*c**2 + 133980*c - 669775.\nAnswer: -5*(c - 26791)*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 231351?\nAnswer: 3, 67, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g**3\/2 - 100*g**2 + 24726*g - 1082952 = 0. What is g?\nAnswer: -356, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a*a*a**(-13)*a)\/a*a)\/a)\/a*a**(-1\/21)\/a assuming a is positive.\nAnswer: a**(-274\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -3080896 by 5.\nAnswer: -3080896\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 444240.\nAnswer: 2, 3, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than or equal to -1416\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-15))**(-21)*(y**(12\/11)\/y)\/(y**(-43)\/y*y) assuming y is positive.\nAnswer: y**(3939\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 10, 11 in descending order.\nAnswer: 11, 10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/5898 and -31\/24?\nAnswer: 23592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*k + 10 - 28 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 146567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -253*m - 24079. What is d(-97)?\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -5136 by -1712.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -n**2 - 12*n - 4. Is z(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3584 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the second derivative of -h**6\/6 - h**5\/10 + 661*h**4\/12 - 199*h. What is the third derivative of g(z) wrt z?\nAnswer: -120*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 1428 = 2*n - 130, 3*b + 2*n = 934. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -13*w**3 - 2*w**2 + 4*w. Suppose 1556*l - 1554*l + 8 = 0. Let r(x) = -12*x**3 - x**2 + 3*x. Determine l*r(a) + 3*y(a).\nAnswer: 9*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 - 3 = 3*k. Find the third derivative of 8*d**4 - d**4 - k*d**4 - 3*d**2 wrt d.\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 5*o = 0, 0*o + 5 = -2*s + 3*o. Let u(f) = -f**3 + 63*f**2 - 184*f + 239. Let z be u(60). What is the tens digit of 4 - (-9 - z)*-25*s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 51, 183, 317, 453, 591?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*a**2 + 108*a - 465.\nAnswer: -3*(a - 31)*(a - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*y - 3*y + 3*y + (-y + 2*y - 3*y)*(-1 + 1 + 2) + 0 - y + 0 - 1 + 1 - 2*y + 2*y + 3*y - 3*y + 2*y - 13*y - y - 6 + 3 - y + 2 to h + m*y and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = 781 - 850. Let b be 0 + c\/(-15) - (-42)\/(-70). Suppose 0*i + 8 = 2*i. Solve -4*g + o + 17 = g, b = i*g + 4*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -2 (b) -0.04 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 7 - (-26 + 9) - (-18 - 49)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**3 - 5*c**2 - 3*c - 6. Let h be i(6). Suppose -3*r + 0*r = -h. What is the third smallest value in r, -5, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**3 - 6*b**2 - 25*b + 33. Calculate q(10).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by 327.\nAnswer: 2\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -3*r**2 - 24*r. Determine b(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.9505113 grams to tonnes.\nAnswer: 0.0000009505113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Do 24 and -0.16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 184251209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 57 + -30. Let k = p - 3. Calculate the greatest common divisor of k and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -242102232 (base 5) to base 15\nAnswer: -174547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 199 - 89 = -84*u - 562 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/((-210)\/28*(-1)\/6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12158 + -12159. Let y(g) = -g + 1. Let k(s) be the third derivative of -7*s**4\/24 + s**3\/3 - 2*s**2. Calculate j*k(b) + 4*y(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11 - 3. Suppose 0 = 19*y + 4*o - 134, -12*y = -15*y - 4*o + 38. What is the remainder when s is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -163*r + 4618. Let n(u) = -26*u**2. Determine h(n(c)).\nAnswer: 4238*c**2 + 4618","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(228)\/(sqrt(12)*-3))**2*-1 + -2.\nAnswer: -37\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**2\/11 + 5007*h\/11 - 233120\/11.\nAnswer: -(h - 4960)*(h - 47)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 67114.35 millennia in decades?\nAnswer: 6711435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 6*g. Let a(y) = y. Let p be (2 + 21\/(-6))\/((-6)\/(-472)). Let u = p + 121. Suppose -u*b = 4 - 1. Give b*j(f) + 2*a(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 393 + -260. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 25 - 20. Suppose 4*j - 190 = -5*m + 3*m, -230 = -q*j - m. What is the remainder when j is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -725, -426, -97, 262, 651?\nAnswer: 1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -19*t + 239 + 616. Let h be (-2*1 + 1)*-18. What is the highest common factor of t and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is j in 36*j**2 - 112*j + 80 = 0?\nAnswer: 10\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -34 in -0.5, -190, 1\/4, 0.02?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 2 c when three letters picked without replacement from sccseq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 256\/19 - 1631\/114. Sort 3, 4, h, 0 in descending order.\nAnswer: 4, 3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -j**4\/6 - 2*j**3\/3 + 3*j**2\/2 + 8*j\/3 - 10\/3 = 0.\nAnswer: -5, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -11\/13 (b) 0.2 (c) 0.4 (d) 1994 (e) 2 (f) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 162 is divided by 157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 2) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/24*3*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7\/(-2))\/(((-75)\/(-40))\/(-15)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 2, -33431 in increasing order.\nAnswer: -33431, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.59 + 0.44. Let o = g - 0.03. Is o bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*v - 4*v + 1 + 2*v)*(12 - 7 - 3 + v).\nAnswer: -2*v**2 - 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -744049?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = -86 - -74. Let t(w) = w**2 + 10*w - 18. Let n be t(v). Suppose 2*y + n = 0, -4*y = -5*q - 8*y + 793. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 22\/9? (a) 4\/7 (b) -86 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*d**2 + 12*d**2 - 18*d**2.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4 + 0 - 5*v + 5*v - 9*v**4 wrt v.\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/9? (a) 1\/7 (b) -6264 (c) -2\/5 (d) 9\/2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j - 10. Let y be v(-11). Let k(f) = -2*f**2 - 17*f + 9. Let c be k(-9). Put y, 2, -2, c in increasing order.\nAnswer: -2, c, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 2 w when three letters picked without replacement from vjwwvjqcvvqz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -16*i - 3. Let b be y(1). Let f = 312 - b. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -55 - 40627?\nAnswer: -40683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the third derivative of l**4\/24 - 3*l**2. Let n(y) = 9*y + 3*y + 2*y - 1. Calculate n(a(i)).\nAnswer: 14*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1 - -10241432323?\nAnswer: 10241432322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 163 = 2*w + 171. Let r be (36\/75)\/((-1)\/10). Are w and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -a**3 - 3*a**2 + a - 8. Let k be o(-4). Suppose -456 = -k*l - 0*l. What are the prime factors of l?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 445*q + 4 = y + 451*q, -4*q - 6 = 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-54)\/81)\/(2\/(-21)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2798*t - 18734 = 3349*t for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-1)\/(1358\/454 - 3)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 3*t + 109. Let k(g) = 8*g - 14. Let s be k(8). Let w = -50 + s. Let d be c(w). Round d to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -35 + 27. Let y be (78\/5)\/(b\/(-20)). Suppose 0 = -34*i + y*i - 130. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-12)\/f*f*(f\/(f**(3\/7)\/f))\/f)\/(f\/f**(-11)*f**(-8)))**(6\/31) assuming f is positive.\nAnswer: f**(-648\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 55 - 38. Suppose -3*g + 17 = -5*i, 2*i - y = -4*g - 3. Solve 3*b - b - g = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 4.5884 to 2 decimal places.\nAnswer: 4.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8, 13, 22, 35, 52, 73, 98?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000085940793 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*k + k + 3*k + (4*k - 4*k - k)*(4 + 1 - 3))*(-k - 2*k - 2*k)*(0*k - 3*k + 5*k)*(21 - 10 - 5).\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one fifths of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 3*k**3 + 4*k**2 - 6. Let c(u) = -8*u**3 - 11*u**2 + 17. Let x be 6 - (2 - (1 - -1)). Suppose 84 = -10*j + 254. Determine j*y(r) + x*c(r).\nAnswer: 3*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f = 3*f - 4*u - 171, 0 = -3*u + 9. Let k = f - -84. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 293326 divided by -146663\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5259301?\nAnswer: 5259301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -445*x - 4*a - 11 = -444*x, -4*x + 68*a - 464 = 0 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 144*c**4 + 103*c**2 - 49*c**4 - 48*c**4 - 26*c**6 - 48*c**4 wrt c?\nAnswer: -3120*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -57, -90, -137, -204, -297?\n\"Answer: -f**3 - f**2 - 23*f - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 183 is divided by 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1418627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46 = 5*n + 2*t, 3*n + 0*n + 5*t = -39. Let l be -42*6\/n*(-190)\/(-285). What is the highest common factor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 17*r - 18*r. Calculate the common denominator of r + 84\/9 + -3 and -35\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3192654 or 3192786?\nAnswer: 3192786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -337.414773 rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1884431 and 1385.\nAnswer: 9422155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 164080 rounded to the nearest one thousand?\nAnswer: 164000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a**3\/3 + 4*a**2\/3 + 46*a - 180 = 0. What is a?\nAnswer: -9, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 141147049*x + 6748887.\nAnswer: 141147049","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 2.871493 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*n + 29*n + 9 = 0. Let g be ((0 + 1)*0)\/1. Put n, g, 5 in ascending order.\nAnswer: n, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -10275\/7 - -30839\/21. Factor -z*j + 1\/3*j**2 - 1.\nAnswer: (j - 3)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 11, 53, 123, 221?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = -4*g - 2, -2*g = -4*a + 24 + 10. What is the common denominator of a\/10 - (-1083)\/(-330) and -9\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -822133, -822129, -822125, -822121?\n\"Answer: 4*o - 822137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = g**3 + 17*g**2 + 16*g + 74. What is m(-20)?\nAnswer: -1446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/(n**(-19\/4)*n))\/n)\/n**(-1\/11)*(n**(-1\/13))**(-2\/13) assuming n is positive.\nAnswer: n**(28649\/7436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 15) to base 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 2*p**3 + p**2 - 6*p + 6. Suppose -2 = 2*h - 3*o - 8, h - 3 = -5*o. Let j be l(h). Let f = j - -49. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 581624 by -10.\nAnswer: -290812\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -111 + 111.02. Which is the nearest to -0.1? (a) x (b) 0.5 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -25 + 26.6. Let m = x + -0.6. Which is the smallest value? (a) -5\/6 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 7*c**2 + 2*c - 4. Let v(r) = -7*r**2 - 2*r + 3. What is 3*m(l) + 4*v(l)?\nAnswer: -7*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**2 - 19. Give m(8).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*q + 907*q**3 + 0*q - 2*q.\nAnswer: 907*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 50 - 50.14. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + t - 4 = 0, t - 3*t - 2 = 0. Suppose c*p - p - 5036 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -21 + 20. Let h(v) = 16*v**2 - 3*v - 1. Let b be h(j). Let g = -14 + b. Solve -2*c - 4 = -i, 2*i - 5 = -g*c + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3\/4 (b) -0.2 (c) -0.6 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 33111, 132273, 297487, 528753?\n\"Answer: 33026*i**2 + 84*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15\/297*(-1565)\/(-7825).\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 15167 + 871?\nAnswer: 16148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**3 - r**2 + 12*r + 1. Let k(q) = q**3 + q**2 - 14*q - 2. What is 3*k(h) + 4*x(h)?\nAnswer: -h**3 - h**2 + 6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when -10 + 204\/21 - (-361360)\/70 is divided by 68.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 922 + -0.7\nAnswer: 921.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-30)\/(-4)*(-90)\/(-135)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k + 25, -2*f + 8 = 4*k - 2*k. Let o = f - 7. Let p be o\/((-7)\/((-105)\/6)). Solve 0 = m + p*r - 19, -m - 4*r = -2*r - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the second derivative of -3*g**5\/10 + g**3\/6 + 8*g. Let x be m(-1). Let z(a) = 12*a**2 - 7*a + 35. Does 14 divide z(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express h**2 + 29*h - 29*h + 2*h**3 - 7 as y*h**3 + i + c*h**2 + q*h and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be 10 + (4\/4 - 4). Solve -3 - h = -5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 3 + 4 - p**3 + 9*p**4 + 0*p**3 in the form g*p**3 + w*p + r*p**2 + h + n*p**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -37 + -4. Let g = -17 - j. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3.26 - 3.2. Is j less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*35.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -21 + 31. Suppose -4*v + 68 = -4*d, d = -0*v + 2*v - 35. Let j be v + (-6 + 3)\/1. What is the greatest common factor of j and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -170 + 169. What is the second smallest value in -0.2, c, -16?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41667?\nAnswer: 3, 17, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4 + 2 - (-8)\/8*311 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w, 1 i, and 1 l when four letters picked without replacement from xsiiwwl.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes before 5:11 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4 + 0. Let o(p) = 10*p**2 - 4*p + 4. Let j be o(3). Suppose -z - 32 = -2*m, z - u*z = -5*m + j. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0, 493 in decreasing order.\nAnswer: 493, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4216 - 4216. Sort b, -17, -0.04, 0.2 in descending order.\nAnswer: 0.2, b, -0.04, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + 6 - ((-33 - (61 + -21)) + (-4 - 9))\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-24)\/(-4)*(0 - 2). Let q be 0 - m\/(2 - -2). Solve 4*z = -2*y - 14, 0 = q*y + z + 2 - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2764 divided by -4\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 46*l + 119*l + 3549 = -108*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*k + 28*k = -4. Let d be 1\/(-1) - (24\/(-40) - k). Let o = -41\/10 + d. Which is smaller: o or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 143211 and -5.\nAnswer: -716055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 5*p - 7. Let o(c) = 1. Let q(a) = 4*o(a) + t(a). Let n(z) = 4*z + 3*z - 5 + 2*z. Let b(h) = 547*h - 8201. Let l be b(15). Give l*n(m) - 7*q(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - u**3)*(169*u - 318*u - 149*u).\nAnswer: 298*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**2\/3 + 80563298*u\/3 - 1622611246159201\/3.\nAnswer: -(u - 40281649)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**3 - 3*c**2 - 2*c + 1. Let l(s) = 4*s - 26. Let p be l(7). Calculate t(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes before 10:14 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 136 and 114342?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r - 2. Let j be p(4). Let c(o) = o**2 + 5*o - 6. Let m be c(j). Suppose m*z - 2*z = -10. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from snsnsnsnssnsn. Give prob of sequence ss.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n - 5*n + 1. Let f(z) = 6*z**2 + z + 124. Let o(t) = t**2 + 2. Let x(u) = n*f(u) + 2*o(u). Differentiate x(b) with respect to b.\nAnswer: 16*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5 + 5. Suppose -1 = -3*v + 11. Let n be -2 + v + -1 + -3 + 2. Is c bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y + 5*h - 20 = -3*y, -7*h + 117 = -2*y + 16*h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 585 = -4*z, 3*u + 157 = z + 491. Let c = u - 117. Let y(n) = 11*n + 45. Let p be y(c). Solve 12 = -4*g - 4*l, -g + 4*l + 11 = -p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 91\/612 and 151\/408?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Add together -2.48 and 35.\nAnswer: 32.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 1409 (b) 0.3 (c) -4 (d) 2 (e) -1.2 (f) -0.081 (g) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -11221204 + 0?\nAnswer: -11221204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p*p**(-2\/9)*p)\/p)\/(p*p\/p**(11\/5)*p)*(p*p\/(p**(-1)\/p)*p)**(-3\/13) assuming p is positive.\nAnswer: p**(-103\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 45246870 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b**3 - 263*b**2 + 1635*b - 140. Determine o(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 14200306 rounded to the nearest 100000?\nAnswer: 14200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 1171 divide 290816577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) be the first derivative of t**3\/3 - 1108. Let s(r) = r**2 - 2*r + 2. Give -6*k(b) + s(b).\nAnswer: -5*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 815.556164 and 0.3?\nAnswer: 815.256164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = w**3 + 3*w**2 - 2*w - 2. Let k be c(-3). Suppose -4*h + 3740 = 5*l - h, -k*l - h = -2999. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11 - -10.8. Let m = u + 0. What is the second smallest value in 4\/5, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11947 and 1381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -939*t = -935*t + 48. Which is the smallest value? (a) t (b) -2 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (4 - 522) + (0 - 1). What is the units digit of 2\/(-9) + t\/(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 41, 373, 1279, 3047, 5965, 10321, 16403?\n\"Answer: 48*w**3 - w**2 - w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 92, 249, 510, 875, 1344, 1917?\nAnswer: 2594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 5*r + 34614 = 0, 0 = 3*q + 4*q + 4*r - 80743. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/58712 and 99\/2296.\nAnswer: 410984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-2)\/(-4))\/(-20*13\/(-4160)). Let b(j) = -j + 4. Calculate b(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 925870683?\nAnswer: 3, 1187, 260003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 100*a + 18 + 16 - 34 + 3149*a in the form u + c*a and give c.\nAnswer: 3249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5\/120*6 - (-4)\/(-16). Put -3, -1, 13, p in decreasing order.\nAnswer: 13, p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*p = -4*p + 408. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.0187 - -0.0187. Let c = -57 + 52.2. Let o = c + 8.6. Is z less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 185, 519, 855, 1193?\n\"Answer: w**2 + 331*w - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 107\/143 + -1 + (-49)\/(4312\/32)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -399*b + 3175. Determine d(7).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 22 - 19. What is the fourth smallest value in -0.6, -0.2, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2\/3 - 22578751*i\/3 + 7526250.\nAnswer: (i - 22578750)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 2*d + 22. Let s be f(-6). Calculate the remainder when 64*(-3)\/(-6)*2 is divided by 624\/18 - (s\/15 + 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 762*o**2 - 45*o + 217. Is c(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 5*w + 4*f = -180, -5*w = -4*f - 222. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 121144 (base 5) in base 13?\nAnswer: 20bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + -12 - -4 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 239851?\nAnswer: 239851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 4 + 2 + (-3 + 0 + 1)*(-2 + 6 - 5))*(4*q**3 - q**3 + 0*q**3)*(q**2 - q**2 + q**2).\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the third derivative of -m**6\/200 - 13*m**5\/100 + 7*m**4\/20 - 66*m**2. Factor v(d).\nAnswer: -3*d*(d - 1)*(d + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 57252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 228.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 178*q - 57*q - 104*q - 45*q. Let m(i) be the first derivative of 2*i**2 + 1. Calculate m(z(r)).\nAnswer: -112*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10277, 22473, 38559, 60479, 90177, 129597?\nAnswer: 180683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = l + 4*c + 25, 39 - 29 = -2*c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -107, -331, -671, -1127, -1699, -2387?\n\"Answer: -58*t**2 - 50*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 323 - 1421?\nAnswer: -1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5791 divided by 4480.\nAnswer: 5791\/4480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3 + 7. Suppose p = -i + 2*i. Let w = i + 0. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 4*n = 65, 0*r = -2*r - n + 13. Suppose 3*a + 5 = 2*a. Let w = a + r. Calculate the least common multiple of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*q**2 - 156*q - 880 = 0. What is q?\nAnswer: -5, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -6985705 and -0.3799?\nAnswer: 6985704.6201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 11) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 291 = 194. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b + 89 + 73. What is the remainder when b is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -5*m**3 - 47*m**2 - 72*m + 37. Let g be a(-12). Which is smaller: 2777 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 83 divide 227273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = 5*b + 18, 4*l + l - 6 = -2*b. Suppose -a + 2 = -l*h, a + h = 2*a - 3. Solve 0 = 4*i - 2*i + a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 1602*m - 12. Let q(d) = -1595581*d + 11954. Let x(s) = 5977*c(s) + 6*q(s). Let f(l) = -l. Give x(f(w)).\nAnswer: -1668*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -979, -975, -969, -961, -951, -939?\n\"Answer: y**2 + y - 981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - w - 3*w = -304, -n - w = -150. Suppose n + 488 = 6*v. Calculate the remainder when v is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 113387911 divided by -178003\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 160350 and 2550?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be 177\/(-1770) - (-14)\/(-260). What is the nearest to 2\/5 in 2, -1, -175, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 455\/(-312) + 1\/8.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -45*z**3 - 14*z**2 + 55*z**3 - 1 - 19*z**3 in the form f + y*z + a*z**3 + x*z**2 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -16042437499 minus -0.3?\nAnswer: -16042437498.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the second derivative of -17*f**5\/60 + 35*f**2\/2 - 19*f. Let x(t) be the first derivative of c(t). Let z(q) = -q**2. What is z(x(v))?\nAnswer: -289*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*t**2 + 2*t + 14*t**2 - 4*t + 9*t**2.\nAnswer: 29*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.9 + 3.1. Let j be (280\/60)\/((-2050)\/15). Let x = j - 163\/1230. Sort o, 2, x, 1\/4 in ascending order.\nAnswer: x, 1\/4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 253636289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 2 g when four letters picked without replacement from ggogyogggg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -4*c - 16. Let o be p(-7). Let u(l) = 6 + 4 - l - 5. What is u(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iccxq. Give prob of picking 1 c and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -15868, 2\/5, 4, 18, -5 in ascending order.\nAnswer: -15868, -5, 2\/5, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 2682186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -3*v - 9, 2*v = -3*v + 4*a - 22. Let o be (-981)\/v - 2\/(-4). Suppose -o = -3*f + 2*z, -5*f + 2*z + 1407 = 582. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 15, 11, -2, 2 in descending order.\nAnswer: 15, 11, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f - 4. Let n be r(6). Suppose l + n*m - 1 = 3, -4*l - m + 16 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = -6*v + 30. What is the remainder when ((-14)\/v + 2)\/(2\/(-354)) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 7 + (-26 - (17 + -479)). Solve 456*w - x*w + 117 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence up when two letters picked without replacement from {p: 2, z: 6, b: 1, u: 2, i: 6, a: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 14, -4, -95\/83 in increasing order.\nAnswer: -4, -95\/83, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5682, 5673, 5654, 5619, 5562, 5477, 5358, 5199?\nAnswer: 4994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-312)\/(-3588)*(-46)\/(-1). Sort -359, 2, y, -5 in ascending order.\nAnswer: -359, -5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rbrrrbhirbjiiijhijip. What is prob of picking 1 r and 2 b?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -76 - 136 = -4*f. Suppose f = z + 64. What is the hundreds digit of (-1760)\/z - (1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) be the first derivative of -23 + 10*w**3 + 0*w - 1\/2*w**2. Let m(g) be the first derivative of -g**3\/3 + 2. Calculate m(b(a)).\nAnswer: -900*a**4 + 60*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 500 is divided by 610\/12 + 115\/690.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 7*t**2 + 10*t. Let r(i) = -7*i - 6*i**2 + 0*i - 2*i. Suppose -17 = -5*m + 3*s + 10, -4*m = -5*s - 32. Let j(d) = m*v(d) + 4*r(d). Factor j(b).\nAnswer: -3*b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 33 - 30. Solve 3*s + 3*d + d + 6 = 0, 4*d - 6 = n*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 697 a factor of 960466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d - 2. Let o be g(6). What is the common denominator of 5\/11 and (122\/o)\/(3\/2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 602625 (base 8) to base 10\nAnswer: 198037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/(-27)*(-27)\/(-3))\/(3\/1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:28 PM and 10:01 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 10, 3, 0, -1\/2529?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.026 and -4463281511353.\nAnswer: -4463281511353.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p be -2*10\/12 - -1. Suppose -5*d = -4*j + 21, 6*j - 5 = 4*j - 3*d. Suppose 0*k - 2*k - 5*z + 2 = 0, -5*k - 5*z = 10. What is the closest to p in k, j, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 62132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6742 is divided by 100.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.13, -1\/4, -0.6, -3 in increasing order.\nAnswer: -3, -0.6, -1\/4, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*a + 14*a + 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 17\/2 in 0.6, 0.03, -0.12?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 6*c**3 - 2*c**2 + 2*c - 1. Suppose 3*a + 1 = -3*m + 4*m, a = -4*m + 4. Let s be u(m). Solve s*i + 15 = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-8*v + 2*v - 3*v)*((0 - 1 + 4)*(-2 + 2 + 1) - 2218 + 3046 - 1760) to the form l + m*v and give m.\nAnswer: 8361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 118*k**2 + 1303*k + 26. Calculate l(-11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in a - 1252*a**3 + 1247*a**3 - a.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the first derivative of 0*w - 68 + 0*w**2 - 5\/3*w**3 + 155\/4*w**4. Find the third derivative of i(a) wrt a.\nAnswer: 930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 127 - 126. Let p = 3 + -3.1. Let g = 298 + -3280\/11. What is the nearest to p in g, o, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -2094318.952 and 1264.97.\nAnswer: -2093053.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:21 AM and 4:22 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*y = -y + 62. Let r(j) be the first derivative of 1\/2*j**4 - 16*j + 12*j**y - 4*j**3 - 4. Determine w so that r(w) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*m - 19 = 3. Let i(q) = -3439 + m*q**2 + 3439. Let x(r) = 11*r - 496 + 496. Determine x(i(c)).\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xmmx when four letters picked without replacement from {m: 2, u: 1, w: 1, x: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57*z = -51*z + 6. Let i be z + (8\/8)\/(1\/2). Sort -1, -12, i in descending order.\nAnswer: i, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, -5, 0.15, 0.06 in ascending order.\nAnswer: -5, 0.06, 0.1, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 307 - 302. Solve -3*t = 5*a - 1, g*a - 2*t + 4*t - 4 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 2*y + 2. Let a be r(1). Solve a*v = -v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -10*g - 6. Does 6 divide s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.021 - -0.479. Which is the second smallest value? (a) -3 (b) 2 (c) q (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3 + 26\/8)*1. Is d < -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -5226859, -5226865, -5226871, -5226877, -5226883, -5226889?\n\"Answer: -6*v - 5226853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {m: 2, e: 7, n: 1, r: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the second derivative of 11*x**6\/10 - x**5\/10 + 19*x**4\/6 - 652*x. What is the third derivative of l(c) wrt c?\nAnswer: 792*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-98)\/8 + 10)\/((-1)\/(-20)). Calculate the common denominator of (u\/150)\/(3\/(-14)) and 26\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -1b8 (base 14) to base 11\nAnswer: -2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 853.5808 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the first derivative of 4*t**3\/3 + 2. Let g(v) = v**2 - 9*v - 7. Let p be g(10). Let r(q) = 29 + p*q**2 - 29. What is d(r(h))?\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 73 + -591. Let v be 2\/4 + y\/4 + -1. Let n = v + 235. List the prime factors of n.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6\/(-10) - (-2 + (-18)\/5). What is the highest common divisor of 20 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -1656*d**3 - 2*d**2 - 2*d + 1. Is x(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 63 and 385.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -b**2 + 5*b - 4. Let s be q(3). Suppose s*y - 4 = -0*y. Solve k - 6 = y*w, -w = -5*k - 3*w + 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 125 = 5*q + 25. Let y(c) = -6*c**2 - 5*c**2 - 8*c**2 + q*c**2. Let s(r) = -2*r - 14. Let j(x) = 1. Let n(v) = 56*j(v) + 4*s(v). What is n(y(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -11, 28, 175, 490, 1033, 1864, 3043, 4630?\n\"Answer: 10*q**3 - 6*q**2 - 13*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 403243987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 315 = 5*j, -n = 4*j - 241 - 32. What is the remainder when j is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 3, b: 1, n: 1}. What is prob of picking 1 f, 2 b, and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9074883742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 37869\/4 - 20\/80 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r\/(r*r**(2\/3))*r)*r)\/(r\/r**(-17\/5)) assuming r is positive.\nAnswer: r**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*r - 3*j + 9, 3*r + 2*r - 3*j - 55 = 0. Suppose -122 - 46 = r*b. Is b at least as big as -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the second derivative of j**5\/10 + j**3\/2 + 3*j**2\/2 + 27*j. Let a be l(-2). Let s = a - -104. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -11.3 - -11. Suppose -4*z - 2*t = -4*t + 20, -2 = -2*z - 2*t. What is the third smallest value in x, z, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/770701 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(156) - (sqrt(156) - (sqrt(156) + 1*sqrt(156)*6)))\/(-6*sqrt(432)).\nAnswer: -7*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25359763.\nAnswer: 11, 13, 37, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 16479.76ml to litres.\nAnswer: 16.47976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 672 and 335264.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -1134041203 (base 5) in base 9?\nAnswer: -4867833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -361, 55\/18, -4\/5, -0.1 in increasing order.\nAnswer: -361, -4\/5, -0.1, 55\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - l = -4*u + 242, 5*l = 4*u - 202. Suppose -u = -3*x + x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 173097 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.78 + 0.88. Let r = 28 - 85\/3. Which is the nearest to x? (a) r (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53*y + 55*y - 105*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 42*d - 7 + 3 + 0*d + 5*d + 8 + d**2 to the form t*d + g + m*d**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 2*m**2 + 38. Let k(p) = -2*p**2 - 38. Calculate 7*k(c) + 6*r(c).\nAnswer: -2*c**2 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -769*y = 304*y - 1465*y + 5880 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be -73*(0 + -7) + -2. Let d = 5635 - 4422. Suppose 5*l = -4*f + d, 0 = -4*f + 2*l + x + 725. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -42 + (-26)\/((-624)\/504)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 4*f = -117 + 9, f + 72 = 3*s. Suppose -5*o + m = -m - 1904, -2*o + 764 = -2*m. What is the highest common factor of o and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1031*u**4 - 92 wrt u.\nAnswer: -4124*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 35 and 1599283?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(-2) + 1 + 1. Suppose k*d + 3 + 0 = 0. Is d not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ltq when three letters picked without replacement from {t: 1, l: 2, q: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 23*-1 - (3 + (67 - 70))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -471*i**2 - 72*i**2 - 265*i**2 + 132*i**2 - 386*i**2 to w + r*i**2 + b*i and give r.\nAnswer: -1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(12*(-2)\/21 - -1). Suppose 2*f - v = n, -3*f - 6*n + 30 = -3*n. Is 6 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5068?\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z be 6\/(-3) - 2267\/(-444). Let n = -488\/37 + z. Let y = -2\/4179 + -54283\/91938. Calculate the common denominator of y and n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000071734 to 6 decimal places.\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -1392.661 times -18.8\nAnswer: 26182.0268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -19390 - -41485. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 - -1. Suppose -4 = -m - o*m. Which is smaller: m or 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6930 and 330.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -14 in 0.04, -2\/9, -2, 1.24?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 1225172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -25870 by 2587.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 0 times 7700446\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 8188 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of -227 and 10.\nAnswer: -2270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:21 AM and 2:39 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19, 6, 73, 176, 309, 466?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 79*j - 29*j - 250 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is ((-6)\/4)\/(8 - 2730\/340) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -3030.796 and 0.69366626?\nAnswer: 3031.48966626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*h**3\/9 - 37*h**2 - 2737*h.\nAnswer: h*(h - 69)*(10*h + 357)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 836008 is divided by 315?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 10 + -2 + 0 + -19\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 58640 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5387538 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2 - -18. Suppose -y = -2*d - 2*d. Solve -d*z + 1 = -7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 2*p**2 - 17*p + 11. Let g be h(13). Suppose g*q = 3*y + 124*q - 13181, -5*y + 21965 = -5*q. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((j\/(j**3\/j*j))\/j*j)\/j)**(3\/47)*j**9\/(j**(-2\/41)*j))**47 assuming j is positive.\nAnswer: j**(15141\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 52 + -1 - (17 + -5)\/(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -2*h - 13. Let b be n(-8). Let x be 9\/(-15) + (-83946)\/390. Let s = -216 - x. What is the second biggest value in b, s, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 38605950 divided by -514746\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z - 1. Let n(c) = 12*c - 9 + 6 - 16*c. Suppose 0 = -12*a - 9 + 45. Calculate a*v(t) + n(t).\nAnswer: -t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2.57 (b) -311 (c) -5 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-2\/3)*v\/(v**(-11)*v)*v)\/(((v**(1\/2)\/v*v)\/v)\/(v*v\/(v*v**(3\/16)))) assuming v is positive.\nAnswer: v**(607\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(-1 + sqrt(363)) + -1 + 1*sqrt(363))**2*-2.\nAnswer: -18200 + 1100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 69 at least as big as 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -5*k**4 + 7100*k**3 - 3110160*k**2 + 430714640*k + 873926800 = 0.\nAnswer: -2, 346, 730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 3*g + 26. Let n be d(6). Calculate the highest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 44, 104, 186, 302, 464, 684?\nAnswer: 974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 25275.33736 + -25274. Round d to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1031642737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2131220 and 0.03?\nAnswer: 63936.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 385 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 2*s**2 - 28*s + 94. What is the remainder when 308 is divided by v(12)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (18\/4)\/3*1061922\/261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 3*d**2 + 2)*((-2 + 0 + 0)*(4 - 1 - 5) + (0 - 1 - 3)*(-30 + 14 + 34) + 2 + 1 - 1) to the form k*d + m*d**2 + i and give m.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1310 = -7*l + 12*l. Let b = 29 - l. What is b rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -30 (base 12) to base 14.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (0 - 33\/6)*(-722)\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**2 - 10*u - 375. Let t be r(-21). What is the highest common divisor of 444 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j + 10 + 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 20142, 36988, 53834?\n\"Answer: 16846*c + 3296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1391.42 + -2821.25. Round i to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 35 + -33. Solve 0 = -3*g - v*g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.058 not equal to 429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -9 + -b2b22a?\nAnswer: -b2b237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1158102 and 902.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be -3 + 1 - 80\/(-45). Let l = 43.045 + -0.045. Let v = l + -42.5. Which is the biggest value? (a) 0.3 (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c. Let k(o) = 44195*o. Determine k(x(l)).\nAnswer: 44195*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 9961789*a**3 - 10573677 wrt a.\nAnswer: 29885367*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -15898, -31843, -47816, -63823, -79870, -95963, -112108?\nAnswer: -128311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -115*j + 364*j + 355 + 641. What is the biggest value in 125\/6, j, 3?\nAnswer: 125\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -2896*y**2 - 20275*y + 9. What is r(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = 5*m. Suppose q + c - 436 = m, -5*c = -2*q + 5*q - 1298. Let w = -257 + q. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -131984823 + 2*u**2 + 131984823.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 229853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 228662614?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes before 7:45 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/118920 and 71\/728385.\nAnswer: 5827080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((-3 + (-1*sqrt(275))**2 + sqrt(275) - sqrt(275)) + ((1*sqrt(275))**2 - sqrt(275)) + 5 - (-3 + sqrt(275))*4*-1).\nAnswer: 15*sqrt(11) + 535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 * -0.036.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2412 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - (-2 - -3)) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) be the third derivative of -h**6\/120 - 11*h**5\/60 - 3*h**4\/8 + 5*h**3\/3 - h**2. Let l = -171 - -161. Let s be m(l). Is -2\/17 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the first derivative of -w**3\/4 - 13*w**2\/16 + 15*w\/8 - 3977. Solve q(h) = 0 for h.\nAnswer: -3, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 431 = -2*i + 445 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(-1\/8)*p*p**0\/p*(p*p*p*p**(-5)*p*p)\/p**(-1\/15))\/(p**(-1\/5)\/(p*((((p\/(p*p*p**(-9)\/p))\/p*p)\/p)\/p)\/p))**26 assuming p is positive.\nAnswer: p**(22577\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -1e0 (base 16) to base 10.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -3315, -6650, -9975, -13284, -16571, -19830, -23055?\n\"Answer: m**3 - m**2 - 3339*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -11 + 3*m - 4 - 2*m + (-1 + 1 - 3*m)*(-1 + 0 + 4) + 15*m + 6*m - 2*m as i*m + c and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38*a**3 - 33*a**3 - 25*a**3 + 62*a**3.\nAnswer: 42*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 1 + 1)*(0 - 9 + 0)*((2*l - l + l)*(-3 + l + 3) + 3*l**2 + 2*l**2 - 3*l**2).\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -4*z - 1. Let a be d(-1). Let o = -20 + 11. Let h be (-15)\/o + 3\/9. Solve -5 = a*b + l - h, -5*b - 2*l - 6 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3610 and 2166?\nAnswer: 10830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 13\/4 of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 7 (base 14) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -528009588 rounded to the nearest 10000?\nAnswer: -528010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be (4\/6)\/(4\/30). Suppose 2*l = -4*r - 6, 7 = -4*r + 2*l - 3. Let v = g + r. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 763975616.\nAnswer: 2, 373, 32003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 0) + (2 - -1) - (-175 - -52 - -166).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -62*t**3 - 2*t + 4. Let j(z) = -123*z**3 - 4*z + 9. Give -3*j(o) + 7*p(o).\nAnswer: -65*o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10120 divided by -110.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 238 minutes before 2:32 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 20 minutes before 8:59 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -159\/157 or -2?\nAnswer: -159\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (3*sqrt(200) + 4*sqrt(16)\/sqrt(8))**2*-1.\nAnswer: -2316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, q: 1, o: 3, h: 5, t: 2}. Give prob of sequence oh.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 117348.9999936 - 117346. Let x = -0.14 - -3.14. Let l = j - x. What is l rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -2*a**2 + 15*a. Let d be m(6). Suppose 8 + d = j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*z**3\/4 - 2490147*z**2\/2 - 4980285*z - 4980282.\nAnswer: -3*(z + 2)**2*(z + 1660094)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 2116829719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 + -1. Let d = 2 + b. Suppose 2*w = 2*o, 2*o = -4*w + 2*w + 12. What is the third biggest value in -3, w, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 5*n**2 - 16*n + 92. Let k be w(12). Suppose 5*j - k = -5*a, -2*j = -4*j + 5*a + 227. What is the highest common factor of 22 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*a**2 + 7*a**2 - 4*a**2)*(12 - 12 - 3*a**3) + (3*a**3 + a**3 - 3*a**3 + (-2*a**2 + 4*a**2 - 4*a**2)*(-3 + 3 - 2*a))*(0*a**2 + 0*a**2 - 3*a**2).\nAnswer: -36*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z + 20. Let q be u(0). Suppose q = 5*c - 3*c. Calculate the lowest common multiple of 8 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 + 0. What are the prime factors of (-21)\/14*58\/y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -ae7 (base 16) to base 4\nAnswer: -223213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14 + (-3 - -11) + -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -12 divided by -5196?\nAnswer: 1\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*y + y - 21. Suppose 0*r - y*r + 126 = 0. Suppose -2*j + r = j. Calculate the greatest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u = 2*u - 18. Suppose i = -2*f - u, -4*f - 21 = 5*i - 0*i. Sort f, 5, 2 in ascending order.\nAnswer: f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5 + (-9 - -2) - -4. What are the prime factors of 0\/s - 720\/(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -5 (b) 4 (c) -343049\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4.2 - 3.2. Let r = -3 + 2. Let c = 2 - r. What is the nearest to k in -4, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -4*u + 2*f, 3*u = f + 2 + 5. Let l = -3.3 + -3.7. Which is the biggest value? (a) -1 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12754623 to the power of 1\/2, to the nearest integer?\nAnswer: 3571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (u**2 + 0*u + u + u)*(5 - 2*u**2 - 5) + (u**4 + 10*u**4 + u**4)*(-2 - 5 + 6) as v*u + g*u**3 + z*u**2 + j*u**4 + o and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-95)\/(-57)*135\/(-25)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 287.808 kilometers?\nAnswer: 287808000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -2*p. Let n(w) = -130400*w - 3. Give n(o(c)).\nAnswer: 260800*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i*i**(3\/4))\/(i\/(i*(i*i**(-1))\/i*i)))\/(i*i\/i**(-1\/3)*i*(i**(-1\/5)\/i)\/i)*(i*i*i*i**(2\/7))\/(i*i**(1\/4))*(i**1)**(9\/8) assuming i is positive.\nAnswer: i**(4013\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -116 + 115.9999974. Round o to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 344 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of h*q**3 + 14281*h*q**2 - 10876*h*q - 2*h - q**3 + 2*q + 2 wrt q?\nAnswer: 6*h*q + 28562*h - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 130001 (base 5) to base 7\nAnswer: 20403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4 + 6. Let w = -297\/13 + 23. Let n = 1 + 0. What is the nearest to n in w, -4, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*o - 8 = 0, 95*y - o = 94*y + 48303. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 3d6 (base 14) to base 4.\nAnswer: 30020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -89 + 60. Let a = -17 - i. Suppose 30 = a*p - 7*p. Calculate the lowest common multiple of 2 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 157\/30 and 20\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**3 - 8*l**2 + 9*l - 12. Let c be y(7). Suppose -p - z + 290 = p, c*p - 290 = 5*z. Is 29 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q + q = -5*c - 390, 3*c + 159 = 2*q. Suppose 78*u = q*u. Factor u*b - 2\/7*b**5 + 2\/7*b**3 + 0 - 2\/7*b**2 + 2\/7*b**4.\nAnswer: -2*b**2*(b - 1)**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/((98\/28)\/(1\/1))*(-175)\/120?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 1444 = -0*c + 2*k, 5*c + 2*k = 1796. Is c a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -165442327888.5+0.47\nAnswer: -165442327888.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l + 3. Let h be f(-4). Let n = 739\/588 + -1\/147. Which is the closest to h? (a) -3 (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 36*j**3 - 6*j**2 - 8*j - 2. Determine p(-1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 4*v**2 + v. Suppose 0 = -3*q + 12, 3*o = 2*q + 13 - 6. Let m = o - 8. Is g(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/(-18)*(-6)\/5 + (-10108)\/(-210). Solve -51*f + l*f = -18 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 408, 335, 208, 21, -232, -557, -960, -1447?\nAnswer: -2024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (5*(2*sqrt(1216) + -1 - sqrt(1216)) - ((sqrt(1216) - (-4 + sqrt(1216)*2)) + 5)**2).\nAnswer: -1304 + 184*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are 642 and 18643\/29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -9*v**3 + 11*v**2 + 15*v + 11. Let j(h) = 5*h**3 - 6*h**2 - 8*h - 6. Suppose -3*n = -10 - 8. Give n*g(i) + 11*j(i).\nAnswer: i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1729165541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 534370 to the power of 1\/2, to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 258782 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 6 + 5 = -5*h, 4*c = 5*h + 31. Sort -0.3, 2, h, 5\/6 in decreasing order.\nAnswer: 2, 5\/6, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -66, -2\/21, 0.5, 4, 35.5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 63 + -75. Let u be (k\/(-20) + 1)*(-10)\/(-4). Solve u*g + 0*g = 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, 2, -2, 3 in ascending order.\nAnswer: -5, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(2736)*5 + sqrt(2736) + 0 + 5)**2.\nAnswer: 720*sqrt(19) + 98521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -4*t**2 - 302*t - 147. What is b(-75)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 6, -5.\nAnswer: -5, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -b**3 + 8*b**2 - 7*b + 1. Let g be u(5). Let s = g - 25. What is the remainder when 30 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 3*f**2. Let g = 3 + -6. Let y(i) = i + 1. Let l(r) = -4*r - 3. Let d(h) = g*y(h) - l(h). Determine u(d(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**3 + 5*o**2 - 15*o - 4. Let h be q(-7). Solve h*b = -5*s + 27, 4*s = b + 2*s + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-66)\/4)\/(66\/(-10912)*-31*(3 + 1))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p**3 - 5064*p**2 + 176940*p + 182000 = 0.\nAnswer: -1300, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 222 + -372. Let n = w + 150.00123. What is n rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 3*u + 2*u + 8 - 7*u - 22. Let v be z(-9). Suppose 0 = -p + 2*s + 5, -19*s + 16*s = 0. Solve g = -v*m + 17, m = -5*g + p*m + 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -155 minus -6.18443613?\nAnswer: -148.81556387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than or equal to -31\/921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 342101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:35 AM and 11:30 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 12 + 15 = 13*k. Let b(u) be the second derivative of -1\/6*u**k + 0 - 9\/2*u**2 - 18*u. Determine b(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -94*k**4 - k**3*q + 126*k*q + 2*q - 759 wrt k?\nAnswer: -376*k**3 - 3*k**2*q + 126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 7 + 2*z - 3)*(-23*z - 40 + 40).\nAnswer: -46*z**2 - 46*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**2\/11 + 255258*z\/11 + 5871992\/11.\nAnswer: -2*(z - 127652)*(z + 23)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 8*a + 324. Let q be h(-40). What is the derivative of -324*o - 19*o**4 + 208 + 20*o**q + 170*o wrt o?\nAnswer: 4*o**3 - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the second derivative of j**4\/2 + 2*j**3\/3 - 385*j. Let t(o) = 31*o**2 + 21*o. Determine 11*i(l) - 2*t(l).\nAnswer: 4*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:00 AM and 2:15 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 143947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.385 and 2148.\nAnswer: 2148.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.7284 and -465331.\nAnswer: -465331.7284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 5*h + 44 + 57 = 0, -2*u + 52 = 2*h. Let y = -14 + u. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 461 a factor of 19723180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 29\/3 of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1913118703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 490497 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1662 divided by -3?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.46 - 0.56. Which is the closest to -1? (a) k (b) 2\/7 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 46*a - 3. What is w(-3)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.16 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 72 - (69 + 345\/483)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1437*f**3*p**2*x**2 - 16*f**2*p*x + 3*f*p**2*x + 6*p*x**2 wrt f?\nAnswer: -8622*p**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -6*f + 26. Let r be k(5). Which is the closest to 1? (a) -2 (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1422971 and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 17856 + h - 35702 + 17855 - 91*h**2 to the form j + w*h**2 + z*h and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 55\/186 and -157\/94302.\nAnswer: 94302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -3*m. Suppose -s = -m*s - 18. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 2\/7 (b) -12.3 (c) -8270 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -272806252*t**5 + 9740*t**2 + 801?\nAnswer: -16368375120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9699 is divided by 313?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 9, -3, -6, -1916, 0 in increasing order.\nAnswer: -1916, -6, -3, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*g**4 + 45708*g**3 + 2*g**2 - 96877*g - 2.\nAnswer: 48*g + 274248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f + 286 = 52. Let v = 35 - f. Let o(r) = -r**2 - r + 4. Calculate o(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 48 minutes before 8:37 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -273 divided by -219.\nAnswer: 91\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 6*a - 144 = 2*a, -2*a = -8. Let i = 70 + x. Solve i*t = 3*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 135 divide 672027211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0 + 5 + (2 - (-661 + -2)). Suppose 208*l = 213*l - y. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1306, 1291, 1266, 1225, 1162, 1071, 946, 781?\n\"Answer: -c**3 + c**2 - 11*c + 1317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0 + 0. Suppose l = 2*g - 8 + 2. Let n = -3 + g. Solve 4*j + t + t + 22 = n, -2*t = 3*j + 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -30 - -30.1. What is the nearest to 0 in u, -2\/15, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-24)\/9*(-27)\/(-6). What are the prime factors of 6\/((-4)\/(4768\/l))?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13 + 89 + -95 + -33 + -7 + 1?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -2641, -2634, -2623, -2608, -2589?\n\"Answer: 2*i**2 + i - 2644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 776*h - 2319*h + 774*h + 768*h + 2736.\nAnswer: -h + 2736","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -6 - (5 - (6 - 1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 2117.2 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 - 12 = 2*p. Suppose 0 = 4*m + 4*f - 21 - 23, p*m + 2*f - 42 = 0. What is the remainder when 26 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**2 + 7*v + 11. Let j be d(8). Let m = -5 + j. What is the tens digit of -13*(-3 - m) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/4*4\/18\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2830991972 minus -0.2?\nAnswer: -2830991971.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -296 - 325 = -3*g. Let u = g - 31. Calculate the remainder when u is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*p**5 - 597*p**4\/7 - 1926*p**3\/7 - 1563*p**2\/7 - 12*p\/7 + 180\/7 = 0. What is p?\nAnswer: -10, -3, -1, -1\/2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 211010022110221 (base 3) to base 14.\nAnswer: 17c084c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that -4*j**2 + 7398096*j + 96175924 = 0.\nAnswer: -13, 1849537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = 3*f - 24. Suppose -f*o - 14 = 1, 3*m - 2*o - 292 = 0. Calculate the remainder when m is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 16 = -2*z, 3*s + 32 = 2*z + 2*z. Calculate the lowest common multiple of z and 284.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 24\/68387 and -37\/68387?\nAnswer: 68387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w + 2*w + 23 = -4*n, -5*n + 2 = -4*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 20*g**2 - 20 + 15 + 7*g**2 wrt g.\nAnswer: 54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 4*v + 3. Let f(x) = -3*x - 2. Suppose 5*w - 5*y = 25, -2*w = -y + 2*y - 13. What is w*f(h) + 4*z(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 divided by 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = 836.01863 - 836. Let b = a + -0.022. Round b to four decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 155*p - 2 - 156*p + 2. Let c(t) = -3*t - 1. Calculate c(y) - k(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -1426599 times -1\nAnswer: 1426599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the second derivative of d**5\/120 + d**3\/6 + 2*d. Let c(z) be the second derivative of h(z). Let y(a) = 4*a. Give c(y(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/3 (b) -67\/45 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x**2 + 3*x**2 + 5*x**2)*(-3*x - 2*x + 4*x)*(0*x + 11*x - 3*x).\nAnswer: -48*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 15954 + -15954.2. Let y = -0.4 - -0.5. Which is the second smallest value? (a) -46 (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -5 - 161*g**3 + 160*g**3 - 5 + 11*g**2. Let t be ((-5)\/(-3))\/((-3)\/(-9)). Let v be p(t). Calculate the greatest common factor of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1817 times 15\nAnswer: -27255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 16324893 divided by 96597?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 121\/147876 and 61\/36.\nAnswer: 443628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jj when two letters picked without replacement from {e: 1, h: 6, z: 4, w: 2, j: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 34136 = -35319. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 297651 and 201489?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be -38*(-1)\/(-1) - 3. Let z = m + 254. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g**2 - 14*g - 7. Let s be p(-9). Suppose 14 - s = -2*d. Let w = 2 - 2. Solve 4*u = -w*u + d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 32\/65 and 31\/1220.\nAnswer: 15860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be (312 - 1)\/((-15)\/50 + (-74)\/(-185)). Solve 3103*g - t*g - 14 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1100 - -100100000101111110?\nAnswer: 100100000110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 11\/10, -32, 16, 2.\nAnswer: -32, -3, 11\/10, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28\/2 - ((189\/(-48))\/(-3) + (596 - 583)).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1.2 and 1.602?\nAnswer: 2.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**2 - 9*j + 17. List the prime factors of n(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -248 = -4*m - 2*j - 238, 5*m - 23 = -4*j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -135438, -542021, -1219660, -2168355, -3388106, -4878913, -6640776?\nAnswer: -8673695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -157 + 789\/5. Let t = 3 + -2. Is t smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7172 divided by -163.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 588439 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 355121692 and 1282?\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 34 + -29.46. Let k = q + -1.54. Which is the second smallest value? (a) 0.4 (b) 0.023 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the second derivative of -g**4\/12 + 2*g**3\/3 + 4*g**2 - 171*g. Determine n(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((5*-3*sqrt(1008)*-5*6 + -5)*-3)**2.\nAnswer: -5511240675 + 1458000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -5, -14, -9, 16, 67?\n\"Answer: h**3 + h**2 - 19*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 22756 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 47486451 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -4483502, -8967003, -13450504?\n\"Answer: -4483501*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 196 and 1127?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 63703373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13168?\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -21.193683*-4\nAnswer: 84.774732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 270 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tttttthhthththhthhht. What is prob of sequence hh?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, t: 1, s: 1, m: 3, o: 1}. What is prob of picking 1 x and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-156)\/(-3276))\/((-6)\/(-28)))\/(22*6\/3069).\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*m + 2*m + 4*m + (-2*m - 2*m + 6*m)*(-4 - 1 + 3) + 0*m - m + 8*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*n - 11 - 253. Suppose -8*z - n = -11*z. Calculate the smallest common multiple of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -11\/173?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 6\/7, 0.3, 89445?\nAnswer: 89445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (558\/(-1860) + 41\/(-30))\/(4\/10)\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 27\/756509 and 15\/4?\nAnswer: 3026036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 56\/299 and 43\/4598528.\nAnswer: 59780864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25403?\nAnswer: 7, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 1010100101100 (base 2) to base 11\nAnswer: 4088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 635 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2514893 is divided by 3431?\nAnswer: 3401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 2 h when three letters picked without replacement from hhhhhqhhhhhqhhhhhhqh?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -4209230 rounded to the nearest one hundred thousand?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = x. Let f(d) = -3*d + 9. Let v(g) = -2*b(g) - f(g). Let m be (2 - 5 - -2)*1485\/(-11). Let q = -124 + m. What is v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u**2 + 7*u + 13. Let q be w(-3). Solve -m + q = -1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9*2*(-102)\/(-612) + 57\/(-9)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**3 + 3*o**2 + 3*o + 5. Let y be v(4). Suppose 3*j - 8 = y. Solve -j*d = -2*c + 9, -2 = -c - 4*d - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 5*i = -12, c - 4*c + 28 = -4*i. Let u = 6 - c. Solve 2\/5*y**3 + y**u + 4\/5*y + 1\/5 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -578414 = 9144*w - 4083*w - 82436 for w.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -14 + 17. Suppose -3*b - 526 = -n, 289 = -4*n + s*b + 2348. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -x**2 - x + 1. Let p(d) = 10*d**3 + 12*d**2 + 40*d - 12. Let y(h) = 12*b(h) + p(h). What is the second derivative of y(l) wrt l?\nAnswer: 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the third derivative of x**4\/24 - x**3\/2 - x**2. Suppose 0 = 4*b - 12 - 8. Suppose 0*m - 26 = 2*m + b*i, -4*m = 5*i + 32. Give j(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**3\/3 + 158*h**2\/3 - 48*h - 312.\nAnswer: -2*(h - 78)*(h - 3)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 411*y - 5625 = 786*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:54 PM and 2:05 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*a + 0*a - 2*a)*(-1 + 4 - 4) - a + a + a + 5*a - 3*a - 3*a - 3*a - 2*a + 2*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**4*p**(-4))\/(p**(4\/7))**18 assuming p is positive.\nAnswer: p**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 42928 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 47 = -2*h - 29, 2*h + 46 = 3*o. Solve 5*n - o = 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2954 + -855. Does 38 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7*h + 230 - 604 + 255 as k + b*h and give k.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.1 - -0.3. Let m = u - -0.3. Let g = -0.4 + m. Which is the second biggest value? (a) g (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in twenty-one eighths of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-76)\/(-80) - 1)*(-8)\/(-6)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -2 - 3*n - 4*n**2 - 24*n**3 + 8*n + 0*n**2 + 23*n**3. Give r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -4*c**2 + 2*c. Let p = -371 - -378. Let i(u) be the second derivative of -13*u**4\/12 + 7*u**3\/6 + u**2\/2 - 4*u. Give p*a(g) - 2*i(g).\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-114)\/285)\/(21\/5).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -7 - 13*o**2 + 0 + 2*o**2 - 23*o + 23*o as i + y*o**2 + r*o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 7, s: 5, k: 2, c: 2, q: 1, u: 3}. Give prob of sequence kucq.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 111 (base 14) to base 9\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(1\/4))**(-2\/47)*s**(-2)\/s**(2\/21))**(-21) assuming s is positive.\nAnswer: s**(4157\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3094 and 334749142?\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 15, 2\/69.\nAnswer: 2\/69, 0.1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 88896121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 2, s: 1, u: 8, g: 7}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -162*d + 64*d - 390 = 8*d + 24*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*f - 5 + 5)*(3 - 3 - f) + f**2 - 5*f**2 + 2*f**2 + (4 + 1 - 2)*(2*f**2 + 0*f**2 + 0*f**2) to p + z*f**2 + w*f and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -580 or -1\/4?\nAnswer: -580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5434 = 4*p + 2*g, 5*p + 2*g = 6*g + 6825. What is p rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16255.\nAnswer: 5, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 185 + 1151?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 140576 divided by -184.\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/14*45\/(1890\/(-196))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: (149 + -5)\/(-9) - -4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 540\/216*(-34)\/(-20)*4. Let u(c) be the first derivative of 0*c - 5 + 23\/3*c**3 - l*c**2. What is the second derivative of u(g) wrt g?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (28\/10)\/(8\/1560)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the second derivative of k**4\/12 + 5*k**3\/6 - k**2 - k. Suppose -11*o - 64 = 2. Is h(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.4, -7, 0.06, 3\/5255?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2009, -3604, -5213, -6842, -8497, -10184, -11909?\nAnswer: -13678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 8*o - 10*o + 0*o. Let p(t) = -9*t + 1. Let c(u) be the first derivative of -25*u**2\/2 + 3*u - 8. Let a(i) = 6*c(i) - 17*p(i). What is h(a(z))?\nAnswer: -6*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1 and -0.2774509?\nAnswer: -0.2774509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(91)*-3)\/(sqrt(7) - sqrt(35)\/sqrt(5)*-2).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = f - 7. Let m = 9 + -5. Suppose -m*v + 6*a - 2*a - 16 = 0, -5*v - 2 = 4*a. Let p be 2*5*v\/(-4). Determine y(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y = -0*y - a + 2, -4*y - 3*a + 6 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Do 0 and 4235274894 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 710270.4 meters in kilometers?\nAnswer: 710.2704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(-2*sqrt(16)*4)\/sqrt(8) + (-1*sqrt(288) + 5 - (-1*sqrt(288) + -2)) + 2)**2.\nAnswer: -144*sqrt(2) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the second derivative of 0*h**6 + 10*h + 2\/189*h**7 + 0*h**2 + 0*h**3 + 0 + 0*h**4 - 1\/45*h**5. Find v such that u(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 292726*l**3 - 293*l**2 + 108769*l - 11?\nAnswer: 1756356*l - 586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2683226\/99 or -27103?\nAnswer: -2683226\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 320328082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j + 29 = -j - w, -33 = -5*j - 3*w. Suppose -j - 4 = -2*d + v, -v = 4. What is the derivative of -7*s + 0 + d*s - 2 wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1031110 - 10300123?\nAnswer: -11331233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(1573) + sqrt(1573) + (sqrt(1573) - (sqrt(1573) + 0)))*1 - (-4 + sqrt(1573)*2 - sqrt(1573)))*5 + 0)**2.\nAnswer: 2200*sqrt(13) + 39725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 18275561 and 8566.\nAnswer: 4283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 1) + 8 + 0 + -12 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1\/113 + 16207\/5424. Find the common denominator of k and (-36)\/80 + 8\/(-20).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2269205 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 102341.2 nanoseconds?\nAnswer: 0.1023412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 260 + -257. What is the derivative of 100*c**3 - 24 - 57 - 12 + 13*c**k + 85*c**3 wrt c?\nAnswer: 594*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-36 - 21495\/(-600))*((-205)\/35 - -6)?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u + 5. Let y be s(-5). Suppose -2 - y = -3*n. Let d = -213 - -219. What is the least common multiple of n and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 17 = -2*p + 2, p = 5*t + 15. Is 4\/9 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 25*z**2 + 0*z**4 + 3*z**3 - 3*z**4 - 4*z - 2*z**3 - 23*z**2 in the form o*z + x*z**4 + n + b*z**2 + m*z**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -6 (c) -3\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 555984 a multiple of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 6224 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/(-3) - (-5411)\/3. Let y = 46985\/26 - j. Calculate the common denominator of y and (-57)\/(-266) + 1*5.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve l**4 + 818*l**3 + 791*l**2 - 21218*l + 19608 = 0 for l.\nAnswer: -817, -6, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the first derivative of i**5\/60 - 7*i**4\/24 + 3*i**3\/2 - 11*i**2\/2 + 12. Let k(o) be the second derivative of z(o). Determine k(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v**2 - 78*v + 422. Calculate n(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**3*y*y)\/y*y**(-1\/3)*y**6\/y**(-2))\/(y**(-6)\/y*y**3*(y\/y**(-1))**(24\/7)) assuming y is positive.\nAnswer: y**(185\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1.5 in 2\/29, 0.3, 0.2, 2\/89?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*d**2\/3 - 31*d\/3 - 7.\nAnswer: -(d + 7)*(4*d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yecd when four letters picked without replacement from {c: 4, e: 2, m: 3, y: 3, t: 4, d: 4}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2820155553 to 6 decimal places.\nAnswer: 0.282016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 31772844 and 69552?\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -10*z - 1 + 1 + 9*z + 2. Let u be j(-3). Suppose 0*o = 3*o - 3*f - 174, 0 = -u*f - 15. List the prime factors of o.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 276 is divided by 72.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 60, 73, 94, 123?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -v + v + 4*v + (3*v + 0*v - 5*v)*(0 + 0 - 2) - 3*v - 2*v + 6*v + 0 + 0 - 2*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 4*p + 20 = 3*k, 0 = 3*k + 4*p - 13. Suppose -k*m = -2*m + 40. Is (-294)\/m + 3\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 8 = -20, 3*f + 5*o = 26618. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 213.107 times 3\nAnswer: 639.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 s and 1 j when four letters picked without replacement from sssssssssssjsss.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -n - 1. Let s(a) = 6*a - 4*a**2 + 8 - a + 0*a. Let h(f) = 5*i(f) + s(f). What is the derivative of h(t) wrt t?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -2*j**2. Let z(d) = -152*d. What is v(z(k))?\nAnswer: -46208*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1615772366 to 4 dps.\nAnswer: -0.1616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/135*-10)\/(236\/(-12)).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 3*s. Let c be n(6). Suppose -9*q + 6*q = c. What is the units digit of q\/15 + (-606)\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-264)\/36 - -6)\/((-6)\/7353) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor u**3 - 2915*u**2 + 1321528*u - 164127804.\nAnswer: (u - 2391)*(u - 262)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 61359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*2*4*(sqrt(156)*-1 + sqrt(156) + sqrt(156)))\/(sqrt(300)*6 + 2*sqrt(108)).\nAnswer: 8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.1 + -112710.\nAnswer: -112707.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w - 11. Let j be n(9). Let r(a) = 10*a**2 + 4*a + 21. Let y be ((-17)\/17)\/((-4)\/(-44)). Let u(s) = -2*s**2 - s - 4. Give j*r(l) + y*u(l).\nAnswer: 2*l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y**(-6)*y)\/y)\/y**(3\/5))\/(y*y**2)**(-30) assuming y is positive.\nAnswer: y**(417\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be 8\/28 + 4282\/7. Let q be -4 - -10*5*(-98)\/(-35). What is the greatest common factor of q and z?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 5) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9251\/30 - -1541\/5. Which is the smallest value? (a) n (b) 2 (c) 2.98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 4*t**3 + 3*t**2 - 7*t - 25. Let f(r) = -r**3 - r**2 + 2*r + 8. Let n(d) = -2*b(d) - 7*f(d). Give n(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2937 - -2944)\/((-1)\/3*8\/24)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (5 + -2)\/((-1)\/(63\/(-27))). Solve 2*r = -17 + j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 576444 is divided by 675?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 207868718 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 232.3 less than 0?\nAnswer: -232.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 22 (base 12) to base 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the second derivative of -p**9\/6048 + p**8\/2240 - p**6\/1440 + p**3\/2 + p. Let f(n) be the second derivative of y(n). Solve f(l) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -2*r**3 + 3*r**2 + 4*r + 5. Determine i(4).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 117060694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -2872 by 718.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - s - 2*s - 1 as n*s + f and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6 - -2. Let f = 451\/3 - 152. Let n = 161.7 + -161.5. Put m, f, n in decreasing order.\nAnswer: n, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u**0)\/u)**(23\/3)*u\/u**(2\/11)*u**(-5\/3)*u*u*((u**(1\/2)*u)\/u)**32*(u**(1\/4))**(1\/30) assuming u is positive.\nAnswer: u**(22651\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p - 484 = 152*p + 2151 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**2 + 3*c - 4. Let t = -1 - -13. Suppose -4*k = -20 - t. Let i(r) = 5 - 2*r - k*r + 3*r**2 + 8. Give 2*i(b) + 7*u(b).\nAnswer: -b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -2651, -2573, -2355, -1925, -1211, -141, 1357?\n\"Answer: 12*r**3 - 2*r**2 - 2661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (53 - -28 - 29) + -27?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 566 - 2?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) be the second derivative of -8\/33*t**3 + 2*t + 0 - 4\/11*t**2 + 5\/66*t**4. Factor m(d).\nAnswer: 2*(d - 2)*(5*d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 21654301 and 21.496.\nAnswer: 21654322.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 107*b**4 - 6*b**3 - 7*b - 29456 with respect to b.\nAnswer: 428*b**3 - 18*b**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 22095315 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-48)*-9)\/((-1)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 50 minutes after 5:03 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (-14)\/(-8)*(-120 - (-88 + -48))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1199220.\nAnswer: 2, 3, 5, 11, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 105, 80, 19, -96, -283, -560, -945, -1456?\nAnswer: -2111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -497, -1757, -3847, -6761, -10493?\nAnswer: -15037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = l + 4*y + 18, -13*l + 4*y = -10*l - 26 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 46157?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dssx when four letters picked without replacement from {s: 4, x: 4, y: 1, d: 3, q: 7}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 8031109?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 25d3 (base 15) in base 7?\nAnswer: 32352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -2 - 9*y**3 + 2*y - 3*y + 4*y**3 + 3*y. Let a(x) = x**3. What is -6*a(t) - b(t)?\nAnswer: -t**3 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -625 + 624.989259. What is z rounded to four dps?\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -213 + 402. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -1\/4 (b) 0.2 (c) -732.1 (d) -1.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 t and 1 x when four letters picked without replacement from txtxjetxxx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 + 3 = -2*r, -5 = -5*z + 5*r. Let o = 4 + z. Let -2*n + o*n**2 - 2*n**4 + 4*n**4 + 4*n**2 - 6*n**3 = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/((2 + 0)\/(16\/(-24))). Which is the nearest to 0.01? (a) n (b) 2\/7 (c) 2\/17 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1295 - -2208. Let r = -908 + z. What is the greatest common divisor of 11 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 261 and -7557.\nAnswer: -7296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -13957 divided by -17?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -101 (base 3) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -f + 0 + 0 + (-11*f - 18 + 18)*(-7 + 10 - 4).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in thirteen eighths of a millennium?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 3*d**2 - 2*d. What is the lowest common multiple of 54 and l(-2)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 take away 26.8893?\nAnswer: -25.8893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 67616 and 232384.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -11 - 2*p**3 + 8*p**2 + 3*p**3 - 2*p**3 + 3*p. What are the prime factors of u(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 23345634, 23345635, 23345636, 23345637, 23345638?\n\"Answer: d + 23345633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = s + 2, -k - 3 = -0*s - s. Let u(o) be the second derivative of 1\/2*o**2 - s*o - 1\/6*o**3 + 0. Find the first derivative of u(v) wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8 - -12. Let k = 0 - -0.05. Which is the smallest value? (a) k (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 6954, 13903, 20852?\n\"Answer: 6949*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -10089 by 1070.\nAnswer: -10089\/1070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = 270 + -826\/3. Let c(f) = f - 5. Let n be c(9). Calculate the common denominator of 3\/(63\/177) - n and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:31 PM and 7:54 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8269 is divided by 2618.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:14 AM and 12:38 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -308*b - 339*b - 20 + 649*b.\nAnswer: 2*b - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4.1 - -25.9. Suppose 10 = 4*m - 10, 2*g + m + 33 = 0. Let w = g + 97\/5. Which is greater: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 62791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 335431524 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4*-1*-3*46090\/33520.\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4 - 1. Let f = -16 - -22. Suppose -j*c + f = -c. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -a**3 + 8*a**2 + 3. Suppose -22 = -4*q - 5*u, 8 + 0 = -4*u. Let v be x(q). Let o be 1\/(v\/(-9)) + 6. Solve o*b = -5*j + 19, -5*j + b + 11 = -16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(-3)\/(c\/(c**(5\/7)*c*c*c)) assuming c is positive.\nAnswer: c**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = z - 85. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 358 smaller than 356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3dce5 - e5?\nAnswer: -3ddda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) 0.00633 (c) -5 (d) -4 (e) -3 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 36 minutes before 8:06 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2.903 and -0.452.\nAnswer: -1.312156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = w. Let m(k) = -3*k + 48. Let c(i) = 5*i - 97. Let x(y) = 2*c(y) + 5*m(y). Let n(h) = 6*q(h) + x(h). Does 27 divide n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40363323523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 467688.36 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - t + 0*t = 9, 3*t = -5*g + 6. Let n(s) = s + 1. Let i be n(g). Suppose 348 = 6*p - i*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*1*sqrt(56))\/sqrt(8).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 73.68007 litres to millilitres.\nAnswer: 73680.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 8) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 7028920 by -20.\nAnswer: -351446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 3160987053 to the power of 1\/3, to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -2*q**2 - 32*q + 4. Let d be l(-16). Suppose -i + 4*i = d*z + 40, 51 = 4*i - 3*z. Calculate the remainder when 47 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1946 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*a - 555 = -595 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, s: 4}. Give prob of sequence sccs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 338403 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 15*l**2 + 2 - 7*l + 2*l - 5 - 1. Suppose -2*y - 12 = 2*y. Is o(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g**3 + 8*g**2 + 6*g + 26. Determine l(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 28 = 7*j + 2*x, 4*x - 36 = -5*j. Solve j*q - l = 3*l - 8, 3 = -l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/(-3)*-6 - 0. Let c be 6\/9*27\/a. Put -1, c, -4 in decreasing order.\nAnswer: c, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**2 + 8*j + 6. Let s be h(-7). Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 21709 (base 10) to base 12\nAnswer: 10691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**3 - 5*i**2 - 5*i - 7. Let n be v(-5). Let o = -4074 + 4104. What is the highest common factor of n and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 209 + 1c56?\nAnswer: 1e60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3222\/4833*10\/(-45)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 528 = 2*j + j - 3*i, -900 = -5*j - 5*i. Are j and 178 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 75306.22ug in grams?\nAnswer: 0.07530622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*b + 158 = -2*g, g + 8*g + 80 = -g + 6*g + 5*b for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 2*p**2 + 5*p + 2. Let l(i) = 2*i - 1371 + i**2 + 688 + 684. Determine -5*l(m) + 2*w(m).\nAnswer: -m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1235.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes before 1:46 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 l when four letters picked without replacement from llllloo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = -126 + 188. Calculate the remainder when 245 is divided by n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10.1 - 7.1. Is b at least 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 + 3.1. What is n rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 462, 466, 470, 474, 478, 482?\n\"Answer: 4*f + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4 + -6. Let h be c\/(264\/(-130) - -2). Calculate the greatest common divisor of h and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00027849392 rounded to six decimal places?\nAnswer: 0.000278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l - 24 = 5*a, -5*a + 16 = -10*a - 4*l. Let h(p) = 6*p + p + 0*p + a*p. Let k(r) = -17*r**2. What is k(h(z))?\nAnswer: -833*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 240 = 4*l. Let m = l - 38. Solve -3*s = 2*v - m - 0, -2*v + s - 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 84 - 81. Solve -5*u - 32 = -2*v - 3, -n*u - 13 = v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -245 - -265. What is the least common multiple of 3 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from eeeekkk?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 4*y - 1631 + 511 = 0, 0 = -k - y + 566. Do k and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -3*v**3 - v**2 + 2*v + 2. Let a(n) = -10*n**3 - 3*n**2 + 7*n + 6. Determine -4*a(g) + 14*f(g).\nAnswer: -2*g**3 - 2*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -753 - -758. Solve -13 - 12 = l*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -3879*n**2 + 65939*n - 115. Give q(17).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the first derivative of 0*i**3 + 3 - 1\/240*i**5 + 0*i**4 + i**2 + 1\/480*i**6 + 0*i. Let h(n) be the second derivative of w(n). Factor h(l).\nAnswer: l**2*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - p + 107 = 7*z, 2*z - 37 = 5*p. Suppose s - z = 33. List the prime factors of s.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from ukzzcxll?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (8 - -3) + -4 + -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*p + 46*p - 726 = 0. Solve -5*t - 3 = p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -6 - 6 - k + 8 + 6. What is p(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24\/120*(-20)\/(-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -13358, -52554, -117880, -209336, -326922?\nAnswer: -470638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -49, -116, -207, -334, -509, -744, -1051, -1442?\nAnswer: -1929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -33\/65 and 53\/325.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.012 + 2.012. Suppose 0 = -11*h + 8*h - 12. What is the fourth biggest value in 4\/11, -3\/5, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(1\/3)*(d**(-2\/9)*d)\/d)\/(d**(-2)*d**(1\/3))*d**(2\/5)*((d*d**(2\/9)*d*d)\/d)\/d*(d\/((d\/(d\/d**(-2\/7)))\/d))\/(d**(3\/5)*d) assuming d is positive.\nAnswer: d**(143\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 33 by -20.\nAnswer: -33\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 52874874 and 4914?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -131 - 1101. Let v = d - -462. Let y = -1570 - v. Round y to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 5*c = -9. Let w be (1\/2)\/(c\/16332). Is w\/((-8)\/(-4)) - 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -67.87 or -2?\nAnswer: -67.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -95085760 divided by -15890\nAnswer: 5984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n be (64\/(-44) - -1) + (-2)\/(-11). What is the nearest to -2 in 0.5, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s = 25, -93*n = -98*n + 5*s - 40 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -3734, 55, -1 in increasing order.\nAnswer: -3734, -3, -1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 64723350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h\/(h*h\/h**13*h))\/h*h)\/h**18*h**12*h**(-16) assuming h is positive.\nAnswer: h**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 340 = k, c - 3*k - 110 = -2*k. Let h = -110 + c. Suppose x = -h*v + 168, 5*v - 316 = -0*x - 2*x. What are the prime factors of x?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 48\/27 + (-6 - -4). Let s = -101\/28 + 3\/28. Let i = s + 4. What is the closest to i in -1, 1\/5, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0 + -1. Let i = -0.1 - -0.6. Let z = -0.4 + i. What is the nearest to 0.1 in -0.1, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the third derivative of -1099*h**4\/24 + 379*h**3\/2 - 2*h**2. What is the derivative of x(z) wrt z?\nAnswer: -1099","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2261*f**2 + 1303*f wrt f.\nAnswer: 4522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*s + 1970 - 116. List the prime factors of s.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -387500 rounded to the nearest 10000?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let -318*i**5\/7 + 366015*i**4\/7 - 105134979*i**3\/7 - 106496640*i**2\/7 - 995328*i\/7 = 0. Calculate i.\nAnswer: -1, -1\/106, 0, 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = -5 + 25. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 4 + 2*c)*(11*c**3 - 50 - 21*c**3 + 12*c**3) - 4*c**4 - 4*c**3 + 5*c**4 + c**4 in the form q*c**2 + l*c**4 + b + g*c**3 + a*c and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*j = 4*j. Suppose 1 = -5*c - 3*s + 237, -5*c - s + 232 = j. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 2*o**2 - 24*o - 20. Let i be r(13). Suppose 2*b - i*b = -16. Suppose 1 = b*y + m, y + 4*m + 5 = 9. Solve y = -8*h + 11*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 7*p**2 - 5. Let k(b) = 6*b**2 - 6. Let h(d) = -4*k(d) + 5*t(d). Let j = 12 - -6. What is the remainder when j is divided by h(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 - -39 - 14 - 32.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find x such that -45\/7 + 121\/7*x**3 - 671\/7*x**2 + 339\/7*x = 0.\nAnswer: 3\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 77829?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 40 - 39.6. Let h = 0.01 - -2.99. Which is the smallest value? (a) j (b) -1\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 19419 + 505*m - 19419 in the form k + t*m and give t.\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5*(1 - (6 - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of c**5 - 1805687*c**3 + 13051666*c**2 wrt c?\nAnswer: 60*c**2 - 10834122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16299*j**3 + 16594*j**3 - 32661*j**3.\nAnswer: 232*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -5565*m + 5563*m = -4*j - 28, j + 2*m - 28 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 777 and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p be (3 + -6)*(-2)\/8. Which is the biggest value? (a) p (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -33 + (5 - (22 + -26)) - -15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 393 a factor of 611454606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*a - 128 + 113 = -y, -a + 5*y = -37 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 29 = 5*y, 3*s - 5*s + 27 = 5*y. Let c = 54 - 50. What is the second derivative of 2*i**5 - 2*i - y*i**5 + c*i wrt i?\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4228.03 centuries in months?\nAnswer: 5073636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 116*i - 1781 - 585 = 25*i for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -13139*d - 4598 + 7941 + 5127 = -12985*d for d.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1976167 = -5*q + 2*h, 8*h - 20 = 13*h. Let w = -569835 - q. What is w rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -321, -602, -843, -1044, -1205, -1326, -1407?\n\"Answer: 20*c**2 - 341*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 32, -846, -2310, -4360, -6996?\nAnswer: -10218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -n + 2*k - 27 + 107 = -5*n, 2*n - 190 = k + 3*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27890979.\nAnswer: 3, 31, 299903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Multiply -2811.33 and -0.09.\nAnswer: 253.0197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19099, 76407, 171921, 305641?\nAnswer: 477567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 303881 divided by 13.\nAnswer: 303881\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 65541.0973 + -65596.1. Let d = 34 - -21. Let l = y + d. Round l to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 1 - (-5823)\/15 - (-12)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t. Calculate the remainder when 2 - 7\/((-21)\/24) is divided by s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 313*z + 165 - 86 + 1728*z - 79.\nAnswer: 2041*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -1198*c. Let d(k) = 101. Let w(y) = -y - 202. Let f(h) = -2*d(h) - w(h). What is f(b(o))?\nAnswer: -1198*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -11*m + 12. Let h(v) = 9*v - 12. Let d(g) = 5*h(g) + 4*j(g). What is d(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express p**3 + 3*p**3 - 5*p**3 + (-p - 2*p**2 + p)*(-3 + 2 + 5*p + 0*p) + (2 - 2 + 2)*(3*p + 2*p**3 - 3*p) as k*p + o*p**2 + t*p**3 + z and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18497997 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 508 minutes after 3:50 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 + (-3 - 0 - 12). What is the tens digit of (-244)\/(-3) - t\/24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f\/((f**(-3\/5)\/f)\/f)*f*f*f*(f**(-3\/17)\/f)\/f*f**20*f*f\/(f\/((f*f**(-27))\/f)) assuming f is positive.\nAnswer: f**(-134\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be -3 + 60\/(2 + 1). Let h be ((-2)\/12)\/((-17)\/204). Suppose -h*z = -t - 13. What is the remainder when 71 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y - 409 = -3*j - 389, 36 = -2*y + 10*j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 232*s - 222*s - 70 = 0. Suppose -29 = -12*v + s. What is the second smallest value in -4, v, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 165257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 6107 > 4947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 2*j - 22 = -48, -5*p + 2*j + 58 = 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the third derivative of n**5\/60 + n**4\/3 + 25*n**3\/6 - 78*n**2. Let u be c(-5). Suppose -1 = -l + 1. Solve 4*w = u - l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 141390931?\nAnswer: 11, 12853721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8*(-12 + 20034\/1680).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10 - 8. Suppose -j*i = -53 + 13. What is the smallest common multiple of 12 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0\/(-5)*(-8)\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*b + 5*n + 4 = 31*b, 5*n - 48 = -12*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 175 + -164. Solve -4*l = 4*i - 4, 4*l - g = -i + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-40)\/(-7)*((-118)\/(-36) - -26*68\/7956).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 11 by -29.\nAnswer: -11\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11000 - -10100101?\nAnswer: 10001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*d**2 - 203876*d.\nAnswer: -4*d*(d + 50969)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (61 + 97 + 60 - 2*s)*(-1 - 1 + 2*s + 0*s).\nAnswer: -4*s**2 + 440*s - 436","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 878 + -524. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 158 divided by -143?\nAnswer: -158\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 4*b = 16 + 17, -4*b = y - 3. Suppose -y*a + 32523 = 22*a. What are the prime factors of a?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the second derivative of 38*n**6\/15 - 99*n**2\/2 + 53*n + 1. What is the first derivative of g(c) wrt c?\nAnswer: 304*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 9*o**2 - 17*o - 17. Let s(d) = d**2 - 2*d - 2. Let q(g) = -6*p(g) + 51*s(g). Let i(c) = 2*c. What is i(q(y))?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be (453\/(-4))\/(33\/(-44)). Let c = 153 - v. Solve -2*u = 2*t + 12, 0 = -2*u + 3*t + 15 - c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/11 (b) -26 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = -5*t - 865, 4*t - 6*n + n = -674. Let p be t\/(-13) + (-10)\/65. Let r(j) = -j**2 + 10*j + 18. Let w be r(p). Which is smaller: -20 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 180 + -539\/3. What is the second biggest value in 4, -2\/5, j, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 769 is divided by 90?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide (-2)\/6 - 18154\/(-174)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 19*j + 29 + 256 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + (-35 - (9 - (14 + 8)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -2\/3735?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28 divided by 5911.\nAnswer: 28\/5911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = -36 - -35.95. Round q to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 0.5 (c) 1\/5 (d) -4 (e) 2058.182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -7, -0.01, 3, -16\/9, 0.16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that 84\/5 - 16*i + 4\/5*i**4 + 16*i**3 - 88\/5*i**2 = 0.\nAnswer: -21, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z\/z**(-4))**(-1\/84))**(-2\/75) assuming z is positive.\nAnswer: z**(1\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**2 + n + 0*n + n**2 - 3*n**2 + 4. Let t = 6 + -6. What is q(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -97554811 by -4.\nAnswer: 97554811\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in -3\/2, 13, 4, 0.1, 0.5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7624 + 11342. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 15\/6*16\/10. Suppose 0*y = -y + g. Let r(v) = -v**3 + 5*v**2 - 3*v - 1. Give r(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -7*i**3 + 8*i**2 + 17*i + 8. Let y be a(-1). Solve 2*c - 22 = -4*t - 6, 0 = 2*t - y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 238 minutes after 11:51 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -61? (a) -3\/5 (b) 2\/5 (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -15 + 15 - 5\/((-15)\/18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jltt when four letters picked without replacement from {j: 6, y: 1, p: 2, t: 2, l: 5, e: 1}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (t - 4*t + 2*t - 2*t + 0*t - 3*t + (0 + 0 + t)*(1 + 3 - 2))*(-6*t + t + 3*t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oco. What is prob of sequence coo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p**3 - 15*p**2 + 15*p - 17. Let v be o(-16). Is 3 + v - 9099\/(-1 + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1.6 (b) -2 (c) 2\/11 (d) -4 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1\/2 - (408\/16 - 8). What is the second smallest value in o, 2\/9, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k + 19*q = 15*q - 16, -3*q - 12 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (15\/60)\/(1\/4). Let r be (1 - s\/2)*704. Let n = -183 + r. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the first derivative of 4*i**5\/5 - 3*i**4 + 4*i**3 - 2*i**2 - 5. Find v such that q(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*i**5 - 171*i**2 + 138*i**3 + 5*i**5 - 105*i**2 - 33*i**4 - 96 + 264*i.\nAnswer: 3*(i - 4)*(i - 2)**3*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 111355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the second derivative of 7\/2*c**2 + 5*c + 0 - 1\/6*c**3. Determine d(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**2\/11 - 25173796*x\/11 + 79215000631202\/11.\nAnswer: 2*(x - 6293449)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*p + 4*p + 8 = 0. Suppose m - 3 - p = 0. Let g = m - -3. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 5204.901t?\nAnswer: 5204901000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum -9.3 and 3.4.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -538, -536, -532, -526, -518, -508?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be 52 - (-25)\/(-5) - 5. What is the greatest common divisor of n and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -33256 (c) 2\/13 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 62 + 24 - 3*z**2 - 10 to the form p*z**2 + l*z + i and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8688 = 47*f - 63*f. Let h = 1172 - f. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**1)\/(((f\/(f\/f**(-31)))\/f)\/f*f)*f**(2\/13)\/f**(1\/9) assuming f is positive.\nAnswer: f**(3983\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**3 + 10*r**2 - 11*r + 2. Let z be h(-11). Suppose 0 = -z*m - 3*c + 4, -5*c - 6 = 4. Let d = -250 - -254. Put -2, m, d in ascending order.\nAnswer: -2, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -9*u**2 + 71*u + 28. Let k be x(8). Solve -5*v = 4*r + k, 3*r - 7*r = -5*v + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 6416685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1243046 + 10?\nAnswer: -1243036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 303b6 (base 13) in base 3?\nAnswer: 11101102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9 + 31*w**3 + 9.\nAnswer: 31*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 9824*j + 127708. What is g(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3249 - 1213. What are the prime factors of q?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -33*a**3 + a. Let y be b(-1). Let i = y - 30. Let 0 + 22*w + 0 - 21*w - w**i = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 230260 and 220?\nAnswer: 2532860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 3*c. Let h be f(1). Solve h*w - 23 = 4*q, 30 = 2*w + 3*w - 5*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify z\/z**29*((z**(2\/119)\/z)\/z)\/z assuming z is positive.\nAnswer: z**(-3687\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 11 in -2\/5, 2\/5, 1.1, -92?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be 19\/(-54) - 4\/(-18). Let c = -1\/27 + g. Suppose 5*l - 5*v = 10, -7 - 5 = 4*v. Is l bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aoagqooaqgaeao. What is prob of picking 2 g?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/58? (a) 1 (b) -0.07 (c) 110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -0.2*107172\nAnswer: -21434.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.0371 - 0.1629. What is the nearest to -1\/3 in 1\/7, -3, 2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14218722 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 52 times 5933440\nAnswer: 308538880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 3*l + 25. Let r be f(1). What is the highest common divisor of 644 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10414?\nAnswer: 2, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = -397 + 400. Let q(r) = 10*r - 22. Let w be q(c). Solve w*a - 2*a + 24 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11 + -98. Let r = 100 + f. Suppose c = 3 + r. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is r in 2\/7*r**2 - 198\/7*r - 3680\/7 = 0?\nAnswer: -16, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 50 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*v**3 + 5*v**3 + 9*v**3 + (-13*v - 3*v + 7*v)*(v**2 - v**2 + v**2).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:33 AM and 12:47 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -184*c + 178*c = -132. What is the remainder when 43 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l = 40*q - 36*q - 7, l - 23 = -5*q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -2*h - 9*h**2 - 16*h + 8*h**2 + 46. Let f be k(-19). What is the units digit of (2\/(-6)*-4)\/(18\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 300 (base 7) to base 16.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2007641 - 71?\nAnswer: -2007712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 1 d, and 1 p when three letters picked without replacement from {d: 1, i: 4, p: 2, l: 5, m: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*b - 3*b - 115. Suppose 2*y - 115 = -3*y. Calculate the highest common factor of b and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 82749498 and 94003.\nAnswer: 579246486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7 - 13. Let n(s) = 4*s - 2*s**2 + 10*s**2 + 39 - 12*s - 7*s**2 - 44. List the prime factors of n(f).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2003*b + 2000*b + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 5, 0, 1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -40 + 47. Let f be 2\/(-4)*(1 - r). Find the second derivative of 25*j**f - 13*j**3 - 4 + 14*j + 4 wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 12 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 245 a factor of 151677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, q: 1, n: 1, o: 2, z: 2, v: 1}. What is prob of sequence zq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjjgjjjrjjjsg. Give prob of sequence rj.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 11) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 250, 489, 772, 1105, 1494, 1945?\nAnswer: 2464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h - 7*h + 6 = 0. Let c(w) = 6*w - 2. Determine c(h).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ajg when three letters picked without replacement from kpgjamkag.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -44\/537 - -1919\/3759. Which is the nearest to 1? (a) -4\/9 (b) 2 (c) j (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -3, -8, 8.\nAnswer: -8, -5, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -1100000110010 (base 2) to base 12.\nAnswer: -3702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -120 - -125. What is the remainder when v is divided by -5*-4*(-2)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 485 minutes before 8:18 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1031 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y**2\/8 + 256695*y\/4 - 21964107675\/8 = 0. What is y?\nAnswer: 85565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 50.9 (b) -4 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 27088679, 27088675, 27088671, 27088667, 27088663, 27088659?\n\"Answer: -4*x + 27088683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 77112 is divided by 15117?\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 38 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.4 and 606.\nAnswer: -242.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 758407968 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*k + 3*j, 0*k - j + 3 = 3*k. Let x(q) = 47*q**2 - q + 2. Let t be x(k). Is (-3)\/(-24) + 42570\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d = -d + 21. Suppose -258 = -3*l - d. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -188 - 199 + 22*s + 387.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/8 of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -4.9 times 4623\nAnswer: -22652.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14502, -14620, -14750, -14898, -15070, -15272, -15510?\nAnswer: -15790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/2, 113, 2\/33, -47\/69?\nAnswer: -47\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7.85 - 0.15. Which is smaller: 1\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 0.990518 seconds?\nAnswer: 990518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.242 - 0.128. Let k = v - 0.13. What is k rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 320 and 1580.\nAnswer: 25280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/3 or 8.37379?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 116420, 465702, 1047828, 1862798?\n\"Answer: 116422*k**2 + 16*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/2545 > -0.33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from hjhhjhhjhh?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 2 (b) -2\/25 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -w + 13 = -0*w - 4*p, 0 = 37*p - 39*p - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 89 - 84. Let i be (-20)\/(-18)*(-12)\/10. Put o, -2, i in descending order.\nAnswer: o, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -514 by -514.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s\/((s**(-3)\/s)\/s))*s)\/s**(1\/7))\/(((s\/(s**4*s))\/s*s)\/(s*s\/(s*s**(-4))))*((s\/s**2)**(-1\/18))**(6\/13) assuming s is positive.\nAnswer: s**(1333\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 348507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -25.11 - -25. Which is the closest to 1\/3? (a) -2 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1464, -2507, -3138, -3351, -3140, -2499, -1422, 97?\nAnswer: 2064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.05976018 + -0.1202403. Let g = -0.18 - u. What is g rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15806497 divided by 72841.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -787*r**4 + 75*r**3 - 15236*r**2 - 25 wrt r.\nAnswer: -18888*r + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*l + 3*l - 2*l)*(-3 + 1 - 1)*(-l - 5*l + 0*l).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 225553411?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes before 7:31 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 630.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.02? (a) 0.3 (b) -0.5 (c) -2 (d) 2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 92 - 78. Suppose 5*j + 4*i = 7, -6*i + 7 = j - 8*i. Solve a + 17 = 4*g, -y + 3 = j*g + 4*a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 136163 and -0.4.\nAnswer: -54465.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -194\/5 (b) 0 (c) 1\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3458462 and 826?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/8 and -49\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -1882*s**2 + 13174*s. Determine v(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 32386 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -256 + 344. Let d = 104 - w. Calculate the greatest common factor of d and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = f**3 + 5*f**2 - 4*f + 12. Let m be x(-6). Suppose m = -2*u - 0 - 2. Let a(p) = p**3 + 4*p**2 + 5. Let z be a(-4). Sort u, 4, z.\nAnswer: u, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1738)\/330)\/79*48.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1204 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 2\/9, 2, 17, 5.08 in ascending order.\nAnswer: 0, 2\/9, 2, 5.08, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -24 (b) -5 (c) -2 (d) 1\/4 (e) 10\/27 (f) 1\/19 (g) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 164956 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 3007*s**2 - 6265*s**2 - 3 + 84*s**2 - 4719*s**2.\nAnswer: -13907*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1159*u**2 - 426*u**3 + 1925*u**3 - 290*u**3 wrt u.\nAnswer: 7254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 - 128*x + 4544. What is r(54)?\nAnswer: -5284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1060661 is divided by 353545?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -119 + 122. What is the smallest common multiple of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -40 - -45. Find the third derivative of 113*o**2 + 2535 - 6*o**y - o**4 + 19*o**5 - 2535 wrt o.\nAnswer: 780*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 4133022213 (base 5) to base 13\nAnswer: 19b1681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 26892 or 20941?\nAnswer: 26892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3\/404*24276\/2898. Let n = 9021\/380770 + 2\/1885. Let z = l + n. What is the second smallest value in z, -2, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6036366 and 1212.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 150929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15976454?\nAnswer: 2, 13, 19, 32341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*-967752.\nAnswer: 96775.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + -1 + -11 + 10 + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:48 PM and 6:36 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(51) + sqrt(51)*2))\/((sqrt(18) - (sqrt(72)\/sqrt(4) + sqrt(18)))\/sqrt(6)).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of -4.7 and -7.\nAnswer: 32.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1252192?\nAnswer: 2, 109, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-33)\/(-11)*(12\/(-4))\/(-21).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -2*g**2 + 4*g. Let n(b) = -b**3 + 4*b**2 - 9*b. Determine -3*n(q) - 7*y(q).\nAnswer: 3*q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 30972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4589703 or 4589737?\nAnswer: 4589703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -22406 (base 7) to base 14.\nAnswer: -2106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 18 - -554. Let r = -231 + y. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 5*q - 390. Let x(r) = -1. Let w(s) = -m(s) + x(s). Is w(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 473*a**6 + 4*a**2 + 116*a + 234*a**6 - 20*a**2 + 14*a**2 wrt a.\nAnswer: 84840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -10*h**2. Let m(l) = -68*l. Give j(m(s)).\nAnswer: -46240*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 6*c**3 + 4926215*c**2 - 4*c + 186890956?\nAnswer: 18*c**2 + 9852430*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is a5c98 - -4c?\nAnswer: a5d06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 458 = m + u, -u + 1384 = 3*m. Let h = 274 - m. What are the prime factors of (h\/(-3))\/((-4)\/6*-1)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((sqrt(104)\/sqrt(2) + sqrt(52))\/sqrt(4) - sqrt(117)*5) - (-1*sqrt(143)*-5 - sqrt(143))\/(-3*sqrt(1331)).\nAnswer: -425*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iis when three letters picked without replacement from sssssiisssisii.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*f*x**3 + 12207*f*x**2 - 10*f*x + 71*f - 4*x**3 - 3 wrt x.\nAnswer: 12*f*x + 24414*f - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7228 - 6638. What is the lowest common multiple of o and 531?\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 + 15681*g**2 + 17221*g**2 - 16.\nAnswer: 32902*g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 130311 - -13243\nAnswer: 143554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 93 - 149. Let d be (-110)\/o - 3 - (-18)\/63. Let m = 0.99 + 0.01. What is the second biggest value in -1\/2, d, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z = -24*w + 136, -12493*w = 2*z - 12491*w + 6 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3, 1.2, 0, 26?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the first derivative of 5*t**4\/4 + 32*t**3 - 6311*t**2 + 2875. Find the second derivative of a(i) wrt i.\nAnswer: 30*i + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 241 is divided by ((-2928)\/288)\/((-1)\/6)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*g - 2*g**2 - 2*g)*(0*g - g + 2*g)*(-15846*g + 178*g**2 - 329*g**2 + 15846*g - 2256*g**2).\nAnswer: 4814*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 42028, -1, -22, 5 in descending order.\nAnswer: 42028, 5, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 299 - 295. Which is the closest to -1? (a) -1.6 (b) w (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*i**3 - 7*i**3 + 9*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 115 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.5, -9.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 112 divide 1792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 101, 103, 105?\n\"Answer: 2*s + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the first derivative of -a - 2 - a**2 + 3*a**2 + 8 + 0*a**2. Calculate d(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 312 divide 2562406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 135493241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find j such that -4*j**2 + 13756*j + 28178904 = 0.\nAnswer: -1443, 4882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -3526 > -3541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (13\/(-10) + 23\/(-115))*4\/27\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1259594377 is divided by 1990?\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 15*l**2 - 12*l + 30. Let g(v) = -13*v**2 + 14*v - 31. Let n(k) = -6*g(k) - 5*p(k). Determine s, given that n(s) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -2 (b) 4\/11 (c) 1\/3 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 988 and 1110512.\nAnswer: 1110512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -93 = -0*g - 13*g + 11 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/9815 in -2\/9, 0.022, 1, 1\/4, -4?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of -4.29 and -3.\nAnswer: 12.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 7191*v - 4. Let k(t) = 14489*t - 7. Determine 3*k(c) - 5*x(c).\nAnswer: 7512*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 2\/13, -3, -1\/2, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the third derivative of -k**8\/5040 - k**7\/2520 + k**6\/540 + 7*k**3\/6 - 6*k**2. Let q(b) be the first derivative of h(b). Factor q(x).\nAnswer: -x**2*(x - 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13877971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2*1\/(-4) + (-29)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -2*a**3 + 13*a**2 - a - 58. Calculate g(0).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*i - a + 1676 - 8685, 0 = 5*i - 5*a - 17520. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0449 to three decimal places.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = -3*k - 2*c, -3*k = -4*c - 0 + 9. Let d(h) = -3*h - 34. Calculate d(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 3, y: 3, g: 7, e: 2, z: 3}. What is prob of sequence ez?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1711986763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.18? (a) 0.1 (b) 2 (c) -1\/9 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m*(m\/(m\/(m*m\/((m*(m**(-4\/3)*m)\/m*m)\/m)))*m)\/m*m)\/((m*m*m*m**4)\/m))\/(m**(-2))**(2\/9))\/((m\/m**(-2))**(-3\/8))**(1\/31) assuming m is positive.\nAnswer: m**(-2647\/2232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 1 (b) 2\/9 (c) -1.4 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2.891 from 160071887921.\nAnswer: 160071887918.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*b**6 + 5209381*b**4 + 4034505*b**2?\nAnswer: 240*b**3 + 125025144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**3 - 2*f**2 + 4*f - 3. Let h be d(2). Let c = h - 3. Suppose 0 = 5*s - 4 - 1. Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 781\/(-1065)*4\/(-66)*3*(-4)\/8.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5900916, 5900917, 5900918, 5900919, 5900920, 5900921?\nAnswer: 5900922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/4 of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 986 and 646?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5915 - 3976*d + 1972 + 1976 + 1967 - 3*d**3 - 3971*d + 7947*d.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 605*l**3 - 75*l**2 + 30. Let r(m) = 5*m**2 - 2. Determine 5*i(k) + 75*r(k).\nAnswer: 3025*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -7323 times 1343?\nAnswer: -9834789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1056 and 1320.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 4 (b) -8\/9 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qftzvvzc. Give prob of sequence czvz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -196*k. Let l(w) = 39*w. Let b(n) = -2*n**2 + 12*n - 4. Let z be b(5). Let r(v) = z*o(v) + 28*l(v). Let q(c) = 2*c**2. Give r(q(y)).\nAnswer: -168*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 526*m - 527*m + m**2 - 6*m**2 + 6 + m**3. Let f be q(5). Differentiate f - 6 - 2 - 8 + 6*t**3 wrt t.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 45 = 17*a - 13 - 27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -754, -2256, -4358, -7060?\n\"Answer: -300*d**2 - 602*d + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, 1, 47.8, 2, -3\/7, -23, -0.4?\nAnswer: 47.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1111, 4354, 9775, 17374?\n\"Answer: 1089*c**2 - 24*c + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7571 + -8209.8. Let r = v - -568. Round r to zero decimal places.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 2, 33, -4, -5, -3 in descending order.\nAnswer: 33, 2, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(343) + -1)*5 - sqrt(343).\nAnswer: -5 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 197\/4 + -49. Which is the nearest to -2\/7? (a) d (b) -0.02 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -459?\nAnswer: -2\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 493708021 and -0.071607?\nAnswer: 493708021.071607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 16*i**3 + 6*i**2 + 3. Let k(j) = -49*j**3 - 19*j**2 - 8. Let y(c) = -3*k(c) - 8*t(c). What is the third derivative of y(n) wrt n?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15612 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7697, 15426, 23155, 30884, 38613?\nAnswer: 46342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*h - 27*h + 13*h + 8*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (0 + -1)\/(13 + -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 2*n - 1709 = 0, -5345 = -3*r - 4*n - 188. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 268170 rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-22*m**2 + 8*m**3 + m**2 + 7*m - 1392926 + 1392924)*(-1 + 1 - 2*m) to b*m**2 + o + j*m + n*m**3 + k*m**4 and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 230.2 take away -0.06?\nAnswer: 230.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 902371884?\nAnswer: 2, 3, 211, 356387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.8, -2.1, 15, 4\/5?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k. Let s be 3*(-2)\/36*-6. Let a(r) = -3*r - 6 - r + 5. Give s*a(m) + 6*q(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 2*c**2. Let k(t) = -9*t + 2. Let m(w) = -28*w + 2. Let a(p) = -6*k(p) + 2*m(p). Give b(a(q)).\nAnswer: 8*q**2 + 64*q + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -239 - 7615.9\nAnswer: -7854.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 264 - -104. Calculate the highest common divisor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 11*b. Suppose -2 = 5*w - 12. Let u(i) = -w*i + 0*i + 0*i + i. Determine a(u(m)).\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*a + a. Suppose a = 2*z - 0*z - 6. Solve z*u = 6 - 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k**3 - 172*k**2 + 5989*k - 57018 = 0. What is k?\nAnswer: 17, 26, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 182 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-9)\/11 - -1 - (-72346)\/671.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 2302\/9, 2\/83, 2\/9?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u, 1 g, and 2 i when four letters picked without replacement from {l: 1, p: 2, g: 10, i: 2, u: 4}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 5791 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000025221 rounded to 7 decimal places?\nAnswer: 0.0000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 20 = 10. Suppose 3*f = 2*q + s, 12 = 5*f - 0*f - q. Find the second derivative of -b**f - 3*b**3 + b**2 + 3*b + 0*b**3 wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 20454 and 7208574.\nAnswer: 50460018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -d**3 - 1 + 2*d**3 + 4 + 0*d**3 as o*d + f*d**2 + i*d**3 + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 183060\/17289*5*(-1)\/(-25)\nAnswer: 36\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b**3\/2 + 76053*b**2\/2 + 304244*b = 0. What is b?\nAnswer: -8, 0, 76061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 4 (b) 3 (c) 0.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/(-60)*4)\/((-8)\/15).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + o = 30. Suppose n - 1 - 7 = -2*k, -2*k = -5*n - 20. Let b(f) = f**3 - 4*f**2 - 6*f + 12. What is the smallest common multiple of o and b(k)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes before 12:43 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.3 + -1.215. Let u = 1.915 + d. What is the nearest to -1\/2 in -4, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 276764186?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 12*o + 49*o**2 - 9 - o**3 - 50*o**2 + 10 in the form g*o**3 + n + z*o**2 + y*o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/14 smaller than 524081\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x**2)\/(x\/((x**13\/x)\/x)))\/(x**(2\/3)*x\/x**15) assuming x is positive.\nAnswer: x**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 435\/7 + -62. Let i = 0 - 0.2. What is the nearest to 2\/3 in -1, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 419869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11 + 11.2. Let n = -1.1 - -0.1. Let l = -0.7 - n. Which is the second smallest value? (a) h (b) 0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 52*t**2 - 2196*t + 145. Calculate u(42).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -92 - -91. Let z = -2601\/11 - -237. Which is the nearest to z? (a) 0 (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -6324, -6327, -6328, -6327, -6324, -6319?\n\"Answer: w**2 - 6*w - 6319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -5*y + 5. Let c(u) = -2*u + 2. Suppose -3*x = x + 4*l - 156, 5*x = 5*l + 185. Let f = 27 - x. Determine f*c(q) + 4*j(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 103103 (base 7) to base 6\nAnswer: 214452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + i - 23 = g, 0 = 5*i + 3*g - 85. Suppose 30 = 5*c - 2*c. Calculate the lowest common multiple of c and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3*-5*6\/(-45). Suppose 0*i + 52 = r*i. What is the remainder when i is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -11\/207640 and 107\/12.\nAnswer: 622920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-4)\/g)**21\/(g\/((g**(2\/9)\/g)\/g)*g**(-9)) assuming g is positive.\nAnswer: g**(-889\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.031 and -29.2.\nAnswer: -0.9052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11100 + 1001111100010?\nAnswer: 1001111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r**2 + 7*r - 15. Let i be v(-9). Solve -i = -3*n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -5*p - 1. Suppose -13*l = -73*l - 111*l + 1539. Let u(k) = -20*k - 4. Give l*r(y) - 2*u(y).\nAnswer: -5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 10314 and 166170?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 16, -14.8, 662, -2, 1 in decreasing order.\nAnswer: 662, 16, 1, -2, -14.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 230 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(108) + -3)**2.\nAnswer: -24*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3 + -16 + -3)\/(-1). Suppose -b - m + 22 = 0, w = b - m + 4. Calculate the least common multiple of 62\/4 + (-2)\/(-4) and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 2*w + 872 = 0, 6*m - 4*w - 1087 = m. Let i = -659\/3 + m. Which is bigger: -153 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 4 = 3*x. Let u(z) = -2*z**2 - z + 2. Let p be u(0). Let i(c) = 2 - 3 + p*c**x + 1. Let g(w) = 6*w. Calculate g(i(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*w**3 + 5*w**3 - 6*w**3 - w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*s - 4*s + 768. Let k = s + -1342\/7. Factor -k*q**5 + 2\/7*q + 0*q**3 - 4\/7*q**2 + 4\/7*q**4 + 0.\nAnswer: -2*q*(q - 1)**3*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -323, -319, -305, -275, -223, -143?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k**5 - 195080*k**4 - 2145536*k**3 - 6826360*k**2 - 4875900*k = 0.\nAnswer: -48759, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 12*n**2 + 11*n - 21. Let h be u(4). Let g = 257 - h. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 331907542 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 + -8. Let r(o) = -2*o**3 - 8*o**2 + 8. Let m(z) = -1 - 30*z**2 + 31*z**2 + 0. Calculate h*m(k) - r(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1333507 is divided by 102577?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 234*f + 3. Let j be h(0). Which is the nearest to 6? (a) 8 (b) 1 (c) j (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**2 - 7*t + 8. Determine s(-11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5144587, -10289173, -15433759, -20578345, -25722931?\nAnswer: -30867517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7, -18, -29, -40?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (3 - -2) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -114*a**3*c + 1042*a*c**2 - 107949*c**2 - 9*c - 2 wrt a.\nAnswer: -342*a**2*c + 1042*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7809743 seconds in nanoseconds?\nAnswer: 780974300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -7*k + 1. Let g = 277 - 282. Give t(g).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2\/67 + -140\/201. Let y = -0.6 + 1.6. Which is the closest to y? (a) -5 (b) j (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 120 and 84420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**3 - 14*a**2 + 38*a - 4. Is 7 a factor of i(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the first derivative of -f**4\/4 - 5*f**3\/3 + 9*f**2 - 26*f + 188. Is r(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 65155 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out 6 * 56721.58.\nAnswer: 340329.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 60959843\/100 + -609564. Let i be ((-2304)\/50)\/(-6) - (-2 + 0). Let d = i - v. Find the common denominator of -43\/22 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 13*s + 12. What is r(-7)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -108? (a) 15 (b) 678 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1010110101 - 10?\nAnswer: -1010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20 + -21002?\nAnswer: -21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 2 f when three letters picked without replacement from kkmfmkkkffff.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*m + 14*m + 32*m.\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 3, q: 1, y: 3}. What is prob of picking 2 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:58 AM and 3:29 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 0 > -2\/879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 407, -18\/5, 1, -5, -25\/4, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*i - 436 = 7*i. What is the remainder when i is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*w + 2*g + 2 = -3*w, -5*w - 2*g = -7. Let r be 4 + (1 + w - 2). Let n(l) = 5 - 4 + r - l. What is n(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1008)\/(-486) + 2\/(-27). Solve 5*f + 2*n = -29, -f = m*n + 8 + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 2, n: 4, r: 1}. Give prob of sequence nngn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**2 - 11*p + 10. Let i(f) = -5*f - 33. Let t be i(-10). Let o be t - (-3 + 5) - 5. Let d be y(o). Solve d*c - 2*b = -2*c, 0 = -3*c + b + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -32 - -78. Suppose 2*z - 3 - 5 = 0, -5*f + z - 219 = 0. Let y = m + f. What is the least common multiple of 24 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0\/((-7)\/(28\/(-8))). Sort -1, y, -5 in descending order.\nAnswer: y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4420 divided by 65?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 755469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 23*v**2 - 54*v**2 + 29*v**2. Let s(o) = -40*o**2 + 3*o. What is s(l(i))?\nAnswer: -160*i**4 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 1262, 1495, 1882, 2423, 3118?\n\"Answer: 77*n**2 + 2*n + 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of ((-120)\/(-70))\/((-4)\/(-14) + 0) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 140, -341, -6, -2 in increasing order.\nAnswer: -341, -6, -2, 5, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**4 - 18*r**3 + 54*r**2 - 54*r.\nAnswer: 2*r*(r - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4006726 is divided by 1001680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -134*p**3 - 4 + 102*p**3 + 4.\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 116 = -5*d, 5*d - 43 - 49 = 2*i. Let r(j) = 3*j + 18. Let u be r(d). Suppose 0 = -2*p + 8*p - u. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = w**3 + 65*w**2 - 964. Does 122 divide c(-63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1569570 and 1582?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -44*m**3 + 8*m**2 - 6*m + 3. Let v(w) = 58*w**3 - 9*w**2 + 5*w - 2. Let i(c) = -4*h(c) - 3*v(c). Calculate i(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h - 4*h + 32. Let i(b) = -20*b + h*b - 6*b**2 + 7 + 170*b**3 - 168*b**3. List the prime factors of i(6).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 199\/4 - 50. Let s = -226 + 100. Let a = -878\/7 - s. What is the third smallest value in a, -2\/9, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in eleven quarters of a microsecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be (1\/1)\/(34\/46614). What is the second derivative of b + 2*n + 38*n**4 - 1369 - 11*n**4 wrt n?\nAnswer: 324*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -110011100100111101 (base 2) in base 12?\nAnswer: -a2311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 145682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 30, 2, -26, -54, -82?\n\"Answer: -28*r + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 88985 and 2569060?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 598 - 91. Let r = -507.0000202 + h. What is r rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1 - ((35*-2)\/5 - 5). Suppose n*d + 3 = 21*d. What is the highest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (2214\/574)\/((-39)\/(-182))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32 divided by 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -25389730 divided by -5\nAnswer: 5077946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (-5*sqrt(76))**2 + (sqrt(19) - 1*sqrt(19)*1)**2*1.\nAnswer: 1905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-16)\/12)\/(10\/(-45)). Solve -x + 2 = -2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the second derivative of m**5\/20 - m**4\/6 - 4*m**3\/3 + 9*m**2\/2 + 4*m. Let k be v(6). Suppose 2*c + k = 3*c. Does 33 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (151*r - 1064 - 2*r**2 + 1065 + 5*r**2)*(77 - 77 - 12*r) to b + f*r**2 + n*r**3 + p*r and give f.\nAnswer: -1812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 506.4351 kilograms?\nAnswer: 0.5064351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6*(-1)\/20*1\/(-48)*20?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -2*x**5 + x**4 - x**3 + 5*x**2 - 3*x - 3. Let j(r) = 12*r**5 - 5*r**4 + 5*r**3 - 29*r**2 + 17*r + 17. Let u(g) = -6*j(g) - 34*s(g). Factor u(c).\nAnswer: -4*c**2*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i - 2*i + 5*y = 121, 0 = -i - 5*y + 19. Suppose 0 = 6*b - 4*b - 102. Calculate the highest common factor of i and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.104560531 to 3 decimal places.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 60703?\nAnswer: 60703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -16, 302\/5, -2, -3, 3\/5?\nAnswer: 302\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.06634 and -37701204?\nAnswer: 37701203.93366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -95 + -36c2b?\nAnswer: -36cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = y - 10, y - o + 4 = -3*y. Let v(p) = -2*p**2 + p - 2. What is v(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*m + 289 + 47 = 0. Let a = -60 + m. Let y = a - -8. Let s(l) = -4*l - 3. Calculate s(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 93 = -3*o, -v + o = 4*o - 12. Solve -13*w + v*w - 40 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 2 q, and 1 u when four letters picked without replacement from {n: 3, u: 7, m: 1, q: 3, o: 3, l: 3}?\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 129\/130 and 113\/9620?\nAnswer: 9620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/(-1)*142\/(-426)*((-224)\/(-12))\/(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 380663 and 1.\nAnswer: 380663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 282 - 1127\/4. Is 3313 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -966305 <= -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*g*q**4 + 32*g*q - 66*g - 368*q**5 + 23*q**2 - 2*q + 38 wrt q.\nAnswer: -48*g*q**2 - 7360*q**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-430)\/90 + 2\/(-9). Let c be v\/(-2)*(-36)\/30. Let l = -1 - c. Solve -5 = -l*w - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5250 + 15426. Suppose -212383 = -23*q + n. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/8)\/(126\/336)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -0.2, -883, 10, -5.\nAnswer: -883, -5, -0.2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 6 + 3)*(-23*a - 2*a - 327*a) + 6*a + 5*a - 4*a in the form k*a + j and give k.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let -4*v**3 - 128*v**2 - 1332*v - 4536 = 0. What is v?\nAnswer: -14, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 816984, 1633969, 2450954, 3267939, 4084924?\n\"Answer: 816985*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1365230 is divided by 59357?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (0*b**3 - b**3 - 5*b**3)*(13*b + b - 3*b) as k + g*b + w*b**2 + y*b**3 + c*b**4 and give c.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -4*v - 4 - 2 + 3*v + 3 as z*v + r and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 3*y**2 + 5*y + 4. Give j(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-52)*455\/70.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) be the first derivative of -a**4\/4 + a**2\/2 - a - 37932. Let t(v) = 6*v**3 - 5*v + 5. Let w(l) = l - 2. Let h be w(3). Determine h*t(u) + 5*s(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1713283?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -132\/7? (a) -2\/9 (b) -2\/31 (c) -5 (d) 0.5 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4 + 2\/(4\/(-6)). Let u = h + 1. Let c(v) = v**2 - 4*v - 3. Let w be c(5). Solve u*d + 5*p = -20, d + 3*p = -w*d - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 20*k - 32. Let o(f) = -7*f + 11. Let u(l) = 4*g(l) + 11*o(l). Differentiate u(a) with respect to a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -2*x + 9. Let u be h(6). Let z be u + 3 - (-6 - -1). Suppose -2*c + z = -25. Solve 5*b - c = 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p + 7*t + 94 - 183 = 0, -3*t + 56 = -2*p for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d**3 + 3*d**2 - 3*d**2)*(2*d + d - d) - 2 - 2*d**4 + 2 - 2*d**4 + 3*d**4 + 0*d**4.\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -58 + 59. Let m be o + -10 + -1 + (-16)\/(-4). Which is smaller: -8 or m?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*o - 17683 = -50*o + 1103357. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 910\/5959 + -12\/101. Let h(v) = v**3 + 8*v**2 - 34*v - 17. Let d be h(-11). Let b(o) = -o**2 - o + 30. Let w be b(d). Are w and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*y**2 + 0*y**2 + y**2)*(-3*y**2 + 3*y**2 + 5*y**2) + 3*y**4 - 13*y**4 + 0*y**4 + (-7*y**2 + 3*y**2 + 3*y**2)*(-y**2 + 3*y**2 - 3*y**2).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -2*s**2 + 3*s + 3. Let u(h) = -4. What is b(q) - 2*u(q)?\nAnswer: -2*q**2 + 3*q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 670 minutes before 8:59 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(104) - (1*sqrt(104) - sqrt(104))*5 - sqrt(104) - sqrt(104))*-3)\/(-1*sqrt(72) - sqrt(968)*-2)*5)**2.\nAnswer: 2925\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 442901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -30.9, -4, -0.4, 2\/9, 3 in decreasing order.\nAnswer: 3, 2\/9, -0.4, -4, -30.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*z - 607 = -1332 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor b**3\/5 + 1147*b**2\/5 - 47288*b + 11265584\/5.\nAnswer: (b - 92)**2*(b + 1331)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 19 and 13053?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-37)\/(-2))\/(1\/2). Let d(l) = -42*l + 548. Let r be d(17). Let k = g - r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1\/3 and -26883441 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.011003 to 4 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 28419552 by -2029968.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = 32 + 28. Calculate the greatest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1\/5871 + -628211\/82194. What is the common denominator of -27\/16 and y?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (3 + -2)\/((-1)\/(-5)). Let d(o) = -4*o + 5. Let k(r) = -17*r + 11. Let c(a) = 26*a - 16. Let f(y) = -5*c(y) - 8*k(y). Calculate q*f(g) + 8*d(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 135 = r + 7*k + 171, -20 = 5*r + 3*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 427847 to the power of 1\/2, to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*c**2*f**2 + 4*c**2*i + 2*c*f**3*i + 8*c*f**3 + 77*c*f**2 - 696*f*i wrt i.\nAnswer: 4*c**2 + 2*c*f**3 - 696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(1\/15)\/v**5 assuming v is positive.\nAnswer: v**(-74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 679 minutes before 1:42 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 36, 71, 106, 141?\n\"Answer: 35*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0004777304 rounded to 6 dps?\nAnswer: -0.000478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -5102 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor n**2\/3 - 49*n\/3 - 50\/3.\nAnswer: (n - 50)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 214*d - 2 + 199*d + 3*d**3 + 7*d**2 - 407*d as j*d + i + k*d**2 + a*d**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1014 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2 + 7)*(-13 - 3*l + 4*l - 2*l).\nAnswer: -4*l - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 48197 + -13955. What are the prime factors of p?\nAnswer: 2, 3, 13, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - b = 16. Solve b*f + 0*f + 16 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one halves of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 - (-1 - ((-13 - -1) + 2))) + 22 + -82.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -75\/2 + 979\/26. Let d = 26\/45 - 4\/5. Suppose 0 = -2*u + 1 - 7. Which is the closest to u? (a) p (b) d (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/((((v\/((((v*v\/(v\/(v\/(v\/(v*v\/v**(-9))*v)*v)))\/v)\/v)\/v))\/v*v)\/v)\/v))**43)**(2\/5) assuming v is positive.\nAnswer: v**(946\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 200673316.\nAnswer: 2, 1621, 30949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m + 4*m - 3*u - 16, -4*m + 2*u + 24 = 0. Let k be 48\/(-32)*(-8)\/6. Solve -k*n - s + m*s = -1, -4*s = 2*n - 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4016 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, -5, 2, -1178560, -4 in decreasing order.\nAnswer: 15, 2, -4, -5, -1178560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 11*g + 54. Let o be f(-5). Let s(j) = -25*j + 4*j - 2*j. Calculate the remainder when 88 is divided by s(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1344492 by 149388.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-36) - (70665\/4158 - 17).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/9, -20, -0.03402?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 182*i**2 - 182*i**2 - 2 - i**3 - 86*i**4 in the form y*i**3 + r*i**4 + q*i + n*i**2 + t and give r.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be -9*(-2 + (-10)\/(-6)). Suppose -w*k - 4 = -52. Let t = 29 - k. Calculate the highest common divisor of 26 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 87 + -65. Suppose -5*u + 5*o + 185 = 0, -4*u + 9*u = -2*o + 157. Calculate the greatest common factor of f and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in 4, -0.216, -5\/28, -4, 0.3, -3\/2, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 77077536 is divided by 621593.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + 17 = i. Suppose m - i = 34. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -3*z**3 + z**2 - 22*z + 17. What is the remainder when x(-5) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o - 13. Let g be v(-18). Suppose -2*q + 5 = 5*p, 0 = g*q - 2*p - 19 - 8. Sort -1, -5, 6, q.\nAnswer: -5, -1, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00015946 to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2 - -62c?\nAnswer: 62a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b**3 + 5*b**2 + 7*b - 1. Let o be k(5). Let q = 47 - o. Suppose c = 3*n + q, 4*c - 5*n = 3 + 28. Let r(m) = m**3 - 3*m**2 - 4*m - 5. Calculate r(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, 4, -2, 1.\nAnswer: -2, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = 11*m - 27. Suppose m*b = 65 - 33. What is the remainder when 20 - ((-3)\/1)\/(-3) is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*-3*(-2 + sqrt(2448)) + 0 + -4)**2.\nAnswer: -144*sqrt(17) + 22036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 89 minutes before 9:07 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 12.6 + -294.\nAnswer: -281.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be (0 + -63 + 0)*(-3)\/9. Suppose -h = 4*p - 25. Is 4 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 2*u = 7, 5*k - 262*u - 8 = -265*u. Which is the nearest to k? (a) -4 (b) -0.2 (c) -2 (d) -0.359\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -12*m**2 + 4*m - 1. Let d(r) = r**3 + 3*r**2 - 5*r - 8. Let y be d(-4). Let z(c) = -35*c**2 + 11*c - 3. What is y*z(o) + 11*s(o)?\nAnswer: 8*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000000825 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*g**3 - 7*g**3 - 10*g**3 - 50*g**3 - 14*g**3 + 71*g**3.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4 - 4 - 51*b + 13*b - 39 wrt b.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -113 or -1\/4269?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose k**5\/6 + 2*k**4\/3 - k**3\/6 - 2*k**2\/3 = 0. Calculate k.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 163635.3 to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 6, -11 in decreasing order.\nAnswer: 6, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*l - 3*l. Let b be ((-19)\/6)\/((-32)\/(-24)). Let a = -13\/8 - b. Is l < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -11934, -11965, -11996, -12027, -12058, -12089?\n\"Answer: -31*u - 11903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 149293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = h - 5, 0*t + 21 = -4*t + h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, 2\/3, -1\/12, 1\/35, -4\/9, -161?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -10\/183483 or 0?\nAnswer: -10\/183483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 408.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 259.4 less than 3473?\nAnswer: 3213.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 681*2.\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 762 is divided by 227.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1997, -3995, -5991, -7985, -9977?\n\"Answer: b**2 - 2001*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3046048nm in centimeters?\nAnswer: 0.00000003046048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 84 (base 11) to base 4.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -g**2 - 580537*g + 5805470 = 0. Calculate g.\nAnswer: -580547, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lllmlrlrmlmm. What is prob of sequence rmr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*g*o**3 - 34*g - 595*o**3 + 4*o wrt o?\nAnswer: -12*g*o - 3570*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 17893165 by -5.\nAnswer: -3578633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2.2? (a) 0.4 (b) 0 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -69665 = -13*s - 69782 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4803915.\nAnswer: 3, 5, 31, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35101635?\nAnswer: 3, 5, 53, 67, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -17*q**3 - 19*q**2 - 6*q - 8023. Let k(y) = -24*y**3 - 19*y**2 - 5*y - 8028. Let n(z) = 2*k(z) - 3*r(z). What is the first derivative of n(h) wrt h?\nAnswer: 9*h**2 + 38*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 393551 times -7?\nAnswer: -2754857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 24*q + 4. What is the units digit of n(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00092248 to six decimal places.\nAnswer: -0.000922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 36 = -2*c, -m - 3*m + 30 = -c. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12 - -4) + 0 + 2 + (39 - 56)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -16.21 times -0.96\nAnswer: 15.5616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -101\/4285008 and -34\/4850391.\nAnswer: 698456304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -106895, -210581, -314253, -417905, -521531, -625125?\n\"Answer: b**3 + b**2 - 103696*b - 3201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6572 and 5704.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 380.43243 milliseconds in days?\nAnswer: 0.000004403153125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 201, 264, 359, 480, 621?\n\"Answer: -f**3 + 22*f**2 + 4*f + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 4\/2348321?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a - 1453 = -2*y - 1356, -443 = -3*y + 13*a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**2 + 5*y. Suppose -4 - 6 = -5*c. Let d(z) = z + 4*z**c + z**2 - z**2. Let u be d(1). Determine k(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 3119*z + 31189. Let i be b(-10). Suppose -5*j + a + 3*a = 123, 2*j = 5*a - 39. Is i != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16984240 is divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -52065 + -35?\nAnswer: -52133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -123 = -15*w + 12*w. Suppose -4*o + 80 = -0*k + 5*k, 3*k + o = w. What is the remainder when 33 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 844 and 0.3.\nAnswer: 253.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.47 - 94825?\nAnswer: -94825.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 133984519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 388.9 - 389. Let l = 0 - 3. Which is the nearest to j? (a) -1\/9 (b) l (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 328 minutes after 12:19 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10*2\/70)\/(12\/(-105))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*l**2 + 4*l**2 - 4*l**2)*(3033 + 4066*l - 3033) to w*l + m*l**3 + s + q*l**2 and give m.\nAnswer: 8132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2913, 2, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l - 35*i = -37*i + 22, 38 = 74*l - 3*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j + a = 8, j = 3*a - 6*a + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3039 = k - 2224. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -503, -505, -507?\n\"Answer: -2*o - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1853 - 1843. Let x be (-1)\/(-3) - (-382)\/6. Calculate the smallest common multiple of l and (x\/(-12))\/(1\/(-3)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -75 = -9*v + 4*v + 2*u, 45 = 3*v + 3*u. Calculate the common denominator of (-38)\/(v\/10*4) and -131\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.27? (a) 0.3 (b) 9.97 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -299 + 301. What is the thousands digit of ((-19)\/((-114)\/4))\/(n\/5313)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve f + f = 3*c - 3, -4 = 5*f - 4*c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12, -151, -334, -537, -760, -1003?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6 + -11 + 4 - -5. Suppose 0*s - 28 = -v*j + 4*s, -4*s = -j + 13. Solve 0 = -t + 6*t + j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 3*s = -207, 0*s = -5*h + 2*s + 373. Suppose 5*f + 0*f - h = 3*k, 0 = -4*k + 16. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1161232276.\nAnswer: 2, 137, 607, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = -303 - -303. Suppose -3*q + 4*u + 12 = l, 3*q - 27 = u - 6. Let k be 54\/(-4)*(-4)\/6. Solve -3*x + q = v - 6, -3*v + k = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y - 4*i - 2896, 4*y = -5*i + 2*i + 3903. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence phkh when four letters picked without replacement from hhqqqkqpqhqph.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 2929845*h + 1 - 4 + 2929078*h + 5.\nAnswer: -767*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -37 - -79. Suppose -4*q + n = -58. Solve -q = -5*h - 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**7\/l**(2\/11) assuming l is positive.\nAnswer: l**(75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 762811\/36 - 21187. Calculate the common denominator of z and -79\/33.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**2 - 5*q - 7. Let v be n(-3). Let y be 1\/(v\/4*2) - -44. Let f = -28 + y. Calculate the remainder when 53 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - g + 15 = 0. Suppose g*i = -2*y + 134, 0 = -2*i + 3*i + 4*y - 28. Calculate the highest common factor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 532\/5 (b) -1\/118 (c) -1\/5 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 3480737 less than or equal to 3480737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -80 = -966*a + 946*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*s = -19*s + 30. Let g(y) = -y**3 + 6*y**2 + 2*y - 8. Let b be g(s). Solve 0 = -5*t - b - 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, -5, -47, 1, -669?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -17905\/4 + 4476. What is the nearest to 20 in 2, -3, c, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3860*r**2 + 4180*r**2 - 4*r - 8019*r**2.\nAnswer: 21*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 33199 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:58 PM and 7:03 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 27 + -11 - 29 - (10 - -2)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.8 (b) 2\/15 (c) 0.3 (d) 0.11 (e) -0.2 (f) -222 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 21241 - 4733. List the prime factors of q.\nAnswer: 2, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 592 + -601.46. Let f = x - 0.54. Which is the smallest value? (a) 2 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = -3*r - 20. Calculate the remainder when 33 is divided by 15\/(-6)*36\/r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*q*r + 1595852*q - 3528679*r - 3 wrt q.\nAnswer: 3*r + 1595852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16448268, -32896536, -49344804, -65793072, -82241340?\nAnswer: -98689608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2 - 5)*24\/2. Let q = -55 - g. Suppose -j - 5*o + 17 = 0, 3*j = 5*j + 5*o - q. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, x: 9, p: 1, v: 1, n: 2, l: 1}. What is prob of sequence nxp?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) be the third derivative of -29*q**6\/8 - q**5\/60 + q**4\/24 - q**3\/6 - q**2. Let w be b(1). Does 18 divide 1\/(-3) + w\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11b (base 16) in base 5?\nAnswer: -2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**2. Let a(o) = -2*o - 403. Determine a(d(s)).\nAnswer: -2*s**2 - 403","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2758 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -65917, -66272, -66627, -66982, -67337?\n\"Answer: -355*d - 65562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -2*g**2 + 6*g - 4. Let w be d(4). Let h(r) = 9*r - 28. Let o be h(2). Which is bigger: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17*w + 16*w + 6 + 0*w to h*w + a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 35, -36, 0 in increasing order.\nAnswer: -36, 0, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-3 + (1*(-1 + sqrt(1008)) + (-1 + sqrt(1008))*5)**2 + (-4 + sqrt(1008) + (4 + sqrt(1008) + 0 - sqrt(1008)) + sqrt(1008))**2).\nAnswer: -3456*sqrt(7) + 161412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:22 AM and 7:41 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1156 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: ed063 (base 16) to base 10\nAnswer: 970851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**2 + 15*w + 30. Let o be r(-9). Let n = -23 - o. Factor -h**2 - 1\/2*h + n + 1\/2*h**3.\nAnswer: (h - 2)*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 153626640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -544 = -279*d + 247*d. What is the remainder when 416\/9 - 2\/9 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43 + 328 = 7*j. Calculate the greatest common factor of 318 and j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -37, 2, 6, -5, 4 in ascending order.\nAnswer: -37, -5, -1, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4 - 4*3\/6. Let t(d) be the third derivative of d**4\/8 - d**3\/3 - 3*d**2. Let i be t(q). Solve a - i*a + 6 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 + 0. Let t(y) = -y + y + y + o. Let i(h) = 3*h**2. What is t(i(s))?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 84 take away -18.47721?\nAnswer: 102.47721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*l + 16 = 34*l + 2*g, -4*l - 4 = 10*g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 2641.304l to millilitres.\nAnswer: 2641304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**2 - 7*r + 31. Suppose -140*g + 1326 = -539 + 605. Give d(g).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 23*k - 45. Let s(z) = 28*z - 46. Let l(y) = 5*s(y) - 6*t(y). What is l(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-14)\/16*162\/(-189). Suppose -3*o - 20 = -3*s - 2*s, -4*o - 5*s + 20 = 0. Suppose -g - 1 + 2 = o. Which is bigger: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (35 + -115 - (16 - (3 - 3))) + 19?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -117, -235, -353, -471, -589?\n\"Answer: -118*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 17*s**5 + 1762*s**4 - 157*s**2 - 13856321*s?\nAnswer: 340*s**3 + 21144*s**2 - 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 5*z = -764. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-3*4*5*6*(2*sqrt(5)*2 + sqrt(5) - (sqrt(60) + sqrt(240))\/sqrt(12))*-1)**2.\nAnswer: 93312000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-50)\/(-3200) - (-1519)\/(-1984)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 4 = -0*c. Let l be (-3)\/(3\/c) + 4. Let t(w) = -w**2 + 10*w + 14. What is the units digit of t(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 13\/4 of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (40 - 43) + (5 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 4*n**3 - 3*n**2 + n - 1. Let c(h) = -h**3 + 44*h**2 - 88*h + 171. Let s be c(42). Calculate a(s).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -5*b**2 + 98*b + 1177. Give z(28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -0.4 times -0.08\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - -5. What is the second smallest value in -2, -1\/8, t?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = -3*w - 3*r, -4*w - 5 + 9 = -4*r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 2 q when three letters picked without replacement from {u: 3, q: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 52 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9 + -44\/5. Which is smaller: 20 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(6*(sqrt(245)*2 + sqrt(245)) - sqrt(245))**2 + -2 + -4 + sqrt(180)*5 + -1.\nAnswer: -283227 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 35 - (-12)\/((-20)\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p**3 + 6*p**2 + 4*p - 7. Let i be l(-5). Let q be (-1)\/i - (-21)\/6. Let f = -6 - -10. Solve 0*y + f = -q*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 150545*-15.\nAnswer: -2258175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3372*n**3 - 9882*n**2 - 63634725?\nAnswer: 10116*n**2 - 19764*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.298 - -1.298. Which is the nearest to u? (a) -4 (b) 1\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5239.284 nanoseconds to seconds.\nAnswer: 0.000005239284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 4*d - 2. Suppose -2*q - 14 = 5*i, i + 8 = -0*i - 3*q. Let y(o) = -17*o + 9. Give i*y(u) - 9*s(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 2 d when three letters picked without replacement from qqqdd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = 142347 - 142323. Let b = -67 - -139. What is the highest common factor of f and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 718*o + 1141 + 7475 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (663\/65 + -10)*-4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.43 + -0.26. Let c = 3.83 + h. Let k = 294 + -3236\/11. What is the smallest value in c, 1\/8, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -1\/6 (b) -3 (c) -53 (d) -4303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kyyvk. Give prob of sequence yk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -73*(-146)\/1087116*-12.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 49 - -48. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -g = -4*x + 17, -3*g = -7*g - x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be 48\/8 + 90\/(-14). Which is the biggest value? (a) 0.3 (b) -1\/10 (c) y (d) 0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vdslr. What is prob of picking 1 v and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 830*l**2 + 590131*l + 651. Determine x(-711).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 45 + -32. Let m = -7 + r. Let g = 6.000012 - m. Round g to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 + -4 + -1 + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 61*z**3 + 16*z**3 + 3*z + z + 10*z**3.\nAnswer: 87*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 210 and 7602.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -61775168?\nAnswer: -1\/15443792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(2736) - -2*sqrt(2736)*-1 - (3 + sqrt(1539)*1)**2).\nAnswer: 330*sqrt(19) + 7740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -73 - -40. Let y = 54 + i. What is the least common multiple of 348\/y + (-16)\/28 and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45 - (-83 + 51 + 15)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 16, e: 2}. Give prob of picking 2 u and 1 e.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*v**6 + 3*v**4 - 277*v**3 + 29699*v**2?\nAnswer: 240*v**3 + 72*v - 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 13117.042 + 10.958. Let f = c + -13127.710596. Let i = f + -0.29. What is i rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11\/3 - 8\/((-2)\/(-1))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 26952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 3*z = 8800. What is z rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 - -6. Which is the closest to h? (a) -3 (b) 0.4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4176\/145)\/36*2\/(-4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 163 divide 6520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 3*l - 11. What is m(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-3 + sqrt(637)*-2 + 1 + -1 + -2)**2.\nAnswer: -15438 - 840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 85.2 (b) -2\/13 (c) -36 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 41300 divided by 4.\nAnswer: 10325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -1, 4, -2.\nAnswer: -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + 3 + 3*r**2 + (r + 2*r - 5*r)*(0 + 2*r + 0) - 3*r**2 + 6*r**2 + 10*r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are 1445246 and 1445244 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -7*m**2 - 78*m + 20255. Determine z(-59).\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y and 1 u when three letters picked without replacement from uuyuyyu?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p be (21\/(-12))\/(-2*(-4)\/32). Let v(l) = 2185719*l + 27. Let x be v(p). Let k be 14\/(-119) - x\/51. What is k rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30965 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7 - -12. Let k(d) = -d**2 - 4*d - 6. Let n be k(-3). Let t = n + i. Which is the biggest value? (a) t (b) 2\/3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:13 AM and 9:21 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 598746, 598741, 598736, 598731, 598726, 598721?\nAnswer: 598716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -11, -4796, -17779, -43058, -84731, -146896, -233651?\n\"Answer: -683*f**3 - f**2 - f + 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 + -1. Does 19 divide ((-1)\/2)\/(s\/114)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00001822231 to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -71 - -73. Let t = -0.044 - 0.156. Sort b, -1\/2, t in descending order.\nAnswer: b, t, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -19*d**4 + 6*d**3*q - 246*q wrt d?\nAnswer: -76*d**3 + 18*d**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*o - 1712*o**2 - o**3 + 3422*o**2 - 1710*o**2.\nAnswer: -o**3 - 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 37158, 74314, 111498, 148704, 185926, 223158, 260394?\nAnswer: 297628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 732 and 4596?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -2*n**3 + 24*n**2 - 21*n + 69. Calculate r(11).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 + 11. Suppose -3*o - 20 = h - i*o, -2*h + 4*o = 24. Let b be -3*(1 - (-2)\/(-6)). Sort b, 1, h in increasing order.\nAnswer: h, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-118 + 38 + 45)*(8*c + c**3 - 8*c + (-5*c + 2*c + c)*(2*c**2 + 0*c + 0*c)) + (-2*c**2 + 0*c**2 - 3*c**2)*(0*c + 3*c - 2*c).\nAnswer: 100*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -326 - -479. Suppose 5*g + a = 265 - 14, 3*g + 3*a - u = 0. What is the units digit of (-3)\/5 - (-5030)\/g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.197 - -0.061. Let w = -0.1116 - g. Round w to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*s + 33 = v, -7220*v = 3*s - 7223*v - 45 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 882994 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/(-6) + (-61)\/(-6). Suppose -7 = -0*j + j. Let q = x + j. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 554536 (base 9) to base 10\nAnswer: 331404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-27)\/(-9)*(-4)\/6. Let d = 167\/6 - 28. Put d, t, 7 in ascending order.\nAnswer: t, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2463 - 2463 + 100*y.\nAnswer: 100*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - 1) + 6 + (1 + -10 - -20).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -439\/5570?\nAnswer: -439\/5570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 31*u + 626. Let m be j(-16). Calculate the highest common factor of m and 1235.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - 40506 = -2*z, -2*b - 61389 = -5*z + 39878. What are the prime factors of z?\nAnswer: 5, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (8\/(-3))\/((-6)\/9). Let z(w) = 4*w + 1. Let y be z(g). Let j be (-838)\/(-10) - y\/(-85). Calculate the highest common divisor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i**3 + 7*i**2 - 104*i + 1141. Give g(9).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 9) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -m**3\/5 - 6*m**2\/5 - 8*m\/5 = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -11 (b) -2 (c) -90 (d) -6\/13 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -61 - -157. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17072888?\nAnswer: 2, 7, 109, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 83*m**3 - 6*m**2 + 12*m + 76. Let v(p) = -248*p**3 + 17*p**2 - 34*p - 228. Let a = -37 - -54. Let x(y) = a*i(y) + 6*v(y). Differentiate x(u) wrt u.\nAnswer: -231*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 0, -36, -96, -180?\n\"Answer: -12*t**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*s - 5*s = 52. Let a = s + -26. Suppose 26*h - 91 + 481 = 0. Is h > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 + -1522?\nAnswer: -1520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -34*i**2. Let j(d) = 7*d**2. Determine p(j(u)).\nAnswer: -1666*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:39 PM and 6:23 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.05? (a) 0 (b) -0.3 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*d - 1262*u + 1258*u - 12, 0 = -4*d + 4*u - 24 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let -3*h**3\/5 - 7761207*h**2\/5 + 46567398*h\/5 + 24835920 = 0. What is h?\nAnswer: -2587075, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xxi when three letters picked without replacement from xxxxxxxiixx.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (((5 + sqrt(500))*6)**2 + sqrt(500) - (-2*(sqrt(500) + (5 + sqrt(500) - sqrt(500))**2) - sqrt(500))).\nAnswer: 3640*sqrt(5) + 18946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1556 and 18.\nAnswer: 14004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-10)\/(-50)*-5 + -5. Let f(i) = -i**2 - i. Let p(z) = -3*z**2 + 3*z + 9. Let l(o) = -4*f(o) + p(o). Calculate l(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -51 + (50 - 23) + (-2 - 7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -g**4 - 624*g + 602?\nAnswer: -4*g**3 - 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 14 = -34. Suppose -d*x = x - 75. What is the remainder when 29 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 64 divide 1542447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m*(m\/(m*m**(-4\/7)))\/m)\/(m\/m**7))**(-2\/121)*m**(-5)\/m*m*m*m**(-2\/9)*(m*((m**(-4)*m)\/m)\/m*m)\/(m*(m\/(m*m*m**7*m))\/m) assuming m is positive.\nAnswer: m**(12598\/7623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -200201202111121 - 120?\nAnswer: -200201202112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -860, -1758, -2682, -3632?\nAnswer: -4608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16802*b + 54*b**2 - 7*b**2 + 16802*b.\nAnswer: 47*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j**1\/j)\/j)**(-4\/23)\/((j*j\/j**15)\/j**(-2\/7)))**(-32\/7) assuming j is positive.\nAnswer: j**(-66400\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 3*g**2 + 3*g + 4. Let x be b(-4). Let d be 25\/(203\/294 - (-12)\/84). Calculate the greatest common divisor of d and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 87 divide 389673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:25 AM and 10:27 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**2 + 15*v + 61. Let k be f(-3). Solve -k*q - 64 = -9*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 460*b**2 - 9*b + 9. Let f be s(1). Let i be (-353)\/f - 11\/(-132)*9. Suppose 0 = -5*t - 2*z + 9, -4 + 13 = 3*t + 3*z. Which is greater: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 52 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**3 + w**2 - w + 94. Let n be x(0). Suppose n = c + c. Let y = -15614 + 15626. What is the remainder when c is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -332*u**2 - u. Let k(p) = -3*p. What is k(b(o))?\nAnswer: 996*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 54.6032s to milliseconds.\nAnswer: 54603.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 179392.\nAnswer: 2, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 52\/182*21\/(-84)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2.19815 take away 2536648?\nAnswer: -2536650.19815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*t - 3*a + 7, -3*t - a = -23 + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*m - 38*m = -16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 90 = 10*r - 433 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*x + 30096 = 31836 for x.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -69 in -2, 2\/3, -2\/17, -9\/661, -2\/13, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(-2\/11)*n*n**(-1)*(n**(-2\/5))**3)**(-18\/5) assuming n is positive.\nAnswer: n**(378\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 241, 19, 0, -5, -3 in descending order.\nAnswer: 241, 19, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lus when three letters picked without replacement from hulhhslhlus.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 10*q**2. Let x(f) = 14*f + 49. Let l(n) = -2*n - 6. Let j(t) = 49*l(t) + 6*x(t). Give j(r(i)).\nAnswer: -140*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 5*w + 4*y - 4 = 0, 0 = 4*w + 4*y - 28. Suppose 0 = 3*q + 2*p + 7, 4*q = -w*p + p - 6. What is the remainder when 3 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -888 + 1770. Suppose -2*r = -9*r + j. What is the remainder when r is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p. Let z(c) be the first derivative of c + c**3 + 8 - 46*c**2 + 46*c**2. Let g(i) be the first derivative of z(i). Determine s(g(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 81 is divided by 6\/((-10)\/(-8 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 53205679.\nAnswer: 53205679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:25 AM and 12:16 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -23 (b) 3 (c) 0.2 (d) 0.02 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 12800*y**2. Let k(o) = -9*o. Give k(g(l)).\nAnswer: -115200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = -180 + 176. List the prime factors of ((-15)\/20)\/(u\/256).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -0.2, -3, -2, 84, 4 in decreasing order.\nAnswer: 84, 5, 4, -0.2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 893818 is divided by 1087.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3 + 2. Suppose 10 = y - 91. What is the least common multiple of 4 and 1\/(-5) + y\/m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 61*183175.\nAnswer: 11173675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -17, -2, -30 in ascending order.\nAnswer: -30, -17, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 10043768 by -14.\nAnswer: -717412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = d**3 + 4*d**2 - 5*d - 7. Let v be w(-5). Let m(n) = -7*n + 15. Let p be m(v). Suppose h = -16 + p. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v**3 + v**2 - 2*v - 28. Is o(-5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 322030797.\nAnswer: 3, 11, 23, 337, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 9, o: 1, s: 1, l: 3}. Give prob of sequence oss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 + 7. Suppose 0 = -h*t - 2*t. Sort -2, 2, t.\nAnswer: -2, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by 8672?\nAnswer: 1\/4336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -101*b + 269 = 298*b + 9446 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**2 - 79. Let g be (-14 - -2)\/4*(7 + -4). Let q be c(g). Suppose 0 = -3*m - 17 - 1. What is the fourth smallest value in 0, q, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -235*i + 48. Let t(m) = -3*m + 83. Let x be t(30). Is g(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the second derivative of -c**3\/6 - 6*c**2 + 11*c. Let d be g(-14). Suppose -d*w = -21 - 33. Calculate the smallest common multiple of 27 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -145 - -223. Suppose -3 = 3*c - 0, 2*c + 2 = v. Suppose 3*x = -v*x + r. Calculate the highest common factor of 65 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -439 - 110 = -4*s + 119. Which is smaller: 95 or s?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-10))\/((15\/5)\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 36.1154km to millimeters.\nAnswer: 36115400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 11 + -3. Let p(c) = 5*c - 4*c**2 + 5*c**2 - 1 - 7 + c**2. Let r be p(y). Round r to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*r**4 + 4*r**2 - 2*r**2 + 4 - 4 wrt r?\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 218 divided by 2\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 44524 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/1*(-4)\/((-12)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of 172 and 3.4.\nAnswer: 584.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 156166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(-1)*(-272)\/(-952).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) 2 (c) -1.27 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2472 + 1742 = 159*k + 1511 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (125 + 1 + 68)*(2 - 1 + 0)*(4*a**3 + a**4 - 4*a**3).\nAnswer: 194*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2640 - 2635. Solve q = i*r + 8, 5*r = 3*q - 0*r - 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 2*i**2 + 6*i - 16. Let u(w) = -w**2 - 7*w + 15. Let m(p) = -4*u(p) - 3*z(p). Factor m(b).\nAnswer: -2*(b - 3)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + 3*z = 68, -2*s - 2*z + 72 = -0*s. Let v be (-1 + 17)*1\/1. What is the highest common divisor of s and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1\/14, -0.2, 3, -26\/7, 0.03, -2\/35?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 8334, 66774, 225416, 534360, 1043706, 1803554, 2864004?\n\"Answer: 8350*o**3 + o**2 - 13*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -j**4 - 5*j**3 + 5*j**2 - 4. Let u(w) = -w**4 - 4*w**3 + 4*w**2 - 3. Let g(o) = 5*u(o) - 4*z(o). Find the first derivative of g(y) wrt y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14679496351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 4*s = -0*s - 978, -3 = s. Let a(z) = z**2 + 8*z - 34. Let v be a(-11). What is the tens digit of v\/(-4) - h\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -55401 (base 7) in base 12?\nAnswer: -8079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 745485819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 2069*t + 89769. Calculate y(-44).\nAnswer: -1267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4160279126.\nAnswer: 2, 2080139563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -266747 rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 2*h**3 - 16*h**2 + 9*h - 30. Let j be w(8). Let f(g) = -51 - g**2 + g + 97 - j. Calculate f(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -835*f**4 - 3*f**2 - 1580*f. Let b(p) = 2508*p**4 + 8*p**2 + 4740*p. Let i(w) = 3*b(w) + 8*o(w). Find the second derivative of i(k) wrt k.\nAnswer: 10128*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4974342493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 19 divided by 10131967\nAnswer: 19\/10131967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7.709 + -44.291. What is the nearest to -0.1 in 2\/9, 5, 3, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -s**3 + 3*s + 28. Let p(k) be the third derivative of -k**4\/24 - 810*k**2. What is 3*p(d) + x(d)?\nAnswer: -d**3 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -6629, -12659, -18691, -24725, -30761, -36799, -42839?\n\"Answer: -p**2 - 6027*p - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2284215 and 1651128.\nAnswer: 2319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((44*29\/112288)\/((-24)\/(-22)))\/1?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -340, -135, 0, 23.\nAnswer: -340, -135, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes before 9:34 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/(-1) + -1 + 95. Let i(d) = 8*d - 7. Let m be i(6). Suppose -98 = -3*o - m. What is the highest common factor of r and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 127 minutes after 11:20 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -2068 divided by -1034\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 8c234 (base 14) to base 9\nAnswer: 568308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 3*o**3 - 8*o**2 + 11*o - 108. Let d(s) = -s**3 + 3*s**2 - 4*s + 36. What is 8*d(l) + 3*v(l)?\nAnswer: l**3 + l - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-11)\/(308\/(-80)))\/(1\/7). Suppose -w = -3*d - 9, 4*w - 16*d - 20 = -o*d. Calculate the smallest common multiple of w and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*b + 8*b + 2*b)*(126*b**2 - 263*b**2 + 178*b + 135*b**2) as d*b**2 + i + z*b + w*b**3 and give d.\nAnswer: 1246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 4271520367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -c**4 - 6*c**4 - 3*c**4 + (-c**4 - c**4 - c**4)*(2 - 3 + 3).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7791 is divided by 131?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 390800, 390266, 389726, 389180, 388628?\n\"Answer: -3*y**2 - 525*y + 391328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/4, -10, 1\/3, -0.4 in increasing order.\nAnswer: -10, -3\/4, -0.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -10459*w + 3345*w = -100552 - 297832 for w.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.23463906 and 2.9994481.\nAnswer: 3.23408716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:26 AM and 5:42 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 145013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -248007, -33\/4, -0.2, -1 in descending order.\nAnswer: 2, -0.2, -1, -33\/4, -248007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m + 14. Let g be p(10). Let c(s) = -s - 1. Let h(w) = w + 3 + 2 - 3. Calculate g*c(j) + 3*h(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the first derivative of d**3\/3 + 2*d**2 - 7*d + 267. Suppose -2*b = 17 - 7. What is m(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 33735001\/696 + -48470. Find the common denominator of -46\/9 and r.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = b**2 - 20*b - 80. Calculate the lowest common multiple of 9 and c(25).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00635 rounded to 5 decimal places?\nAnswer: 0.00635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00060871997 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t - 5*c - 28 = 0, 0 = t - 3*c - 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(21)\/sqrt(75) + -4 - (sqrt(126)\/sqrt(12))\/(sqrt(6)*1*-6))**2.\nAnswer: 2023\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-1*((sqrt(76) - -3*sqrt(76))*6 - sqrt(76)))\/(-1*-3*sqrt(256)*5).\nAnswer: 23*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-7 + 5 - 5)*((3 + 0 - 5)*(5*t + 3*t + 4*t) - t - 3*t + 3*t) to j*t + i and give j.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 110 - 122324?\nAnswer: -122214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -54*f + 320*f + 13*f - 1 + 259*f + 210*f to u*f + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10\/(-55))\/((36 - (-1533)\/(-42))*(-1)\/(-5))?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 20 = 4*j. Let i be (-64)\/(-28) + (-8)\/28. Suppose -z - i = -4*r, j = -z - 3*r + 9. Is 2 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 44, 116, 190, 224, 176, 4, -334, -880?\nAnswer: -1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 22812138 and 18610?\nAnswer: 3722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 2, -13, 0, -18 in ascending order.\nAnswer: -18, -13, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 5340000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be 25\/4*(-320)\/(-80). Solve 97 - 22 = i*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from exxexx. Give prob of sequence xxxx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -447 + 1?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ikk when three letters picked without replacement from uikkkkkkikkkuiki?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -10 - 6644827778\nAnswer: -6644827788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -1.305604+1\nAnswer: -0.305604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22377 is divided by 2251?\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0 - -1 - (-1194)\/120. Let m = h + -43\/4. Let o = 36 - 36.1. What is the biggest value in 7, o, m?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -25 + 19 + -4 + 16 + 15.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 2988 (base 16) to base 2.\nAnswer: 10100110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4433221782.\nAnswer: 2, 3, 11, 53, 422453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*u = -10*u + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4697 = 2*g + 2*r + 4759, -23*r = 9*g - 28*r + 265 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = j + 6 + 11 + 0 - 5. Let o be w(-11). Find the first derivative of -4*h + o + 2 - h wrt h.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -38\/681 and 14\/49509.\nAnswer: 11238543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -1695.71596 to the nearest ten.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 10*v + 65. Let l(u) = 4*u + 22. Let f(s) = 8*l(s) - 3*w(s). What is the remainder when 73 is divided by f(19)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 76 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4009*b**2*n**3 + 128*b**2 + 49*b*n**3 - 198*b*n - 3*n wrt n?\nAnswer: 24054*b**2*n + 294*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.8 - -6.8. Let n = f - 8. Which is the second biggest value? (a) -4 (b) n (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z - 5503*h = -5500*h - 31, h = -42*z + 589 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 44950 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = 14 - 7. Suppose -x*k = -3*k. Suppose -13 + k = -n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**3 - 80*x**2 + 131*x - 10469. Give p(80).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -198017 divided by 2\nAnswer: -198017\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 2*m + 17. Let a be t(-3). Suppose a*q - q - 690 = 0. Calculate the remainder when q is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6621 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: What is the value of 9\/(-15)*(10\/22)\/(402\/737)*-46?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - 4 = -104. Is 6 a factor of 0\/2 + (j - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1718 - 1716. Solve 13*z - g*z = -66 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 82 minutes after 12:15 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c be 9\/6 + (36\/45)\/(30\/(-50)). Let z = -0.5 + 0.3. Let f = -0.2 - z. What is the closest to 0 in f, c, -1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -106*o + 4*p - 6*p = 475 - 93, -o - 5*p = 163 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 2\/11, 5, 643, -11\/5, -2.5?\nAnswer: 643","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(21)\/(sqrt(192)*4 + sqrt(192)))**2 - (((4*sqrt(1008))**2 - sqrt(1008)) + 4)) + 3.\nAnswer: -25806393\/1600 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20134?\nAnswer: 2, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i - 2 = 0, -10 - 6 = 4*n - 4*i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = 4*v + 196, u - 139 = 3*v - 0*v. Let i = 96 + v. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*i**3*j**2 - 6*i**3*j + 2*i**3 + 77766*i*j**2 + 9*j - 750 wrt j.\nAnswer: -4*i**3 + 155532*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -11 + -609?\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -26, -113, -258, -461, -722?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 21 = -2*c, -c + 5*n = c - 29. Suppose 10 = 4*s - c. Let u be 3\/(-3) + 2 + -3. Sort 2, s, u in decreasing order.\nAnswer: s, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*k**3\/13 - 304*k**2\/13 - 1258*k\/13 + 120 = 0. Calculate k.\nAnswer: -5, 1, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -2\/33 (b) 1 (c) -1\/97 (d) -309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 87*r = 10407 - 4143. What is the smallest common multiple of 12 and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -26, -11, 3 in increasing order.\nAnswer: -26, -11, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9899 is divided by 4949.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -763 - -759. Let g = -9 + 5. Let m = g + -1. Which is the third biggest value? (a) 0.03 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9806?\nAnswer: 2, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -77\/180 and -57\/75280?\nAnswer: 677520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x be 20\/15*(-99)\/6. Let c(o) = 3*o**2 + 3. Let m(i) = -15*i**2 - 15. Let y(j) = x*c(j) - 4*m(j). Differentiate y(u) with respect to u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 5664*b**2 + 1 + 2 + 1 + 6*b.\nAnswer: 5664*b**2 + 6*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -3.69530584 to one dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -347, -350, -353, -356, -359, -362?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/31 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 604 is divided by 308?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 60 a factor of 9900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -18841 divided by 6\nAnswer: -18841\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 8 (base 11) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -113*x + 2665 = 33*x + 59*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 514 minutes after 4:53 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31 - 34 - 530399*l + 530389*l.\nAnswer: -10*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 345391 and 178582164?\nAnswer: 15017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 201351781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 50 - 4098 = -171*b + 56 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 101 + 107 - 318 + 110 - 25993*j.\nAnswer: -25993*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -2*c**2 - 18*c + 57. Suppose -53*j - 44 = -49*j. Let g be b(j). What is the greatest common divisor of 611 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o**2 + 30*o - 779. Let h be v(19). Let t = 152350\/7 - 21916. Let q = h + t. Which is the closest to 0.1? (a) q (b) 1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 4*v**3 + v**2 - 1. Suppose 7*r = -z + 2*r - 26, 3*r = -5*z - 20. Give d(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32 + 35 + (40 - (49 - 0)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) 1 (b) 24\/67 (c) -1 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1009039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2561321609 to five dps.\nAnswer: 0.25613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 8*v + 5. Let x(f) = -9*f - 6. Let z be ((-10)\/(-4))\/(2\/(-4)). Let r(o) = z*p(o) - 4*x(o). What is the first derivative of r(w) wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:18 PM and 7:11 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -65\/16024 and 7\/22033?\nAnswer: 176264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s be (259 + -1)*-2*1\/(-4). List the prime factors of (-2)\/4 - s\/(-6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.108 and -0.01474?\nAnswer: 0.09326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/(-2) + -3 + 2. Let p = 36 + -29. Is h at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 50\/21 in 1, 0, 0.3, -0.1, 0.07?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.4 (b) -7 (c) 0.5 (d) 3 (e) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -98*t + 3075. Determine i(32).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**2 - 3636*z + 7765238.\nAnswer: -2*(z - 1261)*(z + 3079)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -7\/2973314 and -28\/6627.\nAnswer: 8919942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 648\/7*a**3 - 14*a + 72*a**2 = 0. Calculate a.\nAnswer: 0, 7\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -3, 0.101, -1\/33, -4\/11 in descending order.\nAnswer: 0.101, -1\/33, -4\/11, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 106487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g**2 - 11*g + 26. Let p be n(-13). Let r be (p*(2 + -1))\/(7 + -4). Suppose 4*u = -3*m + 7*m + 20, 0 = 4*u + m - 15. Put u, r, 32 in ascending order.\nAnswer: r, u, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 215635 (base 12) in base 15?\nAnswer: a6665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be 8\/6*225\/50. Calculate the remainder when (306\/15)\/(r\/20) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -124273 by 5.\nAnswer: -124273\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2351070 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + t = -9 - 0, 0 = 5*d - t - 25. Let b(l) = 5*l**2 - 2*l + 4. Let h be b(2). Suppose h = p + d*p. Put p, 0, 0.4 in increasing order.\nAnswer: 0, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 5*h + 124, t = h + 15 + 47. Does 31 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04 less than -14.398?\nAnswer: -14.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 56 and 14433076.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 - 1. Let n be 0*((-5)\/u + -2). Suppose n = 4*c - 0*c - 68. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21\/35*10*4\/108.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 7*c**2 - 3*c - 8. Let g(f) = -6*f**2 + 2*f + 7. Let s(w) = -6*g(w) - 5*i(w). Suppose 15 = j - 14. Calculate the remainder when j is divided by s(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2398*52\/50336*-44?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*y**2 + 2*y**3 - 3*y**2)*(-873 - 950 - 842 + 639 - 252).\nAnswer: -4556*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -3, 2, 5, 3\/25, -142?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1338\/(-336) - 251\/14056.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (0 - -1) + (-6)\/(-1). What is the greatest common factor of p and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that 4*b**3 - 4192*b**2 - 265684*b - 261488 = 0.\nAnswer: -59, -1, 1108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 14d + 2?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5 + -1. Let y = x + -1. Let p = y - -17. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 48 or 709\/15?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3760626 divided by 2?\nAnswer: 1880313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -1 - ((-1)\/2 + (-44145)\/30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 0.4, 1\/7, 7\/5, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 3 = 0, -3*o + 305 = -3*u - 46. Suppose 678 + o = 14*m. What is the remainder when m is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -8833, -18364, -27895?\n\"Answer: -9531*h + 698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -10524 + 10583. Solve -63*n + h*n + 28 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-b**4 - 3*b**4 + b**4 + (0*b**3 + b**3 - 2*b**3)*(-6*b - b + 5*b) + 4*b**4 - 3*b**4 - 2*b**4)*(-4*b + 3*b - 2*b).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -281*n - 158043573 - 21262527. Round n to the nearest ten thousand.\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 9388, 5, 12 in ascending order.\nAnswer: -1, 5, 12, 9388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 30*s + 10*s - 12*s + 3*s - 3. Let y(x) = x**3 + 3*x**2 + 2. Let f be y(-3). Is h(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33019191377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11638870, 11638871, 11638872, 11638873?\nAnswer: 11638874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(576) + (sqrt(576) - -2*sqrt(576)))*1 + sqrt(576))\/(sqrt(108)\/(sqrt(27)\/(sqrt(15)\/sqrt(5) + sqrt(3)))).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2944 is divided by 212?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1036 and 23520?\nAnswer: 870240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8296 and 3794932?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 15 divided by -6\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000007719 to seven decimal places.\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 - 0. Let k = -10.33 + 5.33. What is the third smallest value in 0.04, k, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 228811 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = -245 - -253. Solve 0 = 2*g + 2*h - 6, 4*g - h - b - 9 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4 - -6. Let n = 1 - l. What is the nearest to n in -1, 2\/17, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 9\/(-5)*(-35)\/14*-6. Let w be (3 + o\/12)\/((-9)\/(-48)). Solve -w*v + 2*b - 4 = 0, 4*b - 10 = -4*v - b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the third derivative of 13*h**4\/24 + 2*h**3\/3 - 7*h**2. Let k(x) = 3*x + 1. Suppose z - 18 = -2*r, 3*r - 5*r - 36 = -2*z. Calculate z*k(g) - 4*s(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 88 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 3, l: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 34 - 33.7. Put j, 3, 1 in decreasing order.\nAnswer: 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 503 minutes after 9:23 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eyyeyyyyyye. Give prob of picking 4 y.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = -t - 5*j, j - 15 = -3*t + 10*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 388895681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 19*j - 55*j + 108. Suppose 4*s = -2*n + 28, -2*s - 10 = -0*s - 5*n. Let o be (s - -8) + 0 + -2. Solve 0 = y - 3*h + 2 - o, -17 = j*y + 2*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:34 PM and 7:07 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) be the first derivative of -z**4\/4 - 8*z**3\/3 + 9*z**2\/2 + 12*z - 4. What is the least common multiple of 8 and w(-9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 682 is divided by 165.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 517730.6cm?\nAnswer: 5177.306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 18, -12, -16, 12\/7, 0 in descending order.\nAnswer: 18, 12\/7, 0, -12, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 8481, 8490, 8499, 8508?\n\"Answer: 9*n + 8472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 - ((-1 - -1) + 0). Let d be (18\/(-15))\/(o\/20). Let p = d + 17. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q**4\/6 + 24*q**3 + 3877*q**2\/3 + 30836*q + 550095\/2 = 0. Calculate q.\nAnswer: -39, -35, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -128, -274, -480, -776, -1192, -1758, -2504?\n\"Answer: -5*o**3 - 111*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -22*b**5 - 8*b**5 + 10*b**5 + (2*b**3 - 2*b**3 + b**5)*(-1 + 0 + 3) - 2*b**5 + 0*b**5 + 3*b**5 - 2*b**5 + 2*b**5 - 2*b**5.\nAnswer: -19*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 21*a - 32. Let g be w(5). Let t = -75 + g. What is the hundreds digit of 258\/2 - t - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) -183\/35 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -r**3 + 11*r**2 - 38*r + 9. Let d(s) = s**2 - 8*s + 3. Let w(n) = -4*d(n) + u(n). Let l be (-2)\/(-9) - (-416)\/72. What is w(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 minus 77862.22448403?\nAnswer: -77864.22448403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.055458 times -3?\nAnswer: -0.166374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k**(2\/9)*k)\/(k*k*k**(-15)))**(3\/13) assuming k is positive.\nAnswer: k**(137\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j - 1 = 2*m, -4*j + 4 - 10 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -3*i - 2. Let u(m) = -3*m - 3. Let v(g) = 3*q(g) - 2*u(g). Let x(p) = -3*p + 1. Let l be x(-1). Let t(s) = 3*s + 5 - 1 - l. Determine v(t(d)).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*308\/4752*(-8)\/2?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -492154058 by 2059222.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -110 - -10100000011111001100000100?\nAnswer: 10100000011111001011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 17064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.11, -0.09, 2\/7, 2, -1, -0.4, -243?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the first derivative of d**3\/3 + d**2 + 3*d - 17. Let s be p(-1). Let f(o) = 24*o**3 + 3*o**2 - 2*o + 3. Is f(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1003\/7 - 143. Which is the biggest value? (a) v (b) 2\/13 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-8)\/4 + (-6)\/(-1). Let t(y) = -y**2 + 7*y - a*y + 2*y**2 + y**2. What is the units digit of t(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from kfkff?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10001001101011000011010 - 0?\nAnswer: 10001001101011000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1055*j**3 + j**2 - 2*j - 1141 wrt j.\nAnswer: 6330*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3 + -2. Suppose 2*c - 1 = -7. Let q = c - 1. Does u = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6 + 6. Suppose z = -o*z + 55. Suppose 4*q = -q + z. Calculate the highest common factor of q and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8 - -2) + 7 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 2*p**2 - 15*p + 10. Let n be v(7). Solve -m - 15 = n*o + m, 25 = -5*o - 3*m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*d**3 + 28*d**3 + 10*d**3 + 118*d**2 - 118*d**2.\nAnswer: 31*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6039, -6357, -6675?\nAnswer: -6993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -2*b**2 + 45*b + 1960. Let c be w(-22). Suppose -76\/5*n**c + 18\/5 + 21*n + 13\/5*n**3 = 0. What is n?\nAnswer: -2\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that 3*q**2 - 8346*q + 2074968 = 0.\nAnswer: 276, 2506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3321 and 103115943?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 521515 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 6.45 to 1 decimal place.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4 - (-1)\/(-1) - -1. Solve -s*c = 12 + 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*x - 3*x - 30 = 0. Suppose -t = -x*t. What is the second derivative of 0 - 12*a**2 + 3*a + t - 4*a wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 269301997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4 - -6. Suppose m + 25 = -f*r + 4*r, 0 = -r - 5*m + 7. What is the units digit of r\/(4\/(40\/15))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + (-108)\/(-112) + 5\/(-20).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 21640 greater than or equal to 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h - q + 20, 231*q + 25 = 3*h + 229*q. Solve -2*c - 2*c = -h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 8571*-0.376\nAnswer: -3222.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(684)*2 + sqrt(684) - (-4*(sqrt(684) - sqrt(684)*1) - sqrt(684))**2) + -3 - (sqrt(76)\/(-3*2*sqrt(4)) - -5*(sqrt(19) + 1 + -2 + sqrt(19)))**2.\nAnswer: -91915\/36 + 349*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -17900 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1 - -6344?\nAnswer: 6345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 859 plus -0.0504?\nAnswer: 858.9496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 27.39 - 29.39. Let n = 3 - 2.8. Which is the nearest to 2? (a) n (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9585 + -9585. Solve 16*r - 26*r = s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -472017 divided by 1729.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 19, 2\/47, 8.\nAnswer: -0.4, 2\/47, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -209 + 225 + (0 - 2 - -17).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = -5*u + 53. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 5421*f + 21590. Determine y(-4).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-399*d + 524*d - 241*d + (2*d - 2*d + 2*d)*(1 - 3 - 1))*(-5*d**2 + 3*d**2 + 6*d**2) in the form z*d**2 + k*d + q + r*d**3 and give r.\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 12 = -o + 45, -3*v = 4*o - 63. Let s(u) = 6725*u - 250. Let g be s(o). Round g to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 45639 and 31723254.\nAnswer: 348955794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 837 is divided by 530.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 527365891?\nAnswer: 13, 17, 2386271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = 66 + -40. Let v = 26 - y. Suppose v = -5*d - 24 + 79. What is the smallest common multiple of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 36010 and 20596.\nAnswer: 370830980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.455 - 0.055. Which is the fourth smallest value? (a) -1 (b) r (c) 0.1 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 5 + -6 + (1 - 3). Let w = x - -5. Solve -w*f - f - 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -38*h. Let r(t) be the second derivative of -7*t**3\/3 - 3*t**2\/2 - t + 20. Determine r(j(p)).\nAnswer: 532*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 123 divided by -73375?\nAnswer: -123\/73375","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Let b = 2576 - 1057. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 42*t - 2426. Let r be y(63). Which is smaller: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*t**3 + 0*t**3 - 10*t + 10*t + 8*t**3.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o + 33 = 4*j, -4*o + 2*j - 11104 = -11100 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -2208*i - 22963. Calculate a(-9).\nAnswer: -3091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 16 less than or equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-31210)\/78025)\/(6\/(-5)*2\/66)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7749859211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t - 3*v + 36 - 0, -2*t - 2*v + 20 = 0. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17398?\nAnswer: 2, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 11) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26870529.\nAnswer: 3, 7, 1279549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 483230\/160822 + (-1 - -2)*1 + (-1364)\/341?\nAnswer: 2\/421","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 18 - 11. Let o be 3*(-4 - 144\/(-27)). Calculate the greatest common factor of l and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 - 0. Let x = -25\/6 - -53\/12. Which is the closest to 0? (a) x (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 13 + 3 = 0. Solve -x + f = -d, -x - 4*x = 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 728896 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 13118, 26244, 39382, 52538, 65718, 78928, 92174, 105462?\n\"Answer: l**3 + 13119*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -130 - -196. What is the least common multiple of 30 and q?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 + 2 - -7)*64416\/65758?\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 19 = t - 5*r, -4*t = 3*r + 19. Let h(i) = 3*i**2 + i. Let p be h(t). Suppose -5*d = -p*d - 12. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -135*n + 396*n - 35925 = -218*n for n.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the first derivative of -239*t**4\/2 + 1191*t - 3476. What is the derivative of a(k) wrt k?\nAnswer: -1434*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 37.3 + -48.3. What is the closest to i in 5, -2\/7, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.16 times -745049\nAnswer: -119207.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 176 less than 6500.674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/9, 1.575, 3\/2, -2\/5, 4.55, 4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 58240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3228 + 3067 - 9518 + 4*l + 3223.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = -561 - -602. What is the remainder when 95 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y = 42*w - 760, 3*w - 871*y - 53 = -870*y for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/15*6*20*(-51)\/204?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 16038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u be 9*((-56)\/(-45) + 16\/80). Which is the third smallest value? (a) 1 (b) -5 (c) -3\/5 (d) u (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-2\/7))**(1\/2)\/((c\/(c**7*c))\/c**(1\/5)))\/((((c*c\/(c**(-7\/5)\/c))\/c)\/c**(2\/27))\/((c*(c**(3\/10)*c)\/c)\/(c\/(c*c**(-1\/2))))) assuming c is positive.\nAnswer: c**(4282\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) be the third derivative of h**6\/210 - h**5\/35 - h**4\/42 + 2*h**3\/7 - 36*h**2. Let n(l) = 0. Calculate l.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by -31?\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -2635332, -2635327, -2635322, -2635317, -2635312?\n\"Answer: 5*j - 2635337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p - 1. Let k be l(6). Suppose -5*s - k*r + 15 = 0, 3*s - r = r - 1. What is the least common multiple of s and (-9)\/(-2) + (-2)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 + 3 = 3*n. Suppose -3*a + 12 = 5*s, -n*s + 2*a = 7*a - 20. Let q(v) = -v**3 - v**2 - v + 89. Is q(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -483 + 432.4. Let w = 68 + x. Let c = w + -17.3999899. What is c rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -14 + 50. Calculate the least common multiple of 60 and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -145, -846, -2487, -5428, -10029?\nAnswer: -16650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2 - -1417?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, 5, 4, 1745448 in descending order.\nAnswer: 1745448, 9, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18)\/(-495)*181 - (-13)\/((-1001)\/14) - 4.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 385422 is divided by 25694?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*n - 6*n + 4*n + (-1 + 4 - 4)*(-2 + 2*n + 2 + 3*n + n - 2*n + 0*n - 13*n - 6*n + (2 - 2*n - 2)*(0 + 1 + 0)) to the form m + g*n and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 33, -1\/2, 0.4, 3 in descending order.\nAnswer: 33, 3, 0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*q + 3*q + 3*q - 5*q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*f**3 - 2*f**2*o**3 - 41816*f**2 - 2*f*o**2 + 9314*f*o + 2*o**3 - 7*o wrt f?\nAnswer: -30*f - 4*o**3 - 83632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g**3 + 118*g**2 + 7320*g + 782494. What is z(-114)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**3 - 46*f**2 + 88*f + 6. Let c be s(44). Solve -2*g + 19 = 3*n, 3*g = n + c + 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3138 and 698606664.\nAnswer: 3138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7, -2, -23, -62, -125?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:13 PM and 11:05 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 20 divided by 241\nAnswer: 20\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-37))**48 assuming v is positive.\nAnswer: v**(-1776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 159 divide 794977581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*g**3 + 7*g**3 - 4*g**3)*(1 - 1 + g)*(2 + 2 + 5)*(-3 + 2 + 2) to p*g**4 + m*g**2 + b*g + h + n*g**3 and give p.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 127 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.123376 rounded to 3 decimal places?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes before 1:17 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*j - 3*j - 15. Let m = j + -2. Suppose 0 = 4*u + 56 - 48. Sort u, -4, m.\nAnswer: -4, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 659 + 2163. Does 83 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 20491834?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 127\/3161010 and 71\/54?\nAnswer: 28449090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n + 5 = a, -3*n + 0*n - 3*a - 2077 = -2092 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:05 PM and 11:00 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -647*w + 641. What is p(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:00 PM and 10:22 PM?\nAnswer: 382","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes before 5:24 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 13 = -4*y. What is the remainder when y is divided by 7\/((-7)\/(-3)) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 42 - -124. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/5, 30\/2567, -2\/5, 1, -3, 3 in ascending order.\nAnswer: -3, -2\/5, -1\/5, 30\/2567, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 13) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes after 3:59 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-2500)\/(-375))\/(((-2)\/27)\/((-102)\/9)). Calculate the greatest common factor of w and 6885.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.14 - 0.05. Let t = -0.0899856 + y. Round t to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -12, -41, -90, -159?\n\"Answer: -10*r**2 + r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**2 - 5*m + 3. Let s be c(-5). Suppose s*n = 3*y + 7 - 4, -5*n + 13 = -y. Suppose y*p + 4 = 3*p. Put -4, 2, p in ascending order.\nAnswer: -4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.03226 + -866.06774. Let q = -866 - k. Let u = 1 - 6. What is the nearest to -0.2 in u, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 32902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -17*j**2 + 15*j - 10. Let p(q) = -6*q**2 + 5*q - 3. Let l(a) = 2*c(a) - 7*p(a). What is the units digit of l(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 15 - (6 - (8 + -5)) - 5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2168*p**3 + 626*p**2 - 2165*p**3 + 836*p + 839*p - 1675*p.\nAnswer: 3*p**3 + 626*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = 80 + -78. Let j(l) = 12*l**3 + 2*l**2 - 2*l + 2. Let b be j(m). What is the greatest common factor of 68 and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:05 AM and 11:04 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2 + (6 - 4)*93?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 760 divided by -5\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -24104879, -24104878, -24104877?\n\"Answer: p - 24104880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5417, 0.2, 18.765?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 11090 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -87*i - 258. Let u be m(-3). Suppose -4*v + 0*v + 5 = -5*g, 0 = -5*g - u*v + 30. Factor 8\/3*h**2 - 64\/3*h**g + 154\/3*h**4 - 98\/3*h**5 + 0 + 0*h.\nAnswer: -2*h**2*(h - 1)*(7*h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v such that 2*v**4\/5 + 2*v**3\/5 - 4*v**2\/5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 10184604659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 37\/5 of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 11818362533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3 + 1. Let v be 0\/(0 - 1) + u. What is the units digit of 4*(2*-2)\/v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*q = -q + 225. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 4*y**3 + 129*y**2 + 3*y - 2. Let b(m) = 5*m**3 + 130*m**2 + 4*m - 3. Determine 3*b(o) - 4*q(o).\nAnswer: -o**3 - 126*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify v\/v**(6\/7)*v*v*v**(2\/13)*v*((v**(-1\/9)\/v)\/v)\/v*v**6*v*((v*v\/(v\/(v**(2\/23)*v*v)))\/v**(-3\/7))**10 assuming v is positive.\nAnswer: v**(797575\/18837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u, 1 y, and 1 n when four letters picked without replacement from {b: 1, u: 2, w: 2, o: 2, n: 1, y: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 13*y. Let f(w) = 293*w + w**2 - 293*w. Calculate f(o(x)).\nAnswer: 169*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 8 - 10 + 38*v**2 - 9*v - 9 - 29*v - 1 - 8*v**3.\nAnswer: -2*(v - 3)*(v - 2)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -500, -0.2, -1.7, 2\/5 in descending order.\nAnswer: 2\/5, -0.2, -1.7, -500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -l**3 - l**2 - l + 83. Let p(g) = 7*g**2 + 0 - 51*g + 52*g - 9. Calculate the remainder when u(0) is divided by p(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 13853*g - 14013*g - 5600 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 172 (b) -1\/4 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*b + 2*b + b**3 + (-345*b + 1778*b + 1510*b)*(-3*b**2 + 2*b**2 - 6*b**2) to i*b + v*b**3 + n + g*b**2 and give v.\nAnswer: -20600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 29845.46 nanograms in micrograms?\nAnswer: 29.84546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l + 4. Let q be n(0). Suppose -q*d + 1 = -19. What is the least common multiple of d and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*h + 161 = 71*h - 54*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -2*z**2 + 12*z**2 - 2*z + 10*z**2 - 6*z**2 + 6*z**2. Let l(m) = m**2. Determine l(q(k)).\nAnswer: 400*k**4 - 80*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 42705 is divided by 21344?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n - 6*n + 12. Suppose 0 = -5*z + n*z - 5*g + 20, -3*z = -5*g + 20. Is (-1)\/(-1 + z)*7 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -96 + 192. Suppose -11*j = 5*j - y. Solve j*u + 12 = 10*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -132, -147, -170, -201, -240, -287, -342?\n\"Answer: -4*g**2 - 3*g - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(72) + -1)*-4 + -5 + 6*sqrt(450)*2)**2.\nAnswer: -312*sqrt(2) + 48673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3905203\/777 + 5026. Calculate the common denominator of h and -83\/16.\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11411, -45120, -101285, -179894, -280935, -404396, -550265?\nAnswer: -718530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a + 7*i - 3*i - 6, a + 4*i = 27. Let o(j) be the first derivative of j**3\/3 + 3*j**2 - 5*j + 1. List the prime factors of o(a).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 69924.2874 to the nearest 1000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 15? (a) 3 (b) -3\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1107\/1556 + -15\/389. What is the nearest to c in -0.2, -1, -8\/7, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) 5\/2 (b) -1 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*f - 5*d - 65, -9*f = -5*f + d - 27. Suppose 0 = -f*m + 12 + 4. What is the remainder when 4 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 4 (b) 2 (c) -1242 (d) -36 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3841 = -18*l + 29. Let n = 489 + -360. What is the highest common divisor of l and n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2016277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 437, 428, 399, 338, 233, 72, -157?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -4*(30\/(-75))\/(4\/5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -114 = 10*k - 184. Solve k*h + 20 - 55 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-p**2 + 0*p**2 + 3*p**2)*(-p**2 + 4*p**2 - p**2) - 4*p**4 + 3*p**4 + 0*p**4)*(-2*p + 62*p - 9 - 34*p + (1 - 1 - 1)*(0*p + 4*p - 3*p)).\nAnswer: 75*p**5 - 27*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 - 20110012?\nAnswer: -20110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 101 - 92. Suppose -h = 6*u - 7*u. Let t be 1\/(3\/9) + u. Is t <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ttd when three letters picked without replacement from {g: 1, t: 2, d: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1*4\/8)\/(1\/(-2)). Let c(n) = n**2 - n. Let r(y) = y**2 + 6*y - 8. Let p(o) = d*r(o) - 2*c(o). Let z be p(6). Solve -z = -v - v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -388539 - -388538907\/1000. Calculate the common denominator of n and 44\/75.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1970 divided by 27263?\nAnswer: 1970\/27263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, -2, 0.29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 4*u. Let t(n) = 19 + 2*n - 1 + 16 + 0*n. Let p be t(-19). Let b(c) = -5*c. Suppose -13 = 4*r - 1. Give p*f(k) + r*b(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -180*d - 18270 = -190*d. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 8 = 2*f. Suppose -f + 0 = -4*r. Solve -4*y - 4 = -r*u - 0*y, -3*u + 6 = 4*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 5 = -3*v, -1 = -8*m + 9*m + v. What is the first derivative of 201*n**4 - 36 - 293*n**m - 50 wrt n?\nAnswer: -368*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -19, 81, 16, 5, -3, 0, 1 in increasing order.\nAnswer: -19, -3, 0, 1, 5, 16, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 18064160*b**2*u**3 - 6*b*u**3 - 4*b*u**2 - 2*b - u**3 - 19*u**2 - 24 wrt b?\nAnswer: 36128320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 90762921 divided by -15?\nAnswer: -30254307\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 1 y, and 1 q when three letters picked without replacement from {d: 3, i: 1, g: 1, y: 1, q: 2, b: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 113\/8930 and 66\/1615.\nAnswer: 151810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 5*b + 8. Let j(c) be the third derivative of -c**4\/12 - 2*c**3\/3 - 3*c**2 - 21. Give -7*j(y) - 3*m(y).\nAnswer: -y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the third derivative of -1\/8*r**4 + 0*r - r**3 + 1\/20*r**5 + 0 - 78*r**2. Determine d, given that l(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 19 - (-6 + (2 - -5) + 5) - 1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2593987 or -2593988?\nAnswer: -2593988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 8, 3*u + 2*u = 4*x + 22. Is x\/(2*12\/(-88)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the second derivative of y**4\/4 + y**3\/6 + 2*y**2 - y. Let h = 848 - 851. What are the prime factors of v(h)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -495\/2912 - -14123\/14560. Factor -m + 3\/5*d**2 - 1\/5*d**4 + 4\/5*d - 2\/5*d**3.\nAnswer: -(d - 1)**2*(d + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) be the second derivative of b**4\/6 + 5*b**3\/3 + 4*b**2 + 6*b. Let g(j) = 6*j**2 + 31*j + 24. Let l(u) = -4*g(u) + 14*x(u). Suppose l(i) = 0. What is i?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:24 AM and 9:52 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 214808 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9564763\/189 + 50607. Let m = a - 2\/27. Find the common denominator of 11\/7 + -1 - (-2109)\/266 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/3*((-189)\/9)\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 152, 425, 790, 1253, 1820?\nAnswer: 2497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 211960 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -22 + 23 + -20 + 38 - -61.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = r**3 + 16*r**2 + 13*r + 30. Suppose -5*k + 3*q = 84, -k + 0*q - 4*q = 3. Let a be b(k). Suppose 64*i = a*i + 160. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -212 divided by -53?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 73429 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: Is 14 a factor of 1088545454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 660029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (2*f + 2*f + 0*f)*(17 - 17 + 2*f**3) as m*f + s*f**2 + b*f**3 + o*f**4 + w and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes after 2:01 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 5, -0.1, 14\/5, 1\/7, 290?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -7*v**3 + 8*v**2 + 2. Let h(t) = -33*t**3 + 41*t**2 + 11. Give 11*c(r) - 2*h(r).\nAnswer: -11*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 35700 divided by 238\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3)\/(-12) - (-26)\/(-40). Let k = -51.2 - -46.59. Let n = 5.01 + k. What is the third smallest value in s, n, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 4, c: 2, o: 2, f: 1, i: 3, k: 2}. What is prob of picking 2 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 182652 - -2?\nAnswer: 182654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8875\/4 + 2207. Let i = -12 - h. Let k = 0 + -1. Which is the nearest to i? (a) k (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71391.45 micrograms in milligrams?\nAnswer: 71.39145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1314321287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(2\/11)*q*q**(-6)*q*(q*(q\/(q*q**(-11)))\/q*q)**(-17\/3) assuming q is positive.\nAnswer: q**(-790\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 35, -0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -66 (base 10) in base 5?\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11243?\nAnswer: 11243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nzpppnpnnznpznp. Give prob of sequence pzp.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (16\/(160\/(-2)))\/(2*3\/(-120))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 1324 + (-1 + 3)*(-60)\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29293 + 30054 = n + 4*r, -3*n + 3*r + 178056 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -2*w - 28. Let m(t) = 4*t - 3. Give l(m(u)).\nAnswer: -8*u - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 10 = -5*b - 22, 5*p - 15 = 5*b. Find the common denominator of 0 - (-2)\/(p\/(-36)*-159) and -19\/11.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2.618198 to one decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 4 = -i, i - 5 + 21 = -5*h. Let n = -108 + 113. Suppose 114*z - 134*z + 80 = 0. Solve i = 5*g - z*g + 4*y, n*y - 5 = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 27 + -17. Let y = -13 + u. Sort -0.2, y, 0.4 in descending order.\nAnswer: 0.4, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 3*s. Let u(j) = -3*j - 1. Let d = 932 + -926. What is d*u(l) + 5*k(l)?\nAnswer: -3*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -257*i**3 + i**2 + 2*i + 1. Let w be g(-1). Let q = w + -125. Let s = -27 - -39. Calculate the greatest common divisor of s and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -153600 rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a + h + 17, -5*a - 3*h + 7 = -22. Suppose -a*c + 383 = -217. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0, -6151, 81, 3\/5, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + j + 6 = 0. Suppose j*i + 0 = 10. Let x = -10 + 16. What is the lowest common multiple of x and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r**3 - 42*r**2 - 40*r - 121. Let c = -78 + 121. Let l be t(c). Solve 5*n + l = 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = x - 10, 2*x + 3*a + 2*a = 18. Let z be (-134834)\/33300 + x\/18. Let p = z + -6\/925. Find the common denominator of p and 41\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 11 - (29 + (-5 - 10)). Put 32, r, 5 in descending order.\nAnswer: 32, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 81799 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -2220 divided by 740\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve u - 7 - 11 = -4*g, 0 = -3*g + 5*u + 142 - 163 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -214*w**3 - 162*w**3 + 24*w**3.\nAnswer: -352*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y = 3*i, 0*i + 2*y = 4*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 514 minutes before 5:29 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 79 or 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -14 - (3 + 4 - 1 - 11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -60016.454 to the nearest 1000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 882?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-423)\/(-4653) - (-12)\/(-44)*3745\/15?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(96) - sqrt(96)*1)\/sqrt(8))**2 - (sqrt(75) + sqrt(75) + sqrt(75)*-1 - (sqrt(48)\/sqrt(4) - sqrt(12))).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s - 5*o = 31 - 51, 3*s - 4 = -o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -5.688 rounded to one decimal place?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 10\/41 (b) -5.85 (c) -4 (d) -58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(600)*1 - (sqrt(6) - sqrt(6)*3*-5))\/(sqrt(32)*-1 - (sqrt(2) + sqrt(200))).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zaaazzzzaatzazztzzz. What is prob of picking 1 z, 1 t, and 2 a?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 19 = -d + 17 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*b - 252*b**2 + 119*b**2 + 47*b**2.\nAnswer: -86*b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00398216 rounded to 5 dps?\nAnswer: 0.00398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 + 0 - 3)*(-6*p + 75*p + 29*p) to a + d*p and give d.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (-17210)\/36141*(-1)\/15\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 8630142.146 + 0.18\nAnswer: 8630142.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 18741 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3176 and 85343090.\nAnswer: 341372360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from {u: 5, m: 7, q: 1, d: 3, a: 3}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 9955 by -5.\nAnswer: -1991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that -28*b**4\/3 + 232*b**3\/3 - 260*b**2\/3 + 56*b\/3 = 0.\nAnswer: 0, 2\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -33952*m**2. Let v(f) = -2*f**2. Give q(v(h)).\nAnswer: -135808*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -272*g - 802. Let h be y(-3). Let z = -2.1 - -2. Let j = 15.5 - 16.5. Which is the nearest to z? (a) j (b) h (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3550050 = 450*l - 225*l. List the prime factors of l.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 177 (base 9) to base 7.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -129, -240, -351, -462, -573?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + (33 - 97 - -31).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 779524?\nAnswer: 2, 53, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 636427001.\nAnswer: 7, 90918143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 7.727823 millennia?\nAnswer: 77.27823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*q**4 - 3148281*q**3 - 21742603*q**2.\nAnswer: -48*q - 18889686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -2 + (2 + (-9668)\/8)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -205*k - 1188 = -21*k + 1572 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(80))*2.\nAnswer: 8 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 7, m: 5}. Give prob of picking 1 r and 2 m.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 25, 55, 133, 283, 529, 895?\nAnswer: 1405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**3 - 98*k**2 - 461*k + 412. Let h be o(-93). Let u be (-30*(-6)\/9)\/((-2)\/(-8)). What is the greatest common factor of h and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-4)\/10)\/(5\/50). Let a(q) = q**2 + 4*q - 5. What is a(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g = -z + 9, -2*z + z + g = -6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 14 and 1380.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1110021 (base 4) to base 2\nAnswer: 1010100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 188*s = 241*s + 53 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -24 + 39. Let z(s) = s + 4. Let r be z(-1). Sort r, -3, -5, f in decreasing order.\nAnswer: f, r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) be the first derivative of 2 + 3*o**2 + 4*o - 6*o - 3. Find the first derivative of s(n) wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -183508.4271 to the nearest 1000.\nAnswer: -184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -152930 or -611717\/4?\nAnswer: -611717\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the first derivative of -145*c**3 + 82*c**2 + 15*c - 4497. Find the second derivative of y(m) wrt m.\nAnswer: -870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -94a4 (base 13) in base 3?\nAnswer: -1001020100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i**3*i\/(i\/i**7))\/(i\/i**2*i**(-2\/9)\/i*i)*(i\/(((i**0*i)\/i*i)\/i))**48*i**(2\/13)*i*(i\/(i\/(i*i**(-1)*i)*i))\/i assuming i is positive.\nAnswer: i**(7064\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 - 3 = 13*p. Are p and -1\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -5*u**2. Let p(d) = 7*d. Let t be -3 - 3*(2 + -1). Let z(m) = 20*m. Let c(n) = t*z(n) + 17*p(n). Give c(b(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:25 PM and 5:10 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -5*w**3 + 37*w**2 + 64*w - 60. Let y(d) = -3*d**3 + 19*d**2 + 39*d - 30. Let v(h) = 4*s(h) - 7*y(h). Determine v(-16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hbgamad. What is prob of sequence mb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be (2 - -1)\/(3 + 4020\/(-1336)). Let j = l - -1012\/3. Determine v so that j*v - 5 + 5\/3*v**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 207620 + 587?\nAnswer: 208317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*b - 33 - 30 + 56)*(2*b**2 - 7*b + 7*b).\nAnswer: -10*b**3 - 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0002125199 rounded to 7 dps?\nAnswer: -0.0002125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -0.197 * -24.4\nAnswer: 4.8068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -193*g - 39*g = 61 - 525. Solve 2*f - 4*y = 14, 3*y = g*f + 6*y + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -2*x + 3. Let p = -129 + 126. Give i(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1874 = 6*y + 5*f - 1952, 18 = -5*y + 3*f - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 80988.61 years?\nAnswer: 8098.861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -7*q - 3. Suppose 4*z + t - 6*t = 9, -5*z + 10 = -5*t. Let v(k) = k. Suppose 6 = -a + 2*a. Let x(h) = a*v(h) + z*m(h). Calculate x(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -971676 - 24965254. Let h = 2558465 + j. Round h to the nearest one hundred thousand.\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3 + 5)\/(4\/6). Suppose -b*r + 54 = -0*r. What is the lowest common multiple of r and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/572 and -187\/780.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 654 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x**3 - 48*x**2 - 99*x - 14. What is the remainder when 129 is divided by a(50)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (16 + 0)*((-28)\/8 - -4). Let x = c + -3. Suppose o = -x*n + 56, 2*o - 150 = -3*o + n. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -h**2 + 9*h. Let p(c) = 10*c**2 + 102*c. Give -p(q) + 10*v(q).\nAnswer: -20*q**2 - 12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*z - 4*z + 5 = 0. Let f = -13 + 8. Which is the closest to z? (a) f (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 2*z**2 + 43*z - 544. Let h be b(9). Solve -l = -2*c + 3, h*l + 18 + 8 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(65)\/sqrt(5) + 2*sqrt(13) + 4)*-3 + -5.\nAnswer: -9*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -110873\/20 or -5544?\nAnswer: -110873\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -11504 or -11505?\nAnswer: -11505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -2*j**4 - 915*j**3 + 2303*j**2 + 1380*j = 0.\nAnswer: -460, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the second derivative of -v**5\/120 + 11*v**3\/6 + 7*v. Let i(n) be the second derivative of a(n). What is i(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ba when two letters picked without replacement from abaaabababa?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**3 - 4*u**2 - 5*u + 1. Let d(l) = -2*l**3 + 9*l**2 + 12*l - 3. Let x(h) = 5*c(h) + 2*d(h). Let t(i) = -i - 5. Let w be t(-7). Determine x(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -30c2 (base 16) in base 3?\nAnswer: -122010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4 + (-182)\/(-1 - 0) is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -278*o**2 - 1502*o + 1502*o as u*o + x + t*o**2 and give t.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let 4*x**3 + 24*x**2 + 32*x = 0. Calculate x.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v - 17. Let f(h) = -5*h - 86. Let m(y) = 4*f(y) - 22*i(y). Let w be m(0). Calculate the greatest common factor of w and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4*9\/108*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*6*(sqrt(5)*6 + sqrt(5)) + sqrt(45)\/(sqrt(18)\/sqrt(2)) + -5.\nAnswer: -41*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -197*t**2 - 65?\nAnswer: -394*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**3 + 20*q**2 + 81*q + 271. Determine w(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 298 minutes before 1:52 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be 15\/(-6) - (1 + -5). Which is the second biggest value? (a) -9\/2 (b) 1\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 3658, -2\/13, 3, 5, -3?\nAnswer: 3658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes before 4:34 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 2 = -20. Let n(g) be the third derivative of 0*g + 0*g**4 + 0*g**3 + 1\/20*g**5 - 1\/40*g**h - g**2 + 0. Factor n(w).\nAnswer: -3*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 6) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -238941242*w**4 - 384377952.\nAnswer: -955764968*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be (7 - (2 + 2)) + 48. Suppose 2*g = -4*i + g - 107, -2*i - g - x = 0. Let v = i + 29. Solve 4*t - 15 = -b, -t - 5*b - v = -0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 406 = 4*h + 2*c, 67 = h + 2*c - 42. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 8*f**2 - f. Let t be p(-1). Suppose 3*w = -0 - t. What is the units digit of (-3 - 3)\/(w\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -155*u**4 + 110*u**4 - 275 + 11*u**4 wrt u?\nAnswer: -136*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3)\/(6\/(-7151206)) - 2. Let n(d) = -2*d + 12. Let m be n(5). Suppose -m*l - 5624399 = v. Round l to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1db - 2?\nAnswer: -1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the second derivative of 0*s**2 - 1\/4*s**4 - 1\/120*s**5 + 0 + 1\/3*s**3 - 9*s. Let f(z) be the second derivative of d(z). Calculate f(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*f - 10 - 46. Suppose -4*i + 70 = 5*q - 5*i, 0 = -3*q - 5*i + f. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 186.949 + -0.449. Let x = i - 187. Put 6\/13, -0.1, x, -3\/7 in decreasing order.\nAnswer: 6\/13, -0.1, -3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 38 = -222*t + 260*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38251 - 38251 - 2*l**3 + 2332*l**2.\nAnswer: -2*l**3 + 2332*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (1*sqrt(175)*-3 - (4 + 2*sqrt(175) + sqrt(175)))**2.\nAnswer: 240*sqrt(7) + 6321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (10 - 4 + 10)*(4 + 1 - 3)*(-2*y - 2 + 2).\nAnswer: -64*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1087513 and 885185.\nAnswer: 38062955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -201 (base 4) to base 15\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1119 and 30?\nAnswer: 11190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.2 - -0.1. Let s = 126 + -633\/5. What is the nearest to -5 in s, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 6 + 6*j - 4)*(9*j**4 + 120*j**4 + 216*j**4).\nAnswer: 2070*j**5 - 690*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 6 + 0 = -3*h, 0 = -5*i - 15. Suppose 2*g + 1 = h. Sort -0.1, g, -1\/4.\nAnswer: -1\/4, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 185959985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -1\/2476681?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 5 * 38461.\nAnswer: 192305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 275 + 1890453604.\nAnswer: 1890453879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 573 is divided by 95?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s + 2*s + 0*s)*(-2 + 1 - 5).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rxbxbyk. Give prob of sequence xy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-66)\/72 - (-6)\/8\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3786339733 to the nearest integer?\nAnswer: 61533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 258373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n be 28832\/520 + (2 - 0). Let i = 288\/5 - n. Let f = 0.7 + 0.3. Which is the biggest value? (a) i (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 12232 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 3*q - 2. Let a be i(2). Let n(x) = 3*x**2 + x + 4. Let s be n(0). Suppose 1184 = a*r - 5*c, 2*r = s*r + 4*c - 566. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.1408704664 from -21.1973.\nAnswer: -21.3381704664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.9989199 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -2\/5, -4\/13, -1\/2?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 3*q - 2*n - 71 = 0, n + 73 = 5*q. Solve -8*r - q = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11607 is divided by 51.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -65.79 + 55.061. Let k = o - 0.071. Let b = -11 - k. What is the nearest to b in -0.3, 4, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -8473 - 173?\nAnswer: -85e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the third derivative of 47*a**4\/6 + a**2 + 105*a. Let t(p) = 2*p**2. Determine t(b(r)).\nAnswer: 70688*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -78, 10, 0, -9 in descending order.\nAnswer: 10, 0, -9, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 1, f: 2, c: 4, l: 5, n: 2, q: 1}. Give prob of sequence qfc.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 2, 7, 16, 29, 46, 67, 92?\n\"Answer: 2*r**2 - r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/18 + (-536)\/(-18). Suppose -17 - 9 = 3*t + 5*w, -5*t - p = -5*w. Let g be t + -1 + (-5)\/(-1). Which is smaller: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4.32326 to one decimal place.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -103668871 - -2.5?\nAnswer: -103668868.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -61\/77610 and -73\/17501055?\nAnswer: 35002110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3274.\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7974 + 7983. Solve -w = -s*w - 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 6*f - 21599 = -2*q, q - f - 10796 = 0. Suppose 5*p - 4*l - q = 0, 4*p - 7989 - 659 = -2*l. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -213*m**3 + 114*m**3 + 545*m**3 + 336*m**3.\nAnswer: 782*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 582192 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*v = -335 - 655. Calculate the highest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the third derivative of u**6\/40 - 27*u**5\/20 - 57*u**4\/8 + 3971*u**3\/2 - 1295*u**2. Find b such that o(b) = 0.\nAnswer: -11, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s + z + 11 = 21, 4*s - 4*z + 24 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 119 + -116. Let a be 2\/(-4) + (-2)\/(-3). What is the closest to -1 in h, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by 391.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/15 (b) 0.02 (c) 1\/171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 14 = 3*g - g, -g + 2*j = -6. Let f(a) = -a**2 + 4*a - 3. Let u be f(g). Is 2\/213 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1 - 10\/8)*(-16)\/(-10). Suppose -3*i + i - 2*z - 10 = 0, 2*z + 6 = 0. Which is the biggest value? (a) r (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4691\/8 + 586. Which is the closest to 0? (a) v (b) -22 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vkvvvwvkwvvvwvv. Give prob of sequence vw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21110210210 - 102?\nAnswer: -21110211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**2 - 17*h + 66. Let o be g(8). What is the closest to o in -0.4, -1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) 0.8 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -1139*h**4 - h**3 + 571*h**4 + 389*h + 565*h**4 as b + w*h + a*h**3 + y*h**2 + t*h**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -70 divided by -19858.\nAnswer: 35\/9929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4170 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 220320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 125683161 or 125683167?\nAnswer: 125683167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -13*w + 15. Calculate i(4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -4*g - 5*l, -2*g + g + 3*l = -6. Suppose g = 4*r - 4*o - 28, -r + 3*r + 21 = -5*o. Determine v so that -2\/13*v**3 - 4\/13*v + 0 + 6\/13*v**r = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 12 - ((13 - -2) + -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 238.69 - 2.69. Let l = -236.4 + z. Sort 0, -2\/3, l in descending order.\nAnswer: 0, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1 + 0 - (2 - -2). Let d(z) = 3 - 26*z + 55*z - 28*z. What is d(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17588160 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 332*b**3 - 39*b**2 - 12147.\nAnswer: 996*b**2 - 78*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 3952645548 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i be -1*68\/(-72) + -1. Let h = i + -1\/9. Let x = 207\/4 + -52. Which is the biggest value? (a) x (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (-1)\/3*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 2, w: 1, g: 1, o: 1}. What is prob of picking 1 g and 2 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(50) + sqrt(150)\/sqrt(3) + 3 + (sqrt(2)*-1)**2 + sqrt(6)\/(sqrt(9)\/sqrt(3)).\nAnswer: 3 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22230.\nAnswer: 2, 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3093 - 1135. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f*f*f*f\/(f*f**(-1\/10))*f*f*f)\/f*f**19\/f assuming f is positive.\nAnswer: f**(241\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*m - 14*m - 1428 = 0. What is the second derivative of -m*b + 10*b**2 - 3 + 337*b + 3 wrt b?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 97 + 129 = 0. Let h(z) be the first derivative of -4\/5*z**5 - 14 - 4*z**4 - c*z**2 - 4*z - 8*z**3. Find r such that h(r) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*k**2 + 2*k**4 + 2*k**2)*(-20*k + 65*k + 80*k).\nAnswer: 250*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes before 10:04 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(1*(sqrt(425)*-1 + -2) + ((-1 + sqrt(425))*2 + sqrt(425) - (4 + sqrt(425) + -1 + sqrt(425))) + -5)**2.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(-3 + 2 + (1*(1 + sqrt(343)) - 2*2*sqrt(343)))*2)**2.\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 46117349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(16)*2)\/sqrt(8)*-2.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = -3*u - 344227, 2*z + 1160*u - 137716 = 1164*u. What are the prime factors of z?\nAnswer: 2, 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y**4 + y**2 + y + 1. Let l(q) = -5*q**5 + 59*q**4 - 150*q**3 + 139*q**2 - 46*q - 1. Let c(u) = l(u) + s(u). Factor c(b).\nAnswer: -5*b*(b - 9)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-35*d**2 + 5*d**2 - 4*d**2)*(5 + 106*d - 7 - 75*d) in the form o*d + c*d**2 + u + g*d**3 and give g.\nAnswer: -1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 578847 - 578805. Let f(s) = s**3 - 2*s**2 + 4*s - 5. Let l = 12 - 8. Let v be f(l). Are w and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 6, 13, 3, -0.5, 3\/5, -1\/5, -11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = t**2 - 3*t - 2. Let d be o(4). Let u be 910\/77 - d\/(-11). Suppose 0 = 7*x - x + u. Which is the nearest to x? (a) -0.5 (b) 5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 31 - 36.4. Let o = r - -6. Let s = -0.2 + o. Which is the nearest to 0? (a) s (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 13 (b) 19 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 7427337 divided by 2475779\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Let i = 1.79000025 + -1.79. What is i rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15 + -26 + 14 - (-22 + 26)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6 and 1875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(308)\/((sqrt(14)*-1)\/sqrt(2)) + (1*sqrt(99)*1 + -4)**2.\nAnswer: -26*sqrt(11) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 12 (base 5) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6508 = 36*b + 5768. Let k = b - -1180. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence esy when three letters picked without replacement from {e: 5, d: 3, s: 2, y: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + 24 = 5*q, 39*q - 12 = 34*q - t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -2162, -1\/8, 3\/22, 2\/15 in ascending order.\nAnswer: -2162, -1\/8, 2\/15, 3\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + -10 + (1 - (-22 - -48)) + -7.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.827 - 21.827. What is the nearest to 2\/5 in -0.2, -6, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/(336\/(-315))*(-1 - -3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -11 + 17. Let s(b) = b + 1. Let h be s(-5). Let i be -2 + (-6 - h) + r. Solve 0*f + i = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 0 + 3)*(g - g - g) + 124 - 57 + 17*g - 68.\nAnswer: 18*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 17 = -11. Solve -2*i + v*c - 7 = 3*i, -4*i = -3*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 71\/3 and (-10 + 171\/17)*(6 - -1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-39 - 1)\/5 - -11. Suppose -n + 3*u = -u - 621, n - c*u - 619 = 0. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 take away 1622211?\nAnswer: -1622206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 48 and 229482768?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 6*y + 1. Let c(o) = -5*o - 1. Suppose 0*h - 3 = -h. Suppose -5*w - 9 = -n - 2*n, -15 = 3*w + h*n. Let x(d) = w*t(d) - 4*c(d). Give x(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15, 31, 47, 63?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -5*d + 3*d - 6*d + (0*d + 5*d - 3*d)*(3 - 1 - 1) - d - 1 + 1 + (-1 + 5 - 2)*(0*d - d + 3*d) in the form w*d + g and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the third derivative of p**9\/60480 - p**7\/1680 - p**6\/240 - 7*p**5\/12 - 5*p**2. Let k(x) be the third derivative of m(x). What is k(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -23*k - 10 + 123*k + 10 to q*k + i and give q.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-1\/4)*n*n)\/(n\/n**(-1\/6)*n))\/(n\/((n**1*n)\/n))**(2\/29) assuming n is positive.\nAnswer: n**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 301452659?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2114*u + 521*u - 98735 = -4292*u - 22538 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w, 2 g, and 1 t when four letters picked without replacement from tiiwiggttwg.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11198*v - 22390*v + 1406 + 11193*v.\nAnswer: v + 1406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + -3 + 3 + 2 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -f + 1 - 38*f**3 + 36*f**3 - 1 + 4*f**2 to l + v*f**2 + p*f + y*f**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v be 5\/(-3) + -2 - -3. Let u be (-10)\/(-112) - 2\/(-7). Which is the closest to 0.1? (a) 1\/5 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**3 - 18*y**2 - 25*y - 51. What is l(-6)?\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 33606 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 25*u + 240 - 206 - 57 to the form m*u + t and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor r**2\/7 + 22*r\/7 + 57\/7.\nAnswer: (r + 3)*(r + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*c - 4*c**2 - 7*c - 8*c**3 + 1 + 7*c**3 to the form b*c**2 + k*c + g + u*c**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -845 divided by 10690\nAnswer: -169\/2138","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 3224652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7374257, -7374260, -7374263, -7374266?\nAnswer: -7374269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, -2\/3, 0, -7, -2, 114.89?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0.1*3001896\nAnswer: 300189.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = -5, -l - 1 = 2*c - 4. Suppose 2*q = c*r, 3*r + 4*q - 18 = r. What is the remainder when 7 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d + 17*i + 36 = 0, -4*d - 3*i = -1649 + 1670 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 235 - 101. Calculate the remainder when o is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 7 = -5*j, 0 = 4*r + 4*j - 0 - 8. Let c = -114.21 + 114.41. What is the nearest to r in -5\/6, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 times 3627376?\nAnswer: -18136880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 9 = -2*x. Suppose x = 4*d - 15. Suppose -5*h + 25 = 0, -2*b + 6*b = -h + 245. Calculate the highest common divisor of d and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -64*d**3*i**4*t**3 + 14*d**3*i**4 - 15*d**3*i*t + 2*d**3*i + 5*d**2*i**2*t**3 - d**2*t**2 - 2*i**2 wrt i?\nAnswer: -1536*d**3*i*t**3 + 336*d**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**3 - 6*z**2 - 5*z. Let h be w(-5). Suppose -15 = 5*x, h*f + 206 = 5*f + 3*x. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -29.941999 + 0.064999. What is j rounded to one decimal place?\nAnswer: -29.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 396 by -44.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - 3)*3\/(-6)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 31a454 (base 11) to base 3\nAnswer: 221222211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.07 - 0.11. What is the nearest to k in -3, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 65*u - 62*u. Is -1\/89 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-2)\/((-4)\/(-2)))\/((-2)\/(-10)). What is the units digit of 2774\/18 - f\/(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in fourty-two fifths of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 90330?\nAnswer: 2, 3, 5, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Are 207\/170542 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*w - 5*i + 60, 3*w - 9*i + 10*i - 44 = 0. Suppose 5*k - h = 554, -4*h + h + 3 = 0. What is the first derivative of 24*f + k - 5*f - 60 - w wrt f?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -509*d + g + 45 = -514*d, g = -2*d - 2*g - 83 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 2021111 (base 3) to base 7\nAnswer: 4561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j*(j\/(j\/(j\/(j**0*j*j))))\/j))**(2\/29)\/((j**(-1\/9)\/j)\/((j**(2\/17)*j)\/j))*j**5*j*j*j\/j**(-3)*j*j**(1\/5)\/((j*j**(-1\/6))\/j*j) assuming j is positive.\nAnswer: j**(564979\/44370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12, 93, 236, 447, 732, 1097, 1548, 2091?\nAnswer: 2732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mpamafvn. What is prob of sequence mp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7.2 - -4.16. Let j = 3.04 + -3. Let m = j + t. Which is greater: -6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14431292 and 24932.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 9\/(-2)*((-8700)\/675 - -12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 3499*v**2 - 5*v - 4. Let y = 6 + -4. Suppose 4*c + 28 = -y*k, k - 5*k - 11 = -c. Let q be z(k). What is q rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = c**2 + 23*c + 25. Let h be g(-20). Let n be 3\/(-5) - 1526\/h. Let w = n + 13. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 93 - 149. Let l be (-12)\/21*f\/16. Let g = 0.1 + 0.1. Which is the closest to -2\/5? (a) 1 (b) l (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**(-35))\/(m\/(m**(-2\/7)\/m)) assuming m is positive.\nAnswer: m**(-254\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4 + -630.\nAnswer: -630.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -180, -389, -644, -957, -1340?\n\"Answer: -2*j**3 - 11*j**2 - 162*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7 - 1 + 7*m - m - 3*m to the form z + p*m and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*-4*sqrt(2916))\/((sqrt(2) + (sqrt(32) - sqrt(32)*2) + sqrt(2) - (-1*sqrt(288) - sqrt(288)))*5))**2.\nAnswer: 5832\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-2\/3))**(7\/10)\/(t**(2\/3)\/t)**(-3\/11))\/(t*t\/((t\/(t\/(((t*t\/(t\/(t**(-6)*t)*t))\/t*t*t)\/t)))\/t)*t**8)**(3\/20) assuming t is positive.\nAnswer: t**(-488\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 24*q - 24*q - 17*q**2 - 3*q**2 + q**2 - q**2 + (-4*q**2 + 0*q**2 + 5*q**2)*(-1 - 1 + 0) - 41 - 110*q**2 + 47*q**2 + 64*q**2.\nAnswer: -21*q**2 - 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence npp when three letters picked without replacement from pnapyrnnndynd?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -a - c60?\nAnswer: -c6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1 and 2956298.\nAnswer: 2956298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.131714 + -0.1363. Round z to four dps.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -38*k - 9*k**2 - 7*k**2 - k**3 + 11*k**2 + 45*k. Give t(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -69*a + 156. Give b(5).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 425775901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -240, -238, -236, -234?\n\"Answer: 2*k - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-280)\/25)\/(-4)*-30. Let p = c + 152. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jdeddwjpedpzdep. What is prob of sequence eded?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 24190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1575 = -2*k - 107*g + 108*g, -3171 = -4*k - g. Calculate the remainder when k is divided by 155.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -334254500 (base 6) to base 13.\nAnswer: -13522a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -134.1 at least 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.1 (b) 2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (81498\/(-442))\/17 - (-4)\/(-26).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.156 - 2.296. Let g = -103.14 - n. Let h = 100.999999748 + g. What is h rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*(-4)\/(-14)*(-60)\/(39000\/44135).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 495 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -92 - -91.87. Let z = -64.13 - q. Let m = 63.999985 + z. What is m rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**3 + 14*f**2 - 21*f + 1606. Calculate n(18).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*w - 2*w - 12 = k, w + 11 = -3*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 343 - 183. Let l = -168 + y. What is the third smallest value in -1\/4, l, -1\/7, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 5*a**2 - 63*a - 34. Calculate p(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9285?\nAnswer: 3, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (117645\/825 + -142)\/((-42)\/(-20)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -2238192 divided by 3\nAnswer: -746064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 228*k + 22981. What is t(-102)?\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -12021454 - -5?\nAnswer: -12021449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/9, -2\/13, -2, -210\/11 in descending order.\nAnswer: 2\/9, -2\/13, -2, -210\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s + 8 = -29*i, 3*i - 159*s - 16 = -163*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = 12, 3683*i = 3686*i + 3*x + 24. Which is the nearest to 2? (a) i (b) -7 (c) -2\/11 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -7 and 4320.1609?\nAnswer: -30241.1263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from {q: 3, p: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2472632195 rounded to 3 decimal places?\nAnswer: -0.247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -161\/257910180 and -121\/3930?\nAnswer: 257910180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -23*b + 3 + 66. Let u(g) = g**3 + 13. What is the remainder when u(b) is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2048338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1164 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 133\/11 (b) 2\/7 (c) 109 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2273958 is divided by 1207?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 343*j + 149 - 45 = 4*x + 341*j, 4*x + 3*j - 94 = 0 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (35\/(-120)*-8)\/(41\/123).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16 - (13 + -30 - -2)) + -20?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that -c**2\/7 - 2041*c\/7 + 2042\/7 = 0.\nAnswer: -2042, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5950\/3 - 1984. Which is the closest to -41? (a) k (b) 0.2 (c) -0.04 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -546*z = -548*z - 40 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -b3c64 - 5?\nAnswer: -b3c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 307688431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 68\/(-4) + 5689 + 20.\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 173 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) be the first derivative of 11*b**3\/3 + b**2\/2 - b + 3. Let n be z(1). Suppose -n*s = -8*s. Solve s*d - d + 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4328139 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -22102 (base 3) to base 13.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-701464)\/(-168) + 4\/1)\/(-1). Let l = x - -4181. Find the common denominator of l and -29\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 936 and 33.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -105a (base 12) in base 2?\nAnswer: -11100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wdqssqdqw. What is prob of picking 1 d and 3 q?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (0*d + 0*d - 2*d**2)*(-5 + 3 + 4) + (3*d - 3*d + 2*d)*(5*d - 3 + 3) - 2*d**2 + d**2 + 3*d**2 as z + h*d**2 + p*d and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 392035 is divided by 98005?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2559915 and 978.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j + 132 - 128 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out 31.8212 + -1689484.\nAnswer: -1689452.1788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 4883145 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: Which is the fifth smallest value? (a) 4 (b) 25 (c) 6 (d) 1 (e) 91\/11 (f) 3\/20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 45635 (base 7) to base 11\nAnswer: 8821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -24.26 in 2\/169, 5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1079844, -4319309, -9718418, -17277171, -26995568, -38873609?\nAnswer: -52911294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8114 is divided by 263?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*u**3 - 6*u**3 + 6*u**3 - u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 169 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 131\/20150 and 1\/153140.\nAnswer: 765700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 6348233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 231 divide 162232853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(1*-15))\/((-11780)\/250 + 38 + 9)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**3 - 21159241*x**2 - 111928359344399*x + 111928380503641.\nAnswer: -(x - 1)*(x + 10579621)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((-13)\/(2600\/1390) + 7)*20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -36, -72, -96, -102, -84?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o - 4*k - 4 = 0, -k + 45996 - 45981 = -5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**2 - 10*y - 8. Suppose 256*r + 26 = 257*r + 4*k, k = 5*r - 46. Determine t(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -11257 - -11249. What is the closest to -2 in -3\/4, q, 0.2, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19276 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 15*q - 168. Let p be o(13). What is the greatest common factor of 6 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 407 divide 3851848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 896246 divided by -448123.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4*(119\/14)\/17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve a + 46 = -4*n, 4*n - 3993 = -5*a - 4031 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -8317814 divided by 4?\nAnswer: -4158907\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6514917\/359 or -18147?\nAnswer: -6514917\/359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**3 - u**2 + 79*u + 7. Calculate the remainder when g(8) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 49720 and 88?\nAnswer: 49720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2249 is divided by 115?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 196289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 5*j**3 + 49*j - 6. Let s(f) = 4*f**3 + 51*f - 7. What is -7*p(g) + 6*s(g)?\nAnswer: -11*g**3 - 37*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 28619 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(110)\/(sqrt(5) - (sqrt(5) + -4*sqrt(5) - sqrt(5))))\/sqrt(11).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 676 minutes after 9:01 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -14*d**3 + 1958*d**2. Let y(m) = 5*m**3 - 650*m**2. Give -3*x(q) - 8*y(q).\nAnswer: 2*q**3 - 674*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 118929002*p - 17304342?\nAnswer: 118929002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-1\/4)*k*k**(1\/3)*k*k*k**(-1\/8)*k*k**1*k*k*((k*k\/(k*k**(-5\/6)\/k))\/k*k*k*k**(1\/2))\/(k**(2\/13)\/(k\/(k*k**(-3)))) assuming k is positive.\nAnswer: k**(4411\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(425)*-1)**2 - (sqrt(425)*-1)**2*-2 - ((sqrt(425) - (sqrt(425) + -1))**2*-5 - (1*sqrt(425) + 3)).\nAnswer: -35*sqrt(17) + 1299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + -3 - 6 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11412.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17557.\nAnswer: 97, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 32 less than 0.919?\nAnswer: -31.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u = 3*x - 247, -x + 7*u - 2*u + 69 = 0. Suppose -9 + 1 = -2*a. Calculate the remainder when x is divided by (-4)\/16*a*(-19 - 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 78108 or 78105?\nAnswer: 78108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b18 (base 14) to base 12\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -9 - (12 + (2 - 17) + -14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -75*a + 26 = -i - 70*a, -2*i - a = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2610 divided by -435?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g**2 + 74*g - 153085. Calculate a(356).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 34803 and -5?\nAnswer: 34808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3472 = -117*l + 1249 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 82?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -48 - -90. Suppose -y - 174 = -6*v. Calculate the greatest common divisor of v and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1680 and 13438320?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes before 4:01 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = 6*v - 3*n - 20, 0 = -5*v + n + 18. Calculate the remainder when 4 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 5*m**2 + 8*m. Let a(d) = 3*d**2 + 5*d. Let x(u) = -8*a(u) + 5*f(u). Factor x(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = -c - 3*h + 51, -3*c = 2*h - 49. Let m be (55 - -1) + -2 + 2. Let l = -27 + m. Calculate the remainder when l is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/97 in -8582, -2, 1\/30?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Subtract 92 from 5343.\nAnswer: 5251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.051*2025.\nAnswer: 103.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k**3 + 8*k**2 - 9*k + 5. Let j be f(-9). Let l = -122 + 380. Let y = -254 + l. Solve j = -9*d + y*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8 + -8. Let c(p) = -p - 7. Give c(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f - 68 = -4*w, -13728*w = -19*f - 13724*w - 156 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 61\/2 of a decade in years?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 85, 84, 83, 82, 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8602 + -9969. Which is the nearest to 2? (a) v (b) -2\/17 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.02 (b) 4 (c) 5 (d) -1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 5, s: 1, j: 4, v: 2, a: 1, z: 2}. What is prob of sequence ivzi?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -2409, 0.3, 0.4.\nAnswer: -2409, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/(-2)*2 - 2 - 10801307. Let z = 4201307 + p. What is z rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 94.64336 years in months?\nAnswer: 1135.72032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 2*n**3 + 7*n**2 + 11*n - 4. What is h(-4)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-1\/4))**(-50)*(b\/((b\/(b**(-2\/3)\/b))\/b*b))**(-28) assuming b is positive.\nAnswer: b**(355\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -160953*l**2 + 162024*l**2 + 14*l - 14*l.\nAnswer: 1071*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0\/2 + (1 - -1). Suppose -3*r = 3, n*f - 3*f + 2 = r. Let q be 2\/8 + (-91)\/(-52). Solve -5*c = 3*o + 12, f*o + q*c + 16 = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l + 3*c - 8 = 0, l + 246*c = 245*c + 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.914 in 3.1, -148, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**6*a\/((a**3*a)\/a)*a*a**(-2\/13)\/(a**0*a))\/((a**(2\/3)*a)**(1\/48)\/(a*a**(-1)*a**(2\/7)\/a*a)) assuming a is positive.\nAnswer: a**(53689\/13104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -2565000 to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-1)\/2)\/(2\/(-4)). Suppose -6 = -2*j - o, 0*o = -3*j - 4*o + 14. Let r(b) = b**2 + b**3 + 0*b**j - 1 - 2*b**3. What is r(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l = -2*l. Suppose -5*z + 3*b = b - 12, l = -3*z - 4*b + 2. Is 1 - ((-9)\/6*z - 714) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -750*b**2 - 760*b**2 + 1501*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 85908, 85883, 85856, 85827, 85796, 85763, 85728?\n\"Answer: -k**2 - 22*k + 85931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 120 and 575265?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -687, -1061, -1435?\n\"Answer: -374*q - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 292\/5 + -58. Suppose 3*f = 4*q - 16, 4*q - 4 = 3*q. Factor 0 + f*c + s*c**3 + 0*c**2 - 2\/5*c**4.\nAnswer: -2*c**3*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 14*r - 1. Let x(s) = -27*s + 2. Let m(v) = -9*l(v) - 4*x(v). What is the remainder when m(-1) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2003188 to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10707.3 + -10707. Which is the nearest to 2\/5? (a) -3 (b) f (c) 2\/11 (d) -70\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1*-56992126\nAnswer: 5699212.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let 3*v**5 - 79068*v**4 + 316242*v**3 - 474348*v**2 + 316227*v - 79056 = 0. What is v?\nAnswer: 1, 26352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h be (0\/(-2))\/(1 + 0). Suppose -3*j = t - h*t - 3, 2*t - 6 = 2*j. Suppose -3*c = 5*u - 118, t*c + u - 106 = 2*u. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 38, -1, 4 in increasing order.\nAnswer: -1, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -19, -38, -57, -76?\n\"Answer: -19*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 6. Let c(l) = -43*l - 33. Let r(p) = c(p) + 6*t(p). Give r(-1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 180068115 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let 2*x**4 + 25*x**2 + 22*x**3 - 41*x**3 - 31711*x + 31703*x = 0. Calculate x.\nAnswer: 0, 1\/2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -5755 - -14653?\nAnswer: 8898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0*(0 - (-3 + 2)). Suppose l*r = 3*r - 6. Let g(q) = 3*q - 3. Let u be g(r). Solve -u*d - 25 = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3824.813ml to litres.\nAnswer: 3.824813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -22*x + 556. Calculate the remainder when 7858 is divided by t(24).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -1201 (base 3) to base 5\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from kzvkzbuzkzlzlku.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 7141689 to the power of 1\/2, to the nearest integer?\nAnswer: 2672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 2249026 less than 2249026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14119765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -21 + 26. Let p = -188\/377 - -10\/29. Let w = 20 - 18. Which is the second smallest value? (a) w (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/(-8)*2295\/(-5508)*(-12)\/10*-96.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 = c + 2*c. What is the units digit of c\/4 + (-1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ehc when three letters picked without replacement from chce.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35 = -4*g - g. What is the common denominator of ((-3)\/4)\/(12\/110) and (2\/4)\/(g\/106)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -160*r - 1699. Calculate o(-11).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (v**3 + 3 - 3 + (-v**2 + 4 - 4)*(-3 + 3 - v) - 3*v**3 - 3*v**3 + v**3)*(-2 - 3 + 0).\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -35\/39659 and 29\/10.\nAnswer: 396590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -81584061 minus -1267.3?\nAnswer: -81582793.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o - 15, -i - o = 2*i - 59. Suppose 24 = -2*l + i. Put 0.1, 2, 4, l in increasing order.\nAnswer: l, 0.1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 31\/791 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1387 (b) -12 (c) -815\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30 - 2*f**3 + 30 - 149*f - 36*f.\nAnswer: -2*f**3 - 185*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -37 in -56, -0.3, 198?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 873.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -198 + 191 + (0 + 0 - -871) is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -2\/1695?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 35\/27579 and -91\/30.\nAnswer: 275790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -2508 by -6.\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-315)\/210)\/(3\/(-92)). Suppose -5*z - 20 + 5 = 0, -b - 4*z = -75. Let h = b - m. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/909, 3\/2, -3, 5, 1891.\nAnswer: -3, 2\/909, 3\/2, 5, 1891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -100 (base 2) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 573*c - 1151*c + 556*c. Let w(g) be the first derivative of 2*g**2 - 2. Give u(w(b)).\nAnswer: -88*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) be the third derivative of -3\/20*v**5 + 7*v**2 - 1\/24*v**4 + 0*v - 5\/6*v**3 - 1\/15*v**6 + 0. Is c(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -20981 in 2\/11, -2\/9, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 83*v - 356 + 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -14*u**3 + 364*u**2 + 2*u - 111. Give v(26).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1379234?\nAnswer: 2, 151, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + -2. Let a(i) = -8*i**3 - 2 - i**2 - 16*i - 2*i**2 + 11*i. Let w(m) = -m**2 - m - 1. Let n(u) = j*w(u) + a(u). Give n(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 46*1\/(-3 - -5). Suppose 0 = -x*z + 2*z + 1512. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 - t**5 + 0 - 5 + 2*t**5 + 5 + (4*t**3 + t**3 - 4*t**3)*(-3 + 3 + t**2) + (-26 + 26 + 2*t**2)*(108 - 108 - 7*t**3) - 2*t**5 + t**5 + 0*t**5.\nAnswer: -13*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -1298 at least -698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -2*z - 2*z. Suppose r = -3*w + 136, -w + 5*r + z = -47. What is the units digit of w - (-1)\/2*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 610*t - 5*t = 946 - 15466 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -39 + 8. Let p = 49 + i. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -248561 and 34610.\nAnswer: -213951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kmkggmkgmkrkg. What is prob of picking 2 m?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 782 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**2 + 21*z + 24. Let q be x(-19). Let o be (-10)\/(-175)*-5 + (-46)\/q. Solve 5*k + 2 = -3*d - o, -1 = k + 3*d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 10*l + 13. Give r(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 - 4)*(0*t**2 + 0*t**2 + 25*t**4).\nAnswer: -25*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 39 minutes before 11:08 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1.65 times 1.5153?\nAnswer: 2.500245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the first derivative of r**4\/4 - 2*r**3\/3 - r**2 - 3*r - 1. Let s be q(4). Let m be (s\/(-14))\/(2\/(-4)). Solve 6 = -m*j + 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 306.4607ug to grams.\nAnswer: 0.0003064607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -c**3 + 9*c**2 - 3*c - 2. Let j be r(5). Find the first derivative of -25*s - 3*s + j - 60 wrt s.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15421501 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/28383 (b) 37 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 1, -15071 in descending order.\nAnswer: 5, 1, -15071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from fiii.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/1*24\/7620*(-55)\/(-11)?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 1)*(-7*s + 8*s - 4*s**5 + 0*s).\nAnswer: -4*s**5 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00065304 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 65925248?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k + 8. Let l be p(4). Suppose l*n - 220 = 4*q, -3*n + 173 = -2*q + q. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.707 - -0.023. Let a = -0.7361 + l. Round a to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5.5 - -5.1. Let q be 70\/(4\/((-4)\/(-3))). Let o = q - 22. Which is the second biggest value? (a) o (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 202 = 5*y, 4*o - 4*y - 19 = 229. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -8627 greater than -8626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 - 0. Suppose -2*y = 2*a - 3*a + 1, -j*y + 19 = 3*a. Let t = 8 - y. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -111\/44 and 166\/(-996) - 8\/39.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -7 + 11. Suppose -4*w - d*x = -80, 0 = 2*w - 0*w + x - 40. What is w rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (6 - 1)\/((-7)\/(-3) + -2). Let j = b + 29. Let q(l) = 47 - 3*l + j - 97. Calculate q(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*2327.\nAnswer: 6981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (-1 + (sqrt(76)\/sqrt(4)*6)**2 + sqrt(304)*5 + (sqrt(19) + -3 + sqrt(38)\/sqrt(2) - (sqrt(190)*-1)\/sqrt(10))**2 + 4)*2.\nAnswer: 4*sqrt(19) + 1737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -1084*g**2 + 241*g**2 + 165*g**2 - 392*g**2. Let p(c) = -2*c**2. Determine p(a(z)).\nAnswer: -2289800*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -163206 (base 7) to base 6.\nAnswer: -405430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from dpplpillipipiblil.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + (3 - (5 + 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -42*g**2 - 106*g - 23. Suppose -5 = -4*d + u + 9, -4*d = 3*u - 6. Let l(a) = -a**2 + 2*a + 1. Let r(k) = d*l(k) + w(k). Find v, given that r(v) = 0.\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*i**2*j + 4301*i**2 + 22*i*j - 12*i + 8*j - 644191 wrt i?\nAnswer: -4*i*j + 8602*i + 22*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 8982000 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 2*o**2. Let i(k) = -1293420886*k**2. Calculate u(i(r)).\nAnswer: 3345875176682049992*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 4 - 4)*(6 - 6 + v)*(-1 + 2*v**4 + 1).\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**2 - 5*x - 6. Let r be u(-4). Let m = 90 - 80. What is the highest common factor of m and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**6\/d**(-1\/23))\/(d\/d**(-2))**(-6\/13))**(1\/14) assuming d is positive.\nAnswer: d**(2221\/4186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 11, 35, 57, 77, 95, 111, 125?\n\"Answer: -t**2 + 27*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q + 8*q - 14828. Suppose 1708 = 5*j - 2*u, -4*j + 2*u = 5*u - q. Suppose v + j = 4*t, -t - 12 = -2*v - 97. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = 2*s + s. Suppose s = 7*h - 2*h + 20. Is h*1\/4*1819*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) be the first derivative of -13*u**4\/4 - 11*u**3\/3 - 4*u - 7. Let o(p) = -6*p**3 - 5*p**2 - 2. Give -4*g(d) + 9*o(d).\nAnswer: -2*d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 37182859?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 125\/21399?\nAnswer: 125\/21399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3245640*r - 2570203 wrt r?\nAnswer: -3245640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -249 - -524. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2193*k**2\/2 - 139371*k\/2 + 218925 = 0. Calculate k.\nAnswer: -48650\/731, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v = -2*v + 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 162 and 162582426?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence po when two letters picked without replacement from {p: 4, b: 2, o: 2, m: 5}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -826*g + 11847 = -406*g - 278*g - 501*g for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 6 + 16 - 17 + v + 4 - 1. Let q = 136 + -143. Give z(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.0207528 + -41.3769428. Let t = z - -39.356191. Let u = t + 2. Round u to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:11 AM and 1:28 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n - 13. Let o = -43 + 51. Let m be c(o). Let r(k) = -2*k - 6. Let p be r(m). Solve p*b + 6 = 2*l, 2*l - 7 = -17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (40 - 77)\/222*-18. Let m be (-1 - (-2)\/10)*-5. Suppose 5*f - 16 = -4*y, 2*f - 16 = m*y - f. Sort 4, y, p.\nAnswer: y, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from ndladlw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -487, -506, -519, -526?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -574107 by 13.\nAnswer: -574107\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = 9 - 4. Does 4 divide 100\/6 + (-3 + b)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13014*r - 13015*r - 3 = -4*f, 4*f + 4*r = -32 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2263*h + 2357*h + 564 = 0. Let t(k) = 10*k - 1. Let j(s) = 9*s - 1. Suppose -5*o = -33 + 8. What is h*j(a) + o*t(a)?\nAnswer: -4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 0*b - b = 0. Suppose b = 2*l - 12*l + 230. Calculate the remainder when l is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 92, 209, 520, 1121, 2108, 3577?\n\"Answer: 16*o**3 + o**2 + 2*o + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c - 6*c - c + 4*c. Let f(w) = -7*w + 1. Let z be f(-2). Let p(d) = -d**2 + 4*d**2 + z*d**2. Determine p(l(h)).\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 246*r - 246*r - r**3 - 16*r**2 to the form x + d*r + a*r**2 + q*r**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 112027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 15 - 48 = 0. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.3, 4.193, 1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12 - 19) + 2 - -13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -3 (b) 14 (c) -0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*h**2 + 5*h**2 + 0*h**2)*(-h - 2*h + h) - h**3 + h - h + 57 - 57 - 45*h**3 + (-2*h - 2*h**2 + 2*h)*(0*h - 5*h + 6*h).\nAnswer: -52*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 186551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -43360850 rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 89.61 - -3.39. Which is greater: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1176107 kilograms to nanograms.\nAnswer: 117610700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-7)\/(-2))\/((-2)\/(-2)). Which is bigger: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -4*a - 4*l, 4*a - 19 - 5 = l. Let o be 0 + a\/8 - 0. Factor 0*m**2 + 0 + 3\/2*m**3 + 0*m**4 - o*m**5 - 3\/4*m.\nAnswer: -3*m*(m - 1)**2*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1\/65591 + -286042347\/262364. Let v = t + 1071. Calculate the common denominator of v and -99\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -1977320+-0.04\nAnswer: -1977320.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -13, -152, -399, -766, -1265?\n\"Answer: -2*u**3 - 42*u**2 + u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-49 - -1)*(0 + 1). Let p = 163 + m. Let b = p - 62. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 323302010 (base 5) to base 6.\nAnswer: 45402154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2802 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 535246 divided by -1169\nAnswer: -535246\/1169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*b + 28*b - 590992 = 2*d, -3*b + 1181994 = -4*d. Round d to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 839804080?\nAnswer: 2, 5, 17, 53, 61, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 28 + (29 - 67) - (-2 + 9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -5689 - 4?\nAnswer: -5691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-6)\/36 + ((-92)\/24 - 0). Let s be 1\/(-4) - (p - 238\/(-8)). What is the third smallest value in s, -2\/13, -0.3, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -2*(-20)\/(-100)*190\/(-4). Solve -50 = 29*y - p*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 71941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l**3 + 4*l**2 + l - 3. Let f be o(-3). Let s be (-4 - 14)\/((-3)\/2). Suppose 2*i + s = f*i. Solve i = 2*m + 4*y, -5*m = -0*m + 3*y - 23 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6351.\nAnswer: 3, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -190.253 - -190. Let n = -2.861 + 2.73. Let j = n - a. What is j rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 2 - 3)*(-1 + 1 - 2*q)*(-4*q**2 + 2*q**2 + 20*q**2 + (-q - 4*q + 6*q)*(-4 + 2*q + 4)).\nAnswer: -160*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 4, u: 1, j: 3}. Give prob of picking 1 u and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14979097 and 2065.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 4, j: 1, n: 2, a: 1, z: 7}. What is prob of picking 2 g and 1 n?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 488.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*q**2 - 3 - 2*q**4 + 2 + 5 - 2*q**3 - q**2 to r + y*q**4 + p*q**2 + d*q + a*q**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -391*g**2 - 3. Let w(o) = -5*o. Let r(k) = -8*k. Let m(q) = 3*r(q) - 5*w(q). Calculate a(m(j)).\nAnswer: -391*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -254059 = r - 3*s - 254057, -r + 9*s - 8 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*d + 0*d**3 + 2*d**3 - 1 + d**3 + 2 to the form v*d + f + a*d**3 + w*d**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -230*v - 349*v - 60*v = 30033 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 65*l**2. Let n = -16 + 17. Calculate the remainder when x(n) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1642995558.\nAnswer: 2, 3, 91277531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 52205444 (base 6) to base 4\nAnswer: 11300212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 62758 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-1)\/7 - -7) + (-4)\/(-28). Let d(g) = -g**3 + 12*g**2 - 34*g - 3. Calculate d(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 12133444 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 175*t**2 - 472*t**3 + 475*t**3 + t - 175*t**2.\nAnswer: 3*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the first derivative of 5*b**3 - 5*b**2 + 10*b - 29. Let p(t) = -5*t**2 + 3*t - 3. Calculate -10*p(m) - 3*s(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 65 and 234.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 549 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*d + 4826 = 4721. What is the smallest value in -5, d, 28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - -14) + -21 - -1 - -8 - -45?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 7.916 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 472 (b) -3 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2452 + -2453. Let c(f) = -130*f - 2. Calculate c(j).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i**3 + 7407*i**2 + 918786*i - 1867192 = 0. What is i?\nAnswer: -124, 2, 7529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/2, -2\/5, 23, -1\/4, -8 in ascending order.\nAnswer: -8, -1\/2, -2\/5, -1\/4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*s - s + 4*s + s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2581 + -2583. What is the third smallest value in r, 837, 5?\nAnswer: 837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*s - 22*s + 4*s + 18*s.\nAnswer: -29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -7 - -14 - (-3 + 5 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -82, -81, -72, -49, -6?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5091076 is divided by 164228.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q**2 - 6*q - 11. Let k be y(7). Let u be 2\/k*646\/(-17). Solve -u = -4*r - 3, o = -5*r + 17 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from fttffntlttfnttfflt?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -43619434*g**3 - 49527289*g**2 wrt g.\nAnswer: -261716604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: ((-19)\/(-38))\/((-2)\/(8\/(-10)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6062113 is divided by 24056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-660)\/8*(-1 - (-175)\/15). Let b = u - -1535. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 24 = -4*a, -2*a + 5*v = -0*a - 30. Calculate the remainder when 41 is divided by (-4)\/10 + 107\/a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) 50160 (b) -19 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1266, -1295, -1338, -1395, -1466?\nAnswer: -1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19, 43, 67, 91, 115?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2263*w**3 - 952*w**3 + 2*w - 2*w - 612*w**3.\nAnswer: 699*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.02 and -253132.39.\nAnswer: -5062.6478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pbpmmmmpmbmmp. Give prob of sequence pbpp.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 20 = 0, -2*a = -y + 8 + 4. Suppose 4*m - r + y = -0*m, -4*m - 4 = -4*r. Let g(u) = u + 1. Calculate g(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19815187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -d + 2. Let v be n(3). What is the units digit of v\/(-3)*(-18)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 736 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q**2 - 21430*q + 903588 = 0 for q.\nAnswer: -10757, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 81974270.\nAnswer: 2, 5, 7, 1171061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = 2*r - 4*u - 239, -u = 3. Let l be (6\/4)\/(12\/r). Does 9 divide (-2)\/(-7) - (-248)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 52\/21 + -4097\/1680. Let y(l) be the third derivative of 1\/64*l**6 + 0*l**3 + 0 + m*l**5 + 0*l - 11*l**2 + 1\/64*l**4. Suppose y(n) = 0. What is n?\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.15108099 - -2.64891881. Let w = 2.8 - t. Round w to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1 - -0.0573315786.\nAnswer: 0.1573315786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -58 (base 11) to base 9.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0, -4, 2, -7114 in increasing order.\nAnswer: -7114, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wrr when three letters picked without replacement from wrrccwrcwwcwrc.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 5*l - 20 = -5*d, 3*d - 15 = -l. Put 0, d, -1 in ascending order.\nAnswer: -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 16108687 or -35?\nAnswer: 16108687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(30\/25)*(-80)\/20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 273, 276, 289, 318, 369?\n\"Answer: t**3 - t**2 - t + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -4*j**5 - 868084*j**4 - 3472288*j**3 - 3472272*j**2 = 0.\nAnswer: -217017, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 368668*f**2. Let s(z) = -20*z. Give s(u(y)).\nAnswer: -7373360*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -22 - -20. Let i(r) = -271*r + 3. Is i(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 247303912.\nAnswer: 2, 23, 1344043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.36012458 and 4?\nAnswer: -1.44049832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1787191?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -72323.041 to the nearest one thousand.\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b + 8. Let w be k(6). Suppose 14 = 3*x - 4*s, -s - 12 - 4 = -w*x. Calculate the least common multiple of 6 - 4*1\/2 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 3 - 1)*(40*b - 10*b + 2*b)*(46 - 24 + 39) to w*b + p and give w.\nAnswer: -1952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 726355?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnnlnnllnnlnlnlnlll. Give prob of sequence nlnn.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -3810 by 13.\nAnswer: -3810\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1285\/4 + -321. Which is the closest to -2\/7? (a) r (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3113608 > -3113608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -5 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 3002241 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 1.0037 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 68463\/4 - 17115. Sort 2.1, -11, -0.08, k.\nAnswer: -11, -0.08, k, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 + 2 - 5)*(2 - 4*y**2 - 2) - 8 - 2*y**2 + 8)*(0 - 2*y**3 + 0).\nAnswer: -20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2555*v - 3 - 2519*v + 5084*v + 34*v**2.\nAnswer: 34*v**2 + 10*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -99953 or -99954?\nAnswer: -99953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.04 (b) 1\/3 (c) -4 (d) 0.4 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-18)\/8)\/((-164)\/((-73472)\/(-840))))\/(6\/310).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-69*g + 69*g + 6 + g**2)*(4 - 207 + 38).\nAnswer: -165*g**2 - 990","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t + 3*x + 38 - 29, -4*x = 4. Factor 4*f**t + 40\/9*f + 2\/9*f**4 + 14\/9*f**3 + 16\/9.\nAnswer: 2*(f + 1)*(f + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13325?\nAnswer: 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 497*y**5 - 380*y**3 + 409427*y**2 wrt y.\nAnswer: 29820*y**2 - 2280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add 91563.3 and 220454957.\nAnswer: 220546520.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*w - 25*w + 34. Suppose -w*y = -0*y - 3*z - 9259, -y = -3*z - 4622. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 8856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 17853626?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 4*q - 5. Give g(11).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of (30 - -1) + (6 - -3 - 8) and 72?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -12*t - 195. Let m be (-21 - -4) + -2 - 9\/(-3). Calculate c(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*u = -11 + 71 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1779236 divided by -1558.\nAnswer: -1142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.0475 and -3238.35.\nAnswer: -3238.3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 197260 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 101111011100011000 (base 2) in base 12?\nAnswer: 94560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 74*f**2 + 49083 - 49083.\nAnswer: 74*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.039 + 48.961. Let l = 60 - d. Let r = l - 8. Which is the nearest to 2? (a) -2\/9 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -556 - -556. Determine b so that 0 + 2\/3*b**2 + k*b + 0*b**3 - 2\/3*b**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 414279 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 0 = 16. Let l(y) = 3*y**2 - 2*y + 1. Let w be l(1). Let u = 7.16 + -10.16. Which is the nearest to 8\/5? (a) x (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 45327*w + 216693?\nAnswer: 45327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 149526 - 5670 = -5994*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-2)\/3)\/((-8)\/36). Let x = -17 - -19. Suppose -2*t = -10 + x. Solve t*v = k*v + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that 2*z**5\/9 + 1862*z**4\/9 - 483724*z**3\/3 + 32727816*z**2 - 2094903120*z - 2127792384 = 0.\nAnswer: -1488, -1, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12.7886 + 49.1976. Let u = -62 + s. What is u rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, -5, -4603370?\nAnswer: -4603370","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**3 - u**2 - u - 2. Suppose -194*i = -197*i - 6. What is the remainder when r(-2) is divided by (-1)\/(i\/4*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 5 = 3. Let v be -2*(-4 - (-3)\/h). Let q be (9\/(324\/16))\/(4\/18). Solve -7*z = -3*t - q*z + 12, 0 = -v*z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = l - 4. Let c be s(6). Let w(b) = 6*b**2 + 13*b**c - 6*b**2. Let m(k) be the first derivative of -k**3\/3 + 6. What is w(m(v))?\nAnswer: 13*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1491, 1962, 2431, 2898, 3363?\nAnswer: 3826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -862*p + 2479*p + 6 - 3. Let c be s(-8). Is (-2)\/(-1)*(c\/6)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3000) - (sqrt(3000)*-2 - sqrt(3000))*6)\/(((2*sqrt(66) - sqrt(66))*5)\/sqrt(11)) + 3.\nAnswer: 3 + 38*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -25 + (-6 - -20 - (7 + 4) - 14).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r + 6*r - 7 = -3*y, -2*y = 5*r - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i**2 - 14*i - 31. Give g(-14).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/((-20)\/(-48)) - (-2)\/(-5). Suppose 0 = s*p - l - 12, 4 = -4*p - 0*l - 5*l. Find o, given that -o**3 - 9\/4 - 1\/4*o**p + 3*o + 1\/2*o**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -78*u + 35. Give h(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -63 - 103 = -2*o. Let m = 23 + o. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 1.7 to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7 - 3. Let v(k) = -2*k - 1. Let j(m) = -3*m - 1. Let s(x) = 3*j(x) - 4*v(x). Let w be s(t). Sort 5, w, -4.\nAnswer: -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + 1 + sqrt(275) - sqrt(275))*3)**2 + sqrt(275) + 1*(sqrt(275) + sqrt(275)*-1 + sqrt(275)) + sqrt(275) + -1*sqrt(275)*3.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n**4 + 14*n**3 = 0. What is n?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37105896.\nAnswer: 2, 3, 661, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 22*f + 25*f = 134, 0 = -5*b - 3*f + 706. Calculate the least common multiple of 66 and b.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 24030727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -48 - (31 - 33) - -112.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 17 - 16. Suppose 2*x - 5*r - 30 = -3*x, 0 = -4*x - r + 34. Solve -k - 4*n = n - x, k - 4*n + j = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 875, -5, -16 in descending order.\nAnswer: 875, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve i = 2*v - 8, -2*i - 20348*v - 7 = -20349*v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 4648989.63 to the nearest one hundred thousand.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3893 - 3295 = -26*p for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -57 (base 12) to base 15\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r + 21 = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -26.99999926 - -27. What is v rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1086801 is divided by 543338.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 879314, 879322, 879336, 879356, 879382, 879414?\n\"Answer: 3*j**2 - j + 879312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the second derivative of -g**5\/5 - 7*g**4\/6 - 31*g. What is the third derivative of y(d) wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**3 - 13*h**2 - 13*h - 8. Suppose u + 5*f + 0 = -2, 0 = u - f + 14. Let r be l(u). Let x = 84 - 60. Solve r*j + x = -4*t, -4*t + j + j = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -15 - -9. Suppose -r = -5*r - 16. Is (-6)\/r*(-8)\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-2\/11)\/(g*g\/(g*g**(4\/5)\/g)*g*g*g))**(-1\/7)\/((g*g*g\/g**(-3\/2)*g*g)\/g**(2\/11)*(g**(-2\/5))**(-37)) assuming g is positive.\nAnswer: g**(-15779\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 2)*(-10 - (-273)\/27)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2964288 by -3.\nAnswer: -988096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 2*f**2 - 5*f - 7. Suppose -3*l - z + 9 = 0, 0 - 12 = -4*l + z. Let j(r) = 7*r**2 - r**2 - 29 + 6 - 14*r + l. Calculate -6*j(a) + 17*n(a).\nAnswer: -2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + 180727*t**2 + 110*t**3 - 3 + 1 - 180727*t**2 + 2*t**4 + t to g*t**2 + l + j*t**3 + h*t + o*t**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 * -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -18079 - -18079. Let r(z) = -z**3 - 5*z. Calculate r(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 21 = 18. Let l(o) = -4*o + 0*o**2 + 5*o + 40*o**2. What is the remainder when l(d) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7488 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the third derivative of l**6\/420 + 2*l**5\/105 + 5*l**4\/84 + 2*l**3\/21 - 45*l**2 - 2*l. Factor i(q).\nAnswer: 2*(q + 1)**2*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -3+2195058131\nAnswer: 2195058128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (4*(-4)\/12)\/(476\/(-63))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -21.45 - -21. Let d = 20.95 + -21. Let b = g - d. What is the smallest value in b, 4, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0006316308373 rounded to 5 dps?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 167151, 1337241, 4513193, 10697937, 20894403, 36105521, 57334221, 85583433?\nAnswer: 121856087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 22451?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -14\/5 in -1, -2\/7, 0.037?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -20, -4, -50, 3, -3 in increasing order.\nAnswer: -50, -20, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*g*q*v + 37572*g*q + 26*g*v**2 + 8*g*v + 2*g + 11298*q*v**2 + 2*v**3 + 3 wrt v?\nAnswer: 52*g + 22596*q + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 11 + -64. Let z = -56 - v. Let l(o) = -o**3 + 5*o**2. Let h be l(5). Which is the third smallest value? (a) h (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -36\/889? (a) -0.2 (b) 1\/5 (c) -0.082\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -z - 1. Let t be s(4). Let m(u) = -5*u + 2 - u**2 - 2. Let i be m(t). Solve i*d + 8 = d - j, 0 = -2*d + j + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6\/7? (a) 2 (b) -5\/3 (c) 2\/15 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - -4) + -6 + (6 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-3003)\/15)\/(-13) - 9)\/(8\/20).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8.3 - -3.3. Let o = -5.5 - d. Let y = -0.9 + -0.1. Which is the second biggest value? (a) o (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = 51*b - 462 - 94 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1105 + -692. Suppose 3*p + 1829 = 5*s + u, 0 = s - p - 282. Let t = s + -125. Calculate the highest common factor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*o - 597 = 2683. Suppose 2*r = -4*j - j + o, 2 = r. Calculate the highest common divisor of j and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 387 - 371 - 66*d + 38*d - 2*d**2 + 39*d to v*d + g + a*d**2 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 42 and 1869?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**3 - 4*q**2 - 13*q - 3. List the prime factors of o(-6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) be the first derivative of 9*g + 1\/2*g**2 - 39. Calculate f(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that 0 - 306\/11*y**3 + 10\/11*y**4 + 120\/11*y + 16*y**2 = 0.\nAnswer: -2\/5, 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*k + 4*k + k**2)*(-3 - 3 + 1)*(-5 + 2 + 6)*(-5 + 5 + 3*k).\nAnswer: -45*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -27, -14, 7, 36?\n\"Answer: 4*m**2 + m - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 + x - 12*x**3 + 10*x**3 - 2*x**4 + 32*x**2 - 65*x**2 - 2 to i + z*x + p*x**3 + d*x**2 + q*x**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**2 + 4*v + 3. Suppose 5*b - 39 = -14. Suppose 0 = 5*l - b*j + 35, -4*l + 5*j = -0*l + 28. Let g be i(l). Solve -8 = d + 5*y - g, 2*y - 6 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1473067837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -4*v - 18. Calculate the least common multiple of 3 and h(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**2 + 7*b + 7. Let g be l(-6). Suppose 5 - g = 2*k. Let s be (-10580)\/(-874) + (30\/76 - (-2)\/(-4)). Put k, 0, s, -3 in increasing order.\nAnswer: -3, 0, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 0) + 3 - (-63 + 39 + 3).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k**4 - 3 + 3)*(21 - 3 + 0).\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2217 + 2217.80234. What is t rounded to two decimal places?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 2\/9 (b) -19 (c) -5 (d) -2\/39 (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b**3 + 4*b**2 + 3*b + 5. Let o = 5 - -3. Suppose 8*z + o*z = -48. List the prime factors of v(z).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 84174743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -62 - -72. Suppose -g*y + 7*y + 9 = 0. What is the units digit of (-116 + (4 - y))*(0 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60 = -4*x + 4*u, 2*u = -4*x + 3*u + 66. Let b be ((-9)\/6 - -1)*-42. Suppose -x*f + b*f = 392. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.1 (b) -14 (c) -31 (d) -8523\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*y = 4*y + 25. Suppose 5*l + 2*k = y*k + 169, -5*l + 2*k = -166. Calculate the remainder when l is divided by (-33)\/(-6)*(-2)\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1387776*i - 1387717*i - 1711 = 0 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/14 + 172\/28.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -1 - (1 + -2 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000002112 rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6032898 and 180.\nAnswer: 60328980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 487, 987, 1485, 1981, 2475, 2967?\nAnswer: 3457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -129 - -124. Suppose -4*z - 5 = -p, -z - 4*z = -p + 5. Let k be -2 + 5\/1 - 1. Which is the third biggest value? (a) r (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -63.1176347 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1704\/(-3834) - 22\/(-36). Factor 0*w + d*w**4 + 1\/6*w**2 + 1\/3*w**3 + 0.\nAnswer: w**2*(w + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 107194661 a multiple of 870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q - 26 - 10 = 5*d, -2*q = -5*d - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 2 + -3 - (15 + -12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 27, 21, 15?\n\"Answer: -6*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be 7*15\/(-735) - 2\/(-14). Suppose c + 4*q = p, 5*q + 13 = 8. Solve -6*r = -c*r - d + 9, -5*d + 19 = 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 656*b + 12423 = 353*b for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2572069333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h**3 + 104*h**2 - 768*h - 3. What is x(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/5, -8.1, 5, -2\/11 in descending order.\nAnswer: 5, 1\/5, -2\/11, -8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the second derivative of i**4\/114 - 5*i**3\/57 + 6*i**2\/19 + 17*i + 2. Factor n(x).\nAnswer: 2*(x - 3)*(x - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 629152.8 hours to microseconds.\nAnswer: 2264950080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Are -5270 and 45.139 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1379 + -1362. Let r = -1642785.000016 + 1642768. Let c = r + y. Round c to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -4*y + 47. Let n(f) = -f - 7. Let l be n(-7). Let i = y + l. Solve 2*b + 0*b = -i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1 + -4)*(-2)\/10*4. Let n = -935 - -4493\/5. Let g = n + 37. Put -8, k, g, -1 in ascending order.\nAnswer: -8, -1, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 111010101001 (base 2) to base 3.\nAnswer: 12011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (10*q**4 + 9*q**3 - 9*q**3)*((3 - 1 - 3)*(-6 - 6 + 4) + 4 + 3 - 8 + 2 - 1 + 3) to the form v*q + k*q**3 + l*q**2 + t + o*q**4 and give o.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 136 (b) -5 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*f + 23 = -29 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - -14) + -3 - (2968 - 2939).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 51*s**2 + 2*s + 5. Let y(q) = -q**3 - 6*q**2 - 2*q - 9. Let p be y(-6). Let d be f(p). What is d rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -481 - 329 = -54*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -1071*y = 14868 - 5229 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out 41397219964 + -8.\nAnswer: 41397219956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -59\/693 and 38\/2457.\nAnswer: 27027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 2294*a**2 + 413*a + 69. List the prime factors of j(-6).\nAnswer: 3, 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 - -1. Suppose h*o - 27 = -o. Suppose -11*n**4 - 5*n**2 - 24*n - 8 - 12*n**3 + o*n**4 - 21*n**2 = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (9\/(-4))\/((-6)\/80). Let m = c - 16. Calculate the greatest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + x**3)*(42 - 110 + 56) + x**3 + 0*x**2 + 0*x**2.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1178249 and 6266?\nAnswer: 30634474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by 2673093?\nAnswer: 1\/891031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**3 + 5*x**2 - x + 5. Let m be c(5). Let d be (4*1)\/(2 + m). Find the second derivative of 2*z - 3*z - z**2 - d*z**2 wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kkkkk. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 5, 1, -3, -619 in decreasing order.\nAnswer: 5, 1, -3, -8, -619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -187969\/7 + 26975. Let t = g + -50518\/413. Suppose 34*f = 35*f + 3*a - 10, 0 = -5*a + 15. Is t smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = c + 4, -5*y - 144 = -5*c - 39. Let f(v) = v**2 - 11*v + 26. Let q be f(12). What is the common denominator of 37\/7 and 4\/c - q\/(-40)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-53*u**2 + 26*u**2 + 3 + 2*u + 28*u**2)*(-20 + 32*u + 20).\nAnswer: 32*u**3 + 64*u**2 + 96*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the second derivative of t**3\/6 - 3*t**2\/2 - 2*t. Let c be q(5). Suppose -c*h + 6*h = 2*x + 636, 2*h - 2*x = 322. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 70\/245 - 6463798\/(-7). Suppose 28*i - y = 34*i. Round i to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 194 minutes before 1:06 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 18*v + 27*v + 6*v - 2*v to the form n + w*v and give w.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-5 + (sqrt(363) - (sqrt(363) + 0)))*-4*2.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + -1*2*sqrt(1584).\nAnswer: -24*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2964, 2983, 3000, 3015, 3028?\nAnswer: 3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the first derivative of i**2\/2 + 5*i + 22. What is u(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 249 - (1 + 1) - (-2 + -1). Suppose -b = n - f, -b + 5*b = -5*n + 1002. Does 34 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1 (b) 27 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 4, e: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -1b (base 12) to base 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 12 - 24 + 5*f**3 + 3 + 10 as a + t*f**2 + z*f + r*f**3 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -2*l. Let p(t) = t - 2*t**2 - 5*t - t + 5. Suppose 0 = o + 3*o - 20. Let i(k) = 3*k**2 + 8*k - 8. Let v(y) = o*i(y) + 8*p(y). Determine v(h(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0\/(-2) - (4 + 1). Let k(o) = 2*o + 2. Let l be k(0). Sort 4, l, z in decreasing order.\nAnswer: 4, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-118166)\/(-18) + -2 - 2\/(-9)?\nAnswer: 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/122227286 and 137\/18.\nAnswer: 1100045574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 16) in base 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1*(-7 + (-4)\/(-2)). Let b = 12 + w. Suppose -4*z + 43 - b = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5784578 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in twenty-seven halves of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -12 - -2. Let r = 5 + l. Suppose 0 = -0*m - 4*m + 8. What is the third biggest value in -2\/5, m, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3822.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, o: 4, t: 4, y: 3, k: 3, j: 1}. Give prob of picking 2 t.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 2*a = -5*n + 6075, 3*n + 3*a = 3618. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1789758, 1789727, 1789684, 1789635, 1789586, 1789543?\n\"Answer: q**3 - 12*q**2 - 2*q + 1789771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 94542 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bbuuuuuubbuubbuuuu. Give prob of sequence bubu.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -11, 5, -56, 70, 2, 3 in decreasing order.\nAnswer: 70, 5, 3, 2, -4, -11, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 19 = -5*h - 47, -4*h - 44 = 4*x. Let y = 5 + h. Let n be 1 - (0 + (-5)\/y). Which is the nearest to 1? (a) -0.5 (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uqquqquuqqq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 332 + -233. Suppose 519 = 5*q - 3*o, -q + 0*q + 3*o + n = 0. Let w = q - 70. Calculate the remainder when 67 is divided by w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 103\/176 and 65\/4048.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 18*l**2 + 7199310*l - 506408932?\nAnswer: 36*l + 7199310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -2*s + 3. Let x(j) = j - 1. Let r(m) = 4*f(m) + 9*x(m). Let z(c) = 3*c + 7. Determine -7*r(y) + 3*z(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 109156139 is divided by 908?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -28*q**5 + 52806*q**4 - 125693386*q**2?\nAnswer: -1680*q**2 + 1267344*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3799 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4 - 16. Let j = 11.8 - 23.9. Let b = j - z. What is the biggest value in -5, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -62 + 2386*t - 594*t - 594*t - 600*t - 599*t.\nAnswer: -t - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5 + 140?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be (3 - 369442\/24)\/(-11). Let i = w + -5593\/4. Let r = i + 160\/231. Calculate the common denominator of 34 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1, 1, -23, -8635, 5 in decreasing order.\nAnswer: 5, 2, 1, -1, -23, -8635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5470 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = -3*s - 32, -2*x + 14 = 4*s - 20. Suppose -x*h = -29*h + 78. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-5)\/(-1 + 68\/72). Suppose -7*z = -2*z - y. Let q(w) = w**3 + 10*w**2 + 11*w + 11. Calculate the remainder when q(-8) is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s**2 + 10*s - 17. Let g be u(7). Suppose 4*f = 2*n, 16 = -g*n - 2*f - 14. Sort 2, n, 3, -1 in descending order.\nAnswer: 3, 2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1027)\/(-104) + -10)*-136.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 2*r**3)*(0*r - 3*r + r)*(-1 - 3 + 5)*(-1 + 2 + 1).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*r + 18*r = 81 + 205 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 268340.\nAnswer: 2, 5, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:01 AM and 4:05 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -5*k**3 - 2. Let v be u(2). Let x be (-204)\/v + 2\/14. Suppose -2*z - 45 = -x*z. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.15, -0.6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 39 + -40. Let k = 33 - l. What is the remainder when 64 is divided by k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 6 = 2*l. Let x = 1 + 0. What is the closest to -0.1 in l, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -39399, -78788, -118169, -157542?\n\"Answer: 4*h**2 - 39401*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3907 = -19*o - 463. Is 33 a factor of (-8)\/((-3 + o\/(-78))\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from djqjdrb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 49, -31300, 1 in descending order.\nAnswer: 49, 1, -31300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -31529 = 395*g + 238*g + 136*g for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6 + -3. Let a = 5 + 7. Solve -b*x - a = 2*x + 4*p, -3*p = 3*x + 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g**3 + 53*g**2 - 208*g + 595. Calculate p(49).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 223148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 8217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*q - 4*c - 46 = 7*q, -5*q + 155 = -2*c. Suppose 25*b - q*b + 10928 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -288842*r - 18*r**3 + 288842*r - 7.\nAnswer: -18*r**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -2*o**2. Let n(j) = 2*j + 91. Give a(n(x)).\nAnswer: -8*x**2 - 728*x - 16562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = -108 - -107.956. Let m = -0.256 + o. Which is the smallest value? (a) 0.4 (b) 0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1683234 > 1683193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (-5*(sqrt(7) + sqrt(28)))**2.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 3*a - 3. Let b(u) = u + 4. Let i be b(-7). Let l be f(i). Is (-219)\/(-12) - 9\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 88, -5, -2\/9, -488, -2, -0.1, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 19585 + 262057 = -5314*z for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 36650 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 5269841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and -0.2.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14 - -6) + (-1 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(2\/9))**(-13)\/((d*d**(-1))\/d**(-1\/2)) assuming d is positive.\nAnswer: d**(-61\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 14*g**2*t**3 + g**2*t - 464*g**2 - g*t**3 + t**5 wrt t.\nAnswer: 84*g**2*t - 6*g*t + 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13963582 is divided by 181345?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 344 minutes after 9:53 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 85981840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 13*a**3\/7 - 417064*a**2\/7 + 1668087*a\/7 - 1251036\/7 = 0.\nAnswer: 1, 3, 417012\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -5*q**2 - 2. Let z(p) = 11*p**2 - p + 4. Let b = -674 - -676. Determine b*z(c) + 5*n(c).\nAnswer: -3*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) -5 (b) -48415 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 870533.8 rounded to the nearest 10000?\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 115399 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-8)\/20)\/(2\/(-5)). Suppose -5*n + 9 = -k. Suppose -n*d = -32 - 42. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m**3 + 7*m**2 + 17*m + 14. What is y(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i + 5*l - 20 = 0, -2*i + 12 = -5*i + 3*l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -33*f**3 + 4*f**2 + 4*f + 1. Let t be c(-2). Suppose -6*s + 3*s = t. Let m = s - -154. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of g**2*u**3 + g**2 + 11*g*u**2 - 29*u**4 - 18*u wrt u.\nAnswer: 6*g**2 - 696*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-1\/4)*s\/(s**6\/s*s))\/(s**(-2))**39 assuming s is positive.\nAnswer: s**(291\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the first derivative of -4*t**3\/3 - 11. Let h(j) = -j - 9 + 9. Determine h(q(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = d - 256. What is the greatest common factor of 96 and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2379\/4 + -591. Let p = 4 - z. Which is smaller: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*o**2 - 30*o + 29*o + 3*o**2)*(-4*o**2 + 3*o**2 + 2*o**2 + (-o**2 + 3*o**2 - o**2)*(-2 + 0 - 1)).\nAnswer: -12*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 994 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = 104\/35 + -42\/5. Calculate the common denominator of f and -87\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 102593054*w - 12086643 wrt w?\nAnswer: 102593054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggwgwggwwwgggggwggg. What is prob of picking 1 g and 1 w?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the third derivative of 5*q**8\/336 + q**5\/20 - 2*q**2. Find the third derivative of u(w) wrt w.\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 11297, 11478, 11637, 11762, 11841, 11862?\nAnswer: 11813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k = -11*k + 45463. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -11.8? (a) 12\/5 (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*r**2 + 5*r**2 + 10*r**2 + 0*r + 0*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -11837 + 11839. Let l = -5 - -4.7. What is the closest to d in -2\/3, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, 0.05, -3\/8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 - 6 = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 103 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -45080 bigger than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -12, 1\/2, -0.0047, 6, 0, -2, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -16, -8553 in descending order.\nAnswer: -2, -16, -8553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -1492*-86\nAnswer: 128312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0*(-2)\/4*-1. Let q(t) = t**3 + t**2 - t + 83. Is q(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -747*o + 6729. Give s(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (40*(-6)\/(-45) + -6)*(-840)\/(-784).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 32 and 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xhaxaaxx. Give prob of picking 1 a and 1 x.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 29237\/4 - 1490875\/204. Let a = l - 12\/17. Let y = -0.1 - 0.9. What is the closest to -2 in a, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by -20522.\nAnswer: -3\/20522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 0 <= -4\/7729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of i**4*t + i**2 + 632*i*t + 2133*t wrt i?\nAnswer: 4*i**3*t + 2*i + 632*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2, 12, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-1)\/(-2))\/((-2)\/(-16)). Suppose r*z = -z + 20. Let g(u) = u**2 + 405*u - 1222. Let m be g(3). Calculate the greatest common divisor of m and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:34 AM and 8:08 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6 - 2. Let m = 1 - -4. Suppose 0 = m*l + 5. Which is smaller: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -v**6 - 7*v**4 - 700*v**3 + 13*v**2 - 824*v wrt v?\nAnswer: -120*v**3 - 168*v - 4200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -32 + -aaa7?\nAnswer: -10029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -45\/2 in -4, -2\/9, 4, 0, 41\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.05 + -0.45. What is the third biggest value in q, 4, 1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 39.92583 + -40.262. What is l rounded to three dps?\nAnswer: -0.336","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 182*a**3 + 173*a**3 - 295*a**3 - a**3 - 3*a**3 + a**3 + (2*a**2 + a**2 - 2*a**2)*(4*a + a - 4*a) + 0*a**3 + 2*a**3 - 4*a**3.\nAnswer: 56*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 1972*a = 21595 + 63201 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -111\/2576 and -109\/140?\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes after 10:03 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*f**6 + 1666*f**5 - f**2 - 8*f - 46 wrt f?\nAnswer: -240*f**3 + 99960*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-56)\/(-70)*5\/42*112\/96?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iii when three letters picked without replacement from {u: 2, i: 10}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -13 - 3*m + 13 + 4*m. Let k(u) = 3*u. Let r(h) = -6*k(h) + 17*x(h). Let y(a) be the first derivative of 5*a**2 - 14. Determine r(y(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the first derivative of -2*m**3\/3 - 10*m**2 + 6*m + 60. Let g be o(-10). Solve -w - 15 = -g*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 44 + -28. Let c = p - 14. What is the third derivative of 0*z**3 + c*z**3 - 5*z**3 - 3*z**3 - 4*z**2 wrt z?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.119, -691, -0.09 in descending order.\nAnswer: 0.119, -0.09, -691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -127\/6 and 1\/87.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3579547 to the power of 1\/2, to the nearest integer?\nAnswer: 1892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (11382\/294 - 39)\/(1\/(-3 + 38))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 0.6, 1, 9, 3, 657, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 20383 - 10474. What are the prime factors of g?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*m**3 - 13047193*m**2 - 267054664 wrt m?\nAnswer: -6*m**2 - 26094386*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.458 - -0.47964. What is u rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0.5, -0.5, 5.\nAnswer: -0.5, 0.5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1270 and 923417?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t**3 - t**2 + t - 3. Let u be p(-3). What is the tens digit of u\/15*(-2 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -97*q + 1667. Let z be c(17). Solve 46 = -5*f - z*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n**3 + 7*n**2 - 2*n - 14. Let t be h(-7). Solve 0 = -4*l - t + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8148 is divided by 2715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9 and 11526?\nAnswer: 34578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 228 and 418.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 664 divide 2949471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 607556893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5446096.\nAnswer: 2, 340381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1216*y - 9104*y - 2261*y.\nAnswer: -12581*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 8*v**4 - 35\/2*v**2 + 0 - 3*v - 13\/2*v**3.\nAnswer: v*(v - 2)*(v + 1)*(16*v + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000120751521 rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -w - 4*k + 24, -5*k = -5*w + 20. Suppose w = -2*p + 5*y + 23, -5*y = -5*p + 80. Is 34\/3*p*2\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvvqvvvvvvvvvqvvqqv?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1197075388?\nAnswer: 2, 23, 157, 179, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 4430*o - 2*m - 1 = 4435*o, 2*o + 3*m = 26 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Add 13258 and 50985.6.\nAnswer: 64243.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 27960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -1 + 51*n**3 - 5 - 7*n + 1 + 9*n**2. Let d be y(9). Let r = d + -23840. What is r rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*k = -15*k - 16856. Let j = -1632 + k. What are the prime factors of j?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**3 - 21*y**2 + 22*y + 2. Suppose p - 2*d = -12, 0*d - 49 = 2*p + d. Let i be u(p). Which is the third biggest value? (a) 1\/3 (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 137*i + 235 = 202*i - 5*x, 5*i + 3*x - 35 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*p**4 - 16*p**3 + 35*p - 520070.\nAnswer: 12*p**3 - 48*p**2 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14855 - 15195. Which is greater: -329 or w?\nAnswer: -329","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m**3 - 6*m**2 - 13*m - 8. What are the prime factors of y(-10)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t**2 + 18*t + 21. Let b be p(-23). What is the highest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3834 and 12?\nAnswer: 7668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1107, -1781, -2481, -3219, -4007, -4857, -5781?\nAnswer: -6791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -x**3 - 43*x**2 - 70*x - 1048. Is 4 a factor of h(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*o + 5*o = -2*o. Solve o = -q + 3*p + 6 + 9, p = q - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**2 - 5*f. Let w(r) = 72*r**2 - 9*r - 4. Calculate -2*b(h) + w(h).\nAnswer: 70*h**2 + h - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 14124 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -771463*r**2*x**3 + 4*r**2 - 6*r*x**3 + 559751*r*x**2 wrt r?\nAnswer: -1542926*x**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j be (28\/(-42))\/(4\/42). Let y = j + 6. Sort 3, y, -0.1.\nAnswer: y, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11101100100000110011 - 0?\nAnswer: -11101100100000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4819?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -1278 * -0.0587.\nAnswer: 75.0186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 307232 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -167*t**2 - t + t - 795*t**2.\nAnswer: -962*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 9*o**2 + 43*o + 44. What is the smallest common multiple of l(0) and 2848?\nAnswer: 31328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -89800*q**3 + 3*q - 13. Let l be r(5). Let a = l - -5943607. Let o = a + 13581391. What is o rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7862656?\nAnswer: 2, 19, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the third derivative of k**4\/24 - 2*k**3\/3 + 11*k**2. Let l be f(7). Suppose 0 = -l*q - 3 + 6. Solve -p + q = 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d + 67 = -47. Solve -5 = d*s - 14*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t**2. Let q(y) = 2922*y. Determine i(q(h)).\nAnswer: -8538084*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3392919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -164*y + 0*y**4 + 149*y - 9*y**4 + (7 - 7 + 4*y)*(-y**3 - 3*y**3 + 2*y**3).\nAnswer: -17*y**4 - 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 338475027?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 26501 + -18922. Let i = 4360417\/11 - 4443732\/11. Let y = i + b. Find the common denominator of y and -18\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l + 69 = -13*w, 7*l - 7*l = -2*l + 4*w + 18 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y**3 + 5*y**2 - 3*y + 21. Let h be s(-6). What is the third derivative of -46*i**h + 1 + 53*i**3 - 2*i**4 - 44*i**2 - 20*i**3 wrt i?\nAnswer: -48*i - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence noo when three letters picked without replacement from {o: 4, e: 1, n: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -79*b**2\/2 + 947*b + 24.\nAnswer: -(b - 24)*(79*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 165\/112 - 34453\/23408. Let r = 36591\/11704 - o. Let v = -2\/31939 + 3481379\/447146. Find the common denominator of r and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((sqrt(833) + -4*(1 + sqrt(833))**2)*3 - ((sqrt(833) + 1 + sqrt(833) + 1)**2 + sqrt(833) + -2))*4*1.\nAnswer: 5040*sqrt(17) + 320208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 4) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 29\/30 and (788\/120 + -2)\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - q = 3*s, s + 4 = q. Let c be (-6)\/(-4)*q*1. Is 3 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -2 + 113*m - 35*m - 33*m - 34*m. Let u(n) = -12*n + 3. Calculate 3*q(o) + 2*u(o).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, i: 1, v: 2, g: 4}. What is prob of picking 1 a and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 332784755?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 490 - -27650?\nAnswer: 28140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -0 + 12, 3*f + 4*u - 62 = 0. Calculate the remainder when 50 is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -210622\/7 or -30088?\nAnswer: -30088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**2\/3 - 110188256*d + 4553044410120576.\nAnswer: 2*(d - 82641192)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -6.728329516 to three decimal places.\nAnswer: -6.728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*g - 867*o + 863*o + 22, -4*g = -3*o + 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in 0, -1379.4, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b**2 - 5*b + 3*b - b + 2*b. Let y be (51\/34)\/((-1)\/2). Determine w(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 22 and 225824.\nAnswer: 2484064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 32633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -364*d - 34. Let f be i(4). Let r = f - -1511. Factor -12 - 600\/7*h - 159*h**2 - r*h**3.\nAnswer: -3*(h + 7)*(7*h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 245 and 128145.\nAnswer: 6279105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -9*r**2 + r - 6. Suppose 0 = 4*z - 1 - 23. Let c be x(z). Let s = 775 - c. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3786106 is divided by 1261998.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 428087509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (7*(-30)\/(-70))\/((-4)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 10 - 72 = -2*j, 130 = 3*j - 5*l. Let a be ((-2)\/4)\/((12\/j)\/(-3)). Sort -1, a, -3, -15 in ascending order.\nAnswer: -15, -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -453 (b) 4 (c) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -380.7 rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41*x**3 + 18*x**3 - 13*x**3 + 22*x**3.\nAnswer: 68*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -15 - -20. Suppose -2*q + 8 = 0, -4*c - y*q + 3*q = -40. Suppose 0 = b + 3*j + 7, -c + 1 = 4*b + 5*j. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x = -2*h - 8 + 23, 0 = 3*h - 2*x - 70. Solve 0*f - h = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23 = -2*a + 23 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 9782.856ml to litres.\nAnswer: 9.782856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -24.43 and 0.16?\nAnswer: -3.9088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1353.8 - -1348.8. Suppose -h - 2*t = -9 - 14, -3*t - 74 = -2*h. What is the third biggest value in h, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 81\/128 and -73\/676.\nAnswer: 21632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 4) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -11 - -16. Suppose j*v - 39589 = 12406. Suppose k = h - v, 2*h - 31204 = -h - 4*k. Round h to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -16734 (base 10) to base 15.\nAnswer: -4e59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 33\/5 of a decade?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 89, 94, 99, 104, 109?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = k + 3. Let f be g(-6). Which is the closest to -1? (a) 4 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*z**5 + 0*z**5 + z**5 + (3*z**3 - 5*z**3 + 0*z**3)*(z**2 + 0*z**2 - 3*z**2) + (-3*z + 2*z - z)*(-2*z**3 - z**3 - 2*z**3)*(31*z + 16*z + 100*z).\nAnswer: 1475*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:43 AM and 10:34 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -302 - 1?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 0*-4.07894\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.4 and 8.574.\nAnswer: 8.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 15, p: 3}. Give prob of sequence wwww.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 7*y**5\/4 + 19477*y**4 - 5565*y**3.\nAnswer: y**3*(y + 11130)*(7*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be (4*2)\/((-13)\/(-26)). Suppose -2*o - x = -2*w, -3*w - 10 = 2*o + w. Let h(p) = 4*p + 6. Let i(t) = -5*t - 7. What is o*h(s) - 6*i(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -3*u**2. Let t(j) be the third derivative of -56*j**2 + 0*j + 0 + 7\/12*j**5 + 0*j**3 + 0*j**4. Determine t(c(g)).\nAnswer: 315*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 3591\/270 + -13 + (-97)\/290\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -3*f**3 + 3*f**2 - f + 1. Let j(s) = -3*s**3 - s**2 + s - 1. Calculate i(v) + 2*j(v).\nAnswer: -9*v**3 + v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -53 by -15273602.\nAnswer: 53\/15273602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (0 + 4 + 0 - 10) + 13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5676 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: Simplify (-1*sqrt(56)\/sqrt(4) - sqrt(14) - 3*sqrt(56))\/((sqrt(2058)*-2)\/(sqrt(6) - (sqrt(6) + (6*(sqrt(6) + sqrt(96)) - sqrt(6))))).\nAnswer: -116*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 123\/140 and -99\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(18) + sqrt(288)*1)\/(-1*sqrt(6)*4) + -1 + -3.\nAnswer: -4 - 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 2, f: 4}. Give prob of sequence zz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 102.0761 millennia in years?\nAnswer: 102076.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 1. Let v(x) = -8*x - 11. Let w(a) = -11*a - 15. Let s(m) = -7*v(m) + 5*w(m). Determine 4*n(p) + s(p).\nAnswer: p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -750, -3007, -6770, -12039?\nAnswer: -18814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -60 (base 10) to base 5.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (((-15)\/(-84))\/(10\/(-40)))\/(20\/140) - -16\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-7)\/(-14)*(5138 - 2). Suppose 4*w - 3316 = x. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 454344?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 81 is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -28, -3, 46, 131, 264, 457, 722, 1071?\n\"Answer: 2*m**3 + 11*m - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 222, 220, 218, 216, 214, 212?\n\"Answer: -2*g + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 37*t + 76. What is u(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1194989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 2*l**2 + l - 2. Let c be i(2). Find the third derivative of -3*t**2 + c*t**2 + 15*t**6 - 25*t**6 + t**2 wrt t.\nAnswer: -1200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45 = -5*g - 0*g. Let b = -15 - g. Calculate the remainder when (4*-1)\/(b\/21) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 171 and 96691?\nAnswer: 870219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17767.\nAnswer: 109, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/(-3)*324\/126. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20734720*b + 43350 = 20734295*b for b.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 1265.7019 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -4550707+-3.44\nAnswer: -4550710.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6882 and 15097?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -350*d + 350*d - d**2 + 1. Let v be m(-1). Solve -o - 3 = -v*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41 = -g + 116. What is the highest common divisor of g and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -95.77 + 65.77. Let r = 19 - 113\/6. Which is the second smallest value? (a) r (b) -3\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:42 PM and 3:07 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = -2*w + 30. Let q = w + -27. Let n = 23 - q. Round n to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 69 - 70. What is the nearest to -3 in g, 2, -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 71*r + 248 - 461 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, 0.9, -0.3, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 4*i = 0, 4*x - 3*i - 22 = -7. Which is the second biggest value? (a) x (b) -1.8 (c) -5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -30015*g*o**2 + 5967*g*o*q + 108*g*o - 2*g*q + o**2*q - 111*o*q wrt q?\nAnswer: 5967*g*o - 2*g + o**2 - 111*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(240)\/(-1*sqrt(12)) - sqrt(20))\/sqrt(512))\/((-1*sqrt(35))\/sqrt(7) - sqrt(80)*-1).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -18*r**2 - 58*r + 844. Let v(s) = -7*s**2 - 19*s + 281. Let g(w) = -2*q(w) + 7*v(w). Differentiate g(d) with respect to d.\nAnswer: -26*d - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1331*u**4 - 1936*u**3 - 792*u**2 + 432\/11 = 0.\nAnswer: -6\/11, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 344 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 22*16\/(-176)*-1*2\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00005623 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -2*n**2 - 101*n - 756. Let m be d(-38). Calculate the greatest common factor of 14453 and m.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6232 + 6232.011446. What is j rounded to four decimal places?\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2 + -6)*(24\/(16 - -8))\/(-6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 366.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 4563916 to the power of 1\/2, to the nearest integer?\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**2 + r + 1. Let g be p(0). Let c be g - ((-2)\/2 - 0). Suppose -25 = -3*i - 4*m, c*i - 2*m - 21 - 5 = 0. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -350 + 55. Let p be (-157058)\/t + ((-3)\/(-5))\/1. What is the highest common divisor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = a - 4, 0 = 2*a - 4*v + 4 - 0. What is the tens digit of -1*((a - -1) + 0) + 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 236341304 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 36186430\/208233 + -18\/23137. Let v = 174 - w. Let j = -0.056 - -0.056. Which is the nearest to j? (a) v (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 7185037116 - 25784\nAnswer: 7185011332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be 16\/(-6)*27\/12. Let h be 6\/4*(-8)\/x. What is the greatest common divisor of 4 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*(u*u*(u**0*u)\/u*u)\/u*u)\/(u**(2\/19)\/u))**(1\/4)*u**2\/(u*u\/(u\/(u*u\/(u\/u**(-3)*u))*u*u))*(u**1)**46 assuming u is positive.\nAnswer: u**(4045\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -30\/19, 2, -547\/3, 3, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52 = 4*p + 4*q, -5*p - 3*q = -6*q - 65. Suppose 3*j - p = 32. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the second derivative of 5\/6*r**3 + 5*r**2 + 0 - 2*r - 1\/6*r**4 - 1\/20*r**5. What is the units digit of f(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8 - 6. Suppose -2*h + y*w = -20, w + 44 + 14 = 5*h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -32553 - 0.\nAnswer: -32553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find u such that u**4\/7 - 641*u**3\/7 + 22188*u**2\/7 + 96476*u\/7 + 99056\/7 = 0.\nAnswer: -2, 41, 604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 33 - 45. Suppose -58 = 2*a - 2*r, -2*r - 25 = 4*a + 79. Let k = 31 + a. Sort -5, -3, u, k in descending order.\nAnswer: k, -3, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*w + 5 + 1. Let r(q) = 3*q**2 + 0*q**2 + q**2 - w*q**2. Let k(a) be the first derivative of 3*a**2\/2 + 1. Determine r(k(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 1, 2\/19, 0.004, -15\/191, -3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1309.248 rounded to the nearest ten?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -11a1488 (base 12) to base 16.\nAnswer: -348f68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.0628 + -2.00175. What is z rounded to three dps?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 597\/5 - 119. Which is the closest to v? (a) -23 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -523 + a5b6?\nAnswer: a093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 5*q = 16, 0 = -4*r + 7*r - 3*q + 9. Which is the closest to r? (a) 1\/5 (b) 0.3 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 3 - 1 + 4*h - 5. Let j be 208\/(-65) - (1 - 128\/40). Let z(u) = u. Give j*l(o) + 6*z(o).\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34676 = 15*c - 39904. What are the prime factors of c?\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = -94 - 130. Let c be 2\/(2 - r\/30). What is the units digit of (18\/(-15))\/((-6)\/c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -5*w**3 + w**2 - w + 1. Let v(x) = 10559*x**3 + x**2 - x + 1. What is f(d) - v(d)?\nAnswer: -10564*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r + 4. Let n be f(-2). Suppose 4*d + n*x = 15 + 27, -5*x = 3*d - 49. Solve 0*b = 3*b, -3*b - d = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 245, 1804, 6039, 14288, 27889, 48180?\nAnswer: 76499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -9\/4 - 13\/12. Find the common denominator of -22\/15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00010034248 to seven dps.\nAnswer: 0.0001003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {t: 4, p: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 20 and 3825720.\nAnswer: 3825720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12*1\/(-14)*(-21)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 319698 + -319697.710454. Let p = -0.289 + i. What is p rounded to 5 decimal places?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -9045*v + 72. Determine i(0).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 306338 is divided by 61264.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5292 and 420?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) be the second derivative of z**4\/3 + 6*z. Suppose -8 = -6*n + 2*n. Let t(p) = 3*p**n + 3*p**2 - 8*p**2. Calculate h(t(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that 1164*t**5 + 5357889*t**4 - 118287849*t**3 + 753762030*t**2 - 1078641900*t + 2775000 = 0.\nAnswer: -4625, 1\/388, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**3 - 17*d**2 - 16*d + 7. Let o be v(-16). Let l(n) = 2*n - 4. Let z be l(4). Suppose -33 = z*q - o*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17724340?\nAnswer: 2, 5, 19, 46643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z be 551\/5 + 7\/(-35). Does 7 divide 67\/5 - (-66)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/25 >= 34196260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m, 1 l, and 1 h when four letters picked without replacement from mlwhmcwlp.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -70.68 not equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -7*u - 1 + 14*u - 6. Suppose -3*v = -14 - 4. What is the remainder when t(v) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1709*r**4 - 3*r**2 + 9*r - 56.\nAnswer: -41016*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify h\/h**(2\/25)*((h\/h**(7\/3))\/h)\/h*(h\/h**11)\/h**(-1\/9) assuming h is positive.\nAnswer: h**(-2768\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2181220, -4362438, -6543666, -8724910, -10906176, -13087470, -15268798?\nAnswer: -17450166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -27 (base 9) to base 11\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -20*w - 7 + 67. Calculate the smallest common multiple of w and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 1 = 4*i + 1, -3*i = -5*s - 15. Let g = -1 - s. Suppose 5*z - g = 35. 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(x) = -37*x**3 - 3*x**2 - 9. Let j(b) = -372*b**3 - 31*b**2 - 93. Let u(w) = 3*j(w) - 31*p(w). Let l(d) = 8*d**3. Determine -22*l(z) + 6*u(z).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -7*c**3 - 5*c**2 - 6*c. Let v(l) = 8*l**3 + 6*l**2 + 7*l. Suppose -4*h = -q - 5 + 11, -3*h = q - 6. Calculate q*v(z) + 7*r(z).\nAnswer: -z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(5) - (sqrt(245))**2) + sqrt(50)\/(sqrt(60)\/sqrt(6)) + 0.\nAnswer: -3*sqrt(5) + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 71 + -287\/4. Which is the nearest to 0? (a) 3 (b) -1 (c) w (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kukzznzankm. Give prob of sequence nnz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (10 + -11)*-1*(-2 - (-20)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(-4)\/p)\/(p*((p*p*p\/(p\/(p\/p**(-45))))\/p*p)\/p) assuming p is positive.\nAnswer: p**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12579)\/630 + 20 + (6305\/(-150) - -4).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 915 and 18483?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5279663 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1552 and 142008?\nAnswer: 284016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (5*k**3 + 0*k**3 + 2*k**3)*(-1 - 7 + 6) in the form h*k**2 + j*k**3 + y + v*k and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 5966993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3854 and 1335014038.\nAnswer: 3854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -k. Let p be k + 3\/3 + 1. Solve 6*v - p*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 20 = -m - 2*c, 2*c = 2. Let b(y) = -151*y + 332. What is the remainder when b(2) is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 7, u: 7}. Give prob of sequence un.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 262838, 525120, 787402, 1049684, 1311966, 1574248?\nAnswer: 1836530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*o**3 + 2*o**3 + 8*o**3 + (3*o - 2*o + 4*o)*(-3*o**2 + o**2 + 0*o**2)*(4 + 5 - 2) to n*o**2 + l + m*o**3 + c*o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*b + 3*b - 3*b - 2*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -263, -338, -413, -488?\n\"Answer: -75*y - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzozo. What is prob of picking 3 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 5797344479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(85)*-4 - -1*(-1*sqrt(85) - sqrt(85) - sqrt(85)))\/(2*(sqrt(5) + 6*sqrt(80) - sqrt(5))) + 4.\nAnswer: sqrt(17)\/48 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 14*x**2 - 19*x + 7. Let z be v(-3). Let s = z - 187. Solve -h = s*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*j - 730 + 103 = -15*j. Suppose 2*s + 0*s = 110. Calculate the highest common divisor of j and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 373 minutes after 12:40 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 415 (base 11) to base 6\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 396.742 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 540841*i**5 - 119968*i**2 + 12*i.\nAnswer: 32450460*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 59206247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8 + 24. Let s = -466 + 2822. What is the least common multiple of j and (-2)\/(-7) - s\/(-133)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 98\/(-28)*6\/(-7). Solve s*d = -4*u - 16, -3*u - 2*u = -4*d - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 2*d**2 + 3*d - 6. Let c be w(-6). Let p be (2 + -4 - -20)*-1. Let a = p + c. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**3 - 12*s**2 + 12*s - 17. Let r be k(11). Let y be -12*(28\/(-12))\/(-7) - r. Calculate the highest common factor of 26 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 156*d = 31*d + 500. Let o be (-3)\/(1\/(-2)*2). Put d, 10, o in increasing order.\nAnswer: o, d, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 3*r**2 + 22*r - 3. What is x(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {g: 6, l: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*u**3 + 2 - 2 + 4*u**3 - 4*u**3 - 3*u**3 + (0 + 0 - u**2)*(3*u - u - u) + (-2*u + 3*u + u)*(-3*u**2 - u**2 + 0*u**2).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:21 PM and 12:40 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:01 AM and 10:26 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/18 and (2 + 0)*49\/84?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**3 - 6*a**2 + 11*a - 3. Let p be (3 - 4) + (-1 - 6). Calculate the remainder when 73 is divided by t(p).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -178, -184, -186, -178, -154, -108?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 21028 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -23\/290810 and -11\/12.\nAnswer: 1744860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4 - 2. Factor 2*z**3 + 0*z - 2*z**2 + 0*z - 2*z**4 + m*z**3.\nAnswer: -2*z**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 60751 - 307?\nAnswer: 60443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: ((-48)\/(-18))\/((-4)\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -8*q + 1. Let m(o) = 3*o + 17. Let w be m(-7). Let b(i) = 9*i - 1. What is w*b(v) - 5*d(v)?\nAnswer: 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*x = -6*x - 4. Find the common denominator of -73\/10 and 4 - (x + (-40)\/(-7)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-11 + 1 - 8)*(0*p - 2*p + 4*p) in the form f + s*p and give s.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 15078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -9.2 times -571?\nAnswer: 5253.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 13056 and 288.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11110000000000 + -111?\nAnswer: -11110000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i - 5*w = 6*i - 25, 15 = 3*i + 3*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 0.0275951 * 26\nAnswer: 0.7174726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*s**2 + 288*s + 6912.\nAnswer: 3*(s + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*b**4 - 318*b**2 - 15*b - 133548 wrt b.\nAnswer: 8*b**3 - 636*b - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -4403417 divided by -3?\nAnswer: 4403417\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 997281 * 0.01.\nAnswer: 9972.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 - (1 + 1 + 1 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 21697 = -3*f, -27160 = -5*n - 4*f - 0*f. Suppose 18*w - 14*w - n = 0. Let s = -4139\/3 + w. What is the common denominator of 79\/18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 128 (base 9) to base 14.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*h - 152 = -4*h. Let j be 44\/10 - h\/(-95). Suppose 0*u - 5*u = 0. Put u, 2, j in increasing order.\nAnswer: u, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1 - 4) + (549 - 2). Calculate the remainder when (3\/(-2))\/((-12)\/k) is divided by (-6)\/1 + (-66*4)\/(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12121011210 - 2?\nAnswer: -12121011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -105*f**2 - 795*f**2 - 410*f**2 + 200*f**2.\nAnswer: -1110*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6937, 12958, 17457, 19672, 18841, 14202?\nAnswer: 4993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-88)\/200*5)\/(43\/430)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*o + 144 = 10*o. Let l be (-24)\/(48\/o) + 9. Solve -8 = 3*h + l*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 66 - 1 - (-9)\/15*-5. Let n be (-2 + 43)*1\/1. Let g = i - n. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 9561764, 9561792, 9561820, 9561848?\n\"Answer: 28*f + 9561736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v*v**(-1\/4)\/v*v*v))**(-47))**(4\/11) assuming v is positive.\nAnswer: v**(141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 22.5 - 12.5. Which is the second smallest value? (a) u (b) -1\/2 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8032*o**2 + 4134*o.\nAnswer: 16064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 55764017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 21 - 18. Which is the nearest to 2? (a) f (b) -0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2057029 is divided by 189?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -19\/1232 and 107\/1770?\nAnswer: 1090320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + (9 - 7 - (1 + -2) - -17).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:43 PM and 11:53 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2482224827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4463 (base 7) in base 8?\nAnswer: 3115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1784532319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 101467 is divided by 9224.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/24 + (-7 - -7)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 971990 a multiple of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 265935712 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 78 + -32. Let s = 102 - l. What is the remainder when s is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -8\/17785 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 39 + -15. Let y = 122 - v. Let l be (-8)\/y*(-4)\/(-8). Is l > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 280 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 2308642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 3*b + 553 = 3*q, 513 = 3*q - 3*b. Let h = -12795 - -12811. What is the highest common divisor of q and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -8*k**3*n**2 - 78*k**3*n*z + 3*k**3 + 38485*k**2*n**2*z + k**2*n**2 + 5*k - 238 with respect to z.\nAnswer: -78*k**3*n + 38485*k**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.022 - -45.978. Let s = c - 48. What is the second biggest value in 1\/5, s, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the third derivative of -1\/20*y**5 - 2*y**3 + 0 + 0*y - 1\/2*y**4 - 4*y**2. Let w(b) = 0. What is b?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -4*v**2 - 5*v. Let t be 3 - 0\/1 - 0. Let a(l) = 2*l + 0*l**2 - t*l - l**2. Let d(k) = 6*a(k) - x(k). Determine w, given that d(w) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 339731.\nAnswer: 7, 48533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + -9 + 5 + -1 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -2*v - 24. Give u(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = 5*j - 5, 2*j = -y - 3*j - 3. Suppose -3*s = -y*s - 135. Let z = 338 - s. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w**2 + 70*w - 641. Calculate y(-80).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 7 (base 11) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the third derivative of 1\/15*m**5 + 5\/6*m**3 + 2 - 1\/4*m**4 + 0*m - 1\/120*m**6 - 67*m**2. Determine q(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q**3 + 3. Let n(m) = -m**2 - 10*m. Let k be n(-10). Let a be c(k). Factor 0 + 2\/3*f - 2\/3*f**4 - 2\/3*f**a + 2\/3*f**2.\nAnswer: -2*f*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 228 and 2356.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/(-4)*(3726\/3312)\/(3*10\/(-4)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -264.2 - -39.2. Let v = -225.0000102 - x. What is v rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55 = -7*y - 43. Is 12\/y + (-10466153)\/(-259) 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 12115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -30*a**2 - 1 + 10*a**2 + 10*a**2 - 2*a + 9*a**2 in the form x*a**2 + v*a + q and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 4, -1261, -5, -3, 3 in descending order.\nAnswer: 4, 3, 0, -3, -5, -1261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -91078*r**3 + 17*r**2 - 253*r + 4?\nAnswer: -546468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1958)\/890 + -1444*(-6)\/120.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 222869935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1085 - -5?\nAnswer: -1080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 318940166 to the nearest integer?\nAnswer: 17859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73 = r - 55. Let v = r - 80. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*c - 5*q + 47, -387*c + 384*c = -13*q + 32 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 42 minutes after 2:53 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**2 - 7*n + 6. Let p be g(-6). Suppose 2*s = 4*a - p, -2*a + 0 = 5*s + 6. Suppose a*z = -4*w + 28, 3 - 7 = -2*w. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3417 and 9.\nAnswer: 10251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 222, 1, 4, 1\/4, 1\/9, -58, -2\/9?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5 - -8. Let g = m - 3.1. Let u = 2.80515 + 0.19485. Which is the nearest to g? (a) 3\/5 (b) u (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*k - 12, 0 = -2*w + 2*k - 4*k + 272. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 651759193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4 + (-65)\/15 + (-2492)\/(-6). Let q = j + -284. What are the prime factors of q?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wrw. What is prob of picking 2 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = o + 3 - 1 + 1. Let a be d(-3). Solve a = -3*z + 3*h + 21, -5*h + 1 = z + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 196*y - 62. Suppose 27 - 7 = 4*l, -2*l + 50 = 5*o. Let n(p) = -295*p + 94. Let b(w) = o*h(w) + 5*n(w). What is the derivative of b(v) wrt v?\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4 - 20415?\nAnswer: -20411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 740239946 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 8867 + -4?\nAnswer: 8863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/7 + (-38)\/(-14). What is the second derivative of 3*h + h + 6*h**m - 8*h**3 + h wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 830621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -209*t + 10692. Let k be z(51). Let b(s) = s**2 - 6*s + 1. Let w be b(5). Sort -2, k, w, -5 in decreasing order.\nAnswer: k, -2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 891242 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = 4*u - 21570, 9*u = 10*u - 4*q - 5406. Is u a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 26*g**2*k**2*m**3 - 3*g**2*k + 2*g**2*m**3 + g*k**2*m - 14*g*m**3 + 4*k**2*m**3 wrt g.\nAnswer: 52*k**2*m**3 - 6*k + 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p**3 - 13*p**2 - 13*p - 10. Let k be m(-12). Suppose 0 = -5*y - 7 + k. Let t(n) = 5*n**2 + 2*n + 1. Give t(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -4*3*(-644)\/21. Let o(r) = x*r**2 - 189*r**2 - 185*r**2. Let z(g) = -10*g**2. Calculate o(z(d)).\nAnswer: -600*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 8369 - -3?\nAnswer: 8371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 146193119 is divided by 10442365.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 2*h**2. Calculate the least common multiple of (8 - 2) + 12\/(-9)*36\/(-16) and v(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 5*b - 11 = 8, -3*r = 3*b - 15. Suppose 7 = 3*k - 14. Suppose r + k = 3*w. Calculate the highest common factor of 33 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-453*v**2 + 668*v**2 - 364*v**2)*(2*v + 0 + 0)*(-v + 4*v + 0*v + (0 + v + 0)*(-2 + 1 - 7)) to i*v**4 + j*v + d*v**3 + u*v**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes before 3:47 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3.3719 - 103.\nAnswer: -106.3719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -59, -77, -95, -113, -131?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is u in -5*u**2 + 55*u + 60 = 0?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1138493547?\nAnswer: 3, 19, 67, 99371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -730, -5977, -20244, -48043, -93886, -162285?\n\"Answer: -752*v**3 + 2*v**2 + 11*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -86.07 - -87. Let q = j + 0.62. Let p = q + -8.25. What is p rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 284957 and 3134527.\nAnswer: 3134527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 966\/(-828) + (2 - 1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 4, s: 5, d: 5, c: 1}. What is prob of sequence dcm?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 26.69 + -7.17. Let j = -0.48 - q. Let h = j + 19.99977. What is h rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -17*x - 3. Let r be (-6)\/(-3) + -5 - 4\/4. Let s be y(r). Let v = s - 62. Solve -2*q - v*q + 25 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*j**4 - 288*j**3 - 7464*j**2 - 26496*j - 25392.\nAnswer: -3*(j + 2)**2*(j + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 23337671 a multiple of 8470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:51 AM and 4:22 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 496566 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2487 = -8*l + 2455 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*p = 13944 + 7614 + 1642. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-6)*-23 + -26 + 37 + (-5 - 7).\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 + 5 + 1 + 20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k**3 + 5*k**2 + 4*k + 3. Let j = -2057\/10 - -204. What is the common denominator of j and f(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -9991, -9960, -9909, -9826, -9699?\n\"Answer: 2*s**3 - 2*s**2 + 23*s - 10014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Suppose -57*o + 6 = -55*o. Let u = -17 - o. Suppose -6 = s - 11. Put -2, s, u in ascending order.\nAnswer: u, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 2*y**3 - y**2 - y + 2. Let k be q(2). Suppose -k*r + 48 = -0*r. What is the lowest common multiple of 22 and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -60 + -450?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 86 - 84. What is the common denominator of -47\/12 and (c - 55\/84) + 29\/(-116)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:51 PM and 11:08 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**2 - 8*x - 1474. Give p(-29).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1 + -3. Let j be (-6)\/(-4) + (-6)\/k. Suppose -3*o - 12 = -5*u, -13 = -5*u - 5*o + 7. Solve -j = 3*p + u*a, 0*p - 5*p + 19 = -a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(136) - (sqrt(136) + sqrt(136) + -3*sqrt(136)*2)) + sqrt(136) + sqrt(136))\/(sqrt(8) + 1*(sqrt(8) - (sqrt(8) + -2*sqrt(8) - sqrt(8)))).\nAnswer: 7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -2*a**5\/15 - 16*a**4\/15 + 2*a**3\/3 + 16*a**2\/3 - 8*a\/15 - 64\/15 = 0.\nAnswer: -8, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -668734, -1337102, -2005470?\nAnswer: -2673838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (12\/21)\/(4812\/(-5614))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001104284 rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -936 - -979. Calculate the remainder when t is divided by (1 + -7)\/(3\/(-12)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -14875 to the nearest 100.\nAnswer: -14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 103397 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4.8 and 0.2.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (30 + (-2691)\/92)\/((-60)\/8).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (4\/(-10))\/((-8)\/40). Solve 2*s + 4 = 0, c - 2*s = j*s + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12 + 39. Which is smaller: h or 28?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2 - -3)\/((-10)\/(-6))*5. Suppose -6*s + v*g = -3*s + 54, -5*s = 5*g + 90. Is (-662 - 0)*s\/36 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 95\/6 and 115\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/10 and -75\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 5*h - 52459, -3*l = -312*h + 315*h - 31461. What is the thousands digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -72 - -64 - -53 - -32?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:22 AM and 9:59 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 104709525?\nAnswer: 3, 5, 1396127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 2.054647908 rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(0 + sqrt(363)) + sqrt(363))**2.\nAnswer: 5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-333)\/63)\/(9\/42*(-6)\/9).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 168 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -55 less than or equal to -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22089 is divided by 122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -481 = -6*w + 4553. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -405633 + -41?\nAnswer: -405674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -108680 divided by 2860\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 55930665*4.\nAnswer: 223722660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*f**3\/17 + 408960*f**2\/17 + 67928694*f\/17 + 165859564.\nAnswer: -2*(f - 204646)*(f + 83)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 9 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1010120 (base 3) in base 6?\nAnswer: 3453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k*k**6*k))**(1\/19) assuming k is positive.\nAnswer: k**(-7\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -71, -176, -309, -470?\n\"Answer: -14*d**2 - 63*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/9 + (-26)\/(-6). Suppose 0*f = r*f - 140. What is the remainder when 27 is divided by ((-9)\/(-9))\/(2\/f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**3 + 2*f**2 + 8*f - 40. Let h be i(10). Suppose -5*z = -5*p - h, -4*p = -p + 9. Calculate the smallest common multiple of z and 6.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (234\/416)\/((-3)\/(-2)). Let d = -1 - -5. Which is the third smallest value? (a) g (b) -2\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 156*j**3 + 140*j**3 - 303*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -56 - -62. Is (-2 + (j - 3))\/((-4)\/(-580)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.3 (b) 7\/4 (c) 3257\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-15)\/(-35) + (-3367942)\/630. Let g = u - -5344. Calculate the common denominator of g and -67\/42.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 1683*z**2 - 2*z - 2. Let o be v(-2). Let a be -1 + 1 + 4\/o. Let x = -138025\/37037 - a. Find the common denominator of -14 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 512 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4923*y = 4745*y - 13172 for y.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - f = 94, 5*f - 3 = 7. What is the second derivative of -31 + 26*r**2 + 55 - b + 176*r - 37*r wrt r?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 796 is divided by 89.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -6 (b) 1\/3 (c) 8.687224\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -159 divided by 53\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Do 85180811 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1858707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3271800, -3271826, -3271850, -3271872, -3271892, -3271910?\nAnswer: -3271926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the first derivative of -3*b**2 + 16*b - 2. Let y(d) be the second derivative of 0 - d + 5\/2*d**2 - 1\/3*d**3. Calculate -3*m(s) + 10*y(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2*p + 2)*(9 - 22 - 7).\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 109900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -27854, -55941, -84036, -112139, -140250, -168369, -196496?\nAnswer: -224631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -66, -131, -196, -261, -326, -391?\n\"Answer: -65*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k = -4*b - 30, b + 2*b = 5*k - 40 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -33750601, -33750602, -33750603, -33750604, -33750605, -33750606?\nAnswer: -33750607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = a**3 + 8*a**2 + a + 13. Let w = 45 - 42. Suppose -w + 11 = -t. List the prime factors of u(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor m**2\/2 + 24*m - 49\/2.\nAnswer: (m - 1)*(m + 49)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.237 + -0.164. Let k = q - 1.073. Which is the closest to -0.1? (a) 3 (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = x**3 - 9*x**2 - 7*x - 21. Suppose 0*j = 4*j - 40. Let y be c(j). Solve 3*n - y = 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1 - (-2 - 0) - -1. Find the third derivative of 0*x**q - x**2 + 6*x**6 - 2*x**2 wrt x.\nAnswer: 720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from ojjjjjjjjjjjjjjjjoj.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -9 + -221?\nAnswer: -22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply -63.907 and -0.86.\nAnswer: 54.96002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 26*k**5 + k**4 - 3*k**2 + 18*k + 143 wrt k.\nAnswer: 520*k**3 + 12*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by -17667\nAnswer: -2\/17667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/9*1*6\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/67673701 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -601 divided by 5534.\nAnswer: -601\/5534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 52 = -d - 0*x, 4*d - 3*x = -235. Let i = d - -72. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) be the first derivative of 3*g**3 - 3 - 4*g - 10*g - g**2 + 19*g - 3*g. List the prime factors of x(-3).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -22 + 103\/5. Suppose -t + 4*t = -6. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0.7, -3\/14, 3, 0.1, -0.1, 3\/8, 3\/16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 18\/8 + 215177\/428?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 8 = -2*g - 2, -5*g - 25 = 4*m. Let x be (1\/6)\/(g\/15). Which is the closest to -1? (a) 0 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(2\/3))**37*(c*c\/(c*c*c\/c**(2\/5))*c*c*c*c*c)**(-1) assuming c is positive.\nAnswer: c**(304\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 4*n**3 + 160*n**2 - 5*n - 176. Let o be z(-40). Solve -o*b + 3*u - 7 = -29*b, b + 5*u - 19 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00040409623 to 6 dps.\nAnswer: 0.000404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + (-5 - -8 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 + 0 + (-3 - -3). Suppose r = 5*t + 106 - 446. What is the remainder when 41 is divided by 4\/(-12) - t\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -20*y. Let p(b) = 596*b**2. What is j(p(s))?\nAnswer: -11920*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 3*f - 4 = 0. Let g(q) be the first derivative of f*q**2 + 0*q**2 + 15*q - 20*q - 15. Differentiate g(c) wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 = -2*u + 101. Suppose -2*i + 1 = 2*y - 13, -5*i = -2*y - u. Let w be 0 + 4 + 1 - -1. Calculate the highest common factor of w and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 708036751\/(-1)*-4*1\/(-1092). Let q = -2593548 - j. Let t = -87\/13 - q. Put t, -0.4, 1\/4 in decreasing order.\nAnswer: 1\/4, t, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate -0.01031 + 29.\nAnswer: 28.98969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -18*y - 1. Let h be f(-4). Let u = h + -32. Let w = 6 + 15. Calculate the remainder when u is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -20*x + 12. Let n be w(-11). Suppose 4*v + n - 40 = 0. Let t = -191\/4 - v. Which is the closest to 2\/3? (a) -0.4 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 53 - (21 + -3 - 10 - 20 - -18).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 5*o - 18 = 2, 2*r - 8 = 4*o. Let j(i) = -2 + 4*i - r*i - 2*i. Calculate the remainder when j(-5) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**3 + 4*h**2 + 0*h + 3 + h + 2*h. Let o be k(-3). Differentiate 4 + 2 - 3*g**o - 1 wrt g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*w + 1 = -20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v = 3*y - 3, -38*v + 33*v + 30 = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 74778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -462 != -464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (288\/54)\/(-1*(-4)\/(-12)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 3, j: 5, h: 8}. Give prob of picking 3 h and 1 j.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 7 (base 16) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f be 112\/(-32)*(-1 + -1). Suppose 7 = 2*s - 3. Suppose -2*a - s*n = -6*a - 1, -4*a - 3*n + 7 = 0. Calculate the greatest common divisor of f and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 13985 + -13981. Solve p = -5, -3*v = -z*p + 9*p + 28 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**2 + 4*k + 1. Suppose 69*a + 186 = 38*a. Calculate j(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -10214*n + 35935.\nAnswer: -10214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-28)\/16 + (-1)\/(-4)*-1. Let v(g) = -g**3 - 1 - 12*g**3 - 4*g - 11 + 5. Let p = 17 - 24. Let j(n) = 4*n**3 + n + 2. Determine a*v(y) + p*j(y).\nAnswer: -2*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Total of 30.2 and -6.892.\nAnswer: 23.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -11\/1412046 and 61\/12.\nAnswer: 2824092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = 53 - 26. Let s = c + -12. What is the remainder when ((-87)\/2)\/(6\/(-8)) is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 892348 - -357591. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 14372158*a**3 - 12*a**2 - 505466975*a wrt a?\nAnswer: 86232948*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12 + 12 + 13)*(14 + 2 - 5)*(7*c - c - c).\nAnswer: 715*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 92 = 4*n + 5*x - x, 35 = n + 4*x. Let m = 219 - n. Suppose -4*v = -m + 160. Solve -7*o + 5*o = -v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -80 (b) -7392 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -22, -84, -184, -322, -498?\n\"Answer: -19*r**2 - 5*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/4)\/((-6)\/(-24))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2721*k + 2810*k - 2937 = 0. Solve -9*p + k = 24 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ytwtwyywwwyww. What is prob of sequence tt?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 54 divide (1 + 1)*874800\/216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t*t\/t**(-17))\/t**11 assuming t is positive.\nAnswer: t**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0002763 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 2*t**2 - 100849*t + 806715. What is o(8)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -3989000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 9*t**3 - 7*t**2 - 9*t - 1. Give h(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*m - m - 4*m - m - m + 0*m + (-m - 2*m + 2*m)*(3 - 4 + 2) - 4 + 4 + m + 2 - 2 - 2*m + m + 3*m - 6*m - 4*m - 24*m - 8*m)*(5*m**2 + 8*m**2 + 2*m**2).\nAnswer: -645*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 738491 to the power of 1\/2, to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -216, -187, -142, -81, -4?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -312454333 (base 6) to base 11\nAnswer: -3093198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-17*a - 17 + 17)*(-3 + 6 - 1) + (3 - 1 - 5)*(-a + 0 + 0) + (-a + 0*a + 0*a)*(-2 + 4 - 1) to the form s + b*a and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(2\/7))**(-3\/5)\/((w*w\/w**(-2\/7))\/w*w*w\/(w*w**(2\/7)\/w))*(w**(2\/7)*w**(-3))\/(w**(-7)\/(w*w\/w**(-7\/3)*w)) assuming w is positive.\nAnswer: w**(130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6\/5 or 149?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -16*l + 0*l**2 - 14*l**2 + 8*l**2 + 4*l**2 in the form q*l + n*l**2 + v and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -7*a**2 + 3*a - 9. Suppose 6*d - 6 = 5*d. Let v(y) = 6*y**2 - 4*y + 8. Let j(r) = d*v(r) + 5*z(r). Let p be j(7). What is p rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 4*o - 123. Let r be g(32). Let l = 1525 - 373. Suppose -r*y = -l + 297. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2 - -24c6ab?\nAnswer: 24c6b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 751237835 to the power of 1\/3, to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 72 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 3 + (sqrt(1053) + (sqrt(1053) + 2)**2 - sqrt(1053))*-5*3 + 1.\nAnswer: -15848 - 540*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h, 1 l, and 1 w when three letters picked without replacement from {h: 2, l: 2, w: 5, a: 1, e: 2, s: 2}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6 + -4. Suppose 40 = 2*y - 3*f, -3*f - 54 = -y - u*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 - -15 - (51 - (3 - -26)) - -87\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -1 - 4*k**2 + 9*k**3 + 7*k**2 - 2*k**2 - k**3. What is x(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k**3 - 244*k**2 - 7442*k = 0.\nAnswer: -61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -755784759.6 to the nearest one hundred thousand.\nAnswer: -755800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-14)\/9)\/(3740\/198 - 19) - 3. Solve i = 2*d + 5*n, 2*d - 3 = -d - 3*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that 3*x**2 + x - 2 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 176*c**2 + 22*c - 22. Let g(l) = 25*l**2 + 3*l - 3. Determine -22*g(t) + 3*k(t).\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1000 + 1001011111010?\nAnswer: 1001100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the first derivative of 7*m**2\/2 + 4*m - 3. Let r(j) = -8 + 7*j - 22*j - 1. Let f = 2212 + -2225. Give f*d(t) - 6*r(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2640?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s**3 - 11*s**2 + 12*s - 2. Suppose -v - 240 = -9*v. Suppose 8*a + v = 11*a. What is the units digit of p(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -877084 (base 9) to base 2\nAnswer: -1111111110011101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 759*0.23.\nAnswer: 174.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the third derivative of 8*o**7\/105 + 3*o**3\/2 + 3*o**2. Differentiate a(i) wrt i.\nAnswer: 64*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 24, 20, 2\/11, 4\/7, 0.07 in descending order.\nAnswer: 24, 20, 2, 4\/7, 2\/11, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3 + ((-20)\/(-56))\/((-11)\/110). Let n = 31 - 12. What is the second smallest value in 1, n, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2833, -11624, -26403, -47170, -73925, -106668?\nAnswer: -145399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -521527 (base 9) in base 8?\nAnswer: -1134426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 64*g - 1157. Let n be z(18). Which is the nearest to 1? (a) 0.1 (b) n (c) -1006\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17 = 12*c - 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -75*w + 1681 - 3856 = -w + 3671 for w.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 24929 less than 0.02568817?\nAnswer: -24928.97431183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -21, -18, -17, -18, -21, -26, -33?\n\"Answer: -d**2 + 6*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 5, -5, -0.6, -1.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -308, -302, -292, -278, -260, -238?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 160*c + 154*c - 9 - 317*c in the form a + r*c and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3865164 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-590 + 1832 - 657)*(1 - 3 - 16 - 2*h).\nAnswer: -1170*h - 10530","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -5464, -11511, -17490, -23401, -29244?\n\"Answer: 34*b**2 - 6149*b + 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 110, 224, 338, 452, 566?\n\"Answer: 114*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -16006*i**2 - 4*i. Let w(z) = 21*z**2. What is a(w(f))?\nAnswer: -7058646*f**4 - 84*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 119839033, 119839035, 119839037, 119839039, 119839041, 119839043?\n\"Answer: 2*m + 119839031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 10*u - 8*u - 4*u. Let g(h) be the second derivative of h**3 + h. What is g(k(l))?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*u - 118776 = 2*u. What is the highest common divisor of 101 and u?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = g**2 + 8*g - 3. Let y be t(-10). Let c = 44 - y. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 151*h**3 - 79*h**3 - 71*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 3, l: 4, s: 3, b: 5, x: 1, d: 1}. Give prob of sequence blxd.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5, 0.1, 5, -1547, -208?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1 + 36\/(-4) + 0. Let r be d\/5 - (0 + 2). Sort r, -5, 11.\nAnswer: -5, r, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 3*o**3 - 4*o**3 + 6 - 3*o**2 + 2*o + 8*o**2. Let a be n(5). Solve -4*f + 0 = -a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:27 AM and 12:48 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1070 is divided by 45?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/14 - 3105\/(-35) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 102 + -75. Let f = n - 27.039. Let k = f + -0.061. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 108 divide 13042613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -5 (b) 2\/107 (c) -21\/23 (d) -0.5 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -77640, -4, 64?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 3*k - 50 = 5*s, s - k = 0. Let l(u) = -u**2 - 7*u - 1. Let a be l(s). Let n = a - 4. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/(-130) + -2*(-34)\/130?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000096285307 rounded to six decimal places?\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ttuyuttoutu. Give prob of sequence yyou.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46*c + 61445 - 13375 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of (3 + 9 + -15)*-126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 11*d = -630. Suppose -15*w + d + 30 = 0. Put w, 4, -4, -5 in ascending order.\nAnswer: -5, -4, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -293.1 - -280. Let q = -66.1 - y. Let d = q - -53.3. Sort -0.3, -3, d in ascending order.\nAnswer: -3, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -155*y - 51. Is q(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i = -2*i + 4. Suppose 3*x = -5*j + x + 68, -8 = -i*x. Let a(c) = c**2 + 3. Let h be a(9). Calculate the greatest common factor of j and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 614820.\nAnswer: 2, 3, 5, 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/3, -2\/21, -26, -5 in decreasing order.\nAnswer: 4\/3, -2\/21, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -1706795 + -0.3\nAnswer: -1706795.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -2*t**3 - 10*t**2 - 3*t - 14. Let b(r) = -r**3 - 9*r**2 - 4*r - 13. Let q(v) = 3*b(v) - 2*s(v). Let k = 1617 + -1609. Calculate q(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1103379 is divided by 2289.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 193826 to the power of 1\/2, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -9*a**2 - 385*a - a**2 + 370*a - 25*a**2 in the form s*a**2 + d + j*a and give s.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -t**2. Let m(i) = 84*i**2. Calculate m(d(a)).\nAnswer: 84*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 5*m**3 + 3*m**2 + m + 1. Let x(c) = 9*c**3 + 6*c**2 + 2*c + 2. Calculate -6*x(r) + 11*z(r).\nAnswer: r**3 - 3*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 3814420 rounded to the nearest 100000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-72)\/28)\/(2\/(-7)). What is the greatest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) be the third derivative of g**6\/40 - 3*g**5\/20 + g**4\/4 + 3*g**2. Factor x(y).\nAnswer: 3*y*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.12227299 - 55.16.\nAnswer: -55.03772701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 30 + -28.89. Let n = u - 4.66. Let y = -3.55000338 - n. Round y to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 2*x**3 - x**2 + x + 1. Let t = 39 - 33. Suppose t*o + 10 = 11*o. What are the prime factors of c(o)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 greater than -3\/3062261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -27*t + 24. Is i(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 40753?\nAnswer: 83, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 60\/168*8\/(-10)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one halves of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2.82 + -164.18. Let x = p + 151.7. Let r = -15 - x. Round r to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-1 + sqrt(2))*-5 + sqrt(216)\/sqrt(12)*-6 + -1.\nAnswer: -23*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-23823)\/7 - (10 + (-864)\/84). Let d = b - -8550. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38 = 5*q + 3. Find the second derivative of q*c**3 + 2*c**3 + 23*c - 3*c**3 wrt c.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x. Let u be k(1). Suppose -u = -t + 3. What is the third derivative of -h**4 + 0*h**t - 2*h**2 + 0*h**2 wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 65 + 1110749946.\nAnswer: 1110750011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/((-54)\/(-12))*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wywwwwyyywwy. What is prob of picking 1 w and 1 y?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*i = 52*i + 3350. List the prime factors of i.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f**4\/5 + 8*f**3\/5 + 8*f**2\/5 - 32*f\/5 + 16\/5 = 0. Calculate f.\nAnswer: -2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Are 3590 and 3628 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -163406 (base 7) to base 9.\nAnswer: -48448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 2*g**2 - 8*g + 5. Let t be f(-6). Suppose -10*l + 59 = -11. Suppose -l*n = -2*n - t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13079 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*x - 4*z + 626175 + 216656, 4*x - 374598 = -5*z. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -87384, -87381, -87378, -87375?\nAnswer: -87372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l + 2, -5*l + 0 = s + 1. Suppose 3*x + 7 = 4*x + 5*y, 4*x - 4*y - 52 = 0. What is the greatest common factor of s and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 7737204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the first derivative of -k**2 - k + 17049. Let j(y) be the third derivative of -y**4\/8 - y**3\/3 + 4*y**2. Calculate 4*b(f) - 3*j(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v + 9 + 7. Let j(l) = l**2 + 3*l - 9. Let w be j(v). Is w equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vevleegugvuuveuger. Give prob of picking 3 g and 1 v.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be 11\/((-11)\/(-6)) + -184. Let b = c + 178. Solve -2*m + b*r + r - 8 = 0, 0 = -4*m - 4*r - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 1\/5 (b) -0.66 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 1 w, and 2 p when four letters picked without replacement from pplwlzl.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from vfvyvpvyvevrvrvvvvyr.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 110 is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 24, -73, -226, -447, -748, -1141, -1638?\nAnswer: -2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*d - 8*d + 82 + 146*d - 101.\nAnswer: 119*d - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 2*f**2 - 13*f - 37. Let o be a(9). Let u be 6\/o + 6*(-13)\/(-24). Solve -43*v + u = -44*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 3 - 5*k + 0*k - 6*k + 3*k. Let j(n) = -7*n + 2. Determine -4*i(o) + 5*j(o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -5*t - 236. Calculate x(-43).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 103563 and 16317.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 100*o**2 + 162*o - 962. What is the thousands digit of g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -4*t**2 - 1023*t - 10533. Let z be b(-245). Let a be -1*2*(-2)\/3. Solve 2\/9*i**4 - 4\/3*i**3 - 2 + 16\/9*i**z + a*i = 0 for i.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 35*(1\/4)\/(53\/(-106))?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 539*w - 548. Calculate a(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 751 a factor of 929738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4a90 - 11?\nAnswer: -4aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 4, o: 9, m: 1, y: 2, f: 4}. What is prob of sequence mg?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 11521.99 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*i**5\/5 + 22*i**4\/5 - 84*i**3\/5 + 136*i**2\/5 - 16*i.\nAnswer: -2*i*(i - 5)*(i - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 - 1. Find the first derivative of 11 - 2*a**q + 7 + 0*a**2 wrt a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 21\/5 of a meter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -7298, -14649, -22000, -29351, -36702, -44053?\n\"Answer: -7351*f + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -9*o**2 - 4276*o + 70701. Determine a(16).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -83\/4, 2\/5, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve j + 2*w - 4 = -2*j, -2*j - 3*w = -1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-74)\/(-148)*3\/6*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -346 divided by 159?\nAnswer: -346\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 17028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 8 = -12. Let l be ((-10)\/h)\/((-10)\/(-8)). Let n(v) = v**2 - 8*v - 7. Let r be n(9). Solve -y + 0*y - r*a - 3 = 0, 5*y - l*a + 15 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -57, -240, -545, -972?\n\"Answer: -61*l**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 35 and 55?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 47016 and 72.\nAnswer: 47016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -16\/567 - -599\/1134. Let t(z) be the first derivative of -8*z - 35 + m*z**2. Determine t(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.291 * -0.2\nAnswer: -0.0582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = -18 - -20. Let d be -8 + 4 + -4 + i. Let k(j) = -4*j - 21. List the prime factors of k(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 19942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -24*i + 32*i - 109336. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (12 + -9)*(1 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -41 - -45. Let j = 3 + -1. Suppose 5*y = 3*z - 34, z = -4*z - 5*y + 30. Solve -t*f = j*s - 4, -4*s + f + z = 4*f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*l**4*s + 2*l**4 - 184*l**3*s + 2*l**2 + 544*l*s - l wrt l?\nAnswer: 48*l*s + 48*l - 1104*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 91 and 195.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 601, 3, 4, -5, 30 in ascending order.\nAnswer: -5, -2, 3, 4, 30, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 32667377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-1))\/(-24)*(-9)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**3 - 4*u**2 - 11*u + 10. Let p(i) = -i**3 - 3*i**2 - 11*i + 11. Let g(z) = -5*p(z) + 6*x(z). What is the tens digit of g(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12777 divided by 4259.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 18, 51, 108, 189, 294, 423?\n\"Answer: 12*i**2 - 3*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -134 + 282. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 148 or -4119?\nAnswer: -4119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 908868 and 749202.\nAnswer: 55440948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 23 + (50 - (90 - 34)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2386586075*c + 2386586075*c + c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1619*u + 823*u - 54*u**3 + 56*u**3 - 2442*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.095 in 2\/13, 97.47, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 7714943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 4, o: 3, y: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -92*o*x**4 - 23879*o*x**3 - 5657*o*x + 11*o + 5*x - 2 wrt x.\nAnswer: -1104*o*x**2 - 143274*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g + 9 = -539889*s + 539893*s, -3*g = -s - 3 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 560 divided by 280?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 757*k**3*x**3 - 64*k**2*x**2 + 8*k*x**3 wrt k.\nAnswer: 4542*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is (0 - 50\/(-20))\/((-2)\/(-2284) + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -3 - 12\/(-8) - (-6)\/4. Suppose 0*q = q - 2. Suppose r = q*w - 3*w + 30. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + t - 41 = 0, 20*u - 5*t - 25 = 23*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 13870 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/14 - (-39)\/(-84). Let k = -17.5 + 18. Put l, 2, k in increasing order.\nAnswer: l, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -x + 45. Let j be f(37). Solve 0 = 3*m - 5 + j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-15)\/(-10)*-2*(-6)\/(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be 7\/14 - (-186)\/(-4). Let j = r - -85. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (306\/68)\/(((-154)\/(-22))\/(-126))\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 - (1 + -2)) + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 807*g + 44307 = -2499 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*c**3 + 28 - 28.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -5*n**2 + 309*n + 1835. Give q(-6).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - -120021?\nAnswer: 120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44806 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3\/4, -16\/9, -2\/7, 3.4, 2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 69447, 138016, 206585, 275154, 343723, 412292?\nAnswer: 480861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -44, -10, 163, -2, 2, 3 in increasing order.\nAnswer: -44, -10, -2, 2, 3, 4, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 224156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -275899 bigger than 7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-56)\/(-20))\/7)\/((87\/15)\/1)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w = -2462 + 2486 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-4)*o*o**(-16))\/(o\/o**2*o\/(o*o*o**(-2))) assuming o is positive.\nAnswer: o**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:48 PM and 9:30 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*g + 223 = -7. Let c be ((78\/20)\/(-13))\/(2\/g). Find p such that -c + 1\/2*p**2 + p = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2990, -5541, -8090, -10637?\nAnswer: -13182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -338.7 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the second derivative of -458*j**4\/3 - j**3\/3 + 231*j**2\/2 - 557*j - 1. Find the second derivative of d(w) wrt w.\nAnswer: -3664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2082 + 2087. Solve 0*o + q + 1 = -o, -a*q - 1 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 5 - p + 7*p**2 - 4 + 1 - 5 + p**3. Let a be m(-7). Suppose -r + a = r. Solve x - 15 = 4*x - r*i, 4*i + 10 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -16.2 (b) -0.3 (c) 3\/7 (d) 1\/5 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 4*p - 12 = p, 16 = q + 4*p. Let y(s) = -s - 3. Let l be y(-5). Solve 3*k - 5*k - c - 4 = q, 4*k = l*c + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -6*(-1)\/(-5) + 0. Let y = 833 - 832. What is the nearest to y in -0.3, -2, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 13) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4067 + 629. Let g = -2577 + s. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -999*p + 117*p = 25365 - 77403 for p.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2088633 divided by 3.\nAnswer: -696211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**9*i*i**13*i*(i**(3\/8)\/i)**(-30))**34 assuming i is positive.\nAnswer: i**(2907\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -508, -7, 0 in decreasing order.\nAnswer: 0, -7, -508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*z**3 - 355 + 14*z**3 + 355 - z**2.\nAnswer: 31*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m + 8 + 4*m**2 + 5*m**2 - 4*m**2 - 4*m**2. What is the units digit of c(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 105 and 3577728?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.077 - -41.923. Let m = -42.5 + y. Which is the nearest to 3? (a) 2\/19 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor z**3\/8 + 2547*z**2\/4 + 1272*z - 5092.\nAnswer: (z - 2)*(z + 4)*(z + 5092)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 6*g = -r - 230, 0 = g + r - 60. What is the remainder when g is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(1188)\/sqrt(11)*5 - (6*sqrt(144))\/(-1*sqrt(3)*6))*5 + 2.\nAnswer: 12 + 170*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 - -15. Let s(a) = -g*a**2 + 6*a**2 + 7*a**2. Let p(v) = -2*v. Determine s(p(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*x**3 - 9*x**2 + 3*x + 52 - 2*x**4 - 52 - x**4 = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -z**3 + 6*z**2 - 5*z + 1. Let x be a(5). Let j be (-6)\/6*x*-3. Suppose -o = s, -11 = -j*o + 4*s + 3. Put -1, o, -3 in increasing order.\nAnswer: -3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -6864039 divided by 289\nAnswer: -23751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 33\/11*(-12)\/(-9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -136 + 303. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -6*s + 1. Let z(o) = -o. Let i be (-19)\/(-6) + -3 + (-750)\/180. Calculate i*z(l) + 2*f(l).\nAnswer: -8*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be -14*9\/18 - ((-29)\/14)\/((-75)\/(-750)). Factor -534\/7*b - s - 33\/7*b**2.\nAnswer: -3*(b + 16)*(11*b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 655 minutes before 4:29 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c**(1\/2))**(-2\/35)*c**(-2\/9)\/c**(-10))**(39\/2))**7 assuming c is positive.\nAnswer: c**(39689\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -312 - -314. What is the second smallest value in -1\/2, -2\/17, -3, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -63*z - 122*z - 172*z + (-3 + 4 - 2)*(z + 0*z + 0*z).\nAnswer: -358*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*j - 7*j = -70. Let c = j - -27. What is the remainder when c is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 86531500 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 7454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*b + 179670 + 750*b**3 - 179670 - 2*b**2.\nAnswer: 750*b**3 - 2*b**2 + 21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 342*k - 14717. Let v be s(43). Let i(m) = 1. Let j(x) = x - 4. Give v*i(w) - 4*j(w).\nAnswer: -4*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 14 + -13.3. Let t = d + -0.3. Let g = -18 + 16. What is the second biggest value in 4, t, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 5*o. Let s(i) = 5*i**2. Let p(a) = a**2. Let m(k) = -2*p(k) + s(k). Determine m(v(h)).\nAnswer: 75*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 80 and 215570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5 + -8540673.\nAnswer: -8540672.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 364144 is divided by 548?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**0)**(-9)*w**(-7\/5)*w**(-2\/19)\/w assuming w is positive.\nAnswer: w**(-238\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -k - 7, 5*k + 39 = 2*j + 10. Suppose 2*w + n = 895, -n = 3*w + j*n - 1350. Is -3 + (w - (-2 - -1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t - 3 = 5*k + 21, -88*t + 0*k - k = -92*t + k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**3 + 18*p**2 - 44*p + 47. Let m be z(-20). Suppose -g - 173 = -5*f, -2*g + m = 4*f + g. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 102 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 665 = -8*x - 1759. Let n = x + 442. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 12 + 0 = 0. What is the remainder when n is divided by (-7 - -9)\/(8\/140*5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 54828474 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7\/504*6*(672\/108)\/(-7).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 46.869635 * 5.\nAnswer: 234.348175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -15700 divided by 5?\nAnswer: -3140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 59757 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1947797399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 + (-1 - -1) + 11. Let z be (-3)\/5 - s\/(-15). Solve z*t + 2*t = -4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(68) + -4).\nAnswer: -4*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 129 = -3*c + 19, 0 = 3*g + 2*c - 74. Let j = g - -2. Solve 5*s - j + 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -5*w - 2*b, -2*b + 1 = 7. Let o(d) be the third derivative of 2*d**2 + w*d + 0 - 1\/3*d**3 + 1\/24*d**4. Differentiate o(z) wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -169194, -338386, -507578, -676770, -845962?\nAnswer: -1015154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 121, 485, 1091, 1939, 3029?\n\"Answer: 121*p**2 + p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 11*k**2 - 3*k + 34. Let o be ((-10)\/8)\/((-2)\/(-7 - 1)). What are the prime factors of j(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ftthhhhaf. Give prob of picking 2 t and 1 f.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -1 + 11*v + 9*v - 25*v. Let h be n(-5). Suppose -4*p + h = 12. Calculate the greatest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**6\/b*b*(b\/b**(5\/8))\/b)**6 assuming b is positive.\nAnswer: b**(129\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**3 - 4*q**2 - 2*q + 5. Let d be f(4). Let k(y) = 20*y + 38. Let s be k(-2). Which is greater: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*l**2 + 493473 - 493473 - 20*l**2.\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 14902 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.4 + 2.3. Let q = g + -0.6. Let y = -0.1 - -0.1. Which is the closest to y? (a) -0.4 (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/y**(-3))\/(y*y\/(y\/(y*(y**(-25)\/y)\/y)*y)) assuming y is positive.\nAnswer: y**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 210 and 450?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.32800041 - -1.328. What is i rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -2*r**2 - 7*r + 1. Let d(a) = a. Let o = -1256 + 1261. Determine o*d(b) + z(b).\nAnswer: -2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/(-100)*1\/(-34)*(-200)\/25?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 90 a factor of 11340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/7, 1, -2, -0.3, -0.2 in descending order.\nAnswer: 1, -0.2, -0.3, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 841223203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -59274 by 6586.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 480*c**2 + 9*c + 11. Let d be l(-11). Suppose -2*r - 58004 = p, -p + 2*r + 2*r - d = 0. What is p rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = w**2 - w - 5. Let c be v(4). Let d = c - 4. Suppose 25*l = -285 + 360. Solve l*x - d*i - 27 = -0*x, 2*i = -5*x + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the third derivative of -p**4\/4 - 10*p**2. Let f(o) = -11*o. Let c(y) = 4*f(y) - 7*x(y). Let h(i) = 5*i**2. Give c(h(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n - 9, -3*y = -2*n + n - 165. What is the highest common divisor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 784\/6375 + -2\/375. Let j = -38.5 - -39. What is the second smallest value in 0.3, j, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r**2\/2 + 632483*r + 400034745289\/2 = 0. Calculate r.\nAnswer: -632483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = -5*u + 94, 0*u - 44 = -2*u + 2*w. Which is smaller: u or 21?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 112657.\nAnswer: 112657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = w + 5*k, -3*w + 2*w + 2*k - 8 = 0. Factor 21*y - 3*y**5 + 15*y**w - 18*y**3 - 15*y**4 + 3*y - 3*y**2.\nAnswer: -3*y*(y - 1)*(y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 18 - 12*u + 0*u**2 + 2*u**2.\nAnswer: 2*(u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 28367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -655528200 rounded to the nearest one million?\nAnswer: -656000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**36*(i\/i**(-17))\/i)**(2\/31))**49 assuming i is positive.\nAnswer: i**(5194\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -16\/5803 and 59\/237094.\nAnswer: 1659658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 367196 and 140?\nAnswer: 12851860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = -151.133 - -2.233. Let b = 156 + z. Let m = -7 + b. Put 2, -0.3, m in increasing order.\nAnswer: -0.3, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {y: 2, t: 6, k: 2, d: 4, x: 4, w: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 723483616 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r + 10 = -0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1790.17 millilitres to litres.\nAnswer: 1.79017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 5*x**2 + 4*x - 7. Suppose w + 2*g - 7 = 4*w, 5 = 3*w - 5*g. Is 23 a factor of o(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -94*a = z - 93*a - 6, 4*z = -5*a + 23 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10341739602 - 317.\nAnswer: -10341739919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 - -11. Let i be (9\/h)\/(12\/(-16)). List the prime factors of i\/(-4) - 11\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + 1 + -13 + 9 + 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + 4*sqrt(12) + 1 + (-2*sqrt(768))**2 + sqrt(132)\/sqrt(275))*5.\nAnswer: 42*sqrt(3) + 15370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are 0.0609 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - k + 2 = 0. Suppose 3*s - 18 - 6 = 0. Let r = k + s. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3166585 or 3166583?\nAnswer: 3166583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -2*(-4)\/2*(-5 + 7)*-1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ywfwwywfywwfy. What is prob of sequence wyff?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 19 - -480. What are the prime factors of j?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -p**2 - 6*p + 2. Let r be c(-6). Let a = 1 + -1. Suppose a = r*g + 2. Is g <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g**1*g)\/g**4)\/(g**(-5)*(g**(8\/7)\/g)\/g) assuming g is positive.\nAnswer: g**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 4*-1 - (-18213)\/13 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 425 and 14850?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 2 - 1)*(0*y - 3*y + 2*y) + 23*y - 16*y - 99*y to i + w*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v + 51*z - 3 = 54*z, 2*v + z - 5 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = 3*o - 2*o - 446, 122 = a - 5*o. Let u = a + -61. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -696 divided by -1?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/153817 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r*r*r**6)*r\/r**5)**29 assuming r is positive.\nAnswer: r**(-319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/15*1\/2*10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 2*n + 4*o, -3*o = -n - n - 5. Let x be 1*15*6*1\/9. What is the greatest common divisor of n and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5\/2*z**2 + 15*z + 0.\nAnswer: 5*z*(z + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1617.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/262542 and -173\/13818.\nAnswer: 262542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1362 divided by -2\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -227*m - 86*m**2 - 75*m**2 - 13*m**2 + 44*m**2.\nAnswer: -130*m**2 - 227*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qftt when four letters picked without replacement from stssfosoqnontto.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 458, 1, 0.4, -1, 2\/7, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 94602 is divided by 728?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 88*j**2 - 60*j - 236. Let h be g(-4). What is the greatest common divisor of 12 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 2*m**3 + 46*m**2 + 35*m. Calculate i(-22).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 16) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111000111000111111 - -101?\nAnswer: 111000111001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*o - 6*o - 139 = 1114 + 475 for o.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 161521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, y: 1, c: 1, q: 2}. Give prob of picking 1 y, 1 q, and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -9 + 16. Let a(u) = -235*u**2 - 12*u - 9. Let d(j) = 78*j**2 + 4*j + 3. Let r(h) = -3*a(h) - 8*d(h). Let v be r(w). Round v to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -5*m, -321 = -3*d - 3*m - 63. Let j = d + -436\/5. Solve 4\/5*l**2 + 0 + j*l = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*q - 10682 + 6350 = 55*q for q.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4a8 - -4?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/5, -1.9, -1, -549.69 in ascending order.\nAnswer: -549.69, -1.9, -1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -31 - -53. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*i - 37 = -4*v, 51*v - 54*v = 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8038 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*m - 516048 = m - 4*m - 514494 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.066063 and 199?\nAnswer: 199.066063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 42939 and 4565847.\nAnswer: 13697541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 621 + -596. Let p(k) = -3*k + 83. Let r be p(d). Solve -45 = -r*u - u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2 + 5. Suppose 0*o + 3 = 2*o - w, -4*w - 23 = b*o. Let g be -14*(-2 - 1\/o). Solve -4*c + 5*t - 3 + g = 0, 10 = 3*c - 2*t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 342 + -342. Suppose -s - 2*y = 2*s - 8, i = 5*s - 5*y - 30. Solve -3*m + 12 = -b, -s*b - 6 - 9 = -m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 15, -16, 1, -137, -5, 6 in decreasing order.\nAnswer: 15, 6, 5, 1, -5, -16, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, x: 3, z: 1, m: 1, w: 1}. Give prob of picking 1 z and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from svkaaababaakaar. Give prob of picking 2 k, 1 r, and 1 b.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 3*i + 3. Let c(a) = 119*a - 5. Let k(m) = 40*m - 2. Let j(n) = 3*c(n) - 8*k(n). Does 19 divide j(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 8\/9, -0.1, 0.24, -2, 2, -3 in increasing order.\nAnswer: -3, -2, -0.1, 0.24, 8\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 5753, 36, -3 in descending order.\nAnswer: 5753, 36, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(2\/7)\/o**(-2\/15))**9*(o\/(o**5\/o))\/o**(2\/7)*(o**(1\/4))**(-10) assuming o is positive.\nAnswer: o**(-141\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -48 - -a7cc?\nAnswer: a784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -17 + 21. Suppose -t*f - 77 + 213 = 0. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -3*u + 1. Let i = 24 + -29. Let p(y) = -2*y + 1. What is i*p(d) + 3*v(d)?\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 147212190 divided by -3200265\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 545059 is divided by 60561?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Are -57\/17 and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/(-5) + (-9878)\/110. Let i = 98 + u. Solve -3*y + y = -i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 50 (b) -0.4 (c) -0.335 (d) -2\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 2 and -2273?\nAnswer: 2275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*c**2 - 7*c - 7*c**2 - 4*c**2 + 19*c**2 to the form u*c**2 + a*c + b and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -18556*q + 1541. Is a(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i - 31481 = 20*x - 31386, -2*i + 6 = x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1051.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3787400 divided by -5224?\nAnswer: -725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -471*b + 465*b = -1302. Calculate the highest common divisor of 248 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3709203.\nAnswer: 3, 73, 16937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-5*-1*sqrt(187) - sqrt(187)) + sqrt(187))*4)\/(sqrt(121)\/(sqrt(110)\/(sqrt(30)\/sqrt(3)))).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76) - 5*((sqrt(76) - (sqrt(76) + sqrt(76)*2 + sqrt(76))) + sqrt(76)) - 2*sqrt(76)*2)\/(-5*1*sqrt(144)*-1).\nAnswer: 7*sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*k**3 + 34*k + 16*k**3 + 20*k - 6*k**3 - 29*k**3.\nAnswer: -3*k**3 + 54*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z - 0*z + 3, z = 2*d + 9. Let i(v) = -v**3 - 6*v**2 - 3*v + 6. Let l be i(d). What is the nearest to -0.1 in -2, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2 - -256?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -662000*m - 492696 wrt m?\nAnswer: -662000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*n**4 + 4*n**4 + 3*n**4 + (-2*n**2 + 0*n**2 + 0*n**2)*(n**2 - 3*n**2 + n**2).\nAnswer: 11*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1140 - 1130) + -6 + (-2 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -366 (b) 9\/215 (c) 0.06 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 2*p = 18. Suppose 22 = 16*k + p. Which is the smallest value? (a) -2\/3 (b) k (c) 0 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l**2 - 3*l + 3. Let w = 21 + -15. Let s(y) = 9 - 2 + y**2 + w + 11*y. Let d be s(-9). Give h(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5402 is divided by 165.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 259207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 180 and 26740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 45455, 45498, 45539, 45578, 45615?\n\"Answer: -g**2 + 46*g + 45410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the first derivative of -q**5\/240 - q**4\/48 - q**3\/24 - 11*q**2\/2 - 9. Let w(p) be the second derivative of o(p). Factor w(f).\nAnswer: -(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 62*z + 644. Let r be h(49). What is the greatest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wd when two letters picked without replacement from {d: 5, g: 8, w: 3}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v - h + 105, -5*h + 93 = -4*v - 0*h. Let g = 38 + v. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/(a*a\/a**(4\/9))*a**(6\/11)*a*a)**30)**(-4\/3))**(-20) assuming a is positive.\nAnswer: a**(157600\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2260334 nanoseconds in milliseconds?\nAnswer: 0.0000002260334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 12229*c - 551388 + 26348 - 3176 = 315585 for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/2 of a century in years?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 484 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.04, -176, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 13018 and 1415.\nAnswer: 65090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 4, e: 2, a: 3}. What is prob of picking 1 e, 1 a, and 2 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4 - 3710?\nAnswer: -3706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -2*c. Let z = -87 - -440. Let b = -132 - -143. Let u(t) = 353 + b*t - z. Determine u(f(q)).\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**2\/5 + 202*k + 21420.\nAnswer: -2*(k - 595)*(k + 90)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5*i*p*r + 54*i + 3*p*r + 10*p + 2*r wrt r.\nAnswer: -5*i*p + 3*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -2541091007+-14\nAnswer: -2541091021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**3 - 4*y**2 + 9*y + 4. Suppose -5*u - 30 = -0*u. Let l be p(u). Calculate the greatest common divisor of 374 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/27 in -4, -1, 64, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 195077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -k = 12*k - 52 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the second derivative of 11*k**4\/6 - 17*k**3\/6 + 29*k. What is the second derivative of c(x) wrt x?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -5*a - 5. Let h(j) = -9*j - 9. Let f(p) = 4*h(p) - 7*i(p). Let m(b) = 4*b + 3. Suppose 0 = -0*c - 4*c. Suppose c = 3*r - 3. What is r*m(t) + 5*f(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = -171.9 + 171. Sort 0.2, m, 3\/4 in increasing order.\nAnswer: m, 0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -11324771 by 13.\nAnswer: -11324771\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*k = 13*k + 3878. What are the prime factors of k?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 - -2.9. Let g = h + 0.2. Let a = g - 0.3. Does -0.2 = a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 2015, 4028, 6049, 8078, 10115, 12160?\n\"Answer: 4*n**2 + 2001*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the first derivative of -26*t**5\/5 + 8*t**2 - 69. Find the second derivative of x(n) wrt n.\nAnswer: -312*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*j**2 + 6*j**2 - 3*j**2 + (2*j - 5 + 5)*(-2*j - 2 + 2) + 2*j**2 + 4 - 4 + 4*j + j**2 - 4*j + (2*j - j - 3*j)*(-6*j + 0*j + j).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 - (-5 + -2 - -8) - (22 + 2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 3*a + 75 = 0, -7*a = 2*l - 3*a - 50. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 30*d**2 + 1267476*d - 1267476*d. Let t(o) = -209*o**2. What is x(t(h))?\nAnswer: 1310430*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 249.3, 1, 2\/3, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 divided by 239.\nAnswer: 7\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwwww. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + x**2 - 1)*(-3*x + x + x) + x - x - 4*x**3 - 3*x**3 + x**3 + 3*x**3 + (7 - 2 - 3)*(-2*x + 4*x - 4*x)*(-2*x**2 + 3*x**2 + 2*x**2).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-18 - (-4 - -1)) + (51 - 21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 294205 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 6 - (-1 - -8) - -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1332306473?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 927.1 - 925.1. What is the fourth biggest value in -3, 0.1, -2, v, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -3, -10, -2, -56, 11 in increasing order.\nAnswer: -56, -10, -3, -2, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3*1)\/((6930\/56)\/55)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*l**2\/5 + 16*l\/5 + 32\/5.\nAnswer: 2*(l + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -8*z + 2. Let w be i(-2). Solve 3*h - 3*l - w = 0, -2*l - 13 = -3*h + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22916 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -7*u**4 + 0*u**3 + 2*u**3 - 5 - 2*u**3 wrt u?\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/(-5)*2650\/312. Let u = -42\/13 - w. Let n = 0.1 + 0. Which is the nearest to -1? (a) 5 (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 348617, 1394410, 3137401, 5577590, 8714977, 12549562, 17081345?\n\"Answer: 348599*i**2 - 4*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -456678, -913371, -1370064?\nAnswer: -1826757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r - 3 = -19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2 - 1237*y**2 - 38250*y - 2 + 75236*y - 37762*y wrt y.\nAnswer: -2474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-70))\/(88\/(-308))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be 8*2\/(-4) - 319\/(-2)*10. Calculate the highest common factor of r and 258.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 31*y - 28*y - 3. Which is greater: y or 1\/73?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -2*o - 1 - 4*o + 3*o - o**2. Let f be m(-2). Let i = f - 2. Which is the nearest to i? (a) -0.5 (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 118 - 98. Solve -4*p - y = 0, -5*w - 2*p + 2 = 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -653.3 (b) -1 (c) -0.1 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -s - 13*s**3 + s**2 - 16*s**3 + 33*s**3 - 4 in the form h*s**2 + p*s**3 + a + b*s and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -24 (b) -3 (c) -0.3 (d) -2\/7 (e) 193 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-10)\/(-15)*(-159)\/4*2. Let h = -42 - p. Solve -5*i = 1 - h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5656.\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is k in 44*k**3 + 135*k**2 + 124*k**3 + 6*k + 44*k - 318*k**3 - 35*k**4 = 0?\nAnswer: -5, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of h**3*v**2 - 6166*h**2 - 5*h*v + 10*h + 43*v**2 wrt h?\nAnswer: 6*h*v**2 - 12332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5\/308, -0.5, -2\/9, -16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) -2\/9 (b) -2\/7 (c) 1\/8 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z**4 - z**3 - 2. Let n(y) = -205*y**4 - 5*y**3 + 1744*y**2 - 10. Let r(k) = -10*l(k) + 2*n(k). Find the third derivative of r(b) wrt b.\nAnswer: -10080*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -5*o + 7*o. Suppose 6 = o*j - 9. Suppose -j*x = -x - 88. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 83*m - 69*m - 77*m - 108*m.\nAnswer: -171*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -4, -1, 5, 17 in decreasing order.\nAnswer: 17, 5, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000059228 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20005 = -2*w + 2*s + 5437, 4*s - 38177 = -3*w. List the prime factors of w.\nAnswer: 3, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -222063, 1\/3, -5, -16 in decreasing order.\nAnswer: 1\/3, -5, -16, -222063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the second derivative of v**3\/3 - v - 25. Let z(y) = -116*y. Give x(z(f)).\nAnswer: -232*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - (1 + 2)) + (7 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 152 + -100. What is the lowest common multiple of 20 and o?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1749)\/(-795))\/(6314\/140).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 2 + 2 + (-1 - -2 - -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 5*s = -2*l + 26, 4*l + 5*s + 12 = 0. Suppose -i + 4*h = -244, 5*i - l*h - 1199 = -3*h. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(13)*-2*-2 - ((sqrt(52)\/sqrt(4) - sqrt(13)) + 0)**2)*2.\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5\/18 and (-83)\/(-8) + 4\/(-16)*2?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 33\/38 and -139\/12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 5.697733 years?\nAnswer: 0.5697733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 1 - 2)*(3*k**4 - 7*k**4 + 2*k**4) + 2 - 8 + 10*k**4 - 7*k**4 to t*k**2 + u + y*k**4 + r*k + o*k**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 0.092, 4, -1\/5 in descending order.\nAnswer: 4, 0.092, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the second derivative of 1\/4*n**5 + 0 + 0*n**2 - 4*n + 7\/12*n**4 + 0*n**3. Find the third derivative of x(d) wrt d.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) be the second derivative of -19*a**4\/4 - 17*a**3\/6 - a**2\/2 - 2*a - 36. What is the second derivative of s(y) wrt y?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 45228802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let h = 2.037 + -0.037. Let i = h - -11.9. Let r = i - 13.90113. Round r to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 3, r: 1, n: 3, e: 5}. What is prob of sequence ee?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that -2*i**3\/3 + 284*i**2\/3 = 0.\nAnswer: 0, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 4*q = -113, 4*n = 6*q - 2*q + 152. Find the second derivative of -161*m - 3*m**2 + 22*m - n*m + 2*m**3 wrt m.\nAnswer: 12*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 699 minutes after 12:41 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m + 2*y - 880 = -876, -2*m - 5*y = 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(-2\/13)*n**(-1))\/((n**(-2\/5)\/n)\/(n**(3\/7)\/n))*(n**(2\/7)\/(n*n\/n**(-2\/15)))**49 assuming n is positive.\nAnswer: n**(-122657\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/(-5) - 26\/(-5). What is the second derivative of -20*p**3 + 54*p + 4*p**w - 16*p**2 + 16*p**2 - 3*p**5 wrt p?\nAnswer: 20*p**3 - 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*j + 11*j**2 - 2 + j**3 - 11*j**2 to the form h*j**2 + a + q*j + z*j**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 0 - 1)*(13 - 13 - 2*l)*(-l**2 - l**2 + 3*l**2) as t*l**2 + v*l + n + j*l**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (-5 + -4 + 2*(-3 + sqrt(1872) + (sqrt(1872) + -1 - sqrt(1872)) + sqrt(1872) + (-1 + sqrt(1872) + -1 - sqrt(1872)))*6)**2.\nAnswer: -46656*sqrt(13) + 1084831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -20, -41, -76, -131, -212?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the third derivative of -l**4\/2 + 5*l**3\/6 + 6*l**2. Let n be f(-2). Suppose z - 5 = n. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-i + 5*i - 5*i)*(6*i + i - 6*i + 3*i + i - 6*i + (0*i + 3*i - i)*(-2 - 1 + 1) - 3*i + 3*i + i + 0 + 0 - i) as d*i + t + v*i**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 8 = -f. Let b(w) = w**3 + 3*w**2 + w + 1. Let m be b(-2). Suppose -66 = -m*p - j, -9 = -f*j - 3. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -18544, -0.4, 2, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 1358355 to the nearest 10000.\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4\/577 or -1319?\nAnswer: 4\/577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -155.652 - -156. Let o = i - 0.641. What is o rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 11*s**2 - 2201*s + 32378. Give o(16).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1849 is divided by 205.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1870474\/43 or -43499?\nAnswer: -43499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -27 divided by 23350\nAnswer: -27\/23350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*a**2 + 0*a**3 + 7*a**2 + 3*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 0.64841252 to 3 dps.\nAnswer: 0.648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 40681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/f**(-11))**11*f*(f**(1\/20)*f)\/f*f**(1\/33)*f)**(-20) assuming f is positive.\nAnswer: f**(-88493\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is ((0\/1*25\/(-100))\/(-2))\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -68619, -137315, -206083, -274923, -343835?\nAnswer: -412819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3 + -3c?\nAnswer: -3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32*b - 32*b + 74 - 150 + 13*b**2 + 58*b + 77.\nAnswer: 13*b**2 - 6*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) be the first derivative of o**7\/2940 + o**6\/420 + o**5\/140 + o**4\/84 + 2*o**3\/3 + 3. Let v(u) be the third derivative of s(u). Factor v(l).\nAnswer: 2*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 2*p - 5. Let h(t) be the third derivative of t**3\/6 - 3*t**2. What is -4*h(g) - u(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 0 + 2 - 2*o + 4*o. Let n be (-2 - 10\/(-4))\/((-3)\/(-294)). Let x = 51 - n. What is i(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d = 6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (-187 + 88 - 250)*(-a + 0*a + 4*a + (2*a + 2 - 2)*(-6 + 2 + 2) - a + a - 2*a) as l*a + b and give l.\nAnswer: 1047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -3*o - 24. Let x(l) = 4*l + 36. Let m(d) = -7*g(d) - 5*x(d). What is the first derivative of m(a) wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 112\/(-3752) + 1604\/(-134) - (3 - -10).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*1*(sqrt(17) - sqrt(425))*5 + 1 + ((((3*sqrt(170) - sqrt(170) - sqrt(170)) + sqrt(170))*2 - sqrt(170))\/sqrt(10))**2 + -2.\nAnswer: 152 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -15, -8, 9, 36?\n\"Answer: 5*c**2 - 8*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-8 - (-6 - 5)) + 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 2*p = 30, 19 + 27 = 3*o - 2*p. Let d(c) = -10*c - o*c + 5*c. Let f(t) = -t**2 - 3*t - 3. Let v(l) = l + 1. Let x(i) = f(i) + 3*v(i). Give d(x(z)).\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 334.1866 milliseconds in seconds?\nAnswer: 0.3341866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*p + 23*p = 270. What is the third derivative of 91*a**2 - 106*a**2 + a - 8*a**3 + p*a**3 wrt a?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 19 + -9. Does 11 divide (-2)\/(-5) - (-226)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000010934 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -17*o**3 + 15*o**3 + 5 + 2*o - 5*o**2 - 3*o + 3*o**2 + 0*o**2 in the form g*o + m*o**3 + n*o**2 + b and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 758489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k + 2*z = -73, 0 = -1122*k + 1120*k + 2*z + 76 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be -4 - 276*(-3)\/3. What is the greatest common factor of u and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -21, -8.1, -4, 2 in ascending order.\nAnswer: -21, -8.1, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k - 79 - 13 = 0, 4*k = -0*u + 3*u + 3*u + 62 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.1224631368 to five decimal places.\nAnswer: 0.12246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m**2 - m - 3. Let n(q) = 1. Let a(s) = 6*n(s) + 2*w(s). Find the second derivative of a(g) wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*(8\/(-48))\/(22\/1100)*1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -9 (b) 5 (c) -12132 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (-21 - -19 - (-47 - -6)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 46273141*p + 16628023.\nAnswer: 46273141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -743 (base 10) to base 7\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 804751.5nm in millimeters?\nAnswer: 0.8047515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -530, -533, -538, -545, -554?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*y - 8, -c - 3*y + 20 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 179636*x**3 - 90180*x**3 - 90484*x**3.\nAnswer: -1028*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-seven fifths of a gram in milligrams?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 79743699 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 108860 (base 9) to base 5.\nAnswer: 4044313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 7483.14 rounded to the nearest 100?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(4*sqrt(60) + sqrt(60)) + 2*sqrt(4860))\/(6*(1*sqrt(192) + sqrt(192) + (sqrt(1728)*1 - sqrt(1728)) + sqrt(1728))).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2886\/9022)\/((-9)\/12). Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1\/3, -5, 3\/2, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -69341\nAnswer: 1\/69341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4726262 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10157, -10060, -9963, -9866?\nAnswer: -9769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -v - 7*w + 77, -v - 66 = -3*v + v - 6*w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) 5 (b) -3\/10 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) be the third derivative of 3167*t**9\/168 + 2*t**5\/15 - 33*t**4\/8 + 1473*t**2 + 2*t - 1. What is the third derivative of v(w) wrt w?\nAnswer: 1140120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 91*g**2 + 754*g + 12. What is the remainder when u(-9) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -5*n + 18. What is the smallest common multiple of r(2) and 55?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 35790910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 22112, 22124, 22148, 22190, 22256?\n\"Answer: n**3 + 5*n + 22106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/7 of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*r - 14*r = 5*n - 5, 0 = r + 5. Solve -n*c + 3*o = -15, -o + 0 = -4*c + 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -177 = -27*b - 30 + 69 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 726 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-37)\/(-370)*(-4)\/1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d, 1 z, and 1 p when four letters picked without replacement from {p: 3, z: 1, v: 5, t: 1, i: 2, d: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 2 - 3)*(2*z - 2*z + z) + (-z + z + z)*(1 + 0 - 4) + (-1 + 1 + 1)*(34*z - 59*z + 39*z).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -74 + 77.3. Let x = u + -3.3. Let z = 0.2 - 0.04. What is the second smallest value in x, z, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*o - 4 = 5. What is the first derivative of 5*x - o - 1 + 1 - 15*x wrt x?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, -1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 3 + 1)*(x + 3*x - x) + 2 - 2 - 3*x - 2*x + 4*x - x + 0 + 0 - x + (0 - 3 + 2)*(2*x - 5*x + x) - 4*x + 3*x + 3*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 3*m + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q + 1. Let y(r) = 16*r - 11. Let w(t) = -14*t + 14. Let c(i) = 3*w(i) + 2*y(i). Give c(p) - 20*z(p).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -3*k - 6. Let y be i(3). Let n = y + 17. Find the third derivative of 4*o**3 + 39*o**n - 34*o**2 + o - o wrt o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b - 2*s - 13 + 73, 4*b - 5*s - 46 = 0. Suppose 3*i - b - 13 = 0. Suppose -i*p = p - 30. Solve -p*k = -7*k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -45*b**3 - b**2 - 5*b - 5. Let j be n(-2). What is the greatest common divisor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-12)\/(-3))\/((4\/(-273))\/(1\/(427\/(-61))))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = -k + 387, 3*x + 6*k = k - 296. Let l = 61 - x. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g + 8 = -2*p, -4*p + 18 = -3*g - p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 245080 divided by -122540.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6222482 is divided by 122?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 2*o**2 + 1937*o - 80672. Determine q(40).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 280 and 5180?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.5 + -4.5. Suppose 22 = 4*j - 2*t, -3*j + 5*t = -0 - 27. Which is the second smallest value? (a) j (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 + 18 - 8)*(15 - 14*t**3 - 15) + 11 - 4 - 3 - 64*t**3 - 4 to the form m*t**3 + h*t + y + b*t**2 and give m.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.162533 - -0.016?\nAnswer: 0.178533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -354449 (base 10) to base 6\nAnswer: -11332545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 8, 24, 40, 50, 48?\n\"Answer: -l**3 + 6*l**2 + 5*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -2*z + 35 - 89, 76 = -3*l - 2*z. Let m be (0 - -1)\/((-1)\/(-4)). Are m and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13a01 (base 11) in base 6?\nAnswer: -231513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 5 + (-8 + 2 - (8 + -3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 17 + -12. Suppose 0*c + c - k = 80, 4*c + 2*k - 290 = 0. Suppose -5*s - z*h + c = 0, 2*s - 4*h = -h + 35. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.047 + -1.247. Sort -2\/5, 1\/3, d, -3 in increasing order.\nAnswer: -3, d, -2\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7409 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -3, -14441150.\nAnswer: -14441150, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -254, -1061, -2376, -4199?\n\"Answer: -254*o**2 - 45*o + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = 93*k - 96*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 52\/39*(-33)\/(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 40*s**3*t + 75*s**3 + 3*s**2*t + 5*s**2 + s*t - 271 wrt s.\nAnswer: 240*t + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -2*t + 1. Let h(v) = -4*v + 4. Let q(i) = h(i) - 4*w(i). Let z(b) = 19*b. Give q(z(s)).\nAnswer: 76*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 - -35. Let l = i + -38. Let m = 0.5 + -1. What is the closest to -1\/4 in m, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 3*g**2 - 32*g + 625. Give n(16).\nAnswer: 881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-40)\/(-16)*(-26)\/(-325) - (-12)\/(-45)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40507 is divided by 476?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000006366296 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 11436 = -4*x, -4*x - 1197 - 4509 = -2*v. Calculate the greatest common divisor of 165 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -391967 and 0.73728.\nAnswer: -391966.26272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**3 + m**2 - m + 8. Let l be b(0). Suppose 0 = -3*d + 10 + l. Suppose -4*u + 3*x = -4, -d*u - 4*x + 32 = -2*u. Solve -4*a - u = -0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6400.633 nanoseconds to milliseconds.\nAnswer: 0.006400633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 11 - 13. Let w = 1.5 + l. Let x = -6.9 + 1.9. Put w, 1, x in ascending order.\nAnswer: x, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -49\/841070 and 185\/924.\nAnswer: 388574340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 867\/13, -4, 1\/6 in descending order.\nAnswer: 867\/13, 3, 1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*x + 0 - 2*x**4 + 1\/8*x**5 + 69\/8*x**3 - 27\/4*x**2.\nAnswer: x**2*(x - 9)*(x - 6)*(x - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2.3 - -2. Is -2\/9 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2 (b) -570 (c) 228 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 146.97 - 146. Let j = 22.878902 + -23.849. Let p = s + j. What is p rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l*l*l**(-21))\/(l\/l**(-15)))\/(((l\/(l*l**(-17)*l))\/l*l)\/((l*l**(1\/2)*l)\/l)) assuming l is positive.\nAnswer: l**(-97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + (3 - 9) + 16 + -15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -2*a**2 + 6*a. Let s(h) = h. Let z(w) = w**2 - 2*w - 2. Let i be z(3). Let c(o) = o**3 + 3*o**2 - 3*o - 2. Let g be c(-4). Calculate g*s(q) + i*b(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 15485 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 178.1 - 178. Let o be (2 + 2 + -9)\/(-1). Let r be o + -3 - 32\/18. Which is smaller: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aka when three letters picked without replacement from hhaahhhahhkhah.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 17*v - 2*v**3 + 3*v**3 - 16*v + 7*v**2 + 0*v**2. Let w be f(-3). Calculate the greatest common factor of w and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 8301 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 177*3*(-1)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -4*b + 1. Let p be l(-3). Let y be 1\/((-6)\/(-24)) - (2 - -2). Suppose y = 5*o - p*o + 48088. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 238, 229, 220, 211, 202, 193?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 131\/2090 and -41\/11495.\nAnswer: 22990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 172219474.\nAnswer: 2, 7, 12301391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -11.49546 rounded to 1 decimal place?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:45 PM and 5:27 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1976)\/(-266) + -7 + -1. Suppose -14 = -2*w + 6. Let p = -10 + w. Do c and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -17 + 22 - 32 - -47?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4*(0 - 1)\/(-2). Suppose -100 - g = -j. Suppose 2*f = -f + j. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m - 10, -2*k + m = -29 - 78. Suppose 0*z + 19 = z. Calculate the remainder when k is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-10)\/(-4))\/(5\/12). Find the third derivative of 13*n**2 - 9*n**4 - 12*n**4 + t*n**4 wrt n.\nAnswer: -360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1833*t + 1952*t - 16*i + 78, -11 = -4*t + 2*i + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -12*z. Let c be (-9)\/5*(-10)\/6. Let u(h) = 3*h. Let q(b) = -2*b. Let x(o) = c*u(o) + 5*q(o). Give x(a(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 31*p - 38 - 15 - 47*p + 24 - 25. Calculate d(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(112)*-2 - 1*sqrt(1008))\/(-2*sqrt(16) - 5*sqrt(12)\/sqrt(3)).\nAnswer: 10*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 181251400 to the nearest one million.\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -32 + 32.3. Which is the smallest value? (a) t (b) 1 (c) -1\/4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 218 - 85 = 19*a. Let u(h) = 2*h**2 - 11*h + 9. Calculate u(a).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**3 - 4*v**2 + 2*v + 4. Suppose 3*o - 4*z - 3 = -7*z, -4*o - z - 5 = 0. Let i be (-1 - -11)*o\/5. Give d(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 65567292*d**2 + 71182483 with respect to d.\nAnswer: 131134584*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 294\/560 - 4\/10\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (k + k - 3*k)*(21 - 50 - 17)*(-127*k - 9 + 9).\nAnswer: -5842*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3915 + 7034. What are the prime factors of c?\nAnswer: 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 38457647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1 - 0)\/(4\/48). Suppose 2*k - t = -6. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -2075*a**2 + 15*a. Let l(o) = 606936*o**2 - 4389*o. Calculate 5*l(u) + 1463*v(u).\nAnswer: -1045*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2736) - (0 + (sqrt(2736) - -1*sqrt(2736) - sqrt(2736))))*2 + -4 + sqrt(2736) + -1 + sqrt(2736) + -1)**2.\nAnswer: -288*sqrt(19) + 10980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are -618\/2665 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1097961*s**2 - 4452484?\nAnswer: 2195922*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1474272*h**2*w**3 - 3501*h**2*w**2 + h*w**3 + 394*h*w**2 wrt w.\nAnswer: 8845632*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 293523697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 103*o**2 + 82*o - 2. What are the prime factors of w(-8)?\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-6 - 4 + 3)*(-12*d + 2 + 13*d - 3) in the form j*d + l and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 919501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 246 and 186?\nAnswer: 7626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -6 (base 14) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7397944 = -2*i - 4002056. Round i to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*y - 3*y = 85. Suppose 0 = 5*i - n + 16, 5*n = 2*i + 2*i + y. Let c(q) = -2*q + 4. What is c(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 32 + -4. Calculate the greatest common factor of 42 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 46*c - 22*c. Solve c = 6*g - 14*g + 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-104 - 135 + 44)*(4*m**3 + 4*m**3 + 3*m**3).\nAnswer: -2145*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = 227 - 3860\/17. Let o = 17874 + -53621\/3. Which is the third biggest value? (a) -0.2 (b) o (c) l (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = 5*w - 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 120101110 - -11?\nAnswer: 120101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k be 12668\/(-12) + 10\/6. Let g = k - -1496. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 19\/2 - 39\/4. Suppose -i - 5 = 2*x, 0*i - 13 = x - 3*i. Put b, -2, x in decreasing order.\nAnswer: b, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -40 + -1 + -22 + 96.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -146da9 (base 14) in base 9?\nAnswer: -1302740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1 - 19*x + 15*x**3 + 94*x + 91*x**2 - 277*x**3 - 75*x wrt x.\nAnswer: -1572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 35324 + -35324. Sort 0.003, 0.3, n, 2.8, -0.4 in ascending order.\nAnswer: -0.4, n, 0.003, 0.3, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -242*b**2 + 1014*b**2 - 244*b**2 - 267*b**2 - 253*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 218198658?\nAnswer: 2, 3, 389, 93487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 292 and 29638?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -168806293\/13 <= -12985098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -24367 + 24367.0634. Let h = 47\/3 + -16. Which is greater: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000022759283 rounded to 7 dps?\nAnswer: -0.0000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 - 24 - 13*o + 20.\nAnswer: -13*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -i**3 + 11*i**2 + 10*i + 15. Let w be 174\/14 + 6\/(-14). Let g be b(w). Is 6 a factor of g\/(-2 - 3\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (13\/10)\/(106\/(-265))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -258 - -261. What is the second derivative of 162*n**4 + n - 59*n**3 - 55 - 63*n**l + 122*n**3 wrt n?\nAnswer: 1944*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.79 - 1.21. Sort i, -6\/5, -0.4 in increasing order.\nAnswer: i, -6\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7972930 rounded to the nearest 100000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 39, 63, 99, 153, 231, 339?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*u = 63 - 11986 - 577. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -235 (b) -5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 22\/2557 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = 2*n - n - 3*o, n + 5*o + 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*d + 22*d = 44. What is the remainder when d is divided by (4\/(-5))\/((-1)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21217524 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:17 AM and 3:53 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be (132*1)\/4 + -3. Suppose 5*k + z = 7*k. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12 + -126 + 34 + 72 + -29?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.09 + 43.09. Let h = -0.07 + -42.63. Let a = h + q. Sort a, -2, -1\/3 in descending order.\nAnswer: a, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6980.\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -67*h - 140490 = -168*h + 83*h. What is the thousands digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k - 7. Does 3 divide n(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -336404426, 1 in descending order.\nAnswer: 2, 1, -336404426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -6*t**2 + 9*t - 6. Let b(o) = o**2 - o + 1. Let q(j) = 14*b(j) + 2*v(j). Find k, given that q(k) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 4, s: 3, r: 1, u: 1, n: 2}. What is prob of picking 1 s and 3 g?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = -339\/7 + 48. Let s = -1 + 1. Let k = s - 0.4. Sort k, v, 1\/5 in ascending order.\nAnswer: v, k, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 90\/108 - 4\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 0 + 2 = 0. What is the lowest common multiple of -6*3\/(-12)*p and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 46 + (28\/(-21))\/((-14)\/(-84)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*a + 838 = -3*l + 805, 0 = -4*a + 3*l - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 101 + -22302?\nAnswer: -22201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2483 + -6411. Let r = i - 1072. What is r rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -747\/35 - -53678\/2415. Find the common denominator of 77\/12 and b.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -32.14 - 21.86. Which is bigger: q or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from zvvz?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 5*y**3 - 2*y + 1. Let q(t) = -2*t**2 + 5*t - 2. Let h be q(3). Let a = 6 + h. Let z be p(a). Solve 0 = -z*u + 13 - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3.63 - 0.03. Let u = 3297 + -3295. Which is the closest to u? (a) 1\/6 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/5, -0.04, 0.83902, -11 in increasing order.\nAnswer: -11, -2\/5, -0.04, 0.83902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -12 + 12. Suppose 0*h + 5*h + 4490 = l. Let q be (-1 + -1 + h)*-40. Round q to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**3 + 9*l**2 - 10*l + 8. Let j be (-3)\/6 - (-17)\/2. Let x be p(j). Let f be (-3)\/(-12) + (-14)\/x. Solve -5 = -f*u - 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/(f\/f**(-1\/2)))\/((f\/(f*f**1))\/f)*(f*f**(7\/2))\/(f**(-2\/15)*f) assuming f is positive.\nAnswer: f**(77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h + 4. Let n be r(-5). Let x be (1\/(-12))\/1 - 0. Do x and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4 + -1. Let h = -6 + n. Let x = 40850 + -40845. What is the closest to h in x, -2\/13, 1\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -9 - -11. Let m(l) = -7*l**3 + o*l**3 - 1 + 5*l**2 - 4*l - 2*l**3 + 0*l**3. Let c be (2 - 0)*3\/(-6). Let s(u) = u**3 - u**2 + u. Give c*m(g) - 5*s(g).\nAnswer: 2*g**3 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of -2*(-219)\/(-3)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*b**3 + 8*b**3 + 3*b**3 + (-1 + 1 - b)*(-6*b**2 + 7*b**2 + 3*b**2) - b**2 + b**3 + b**2.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1 times 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10 - (9 + -21)) + -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 63*w**2. Let f(o) = -13*o**2 - 6*o - 6. Let p(v) = -38*v**2 - 17*v - 17. Let a(q) = -17*f(q) + 6*p(q). What is y(a(x))?\nAnswer: 3087*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*c - 8*c = -2554. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 39797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*sqrt(468) + sqrt(13) + 3 + 0 + (sqrt(26)\/(sqrt(2) - sqrt(2)*2))**2.\nAnswer: 16 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 23 + -22.965. Let g = 1.007 + w. Let i = -0.042 + g. Which is smaller: 1\/14 or i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 4521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 15 and 39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sxuu when four letters picked without replacement from msushxh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -4*g - 17. Let x(m) = -9*m - 33. Let z be (-21 - (-34 - 4)) + -19. Determine z*x(s) + 5*t(s).\nAnswer: -2*s - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 84 = 3*k. Suppose -b + 5*t + 3 + 5 = 0, -2*b - 4*t = -2. Suppose 4*n - 45 = -3*m + 5*n, 0 = n + b. What is the greatest common factor of m and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -47 divided by 3719013\nAnswer: -47\/3719013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5 - 25 - -71) + -24?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29 - 8 + 23*p + 32*p - 79*p.\nAnswer: -24*p - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes after 4:18 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 215*m**2 + 5622*m**2 + 1705*m**2.\nAnswer: 7542*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0 - 3 - (-171)\/(-18)*-14. Suppose 5*c + 5*z - a = -0*c, -2*c = -4*z - 40. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2364 or 2367?\nAnswer: 2364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/(-2) - 3\/(-2). Suppose 11 = -3*p + g*k, 4*p = 4*k - 1 - 11. Sort 2, p, -3.\nAnswer: p, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - -2 - -2 - (-192 - -178 - (-41 + 6))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**3 - 43*h**2 + 6082*h + 248078. What is u(-40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -11446\nAnswer: 5\/11446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is d3a3 + 6?\nAnswer: d3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 18, 1\/7, 31.4, -0.1, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 4*b**2 - b + 6. Let y(j) = -4*j**2 + 2*j - 5. Let v(m) = -4*y(m) - 3*z(m). Let w be v(6). What are the prime factors of w\/10 - (-2)\/5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 84 + -88. Let a be 4\/((-1)\/(2\/g)). Suppose 2*v = -a*m + 100, 5*m - 5*v = 12 + 188. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1365 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 88*y + 317*y + 3*y**3 - 90*y**2 + 5*y**3 - 3*y**3.\nAnswer: 5*y*(y - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 3*v - 3. Suppose 0 = 5*a + 2*q - 15 - 2, a + q = 4. Suppose a*g - 6 = -2*b, 2*g - 2*b = -2*g + 8. Let j be (g\/(-3))\/(2\/(-9)). Determine l(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*o**3 - 35815*o**2 + 5*o + 35815.\nAnswer: -5*(o - 1)*(o + 1)*(o + 7163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11*v**2 - 10*v**2 + 11*v**2 to k*v + j*v**2 + y and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 219\/(-3) - 2400\/(-48).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by -99.\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) be the first derivative of -t**2\/2 - 6*t + 75. Suppose 0*i = -i - 6. Calculate s(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 - (8 + (-18 - 3))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 1222630, 1222615, 1222600, 1222585?\n\"Answer: -15*u + 1222645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -956*f + 903*f - 530 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*g**2 - 3*g**2 + 8*g**2 - 3*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 8 (base 11) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be 9\/(((-6)\/(-4))\/1). Let a be s*(2 - 1)*1. Let r(k) = -1 - 3*k + 406*k**2 - k**3 - 2*k + 0 - 399*k**2. Determine r(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(304) + sqrt(304)*-2 + sqrt(304) + sqrt(304))*1)**2 + -4 + ((sqrt(304) - -2*sqrt(304)) + 4 - -1*sqrt(304)*2))*-2.\nAnswer: -608 - 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 1279161*u**3\/4 - 536020485*u**2\/4 + 21799423*u\/4 - 221651\/4.\nAnswer: (u - 419)*(1131*u - 23)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/5? (a) 0.2 (b) -1\/8 (c) 5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 1280*j - 1277*j + 31 = -4*q, 4*q + 43 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.4183 and -0.3?\nAnswer: -0.12549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(6776) - (sqrt(6776) - (sqrt(6776) - (1*sqrt(6776) - sqrt(6776))))) + (sqrt(896) - sqrt(896)*-1))\/((-3*sqrt(288) - sqrt(288))*1).\nAnswer: -19*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 25 (base 16) to base 3\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1 - -4 - (-2)\/(-2). What is the second derivative of 3*l**2 - 3*l**k + 2*l - 2*l**2 wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 15 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 207*b**2 - 127*b**2 + 1443*b**2 + 596*b**2.\nAnswer: 2119*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -205*w + 817*w - 209*w - 203*w - 202*w - 152.\nAnswer: -2*w - 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 210 and 14070.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1817 is divided by 83?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -5 * 7466\nAnswer: -37330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6246 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**(-2\/3))**2*i**(3\/2)\/i*i*(i*i\/(i\/i**(-1\/5)))\/i assuming i is positive.\nAnswer: i**(139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 82 - 81. Let j(a) be the second derivative of a**5\/20 + 3*a**4\/4 + a**3\/6 + 4*a**2 - 2*a. Let d be j(-9). Is d at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2cd7b4 (base 14) to base 4.\nAnswer: 12000033102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be 839 - 1\/(1\/3). Suppose 47*z = 43*z + b. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -39398468*l**3 + 35589115*l.\nAnswer: -236390808*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 501921 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -4188145, -4188167, -4188175, -4188163, -4188125, -4188055?\n\"Answer: g**3 + g**2 - 32*g - 4188115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -14*r**2 + 137*r - 646. Give q(5).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 8457994.5 and 0.2?\nAnswer: 1691598.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -18 in 0, 38, -9, -0.19, -2\/11?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -1.8, 37, 4, 6.5, 0.3, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -333 (b) 0.54 (c) 5 (d) -3\/2 (e) -0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -10626 + 13?\nAnswer: -10613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -70*s + 1909 + 161 = 137*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -2*v**3 + 4*v**2 + 7*v - 2. Let a be k(3). Suppose 4*f = -a + 17. What is the remainder when 15 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 8 - 3 + 0 - 8*y + 1. Let a be b(-7). Suppose -3*w - a = -2*t, t + 5*w = -4*t + 105. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 - -2. Let j be s + 1\/(-1) + 9. Let y = 6 + 38. Calculate the greatest common factor of j and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the second derivative of -23*r**3\/6 + 6*r. Let f(u) be the second derivative of -u**4\/6 + 20*u. Determine f(m(k)).\nAnswer: -1058*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5104 and 2816.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1006 a factor of 1881734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(500) + -5 + (sqrt(500) - 1*sqrt(500)) - sqrt(500))*-6*-1 + -1)**2.\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*l**4 + 1 - 1 + (-117 + 79 - l - 107)*(0 + 0 - 2*l)*(l - 3*l + 4*l)*(3 - 3 + 2*l).\nAnswer: 5*l**4 + 1160*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*w + 2 - 2 + (-1 - 2 + 4)*(w + 3*w - 3*w) - 18*w + 14*w + 7*w)*(-2*w**4 + 2*w**2 - 2*w**2).\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 92079135 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 54148469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 3 (b) 2 (c) -1.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3784 - -3785. Put -1, v, -192 in descending order.\nAnswer: v, -1, -192","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 232 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20174082?\nAnswer: 2, 3, 23, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -610*u - 12671 + 7791 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 21 times -156854?\nAnswer: -3293934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 380328 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 3106 (base 11) to base 14.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 91427 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(304) + 5 + sqrt(304)) - 2*sqrt(304)*-2 - (-2 + -2 + sqrt(304) - (sqrt(304) + 2)*2)*-1)**2.\nAnswer: -120*sqrt(19) + 7609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jqqpjjjqpjpqpqjqj. What is prob of picking 2 p?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-18 - -72)\/6)\/((-15)\/(-25)) + 14.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 15\/25 - (348\/(-20) + -1). Suppose -m*u + u = 450. Is u smaller than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (156\/(-30))\/(993\/1655).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vevtsvsvtvkv. Give prob of sequence ktt.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 310*r - 14. Let u be t(2). Suppose -4*s + u = -266. What are the prime factors of s?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w - k - 0*k - 6, 4 = 3*w - k. Let j(f) = w*f + 0*f + 0*f. Let x(v) be the third derivative of -v**4\/12 - v**2. Determine j(x(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7533.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 7859.809 centuries?\nAnswer: 785.9809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2.5 + -3. Let v be (4\/(-20))\/(2\/(-291)). Let i = v + -29. Put i, -5, u in increasing order.\nAnswer: -5, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nqqc when four letters picked without replacement from {s: 1, q: 4, c: 4, n: 6}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/(-2) - 333\/(-18). Suppose 4*v + o*v = 144. Solve -5*u - v = -8*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -197.3 + -10.391\nAnswer: -207.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7*k**3 + 3*k + 3*k + 3*k - 6*k wrt k.\nAnswer: 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 0.867, -0.6, 0.4, 5, -2\/5.\nAnswer: -0.6, -2\/5, 0, 0.4, 0.867, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1990582 to the power of 1\/2, to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -210673*g**3 + 5*g**2 + 201*g wrt g?\nAnswer: -1264038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3243 - -16164\/5. Let x = -547655\/186 + 4512\/31. Let t = 2808 + x. Find the common denominator of c and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.33 and -2.33891288379.\nAnswer: -2.00891288379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6 - -86. Let r = 96 - o. Solve -g - 4*w + 15 = 1, 0 = -r*w + 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -91*t + 21. Let g(w) = 47*w - 10. Let x(p) = 2*d(p) + 5*g(p). Let l be x(2). Calculate the highest common divisor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) be the first derivative of p**4\/4 - 2*p**3 - p**2\/2 - 8*p + 1. What is the tens digit of a(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 3322 and -353.\nAnswer: 2969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 67*c - 76*c = -18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 869728 times 0.4?\nAnswer: 347891.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19265659.\nAnswer: 7, 53, 51929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 232*i**3*m - 3*i**3 + 35*i**2*m + 35*i**2 - 10*i*m + 163085*m wrt i.\nAnswer: 1392*i*m - 18*i + 70*m + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -745*y - 748 with respect to y.\nAnswer: -745","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.375 + -0.095. Let p = n - -0.21. Let t = 0 - p. Round t to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-18)*f)\/(f\/f**(-18)*f)*(f*f\/(f\/f**(1\/3))*f*f)\/(f*f\/(f**(4\/7)*f)) assuming f is positive.\nAnswer: f**(-716\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -12 + 41 - 6 - (-15 - (-9 + 5))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes before 12:49 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-60)*(-8 + 12) - (-828)\/(-135).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 11 + 11 + (-26 - -29)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -23, -33, -43?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h - 7*h = -675. Let j = h - 232. What are the prime factors of j?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - -3) + -6 + 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 679 minutes before 3:54 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 5 + -1 + 14 + (-32 - -18 - -17 - 123)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -56 - -39. Let w = -19 - t. Let q = 4 - 3.5. Which is the smallest value? (a) w (b) q (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 98 - 98. Suppose r = -l + 8*l - 392. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 109083 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -377 divided by 1.\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-5))**(2\/25)*(d**(2\/67)*d)**(-22))**(-8\/15) assuming d is positive.\nAnswer: d**(61792\/5025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -6*p**2. Suppose 8 = -47*h + 49*h. Let z(r) = 0*r + 2*r + h*r. Determine z(c(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + z - 2*z - 16 = 0, -4*m - 63 = 3*z. Let x(c) = -2*c**3 - 31*c**2 - 19*c + 16. What is the tens digit of x(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (3 + 162\/(-48))\/((-6)\/(-140)) and 50\/(-40)*(-755)\/(-150)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) be the second derivative of -x**5\/20 + 11*x**4\/12 + 2*x**3\/3 - 12*x**2 + 25*x. What is the remainder when v(11) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by 4895\nAnswer: -4\/4895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -833 divided by 7?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -10*l**2 + 22*l + 12 + 3*l**3 - 3*l**3 + l**3 - 22. Suppose 110 = -2*u + 124. Let o be a(u). Put 6, 0, 4, o in increasing order.\nAnswer: o, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -22335288 to the nearest one hundred thousand.\nAnswer: -22300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -44, -71.012, 0.4?\nAnswer: -71.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -427140 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**(-1\/7)*j*j**(-2\/5)*j)\/(j**(-1\/4)*j)**(28\/9) assuming j is positive.\nAnswer: j**(13\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 71059.\nAnswer: 71059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 3521 and -0.4?\nAnswer: 3521.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a**3 + 8*a**3 - 14*a**3)*(-2*a + 1 + 0 + 0*a).\nAnswer: 8*a**4 - 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 81911 times 6568?\nAnswer: 537991448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -12908 - -23989. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 593341 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 62, 117, 172, 227?\n\"Answer: 55*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1089574?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 737, 1, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 16 = 2*n, -2*l + 0*n - 16 = -n. Let i(g) = -g**3 - 7*g**2 + 2*g + 6. Let p be i(l). What is the highest common factor of 18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11.34 - 0.34. Let x = 17 - r. Which is smaller: x or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -89 (base 11) in base 12?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 428 minutes after 4:23 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sum 335500 and 134846.\nAnswer: 470346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -113033, -113032, -113031?\nAnswer: -113030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-50)\/(-100))\/(-1*1))\/((-1)\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-186)\/351416*-52*(32\/(-12))\/4.\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -831 - -826.81. Let y = -0.19 - j. What is the second biggest value in y, 1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the second derivative of -3*v**5\/50 + 3*v**4\/10 + 24*v**3\/5 + 84*v**2\/5 + 255*v. Factor y(c).\nAnswer: -6*(c - 7)*(c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-6)\/2)\/((-2)\/36). Let q be (-734)\/(-10) - 6\/(-10). Suppose -4*f - q = -u. Which is the third smallest value? (a) f (b) 3 (c) 1 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 4 + 1)*(10952*x + 10669*x - 22510*x).\nAnswer: 1778*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = 77 + -77. Let a(o) = o**2 + 17*o + 2. Let b be a(c). Solve -t - b*n + 6 = 0, -4*t = -3*n + n + 26 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 43554098 and 15265?\nAnswer: 217770490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*c**4 - 36*c**3 + 26*c**4 - 13*c**2 + 42*c - 163 - 6*c**5 - 39*c**2 + 90 + 91 = 0. What is c?\nAnswer: -1, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s - 25 = 2*o, 5*s + 5 = 64307*o - 64306*o for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 118 - 79)*(7 + 6 - 4)*(5*j**4 - j**4 - j**4).\nAnswer: -5184*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/(-90)*(-7)\/(98\/(-35))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(1728))\/(sqrt(486) + sqrt(486)*2) - 2*(sqrt(48) - -5*sqrt(48)*2)\/sqrt(6).\nAnswer: -388*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**3 + 7*w**2 + 7*w + 8. Let n(o) = -6*o**2 + o + 1. Let p be n(-1). Let y be s(p). Let z(h) = 2*h. Calculate z(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2282 - 3105. Do f and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve j = 2*v - 1 - 0, 5*v + 4*j + 17 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = 3*y - 2*y - 662, 2*y = 5*r - 1646. Suppose r = 252*a - 247*a. Calculate the least common multiple of a and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 times 97?\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2745*v**2 - 17*v**2 - 2*v**3 - 2728*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(175) - ((sqrt(77) - (sqrt(77) + 2*sqrt(77) + sqrt(77)))\/sqrt(11) + sqrt(7)))**2 - (5*(sqrt(448) + -2)*3)**2.\nAnswer: -101252 + 7200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.4 + 5.9. Let m = -6.8 + u. What is the third smallest value in 0, m, -4\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 109*i + 245. What is n(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 125580 a multiple of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4504\/(-24)*21\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6 - -11. Suppose -4*w = 3*s - 40, -3*w - 3*s + 7 = -26. Suppose 5*u - 17 = -3*g, 0 = c*u + 2 - w. Solve -4*x - g - 8 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.5 - 1. Which is the second smallest value? (a) -0.3 (b) -5\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 26*d + 31*d - 80*d + 25*d + 6.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 578 divide 428876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 215163959 to the power of 1\/2, to the nearest integer?\nAnswer: 14668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let -3*y**2 - 11202834*y - 10458624135963 = 0. What is y?\nAnswer: -1867139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 11*w + 7*q - 6*q + 109, 8*w - q = -2*w - 70 - 31 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -112*w - 20 = -108*w + 2*y, y + 18 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 0 smaller than -2\/1083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*q**3 + 22*q**3 - 74*q**3 + 25*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -23 - -25. Let q be 30\/(-35)*(-7)\/r. Is (2\/6)\/(q\/5157) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 = -41*i + 2. Suppose -z - 3 - 5 = -4*g, 4*g + z = 0. Let l be g\/(-6)*(-6)\/(-4). Is l bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jwjwwyywwww. Give prob of picking 2 w.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 83410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/27, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3 - 3 - -2) + -2. Suppose 2*t + t - 6 = f. Suppose -t*g + 47 = -71. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 15\/(-30)*(1 + -9). What is the third smallest value in -1, f, 2\/9, -2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.123367465 rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 l and 1 v when four letters picked without replacement from lvvllvll?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fgxbhbxzf. What is prob of picking 1 x and 1 h?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*p - 233*p - 416*p - 512*p + 40*p.\nAnswer: -1088*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 20 by -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 548*f**2 - 1070*f**2 + 557*f**2.\nAnswer: 35*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve d + 4 = s - 3, 0 = -d + 4*s - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (128\/(8\/1))\/(2*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/154)\/(((-15836)\/(-518))\/107).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 590574 is divided by 1530.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify a*a**(6\/5)*a\/(a\/(a\/a**(2\/19))) assuming a is positive.\nAnswer: a**(294\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7\/2 + 19\/6. What is the nearest to 0 in 4\/3, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 81527263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2002 - 2?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 443856 and 344064?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-69)\/21 - (4 + -7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -99*b**2 - 100*b**2 + 200*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be (7 - (-120)\/(-18))\/((-7)\/6). Which is the closest to -2\/13? (a) r (b) 3\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4\/(-14) + (-4)\/(-14). Let l(r) = r**2 - r - 1. Let z(f) = 7*f**2 - 6*f - 12. Let o(k) = 6*l(k) - z(k). What is o(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 96*z - 12. Give x(5).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g + 2*g - 25. Let z(l) be the third derivative of -5\/6*l**3 + 0*l + 2*l**2 + 1\/4*l**4 - 1\/60*l**5 + 0. What is z(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-m**3 - 37*m**2 + 1370 - 1370)*((2 - 1 + 0)*(-2 + 3 + 0) + 2 - 5 - 2 - 3 - 3 + 3).\nAnswer: 7*m**3 + 259*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*h + 6*a - 15217 + 15256, -5*h + 19 = -2*a + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-92)\/322 + (-1 - 220\/798). Let l = -36\/19 - o. Does l = -541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-6)\/2*(-2)\/12*4. Let c(l) = l - 3*l - l - x*l. Let q(z) = -z**2 - z - 1. Let y(m) = -4*m**2 - 3*m - 3. Let j(h) = -3*q(h) + y(h). What is c(j(o))?\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (34*z + 31 - 31)*(z + 2*z + 0*z + (0 - 1 - 1)*(-z - 2*z + 2*z) + 0*z + 2*z + 0*z) to r*z**2 + a + y*z and give r.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1466, 1526, 1586, 1646, 1706, 1766?\nAnswer: 1826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-30)\/(-8) + (5\/(-5))\/(-4). Let d = 6.0633 + -0.0533. Let g = d - 6. Which is the nearest to 0.1? (a) n (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 287 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 3*j + 42. Suppose 0 = 4*p + 12, 3*t - p + 34 = -5. Let o be v(t). Suppose -5*i - 2*i + 3353 = o. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c + c + 2*z = -16, 4*c - z + 14 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**2 + 6. Let p be y(0). Let z be 2*3\/12*p. Suppose 144 = z*t + 54. What is the remainder when t is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/29? (a) 4 (b) -0.3 (c) 5 (d) -8\/9925 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 167*o*q*t**2 + 2*o*q*t + 173*o*q - 2*t**2 wrt t?\nAnswer: 334*o*q*t + 2*o*q - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -4*g + 3. Let l be 18\/(-30) - (-113)\/5. Let d(a) = 19*a + 3*a + l*a - 32. What is 3*d(s) + 32*u(s)?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 457 - 457.7. Suppose 4*o + 12 = 7*o. Suppose 0 = -2*i - 5*u - 0*u + 25, i = 3*u - o. What is the second smallest value in b, -2, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -p**2 - 2*p**2 + p**2 - 4*p**2 + 7*p**2. Let v(x) = -129*x**2. Give w(v(h)).\nAnswer: 16641*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.4 + 2. Let g = o + -0.6. Let r = g - 1. What is the third biggest value in 1, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w - 4*b + 1, 3*b - 5 = 2*w. Which is bigger: -3\/19 or w?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 26804 or 26802?\nAnswer: 26804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -4*i**3 - 3*i**2 - i - 1. Let z(s) = 2*s - 6. Let o be z(6). Let t = o + -8. Calculate the remainder when d(t) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/2*21\/84?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -103616*t**3 - 3197.\nAnswer: -310848*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -5407 greater than -5407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 47, 175, 389, 689, 1075?\nAnswer: 1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3040.659 - 3039. Let m = w - 0.079. Round m to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 81508 (base 10) to base 12.\nAnswer: 3b204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 270 minutes before 10:50 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(605) + -4 + 3)**2 - ((sqrt(180)*-4 - sqrt(180))\/sqrt(9))**2*4.\nAnswer: -2606 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of 11.26029 and -0.3.\nAnswer: -3.378087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1961965?\nAnswer: 5, 79, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 6*f - 11*f = 7, 15 = 5*v - 5*f. Calculate the smallest common multiple of v and 147.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y - 1. Let m(u) = -18*u + 16. Suppose -5*b + 1 = 6. Let q(n) = b*m(n) - 6*x(n). List the prime factors of q(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 25*z - 6. Let y be r(1). Which is smaller: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 21\/8 of a second?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 861\/(-48) - 125\/2000.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 1 + 480210*j**3 - 480204*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 494868 a multiple of 506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:18 PM and 6:43 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14627 and 1831.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -54\/25 + 584\/275. Let g be (-2)\/(-11) - 128\/(-22). Let z(x) = x**3 - 6*x**2 - x + 7. Let q be z(g). Is t smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (u + u - u)*(207*u - 207*u + 8*u**2) + (3*u - 2*u + 0*u)*(2*u**2 - 3*u**2 + 3*u**2).\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 18903357 and 2189.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the third derivative of -u**5\/30 + 2*u**4\/3 + 3*u**3 - 111*u**2 + 2*u + 9. Factor d(q).\nAnswer: -2*(q - 9)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -28 - -19. Let o = -12 - t. What is the closest to -1 in o, 4, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 2, k: 1, q: 1, p: 3, v: 3}. Give prob of sequence kc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -471*h + 5933 = -59*h - 63*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 18613 by -4.\nAnswer: -18613\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -b**3 - 9*b**2 - 6*b + 23. Let w be p(-11). Let u = w + -313. What is the remainder when 195 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l**3 - 2*l**2 + 3*l. Let z be i(2). Suppose -4*n + v = -9*n - 18, 0 = 3*v - z. Put n, -3, 1 in increasing order.\nAnswer: n, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(10)\/(sqrt(32)\/sqrt(4)))**2 - ((-3 + -2 + sqrt(5))**2 + sqrt(5) + (sqrt(10)\/(sqrt(2)*-3))**2))*4.\nAnswer: -1019\/9 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 186, -3, -4.\nAnswer: -4, -3, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 17296 divided by 752\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h - 2. Determine j(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -242341 (base 6) to base 10.\nAnswer: -21301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -11597 - -11604. What is the greatest common factor of 47 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1349 greater than or equal to -5397\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m - 3*v = -m - 47, 0 = 4*m + 5*v - 35. Let j = 2 + 4. Factor j*i**2 + 9*i**2 - 19*i + m*i**2 + 4 - i.\nAnswer: (5*i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 592 + -372. What is the tens digit of z\/30*(-6)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4.11 - 0.11. Let c = -14168 + 98983\/7. Let r = c - -27. Put r, 3, q in increasing order.\nAnswer: r, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -63*m - 40*m - 58 = 45 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = b**3 - 4*b**2 - 5*b - 19. Determine z(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let -4*r**3 - 1598*r**2 - 23776*r + 12288 = 0. Calculate r.\nAnswer: -384, -16, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 0 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of r**4 + 23 - 6 - 18*r**4 wrt r?\nAnswer: -68*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 8 = 0, -4*w - 5*a + 10*a = -82. What is the highest common factor of 2 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (4\/(-3))\/(-3*(-4)\/(-36))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-14)\/3*(-11)\/66*9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 406*u - 3. Let v(b) = 2*b. What is s(v(j))?\nAnswer: 812*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 40 and 348?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = k + 5. Let u be l(-3). Let d = -2 - -1.9. Let b = -1398 - -1398.2. What is the nearest to b in d, -4\/7, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -6*c**2 + 7*c - 1. Let s be (-752)\/(-184) + (-4)\/46. Let b(v) = 7*v**2 - 8*v + 1. Determine s*b(z) + 5*i(z).\nAnswer: -2*z**2 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-14)*(-54)\/36*-35*640\/1680?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/c**(-1\/3))\/c**(-2))\/(c*c**(-1)\/c)**(2\/5)*((c**(1\/2))**(1\/9))**(-2\/77) assuming c is positive.\nAnswer: c**(12931\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f + 5. Let z = -38 - -56. Suppose 0 = -4*i + z - 26. Let u be 0\/i*6\/12. Determine m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in eleven halves of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*14\/(-63)*30\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**8*r*r**(-1\/11)*r*r*r\/r**(1\/2)*r**(-1\/2))**(6\/7) assuming r is positive.\nAnswer: r**(720\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -348a247a + -2?\nAnswer: -348a2481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 489062539?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 85.54738 kilograms?\nAnswer: 85547380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -3*y**3 - 454*y**2 + 282*y - 2305. What is r(-152)?\nAnswer: 1039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -1040*u = -570*u - 663*u - 10808 for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*v - 1 - 34 = 0. Let g be 6\/v*10\/4. Let h be (g + 4)*1\/3. Are h and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5)\/(50\/(-4))*(-1554 + 1559)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3168 divided by 99.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 12560 - -11?\nAnswer: 12601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24500585.\nAnswer: 5, 4900117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-8)\/(-16))\/(42\/(-4)) + 64200\/(-1260)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 - -4)*5\/4. Let s be (18\/21)\/((-8)\/(-112)). Suppose -w*g = -3*g - s. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -14*h**4 + 3*h**3 + 3*h + 15. Let i(p) = 29*p**4 - 7*p**3 - 7*p - 29. Let f(w) = -3*i(w) - 7*q(w). What is the derivative of f(g) wrt g?\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -104874462 divided by -693.\nAnswer: 151334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 22 and 249602089.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(-12)*1854\/(-515)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 965953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -425*w**2 - 592*w**2 - 37*w**2 + 3153*w**2.\nAnswer: 2099*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9391097 is divided by 5079?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 793.34005 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6 - 5. Let d(y) = 3*y**3 - 2*y**2 + y. Let g be d(i). Solve -3*f = g*f - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 155952970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.143 + -245.\nAnswer: -245.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17.168*-0.6.\nAnswer: -10.3008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16 is divided by 60\/8*4\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 5*y**2 + 19*y - 10. Does 30 divide r(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1699 less than or equal to 1700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 3624*u + 45 = 3619*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = -5*c - 12. Suppose -m + 2 = -c. Let i be (-6)\/m*4\/(-12). Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c**2 + 6*c + 37. Let i(x) = -3*x**2 - 11*x - 73. Let o(v) = 11*a(v) + 6*i(v). What is the first derivative of o(d) wrt d?\nAnswer: -14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-14)\/12)\/((5 + 0)\/30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 12 - 14. Let q = t + 2.00012. Round q to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -20, -3, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -71 - -140. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3168257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 25\/565464 and -145\/848196.\nAnswer: 1696392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a centimeter in millimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -100*j + 201*j - 103*j + 6.\nAnswer: -2*j + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 10\/80381 and 53\/14?\nAnswer: 160762","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**3 - 47*b**2 + 46*b. Calculate p(46).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 526 is divided by 425.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 5041 = 3*w + 2030, -3*w + 4704 = 2*d. Find p such that -p + 1018*p + 136*p**2 + 2359*p**3 - d*p**3 + 139*p = 0.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 2*v**3 + 17*v**2 + 9*v + 11. Let x be b(-8). Suppose w = x*w - w. What is the biggest value in -83, -2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1596a (base 14) to base 2.\nAnswer: 1101001011101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 39 = -4. Let r = i - 23. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes after 9:15 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**2 + 15*d + 3. Is 6 a factor of u(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -a**4 + a + 1. Let u(x) = x**4 + 6*x + 9. Let m(p) = 6*d(p) - u(p). Find the first derivative of m(j) wrt j.\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/((-98)\/7 - -7 - 5). Let b(z) be the first derivative of -1\/5*z**5 - 1 + 1\/2*z**4 + 0*z**2 + 0*z - c*z**3. Factor b(t).\nAnswer: -t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -61\/1164 and 107\/1416?\nAnswer: 137352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 499*q = 588*q - 1068. Let t(k) = k + 10. What is the lowest common multiple of q and t(8)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -111110100111 (base 2) to base 12.\nAnswer: -239b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m + 9. Let l be j(9). Let w = -0.74 + 0.24. Which is the closest to l? (a) w (b) -0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16 and 188?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 12129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 174*l - 11. Is v(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29 - -153.5939.\nAnswer: 182.5939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 2072 (base 10) to base 16.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 110*x**5 + 44*x**2 + 4*x?\nAnswer: 6600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q be (7 - 9)\/(0 - 2). What is the hundreds digit of 459\/q + 3 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 188*x - 2. Let k be c(-4). Let j = -4577\/6 - k. Find the common denominator of j and 3 + (-42)\/(-44) + -2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the second derivative of -17*u**7\/14 - u**4\/3 - 5*u**3\/3 - 23*u**2\/2 - u - 51. Find the second derivative of a(m) wrt m.\nAnswer: -1020*m**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(0 + sqrt(2800)).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 3*r + 4*r + 1 = 0, -2*r = -2*u - 6. Put u, -1, -3, 13 in descending order.\nAnswer: 13, u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 795b4418 + 1?\nAnswer: 795b4419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the first derivative of -3*q**2 - 4*q - 412. Give p(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 6 = -q. Let t be (5 - q) + (0 - 0). Suppose d - 5*i = 2*d - 47, t*d - 64 = 5*i. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 40\/11 and 70\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19082 is divided by 19056?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -1513045*j. Let u(n) = -450*n**2. What is c(u(s))?\nAnswer: 680870250*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -6478 (base 11) to base 5\nAnswer: -233210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(78) + (sqrt(78) + sqrt(78)*-1)*-5 - sqrt(78)) + sqrt(78))\/sqrt(6).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.063890454 times 3\nAnswer: -0.191671362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 1 = 1. Let v(h) be the first derivative of 2*h**2 + h - 109. Let b(s) = 3*s. Give g*v(c) - 3*b(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.2 (b) 1026110 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 137196?\nAnswer: 2, 3, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 70660 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 252427331 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 110 and 418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/10 or 2424699?\nAnswer: 2424699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 62 + 3c41?\nAnswer: 3ca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 268 + -137. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*x + 13*x - 16*x)*(-3*x**3 + 4*x**3 + 2*x**3) - x**4 + 4*x**4 - 2*x**4 + (-x + 3 - 3)*(5*x**3 - 3*x**3 + 0*x**3).\nAnswer: 20*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1154 + 1174. Is r equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 8\/8*(3 + 93\/(-30)). Let u = -1\/10 + o. What is the closest to u in 0, -3\/4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -4*n + 824, n - 5*c - 186 = -0*n. Let m = -61 + n. Calculate the highest common factor of m and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 20 and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p + 5*y - 25, -3*p - 5*y + 25 = 0. Is p bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0405 + -0.04915.\nAnswer: -0.08965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 23351851?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -149\/60 and -169\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2790\/13 (b) -0.2 (c) 2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 49*t + 113 - 762 + 61 = 0 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand u - u + 2*u**3 + (u - 5*u + 2*u)*(-3*u**2 + 2*u**2 - u**2) - 18*u**2 + 13*u**3 + 18*u**2.\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**2 + 3*h - 12. Let m be k(3). Solve 0*l = -m*l + 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of (-992426)\/(-30) - (-16*(-66)\/180 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 333017 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 52*o**2 + 6*o + 5. Let n(f) = 152*f**2 + 17*f + 14. Calculate 8*b(g) - 3*n(g).\nAnswer: -40*g**2 - 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = 552716 + 664885. Suppose -3*m + 3*g = 960006, -g - v = 2*m + 234131. What is m rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p - 4. Let x be q(-6). What is the units digit of 0 - 0 - x*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + -7 + 12 + 2 + 9 + -3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**2 + 8*z - 9. Suppose 0*p - 5*p - 60 = 0. Let u = 18 + p. Determine v(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 2*h**2 - 2*h - 1. Let k be (-9)\/27 - (-7)\/3. What is s(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/30 of a hour?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**1)**(3\/16)*r**(2\/3)\/(r\/((r*r*r**(-7)*r)\/r)))\/((r**(-4\/3)\/r*r**(-6))\/(r**(-4\/3)\/r*r*(((((r**7\/r)\/r)\/r)\/r*r)\/r*r)\/r)) assuming r is positive.\nAnswer: r**(233\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*w - 42724 = -11*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -22\/7 and -44\/127239?\nAnswer: 127239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -2470 = -13*d - 2639 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 5dcd5 (base 14) to base 6.\nAnswer: 4534055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the first derivative of 0*s**4 - 22\/7*s**7 + 0*s**6 + 0*s**5 - 8\/3*s**3 + 0*s + 12 + 0*s**2. Find the third derivative of v(o) wrt o.\nAnswer: -2640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 41 + -29. Suppose -t - s = -2*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*z + i - 55, 117*z - 70*z + 815 = 4*i for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 376 = 18*c - 1028. Calculate the highest common divisor of 5304 and c.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -23*t - 7. Let b(o) = -o**3 - 4*o**2 + 7*o + 4. Let a be b(-5). Is j(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h**2 - h. Let t be r(3). Let q be 107\/7 + t\/(-21). Let m be 5 + -1 - (-2)\/2. What is the highest common divisor of m and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 2*z. Let c(g) = 4*g - 2*g - 2*g + 4*g. What is t(c(r))?\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -2, -1\/17, -701, 73, -2\/7, -0.1?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 24 = 9. Let i be (-1)\/(-20)*5*12. Suppose 0 = -2*q + i*u + 2*u + 94, 0 = 4*q + f*u - 158. What is the greatest common factor of 462 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -406 times 38?\nAnswer: -15428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -104 divided by 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, b: 1, g: 2, p: 1, c: 2}. What is prob of sequence cc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3.66 - 2.9. Let s = m - 0.8. Let z = s + -0.36. What is the third smallest value in 2, 1\/10, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -12212 + -132202?\nAnswer: -211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes after 2:21 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (-1*sqrt(700) - sqrt(700)) - (-3 + (sqrt(700) - (sqrt(700) + -2*sqrt(700))) - sqrt(700)))**2*-5.\nAnswer: -31820 + 2400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffffffdffff.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 58408272 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 377*k**2 + 0*k**3 - 463*k**2 + 54 - 9 - k**3 to t + p*k**2 + s*k + a*k**3 and give t.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that -m**2\/4 + 15341*m\/4 - 23007\/2 = 0.\nAnswer: 3, 15338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-13 + 13 - 35*w)*(4 + 4 - 21) + w + 0*w - 2*w)*(9*w + 10*w + 5*w) to the form p*w + t + o*w**2 and give o.\nAnswer: 10896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -234?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*b - 174 = 90, -a - 5*b - 28 = 158 + 29 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -131.4 - -131. Let m = 0.5 - 0.6. Let x = m - v. Which is the nearest to 0? (a) -5 (b) x (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 27.4 - 9. Let w = -3.5 + 21.5. Let k = w - g. Which is the second biggest value? (a) -1\/5 (b) k (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -6 or 0.21200045?\nAnswer: 0.21200045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 1 + 3 = 0. Is ((-16)\/12)\/(x\/(-2118) + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1771.9819 minus -1.05?\nAnswer: 1773.0319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9, -18, -27, -36, -45?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 3*k - 4*k. Suppose -5*r - 2*m + 297 = 0, 2*m = -4*r - k*m + 238. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*h**4 + 157*h**4 - 1786*h**4 + (h**2 - h**2 + h**3)*(4*h + 0*h - 2*h))*(2 + 6 - 5).\nAnswer: -4905*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*o**3 + 139*o**2 - 2*o - 357 wrt o.\nAnswer: -18*o + 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 13972897703512 minus 0.05?\nAnswer: 13972897703511.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = -2*b. Suppose 127 = g - b*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = -989 + 405. Let m = a - -570. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = -3*y + 19, y + 6 = -y. What is the remainder when 52 is divided by w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 673\/11 less than 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 + 2. Let d be y\/2 - 10\/(-4). Suppose -2*n + 7 + 34 = d*x, 0 = -5*n + 20. Solve 20 = m + 3*m + 4*b, -4*m = b - x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 132297.081 hours to weeks.\nAnswer: 787.482625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(20) - ((sqrt(60)\/sqrt(3) + sqrt(20))**2 + -5 - sqrt(20)))*-2.\nAnswer: -24*sqrt(5) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let 950195*d**2\/2 + 2850561*d\/2 - 36 = 0. Calculate d.\nAnswer: -3, 24\/950195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 132, 478, 824, 1170?\nAnswer: 1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.17? (a) -7 (b) -2 (c) -150.2 (d) 8 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2 - -7. Let s be (13*-1 - -1)*(-1352)\/5408. Solve c*n - s = 6*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1773\/8*r**3 - 5557167\/2*r + 8732691 - 3\/8*r**4 - 173745\/4*r**2.\nAnswer: -3*(r - 3)*(r + 198)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*p**3 + 33*p**2 - 14*p.\nAnswer: p*(p + 7)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -132355 less than or equal to -132355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6 or 0.7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 8 + -13. Let p = -4 + 8. What is the biggest value in u, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -502367425084.000000049 - -502367424837. Let t = 247 + o. Round t to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11663506 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor o**2 - 502*o - 2535.\nAnswer: (o - 507)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3200*t - 255191 = 26409 for t.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 2*f + 5 = 2*f, -2*f + 5 = -n. Suppose 0 = 10*w - 46 + 16. Put 2, n, w in decreasing order.\nAnswer: w, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 109 + 27 - 10*g + 58 + 27 + 130 as r + j*g and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 113 = -38. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1160, -1161, -1162, -1163, -1164, -1165?\n\"Answer: -c - 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-1793)*(-6622)\/602*-1\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 3, -2\/9, -13, -0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 71 a factor of 204563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 11319 by -343.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 34 + 54. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 71129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 2*m**3 + 22*m**2 + 13*m + 35. Let g be c(-10). Suppose 69 = 2*z + 191. Let q = z + g. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/21, 0.5, 44.\nAnswer: -2\/21, 0.5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 43 + 22631. Let y = -42442 - m. What is y rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000006354672 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {x: 3, h: 10, k: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1138*y**5 - 315*y**3 + 29*y**2 - 13*y - 343 wrt y?\nAnswer: -68280*y**2 - 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(13) + sqrt(637) + -1).\nAnswer: -1 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkkkkmmkkfmfmkmkm. Give prob of picking 2 k and 1 m.\nAnswer: 27\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22166438.\nAnswer: 2, 7, 1217, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -1 (b) 8\/7 (c) -41 (d) -4.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -37543 (base 15) to base 16\nAnswer: -2b230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 445136 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1401?\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 23434012 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00004292882 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 3945.448m to nanometers.\nAnswer: 3945448000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -143597 or -143600?\nAnswer: -143597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 58 (b) -2\/7 (c) -5 (d) -9 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 91\/2617266 and 29\/135?\nAnswer: 117776970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 - (-5)\/(-5)) + -2 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -417*s + 19096 = 17*s for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -638, -633, -626, -617, -606, -593?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -4*u**2 - 18*u - 53. Let r(h) = -h**2 + 48*h - 259. Let x be r(6). Let s(a) = -3*a**2 - 12*a - 38. Let j(c) = x*s(c) + 5*i(c). Determine j(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 22 = -4*t + 2*h, t + 6 = -2*h. Let s(m) = -m - 4 - m + 6. Determine s(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((128\/(-40))\/(-2))\/((-2)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (-n + n + n + (-1 - 3 + 5)*(4 - 2*n - 4))*(5 + 13 + 7) + (0 - 1 + 0)*(5 - 5 + n) as d*n + u and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7036 is divided by 6988?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Is 57860519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -3, -3.826, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.816 in 10\/223, 3, -3?\nAnswer: 10\/223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + g)*(-3 + 4 + 3) + (0 - 3 + 4)*(3*g - g - 5*g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be (3\/4)\/((-81)\/5598). Let m = l - -52. Which is the closest to 2\/7? (a) m (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**3 - 13*c**2 + 6*c + 18. What is the tens digit of f(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -3*w**3 - 239*w**2 + 580*w + 501. Calculate z(-82).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 33 and 3264063?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 28*h**3 + 3*h**2 - 68*h - 22. List the prime factors of q(7).\nAnswer: 19, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 921 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -0.2, 1978431\/10, 4 in descending order.\nAnswer: 1978431\/10, 4, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -627 - -798. List the prime factors of p.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4 - (-5 + 3))\/((-1)\/(-2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -5 (b) -0.02 (c) 0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 119377 is divided by 9186.\nAnswer: 9145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out 99 * -40.\nAnswer: -3960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/315*(-2 + 52)\/10\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -1604, 5, 2, -24, -2 in descending order.\nAnswer: 5, 2, -2, -6, -24, -1604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(-6))\/(34\/(-24))*(-10)\/30?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 + 0.000003. What is s rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r + 11 = -m - 10, 0 = -2*r + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -h + 4. Suppose 9*o + 137 - 65 = 0. Calculate v(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -291070 smaller than -291062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-110)\/(-6) - 6\/45*(-125)\/(-50)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1520*a = -12575*a - 56380 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1 + 43*3\/(-24) and -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -3*p**3 - 4*p**2 + p. Let d be v(-4). Suppose 119*y = d*y - 25. Suppose -4*g = -8*g + 16. Calculate the remainder when y is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -23\/11 and -10\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -102 (b) 0 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -15 + 29. Let t = -12 + b. Suppose t*x - x = -s + 228, 238 = x + 3*s. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3\/244 - -251\/19276. Suppose 25*v + 20*v = 9*v. Is p at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*p**3 - p**4 + 4*p**3 + (-p**2 + p**2 + p**3)*(-22*p + 23*p - 18*p).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 122165784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.501 and -1.3161?\nAnswer: 1.8171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 63701 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 276\/135 + -2 + 6545\/748 + (-26562)\/1080.\nAnswer: -79\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2462\/309 (b) 1 (c) -8 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k = 3 - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from geipp. Give prob of sequence gpi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*m + 31*m = 0. Let j be (7 - m)*36\/84. Sort -1, 5, 0, j.\nAnswer: -1, 0, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7921218 is divided by 2640383.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s and 1 g when three letters picked without replacement from smgsgsmgmsmsggsggssg?\nAnswer: 56\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 140379*-289\nAnswer: -40569531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*v - 3*v - v - 2*v - 3*v + 2*v + (v - 5*v + 3*v)*(3 + 1 - 2) - 4 + 4 + v + 3*v - 4*v + 0*v + 62*v + 23 - 23.\nAnswer: 56*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 655287.3 days to nanoseconds.\nAnswer: 56616822720000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1375 divided by 5.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -2358*y - 1033. Is t(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -a7 (base 15) to base 4.\nAnswer: -2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (25\/15 - 0)\/(-1)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 17\/3840 and 95\/8.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -0.46*0.3\nAnswer: -0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**3 - 7*u**2 + 8*u - 109. Let z be y(8). Which is greater: z or 91\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -67*t**3*y + 83077*t**3 + 48*t**2*y - 3*t*y wrt y.\nAnswer: -67*t**3 + 48*t**2 - 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2001 - -9506. Calculate the highest common factor of g and 665.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**2. Let x(m) = m**2 - 18691. Give x(g(d)).\nAnswer: d**4 - 18691","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 585 minutes after 7:51 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y = -12*y + 2804. Suppose 2092 = 5*a + m, -4*a + 963 = 4*m - y. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 13*u + 52 = -5*u, 0 = -2*p - u + 14. Solve 62\/7*q**3 - 34\/7*q**2 - 32\/7*q + 0 + 4\/7*q**p = 0.\nAnswer: -16, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 41943421*k - 41943679*k = -5934 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2496 and 3180.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -449 - -450. What is the second smallest value in 3\/5, 71\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(-2)*4*((-240)\/(-555120))\/(2\/(-6)).\nAnswer: 2\/257","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 599 a factor of 24924989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = -24 + 24.6. Let j = g - 0.1. Which is the nearest to 1? (a) 2\/5 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -59\/200 and 89\/10684?\nAnswer: 534200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + -4 + 7 + -4 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3*-5*539\/(-735)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19, -62, -133, -232?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -95 + 11 = -6*k. Let b(w) = w + 25. Let m be b(k). Are 39 and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 32*d**2 + 16*d**2 + 0 + 13*d**2 - 10.\nAnswer: -3*d**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1162, 1133, 1090, 1027, 938, 817, 658, 455?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 293 divide 3795947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6215, -24366, -54623, -96992, -151479?\nAnswer: -218090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 4*n**2 - 4*n + 3. Let h be u(1). Let a(m) = -m**2 + 4. Give a(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 12*c - 122. Suppose -51 = -5*w - m, 12*m - 9*m - 13 = -w. Let h be x(w). Let f(o) = -o**2 - 3*o - 2. Calculate f(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xnn when three letters picked without replacement from {n: 2, h: 1, x: 2, s: 1, e: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 4, -3, -5, -216, 121, 0.\nAnswer: -216, -5, -3, -1, 0, 4, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 + -7. Suppose -b - 4*z = -7*z - 17, 5*b - 4*z - 41 = h. Suppose 3*x = 5*k + 58, 0*x = b*x + 4*k - 109. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 678.07195 + 56.91\nAnswer: 734.98195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3498 and 10821646?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.4? (a) -2\/505 (b) 6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 11 - (1 - -2 - -1) - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**4 - 183*u**3 - 4568*u**2 + 378000*u - 373248.\nAnswer: -(u - 32)*(u - 1)*(u + 108)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + -3 - (0 + 0 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-4382)\/6573)\/(10*(-1)\/18)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be (7 - 5)\/((-1)\/(-2)). Find the second derivative of -2*z - z**4 + 0*z**4 - 3*z**j wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -4*o**2 + 141*o - 163. What is i(34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the first derivative of -g**2\/2 - 12. Let r(s) = -13*s**2. Determine k(r(f)).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 5855020 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 87*h. Let c(l) be the second derivative of l**4\/12 + 12*l - 8. What is c(x(p))?\nAnswer: 7569*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -663, -459, -255, -51, 153?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 218806 and 1204.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve y**5\/2 - 14235*y**4\/2 - 170925*y**3\/2 - 555605*y**2\/2 - 199458*y = 0 for y.\nAnswer: -7, -4, -1, 0, 14247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = 26 - 26. Solve -2*l + 14 + 2 = -4*x, y = 2*l + 4*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -57, -7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 2*w**2 - w + 4 + 5*w**3 - 6 + 2. Let y be q(1). Find the second derivative of 4*u + 11*u**3 - y*u**3 - 5*u**3 + u**4 wrt u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 2071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 225, -3, -4, 4, 5 in ascending order.\nAnswer: -4, -3, 4, 5, 6, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11, -12, -19, -32?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 41 - 37. Calculate the remainder when 12 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 431025 and 693?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -488 times -7\nAnswer: 3416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -2*r. Let d(l) = -2972611*l**2. Give a(d(b)).\nAnswer: 5945222*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -1756*p. Let b(n) = -208282*n**2. Give o(b(m)).\nAnswer: 365743192*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/53431 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6222 and 96.\nAnswer: 99552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -82105, -82466, -82829, -83194?\n\"Answer: -g**2 - 358*g - 81746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 483099?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -320 + 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 85, 160, 225, 280, 325, 360, 385?\n\"Answer: -5*y**2 + 90*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 373*p - 423*p = -7750. What is the remainder when p is divided by 147?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15947 is divided by 389?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -139\/16464 and -25\/1744.\nAnswer: 1794576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 539\/(-245) + (-545)\/25?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:16 PM and 6:48 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 12.53753563 + 2.14\nAnswer: 14.67753563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l + 6. Let g be j(5). Let w be 7\/(105\/36)*(-50)\/20. Let z be (-20)\/176*w\/5. Is g > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 47*a**2 - 2*a - 2. What is the units digit of j(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2930297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**3 + 27*l**2 - 156*l + 2995. What is t(25)?\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 133 and 7841946?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 113 a factor of 460701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 272.404 + 0.096. Let l = z - 273. Which is the nearest to -3? (a) 1 (b) 3 (c) l (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7.19 times 4?\nAnswer: -28.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 + -4. Suppose -g*i - 2 = 19. Let r(p) = -p**2 - 8*p + 8. Let a be r(i). What is the greatest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**3 + 28*s**2 + 73*s - 5. What is the least common multiple of 207 and m(-25)?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 + -1 - (29 + -69 + 44).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 2*g + 2. Let o(p) be the first derivative of p**2 + p - 2. Determine 3*f(y) - 4*o(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -0*k + k. Let u(s) = -k*s + 2 + 3*s - 2. Give u(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -19291, -19473, -19641, -19789, -19911, -20001, -20053?\n\"Answer: h**3 + h**2 - 192*h - 19101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 518, 516, 500, 464, 402, 308, 176, 0?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1258246)\/360 + (-6)\/27. Let t = 3490 + u. Find the common denominator of t and (-5 - (-514)\/96) + (-5)\/3.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -22 + 46. Suppose 5*h + 192 - 222 = 0. Suppose 3*a + 57 = 2*i, -117 = h*i - 11*i - a. Calculate the smallest common multiple of q and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (8\/(-3))\/2*3. Let d = 0 - -2. Sort d, -3, o in descending order.\nAnswer: d, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - t + 5 - 10)*(3*t**2 - 2*t**2 + t**2 + (-3 + 3 - 2)*(5*t - 3*t**2 - 5*t)).\nAnswer: -8*t**3 - 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 313660254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (64 - -2) + 3 + (55 - (173 + -102))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 56 - -2660?\nAnswer: 26b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -6*j. Let b(q) be the third derivative of q**5\/10 - 45*q**2 + 1. Determine w(b(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5 + -1. Suppose 5*s = 5*c - 5, -3*s = 3*c - 5 - 4. Let b(a) = -a**2 - a + 3. Let g be b(-2). What is the biggest value in c, -0.1, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2197 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -9*u**2. Let o be y(-1). Let r(c) = 267 + 2*c - 512 + 256. Calculate r(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3136406 divided by 1?\nAnswer: 3136406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 246857 is divided by 1436?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Let h = -147 + 146.93. Which is the second biggest value? (a) 1\/3 (b) -0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3.8 or 6?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply 984 and 99600.\nAnswer: 98006400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -60 + 105. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -21, -18, -15, -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 54.1345 to 1 dp.\nAnswer: 54.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {p: 2, i: 9}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 94369\/16 - 5903. Find the common denominator of s and -29\/11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 3*u = -a - 167, 2*a - 212 = -5*u. What are the prime factors of (u\/(-12))\/((-2)\/12)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1617 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 67139422.\nAnswer: 2, 7, 109, 43997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 3*r + 1677 - 1678, r = 4*l + 4. Solve r = b - 5*y - 30, 0 = 4*b - 0*b + 4*y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 755534.\nAnswer: 2, 13, 29059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 595 is divided by 67.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {p: 1, e: 5, f: 12}.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -1 equal to -4\/2801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:36 AM and 3:54 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let 28652616*w**5\/7 - 238350438*w**4 - 1730389608*w**3\/7 - 33501484*w**2\/7 - 218032*w\/7 - 474\/7 = 0. What is w?\nAnswer: -1, -1\/153, 237\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - (2 - -1) - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 378 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -80 - -5 - (-49 - (1 - 12)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -14*l**3 - 44970*l**2 - 6599472*l - 941864 = 0. What is l?\nAnswer: -3058, -154, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 159*q - 1032*q - 137*q**2 + 2*q**3 + 435 + 317*q**2 + 261*q**2 - 5*q**3.\nAnswer: -3*(q - 145)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-46)\/(-230)*2\/((-32)\/20)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = q - 7. Suppose 0 = -3*x - 5*j + 7, -j + 3 = -4*j. What are the prime factors of ((-88)\/(-20))\/(x\/q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(70)\/(sqrt(1000)*2).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 7829, 2\/13, 0.5 in ascending order.\nAnswer: 2\/13, 0.5, 7829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.77 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 509, 607, 703, 797?\n\"Answer: -v**2 + 101*v + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/231017 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -26*f**2 - 3*f - 5. Let w(s) = -78*s**2 - 8*s - 14. Calculate 8*u(l) - 3*w(l).\nAnswer: 26*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 592 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -1202 (base 4) to base 12.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -d - 1. Let i(h) = -19*h - 5. Let r be (5\/2)\/((-275)\/(-110)). Give r*i(v) - 6*x(v).\nAnswer: -13*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 951.046ml in litres?\nAnswer: 0.951046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 6*b**2 + 1035*b - 19171. What is t(17)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - j + 4 = -3*x, -x = -j + 4. Let i be ((-3)\/((-9)\/(-2)))\/((-15)\/45). Does 9 divide -36*(i + x + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -86*d - 121. What is n(-2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be 16\/18 - 4\/6. Let z(t) = -t**2 - 77*t + 151. Let y be z(-79). Sort 10, y, 3\/2, j in ascending order.\nAnswer: y, j, 3\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 17*b**3 - 3*b**2 - 11*b - 10. Let c(i) = -35*i**3 + 4*i**2 + 19*i + 20. Calculate -3*c(o) - 5*u(o).\nAnswer: 20*o**3 + 3*o**2 - 2*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f + 32 - 11. Let q be (13\/(-3))\/((-3)\/(-9)). Let j = q + f. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p - 26 = 3*a + p, -4*a - 4*p + 8 = 0. What is the closest to a in 3, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*t = 12*t + g - 37, -4*t - 4*g = 32 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 604*f**2 - f - 1. Let s be m(2). Let l = s + -19265\/8. Find the common denominator of 59\/28 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 359 is divided by 68.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -1765, -1764, -1763, -1762, -1761?\n\"Answer: g - 1766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 405 and 81.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -119\/6 and -2\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is (-9)\/6*11228456*16\/(-192) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -x**2 + 7*x + 1. Let u be (-7)\/(-14) + (-11)\/(-2). What are the prime factors of b(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 209 + -69. Suppose 0 = -4*c + 2*d + a, -c - 2*d = -d - 35. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1)\/((2\/(-4))\/(264\/48)). Suppose -2028 = -k*v + 4737. What are the prime factors of v?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16 + 13 - 16 + 2*r**3 - 13 - 15*r**3.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -2760*t**2 - 73*t + 26. Determine k(1).\nAnswer: -2807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -309 divided by 6?\nAnswer: -103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -2*c**2 - 14*c - 12. Let m be x(-5). Let r(t) = -4*t + 21*t + t**2 + 5 - m*t. Let a be r(-10). Solve -2*b - b = -a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -3*n**2 - 280*n - 345. Calculate q(-92).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 309584 is divided by 38696?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 5953.021 to the nearest 100.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 82891281 a multiple of 686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h*h*h**(1\/3)*h*h)\/h*h\/h**(-3\/7)*h*h*h**(-8)*h*(h\/((h**7\/h)\/h))\/h*h assuming h is positive.\nAnswer: h**(-68\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (110\/(-16) + 1)*24\/36 and -55\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -2*s + 15. Suppose -1802 + 1782 = -2*b. Give l(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwcntjptn. What is prob of sequence wtcn?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 2\/2*(5\/(-3))\/(-5)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*h*i*x**3 - 25*h*i*x**2 + 5*h*i*x + 2*h*x - 8*i*x**3 - i*x - i wrt x.\nAnswer: 12*h*i*x - 50*h*i - 48*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -146 + 146.7. Which is smaller: g or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.601111 - 3.4411099. Let p = t + -0.16. What is p rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 4*s**2 - 2*s - 26. Suppose f + 4*l = -7, 0*f = f - l - 8. Let q = -358 - -676. Calculate the remainder when q is divided by u(f).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -5717 * 0.2.\nAnswer: -1143.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of -58078 and -0.06.\nAnswer: 3484.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 648, 655, 666, 681?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -7, -0.3, -9, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 3*t**2. Let q(d) = -4*d**2 - 6*d - 10. Let j(w) = w**2 + w + 1. Let s(c) = 6*j(c) + q(c). Let y(a) = -1. Let r(x) = s(x) - 4*y(x). What is r(o(l))?\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 39092933 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*i**4 - 7077*i**2 - 2*i + 101621.\nAnswer: 12*i**3 - 14154*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-24)\/(i*i**30\/i*i))**(-42) assuming i is positive.\nAnswer: i**2310","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-1456)*(-3164)\/452?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5656)\/2121*(-4)\/(-40)*-1*15\/34?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from {d: 5, i: 1, r: 7, o: 5, w: 1}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4530*r - 233*r**2 + 4530*r)*(-r + r + 2*r**3).\nAnswer: -466*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10 + 101230?\nAnswer: 101300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2154.07? (a) 1 (b) 1\/14 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 869*a + 3991 - 1992 - 1999 - 2116*a**5 wrt a.\nAnswer: -42320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) -3\/5 (b) 2\/11 (c) -1\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sk when two letters picked without replacement from qqqqzkkqkszzzzzk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6075 and 99825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 456 minutes after 1:14 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -59*43140.\nAnswer: -2545260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = v**2 - 4. Let f be h(0). Sort -1, f, -3, 2 in descending order.\nAnswer: 2, -1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = 5*h + 23, y - 2 = -h - 1. What is the smallest common multiple of y and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1110001101100000 - -100?\nAnswer: 1110001101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 3*u**2 + 6*u + 6. Let d be o(-2). What is the highest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -9*l - 14. Let o be b(6). Let a = o - -119. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -a**2 + 2*a**2 - 2*a**2 + (2*a + 1 - 1)*(4*a - 5*a + 2*a) - 2 + 2*a**2 + 2 + 0 + 0 + 2*a**2 - 8*a**2 - 4 + 4 - 18*a + 18*a - 4*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 222 rounded to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -395659 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(1\/9)\/(j\/(j**(-1\/10)*j)))**(-3\/10)*j*j\/j**(-3\/8)*j**(1\/4)*(j**0)**(-1\/50) assuming j is positive.\nAnswer: j**(1573\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the third derivative of y**6\/180 + y**5\/9 + 11*y**4\/12 + 4*y**3 - 369*y**2. Factor u(s).\nAnswer: 2*(s + 3)**2*(s + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -5, 2023, -40 in decreasing order.\nAnswer: 2023, -3, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*t + 19*t + 120 = 0. Suppose 19*y - 2808 = -t*y. What is the greatest common divisor of 78 and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -2 and 4747.6671.\nAnswer: -9495.3342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*q**4 - 6*q**4 + 2*q**4 + 3*q - 3*q - q**4 + (-4 + 1 + 4)*(0*q - 2*q**4 + 0*q) + 3*q**4 - 3*q**4 - q**4.\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1\/2, 5, 6, -1\/2, 508, -2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1144, -1140, -1134, -1126?\nAnswer: -1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0 (c) -3 (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -283, -302, -331, -370?\n\"Answer: -5*r**2 - 4*r - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 25 = 0, f - 5*w + 26 = -0. Let y = 70.1 + -68.1. Put f, 5\/3, y in decreasing order.\nAnswer: y, 5\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9 + -5. Suppose i*f + 5*k = -6, 0*f - 4*f + k + 6 = 0. Let g be (7\/(-21))\/(f\/(-12)). Solve t - 3*t = g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the first derivative of -2*w**5\/5 - 3*w**2 + 7. Find the second derivative of h(v) wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -67264 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -4*g**2 - 20*g + 15*g + 9*g**2 - g**3 + 1. What is c(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -2*s - 11. Let i(p) = -5*p - 32. Let a(y) = -17*g(y) + 6*i(y). What is the units digit of a(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19933457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put together -368.3 and -29.230475629.\nAnswer: -397.530475629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 11*s**2 + 497*s + 35. Let h(y) = 7*y**2 + 497*y + 28. What is -5*h(t) + 4*v(t)?\nAnswer: 9*t**2 - 497*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:11 PM and 7:28 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*g = 31*g - 1860. Let u = 6 - 1. Suppose -5*n + g = -u. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -269 (b) 2494 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g - 4. Let w(x) = x - 9. Calculate -5*v(d) + 2*w(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g\/(g**4\/g)*g**(2\/27))**(-34) assuming g is positive.\nAnswer: g**(850\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the third derivative of 0*v**3 + 0*v**4 + 0*v + 1\/210*v**7 + 10*v**2 + 0 + 0*v**6 + 1\/30*v**5. What is the third derivative of x(l) wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 3*m - 9. Suppose -u = m*h + 6, -5 = -0*h + h. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 5, 6, 1, -2 in descending order.\nAnswer: 6, 5, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -401924*o*w**3 - o*w**2 - 13205*o - 154*w**3 - 5968*w**2 wrt w?\nAnswer: -2411544*o - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 67*l**3 - 7*l**2 - 27*l + 13. Let v(d) = 34*d**3 - 3*d**2 - 12*d + 6. Calculate 4*a(h) - 9*v(h).\nAnswer: -38*h**3 - h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b + 5*b = 3*a, 0 = 2*b. Let i = -0.54 + 2.54. What is the nearest to a in -1, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**2 - 12*x - 3. What is l(9)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 436 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 1\/2 (b) -2\/11 (c) -2\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -6\/5731957 and -59\/4913106?\nAnswer: 34391742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -90248 >= -90262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-306)*81666\/(-9074).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -84200000 rounded to the nearest 1000000?\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.08? (a) -1\/2 (b) 5855 (c) -1 (d) -2 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 74 - -21. Suppose 3*g = 2*g - 3*r - 67, 43 = -g + 5*r. Let n = g + d. Calculate the remainder when n is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 7*n + 2. Let a be z(-5). Let d be 4\/(-22) + (-72)\/a. Let c(k) = k**3 + d*k + k**3 - 5 - 3*k**3 + 5*k**2. Calculate c(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 4*k**3 + 13*k**2 - 4*k. Let z(b) = -2*b**3 - 7*b**2 + 2*b. Suppose 33 = 5*l + 13. Determine l*q(o) + 7*z(o).\nAnswer: 2*o**3 + 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0 + 1 - 0\/12. Let o(s) = 5 + 9*s + d - 6*s. Suppose 24 = 3*j - 7*j. What is o(j)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 2*v + 303 = 0, h - 4*v - 134 = -h. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = r**3 + 2. Let f be z(0). Suppose 1 = k - f. Let x be k + 0\/3 + -2. Solve 0 = c + u + 10 - x, -4*u - 28 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.4287 rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13 + -12.91. Let g = 3.1919 + -0.0419. Let z = g + -3.15. Which is greater: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -2*r**3 + 6*r**2 - r - 5. Is j(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 140799, 284472, 428155, 571854, 715575, 859324?\n\"Answer: m**3 - m**2 + 143669*m - 2870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 2020 by 5.\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, o: 4, a: 9}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of -606*(-10 + 44\/33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4705 is divided by 276.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -5*p**3 + 3*p + 12. Let t(l) = 1 + l - 15*l**3 + 7*l**3 + 7*l**3. Let z(g) = -3*t(g) + w(g). Find the first derivative of z(o) wrt o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 14\/(-21)*(-2)\/8. Which is the third smallest value? (a) -2\/5 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1781?\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1829? (a) 1 (b) 1\/2 (c) -38 (d) -1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-42)\/28)\/((9\/9)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1102424 is divided by 339.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 73044547650495 - 3.\nAnswer: 73044547650492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -13*g**2 + 2*g + 10*g**2 - 1 - g**3 + 0*g. Let o(p) = -5*p + 2*p - 4 + p**2 - p. Let u be o(4). What is h(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (0\/(-2))\/(-3 + 2). Suppose b - 3*d - 13 = y, -3*b = d - 4*d - 39. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1835954596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2938.1 + -2938. Let q = -1.2 + 6.2. Let t = -5.1 + q. Which is the nearest to i? (a) -3\/2 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dbhvbip. Give prob of picking 1 b, 1 p, 1 i, and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/((-72)\/8*(-18)\/162)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 122 - 23. What is the remainder when k is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 12.112 + -12. Let q = 0.1119927 - h. What is q rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -54, -228, -518, -924, -1446?\nAnswer: -2084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -36*k**4 + 4*k**2 + 58*k**4 - 5*k - 2 - 34*k**4 + 2*k**3 in the form l + y*k**3 + c*k + q*k**2 + w*k**4 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-15)\/2*(-24)\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the second derivative of x**3\/6 - 69*x. Let z(q) = 4*q**2 - 2*q - 1. Calculate -2*b(u) - z(u).\nAnswer: -4*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 481121 (base 11) to base 16\nAnswer: ba3b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -2\/336707?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) be the third derivative of -i**6\/120 - i**5\/12 - i**4\/6 + i**3\/3 - 5*i**2. Is f(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 178.98 + -179. What is the nearest to 3 in 0, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 36 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -o**4 - 10*o**3 - 32*o**2 - 32*o = 0 for o.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/168 and -119\/315036.\nAnswer: 4410504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 223610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 8508 by 4.\nAnswer: 2127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:36 AM and 9:57 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/(-8))\/(23\/(46\/12)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(252) - (sqrt(252) - -2*(sqrt(252) - (sqrt(252) + -2))))*1 - (-5*(sqrt(175)*-3)**2 + 0)) + 1.\nAnswer: 7872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -44135, -44138, -44141, -44144, -44147?\nAnswer: -44150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 4*c + 4. Let d be h(9). Suppose 2*q - 125 = 7*q. Let x = d + q. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(68) + -5 + (sqrt(68) + -2 - sqrt(68))**2)*-5.\nAnswer: -10 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 30 - (7 + -15 - (2 - 30))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.06 + -490\nAnswer: -490.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 9223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Total of -39 and -173202734.117.\nAnswer: -173202773.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the first derivative of -h**3\/3 + 2*h**2 - 6*h - 3. Let c be r(4). Let u be (-1)\/(-2) - 45\/c. Which is greater: 9 or u?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 20\/(-8) - (184678\/(-17588) + 8). Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: What is -89.815351659 + 31?\nAnswer: -58.815351659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-30)\/(-20)*4\/3. Solve l*r = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(112) - 1*sqrt(63) - (sqrt(7)*1*-3 + -5*(sqrt(7) + 1) + sqrt(7))**2.\nAnswer: -371 - 69*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-2\/3))**26*(g*g**(-3)*g)\/g*(g*g**(4\/7))\/g assuming g is positive.\nAnswer: g**(-394\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -4 - w + 4 + 2 + 7. Let s be b(6). Suppose l + 4*l = -s*n + 34, 2*l + 36 = 5*n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*u**4 + 11*u**4 + 407*u**2 - 407*u**2 + 2 + 42*u**4 - 28*u**3 to j + q*u**4 + o*u**3 + t*u + c*u**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-324)\/432)\/(114\/16 - 3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -a32b + 0?\nAnswer: -a32b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6886215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 191, 2 in increasing order.\nAnswer: 2, 4, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3342880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the second derivative of -57*f**6\/5 + f**4\/3 + 989*f**3\/6 - 3031*f. What is the third derivative of n(j) wrt j?\nAnswer: -8208*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4771254367.\nAnswer: 11, 1997, 217201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1.1499 take away 1.43161?\nAnswer: -2.58151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3 + -1 + 0\/1 + 0. Suppose 3*h - 5 = -2*j, -f*j + 4*h + 7 = -5. Suppose 0 = -y + 19 - j. What is the greatest common factor of 75 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**2 - 2*m + 3. Let h be g(-3). Suppose 3*p + 2*p - 10 = h. Suppose -b + 0*b + 2 = -5*c, 4*b + p*c - 52 = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-5)\/(20\/(-8))*1. Let y = -6 + o. Is 0 + y + 90 + 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:29 PM and 12:00 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 36, 30, 1\/2.\nAnswer: 1\/2, 30, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 2*c**2 + 5*c - 3. Suppose -1343 = -166*w + 2641. Calculate the lowest common multiple of w and x(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -11*2*4\/(-8). Let w = -8 + a. Factor -4*m**4 + 2*m**3 + 10*m**w - 8*m**3.\nAnswer: -4*m**3*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-489)\/815 + 1 + 58\/(-120).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 160 minutes before 8:53 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = -122\/3 + 40. Let g be (-3)\/5*(-5)\/1. Let c be (6\/126)\/(2\/6). Sort a, c, g in increasing order.\nAnswer: a, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -31.5 - -32. Let w = -617 - -615. Which is the biggest value? (a) g (b) -0.3 (c) 10 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 91 in 1\/4, -0.02, 4, -1\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -8*j**2 - 8*j**2 - 30*j**2 as o + p*j**2 + z*j and give p.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 7236750 divided by -750?\nAnswer: -9649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 672 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*m - 2*a - 1370 - 102, -879 = -3*m - 3*a. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 30.6, 5, 2, 0.3 in descending order.\nAnswer: 30.6, 5, 2, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 73*w**2 - 2*w - 2. Let m be k(-1). Suppose -9*h + 10 = m. Do h and -7 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 146 = 3*v + 51, -5*v = 3*w - 173. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -30, -38, -36, -18, 22, 90?\n\"Answer: j**3 - j**2 - 12*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1092432 divided by 273108.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iwwnevwniwwnw. What is prob of sequence enn?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 63400015 = -m, -2*v - 79663900 - 110536110 = 3*m. Round m to the nearest 1000000.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 7*s**2*t - 7376*s**2 + 12*s*t + 5*t - 1 with respect to t.\nAnswer: 7*s**2 + 12*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1769 - -3443. What are the prime factors of v?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = -2*u - 320, 485 + 119 = -4*u + n. Let y = u - -1213\/8. What is the biggest value in 0.1, 0, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1816436 divided by 6?\nAnswer: 908218\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 140 divided by 6\nAnswer: 70\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the first derivative of 1089*x**4\/32 - 517*x**3\/12 + 20*x**2 - 4*x + 29. Suppose g(f) = 0. Calculate f.\nAnswer: 2\/9, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -59466117\/5 or -11893223?\nAnswer: -59466117\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v + 3*v - 32. Suppose q = -4*j + 115, 0 = -q - 5 - 0. What is the remainder when j is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 328*h + 99 - 299 = 378*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 52\/3 and -43\/123503832.\nAnswer: 123503832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3\/438981902 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2318 and 608.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -58 - 285*j**2 - j**3 + 158*j**2 + 127*j**2.\nAnswer: -j**3 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Are 122 and 127 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -986633*l**3 + 2614344*l**2?\nAnswer: -5919798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-77)\/(-756)*9 + (-3)\/(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -238 divided by -1.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:08 AM and 11:52 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -321*i**3 - 2275 + 4560 - 2285.\nAnswer: -321*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*o**2\/5 - 62*o\/5 - 3132\/5.\nAnswer: 2*(o - 58)*(o + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/6*-3 - (-58)\/4. Suppose -140 = j*c - 20*c. Suppose -3*q = -h + 16, q = 5*h - q - c. Solve -12 = -3*k - 3*f, -3*f + h*f = -4*k + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 740 + 2421 = 2*w, -i + 6343 = 4*w. What is the highest common divisor of 54 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3606486 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-5 + (-271)\/(-36))*(-4)\/(-14). Let j = 2\/9 - x. Let k = 128 + -637\/5. Put k, -1\/4, j in decreasing order.\nAnswer: k, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4.974 + -24023272079.\nAnswer: -24023272074.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(2176) + sqrt(34)))\/(-3*sqrt(242)).\nAnswer: 12*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 4*2*(sqrt(208) + (sqrt(208) - (sqrt(208) + 1))*2 - (((sqrt(208) - -1*sqrt(208))*3)**2 + sqrt(208))).\nAnswer: -59922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -38740*n**3 - 111530.\nAnswer: -116220*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 2*x - 9. Let b be r(7). Suppose -3*j - 35 = -4*u, j + 49 = b*u - j. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a**3 - 10*a**2 - 4*a + 11. Suppose -2*r - 16 = 2*u, 5*u = -0*r + 2*r - 47. Let m be i(u). Let o = 69 + m. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 836472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x**3 + 6*x**2 - 2*x - 7. Let w be k(-6). Suppose w*z + 5 = 25. Let y(m) = -15*m - 90. Calculate the remainder when y(-7) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 145 + -139.98. Let u = 1.02 - t. Which is the second biggest value? (a) 0 (b) -1\/3 (c) u (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 386 is divided by 117.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 9114427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2352 and 3174416.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 201 a factor of 637555317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-13)*f**(3\/11)*(f*f\/(f*f**(-10)*f))\/((f\/(f\/(f*f\/f**(4\/7)*f*f)))\/f) assuming f is positive.\nAnswer: f**(-397\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = -m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 252*m**2 - 269*m**2 + 200*m**2 as d*m**2 + h*m + v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 121*y**2 - 49*y**2 - 71*y**2 + 3 - 7*y**3 to the form w*y + z*y**2 + d + f*y**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be -12*1 - (91884018 - 17 - 13). Round a to the nearest 1000000.\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6500308 and 2664.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 127*m**2 + 2 - 253*m**2 + 127*m**2 + 3 - 6*m**4 to the form u*m**2 + r*m**4 + b + x*m**3 + v*m and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.7850544 * 6.\nAnswer: -4.7103264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from heplj. What is prob of picking 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 326*i = 328*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2784\/(-10208) - (-2)\/((-44)\/302)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -221 + 213.84. Round q to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -4*i + 11. Let w(f) = -f + 2. Let v(n) = -2*g(n) + 11*w(n). Calculate v(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -1.02 (b) 5 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/6)\/(2\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(1300)*1 - sqrt(1300)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -3*c - 11. Give r(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -16 + -23 + 30 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -112.6*-0.06.\nAnswer: 6.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3186 + 3186. Which is the fourth smallest value? (a) -3\/8 (b) -0.015 (c) q (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 2 a when three letters picked without replacement from {u: 2, g: 1, f: 1, h: 2, a: 1, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 27836154 to the power of 1\/2, to the nearest integer?\nAnswer: 5276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01603658149 rounded to 6 dps?\nAnswer: 0.016037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -3 + -2 + -3 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*t - 31*t + 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 21114 and 595170?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/6678 and 34\/21.\nAnswer: 6678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {c: 9, b: 5}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -300 - 11*r - 97 + 10*r.\nAnswer: -r - 397","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 15 and 4375.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_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: Suppose 4*c + 14 - 2 = 4*a, 3*a - 9 = -3*c. Suppose 3*v + 0*v - 2*p - 8 = 0, -2*v + 3*p + 12 = c. Let x be v*(-3 - 15\/(-6)). Is x at least as big as -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the first derivative of 4\/11*t + 2\/11*t**3 - 5\/11*t**2 - 1. Factor l(g).\nAnswer: 2*(g - 1)*(3*g - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4.19 + -1.19. Let o(k) = k**2 - 9*k - 5. Let v be o(7). Which is the smallest value? (a) v (b) 0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v\/v**(-5)*v*v)\/(v*v**(-3\/7)\/v))\/(v\/(v**(-1)*v))**(-3) assuming v is positive.\nAnswer: v**(87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1123 = -4*j + 3*d, -1141 = -j - 3*j - 3*d. Let n = j - 1977\/7. Which is the third biggest value? (a) 3 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 0 + 7*n**2 + 0*n + 2*n**3 + 8 - 2*n - 3*n**3. Suppose 9 = 5*b - 26. Give u(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 10277.7 years?\nAnswer: 123332.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -10*x**2 - x**2 - x**2. Let v(g) = -3*g - 60. Let j(h) = 4*h + 75. Let q(u) = -4*j(u) - 5*v(u). Calculate r(q(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 1, -5, 0.3, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 10 = -8*x. Suppose 0 = x*v - 3*v - 5. Let b(u) = u**2 + 4*u. Let f be b(v). Solve f*k + 3*q + 18 = 0, 5*k + 12 = 2*q + q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 10 + 30. Suppose -6*j - g = -274. Suppose -37*f + 8 = -j*f. What is the closest to -0.1 in 1, f, -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3.2389 rounded to one dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10776*y**2 - 5376*y**2 - 5398*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(81) + ((sqrt(81) - -6*sqrt(81))*-3 - sqrt(81)))\/(sqrt(108) + 3*sqrt(108) - sqrt(27)*3).\nAnswer: -21*sqrt(3)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the first derivative of -24*t**2 - 2*t + 14. Calculate the lowest common multiple of 6 and r(-1).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-6)\/(-16))\/((-18)\/(-8)). Let v = 396 - 394. Let i be (-2 - v)*((-165)\/(-28) - 6). Which is the fourth smallest value? (a) k (b) 2\/7 (c) i (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 64400 and 1960?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -4, -6, 9, -1 in descending order.\nAnswer: 9, 0, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 37 - 33. Suppose -h + 163588673 = c*s, 2*s - 81794350 = -3*h + 7*h. Suppose -11*t - 149402831 = s. Round t to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 139 = 2*v + 143 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*f + 10, 3*c - 1315*f + 1317*f - 5 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**3 - 2*l**2 + 34. Let i(t) = 2*t + 27. Let d be i(-15). Let x(f) = -4*f + 6. What is the remainder when h(0) is divided by x(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -h**3 - 5*h**2 - 5*h. Let u be r(-4). Let x be (-1)\/(-2) + 10\/u. Suppose x*f + 2*w - 59 - 17 = 0, f - 40 = 3*w. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/(2 + -2 + (-1)\/(-11)). Let p(c) = -c**3 + 12*c**2 + 8*c - 25. Does 25 divide p(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) be the first derivative of -47*j**6\/6 - j**5\/5 + 8*j**3 + 111. Find the third derivative of u(v) wrt v.\nAnswer: -2820*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/(-3))\/((-2)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16 - (9 - 6) - (0 - -2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001834139908 rounded to seven dps?\nAnswer: -0.0001834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (2\/6)\/(1\/(-27)*3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, l: 4, v: 8, t: 4, k: 2}. What is prob of picking 1 l and 1 k?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 8*p - 590941 + 591661 for p.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -55983, -56291, -56585, -56859, -57107?\n\"Answer: b**3 + b**2 - 318*b - 55667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 + 2398?\nAnswer: 2401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.15373 times 30.4?\nAnswer: -4.673392","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2736) + 1 + -2)**2 + (sqrt(2736) + 1)*5)*-2 + 3.\nAnswer: -5481 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4 (b) -1\/7 (c) 1\/151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add together 434321 and -15185.\nAnswer: 419136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 71626767, 71626782, 71626797, 71626812, 71626827?\nAnswer: 71626842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*f - 2*f**4 - 7*f + (2*f**2 + 0*f**2 - f**2)*(-f**2 + 3*f**2 + 0*f**2) + 3*f**4 - f**4 + 0*f**4 + 69*f**4 - 54*f**4 + 223*f**4.\nAnswer: 240*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 492 bigger than 496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 97 minutes after 12:24 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 113709973 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 2*o**3 + 17*o**2 + 17. Suppose -3*g - 3*t - 33 = 0, -4*g - t = -3*t + 14. Let k(r) = -r**3 - 6*r**2 - 6. Determine g*n(w) - 17*k(w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 81 a factor of 1666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 226 = 4*q - 2*v, -2*v - 88 - 22 = -2*q. Suppose q*t - 2*c - 2910 = 54*t, -2*t - 4*c = -1440. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bhbhdvvvhy. Give prob of sequence vyd.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -5667963 by -3.\nAnswer: 1889321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -2319630 by -4.\nAnswer: 1159815\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 4\/5 (b) -2\/13 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -96 - -92. Suppose -7 = -2*f - 3. Which is the third biggest value? (a) h (b) f (c) 1\/3 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 13031 + -8333. Find the third derivative of 37*a**5 - 4778*a**2 + t*a**2 - a**6 + 31*a**5 - 2*a wrt a.\nAnswer: -120*a**3 + 4080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4 + 361?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 265684*y**3 - 132772*y**3 - 132753*y**3.\nAnswer: 159*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**3 + 44*l**2 - 417*l + 598. Determine f(-52).\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l**2 - 8*l - 3. Let d be -2 + 6\/(3\/(-1)). Let x be j(d). What is the highest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m + 13. Let u be b(-9). Suppose 2*s = 3*w + 5 + 8, 2 = u*s + 2*w. Suppose -30 = -3*y - 3*r, -3*y - s*r + 51 = -6*r. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (18\/(-15))\/(4\/10). Sort 1, r, 11 in ascending order.\nAnswer: r, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-1*(1*(sqrt(13) + 2 + sqrt(13)) - (-3*sqrt(65) - sqrt(65))\/sqrt(5))*2)**2.\nAnswer: 96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -76362 * 0.1.\nAnswer: -7636.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -163041 - -163152. Suppose 0*d - 4*d = -52. What is the remainder when u is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7 + 117. Let l be 134404\/30 - (-4 - b\/(-30)). Round l to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 348*p + 2084. Determine m(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 6 - (6 + -2 - (5 + -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k - 862*h + 859*h = -36, -4*k - 2*h = 42 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes before 12:02 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = -128 + 132. Suppose u + 24 = -7*h. Let x(p) = 4*p**3 + 5*p**2 + 7*p + 1. Let n(a) = -a**3 - a + 1. Let v(z) = 3*n(z) + x(z). What is v(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 242 and 418.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 217 divided by 131959.\nAnswer: 217\/131959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -29*g**2 - 2*g - 4. Let l be i(-2). Let v = -98 - l. Solve -4*s + v = 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.05523*4134.\nAnswer: 228.32082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 7\/8 of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(-4)*(-56)\/14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -212 - 245*u + 212.\nAnswer: -245*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -894 divided by 2\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 14, 49, 126, 257, 454, 729, 1094?\n\"Answer: 2*j**3 + 9*j**2 - 6*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -1. Let a(i) = i - 1. Let t be a(2). Let f be (-3*t)\/((-9)\/6). Let r(o) = o**2. Let q(v) = v + 3. Let g be q(-4). What is f*k(d) + g*r(d)?\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 32\/734889 and 20\/87.\nAnswer: 734889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 53726634 a multiple of 3668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 53091 is divided by 237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q + 12*a = -8, 2*a - 18 = -5373*q + 5377*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10 and 1167410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3833595, 15334376, 34502347, 61337508, 95839859, 138009400?\nAnswer: 187846131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 392137409?\nAnswer: 19, 20638811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does -5 = 161148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 169382.\nAnswer: 2, 84691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -2 times 780053\nAnswer: -1560106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 474815914?\nAnswer: 2, 317, 748921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 19860245*x**3 - 139001785*x**2 - 139505*x - 35.\nAnswer: 5*(x - 7)*(1993*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**1)**(-11)\/(x**0*x)**(-21\/4)*((x**(-3)*x)**(-1))**(-3\/5) assuming x is positive.\nAnswer: x**(-139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 4, -4, 44, 77, 7 in ascending order.\nAnswer: -4, 4, 5, 7, 44, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 359, 266, 169, 68, -37, -146?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -93965780 divided by 18793156\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 185*f*w + 1110*f wrt w.\nAnswer: 185*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o be 769\/(-2 - (-5)\/2). Suppose 9*n - 10*n = -o. Let k = 3318 - n. Round k to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4\/3 in -6.11, -4, 9, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11000 = -2*d - k, -4*d + 13135 = 3*k - 8863. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + 11 - (0 + 0) - (-32 + 35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 9, s: 11}. Give prob of picking 1 f and 1 s.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = -2*d + 8547, -21*s + 18*s = d - 4274. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/45*5)\/((-16)\/144)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4462*l = -4470*l + 6717352. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7576184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -18\/11, 3\/2, 9, -6\/17, 13, 0.3 in descending order.\nAnswer: 13, 9, 3\/2, 0.3, -6\/17, -18\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 81\/355 - 2\/71. Let g be 0\/(3\/(-3)*-2). Let s be 1\/(-4*1) + g. Which is the closest to s? (a) -2\/7 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*(-1)\/2*-1*(28 - -4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 39 - 15. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 82 divide 24020014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -120*d + 2346 = -2*d - 14 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sfts when four letters picked without replacement from tssbbbtbfstbb?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2016369, -4032298, -6048227, -8064156, -10080085, -12096014?\nAnswer: -14111943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 345 minutes before 12:18 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5 + -3. Suppose 3 = -b + 2*b. Factor 2*x**2 - l - b*x + 3*x.\nAnswer: 2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -m**3 + 5*m**2 + 4*m - 6. What are the prime factors of u(4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -h - 4*h - 6*h + (0 - 4 + 3)*(2*h + 0 + 0).\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31181210594109 + -40.\nAnswer: 31181210594069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 731466 and 1818.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 244 - 247 = -h, 122 = 4*n + 2*h. Solve n*v - 96 = 45*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*c**2 + 261528*c - 4104540 = 0. What is c?\nAnswer: 110\/7, 12438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve u - 4*j + 13 = 0, 7*u - 5*j = u - 21 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 84 + -79. Solve -n = 2*o - o - 2, -o - 28 = -v*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 11\/2214 and 9\/2.\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 16*j + 18. Let q(d) = 48*d + 55. Let c(t) = -6*q(t) + 17*z(t). Let k be c(-3). Calculate the greatest common divisor of k and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o + 2*i = -34, -2*o + 18*i - 32 = 19*i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w - 5*x + 28, x = -w - 0*x + 8. Which is bigger: -0.5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -17 + 21. What is the tens digit of (-17)\/((-57)\/(-15) - j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -88, 0, -0.1, 3\/7, 75, -1.\nAnswer: -88, -1, -0.1, 0, 3\/7, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = -52\/3 + 17. Which is the biggest value? (a) -1 (b) w (c) -4.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 6, -10, -50, -126, -250, -434?\n\"Answer: -2*y**3 - 2*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*h - 4*h**2 + 0*h + 5*h**2 - h.\nAnswer: h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 45 = -35. Calculate the least common multiple of g and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 94 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1590652*b + 1590656*b - 108 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o**2 - 3*o**2 - 2 + 1)*(128 - 128 + 77*o)*(4*o**2 - 2*o**2 + 0*o**2).\nAnswer: -154*o**5 - 154*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve u = 3*b - 24, -3*b = -b + 69832*u - 69837*u - 68 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1292.06 + 1294. Let x = o + 1.06. Let r be ((-2)\/(-10))\/(8\/5). Which is the third smallest value? (a) x (b) r (c) 6 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 801\/7 - 114. Let n(x) = x**2 + 6*x + 4. Let c be n(-5). Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/((-945)\/7)*-6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -67\/4340 and -143\/74214.\nAnswer: 742140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -100*t**2 - 627*t**2 - 2221*t**2 + 261*t**2.\nAnswer: -2687*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*f*t**2 - 879*f*t + 14185474*f + 24*t**2 - 118*t wrt t?\nAnswer: -4*f*t - 879*f + 48*t - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (1 - 2)*32\/56\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 + -3. What is the remainder when ((-3)\/6)\/(l\/(-40)) is divided by 1 - (4 + 0) - -14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 r and 1 o when four letters picked without replacement from {r: 18, o: 1}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 2*o - 4 + 0 - 50*o**2 - 29*o**2.\nAnswer: -79*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(121)*6)\/(sqrt(99)*-1 + sqrt(99) - sqrt(99)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 140 = 9*x - 4*x. Let b(u) = -u**3 - u**2 - u + 70. Let r be b(0). Calculate the greatest common divisor of r and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-30)\/(-10) + -10 + 3 + 0\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 16783 + -8823. Is c a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 9, 3, 105 in descending order.\nAnswer: 105, 9, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 216451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1001 is divided by 332.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*i - u + 5, -1289*i - u - 1 = -1286*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 45, 179, 405, 723, 1133, 1635?\nAnswer: 2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 9 (base 14) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**6*c)\/(c**2*c))\/(((c**(-1)*c)\/c)\/(c*c**(-3)))*(((c*c\/(c*c\/c**6*c))\/c)\/(c*c*c*c**(2\/7)))**(-40) assuming c is positive.\nAnswer: c**(-172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify d*d**(-9\/2)*d*d**(2\/3)\/d*d**12\/(d**(-7)\/d) assuming d is positive.\nAnswer: d**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*s - 2*s + 6*s)*(-3*s - s + 3*s) + 10*s**2 + 86*s**2 - 10*s**2.\nAnswer: 85*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*w - 2*v + 8 = 0, 2*v = 2*w - v - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*g**3 + 2*g - 2*g + 4*g**3 + 9*g**3 - 6*g**3 + (-2 + 4 + 0)*(11 - 30 - 20)*(2*g**3 + 0*g**3 - g**3).\nAnswer: -73*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4.28651 + 0.28651. Which is the nearest to 83? (a) u (b) -16 (c) -2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 2*j + 1. Let q be (j\/20)\/((-20)\/(-750))*-28. Let v = -66 + q. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 2*f + 6. Let w(l) = -3*l - 7. Give 4*b(i) + 5*w(i).\nAnswer: -7*i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let 16*s**3 + 116*s**2 - 260*s - 72 = 0. Calculate s.\nAnswer: -9, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**2 + 135*l + 889. Let q be p(-7). Sort q, 5, -3, 3 in descending order.\nAnswer: 5, 3, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*s - 3*s + 24. Solve 2 = f, 5*x - 5*f = -s*f - 27 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/w**(-9\/2)*w*w*w\/(w*w**(-1\/10)))\/(w**10\/((w\/(w\/((w\/(w**(-10)*w)*w)\/w)))\/w)))**(1\/2) assuming w is positive.\nAnswer: w**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.1 times 115\nAnswer: 11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -2\/5, -1, -3.9, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n**3 - 1510*n**2 + 3035*n - 1520 = 0 for n.\nAnswer: -304, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be 345\/(-6900) - 2\/(-40). Factor -6\/7*r**2 + g - 2\/7*r.\nAnswer: -2*r*(3*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = 12 + 48. Let f be (4\/3)\/((-1)\/(-3)). Suppose -i = f*i - 10. Solve i*u = -3*u + q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4236 (base 7) in base 2?\nAnswer: 10111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -244 = -3*p - 694. Let x = p - -154. Solve -4 = 4*d + x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve t = 3*r + 14, 2*t = -5*r + 3*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 1 + (((sqrt(200)\/sqrt(10))\/sqrt(10) + sqrt(2))**2 - (sqrt(16)\/(sqrt(968) - sqrt(8)) + sqrt(2))).\nAnswer: -11*sqrt(2)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -54939 - -2.0786.\nAnswer: -54936.9214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*l + 22*l + 17 = 3*u, -8*u - 2*l = 18 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = 9663 - 3279. Suppose -12*j + q - 168 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 26*q - 6 - 72 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 135*f**2 - 69*f**2 + 232*f**2 + 64*f**2 - 45*f**2.\nAnswer: 317*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -109\/1814720 and -59\/1814720.\nAnswer: 1814720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 140775368*y**3 + 121*y**2 + 412408 wrt y.\nAnswer: 844652208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -96 divided by 12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**3 + j + 19. Suppose 0 = 5*z + 3*b + 1831, 0 = 5*z - 0*b + 2*b + 1829. Let s = z + 365. What is y(s)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:13 AM and 4:55 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -dbd (base 15) to base 5.\nAnswer: -44403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, r: 2, i: 1, g: 4}. Give prob of sequence dr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*o + 19*o - 10 = a, o - 3 = 0. Put -14, a, 5, 4 in ascending order.\nAnswer: -14, a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wfwyrf. Give prob of picking 1 f and 1 r.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -20, 2 in ascending order.\nAnswer: -20, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - n**2 - n**2 - 2*n**4 + 2*n**4 + 4*n**4 in the form o*n**4 + f*n + x + p*n**2 + z*n**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 197 divide 67522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.045 (b) -1428 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 119 is divided by 38.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 477 bigger than 477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2 and 2779492?\nAnswer: 5558984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -22108, -44301, -66494, -88687?\nAnswer: -110880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -d - y = -20, -5*d - y + 162 = 130 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 52.8 - 53. What is the closest to -0.1 in 5, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the second derivative of -l**3\/3 - 6*l**2 + 2*l. Let r be d(-8). Is (-8)\/(-2)*15\/r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -18461, -73891, -166285, -295649, -461989, -665311?\nAnswer: -905621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 13831, 27662, 41493, 55324, 69155, 82986?\nAnswer: 96817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - p = 4, -2*m - 2*p = -m - 13. Suppose -142 = -4*i + m*v, -27 = -i - v + 6*v. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -20 + 39. Let b be (3 - 1 - 3) + c. Suppose r + 9 = -3*g + 22, -2*g = 3*r - b. Solve -t = k - 7, 3 = r*k + 2*t - 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -3731*b**2 - 3*b - 2. Let y be o(-1). Let m be (-3)\/5 + y\/(-50). Let w = -54 + m. What is the remainder when 71 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 divided by -12.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -21414109\/9 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m - 14 + 4. Suppose -140 = -0*w - m*w. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, 2.622, 18.62?\nAnswer: 18.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 59 - 56. Solve 2*u = x - 0*x + 9, -i*u + 21 = -3*x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-472)\/(-12))\/(8\/60). Suppose y + 5*r - 50 = 0, -2*y - r = 2*y - g. Let x be 122\/4 + 5\/(-10). What is the highest common divisor of x and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 864312.5ml to litres.\nAnswer: 864.3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*b - 4 = 7*b + 5*o, -2*b - 2*o = 10. Put -2, 11, b, 5 in descending order.\nAnswer: 11, 5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*v + 117 + 51. Let p be (2\/12)\/(v\/32). What is the closest to -0.1 in p, -3\/7, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48645 is divided by 139?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -28.63, -15\/7, -5 in decreasing order.\nAnswer: -15\/7, -5, -28.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-31)\/186*(-16)\/2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 4 = 1, -5*c + 44 = r. Solve -2*f + f - 1 = o, -f + r = -4*o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -40\/143 and -15\/143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -472 (base 12) to base 9\nAnswer: -815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*f**3 - f**3 - f**3)*(-24 + 19 - 110).\nAnswer: -230*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 302.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 152294, 152293, 152292, 152291, 152290, 152289?\nAnswer: 152288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 52397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -4c (base 13) to base 10.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -3*v**2 - 26*v + 10. What is the remainder when r(-7) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1, -0.2, 2, 3\/37?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7109 - -7512. What is the remainder when a is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 2*n**3 + 3*n**2 - 3*n + 1. Let j = 51 - 53. Let u be (1\/(-2*(-1)\/j))\/(-1). Let f be d(u). Calculate the greatest common factor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*z + 1430 = -3*z. Suppose 0*l - 2*l = -z. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 57\/5 of a tonne in kilograms?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*t + 4*t + t - 15*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/(-12) + (-10)\/(-24). Suppose 0 = 3*d - 9, -d - 4*d + 10 = -r. What is the biggest value in -2\/9, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 3*r = -2, -3*a = 2*a + 2*r - 27. Let j = a - 3. Suppose 102 = j*u - 2. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 4, -3.5, 0.1, -177, 20 in descending order.\nAnswer: 20, 4, 2, 0.1, -3.5, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = v**2 - 2*v + 2. Let n(l) = -5*l - 5. Let i be n(4). Let r = i + 22. What is the remainder when 67 is divided by s(r)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7073795 to the nearest integer?\nAnswer: 2660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 4*y + 22 = 0, 5*y = -3*v - 11 - 9. Let t = 14 + v. Suppose -b = -6 - t. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 = -5*l - 5*t, 4*l + 0 - 3 = t. Let h(q) = -7*q + 17. Let n be h(5). Let z = n - -22. Solve 5*r - z = d - 3*d, l*d - 4 = -r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52374297 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = 926 + -890. Find w such that -14*w - 2 - 10 + 24*w**2 - 73*w**4 - 6*w**5 + 77*w**4 + u*w**3 = 0.\nAnswer: -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*o + 1543737 = 6*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -50 divided by -5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -17 + 7 + -6 + 12 - (-2 - (3 - 10))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**2 - 73*r + 877. Calculate the remainder when 182 is divided by f(58).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = 5*s + 4*k, -10 + 1 = -3*k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(3600)*-2 + sqrt(3600) - sqrt(3600))\/(sqrt(5) + sqrt(45)\/(sqrt(18)\/sqrt(2)) + (sqrt(80)\/sqrt(2))\/sqrt(8)).\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 95, 84, 73?\n\"Answer: -11*b + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 + 119)\/((-2)\/2). Let z = -16 - c. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 13*h**2 - 9*h**2 + 4*h**2 + (-1 + 1 - 2)*(3 - 28 - 24)*(4*h + h**2 - 4*h) in the form y + w*h**2 + o*h and give w.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -8*z + 41. Let v(g) = 3*g - 14. Let q(w) = 4*d(w) + 11*v(w). Let n be q(-6). Solve 7*t + 4*b - 12 = 4*t, t - n = -5*b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-1)*b)\/b*b**1*(b**0)**10)**4 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l + 9. Let n be y(-5). Suppose -m = -n*m + 6. Let q(c) = 2*c - 83*c**2 + 171*c**2 - 3 - 90*c**2. Determine q(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 6 = -4*f, r + 1 = -2*f - 2*f. Let m be (-1 - 163)\/(14\/(-28)). Let h be m\/104 - (1 - -2). Is h at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*c**4 - 5*c**4 + 13*c**5 + 4*c**5 - 2*c**3 + 2*c**3 + (-c**2 + c**2 + 2*c**4)*(4*c - 3*c + c).\nAnswer: 21*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 91 and 533.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ddyyddddyyyzad. Give prob of sequence dyda.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -20 + 3201.19310813\nAnswer: 3181.19310813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 2*u**3 + 2*u**2. Let b(a) = -2*a**3 - a**2. Suppose 606 + 444 = 15*g. Suppose -122 = -32*m + g. Give m*j(l) + 7*b(l).\nAnswer: -2*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 35 + -65. Let f = c + 27. Do 3 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -19*r**2*v**2 + 2*r**2 + 2*v**2 + 108*v wrt v.\nAnswer: -38*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -217.677495 rounded to zero dps?\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3825354894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express ((0 + 1 - 2)*(2*t - 2 + 2) + t + t - t)*(3 - 4 + 5) in the form c*t + k and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 120 minutes after 11:02 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = 3*p + 10, -5*p + 0*p + 3*v = -6. Let l be (-12)\/(-2) - (-41 - -44)\/1. Solve p = -g - l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**3\/4 + 7855*q**2\/4 - 11743*q\/2 - 137410.\nAnswer: -(q - 7852)*(q - 10)*(q + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4066323.\nAnswer: 3, 19, 71339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - 3\/2)*(3 + -15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:09 AM and 12:37 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 38, 2, -5605.\nAnswer: -5605, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 999 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23268*h**2 - 16321*h**2 + 39596*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 9, -3, -88, 4 in decreasing order.\nAnswer: 9, 4, 1, -3, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0020417136 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 4510 greater than or equal to 13529\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**3 - 4*p**2 - 7*p + 16. What are the prime factors of a(7)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16830?\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 6*p**2 + 907. Let w(z) = -1778*z. Calculate d(w(l)).\nAnswer: 18967704*l**2 + 907","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-33)\/(-2 - 1) - 0) + -2. Suppose u*k = -3*b + 4*k + 35, b = 2*k + 19. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 3*n = -2*n - 47, -5*g + 3*n - 50 = 0. Which is greater: g or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-d + 7*d + 0*d)*(3*d - 3*d**3 - 3*d)*(3 - 5 + 13) to m*d**4 + b*d**2 + l*d + y + g*d**3 and give m.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1\/2)\/(2\/52). Let j = 21 + -17. Suppose 0 = -t - j + h. Calculate the lowest common multiple of 10 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 164040 is divided by 378.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes after 2:07 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9 - 6. Solve 3 = -3*c, y*x = x + 5*c + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x - c = 42, 0 = -4*x - 6294*c + 6289*c - 123 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s**2\/2 - 8509331*s\/2 - 4254665 = 0. Calculate s.\nAnswer: -8509330, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 5487*o - 10972. Give t(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9855684687?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/10*300\/(-120).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -838753, -838749, -838735, -838705, -838653, -838573, -838459?\nAnswer: -838305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -98\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of 16959 and 1.36.\nAnswer: 23064.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 10888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3233 and 148413?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2 - -9*(3 + -2). Suppose -12*p = -z*p - 3. Solve 0 = -5*r + 3*q + 40, p*r = -2*r - 5*q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-2\/13)*j\/(j*j**(-17)))\/(j**(-1\/3))**(-11\/5))**(-1\/34) assuming j is positive.\nAnswer: j**(-1571\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the second derivative of -n**6\/75 - 428*n**5\/25 - 91592*n**4\/15 - 2*n - 725. Factor r(s).\nAnswer: -2*s**2*(s + 428)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4243.\nAnswer: 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 6406492 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0 (b) 4 (c) 1\/18 (d) 34 (e) 3\/437 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 76565025 divided by 541?\nAnswer: 141525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.6? (a) 1\/9 (b) -9 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) be the third derivative of -b**4\/3 - 11*b**2. Let n(d) = d**2. Determine n(x(s)).\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a**5 - 1383*a**4 + 239430*a**3 - 18488550*a**2 + 542952375*a - 524701875 = 0. Calculate a.\nAnswer: 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the first derivative of 22*a**3\/3 - 4*a + 6. Find the first derivative of b(j) wrt j.\nAnswer: 44*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bxy when three letters picked without replacement from yddxbeydbdddbdyb?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bubwuuuuuuububuub. What is prob of sequence uu?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = 88 - 85. Let k(x) = x**3 - 15*x**2 + 32*x - 18. Let t be k(13). Let p = t + -55. Solve -p*i + 5 = -4*s, -3*s - o*i = -7*i + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9076*v - 9079*v - 93 = -17*k, -3*k + 15 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 46708127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**3 - 5*b**2 + 6*b - 6. Calculate z(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -816959, -3267673, -7352143, -13070369?\n\"Answer: -816878*l**2 - 80*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000832284482 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-12)\/3 + (-1477 - -1). What is s rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -a - 2. Let s be q(-3). Let k be 2 - (-39)\/((-3)\/s). Let j = k + 15. Solve -5 = 5*v + 2*g, 0*v - j*g - 3 = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 2, g: 2, e: 2}. What is prob of picking 2 f, 1 g, and 1 e?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -117 + 117.3. What is the smallest value in a, 1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -70667942 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1017\/1134 + 2\/(-7). Let l = y - -8\/9. What is the second biggest value in l, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -2*v**3 + 30*v**2 - 6*v - 74. What is c(15)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve w + 4 = 2*w + a, -87*w + 20 = -82*w - 4*a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 387.455 and 2.6213?\nAnswer: 384.8337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 35 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -5*p + 43. Determine x(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/h**(-2\/7))\/h*h)**(-5\/3)*(h*h**(-2\/5))**43 assuming h is positive.\nAnswer: h**(828\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4648 + 4647. Suppose 2*s + 47 = 27. Sort s, -3\/4, -1\/2, p in increasing order.\nAnswer: s, p, -3\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1096 + 532 = -148*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 96920250 and 84000?\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -g = -3*m + 12, 5*g - 38 = 4*m - 43 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 23 + (-6 + -4 - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 - 6. Let z = -4.000004 - k. What is z rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*d + 40 = 32*d. Suppose 0 = d*b - 8*b - 2904. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (51\/(-17))\/(-3 - 0). Suppose 4*r + 3*l = 180, r - 3*r + 108 = -3*l. Let c be 3 - (-45)\/r - 12\/3. What is the nearest to 1\/3 in c, m, -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -13.28 + 3.28. Let t = 10.79 - 1.19. Let s = t + m. Which is the third smallest value? (a) s (b) 2 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -27*d**3 + 11*d + 11. Let v(n) = -37*n + 196. Let w be v(5). Let l(a) = -9*a**3 + 4*a + 4. What is w*l(y) - 4*m(y)?\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 16.4 - -1146.7. Let j = 1437 - b. Let p = j + -311. What is p rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -44.5945 - -40.\nAnswer: -4.5945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -2*k - 95. Let s = -713 + 665. Let n be i(s). Are n and -217 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 66*k - 75*k + 387. What is the remainder when 125 is divided by k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10 + -6. Let d be r\/(-3) + 2 + -1. Let b = 212.3 + -212. What is the smallest value in d, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9293336?\nAnswer: 2, 13, 193, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 - -1. Suppose 2*p + 5*v - 75 = -2*p, b*v + 54 = 4*p. What is the remainder when (0 + -3)*(-175)\/p is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = s - q - 4, q + 2 = 0. Let l be 1\/(s\/4 - (-163)\/(-162)). Is 21 a factor of (2 + 1*-4)*l\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*n - n + 8*n)*(-14 - 2 + 38) - 3*n + 99 - 99.\nAnswer: 63*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 + 0. Suppose -2*w - 3*g = -96, 4*g = u*w - 0*g - 68. Let s(f) = -f**2 - 16*f - 21. Calculate the least common multiple of w and s(-13).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3319027 to the power of 1\/2, to the nearest integer?\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -11011 (base 2) to base 13\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y + 35. Let i be h(13). What is the common denominator of ((-33)\/i)\/(6\/17) and 93\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*i**3\/5 + 225*i**2 - 6831*i\/5 + 10287\/5.\nAnswer: 3*(i - 3)**2*(i + 381)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 350647*h**4 + 8*h**3 - 13516158*h wrt h?\nAnswer: 4207764*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from rrhhirefiehdfee.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -4*t**3 + 170*t**2 + 4*t - 8052. Let y(c) = 2*c**3 - 86*c**2 - c + 4025. Let n(m) = -2*k(m) - 5*y(m). Differentiate n(p) with respect to p.\nAnswer: -6*p**2 + 180*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 14*p + 45. What is w(12)?\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 2 > -76611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1 + -1 + -1 - -4. Let v = o + 0. Let u be (-2)\/4*(-8 + 4). Put u, v, -3 in ascending order.\nAnswer: -3, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6\/5839 or -1?\nAnswer: 6\/5839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -16411*x + 5. Let n be p(-4). Let u = n + -97549. What is u rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -139\/196836 and -1\/1152.\nAnswer: 18896256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes after 4:03 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -165 = 82*y - 77*y. Let f be (-3663)\/y + 1*-9. Suppose -u - 2*t + 54 = 2*t, 3*u = 5*t + 77. Calculate the greatest common divisor of f and u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*q**6 - 5*q**4 + 4431*q**3 + 6*q**2 - 2*q + 7158?\nAnswer: -360*q**3 - 120*q + 26586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0, 1, 2.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lwjl when four letters picked without replacement from wjlllwlwl.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = 3*x. Suppose x = a + 4*c - 7, -c - 4 = 5*a - 39. Let t(w) = 2*w**2 - 8*w - 10. Let z be t(a). What is the greatest common factor of 80 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) -4 (b) -1 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y**2 - 3 - y**2 + 3*y**2. Let r = 149 - 148. Let m = 5 - 8. Let c(s) = -1. What is m*c(o) + r*a(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 52 and 3302?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:48 AM and 3:16 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 498 is divided by 125?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-116)\/16)\/(-1*(-44)\/176)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 78 = -3*f. Suppose -3*p = n - 25, -12*p = -n - 14*p + 22. What is the remainder when f is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 575751113.\nAnswer: 7, 229, 359171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 12 (base 5) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 2*d**3 + 5*d**2 + 3*d - 1. Let f(g) = 5503*g**2 - 5497*g**2 + 1 + 4*g + 2*g**3 - 2. Determine -4*c(v) + 3*f(v).\nAnswer: -2*v**3 - 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.6 times 3634?\nAnswer: -2180.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -2*j - 19. Let w(g) = -73*g + 35*g + 37*g - 10. What is -3*m(q) + 5*w(q)?\nAnswer: q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (1 - -7) + (-284 - -278)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -102*w - 595840 = -172*w. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*k**3 - 53 - 5*k**3 - 5*k**3 + 3*k**3 + 5*k**3 in the form q*k**2 + g*k + y + v*k**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/((-66)\/10)*(-6)\/15?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 837, 45, 339 in decreasing order.\nAnswer: 837, 339, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c + 4*d - 223344, 5*c + 109*d - 111*d - 223308 = 0. What are the prime factors of c?\nAnswer: 2, 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5 + 4. Let s = a - 1. Let k = 7.01 - 7. What is the smallest value in s, k, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**(1\/3)\/l*l)**(-2\/3)\/((l\/(l\/(l**(-5)\/l)))\/(l*l**(-9))))**38 assuming l is positive.\nAnswer: l**(-988\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 718 a factor of 174598932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (3 - (-33)\/(-9))*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -91*g + 0*k - 5*k = -84*g + 24, 2*k + 2*k + k + 94 = -17*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -0*t - 3*t + 4*n, -n - 8 = -t. Suppose -2*s - 630 = -t*s. Let h be 316\/s - (-32)\/(-112). Which is greater: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -187495, -374923, -562339, -749743?\n\"Answer: 6*m**2 - 187446*m - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (160\/(-15))\/(66\/(-12870)*52)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r**2\/7 + 1480889*r\/7 + 296178\/7 = 0.\nAnswer: -1\/5, 296178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + i - 4*i = -18, -b + 5*i + 26 = 0. Let n be b\/4 + (-15999994)\/(-4). What is n rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/v**(2\/11))**15*((v**8\/v)\/v)\/(v**(-8)\/v)*(v**5*v**(2\/11))**(-3\/8) assuming v is positive.\nAnswer: v**(2229\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the first derivative of -l**3\/3 + 5*l**2\/2 - 2*l - 1. Let z be 3\/(-1)*6\/9. Let i be -4 - (3 - -13)\/z. Give p(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 624 in 2.4, -2.99, 2?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0\/((-40)\/((-100)\/(-10)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (190\/(-380))\/(-1 - (-11)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 119 is divided by 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 233.05 (b) -5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o = 3*n + 18797 - 18793, 4*o - 24*n + 128 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(704) - sqrt(704))*-5 + (sqrt(704) + -1 + -1)**2 + (0 + sqrt(704) + sqrt(704) + -2 - -4*(sqrt(704) + 0))**2*5.\nAnswer: -992*sqrt(11) + 127448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*s**2 - 5*s**2 - 2*s**2 + (1 + 2 - 2)*(5*s**2 - s**2 - 3*s**2) + 4*s**2 - s**2 - 6*s**2)*(-3 - 1 + 2)*(57 - 57 - 22*s).\nAnswer: -176*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5, 2, 15, 34, 59?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u + 11. Let t be w(-9). Suppose t*x = -2*x + 432. Suppose 39*p - 36*p - x = 0. Calculate the highest common divisor of 90 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 22*f**2 - 53*f + 47. Calculate s(5).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 455026?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -j**4 - j**4 + 4*j**4 + (j**4 - 3*j**4 + 0*j**4)*(2 + 2 - 1) - 4*j + 2*j**2 + 4*j + j**4.\nAnswer: -3*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4 + 19. Calculate the highest common divisor of 60 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 192 + -188. Solve 11*c + k = 15*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 69*n - 36*n - 46*n.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/((9\/(-21))\/3). Let q be (3\/5)\/(m\/5). Which is the nearest to 1? (a) -0.1 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.81329 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-166 - -461) + -172 + 1 + (-1 - 13)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g**3 + 24154*g**2 - 85721062*g + 73490091710 = 0. Calculate g.\nAnswer: 1255, 5411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (6\/(-48) - 83\/40).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 226 - -82. What is the greatest common divisor of r and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 1062*d + 8490. What is q(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2922939?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 123640 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 101*v - 55. Let z(u) = 2*u - 1. Let m(f) = 2*y(f) - 6*z(f). What is the first derivative of m(q) wrt q?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 1, 1\/1513, 0.5?\nAnswer: 1\/1513","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 0.734283 grams?\nAnswer: 734283000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*-4 + 310\/(-420)*-6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w**3 - 3*w**2 - 3*w - 3. Let g be u(-2). Let d = g + 4. Suppose -5*v + 3 = -7. Solve -d = m + v*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4280419 != 12841258\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z**3 + 9*z**2 + 2*z - 7. Is 7 a factor of t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -665207 (base 8) to base 9\nAnswer: -371084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -102 - -2?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 13*v + 14. Let g(o) = -30*o - 29. What is 3*g(y) + 5*x(y)?\nAnswer: -25*y - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 9*u - 2. Let b(x) be the first derivative of 1\/2*x**3 - 1 + 0*x**2 + 3\/10*x**5 - 3\/4*x**4 + u*x. Determine r so that b(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.521621 and 5570.\nAnswer: 5570.521621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g**3 + g**2 - g + 24. Let c be (2\/(-1) - -2)\/1. Calculate the remainder when n(c) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 35 + -35.1. Which is the closest to l? (a) 3\/5 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 7) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -29385952 - -38\nAnswer: -29385914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 122\/30521?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -32366*y + 25479*y = 323689 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1011 - 1073 - (-1 - -31)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 2*g**2 + 61*g + 46. Let s be c(-31). Let p = -29 - -40. Calculate the highest common divisor of s and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 88*z + 399 = 194*z - 87*z. Solve -3 - z = -12*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes before 1:37 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 132103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 97755 a multiple of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zaazaaaaza. What is prob of picking 4 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*s - 5713 - 1155 = 0. Suppose 0*f + 210 = -2*f. Let g = f + s. What are the prime factors of g?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -353791 + -207.193176?\nAnswer: -353998.193176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 4*w = 0. Suppose t + 1 = w, 4*t - t - 61 = -i. Let x = 5 - -3. Calculate the highest common divisor of x and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 137000922?\nAnswer: 2, 3, 22833487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1272047 is divided by 1963?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 + 12. Let d = -3.18 - -2.78. Sort v, d, 5 in decreasing order.\nAnswer: 5, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 210528*s. Let j(p) = 57*p. Calculate f(j(n)).\nAnswer: 12000096*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 38*n**2 - 1014*n + 699. What is s(26)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 133 is divided by ((-731)\/408*4)\/((-1)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -47\/15129 and -83\/151290.\nAnswer: 151290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-669)\/21 - -1) + (51 + -85 - 4636\/(-133)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 324*l - 11115 + 12087 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*k**3*w + k**3 - 3*k**2*w + 24*k**2 + 18205*k - w wrt k.\nAnswer: 24*k*w + 6*k - 6*w + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 16 + -12. Suppose y*t - 2*t - 76 = -5*r, -5*t = -3*r - 190. What is the highest common factor of t and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21562 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 927 (base 12) to base 14.\nAnswer: 6ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the first derivative of d**7\/840 - d**6\/36 + d**5\/15 + 13*d**4\/24 + 25*d**3\/3 - 2*d - 45. Let y(b) be the third derivative of l(b). What is y(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6782 is divided by 115?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -5*r. Let a = 11 - 9. Let m = 81 - 84. Let u(x) = -6*x. Determine a*u(n) + m*d(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0\/4 - -55 - 4. Suppose d = 2*m - 33. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/19, 101, -2\/27, -0.4, -30, -5, 0.4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 2 q when three letters picked without replacement from {y: 8, n: 1, r: 2, q: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the second derivative of -5\/2*v**2 - 4*v - 1\/3*v**3 + 0. Let h be r(-5). Which is greater: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.25+-6\nAnswer: -5.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 + 8. Let j = v + 0. Let c be ((-6)\/(-3))\/(3\/9). Is j smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that -52272*t**2 - 792*t - 3 = 0.\nAnswer: -1\/132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 324 and 875592.\nAnswer: 7880328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 165701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*c**3 - 32 + 32 + 0*c - 2*c**2 - 3*c to the form a*c**3 + z*c + i*c**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 0 - (-15 + 5) - (292 + -251).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -2*p**2 + p - 5. Let o(j) = -178*j**3 - 8*j**2 + 4*j + 4. Determine 3*m(w) - o(w).\nAnswer: 178*w**3 + 2*w**2 - w - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27590?\nAnswer: 2, 5, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.1 * 216\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3\/94 and -7\/1392?\nAnswer: 65424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes before 4:07 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be -4*54\/(-45) - (1 + 3). Let -2\/5*h**4 + 0 + a*h**3 + 0*h + 6\/5*h**2 = 0. What is h?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 54043 - -501?\nAnswer: 54544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6*m**4 - 8*m**3 - 15*m**2 wrt m?\nAnswer: 144*m - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 48 = 5*g. What is the greatest common factor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -15355\/88 + 1962\/11. What is the common denominator of 1\/16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 210211 + -3?\nAnswer: 210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/4 + (-1073)\/148.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.07? (a) -2 (b) -4\/3 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 246 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m - 4. Let u be f(-3). Let y be (-3)\/(0 + u) + -1. Suppose -y*x + 3*x + 3*s = -8, s + 3 = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 2 + sqrt(24)\/(sqrt(40)\/sqrt(5)).\nAnswer: sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -3*k**2 + 8*k - 1. Let h(f) = 22*f**2 - 47*f + 663. Determine h(z) + 6*i(z).\nAnswer: 4*z**2 + z + 657","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1403454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34 = -5*h - 4. Suppose -176 - 280 = -h*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 44, 10, 0, -1, -5, 433, -3.\nAnswer: -5, -3, -1, 0, 10, 44, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 32 + -38. Let p(z) = -z**2 - 9*z - 12. Let q be p(c). Suppose 3*d - 9 = q. Let j(f) = -f - 4. Give j(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 16 = -4*t, 5*t + 5*r = 21 - 1. Let z(b) be the first derivative of 0*b - 3\/2*b**2 - 9\/4*b**t + 2 + 3\/5*b**5 + 3*b**3. Solve z(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.087 and 1065.3308.\nAnswer: 1065.2438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) be the second derivative of z**4\/12 + 2*z**3\/3 - 2*z**2 + 4*z. Let t be s(-6). Let a = 14 - t. Solve 0 = -a*u + u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 370 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1014 (base 5) in base 14?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ohohoohkhhko. What is prob of picking 3 h?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -14237 (base 16) to base 13.\nAnswer: -2b712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 153773 is divided by 12814.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1 - -123?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is y in 2*y**2\/3 + 23008*y\/3 + 38330 = 0?\nAnswer: -11499, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = -177 + 180. Suppose w*p + 3*c - 9 = 0, -5*p - 39*c + 23 = -42*c. Is p < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -40 - -22. Let s be a\/(-8) + 1\/(-4). Suppose 2*m - 16 = -4*c, 4*m - 2 = 2*c - 0. Solve -2*f - 5*h - 20 = 0, -16 = -m*f + s*h + 2*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 39732510 to the nearest 100000.\nAnswer: 39700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 2880 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21\/(-2)*13890\/(-45)?\nAnswer: 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -4 + 5 + (-1 + sqrt(432) - sqrt(432))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 52 + 28 = 0. Suppose 0 = 6*v - 376 + h. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*f**2 - f**3 - 13*f**3 - 4*f**2 + 3*f**2.\nAnswer: -14*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2004\/(-44) - (5434\/242 - 23)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((p**(-2\/43)*p*p)\/p)**(19\/4))**(3\/11))**(3\/4) assuming p is positive.\nAnswer: p**(7011\/7568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 575073819 to the nearest 1000000.\nAnswer: 575000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -90 - -95. What is the remainder when 37 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 6099019 and -79.\nAnswer: -481822501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = -143 + 63. What are the prime factors of (-12)\/(-10)*y\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**2 - 7*g + 4. Give j(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.08 - -1.48. Let m = -2 + 4. Sort m, z, 2\/23.\nAnswer: 2\/23, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 2e38 (base 15) to base 16\nAnswer: 26e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4526066 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 11788100477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6\/(-4) - 38\/(-20). Let s = 1.96 - -0.04. Let q = -1253\/3384 - 2\/423. Put c, q, s in descending order.\nAnswer: s, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that -h**4\/5 - 44*h**3\/5 + 531*h**2\/5 - 486*h\/5 = 0.\nAnswer: -54, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -437 + 66*o - 238*o**2 + 235*o**2 + 442 as y + d*o + h*o**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes before 8:12 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -3*i - 81. Let y be (-21390)\/765 - (-28)\/(-714). What is x(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2 - -110010200?\nAnswer: 110010202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4*7 - (-9)\/(-3). Solve 0 = o + 4*o + j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 10 - 14 = 0. Let y(x) = -q + 7 + 5*x + 4. Let m be (-32)\/18 + (-4)\/18. Determine y(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1*(0\/(-2))\/((36\/4)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5028831001 - 5028831001 + 238*l.\nAnswer: 238*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the third derivative of -i**9\/24 - i**6\/120 + i**5\/2 - i**3\/3 - 5*i**2 - 4*i. What is the third derivative of c(f) wrt f?\nAnswer: -2520*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - w - 2*w = 42, -2*c - 2*w + 8 = 0. Suppose 5*r - c*r = -1316. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 60 + 0 - ((-6 - 28) + 404 + -388).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -10*b**2 - 99*b + 14. Let n be (2\/(-5))\/(13\/325). Let t be v(n). Suppose 10*x - 10 = 5*x. Solve 0*g - t = -x*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/36*7\/((-560)\/96)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be 17\/(-68) - (406\/32)\/((-66)\/88). Determine u, given that a - 116\/3*u**3 - 170\/3*u - 2\/3*u**5 + 26\/3*u**4 + 212\/3*u**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 2*q**3 + 3*q**2 - 4*q. Suppose -i = 1 - 0. Let n(w) = w**2 - w. What is i*u(h) + 4*n(h)?\nAnswer: -2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -7*y**2 + 30*y + 3. Calculate v(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6.01 + -6. Let p = 1.4 + -1.6. Let i = v - p. Round i to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 24 = h - 0, -4*v - 4*h + 24 = 0. Calculate the remainder when 22 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 5*b - 17 - 8, 0 = 5*b + 5*f - 60. Let h be (0 + 2)\/((-4)\/(-6)). Suppose h*p - b*p + 156 = 0. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.3 * 0.005.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e, 1 o, and 1 l when four letters picked without replacement from ooozoezooeloeoezoo.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*t - 41 = 29. Which is bigger: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y**2 + 38*y - 356. What is s(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ayhhoahvooa. What is prob of sequence yhoa?\nAnswer: 3\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 3.5027 to one decimal place.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 70 and 7910?\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8 - -14. Suppose 2*r - 3*t = c, -2*r - 6 + 14 = -2*t. Suppose -3*y + 5*z = -21, r*y + 4*z = 2*y + 28. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1 + -1)*(-2)\/(-24). Let r be 2\/3*(9 - 12). Sort p, -1\/4, r in decreasing order.\nAnswer: p, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 9*m + 204 - 135*m + 196 + 2*m - 383. List the prime factors of n(-9).\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.5 minus -541274288.96?\nAnswer: 541274287.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from gcnpxwpnpwgcnwpc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w - 18 = -u, 0 = u + 3*w + 17 - 30 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3415 - 194 = -205*w - 176 - 1933 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -45*z**3 - 4*z + 174*z**3 + 4*z + (3*z**2 + z**2 - 5*z**2)*(-10*z - 21*z + 3 + 22*z) in the form w*z**3 + d*z**2 + c + j*z and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -20265 - -20261. Put p, 87, 60 in decreasing order.\nAnswer: 87, 60, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a - 2*l + 31, 0 = 4*a + 4*l - 2*l - 24. Let h = a + -15. Let k(m) = -m**2 - 10*m - 10. What is the units digit of k(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 76 by 9.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/13 in 0.2, -118, -0.4, 8, 3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -5726000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-22 - 4) + -1 - (-13 - -1) - (-16 - -12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -10\/3, 1, 1\/4, -9, -3 in descending order.\nAnswer: 1, 1\/4, -3, -10\/3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-2)\/(-6)*(-672)\/70 and -28\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 1, v: 2, j: 2, q: 4, k: 1, r: 2}. What is prob of sequence jrqr?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -12, 369 in increasing order.\nAnswer: -12, -4, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by -526\nAnswer: 3\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + 88*l + 142*l - 2 + 8181*l**3 - 8180*l**3 to the form f + i*l**2 + g*l**3 + x*l and give x.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 4*u + 19348, -84*g + 79*g + 5*u = -96815. Does 24 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -5 and 901851.\nAnswer: 901846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((sqrt(624)*-2)\/sqrt(12))\/(sqrt(4) + sqrt(80)\/sqrt(5)) + (1*-3*sqrt(91) - sqrt(91))\/(sqrt(28)\/(sqrt(36) - sqrt(4))).\nAnswer: -26*sqrt(13)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 997*p - 2819. What is l(3)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -63? (a) -3 (b) -5 (c) 3\/4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 13380*g**2*t - 104*g*t - 2*g - 10 wrt g?\nAnswer: 26760*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -15421186 divided by 11?\nAnswer: -1401926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 154276430, 154276431, 154276432, 154276433, 154276434, 154276435?\nAnswer: 154276436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5 - -56. What is the remainder when x is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -163*w**3 - 5*w**2 + 17*w. Let g(z) = 410*z**3 + 12*z**2 - 43*z. Give 5*g(x) + 12*r(x).\nAnswer: 94*x**3 - 11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -2*y**2 + 3*y + 32. Let d = -2 - -7. Let m(r) = r**2 - 2*r - 16. Let a(h) = d*m(h) + 3*g(h). List the prime factors of a(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 - 8\/(-6))*2. Let f = -113 - -113.4. What is the closest to -0.1 in c, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 281 = j + l + 3*l, -3*l - 281 = -j. Suppose -3*m - 66 + j = u, -4*u + 356 = 5*m. What is the greatest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -y**3 - 46*y**2 + 50*y + 144. Let s be o(-47). What is the closest to -6 in 1, 0.5, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -2, -3\/8, -3, -3\/19?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**2 - 15*q - 8. Let t be n(-6). Let h = 28 - t. Let v be (h\/3)\/3*-1. Solve -v*f - 6 = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -3373, -3330, -3259, -3160, -3033, -2878?\n\"Answer: 14*f**2 + f - 3388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -125 (base 10) to base 13\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -151\/246 and -35\/614829604.\nAnswer: 1844488812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 171*u**3 + 849*u**2.\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*m**2 - 5 - 12 + 17.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 17328*c + 310 = 17338*c for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 - 4f20a65?\nAnswer: -4f20a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*d - 494*d = -43*d - 37558 for d.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -137556, -275033, -412510, -549987, -687464, -824941?\nAnswer: -962418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 5*v. Let i be k(1). Let n be (-90)\/(-25) - (-2)\/i. Suppose -29 + 6 = -y. Solve -n*j + 20 = j, 3*x + 2*j - y = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*m + 3156 - 3171 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -438*k**2 + 429*k - 92*k**2 - 1374*k + 474*k + 471*k.\nAnswer: -530*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 153943252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 20122 (base 8) to base 11\nAnswer: 6242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.1 - 1. Let p = 976041\/35 + -27887. What is the closest to p in 5, 3\/8, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**3 + t**2 + t - 1. Let v(m) = 3*m**3 - 3*m**2 - 4*m + 2. Let l(b) = b**2 - 4*b - 1. Suppose -5 - 3 = -2*y. Let s be l(y). What is s*v(p) - 2*j(p)?\nAnswer: -p**3 + p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -948.43 - -953. Let u = -0.43 - n. What is the third biggest value in u, 4, -1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l + 2*p, -16 = l - 0*p - 3*p. Let z be l\/(5 - 3) + 12. Solve -5*j = -0*j + z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -n**2 + n**4 + n**2 + (-3*n - n + 3*n)*(109*n**3 - 481*n**3 + 184*n**3) to d + r*n**2 + x*n**3 + s*n + u*n**4 and give u.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -152808 or -152794?\nAnswer: -152794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 1, o: 2, y: 1, z: 1, x: 1, b: 2}. What is prob of sequence zbvb?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = g**3 + 5*g**2 + 3*g + 2. Let d be w(-2). Suppose 0 = -7*a + d*a. Solve -2*c - 8 - 2 = a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4130 and 49630?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -76*y**2 + 18378*y - 14920. Determine t(241).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - k = 29, -2*j = 3*j + 5*k - 35. Let u be ((-3)\/(-6))\/(2\/j). Let h be ((-2)\/4)\/(3\/(-12)). Calculate the highest common factor of u and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (876\/65262)\/((-1)\/(1\/1))?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 419 minutes before 7:36 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = -9.08 + 0.08. Let v = -11 - j. Which is the smallest value? (a) v (b) 5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + i - 1 = -0*i, -5*r + 4*i = -41. Let p(x) = 3 - r*x - 3. Let d(n) = 5*n. Let l(c) = -c. Let f(m) = d(m) + 4*l(m). What is f(p(y))?\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 6921 != 1\/574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (r**3 - 1 + 1)*(180*r + 17*r**2 - 180*r)*((-2 + 4 - 1)*(-5 + 4 + 6) - 1 + 4 - 4).\nAnswer: 68*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3152776?\nAnswer: 2, 11, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence if when two letters picked without replacement from {g: 2, f: 2, i: 3, v: 1, e: 1, q: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l and 1 g when three letters picked without replacement from {g: 1, l: 4, m: 4, p: 3, w: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 552, 861, 1192, 1551, 1944, 2377, 2856?\n\"Answer: x**3 + 5*x**2 + 287*x + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**2\/3 - 18767*y\/3 - 3915316\/3.\nAnswer: -(y + 211)*(y + 18556)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Do 208\/369789 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 - -1102442014?\nAnswer: 1102442014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.6 and -3.59.\nAnswer: -2.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 41*b + 4. Is r(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 219476 or -1\/15?\nAnswer: 219476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -335312 divided by -38.\nAnswer: 8824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 4021941 to the power of 1\/2, to the nearest integer?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 15*y - 70. Let i be t(5). Solve 4*l + 13 = i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**5\/t)**(-1\/32) assuming t is positive.\nAnswer: t**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4791 rounded to 2 dps?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*2*sqrt(136)*-4*-5)\/((sqrt(88) + -1*sqrt(88)*-1 + sqrt(88))\/((sqrt(539) - sqrt(539)*1) + sqrt(11))).\nAnswer: 200*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is ((-7)\/(14\/508))\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -7*g + 20. Let m(k) = -7*k + 22. Let v(h) = -5*m(h) + 4*q(h). Calculate v(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30\/(-117)*3\/(-5) - (-1460)\/(-21827).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 51092551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 3881\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 37 + 5 = 5*n, -8 = 2*n. Suppose -m*x - 1 = 3. Let v = 1 + x. Sort -3\/4, 4, v in ascending order.\nAnswer: -3\/4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (21*s + 24*s - 18*s)*(1 - 1 + 4)*(-2*s**2 + 4*s**2 - 9*s**2).\nAnswer: -756*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify z*z*z**(-3)*z*z**(-1\/7) assuming z is positive.\nAnswer: z**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -135*j = 40*j + 2975 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 394*w**2 - 197*w**2 + 1217*w**2.\nAnswer: 1414*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 2*x**2. Suppose -4*g + l + 12 = 0, 2*l = 5*l. Suppose 4*s = -n + g, 2*s + 21 = -5*n - 0*n. Let z(h) = 9*h - s*h + 10*h - 3*h. Calculate z(q(r)).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(1\/2))**(-1\/2))**(15\/2)\/(d**(-5)\/d**3*((d\/(d*d*d\/(d\/((d\/(d**1*d))\/d))))\/d)**(-5\/7)) assuming d is positive.\nAnswer: d**(49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -31 (base 10) to base 2\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -168*l**2 - 13 + 13 - 118*l**2.\nAnswer: -286*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1.25, 1, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find q such that -2*q**2\/7 + 5974*q\/7 + 1708 = 0.\nAnswer: -2, 2989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -n**3 + 35*n**2 + 75*n - 33. Let o be y(37). Let b(p) be the third derivative of -3\/2*p**3 + 1\/20*p**5 + 0*p + 2*p**2 - 1\/4*p**o + 0. Solve b(i) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 2*z - 118 = 0. Round z to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/40 - 16\/(-80). What is the third biggest value in 2\/11, f, 1\/2, -7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-7)\/5*1*240\/(-48)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 6 = 3*p. Let x be (-629)\/(-14) + (-2)\/(-28). Suppose p*n - x = n. What is the greatest common factor of n and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u - 8. Suppose s = u*s - 174. Let d(m) = -m**3 + 130*m**2 - 128*m - 71. Let i be d(129). Is i greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -595 - 11?\nAnswer: -5a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 145 a factor of 6243265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 2*j. Let k(l) = -41253*l**2 + 5*l + 2. Determine k(v(i)).\nAnswer: -165012*i**2 + 10*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -176*z + 3. Let r(w) = 117*w - 2. Determine 5*d(j) + 7*r(j).\nAnswer: -61*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -462608, -462623, -462654, -462707, -462788?\nAnswer: -462903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1337 + -145. List the prime factors of u.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 10*p**2 - 2608*p + 34552. Calculate n(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1*(3\/15 + (-684)\/45). Sort 4, p, 0.4, 0.3.\nAnswer: p, 0.3, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0354 times 20?\nAnswer: 0.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 943967905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j**(-10)\/j)\/j**7*j\/j**8*j**(2\/33))**(-35\/4))**9 assuming j is positive.\nAnswer: j**(86415\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 22*p**6 - 9*p**4 + 2*p**3 - p**2 - 39*p.\nAnswer: 2640*p**3 - 216*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/6604616 and 83\/10.\nAnswer: 33023080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0003088 rounded to 5 dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 2324*p + 5651. List the prime factors of z(9).\nAnswer: 31, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1572.574 and -1971.5875?\nAnswer: 399.0135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) 1 (b) 28 (c) -3\/5 (d) 0.216\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 219 (base 10) to base 7.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose y**3\/11 + 49*y**2\/11 + 138*y\/11 = 0. What is y?\nAnswer: -46, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 3, t: 11, l: 4}. What is prob of sequence mt?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/3 (b) 1\/11 (c) -2 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -4*((-4)\/(-16))\/((-1)\/3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1\/7)*x*x**28)\/(x\/((x**(1\/24)*x)\/x)*x**5) assuming x is positive.\nAnswer: x**(3847\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Are -2\/377987 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the second derivative of f**4\/12 + f**3\/3 - f**2\/2 - 3*f. Let h be a(-3). Factor 12*g**4 + 1 + 24*g**2 + 8*g + 13*g**3 - 1 + 13*g**3 + h*g**5.\nAnswer: 2*g*(g + 1)**2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 2*c**3 - 2*c**2 - 2*c + 3. What is w(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7*b**2*m**2 - 4*b**2 - 3858113*b*m**4 - 5185818*b + 1 wrt m.\nAnswer: -14*b**2*m - 15432452*b*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -12 + (-15 - (6 + 7 + -46))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13758 is divided by 570.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -261 - 25*y**4 - 40*y**4 + 166*y - 383 - 165*y with respect to y.\nAnswer: -260*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 102.98748ns in minutes?\nAnswer: 0.000000001716458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*n**3\/7 - 634*n**2\/7 - 41382*n\/7 + 1462050\/7.\nAnswer: -2*(n - 25)*(n + 171)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 0 + sqrt(80))**2 + -6*(-2*sqrt(500))**2.\nAnswer: -11895 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1160 a factor of 3011023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**3 + 9*l**2 - 2*l - 8. Let t be w(-9). Suppose 0 = -15*k + 10*k + t. Suppose 5*v = v - 12, k*v = 3*d - 471. What are the prime factors of d?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 638621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -440 + 495. Suppose 57 = -36*m + c*m. Solve 0 = -m*r + t + 2, 3*r + 5*t - 3*t - 14 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = -15, -7*v = -3*b - 2*v + 57. Suppose -b*j = -20*j - 8. Solve c + j*c = -12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4036, -6243, -8450, -10657, -12864?\nAnswer: -15071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 16 + -31 + -10 + 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -6995, -6996, -6999, -7004, -7011, -7020?\n\"Answer: -w**2 + 2*w - 6996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 67880 and 6754060?\nAnswer: 13508120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes after 1:17 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/55, 3, -0.02 in descending order.\nAnswer: 3, 3\/55, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23601 is divided by 2933?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -357*q - 2*n = -361*q - 18, -2*n + 8 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (-5*m + 6*m + m)*(2 + 0 - 1) + m - 5 + 5 + 0 + m + 0 - 47879 - 800*m + 47879 - 3*m - m + 5*m as k*m + u and give k.\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 680*a + 3432. Calculate the remainder when 3513 is divided by x(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10*-4*((-75)\/6)\/1 is divided by 132?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3213 a factor of 3003209511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/1265 and -51\/2354671.\nAnswer: 11773355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 458*c = -295*c + 11990019. What are the prime factors of c?\nAnswer: 15923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:02 AM and 10:43 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/1533 and -13\/636993.\nAnswer: 46500489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 39 + 1 + (107 - 107)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 672324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*(u*u**19)\/u*u)\/(u\/(u\/u**15)))\/(u*u**(-4)*u)**(-48) assuming u is positive.\nAnswer: u**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nxj when three letters picked without replacement from {f: 2, y: 3, n: 1, x: 1, j: 3}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnfn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 29*d + 90. Determine c(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-4)\/(-12))\/(1\/9). Let g(i) = -2*i - 5. Let v be 1 + -1 + 1 + -1. Let z(y) = v - y + 2*y + 2. What is x*g(o) + 7*z(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -3 - ((-12 - -7) + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 272*u + 357*u - 620*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 4 (b) 35\/11 (c) 2\/21 (d) 0 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 38 - -4. Suppose -g + 4*g - u = 0. Suppose -4*k + 2*k = -g. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**2 + 67. Let y(c) = 9*c**2 - 8. Let w(b) = 14*b**2 + 11*b**2 - 30*b**2 + 12*b**2 - 6. Let l(m) = 4*w(m) - 3*y(m). Give l(z(d)).\nAnswer: d**4 - 134*d**2 + 4489","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*s + 61 + 35. Put 0, s, 2, -4, 11 in descending order.\nAnswer: s, 11, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.028, 1\/5, -3, 269 in ascending order.\nAnswer: -3, -0.028, 1\/5, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 129.8 - 130. Which is the nearest to 4? (a) w (b) 5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -139\/2028 and -67\/2218970.\nAnswer: 13313820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -j - 3 = -2*y, 5*y + 4*j - 15 = -j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 2*w + 5*t, -4*t + 22 = 5*w - 2*w. Suppose 0 = -4*m - 2*a + 8 + 2, -2*a = w. Solve -3*g - 2 + 18 = -v, m*v - 8 = -5*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1397941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 1779*f**2 + 16. Let g(q) = 11*q. What is u(g(c))?\nAnswer: 215259*c**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 2*l = 10, -4*l + 3 = -3*o + l. Suppose -127 = o*k - 415. What is the common denominator of 73\/15 and -4 + 230\/k + (-1)\/3?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*t = -13 - 47. Solve 9*v + 8 + t = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*m + 4*m - 11*m)*(-8 - 6*m + 15 - 5).\nAnswer: 18*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1589540 - 1046494. Let d = t - -1436034. Round d to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 28015849*a**3\/7 + 83899343*a**2\/7 - 21144*a - 111767184\/7.\nAnswer: (a - 1)*(5293*a + 10572)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -k + 7. Let d be a(4). Calculate the lowest common multiple of 9 and (9\/(-5))\/(d\/(-15)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -5*y**2 + 0*y + 0*y - 4. Let n(v) = 11*v**2 + 9. Let g = -90 - -93. Suppose 0 = -2*u - g*t - 9, -u = -6*u + 2*t - 51. Determine u*i(o) - 4*n(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -924*w = -2217*w - 488*w - 5801*w + 515576 for w.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -31185 in -0.2, 0.3, -0.02, -1, -0.13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a + 47 - 222 = 0. Suppose -j + 3*j - 15 = -g, 4*j + 3*g = a. What is the nearest to 0 in j, 2, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes before 2:28 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -h**2. Let k(q) = -851*q + 3. Determine k(r(p)).\nAnswer: 851*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 66089 is divided by 66085?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the second derivative of -19*f**5\/10 + 17*f**4\/6 - 24*f. Find the third derivative of q(m) wrt m.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**3 - 7*q**2 - 7*q - 3. Suppose 3*i - 25 - 20 = 0. Let s = 23 - i. Let b be f(s). Solve -2 - 3 = 5*y - b*z, 3*z = 2*y + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000436363779 to 5 decimal places.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 302997198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -v**2 + 1 - 1 + (4 - 3 - 2)*(-v + v + v)*(-17*v + 11*v - 14*v) to i + j*v + f*v**2 and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 16\/11 (b) 1 (c) -11 (d) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 3792780 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g**2 + 2*g**2 + 0*g**2)*(-83*g + 273*g - 2*g).\nAnswer: 188*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 4*u = 12. Suppose -x = -u*x. Suppose 0 = -x*t + 3*t. Solve -y + 2*y = t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -2*x**3 - 7*x**2 + 3*x - 5. Let m be l(-4). Suppose -5 - 4 = -3*u. Put -8, m, u in descending order.\nAnswer: u, m, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 1.6 and 0.04.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3832*l**2*m + 47*l*m*v**2*z**2 + 40*m*v**2*z**2 + 830*m*v**2*z - 2*v**2*z**2 + 2*v**2 - 3*z - 1 wrt l.\nAnswer: 7664*l*m + 47*m*v**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h + 6. Let j be f(-6). Let g be (3 - (3 - 2))*1. Let s(n) = -9 + 14 - 3*n**g + n + 4*n**2. Give s(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 7*f + 73. Let a be g(-10). Suppose -2 + 2*p**2 - 727*p**3 + 0*p + p + 726*p**a = 0. What is p?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -251*h - 420*h + 59*h**2 + 671*h.\nAnswer: 59*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract -18 from -1187500423.\nAnswer: -1187500405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-8)\/(-4) - -37 - 3. Let g be (-2 + -1 + -13)*13\/(-4). Let l = g + -48. Calculate the greatest common divisor of y and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((c*c\/c**(-8))\/c)\/c)\/c)\/c*c\/c**(-1\/2) assuming c is positive.\nAnswer: c**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:59 AM and 4:06 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40815\/3 - 2220\/185.\nAnswer: 3, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the second derivative of -m**7\/42 - 104*m**6\/15 - 2703*m**5\/5 + 208*m**4\/3 + 21632*m**3\/3 + 5680*m. Determine l, given that r(l) = 0.\nAnswer: -104, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -21.3 - -21.7. What is the smallest value in 1\/7, 0.1, 4, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1939.9 + -1940. Let k = 2 + -1.7. Which is the second biggest value? (a) k (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12000202020220 (base 3) in base 15?\nAnswer: -37ba66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e and 2 g when four letters picked without replacement from {g: 4, z: 1, q: 3, e: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-15))\/((-254)\/635)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 1 + 1 - a - 2.\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c be (24\/(-36))\/(2\/(-6)). Let i(y) = -65 + 6*y**3 - 2*y**c + 0*y**2 - y + 67. Let w be i(1). Solve 4*a + 26 = -5*u + 10, w*a + 2*u + 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**2 + 275*t + 17826. Calculate y(-171).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 17 = -3. Suppose 7 - 42 = -k*p. Let t(f) = -f**3 + f**2 - f. Let a(v) = -5*v**3 + 12*v**2 - 13*v + 8. Let u(c) = -a(c) + 4*t(c). Determine u(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -493 divided by -4?\nAnswer: 493\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 20*o**6 + 28*o**4*r**2 + 13*o**2*r**2 + 43*r**2 wrt o.\nAnswer: 2400*o**3 + 672*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-14))**(-3\/5)\/(y**(-9\/5))**(5\/8) assuming y is positive.\nAnswer: y**(381\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(3 + 35\/(-15)))\/(6\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -b + 9*j + 10 = 12*j, 2*j = -5*b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (20 + -55 + 24 - (0 + 50)) + 2\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -15*b**2 + 11 - 2 - 12*b**2 + 30 wrt b?\nAnswer: -54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 144469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-3)\/(-4))\/((-6)\/13))\/(6\/24)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.85*-0.2\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -168, -217, -286, -375?\n\"Answer: -10*p**2 - 19*p - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.81 - -10.09. Let a = 11 - k. Let n be (1\/6)\/((-1)\/(-4)). Which is smaller: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1397929610 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -1154*x. Let b be u(1). Suppose 7339 + 17894 = -13*w. Let o = b - w. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-12)\/24*6\/(-2))\/(11*(-3)\/264)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Is 103111571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 less than -0.05212173?\nAnswer: -0.35212173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) 1.3 (b) -103 (c) 0 (d) -721\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 650\/975*6\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 46144890119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 164201004 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 79 or 1350?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -9150*j + 9138. Determine n(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -1\/5 (c) -0.5 (d) 3.693 (e) -3 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7202 - 86363\/12. Find the common denominator of 63\/80 and t.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 70 + -41. Let f = -22 + j. Suppose 4*s - 48 = -5*c + 48, -3*c + 72 = 3*s. Calculate the remainder when s is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -20154 and -22680 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -11*o + 134 + 50466*o**2 - 50467*o**2 + o. Let b be h(8). Sort 2\/11, -0.1, b in decreasing order.\nAnswer: 2\/11, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 4 = 2. Suppose 0 = 7*t - 6*t. Suppose v - 21 = -o + 5*v, t = 4*v + 20. Solve 3*b + q = -o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1268 and 1268?\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1088) + -2 + sqrt(102)\/(sqrt(6)*-4).\nAnswer: -2 + 31*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -1615619, 11, -4 in decreasing order.\nAnswer: 11, -4, -1615619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.03? (a) 7 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4)\/14 + (-132)\/28. Let w = s + 6. Which is greater: w or 5\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2436 = -97*g + 206*g - 73*g + 7332 for g.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 12*t - 15. Let n(w) = 38*w - 48. Let y(d) = 16*c(d) - 5*n(d). Let q(k) = 7*k**2 - 1. Give y(q(v)).\nAnswer: 14*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 221 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.2991 and -5?\nAnswer: 4.7009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 218033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -4, 5, 1, 35, -78 in ascending order.\nAnswer: -78, -4, 1, 3, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 73528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2\/7)\/(1\/14) + 2. Solve n*m = 2*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 12*k - 5. Let u be (-6)\/24 + 21\/4. Is d(u) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**3 - 14*h**2 - 33*h + 10. Calculate m(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 1000010 (base 2) to base 15.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*f + f - 8. Differentiate -2*j**f - 4*j**2 - 4 + 4*j**2 with respect to j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(363) + -2)**2*-3.\nAnswer: -1099 + 132*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/1371, 2, 4, 6, -0.4, -4 in descending order.\nAnswer: 6, 4, 2, -1\/1371, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 96416 + -52231. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1a - d3?\nAnswer: -10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 308 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -0.5*86070\nAnswer: -43035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 324934*g**5*t**2 + 202*g - 47*t**2 wrt g.\nAnswer: 6498680*g**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -151c5 + 7?\nAnswer: -151bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 451*s**2 - 982*s**2 + 489 + s**4 - s + s**3 + s**3 + 525*s**2 to l*s + r + f*s**2 + h*s**3 + n*s**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1921*h**2*x**3 - 2*h**2*x + 513*h*x + 17*h + x**3 + 2*x wrt x?\nAnswer: 11526*h**2*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 6456971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*u - 6*u - 6*u)*(-62*u**3 - 69*u**3 + 1042*u**4 - 1044*u**4).\nAnswer: 4*u**5 + 262*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -a**5 - 14*a**4 - 70202*a**3 + 308945132*a.\nAnswer: -20*a**3 - 168*a**2 - 421212*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w*w*w**1)**(2\/85))**21 assuming w is positive.\nAnswer: w**(168\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*z**2 + 25 + 3*z**2 - 40 - 47 - z + 4 + 2*z**3 to s*z**3 + g*z + c*z**2 + a and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3391922564?\nAnswer: 2, 7789, 108869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-6)\/(-8) + -1)\/(56\/(-1120)). Suppose -l - h*j = -32, 0*l - 2*j = -3*l + 11. Solve -5*p = -k - 22, 3*p + l*k = 2*k + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is c in -84*c**4 - 2427*c**3 - 6459*c**2 - 3648*c + 468 = 0?\nAnswer: -26, -2, -1, 3\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 2*d = -8, 6*d = 5*d - 3. Suppose -4*y + 5*y - i = 0. Suppose b = -u - y, -4*b + 27 = 4*u - 7*b. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -u**2 + 8*u. Let t(c) = -3*c**2 - c - 73. Let m(n) = t(n) - 2*z(n). Determine m(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -1247, -55, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 75 = -5*c + 7*c, 4*z = -4*c + 296. Solve 0 = -z*g + 56*g - 51 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(-456 - -12)*(-11 - (-65)\/(-13))?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 4*d = 6*j - 40, 0 = -3*j + 4*d - 5. Let w = -2 + j. Let f(y) = y**3 + 5*y**2 - 5*y + 8. What is the remainder when w is divided by f(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 56\/1157 and -7\/130.\nAnswer: 11570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -3*m**2 + 19*m - 57. Let z(i) = 4*i**2 - 20*i + 58. Let q(p) = 3*u(p) + 2*z(p). Let n be q(13). Is n less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1228828*r**4 - 8*r**3 - 34395580.\nAnswer: -4915312*r**3 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -96588 by -2.\nAnswer: 48294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 546 (base 11) in base 8?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -2*r - 4*r**3 - 5*r**2 + 54 - 55 + 3*r**3. Let k = 3 + -8. What are the prime factors of u(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m**2 + 14*m + 16. Let k be o(12). Suppose -5*x + k = t, -3*x = -t - t - 24. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -7*z**3 - 19*z**2. Let b(j) = -6*j**3 - 20*j**2. Give -6*b(h) + 5*n(h).\nAnswer: h**3 + 25*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -y + 2*v - 35, 0 = -y + 3*v - 0*v - 40. Let w = -19 - y. Is 14 a factor of ((-63)\/2)\/(w\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 5, 11, -2 in descending order.\nAnswer: 11, 7, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 41892630 to the nearest 10000.\nAnswer: 41890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 16 - 71 = 0. Calculate the remainder when 60 is divided by 1 - 1 - (o + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 15 + (-1 + -13 - -23) + -10\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -95.19 - -95.1900008946. Round h to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 138a46 - -23?\nAnswer: 138a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -148*-0.03.\nAnswer: 4.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13799235?\nAnswer: 3, 5, 919949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -37*z + 7. Let u(k) = 36*k - 6. Let i be 112\/456*-24 + (-12)\/114. Determine i*u(f) - 5*p(f).\nAnswer: -31*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 258426 > 258423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 = 20*d - 25*d. Let c(j) = -6*j + 9*j + 8 - j**2 - d. Give c(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(37\/(8325\/120)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -5*q - 3*c + 5*c, -3103*c + 3104*c = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 divided by -5.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c**(-2\/7))**(2\/89))**(-6))**9 assuming c is positive.\nAnswer: c**(216\/623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (-3*(sqrt(24) + sqrt(96))*-2)\/(sqrt(32)*2 - (sqrt(288) - (-2*sqrt(288) - sqrt(288)) - sqrt(288)))*3)*-3.\nAnswer: -3 + 81*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.333 (b) 4 (c) -4 (d) -121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**2 + 20*s - 563. Is 16 a factor of f(-122)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1 - (16\/4 + -18). Let s be (13 - v)*(0 + 1). Solve 20 = -s*r + 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1 + -0.1. Let x = 9 + -9.1. Let s = w - x. Sort s, -2, -1\/4 in decreasing order.\nAnswer: s, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/10*(-16 + (-369)\/(-24)). Which is the second biggest value? (a) -16 (b) -0.2 (c) 0.5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -12*q + 12*q + 119*q**2 - 2*q**2 - 3*q + 3*q + (1 - 2 - 1)*(-3*q**2 + q**2 + 0*q**2) + 3*q**2 - 4*q**2 - 3*q**2.\nAnswer: 117*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is ((-134)\/(-737))\/(3\/((-66)\/(-8)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3678, -7350, -11032, -14730, -18450?\nAnswer: -22198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = -3*w + 882 + 266, 8 = 4*t. What is the highest common factor of 240 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v - 7*z + 2*z - 1, -3*v + 20 = 2*z. Let u be v\/10 - (-164)\/(-340). Suppose 0*i - 5*i = d - 24, -4*d = -4*i. What is the smallest value in i, 2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -2935, 1, 2.\nAnswer: -2935, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(-39) + 3 + (-462)\/(-91)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 33184503 - -3?\nAnswer: 33184506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4411 in 0.0603, -25, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nhhthtnitnttt. What is prob of sequence tnin?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, y: 1, h: 2, w: 2, j: 1}. What is prob of sequence hhy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 5*s**3 - 7*s**2 - 9*s - 4. What is j(-2)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.2 and 707892.\nAnswer: 707891.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(350)*-1*-5)\/(5*-1*sqrt(7)*-3*6).\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/(-5)*210\/(-693)*(-13)\/26?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-32)\/(-192) - 118\/(-12). Suppose f = -2*d - 9, 3*d = -4*f - f - y. What is the closest to -0.1 in 99\/2, -1\/4, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 50278, 45658, 41038?\n\"Answer: -4620*y + 54898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 209*w**2 + 3 + 201*w**2 - 388*w**2.\nAnswer: 22*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the second derivative of 2\/13*s**2 + 7\/65*s**5 - 9*s + 0 + 2\/65*s**6 + 3\/13*s**3 + 8\/39*s**4 + 1\/273*s**7. Find m, given that g(m) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -1, -1\/7, -24\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -1185 - -66781157.\nAnswer: 66779972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -396500 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - 245\/(-40))\/((-38)\/(-152))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p**2 + 6*p - 21. Let d be u(6). Let y be (-2)\/(-7) - (-258)\/d. Calculate the common denominator of -93\/22 and ((-1)\/y)\/(16\/(-376)).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the third derivative of g**5\/30 + 14*g**2. Let s = 15 + -8. Let p(c) = 3*c**2 - 2*c + c + c. Determine s*m(i) - 5*p(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5 and 310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 552 minutes after 6:20 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -109\/12 and -23\/284?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 432 = 4*d, 330 = 3*a + 3*d + 2*d. Suppose 609*z - 162 = 603*z. What is the remainder when a is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 254500 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*c**2 - 500*c - 1545.\nAnswer: 5*(c - 103)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (343\/294)\/(0 - 1\/1)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 6b1 (base 16) in base 4?\nAnswer: 122301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 5, b: 2, e: 5}. What is prob of picking 1 y, 1 b, and 2 e?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4771944 and 9?\nAnswer: 4771944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41843 is divided by 20778?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 29\/9 and ((-6)\/(-208))\/((-1077)\/(-180) - 6).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that 2*r**4\/9 + 200845712*r**3\/9 + 5042375003598368*r**2\/9 = 0.\nAnswer: -50211428, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.005658 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 12 = -748*k + 752*k, 4*h + 24 = 0. Put -5, 1263, k in increasing order.\nAnswer: -5, k, 1263","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vtvtvvvvttvvttzvvvv. Give prob of sequence zt.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by -598101.\nAnswer: 1\/598101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -124, -227, -330?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 4 = -x, 4*m - 2 = -2*x - 0*m. Suppose x*u = 39 + 276. List the prime factors of u.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 15 = -3*v. Let o(a) = 2*a. Let q be o(v). Let g = q + -1. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12456*x**2 + 14261*x**2 + 4 - 4.\nAnswer: 1805*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -11828 or -94623\/8?\nAnswer: -94623\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 6 = -0*x. Let p = x + -42. Let w = p + 62. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 749533 is divided by 935.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -0.066, 4, 0.1, 1 in decreasing order.\nAnswer: 4, 1, 0.1, -0.066, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1007704 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p - p + p + 0. Let r(w) = 1111*w - 2226*w + 2*w**2 + 1115*w. Calculate t(r(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g**3 - 23*g**2 - 21*g - 59. Let w be d(-22). Let x = 53 + w. Which is smaller: -31 or x?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 81394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g - 3*r + 17, -g = -2*r + 11 - 4. Suppose 4*x = 2 + 6. Is g smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5587.\nAnswer: 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/2 of a hour in minutes?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 19197 = u, -4*d - 28*u = -32*u - 38400. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/84*(4 - (1 + -1)). Let u(t) be the first derivative of 3\/7*t**2 - 2\/7*t**3 + 1 + 1\/14*t**4 - v*t. Factor u(o).\nAnswer: 2*(o - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y - 4*t + 32 - 77 = 0, 7*t - 21*t + 144 = 16*y - 13*t for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (17\/(-5525)*-65)\/((-1)\/7).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -26.10241828 to 3 decimal places.\nAnswer: -26.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1957*v**4 - 2812 wrt v.\nAnswer: 7828*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**2 - 5*g - 8. Let b be q(6). Let c(z) be the first derivative of -z**4\/2 + 2*z**2 + 3*z + 147. Is c(b) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (0*11\/44)\/2. Factor 0 + 2\/11*a**3 + 0*a + t*a**2.\nAnswer: 2*a**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 69\/(123234\/376) + 0 + 0?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-8)\/(-28) + (-1516)\/14. Let n = -317 - r. Let v = n - -294. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-4)\/(-4) + (-231)\/(-3).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1288 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -4*u + 31. Let w(j) = 1. Let t(i) = p(i) - 2*w(i). Let o be t(-5). Suppose 2*q - 11 = o. Calculate the least common multiple of 6 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**3 - 2*o**2 - 4*o + 5. Let j be b(4). Let g = 26 - j. Let l(a) = a**2 - 4*a + 7. Calculate the remainder when 23 is divided by l(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -4*n**2. Let m(b) be the third derivative of -b**5\/120 + 7*b**3\/6 - 26*b**2. Let w(v) be the first derivative of m(v). What is w(k(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -10093*v + 117612 = -27250*v + 1065164 + 545107 for v.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1 - 7)\/(24\/(-32)). Let f be 2 + 0*(-1 - 0). Calculate the highest common factor of z and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 0 = -20. Suppose -c*q + q = 3*v - 285, -v = 4*q - 110. What is the tens digit of (v\/(-4))\/((-12)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 96 = v. Suppose -h + 5*h - v = 0. Solve -h = -2*m - 0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*y + 4*y - 288. Suppose -4*c = -7*z + 2*z + 191, -4*z + y = -c. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, 2, -20, -0.135, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d**3 - 29*d**2 + 4*d. Let l(g) = -g**3 + 30*g**2 - 5*g. Let o(r) = -53*r**3 - 370*r**2 + 5*r - 18. Let i be o(-7). Calculate i*l(f) - 5*c(f).\nAnswer: -f**3 + 25*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -19 + 12. Let h be -1 + 0 + (-2 - y). Let d = 17 - h. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 3*i - 1. Suppose 4 = -2*t - 2*t. Let u(p) = p**2 + p + 1. Let d(h) = t*q(h) - u(h). Give d(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 117370632 and 32.\nAnswer: 469482528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4771470 and 990.\nAnswer: 14314410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 5*u - 17. Let k be (u\/(-35))\/(4\/(-14)). Which is the second biggest value? (a) -0.5 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*k + 82*k + 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the third derivative of g**5\/60 + g**4\/24 - 11*g**3\/6 - g**2. Let u be h(0). Let y = u + 28. Calculate the highest common factor of y and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1332, 0.3, 28, -2\/3 in descending order.\nAnswer: 28, 0.3, -2\/3, -1332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2803, 2799, 2795, 2791, 2787, 2783?\nAnswer: 2779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*s - 10*s + 82 = 2*l, -5*s - 119 = -3*l. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -2957395 + (-4 + 2 - 1). Let k = -29618501\/10 - c. Let j = 4443 + k. Calculate the common denominator of -39\/11 and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -32063\/9 + 3567. Find the common denominator of 41\/11 and s.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2954\/5? (a) 2\/17 (b) 0.11 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 9.439? (a) -1\/4 (b) -24 (c) 1\/16 (d) -5 (e) -3 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = -4*p + 433, p = 3*p + 3*a - 219. Suppose 25*c - 2 = -p. Sort -1\/2, c, -1, 2\/9 in decreasing order.\nAnswer: 2\/9, -1\/2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9953.647 decades to months.\nAnswer: 1194437.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -13 + 17. Solve 5*v - t = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 260.23 + -260.23. Let q be ((-1)\/7)\/(2\/4). Sort s, -0.2, q, -1\/6.\nAnswer: q, -0.2, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**3\/3 + 2*g**2\/3 + 3*g - 6.\nAnswer: -(g - 3)*(g - 2)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 5*c**2. Suppose 4*t + 46*f - 47*f - 153 = 0, 2*t = -4*f + 54. Let x(y) = t*y - 74*y + 37*y + 49*y**2. Give b(x(j)).\nAnswer: 12005*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/2*12\/(-10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {q: 3, t: 4, v: 3, o: 7, d: 2}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 63220 and 53955.\nAnswer: 6258780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4144469, -8288940, -12433411, -16577882?\nAnswer: -20722353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence he when two letters picked without replacement from jnhjnjnennin?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2290, -9174, -20648, -36712?\nAnswer: -57366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2116, -4737, -7344, -9931, -12492?\nAnswer: -15021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -14473 take away 0.6?\nAnswer: -14473.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4920 and 300.\nAnswer: 24600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (42\/((-1302)\/(-31))*1)\/(2\/(-170)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2211211101 (base 3) in base 13?\nAnswer: 1c654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 118840612 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*s**2 - 2*s**2 - 2*s**2)*((6 + 5 - 1)*(-5 + 3 - 3) + (1 + 3 - 2)*(3 - 2 + 0)*(0 + 3 - 4)).\nAnswer: 52*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6288\/(9\/9) - -2. Round g to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(204)\/(sqrt(60)\/sqrt(5)) - (sqrt(612)*3 + sqrt(612) + sqrt(612))) + (sqrt(153) + -4 - -2*sqrt(612)) + -1)**2*-1.\nAnswer: -3357 - 140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 3*r**2 - 4*r + 2. Let f(d) = d + 9. Let q = 21 + -28. Let t be f(q). Suppose 0*b = -b + t. Give m(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3268)\/(-950)*(-170)\/(-68)?\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(1\/3))**(-27))**(7\/6) assuming w is positive.\nAnswer: w**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -14*l**5 - 15*l**2 - 3*l. Let y(s) = 15*s**5 + 16*s**2 + 4*s. Let h(t) = -4*d(t) - 3*y(t). Find the third derivative of h(m) wrt m.\nAnswer: 660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 3*h + 16. Let a(u) = -5*u**2. Calculate a(t(m)).\nAnswer: -45*m**2 - 480*m - 1280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 110329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -0.3, -9, -2, -8\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -93 + 57 = 5*f + 4*k, 100 = -7*f - 18*k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -12*b - 20. Let u be w(-7). Suppose v = 5*v - u. Let a(o) = o**2 - 13*o + 11. What are the prime factors of a(v)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k**2 - 4*k**2 + 5*k**2)*(-42*k**2 + 6*k**2 + 16*k**2).\nAnswer: -60*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -2*c**2. Let x(y) = 9*y + 1. Let w(a) be the second derivative of -11*a**3\/6 - 3*a**2\/2 + 62*a. Let h(u) = -3*w(u) - 4*x(u). What is r(h(m))?\nAnswer: -18*m**2 + 60*m - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*d - 4294*d**3 + 1547*d**3 + 1373*d**3 + 1354*d**3.\nAnswer: -20*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the third derivative of w**5\/30 + 5*w**4\/24 + 2*w**3\/3 + w**2. Let z = 116 - 113. Let f be 0 - z\/((1 - 5)\/(-4)). Calculate h(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16743017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h, 1 i, and 2 u when four letters picked without replacement from {i: 7, s: 1, n: 1, h: 4, u: 2}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(891)*-2 + -4)**2 - (-3*(4 + sqrt(1100)*2 + sqrt(1100)))**2.\nAnswer: -85664 - 2016*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a millisecond in microseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*j = -28*j - 162. Let c(m) = 12*m**2 - 9*m + 26. Is c(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 28*y**2 + 6*y. Let c be d(-2). Let u = -123 + c. What is the remainder when (2\/(-5) + u\/(-20))*64 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-26 - -20) + (9 - 1). Let z be n*-3*(-2)\/(-240). Which is greater: -0.3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -3\/80 and 109\/708?\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -656 + 602. Let a = u - -110. What is the remainder when a is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {v: 2, w: 1, b: 1, k: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 210876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -v**4 + 0*v**4 - v**4 + (-3*v**4 + 2*v**4 - v**4)*(-4 + 6 - 4) - 275*v**4 - 1565*v + 1565*v.\nAnswer: -273*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**2 - 7*o + 4. Let h be ((-36)\/(-14))\/9 + 102\/(-14). Let x be p(h). Solve -x*v = -3*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -40, -73, -106, -139, -172, -205?\n\"Answer: -33*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = 4*w - r - 2, -5*r = -4*w + 7. Let j = -215 - -220. Which is the fourth smallest value? (a) 2 (b) w (c) j (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1766 + -899. What is the highest common divisor of 51 and q?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 4*b**3 - b**2 + 5. Let j(u) = 5*u**3 - 2*u**2 + 6. Let n(y) = -5*j(y) + 6*r(y). Give n(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -2, 4, -75, -350 in decreasing order.\nAnswer: 4, -2, -4, -75, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q**3 - 342*q**2 - 1345*q + 4. Calculate s(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1 + (-879 - -1))*18\/99. Let c = r - -160. Solve 2\/11*h**5 + 0*h + 0*h**3 + 8\/11*h**2 + 0 - c*h**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 55055 - 55051. Let j = -6.031 - -6. Which is bigger: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 50045874 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be (3\/(-22))\/(3\/4). Let u(g) = -g**2 - 24*g + 110. Let x be u(-28). Which is the closest to 0.1? (a) x (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -88*x + 1983. Give n(19).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 2265.16 hours?\nAnswer: 8154576000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -3218 by -41303.\nAnswer: 3218\/41303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.466743? (a) -2 (b) 2\/49 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6\/1733 - -167921\/51990. Find the common denominator of 25\/129 and g.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2202 and -1251?\nAnswer: -2754702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1\/1 + 24\/(12\/2). Suppose -3*s = -3*k + 7*k - 820, -4*k - 1420 = -m*s. What are the prime factors of s?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -373, -371, -369, -367, -365, -363?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = -4*k + 644, -5*k + k = 3*o - 485. Calculate the common denominator of 42\/(-10)*(-60)\/(-88) and (-6)\/2 - o\/(-24).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24381 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1978 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0*(4 + -8)\/8. Factor 12*h**2 - 11*h**2 + d*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 41 + -42.95. Let j = w - 0.05. Let k(t) = -t**3 - 5*t**2. Let g be k(-5). Which is the closest to -0.1? (a) g (b) -1\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -3, 2\/193, -0.09, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 296105767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 - -1011111101011011110?\nAnswer: 1011111101011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -d**2 - 9241*d - 18478.\nAnswer: -(d + 2)*(d + 9239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 2244121 (base 11) to base 3.\nAnswer: 21101121221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1869858, 3739707, 5609556?\n\"Answer: 1869849*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 13943.00035676 + -13943. What is m rounded to five dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 10830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.083*-7393.\nAnswer: 15399.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*m + 3*s = 7*m + 23, 5*s = -5*m + 25 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 920 and 16.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -7*t + 32. Suppose t*l + 2*x + 138 = 2*l, 0 = 5*l + 4*x + 343. Let a = -61 - l. What is the smallest common multiple of 2 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -45*t**2*x + t**2*y + 170*t*x*y wrt t?\nAnswer: -90*x + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 4 = -1. Suppose -3*r + 3*a = -108, -j*r - 2*a = -r - 60. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3.85 + -3.65. Let j(p) = 5*p + 2. Let y be j(1). Which is the nearest to s? (a) y (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 2 (b) -5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from xtfyfiit?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -d**3 - 12*d**2 + 13*d - 2. Let b = 128 - 131. Let n(w) = w - 10. Let k be n(b). Determine g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -25*v - 11*v + 3*v - v. Solve 3*m + 3*j = -0 + 9, m - j + 5 = v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 869 - 867. Let w(l) be the second derivative of p*l + 0 + 1\/8*l**4 + 0*l**3 - 3\/4*l**2. Factor w(i).\nAnswer: 3*(i - 1)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*t + t - 2*t + (-2*t - t + t)*(0 + 1 + 2) - t + 0*t + 0*t + 902*t - 1793*t + 901*t)*(0*t - 3*t + t) - 10*t - 2*t**2 + 10*t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3.0018 + 1.9982. Sort -0.1, -4, -1\/3, v, -1\/92 in descending order.\nAnswer: v, -1\/92, -0.1, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2 - -2. Suppose -2*o + 10 = -a, 8 + 2 = 5*a + 2*o. Suppose 4*y - 2*c - 18 = a, -2*c + 6*c = 4*y - 24. Solve x*q = y*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 614043318.\nAnswer: 2, 3, 7, 14620079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is ((-40)\/5)\/(-8)*10\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.0057028688 and 0.4.\nAnswer: -0.00228114752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -61*v + 389 + 38. Calculate the highest common divisor of v and 959.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40945 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: 20834 divided by 68468\nAnswer: 10417\/34234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -651? (a) 3 (b) 0.2 (c) -19 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -22*g + 94. Let s(j) = -j + 1. What is u(s(y))?\nAnswer: 22*y + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -60*v**2 + 5*v + 28*v**2 + v**3 + 34*v**2 + (2 - 2 + 4)*(0*v**3 + 3*v**3 - v**3).\nAnswer: 9*v**3 + 2*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 170530634 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z + 60 = 4*p - 59, 34*p - 31*p + 120 = 4*z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -40, -79, -142, -247, -412, -655, -994?\nAnswer: -1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 7595 * 0.6\nAnswer: 4557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be 11\/(-6) - 2\/12. Let y = j + -2. Is y != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -52 - 100 - 35 = -187*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be 68\/14 + 1\/7. Suppose 0 = f - 0 - w. Suppose f*v + 3*u = 2 + 34, 0 = -4*v - 3*u + 27. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2 - -1 - (0 - -6). What is the tens digit of 4 - (-42)\/(10 + k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (891\/(-1134))\/(36\/(-1512))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -0.3 (b) 1\/7 (c) -8 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 3*g + 1. Let f(w) = w. Let y(l) = -l + 8. Let v be y(6). Let r = -4 + v. Let t = 0 - -5. Give r*o(s) + t*f(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u - 9 + 24, -5*u = -4*s + 31. Suppose -14*k = -s*k - 60. What is the highest common divisor of 48 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the next term in -362, -723, -1076, -1421, -1758, -2087, -2408?\nAnswer: -2721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:08 PM and 5:01 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 58? (a) -3 (b) 0.02 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -5*w**2 + 0*w**2 - 3*w**2 - 3*w - w**3 - 3*w + 3. Let i be q(-7). Let u be -2*(i\/14 - 0). Is 0 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 1, i: 1, c: 1, r: 2}. Give prob of picking 1 r and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -110*h**2 + 1491. Let r(p) = 67*p**2 - 746. Calculate 3*i(g) + 5*r(g).\nAnswer: 5*g**2 + 743","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 20, 82, 146, 176, 136?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -186*a**2 - 13*a**2 + 42*a**2 - 2 + 3 + a**3.\nAnswer: a**3 - 157*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1178 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 251 = 5*t, 9*t - 4*t = o - 44. List the prime factors of o.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2 + 3209 - 0\/(-6). Suppose 0 = 15*a - f + 766. What are the prime factors of a?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12080878 bigger than 12080875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + 2*4*sqrt(45))**2.\nAnswer: 144*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 110904 = -4*a + 56488, -4*a + 3*l = -167384. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 165 = -10*p + 5*p. Let d = p - -71. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 6320 = -9*m. Let d = m - -929. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 786 + -783. Suppose 4*k + 0*k + 12 = 0. Sort k, -5, i in descending order.\nAnswer: i, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 94 divided by 16802?\nAnswer: 47\/8401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 946.4195 centimeters in micrometers?\nAnswer: 9464195","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: -4025 (base 6) to base 9\nAnswer: -1178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**2 + 13*i + 5. Let b(k) = k**3 + 4*k**2 - 10*k - 10. Let a be b(-5). Suppose -13 = 2*v + f + a, -64 = 4*v + 4*f. What is p(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 35282 and 1888.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s + 5*o = -5, 3*o - 7*o - 4 = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iii when three letters picked without replacement from ffiifiiiii?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 70 by -70.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1951 + 1955. Solve -17 = 5*v + p, 4*v + 0*p + a = -4*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40777 = -6*c - 8843. Round c to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand w**2 - 2*w**2 + 2*w**2 + (2*w - 2 + 2)*(0*w - 2*w + 0*w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -100 + 100. Which is the nearest to -1\/4? (a) 4 (b) 1\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 2 = -2*s + p, -8 = 2*s - 2*p. Let l(g) = 3*g**2 + g + 8. Let f be l(s). Suppose -d - d + f = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:31 AM and 5:47 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 265568 to the power of 1\/2, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 7238 - 22104 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (o - 4*o + 5*o)*(-53*o**2 - 2*o**3 - 740 + 740) + 3*o**4 + o**4 - 6*o**4 as t*o + v*o**3 + c + f*o**4 + j*o**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -30 - -30.1. Let s = 3.053 - -0.047. Let l = s - f. Which is the third biggest value? (a) l (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -11, 838, 2\/7, 2\/17, 1\/5 in ascending order.\nAnswer: -11, 2\/17, 1\/5, 2\/7, 838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -470 <= -465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -760, -1274, -1788?\nAnswer: -2302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 16.907 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 89.94526763 to 3 decimal places.\nAnswer: 89.945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -44*p - 2. Let a(w) = -173*w + 342. What is a(m) - 4*s(m)?\nAnswer: 3*m + 350","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2897 is divided by 409?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(-70)*2*(-50)\/(-4).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -3886.511 minus 0.1?\nAnswer: -3886.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -391*n + 8792 + 6848 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u**2 + 2*u + 1. Let n be -8*(20\/(-16) - -2). Let o(w) = w + 1. Let m(q) = n*o(q) + 3*j(q). Suppose m(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the third derivative of 0 - p**3 + 0*p**4 + 1\/20*p**5 + 0*p + 4*p**2. Let m(s) = 7*s**2 - 13. Determine 6*m(z) - 13*t(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*w**2 + 0*w**2 - w**2)*(0 + 1 + 1) + 5*w**2 - 5*w**2 + 2*w**2 - 1120*w**2 + 9539 - 4770 - 4769.\nAnswer: -1114*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-128)\/(-10) + (48\/280)\/(708\/826).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 633 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*h - 4*h + 2*h)*(0 - 3 + 4)*(26*h - 53*h - 37*h).\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 2*r + 6. Let k be v(6). Suppose 0 = -2*p + 20 + k. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the third derivative of -5*q**4\/24 + 7*q**3 + 5*q**2. Calculate the smallest common multiple of 10 and k(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = -207*a + 206*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 101610075 to the nearest integer?\nAnswer: 10080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + k + 3)*(-4 + 2*k**2 + 4) + (-2*k**2 + 5*k**2 - 2*k**2)*(-1939*k + 272*k + 1 - 692*k).\nAnswer: -2357*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = -12234 + 12232.8. What is the third biggest value in 1, y, 2\/111?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 8 - -11d?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 13 = 3*c + 15, 4*k - 5*c - 2 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 66*f - 2 + 8)*(-5 - f + 3 + 0*f) to p + n*f**2 + r*f and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 104790 is divided by 24276.\nAnswer: 7686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -8.09 take away -13526328888.3?\nAnswer: 13526328880.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 3*h**2. Let w(z) = 2. Let y(k) = k - 7. Let b(q) = 7*w(q) + 2*y(q). Determine b(i(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 2*z**2 + z - 1. Let d be r(1). Suppose -d*i = -38 - 50. What is the highest common divisor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1 (b) -1\/167 (c) -3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 319 = -4*h, 42*h + 5*k = 43*h - 106. What is the greatest common divisor of h and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1664605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*w - 8*w + 300. Suppose v = -4*v + w. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*i + 10, 5 = 4*l + 5*i - 2*i. Suppose 0*t + 40 = l*t. Let q(f) = -2*f - t*f - 10*f + 17*f. Let h(j) = -2*j. Determine q(h(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -3*y**3 - 2*y**2 - 2. Let x be 0 - (-3)\/(6\/(-4)). Let t(j) = j**2 + 137 - 137 - j + j**3. Let a = -41 - -40. Determine a*v(s) + x*t(s).\nAnswer: s**3 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j**3 + 5*j**2 - 10*j - 4. Let n be x(-10). Let p = -1\/149 + 163\/2086. Find the common denominator of p and ((-9)\/24)\/((-81)\/n).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50568 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve l - 10 = 3*u, l + l = 5*u + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = -2*t - 8, -3*t + 8*t + 5 = 0. Suppose 0 = -k*n - 2*n. Let z be (n\/3 + 3)\/2. What is the second smallest value in 1\/4, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-4)\/(-14) + 4882\/14 is divided by (-1131)\/(-145)*((-14)\/(-24) - 1)*-4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 34 - 100\/3. Let j = 3 + -6. Let g = 3.2 + j. Which is the closest to m? (a) 4 (b) 3\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24089675261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-48)\/(-312) + (-521)\/91 + 5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -20*j + 26 + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:46 AM and 7:14 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 2*x - 3*m = -31, 4*m + 102 = 2*x. Suppose -d - 2*q = 3*q - 32, 3*q = -4*d + x. Solve -d = 2*k - c - 0*c, 4*c - 4 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 12.8, -2, -7, 0, 3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/15, 0.12, -331361?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(2\/3)\/(i*i*((i**(-2\/81)*i)\/i)\/i)*i**(2\/5)\/i**(-3) assuming i is positive.\nAnswer: i**(1252\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 39? (a) -2\/9 (b) 5 (c) 4 (d) -2\/15 (e) 0.85 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 21 + 25 - r + 6 - 13. Suppose 21 + 27 = 4*p. Let u be q(p). What is the greatest common factor of 18 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes after 1:44 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/u**(-11)*u**(-3\/19))**(-25) assuming u is positive.\nAnswer: u**(-5625\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 16 = -4. What is the third derivative of -3*o**2 + 4*o**6 - 3*o**6 + 3 - 112*o**4 - 115*o**4 + 224*o**n wrt o?\nAnswer: 120*o**3 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is c in -3*c**4 - 657*c**3 - 7515*c**2 - 12747*c + 60858 = 0?\nAnswer: -207, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7589 is divided by 146?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -341113 (base 5) in base 15?\nAnswer: -3873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1297, -2505, -3623, -4651, -5589?\n\"Answer: 45*o**2 - 1343*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 528\/264*((486\/(-390))\/(-9))\/(6\/10).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 23*y**2 - 3*y - 21. Let d(r) = -988*r**2 + 130*r + 910. Let f(j) = 6*d(j) + 260*w(j). Let b(s) = 71*s**2. Give b(f(v)).\nAnswer: 191984*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1722 and 8459612.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*k**4 + 72*k**2 + 27*k + 82835 wrt k?\nAnswer: 8*k**3 + 144*k + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**3 - 8*m**2 + 7*m. What is the tens digit of b(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 849707*c**4 - 226532 with respect to c.\nAnswer: 3398828*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6244065, 6244046, 6244027, 6244008, 6243989, 6243970?\nAnswer: 6243951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by 560240.\nAnswer: 1\/560240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/6*(-7)\/35?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -25\/6 (b) 0 (c) 0.32 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2\/3 (c) -0.1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -97.3 - -97.3000408. What is q rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -58*g**6 + 245*g**3*q**3 - 101*g**2*q**3 - 27*g**2 + g*q wrt g?\nAnswer: -6960*g**3 + 1470*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the first derivative of -19*t**5\/40 + t**4\/12 - 110*t**3\/3 - 54. Let r(z) be the third derivative of i(z). Let m(y) = -y**2. Give m(r(p)).\nAnswer: -3249*p**2 + 228*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 222502 divided by -111251.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 5 = 21. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 597, 595, 593, 591?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 272? (a) -1 (b) 0.1 (c) -111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -14227 - -14227. Let j = 19.99 - 20. What is the smallest value in c, -1\/5, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -779\/7 - -111. Let u = 0.2 + 0.8. Let j(o) = -o**3 - o**2 - o - 2. Let a be j(0). What is the second smallest value in r, a, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -74*r = -75*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-21)\/8 + 6\/2. Let l = 3.3 + 0.7. Let s be 28\/28 - (-2)\/8*-3. Which is the biggest value? (a) l (b) m (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in 0.3, 872, -7\/4, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Solve 4*w - 4*z - 5*z = -6*z - 2*z - 105, 3*w - 58051*z + 58047*z = -69 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7218 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 times -0.0639719?\nAnswer: -0.01279438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 13713241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -4076751 (base 9) in base 8?\nAnswer: -10233246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by 6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-3)\/j)**29*(j**(-1\/2)\/j)**50)**(18\/13) assuming j is positive.\nAnswer: j**(-3438\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 506 + -501300740600.\nAnswer: -501300740094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2.5 (b) 4 (c) -1\/6 (d) 291\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 21*y**2 - 8*y + 20. Is 67 a factor of m(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7b088 (base 16) in base 13?\nAnswer: 1484bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, o: 2, j: 2}. What is prob of picking 2 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 32681\/7434 + -3\/413. What is the common denominator of r and -23\/441?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -9\/496220 or -1?\nAnswer: -9\/496220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.3, 4, -6 in increasing order.\nAnswer: -6, -1.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 288845 rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 3*h + 2. Let s be y(1). Suppose 8*c - 3*c - 45 = -5*d, -2*d = s*c - 33. Suppose -c*k - 541 = -6*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 61694 is divided by 1281?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 195 and 958140.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -27263 divided by -20?\nAnswer: 27263\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from llfppzlzplll. What is prob of picking 1 z and 2 l?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 23112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -1100100111010101100 (base 2) to base 14.\nAnswer: -aa8d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 120 = -5*o + 11*o. Suppose 30 = -h - 5*z - 0*z, 4*z + o = 0. Let r = 0.2 + -0.3. Sort 4, r, h.\nAnswer: h, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - (-4 + (-2 - -7))) + (-15 - -9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 64 = 17*w - 126 + 54 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**2 - 8*m - 3. Let d be j(-3). What is the tens digit of d\/(-16) - 190\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 111*o - 5 + 10 + 23*o - 3 + 0.\nAnswer: 134*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 1 + 712*q**2 - 1376*q**2 in the form u + s*q + j*q**2 and give j.\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {v: 5, l: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*m + 85 = 13. Let r be 325\/45 - (-2)\/m. Put -2, r, 0, 3 in descending order.\nAnswer: r, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -o**3 + 12*o**2 - 2*o - 1. What is m(12)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -124, -2, 2319 in descending order.\nAnswer: 2319, -2, -5, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 2236, 8979, 20228, 35983, 56244, 81011?\n\"Answer: 2253*v**2 - 16*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26308.\nAnswer: 2, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 31063 <= 155322\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4488 and 4764072?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k = -3*p + 5, 0*k - 2*p = 2*k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from szszqtqzssq. What is prob of sequence sqt?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 2*u - 15 = 0. Suppose -17*n - 646 = -663. Put u, 5, n, -5 in ascending order.\nAnswer: -5, n, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zdwd when four letters picked without replacement from {w: 3, d: 3, c: 3, k: 1, z: 1, a: 2}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 128 and 23301920.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c + 0 - 4 - 2)*(20*c + 541 - 541).\nAnswer: 40*c**2 - 120*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1)\/4 + (-2)\/4. Let x = -1 + -4. Sort -0.1, x, k in decreasing order.\nAnswer: -0.1, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that -176*h**2 + 0 + 275*h**5 + 128*h + 0 - 559*h**5 + 48*h**3 + 283*h**5 + h**4 = 0.\nAnswer: -8, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1450 and 260.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2 - -1) + 2 + -6 + 1. Is -2\/9 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 + (-12)\/(-5))\/(552\/40 + -12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 282 + -189. Suppose 4*d = f + 35. Let l = 51 - d. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 + (-3 - -8 - 4). Suppose 2*o - 3*n + 7 = -6*n, -q = 2*n. Let c = o - -11. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.07 * 30.\nAnswer: -32.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 1 + 0 + (3 - 4 + 3)*(3 - 5 + 3) - 3 + 0 + 5)*(258*j**2 + 127*j**2 - 193*j**2)*(-2*j - 2*j + j) to v*j**3 + k*j**2 + t + w*j and give v.\nAnswer: -2880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -n + 4*n. Let s be 20\/54*(n + 3). Let -2\/3*t**2 + 2\/9 - 4\/9*t**4 + s*t**3 - 2\/9*t = 0. What is t?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*w + 10*w + 5*w + 3*w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 47964552?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**2 + 8*r + 2. Let u = 13 + -7. List the prime factors of x(u).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 66809 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {c: 1, w: 6, p: 8}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 12 - 7 - 6 - 3*z in the form g + h*z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 20*p - 1. What is h(-1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -484, -3912, -13210, -31312, -61152, -105664, -167782, -250440?\n\"Answer: -489*o**3 - o**2 - 2*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + r + 501 = 96, 0 = 2*h - 2*r - 258. Which is smaller: h or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x - 407 = 3*z - 399, x + z = 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, o: 2}. Give prob of sequence ood.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 208 or 257893\/1244?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -352 = -11*v - 0*v. Let g = -6 + 2. What is the remainder when 30 is divided by (-2)\/(1*g\/v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 52*q**4 + 1779*q**2 - 1779*q**2 - q**4 + q**3 - q**3 + (-3*q - q**2 + 3*q)*(q + 2*q**2 - q).\nAnswer: 49*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5194716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be (24\/(-44))\/((-2)\/3) - 1. Let a = -373 + 6343\/17. What is the second smallest value in -1, a, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -205*b**3 + 422*b**2 - 422*b**2 - 163*b**3 - 111*b**3.\nAnswer: -479*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 62630.05 minutes in microseconds?\nAnswer: 3757803000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 57\/21830 and 107\/29139165?\nAnswer: 3438421470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -49\/3498870 and -151\/77674914?\nAnswer: 388374570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5967 and 42632889.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 20*c**3 + 102*c**2 - 10*c + 24. List the prime factors of m(9).\nAnswer: 2, 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -9022 + 9041. What is the least common multiple of 25 and c?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -12968aa + -2?\nAnswer: -1296901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**3 + 183*g**2 + 8046*g - 1442. Give d(-74).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 73124*p**2 - 22*p - 13*p - 73061*p**2 wrt p?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 83.1 - 98. Let t = -15 - j. Sort 2\/9, 4, t in decreasing order.\nAnswer: 4, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 6111514 + 123?\nAnswer: 6111640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 4*d - d - 4*d. Let i(g) = 3*g**2 - 4*g**2 - g**2. Determine s(i(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 2*s - 2. Let l be g(3). Suppose -l*b = -b. Suppose b = -4*u + 4*i + 108, 0 = -2*u + 5*i - 18 + 78. Solve -5*j + 5*y = u, 0*y + 2*y - 10 = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -14*v**6 - 59*v**4*x**3 - 112*v**2*x**3 - 5*v**2*x**2 - 3*v*x**3 + 2*v + 4*x wrt v?\nAnswer: -1680*v**3 - 1416*v*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -4*l - l - l**3 - 5 + 2*l - 2*l**2. Suppose 4969*k - 4991*k = -22. Let x(z) = z**2 + z + 1. Give k*s(j) + 3*x(j).\nAnswer: -j**3 + j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1 - -2) + (-1 - 1). Let w be 274\/6 - y\/(-3). Suppose 5*z + k = 61, w = 2*z + 2*k - 7*k. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32917.\nAnswer: 32917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -4 + (-3 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**3 + 12*m**2 - 40. What is r(0)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2 + (-2 + 87 - 1). Let c = -147352 + 147567. What is the greatest common divisor of l and c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 18 = z + 3*z, 0 = -4*d - 3*z + 17. Calculate the common denominator of 28\/(-72)*(-1 + d\/(-4)) and 62\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -33443 - 3?\nAnswer: -34001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -2*b + 3. Let l be j(-1). Let k(x) = -x**3 + 2*x**2. Let t(f) be the first derivative of -3*f**4\/4 + 5*f**3\/3 + f - 417. Calculate l*k(n) - 2*t(n).\nAnswer: n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: What is 40128 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 6, s: 2, y: 1, b: 3}. Give prob of picking 3 v and 1 b.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 - (-5 - -6) - 2 - 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -252, 86, 424, 762, 1100?\nAnswer: 1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 12020114\/5 or 2404022?\nAnswer: 2404022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -169 + 173. Let n = 2 - 1. Put -6, n, l in descending order.\nAnswer: l, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -25*f**2 - 436*f - 151. Let v be w(-17). Solve 4*o = y + v - 26, -4*o + 16 = 2*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/10)\/(((-30)\/125)\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -248419, -3, 5, 3 in decreasing order.\nAnswer: 5, 3, -3, -248419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 172494 and 12348?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1151, -1092, -1043, -1010, -999, -1016, -1067, -1158?\nAnswer: -1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**(-1))**(5\/7)\/((q**(-1\/3)*q)\/q**11))**(-50))**48 assuming q is positive.\nAnswer: q**(-161600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the first derivative of 13*o**5\/180 + 4*o**4\/27 + 2*o**3\/27 - 3*o**2 - 4. Let q(t) be the second derivative of g(t). Factor q(k).\nAnswer: (3*k + 2)*(13*k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m + 17 = -3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 18204\/(-33210) + (-16)\/(-40)\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**3 + 46*l**2 + 167*l + 4. Let t be f(-4). Let u(v) be the first derivative of -v**3 + 1\/4*v**4 + 0*v**2 + t + 0*v. Factor u(g).\nAnswer: g**2*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 133 + -374. Let q = l + 1146. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4715 != 4709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -4473 (b) 3 (c) -368 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3648 and 969.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ybu when three letters picked without replacement from yyyyyybuuyybuyuu?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -65 + 115. Suppose -l = -6*l - 5*q + b, 2*l - 23 = -3*q. Let p(j) = -4*j + l*j + 0*j - j. Let g(o) = -10*o**2. Determine g(p(c)).\nAnswer: -40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*w**2 - w**2 + 5*w**2)*(w**2 - 9*w**2 + 5*w**2) + (2*w**4 + w**4 + 0*w**4)*(-4 + 5 - 2) + 3*w**4 - 4*w**4 - w**4.\nAnswer: -23*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14*97.\nAnswer: -1358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 - -5. Let f = 12 - h. Solve -5 = 3*t + 2*x - f, -t - 5*x = 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 13*m + 4. Let c(s) = 9*s + 3 - 4*s + 4*s. Let d = 3295 - 3288. What is d*c(b) - 5*w(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*b**3 - 9459*b**2 - 16240*b + 5412 = 0 for b.\nAnswer: -2, 2\/7, 1353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*u + 136 = -7*u. Suppose -2*y = -y + u. Is 7 a factor of (18\/5)\/(y\/(-10) - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 59377845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -8*k**4 - 29*k**4 + 19*k**4 + (-k**4 - 1 + 1)*(2 - 2 + 2) + 23*k**4 + 5*k**4 + 4*k**4 - 1 - 2*k**4 + 2*k**4 + k**4.\nAnswer: 13*k**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (51\/34)\/((-35)\/20).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 68*y - 66*y + 16 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 77637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 72664 - 72663.948423. Round h to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 109040248?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 2028*b + 1972*b - 70*b - 5260*b - 3544*b.\nAnswer: -8930*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -33900 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 123899.\nAnswer: 19, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 4796 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d - 3*p + 20 = 0, -220*d - 122 = -225*d - 14*p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*i - i + 2*i + 0 - i + 0 + (2 - 1 - 3)*(-4*i - 2*i + 5*i))*(6 - 2*i**3 - 6).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 32*r**4 - 2*r - 13*r**4 - 15*r**4 + r**2 to o*r**4 + s*r**3 + y*r + w*r**2 + n and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 62*u + 28. Let q(t) = 53*t + 28. Determine -5*m(b) + 4*q(b).\nAnswer: -98*b - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u and 1 a when three letters picked without replacement from uuuuruuhuurah.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 3228 minus 0.1?\nAnswer: 3227.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/8 + (-25384)\/32. Let f = 1206 + t. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 9*z - 53. Let l(a) = -11*a + 54. Determine -4*l(r) - 5*y(r).\nAnswer: -r + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 5, d: 2, h: 1, p: 1, z: 3}. Give prob of sequence pd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 6*r + 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -25*c - 45*c - 208 - 702 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 18 = -23. Suppose -t - 3 + k = 0. What is the closest to -1 in t, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 6*n + 1 - 9*n + 4*n + 0 + 3. Calculate u(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 45, 80, 115, 150, 185, 220?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9 - -23. Let t = 36 - j. Suppose 4 = -t*a, -5*v + 7 = -a - a. Solve 3*p + 5 + v = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -a = -3*a + 2*r - 14, 0 = a + 4*r - 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 397259.3l?\nAnswer: 397259300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -g**3 + 6*g**2 - 5*g + 1. Let w be h(5). Let l(q) = -q**2 - q. Let p be l(w). Let y = p - -6. Calculate the highest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0004927315 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + 2*b + b + 4 + 2*b + 0*b - 3*b + (-445 + 36*b + 445)*(3 - 4 + 0).\nAnswer: -34*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) -2\/201 (b) 3\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply -22885531 and -3.\nAnswer: 68656593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2209626593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4135195.3 or 0?\nAnswer: 4135195.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -55954*r**3*z**3 + 3*r*z**3 - z**3 + z**2 + 312*z + 111 wrt r?\nAnswer: -167862*r**2*z**3 + 3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhrrrxrhvva. What is prob of picking 1 a, 1 v, and 2 r?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k**2 + 2*k - 1. Let g(q) = -q + 1. Let w(m) = 3*g(m) + y(m). Let c(h) = -3 - h**2 + 351*h - 702*h + 352*h. What is 3*c(z) + 5*w(z)?\nAnswer: 2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor w**3\/3 + 764*w**2\/3 + 142820*w\/3 - 1191968\/3.\nAnswer: (w - 8)*(w + 386)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -112132 + 20?\nAnswer: -112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15083*s - 15109*s + 3588. Calculate the greatest common factor of s and 20378.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8, -1, 14, 65, 164, 323, 554, 869?\nAnswer: 1280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*22*(-31)\/(-868)*-14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-114)\/(-27) + 4\/(-18). Let w(d) = -14*d**3 + d - 1. Let l be w(1). Let r be l\/(-7) + 32\/(-18). What is the nearest to 1\/5 in r, u, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(51)\/(sqrt(3) + -6*1*sqrt(3)).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-91)\/65 + 4\/10 - -14. Solve 10*b - j*b + 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 459 minutes before 5:21 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34 - 34 + 39*g - 7*g**2.\nAnswer: -7*g**2 + 39*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*m = -12*m - 18. Suppose -4*j - 448 = -m*g, 4*g - 2*j = 3*j + 887. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 10984 = -5*m - 32042, 4*a + 2*m = 21072. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-36)\/28 + 4\/14. Let j = t + 1. Does 11 divide (-3)\/((-1)\/6 + j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4 + -4*4\/(-32)*0. Suppose -w + 4*o = -8 + 10, -5*w + 110 = 4*o. Solve -3*d - 3*z = -w, -j*d + 4*z = -0*d - 16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -384 divided by -22\nAnswer: 192\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 2, b: 2, t: 1, x: 1}. What is prob of picking 1 t, 1 b, and 2 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor l**3\/5 - 15*l**2 - 88*l\/5 + 912\/5.\nAnswer: (l - 76)*(l - 3)*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 2924*h - 716*h - 6900*h = 4498*h - 431930 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggsgsgagssgkakgsgsg. Give prob of sequence gg.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 2\/13 (c) 15 (d) 1929 (e) -1 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 2 - 1 - (-15 + (-2 - -7))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-12)\/66 + 9\/(-11). Let u be (r + 7)*(-57)\/(-570). Find f such that u*f - 4\/5 + 1\/5*f**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the distance between -4 and 121057322.072?\nAnswer: 121057326.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -u + 14. Let v be n(10). List the prime factors of 1\/8*v*1178.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 0.9, -12\/11, 2, -4\/9, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -2*(-2)\/48*-8\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2627286 (base 11) to base 10\nAnswer: 4548363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 1.2, -1445, 1 in increasing order.\nAnswer: -1445, 1, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 3*q**2 - 45*q + 5. Let j(s) = 2*s**3 + s**2 + 48*s - 101. Let f be j(2). What is t(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i\/(i\/((i\/(i*i**(-3\/2)*i))\/i*i)))\/(i*i\/(i\/(i*i\/((i**(-2)\/i)\/i*i)*i))))\/(i\/(i*i**(2\/7)*i))**(2\/13) assuming i is positive.\nAnswer: i**(-965\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1514 + -1663 - (-135 - -9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 5*z - 420 = 0, -o = 4*z + 13 - 94. Let r = o - 25. Find the common denominator of 2\/6 - (-682)\/r and -79\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -48 + 21601?\nAnswer: 21564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 40.4 (b) -3\/7 (c) -7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -754\/3 + 253. Sort y, 0, 13.\nAnswer: 0, y, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39957814123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 981 times 1.565\nAnswer: 1535.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -1000 (base 2) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 184673707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 3*s**2 + 2*s. Let l(h) be the first derivative of 35*h**3\/3 + 25*h**2\/2 - 400. Give 6*l(m) - 75*w(m).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is ((-17)\/68)\/((-3)\/64164) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 196 = 2*a, 0 = p + p - 2. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -1062 divided by -59\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 47\/693576 and 109\/1907334?\nAnswer: 7629336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -13*t**2 - 288*t - 40. Give h(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 103*y - 8995. Determine w(88).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t**4 + 375*t**3 - 7875*t**2 + 30625*t = 0 for t.\nAnswer: 0, 5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -3*f - 0*f. Let y(r) be the second derivative of 3*r**5\/20 + r**4\/6 + 5*r. Let a(c) = -4*c**2 - 7*c**3 - 5 + c + 5. Calculate f*y(w) + 2*a(w).\nAnswer: w**3 + 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 8 (b) 6\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1, 0.1, -0.4, -43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 2*m**2 + 2*m - 2. Let t(u) = -791*u - 14 + 2*u**2 + 789*u - u**2. What is the smallest common multiple of c(3) and t(6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2108 and 44578.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**3 + 4*z**2 - 4*z + 3. Let c be v(3). Which is smaller: c or 0.6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 93 + -35 + -17 + 0 - 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 932567873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 897 = 4*b - 3*b. Let u = 6289\/7 - b. Is 0 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-6 - (-1239)\/210)\/(29\/67) and 26\/261.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-76)\/19*(-5)\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + (-11 - (-17 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the first derivative of -c**6\/360 - c**5\/90 + c**4\/72 + c**3\/9 + 21*c**2\/2 - 12. Let k(g) be the second derivative of f(g). Factor k(u).\nAnswer: -(u - 1)*(u + 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-30)\/(b\/b**(1\/17))*(b\/(b**8*b))**(-1\/45) assuming b is positive.\nAnswer: b**(-23534\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 1955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that -s**3 + 9285841*s**2 - 21556706126399*s - 21556715412241 = 0.\nAnswer: -1, 4642921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9 and 37?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 238639332*h**4 - 48*h - 3760175 wrt h.\nAnswer: 2863671984*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1013 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -46*c**2\/7 + 52*c + 32\/7.\nAnswer: -2*(c - 8)*(23*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = p - 6. Suppose -24 = p*l - 6*l. Suppose 3*t + 2*n - 102 = 0, 3*t + n - 61 = 41. Solve 0 = 2*x - 5*g - l, 5*x + 3*g - 2 = -t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1003 - 685. Does 51 divide 3\/2*(v + 22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.18 in -0.2, -1, 0.1, 64, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply -584939 and -0.0374.\nAnswer: 21876.7186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 6*r - 38. Let z = -66 - -63. Let i(y) = 2*y**2 + 7*y + 9. Calculate the least common multiple of i(z) and t(9).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {w: 1, h: 1, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 404667509?\nAnswer: 47, 101, 85247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -776 - 13.4.\nAnswer: -789.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, 0, 264?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n - 5*z + 27, 3*z + 27 = 4*n - n. Calculate the smallest common multiple of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z = 10*g + 23 - 125, -36*g + 3*z - 3 = -35*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (2\/(-6))\/((-2)\/96). Suppose -5*i - 10 = c + p, 5 = 5*c - 2*i. Which is greater: c or -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v*v*v**3\/v*v*v**(2\/5)*((v**(-7\/4)\/v)\/v)\/v**(2\/17) assuming v is positive.\nAnswer: v**(521\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 155 minutes before 6:31 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 5 + 0)*(-7*x**2 + 2*x - 2*x) to the form k*x + g*x**2 + b and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -1 - (7 + -9) - 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6877 and 116984647.\nAnswer: 6877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 946312?\nAnswer: 2, 23, 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 0.5617111 grams?\nAnswer: 561711100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 306745591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 0*w**2 - 3*w**2 - 2 + 3*w - 2*w + w. Let s(k) = -7*k**2 + 5*k - 5. Let f(y) = -5*l(y) + 2*s(y). Factor f(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 8\/2233 and -27\/812.\nAnswer: 8932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2\/69 (b) -0.5 (c) -4 (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (10 - 1) + (-12834)\/1368 and 79\/60?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 13*w. Let q(a) be the third derivative of -1\/60*a**5 - a**2 + 0*a**3 + 0*a + 0 + 0*a**4. What is i(q(s))?\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 3*m. Let j(w) = -w + 0*w + 8 + 0*w. Let d be j(6). What are the prime factors of h(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6.487 + 0.258. Let r = 6.8 - n. Let s = r - -0.045. What is the second biggest value in -4, s, -0.5, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -7*d - 118. Let k(t) = -60. Let m(h) = b(h) - 2*k(h). Let q = -12 - -9. Calculate m(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11617 + -8164. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the third derivative of -i**7\/504 + i**5\/24 + 17*i**4\/24 - 13*i**2. Let d(q) be the second derivative of v(q). Factor d(r).\nAnswer: -5*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -5, -9, -1 in increasing order.\nAnswer: -9, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o be 624\/120 + 1 + 0. Suppose 5*s = -2*m + 49 + 79, -3*s = -5*m - 52. Suppose 2*w = -2*w + s. Does w = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {a: 3, y: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 955804, 1911613, 2867422, 3823231, 4779040, 5734849?\n\"Answer: 955809*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be -2 + (14 + -12 + -1 - 27\/(-21)). Which is the closest to 0.1? (a) 21 (b) -6 (c) 1.2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 324 minutes before 3:01 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*o - 5*a - 25 = 2*o, -o = 4*a + 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 188.2 + -188. Which is the nearest to 12? (a) 0.5 (b) -0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j**2 - 7*j - 1. Let s = 16 + -12. What is the remainder when f(-5) is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 7*d - 38083 = 0, 18*j - 38058 = 14*j + 2*d. List the prime factors of j.\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 2*d**2. Let u(f) be the first derivative of f**3\/3 - 561*f**2 - 2296. Calculate u(t(v)).\nAnswer: 4*v**4 - 2244*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -42647 less than -285?\nAnswer: 42362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = 1 + 1, -3*b + r + 101 = 0. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5642915 is divided by 769?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the first derivative of p**3\/3 + 4*p**2 + 17. Give t(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (4\/(-2))\/(-21*(-19)\/(-456))\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 102311333 (base 5) to base 8\nAnswer: 1513735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 120\/38*(-80826)\/6381\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5 + -1. Suppose -2 = -2*n + 18. Let k = n - v. What is the remainder when 16 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*o + 138 = 42. What is the least common multiple of (-1 + o)*(-21 - -5)\/(-8) and 170?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 70454397898 - 0.07\nAnswer: 70454397897.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 14 + 5 - 6 + 4*n. What is the tens digit of o(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.584438 and -0.4.\nAnswer: -0.984438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 126*b**4 - 5467*b**3*w + 11*b**2*w + 23149*b + 2*w + 1 wrt b.\nAnswer: 3024*b - 32802*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.126153 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the second derivative of -2*m**2 + 0 - 1\/4*m**4 + 2*m - 1\/3*m**3 - 1\/20*m**5. Let i be l(-3). Solve -3*q = -i*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a**0)\/a)**(-1) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*d = -7*d - 558. Calculate the common denominator of (-6)\/(-360)*(-3 + d - 3) and -67\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*h**2 + 6*h**2 - 21*h**2 + 14*h**2.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the second derivative of a**4\/24 + 7*a**3\/24 - 9*a**2\/8 - 10*a + 6. What is c in b(c) = 0?\nAnswer: -9\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 4154, 4352, 4682, 5144, 5738, 6464, 7322?\n\"Answer: 66*s**2 + 4088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*t**2 + 10 + 822*t**3 - 29 - 824*t**3 + t to the form s*t**3 + v*t**2 + y*t + f and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 2*v - 2 - 4*v + 2 + 2. Let l(g) = -3*g + 2. Suppose -4*k - 4*x = -2*x + 2, 2*k - 5*x = -31. Let o(t) = k*l(t) + 4*n(t). Determine o(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**2 - 9*w + 14. Let g be a(-10). Let j(u) = 8*u + 15 - g*u - 29 + 10*u**2 + u**3. Is j(-9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 2*g, 0 = -u + 3*g. Let d(x) be the first derivative of 1\/2*x**4 + 2 + 0*x + u*x**2 - 2\/3*x**3. Determine n, given that d(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = 5*b - 116, -4*b - 8*z + 10*z + 82 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 652182729.\nAnswer: 3, 11, 2203, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(143) + (sqrt(143) - (sqrt(143) + (sqrt(143)*-2 - sqrt(143))))*-4)\/(sqrt(22)\/(sqrt(2)*2)).\nAnswer: -22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/2)\/(1\/(-5) + 76\/608).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((2*sqrt(228))\/sqrt(12)*-5)**2.\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0393795908 rounded to six decimal places?\nAnswer: -0.03938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 694860746 to the power of 1\/2, to the nearest integer?\nAnswer: 26360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 37 and 1083434?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -257*t**2 + 1156*t**2 - 370*t**2 - 268*t**2 - 260*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2836719*f**2*q + 3210220*f**2 with respect to q.\nAnswer: -2836719*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -2.6 - 1.368759?\nAnswer: -3.968759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g - 15, 9*z = 4*z + 4*g + 16867. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 225, -5, 6, -4 in ascending order.\nAnswer: -5, -4, 1, 6, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000186463414 rounded to seven decimal places?\nAnswer: -0.0000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1277 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 893.\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 180900889?\nAnswer: 13, 13915453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l**3 - 37*l**2 - 71*l - 42. Let b = -1978 + 1943. Calculate c(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 33\/(-1) + (-7 - -10). Calculate the remainder when 27 is divided by (-1 - -7)*(-75)\/f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1174300 to the power of 1\/2, to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3)\/(((-30)\/(-46))\/(-5)). Let m = 3 + b. What is the highest common factor of 39 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7316954805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 30*d**4 - 189*d**3 + 324*d**2 - 81*d.\nAnswer: 3*d*(d - 3)**2*(10*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 2 f when three letters picked without replacement from {h: 3, u: 2, l: 2, i: 1, v: 1, f: 3}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -31*i**3 - 3*i**2 - 10. Calculate the smallest common multiple of w(-3) and 4.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 69059 - 45340. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 23\/105?\nAnswer: 23\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 4*u = 97, -3 + 1 = -y + 5*u. Round y to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3754 is divided by 772?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(605) + (1*sqrt(605) - sqrt(605)) + -2)**2.\nAnswer: -44*sqrt(5) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**2 + 8862*v - 36. Give z(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -17d - -7c2?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 649 (b) 14 (c) -3\/11 (d) -3\/7 (e) -6 (f) 0.5 (g) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t - 2*y = -6, 0 = 5*t - 259*y + 263*y + 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -5 + 12*f + 4 - 3*f + 6*f. Let g be m(-1). Let u = g + 20. Solve 2*z + 0 + 2 = -2*v, -2*v = 4*z + u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -26 (b) 14 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 96391521 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -5604 + 2?\nAnswer: -5602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) be the third derivative of -h**5\/240 - 43*h**4\/96 + 11*h**3\/6 - 3*h**2 - 1401*h. Determine v, given that n(v) = 0.\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 6*o - f = -405, 5*f = -o + 81. Suppose -j + o = 4*n, 4*j - 160 = 2*n + 110. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 5, 0, 64, -50, -12\/695, -2\/21?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 28563*q + 7*q**2 + 28563*q + 1 + 4*q**3 to the form b*q + k*q**3 + a*q**2 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 113\/318770 and 73\/12550.\nAnswer: 1593850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 - -2. Let g(j) = -3*j - 5*j + 4*j + t*j**2 + 3*j - 2. Let x = 10 - 12. What is g(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12748289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -9723 divided by -41\nAnswer: 9723\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -30*h**2 - 26*h - 29. Determine o(-2).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the first derivative of 0*p + 7\/6*p**4 - 3 + 0*p**2 - 4\/9*p**3. Factor c(x).\nAnswer: 2*x**2*(7*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 149 minutes before 11:59 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the second derivative of -53*s**3\/3 - 3*s**2\/2 - s. Let m be g(-2). Suppose -24 + 5 = -x. Calculate the highest common divisor of x and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 16448 and 24419112?\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 529367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of ((-8)\/(-8))\/((-2)\/(-20)) and (42\/4)\/7*2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 69671 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/(f*f*(f*f**(-1)*f)\/f*f))**(-9\/7))**(-8)\/((f\/(f\/(f\/f**(-1))))**(-14)*f**(-3)\/(f*f**(-2\/9))) assuming f is positive.\nAnswer: f**(706\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -235, -2244, -4253, -6262, -8271, -10280?\n\"Answer: -2009*z + 1774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 188*n**3 + 3*n**2 - 58*n + 54. What is z(1)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*o + 5*l - 21, 2 = 4*l - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u = -19*u + 84 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 258 is divided by 134.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -2*j + 3*s, -j + 12 = j - 4*s. Calculate the smallest common multiple of 3 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -22\/3809 and 77\/10.\nAnswer: 38090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -22 + 2*g + 19*g - g**2 - g**2 + g**2. Let q be f(18). What is the second derivative of -39*d + 67*d - q*d + 18*d**4 wrt d?\nAnswer: 216*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 59 - 32. Solve 2*p = -8, -5 = 3*z - 4*p - u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by 42031.\nAnswer: 1\/42031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*(2*(sqrt(132) + sqrt(132) + 1*sqrt(132) - sqrt(132)) - sqrt(132)))\/(-2*sqrt(300) + (sqrt(144)*-2)\/sqrt(12)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, -36, -9, 1.57, -5, -0.2 in ascending order.\nAnswer: -36, -9, -5, -0.5, -0.2, 1.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((47481\/85)\/19)\/((-30)\/(-50)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 2*o**2 - 2*o - 1. Let q be b(2). Suppose -4*f + 8 = 4*z, q*z - 1 - 1 = f. Let s(v) = 13*v - 5*v + 0 - v**2 + z. Determine s(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 9*h**2 + 9*h + 10. What is the units digit of s(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**2 - 24*w.\nAnswer: -2*w*(w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (-26*x + 3 - 3)*(1 + 2 - 11)*(0 - 2 + 4) as d + r*x and give r.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -72 - -212\/3. Let c = 102 - 180. Let x = 547\/7 + c. What is the third smallest value in -3, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 - 47*s**2 + 68*s**2 - 2*s + 1 to the form q + u*s**2 + p*s and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19626*b + 19649*b = 6670. Calculate the remainder when b is divided by 92.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -b**2*c + 12879253*b**2 + b*c*k + b*k - 2*b - 22994268*c*k + 2*k wrt c?\nAnswer: -b**2 + b*k - 22994268*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 18 + -17. Let v be -1 + 6 + 3\/(-9)*6. Put y, v, -5 in descending order.\nAnswer: v, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 19*v**2 - 12*v + 0 - 8 - 7*v**2 - 16*v**2.\nAnswer: -4*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**2 - 1. Let b(y) = -4*y**3 + 8*y**2 - 6. Let p(c) = c**3 + 64*c**2 - 60*c + 331. Let s be p(-65). Calculate s*g(x) - b(x).\nAnswer: 4*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -294*x - 288*x - x**2 + 585*x. Let f(c) = -6*c**2 + 14*c. Determine -3*f(h) + 14*p(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be 9 - 72\/(-45)*(-5)\/2. Let w(o) = -2*o**3 + 13*o**2 - 8*o + 1. Calculate the lowest common multiple of w(i) and (13 - 1)\/(18\/27).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-1\/7))**(-35)\/(w**(16\/5)*w)**(1\/10) assuming w is positive.\nAnswer: w**(229\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3.43 - 3.247. Let k = 33 + -32.905. Let j = k - p. What is j rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.0655 - -77.6655. Let o = 78 - p. Which is the fourth biggest value? (a) o (b) -0.03 (c) -0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/1469432 and 89\/148.\nAnswer: 54368984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -4*t**3*u**2 - 91579*t**3 + 1789616*t**2*u**2 + 59*t wrt u?\nAnswer: -8*t**3*u + 3579232*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:15 AM and 2:33 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -13, -26, -51, -94, -161, -258?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.31 + -9.69. Let v = 9.9616 + b. Let k = 0.042 + v. What is k rounded to four dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jyyyiioijjyoiiy. Give prob of picking 2 y, 1 o, and 1 i.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.951 - 1.1234. Let q = -0.0466 + j. Is q less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0869126 years in millennia?\nAnswer: 0.0000869126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -233 by -233.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sjsssssijsjssijjj. Give prob of picking 1 s and 2 j.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 14, 122, 6 in decreasing order.\nAnswer: 122, 14, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-807 + 807 + 16*s**3)*(-s + 2*s - 2*s) + 0*s**4 - 2*s**4 + s**3 - 2*s**3 + (5 - 3 - 3)*(s**4 - 2*s**4 + 2*s**4).\nAnswer: -19*s**4 - s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -54296, -54313, -54330, -54347, -54364, -54381?\n\"Answer: -17*y - 54279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c - 23 = 17 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**0\/j)**9*(j**(-2\/3))**5)\/((j\/(j*j**1))**(-1\/7)\/(j*(j\/(j*j**1)*j)\/j*j*j**4)) assuming j is positive.\nAnswer: j**(-157\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 54 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r**3 - r**3 + 2*r**3)*(-4 - 8*r**2 + 10*r**2 - 4).\nAnswer: 6*r**5 - 24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*y**2 - 5 + 765*y + 6 - 2 - 6 + 3.\nAnswer: 2*y**2 + 765*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 325 or 0.886?\nAnswer: 325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from oykdg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of -3 and 495.18.\nAnswer: -1485.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 2, l: 1, n: 1, j: 2}. What is prob of picking 1 j and 1 z?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 268 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -176 - -176. Suppose 4*d - 4*k + 28 = f, 2*d - 18 = -3*k - 22. Do d and -74\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:21 AM and 10:20 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 - -4. Suppose 2*r + 3*r + 15 = m. What is the units digit of (-3)\/((-2)\/(-4)*r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 48 - -61. Suppose t - 103 = 2*h. Which is the closest to h? (a) 1\/8 (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 98 and 0.02 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*s + j + 14594, 3*s + 24*j - 28*j - 8753 = 0. Let k be s\/(-630) + 6 - (-4)\/30. Find g such that 33\/2*g**2 - k*g + 0 + 75\/2*g**4 - 105\/2*g**3 = 0.\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*o**2 + 2*o**2 - 2*o**3 + o + 19 + 44 - 57 to the form j*o**3 + u + n*o + m*o**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y + 5. Let v be z(2). Suppose -v*m + 45 = -2*m. What is the highest common factor of 18 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.28565427 rounded to 4 decimal places?\nAnswer: 0.2857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51*m - 55*m = 0. Let v(s) = -s**2 - s + 3. Let p be v(m). Suppose 576 = 3*x + p*w, 0 = 2*x - 2*w + 6*w - 392. Is 47 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z = 13 - 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 83*b + 17. What is the tens digit of o(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1302246 divided by -1.\nAnswer: -1302246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-1)\/(-3))\/(5\/150). Suppose 3*k = -5*i + 17, -5*k + p + 1 = 4*i. Calculate the remainder when i is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:23 AM and 3:02 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 3, t: 4, w: 3, s: 2, d: 2, c: 4}. What is prob of sequence tt?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -289*o**3 + 13*o**2 + 478*o + 18700728?\nAnswer: -867*o**2 + 26*o + 478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 2617*s - 110000. Calculate b(42).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -5, 1307\/4, 5, 0.1.\nAnswer: -8, -5, 0.1, 5, 1307\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 72046273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (437913*t - 852*t**4 - 437913*t)*(2 + 2 - 2 + (1 - 2 + 3)*(2 + 0 + 0) + 2 - 5 + 1 - 4 + 3 + 0).\nAnswer: -2556*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2736 (b) 6 (c) 247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -11*p**3 - 49*p**2 + 366*p + 35. Give a(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 11 - 19. Let v(y) = y**2 + 7*y + 8. Let i be v(h). Let p = i + -14. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -39*t + 87 - 87 - 48*t as b + u*t and give u.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -2327*b - 1. Let g be n(-1). Let v = -3452 + g. Let a = -11233\/10 - v. What is the common denominator of 47\/10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 11*z**3 - 9*z**2 - 9*z. Let x = 14 + -23. Let j(v) = -5*v**3 + 4*v**2 + 4*v. What is x*j(m) - 4*s(m)?\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q*q**5)\/(q\/(q\/(q**(-9)*q)))*q**(-2\/17)*q\/q**7)**(-2\/3) assuming q is positive.\nAnswer: q**(-302\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) be the third derivative of r**6\/240 - r**5\/30 - r**4\/48 + r**3\/3 - 53*r**2. Factor g(w).\nAnswer: (w - 4)*(w - 1)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {a: 5, i: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 3*n - n + 2*n - 3*n - n**3. Determine m(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**3 + 158*t**2 + 3938*t + 67. What is w(-31)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 16 in 4, 2\/27, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -10.1, -3, -2\/3, 3, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 77*r = 81*r. What is the lowest common multiple of 6 - r\/(1 + 0) and -2 + 2 - (-20)\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 9*(-1)\/(-3) - 22. Let a = -16 - b. Suppose -2*v = 3*c - 29408, 12419 + 7169 = 2*c - a*v. What is c rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -441224 or -5?\nAnswer: -441224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2314425 - -1542?\nAnswer: -2312443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) be the first derivative of -h**5 - 210*h**2 - 110\/3*h**3 + 35 + 15*h**4 - 245*h. Factor z(c).\nAnswer: -5*(c - 7)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-320)\/15)\/(-16)*1\/(-2)*-3459 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -32 + 34. Suppose 4*j - 359 = l, 0 = -5*j - 5*l + 432 - a. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -44\/70705 and 43\/3051375.\nAnswer: 546196125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*g - 5250 = -14970. Suppose -3*k + 28 + 8 = 0. What is the highest common divisor of k and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 26*(-2)\/(32\/(-168)). Let i be 156\/f*(-574)\/(-4). Put i, 1, 2, -1 in ascending order.\nAnswer: -1, 1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 335206, 1340823, 3016852, 5363293, 8380146?\n\"Answer: 335206*h**2 - h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -141.0716 to 1 dp.\nAnswer: -141.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 95935 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - 2\/3*c**2 + 1\/6*c**3 + 1\/2*c.\nAnswer: c*(c - 3)*(c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2330556 grams in nanograms?\nAnswer: 233055600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.7? (a) -0.3 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -7 + (-5 - (-4 + -4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 0 + 7)*((0*h - h + 3*h)*(3 - 1 - 4) - 4*h - h + 4*h - 10*h + 11*h - 9*h) + (-1 - 2 + 1)*(-2 - h + 2) - 3*h + 2*h - 2*h as m + o*h and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-4)\/6)\/((-28)\/378). Let q(x) = x**3 - 8*x**2 - 9*x + 9. Let i be q(a). What is the common denominator of (-74)\/i - 16\/(-72) and -61\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 926.5331t to micrograms.\nAnswer: 926533100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -2*i**3 - 13*i**2 + 11*i - 3. Is y(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 8 - 5 - 159*j**2 - 3 in the form r + p*j**2 + m*j and give p.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 45400898 to the power of 1\/2, to the nearest integer?\nAnswer: 6738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 876740 and 7.\nAnswer: 6137180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 11, 31, -0.01, 2\/5, 4, -4.\nAnswer: -7, -4, -0.01, 2\/5, 4, 11, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13026140.\nAnswer: 2, 5, 67, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, h: 1, n: 6, b: 3, y: 4}. Give prob of sequence bjb.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -15 - 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/(-2) + (2 - 2). Let i be f\/5 + (-18)\/(-210). Find t such that 0*t + i*t**5 + 0*t**4 + 0 - 2\/7*t**3 + 0*t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8, -6, -56, -166, -360, -662, -1096, -1686?\nAnswer: -2456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the first derivative of -d**4\/78 - d**3\/13 - 2*d**2\/13 - 16*d - 14. Let n(a) be the first derivative of s(a). Find k, given that n(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22753201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*s - 38 = 11*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = 1 + 5. Let l(t) = 2*t + 3*t**2 + 4*t**2 - 4*t**o. Let d(f) = 7*f**2 + 5*f. Determine 2*d(c) - 5*l(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-42))\/((3504\/(-32))\/219).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 113423?\nAnswer: 101, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -5*i**2 - i + 2. Let f(b) = -36*b - 4. Let p be f(-1). Let x = -29 + p. Let r(y) = 11*y**2 + 2*y - 3. Let w(j) = x*r(j) + 5*s(j). Give w(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8185*y - 8185*y = -4*k, 3*y - 4*k + 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/(-12))\/((-14)\/36)*7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -c**3 + 3*c**2 + 61*c - 14. What is g(9)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (4\/(-28))\/((-2)\/98). Let a(v) = p*v + 11*v - 15*v. Let l(t) = -34*t**2. Calculate a(l(k)).\nAnswer: -102*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 1 * -30129.42\nAnswer: -30129.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -3 times -106\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4038 + -4037. Suppose -g = 4*g + 40. Let x be (-9)\/(-1 - -4) - g. Put r, 4, x in ascending order.\nAnswer: r, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*f + 20 = 31*f. Let y(k) = -k - 13. Let d be y(f). Which is the closest to 0? (a) 2\/3 (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (0 - -12)\/(6\/4). Let f(u) = -i*u - 6*u + u. Calculate the remainder when f(-2) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 62390*m - 62387*m + 1 = -2*y, -20*m = 4*y + 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 45734 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 34 + (2020 - 2047) - (1 - 32)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 58 + 12.8?\nAnswer: 70.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 13380509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 75 = 2*p + 3*p, g = 4. Suppose 2 = 3*d - 4. Let m = d + 2. Solve s - 10 - p = 4*h, -4*s + m = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*w - 3*p - 2 = -2*w, -16 = 4*p. Factor -5*l**2 + w + 7*l - 5 - 57*l**3 + 58*l**3.\nAnswer: (l - 3)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -2*y**3 + 131*y**2 - 69*y + 180. Calculate a(65).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2108463 and 21?\nAnswer: 2108463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-10)\/12 + (-725)\/(-780). Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 2 r, and 1 g when four letters picked without replacement from {i: 1, r: 2, g: 2, x: 1, v: 1, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 792 = 185*h - 152*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -j*t + 3385*j - 9*t**3 + 2469*t - 18 with respect to t.\nAnswer: -j - 27*t**2 + 2469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3134, -3052, -2828, -2390, -1666, -584, 928, 2942?\nAnswer: 5530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-359*i**3 + 188*i**3 + 334*i + 174*i**3)*(-2*i**2 + i**2 + 3*i**2).\nAnswer: 6*i**5 + 668*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -s = 2455*i - 2459*i - 10, 3*s - i = 19 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 0.5 + 81.4\nAnswer: 81.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p**4 - 15*p**4 + 9*p**3 - 6*p**3)*(13 - 13 + 2*p).\nAnswer: -30*p**5 + 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k + 0*k - 24 = 4*l, -85 = 2*l + 87 - 158 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 18 + -11. Suppose u + 1 = 2*h, -u = -4*u + 4*h + 7. Let q = j + u. Solve -41 = -5*x - q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**3 - 90*t**2 + 171*t - 1194. Calculate p(-92).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -236*18.354.\nAnswer: -4331.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -21*x - 65*x + 344 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 836 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 305286147 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 32 = -2*r + 2*z, -295*r + 4*z = -297*r - 62 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.06313649 and 5.\nAnswer: 4.93686351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 374723 * -2.\nAnswer: -749446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.08 - -0.1. Let g = l - -2.98. Let v(f) = f**2 + 4*f + 1. Let x be v(-4). What is the closest to -4 in g, -2\/9, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(363) + 3 - sqrt(363))**2*-1*6 + 3 + 0 + -5.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -2*a**2 - 5*a + 12. Determine b(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k be (30\/75)\/((-1)\/10). Let h be 3136\/(-539) - k\/(-22). Let w(b) be the third derivative of b**6\/120 + b**5\/10 + b**4\/24 + b**3\/2 - 2*b**2. Calculate w(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2366 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-9)\/(-36) - 3\/12. Which is the fourth biggest value? (a) -0.5 (b) 3 (c) -0.3 (d) r (e) 54\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 146674 is divided by 649?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 1*-2 - (6 - 2 - 16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -16? (a) 5 (b) 2 (c) -8862.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*v = 3*v - 18. Let g = -16 + 18. Which is the nearest to 2\/5? (a) g (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2557 (base 8) to base 3\nAnswer: -1220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -657480\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.5 and 7688.32105?\nAnswer: 7687.82105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24872.\nAnswer: 2, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -116 in 0.5, 0, -0.11, -1\/3074?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 576051507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 73*i**3 - 21*i**3 - 33*i**3.\nAnswer: 19*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u - 14 - 21 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20424\/296 - 6046\/88 - (-6)\/(-22).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2 - 1 - 0 - -1. Suppose -4*m = 2*o - 10, 5*o - o - 12 = -4*m. Suppose -3*z - k = -t*z + 59996, 2*k - 120008 = m*z. Round z to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -749, -1507, -2265, -3023, -3781?\nAnswer: -4539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.0578 * 27.\nAnswer: -1.5606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**2 + 174*i + 77. Calculate v(0).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 12*f**2. Let y(t) = 750*t**2 - 1. Give m(y(v)).\nAnswer: 6750000*v**4 - 18000*v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2411219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18029400 divided by 3.\nAnswer: 6009800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 2) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*k - 6*k - 81. Let r be (11\/33)\/(-3*(-1)\/k). Solve 4*i = r*i + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(96)*1*5)\/(sqrt(24)\/(sqrt(4)\/sqrt(2) + sqrt(2))*5).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 171*r - 37*r - 5*v = -481, -5*r + 24 = -4*v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(5 + (sqrt(19) - -1*(1*sqrt(19) + sqrt(19)) - sqrt(19)) + (sqrt(1900) - (sqrt(1900) + -1)**2)).\nAnswer: -192*sqrt(19) + 11376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*s - 56*s = 9534. Let q = -215 - s. What is the remainder when 273 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -42 - -42. Let y(o) = -1 - 3 + 0*o**2 + o**2. What is y(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -13 + 15. Suppose 0 = -2*n + t*l + 26, -3*l = 4*n - 11 - 6. Suppose 6*y = n*y - 10. Solve -3*u - 4 = -2*q + 6, 0 = q + 2*u - y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 168 = -4*y + 7*a, 0 = 5*y + 4*a - 192. Suppose 10*l - y = 8*l. Calculate the highest common factor of l and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 610 divided by 5\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand l - l + 2*l**5 + (-2*l + 2 - 2)*(-l**4 - l**2 + l**2) + 45537*l**5 - 2262428717 + 2262428717.\nAnswer: 45541*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2090 and 3344?\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -240001*s + 2. Let i be ((-32)\/40)\/(4\/(-10)). Suppose i*q - 10 = -3*q. Let b be x(q). What is b rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-56)\/(-42)*(-18)\/(-4). Let t be (-1)\/(-1)*(-5 + 51 + q). Find the third derivative of -3*v**4 + 52 - t - 8*v**2 wrt v.\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -7*v - 5. Let g(k) = k**2 - 6*k - 4. Let o(r) = 5*g(r) - 4*i(r). Is 5 a factor of o(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 2*c**2. Let k be (-5)\/(1 - (3 - 1)). Let u(j) be the third derivative of 0*j**3 - j**2 + 0*j + 0 + 1\/30*j**k + 0*j**4. Determine u(n(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -15*o*s**2 - 3*o*s - 38*s**2 - 204*s wrt s.\nAnswer: -30*o - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*i + 117 = -5*q, 3*i + 826247 = q + 826268 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 31, -3, -4, 3 in increasing order.\nAnswer: -4, -3, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 2*o + 4*b + 11 = 0, -3*o + 20 = b. Let a = 19 - o. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/18*30\/(-10)*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 3*d - 8. Suppose d*m = -0*m. Let k be (-3)\/((4\/(-6))\/1 + 1). Sort m, k, 2.\nAnswer: k, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2749981000 to the nearest 1000000.\nAnswer: 2750000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6444?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 823998 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 662 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -10*r + 6. Let u be a(-1). Suppose v - 9 - u = 0. Suppose -26*q + v*q = -153. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -30, -16, 0, 18, 38?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0*(-1)\/2)\/1. Solve -9 = -3*n - k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (104\/(-624) + 749\/30)*(-80)\/(-2). What is the greatest common factor of 31 and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6\/5? (a) -19 (b) -26\/3 (c) -0.8 (d) 0.3 (e) 1\/6 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the third derivative of -x**4\/12 + 8*x**3 - 22*x**2. Let a be y(14). Suppose -13*i + a*i - 42 = 0. Solve l = n + 8, -n - 2*l = -1 - i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 4 - 1 + 2 - 2 + 1 + 1 + 1 - 4 + (2 - 5 + 5)*(-2 - 1 + 5) + 2 + 3 - 6 + 0 + 3 - 1 - 1 + 1 + 1 - 6 + 5 + 11)*(-m**2 - 3*m + 3*m).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 133200112331 + -32?\nAnswer: 133200112233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/(-5)*(23 - (-13 - 102\/18))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -19 - -11. What is the remainder when (-111)\/(-2) - a\/16 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 2*sqrt(405)*2 + (-2*(5 + sqrt(245) + 1 - sqrt(245)))**2.\nAnswer: 36*sqrt(5) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -117\/20 and -125\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*b + 32 = 28*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) -113 (c) 2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 277747 = 5*m - 3*p + 80204, 4*p + 158028 = 4*m. What is the ten thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -73*t**4 + 12*t**2 + 5*t + 5249 wrt t?\nAnswer: -292*t**3 + 24*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72 = 32*f + 56. Let y(g) = -9*g + 4. Let b(u) = 143*u - 65. Give f*b(d) - 65*y(d).\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.14 - -0.04. Let m be 2\/(-4)*4\/(-5). Sort f, m, 1\/5 in increasing order.\nAnswer: f, 1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j**5\/3 - 3100*j**4\/3 - 10400*j**3 = 0. Calculate j.\nAnswer: -10, 0, 1560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 303102, 2424781, 8183622, 19398207, 37887118?\nAnswer: 65468937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 5\/9, -4, -217 in increasing order.\nAnswer: -217, -4, 5\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(136)\/sqrt(8))**2*2 - sqrt(119)\/(sqrt(42)\/sqrt(6)) - (-1 + -1*-2*sqrt(612))**2.\nAnswer: -2415 + 23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 418963651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 19\/(1482\/12)*-1\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 + -6. Let d(q) = q**4 - 5*q**3 + 4*q**2 - 4*q + 4. Let u(k) = -k**4 + 6*k**3 - 5*k**2 + 5*k - 5. Let i(h) = s*u(h) - 5*d(h). Let i(j) = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 58754 to the nearest one thousand.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s**2\/23 + 201088*s\/23 - 5054547968\/23 = 0. Calculate s.\nAnswer: 50272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 983.63 times 3\nAnswer: 2950.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 54 + -61 + (-7 - -3) + 71 + 5.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-2))\/((-5)\/5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be -2 + 3 - (0 + 9). Let o(w) be the third derivative of w**5\/60 + 5*w**4\/12 + 8*w**3\/3 - 2*w**2 + 1621*w. Let a be o(i). Solve 3*h + h - 8 = a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 - 5*r + 1 + 4*r + 2*r - 4*r - 3*r + r + 0*r + 3 - 2*r - 3 + (-3 + 4 + 0)*(0*r + r + 0*r) - 2 + 2 + 2*r + (4 - 4 + 3*r)*(-2 + 0 + 0).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 392996105.\nAnswer: 5, 78599221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1022710 is divided by 172.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 33\/164 and 23\/928.\nAnswer: 38048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 + 9 = -3*u, 0 = -4*o - 5*u + 77. Suppose -5*b - o = -c, -5*b = -3*c + 7*c - 2. Solve 4*z = 0, -3*k - 5*z + 2*z - c = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -2a39a9 (base 16) to base 7\nAnswer: -32343565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (i**4 + 0*i**4 + i**4)*(-7*i + i + 3*i)*(2 + 0 + 0).\nAnswer: -12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 78294303?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -1990000 rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 33 and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -2496, 37, -1891 in decreasing order.\nAnswer: 37, -1891, -2496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 8 - 10*h - 8*h - 5*h + 25*h**2 + 23*h in the form t + w*h + m*h**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -213*s - 6894. What is the units digit of v(-151)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2692 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 66*p**2 - p + 1. What are the prime factors of t(-4)?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 67770 divided by -13554?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 38873273.\nAnswer: 37, 173, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the first derivative of 5*s**2 - 15*s + 2913. What is p(7)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*d - 5*d + 5*s - 60, -5*s = d + 6. Let g = 6 + d. Let n = -46 + 232\/5. What is the second biggest value in g, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m + 213*m = 878*m + 380*m + 127978 for m.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 824575 - 87*d**2 + d - 824575.\nAnswer: -87*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 3*g + 2*l, -7*g - l + 13 = -2*g. Suppose 2*t - 1 = g. Solve 2*b + 2*b + 3*n = 7, t*n = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 - -10. Suppose -1 = -u - 4. Put h, 4, u in descending order.\nAnswer: 4, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34032.\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*x + 13*x + 50. Let k = -143.2 + 140.2. Which is the third smallest value? (a) x (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -11 - (-8 - -7) - -13. Put y, 4, -730 in decreasing order.\nAnswer: 4, y, -730","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -59 + 99. Let c = t + -29. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 633 (b) -4 (c) 2\/9 (d) 2\/13 (e) 2916\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5521 + -8314. Let l(f) = -4199*f**2 - 2*f + 4. Let a be l(3). Let s = a - z. What is s rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (138 - 243)*(-10)\/7 is divided by 69?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 289160 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 5*(-5)\/(-10)*1*(-8)\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32090.\nAnswer: 2, 5, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 11 = -2*r. Let u = -1 - -5. Let s = -101\/3 - -33. What is the smallest value in s, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 3, m: 4, i: 2, y: 1, n: 3, k: 2}. What is prob of sequence ym?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2325637 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3, 2528, -297?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 454.9731 - 455. Round g to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 398348, 1593397, 3585144, 6373589, 9958732, 14340573, 19519112?\nAnswer: 25494349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*v + 35 = -v. Let r be (6 + 1)*2\/v. Solve -4*h = 5*x - 29, h - 19 - r = -4*x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**3 + 2*j**2 - 1. Let z be u(1). Sort z, -1, -2, -5.\nAnswer: -5, -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/(-2))\/(3\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 151 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) 7 (b) -4 (c) 0.12 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 2, u: 5, a: 4}. What is prob of picking 3 y and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 460304 and 416.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 5 take away -134.9?\nAnswer: 139.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 9785 to the nearest 100.\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 68727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.291, 4\/7, 6, 4, -4, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) -0.2 (b) 2\/11 (c) 2\/15 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 - -37?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 1.18*-28.595\nAnswer: -33.7421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/5, -32, -0.4, 2 in increasing order.\nAnswer: -32, -0.4, -1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 13*x - 322. Let q be i(34). Determine n, given that 6*n**3 + 48*n**3 - 8*n**3 + 0*n**3 - q*n + 45*n**2 + 9*n**3 + 20 = 0.\nAnswer: -2, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h\/(h\/(h\/(h\/(h\/h**(-1))))))\/h*h*h\/(h\/(h**3*h))*h**(-5)*h**(-2\/5))\/((h*(h**(-8)\/h)\/h)\/(h*h**(3\/11))*h**(-4)*h**(1\/2)) assuming h is positive.\nAnswer: h**(1691\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 0.03, -14, 5, 3\/8?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 51 = q - 4*q, -5*c = -2*q - 106. Let v(o) be the second derivative of 1\/20*o**5 + 0 + 1\/12*o**4 + c*o - 1\/6*o**3 - 1\/2*o**2. Give v(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 10 = 2*v, -2*j + 4 + 8 = -2*v. Suppose -3*s = -5*w + 55, 5*s + 40 = -j*w - 31. Let l = 20 + s. Solve -f + l = 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4811de (base 15) to base 11.\nAnswer: -1a44299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9)\/((-396)\/(-11)))\/(2\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 113 + -112. Let r be n*1\/(-3) - (-26)\/6. Solve -r*z + 24 = 2*o + o, 0 = -2*z + 4*o - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/(-6)*225\/525. Which is the smallest value? (a) 0.4 (b) 0.5 (c) 5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 8*u**2 - 4*u - 6. Let w be t(-4). Let j(c) = w*c**2 - 2*c + 1 - 52*c**2 - 43*c**2 - 39*c**2. Let n = -5 + 6. Determine j(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00073989 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 13*w**5 + 31*w**5 - w**3 + w**3 - w**5 + 0*w**5 + 2*w**5 + (-7*w**3 + 2*w**3 + 3*w**3)*(-4*w**2 + w**2 + 4*w**2) + 0*w**5 - 3*w**5 + 2*w**5.\nAnswer: 42*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 362*n - 1076. Determine l(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**2 + 204*m - 202.\nAnswer: -2*(m - 101)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21720693.\nAnswer: 3, 41, 176591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 150 by -75.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1134442t to milligrams.\nAnswer: 113444200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*u + 4*u + 11*u + (-4 + 2 + 4)*(4*u + 0*u - 3*u) + (-2*u - u + u)*(-2 + 3 - 3) to the form h + p*u and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 9 - -13a8?\nAnswer: 13b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z be (18\/9)\/((-14)\/6 + 3). Let w(h) = 10*h**2 + 1. Let q be w(1). Let o = z + q. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 545.4024692 to one decimal place.\nAnswer: 545.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 13556+-712.872425\nAnswer: 12843.127575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 - ((0 - 2 - -2) + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 + -4 + -15 + 19 + (-9 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange a + 4*a + 4*a + (4 - 4 + 2)*(-2*a + 2*a + 2*a) + 5*a - 2 + 2 + 29*a - 13*a + 32*a + (-1 - 1 + 3)*(2*a - 1 + 1) to p + m*a and give m.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -6*q**3 - q**2 + q. Let s be u(1). Let l = s + 4. Let v be (-4)\/(l*2\/12). Solve 5*b + v = 4*w, 2*b - 5*w = -3*b - 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -3, -3\/7, -23.2, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71*m = -92*m + 756. Calculate the greatest common divisor of 1161 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 58*q + 5686. What is the remainder when j(-82) is divided by 155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (8 - (-1 + 7 + -6)) + 6 - (24 + -32)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*g**3 + 15*g**3 + 12*g**3 + 214*g**3 + 3464 - 3464 + (-2*g**3 + 4*g**3 - 3*g**3)*(-1 - 2 + 1) to the form v*g + b*g**2 + i + s*g**3 and give s.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8 and 1912.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00203411 to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*r**2 + 2*r**2 + 20*r**2.\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*o - 34*o = -172. Calculate the highest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16919513?\nAnswer: 13, 23, 71, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 13*c**2*k**2*p - 9*c**2*k - 4*c**2*p + c*k**2 + 2*c*k*p + 65*c*p - 5*k**2*p + 2 wrt c?\nAnswer: 26*k**2*p - 18*k - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p + 3*p - 4*p)*(-p - 25 + 33 + 3*p).\nAnswer: -4*p**2 - 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -42 + 41. Is r <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2, 39.52529, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 29976 divided by 4\nAnswer: 7494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 341347137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-6)\/(-4)*(-3 - 3). Let i be 6\/c + 0 + (-1)\/3. Is i greater than 1\/195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**2*t**5)\/(t**(-2\/15)*t**(-1\/10)) assuming t is positive.\nAnswer: t**(217\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f + 25 = -3*f, 5*f + 22 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 897*w**2 + 93*w - 2111. Is x(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 10 + 20 - g - 30. Let r(p) = 0*p - 3 - 5*p + 6. Let f(m) = -4*m + 2. Let a(l) = 3*f(l) - 2*r(l). Calculate a(t(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.056? (a) -3\/7 (b) 2\/13 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -132\/13 + 608\/65. Let k = 21 - 28. Let o be k\/(-5) - (3 - 1). Which is the closest to 0.1? (a) h (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 5, 0, 1\/4, -76, 18, -13\/4?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the second derivative of m**4\/42 + 5*m**3\/7 - 22*m. Factor y(l).\nAnswer: 2*l*(l + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -122 (base 6) in base 12?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 130782 and 18?\nAnswer: 392346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 18? (a) -63 (b) 4 (c) 1\/8 (d) 5 (e) 25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-700)\/32 + 7 - -8) + 7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**(-4)\/v*v\/v**2*(v**1\/v)\/(v\/(v*v\/v**7)))**(-4\/21) assuming v is positive.\nAnswer: v**(44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 21775166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r**3\/2 + 140*r**2 + 1250*r + 1920 = 0.\nAnswer: -6, -2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 5, -3, 18 in descending order.\nAnswer: 18, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be 21888\/(-192)*(-2)\/(-3). Is -70 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*n + 49*n - 24 = 0. Suppose 2*k + 5*x + 6 = x, 0 = 4*k + 5*x - 3. Solve -n*q = -k*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3383*i = 3388*i + 3*n - 28, 3*n = -4*i + 23 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -4*(63\/308)\/(-3)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 1*sqrt(128))**2 + sqrt(128).\nAnswer: 72*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*x - 6 = 6*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 966\/5 or 192?\nAnswer: 966\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -512 + 10751\/21. Let p = -53\/210 + z. What is the common denominator of 95\/12 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 32301*c**3*o**2 + 7*c**3*o + c**3 + 67*c**2*o**2 + 10*c**2*o - 45*c**2 - c*o**2 + o wrt c.\nAnswer: 193806*o**2 + 42*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 3, l: 4, c: 2, f: 1, s: 2}. What is prob of picking 1 d and 2 l?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3 + 12332022?\nAnswer: 12332015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 7, 15, 15, 1, -33, -93, -185, -315?\n\"Answer: -j**3 + 2*j**2 + 9*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/4 - (-15)\/108. Let c = 38.214 - 0.014. Let l = 38 - c. Is m at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*s**3 - 3*s**3 - 7*s**3)*(22 - 102 - 93)*(-1 + 1 - 2*s) in the form a*s**3 + t + o*s + x*s**2 + u*s**4 and give u.\nAnswer: -2768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -273*z + 8040 = 386*z - 2504 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = -4*d - 661 + 8770, 3*d - 6108 = -3*v. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1299*y + 144 - 602 - 322 + 51.\nAnswer: -1299*y - 729","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 38095?\nAnswer: 5, 19, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1742140429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 128 and 384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the first derivative of p**2\/2 + 31*p - 2. What is the remainder when r(-13) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = -8*q - 15. Let r be 13*2*(-4)\/(-16). Let g = -7 + r. Is q greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35538131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {s: 2, u: 1, h: 1, m: 2, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = o**3 - 64*o**2 + 182*o + 64. Let v be c(61). Determine m, given that -18\/17*m + 18\/17 - 2\/17*m**2 + 2\/17*m**v = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 1 - 2*z)*(1053 - 1865 + 2563) - 2*z + z + 3*z - 4*z + 1 - 1 to the form j + u*z and give u.\nAnswer: -3504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) be the third derivative of 0*b + 1000\/9*b**3 - b**2 + 47 - 1\/1440*b**6 + 1\/12*b**5 - 25\/6*b**4. Factor o(d).\nAnswer: -(d - 20)**3\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the third derivative of 0 + 0*s**3 + 7\/6*s**4 + 9\/20*s**5 + 0*s - 26*s**2. Find the second derivative of p(u) wrt u.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 + 4. Suppose -2*n - 2 = -z*n. Let -u**3 + 3\/2*u**2 - 3\/4*u**5 - n*u**4 + 7\/4*u + 1\/2 = 0. Calculate u.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2664718070 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -21*w**3 - w - 1. Suppose -6*l - 3 = -3*l. What is the units digit of b(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**3 + 7*m**2 - 11*m + 10. Let l be a(-8). What are the prime factors of ((-254)\/136 + 4\/l)*-68?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*l**2 + 0*l**2 - 2*l**2 - 16*l**2 - 23 + 23 + l**2 - 3*l**2 - l**2 + (-3*l**2 - l**2 + 0*l**2)*(0 - 2 + 3).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -479, -956, -1433, -1910, -2387, -2864?\nAnswer: -3341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**2 + 2*j + 4. Let d be r(-3). Let l be (6\/10)\/(d\/35). Let k = 0.3 - 0.5. What is the smallest value in -4, k, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1829 + -1807. Calculate the least common multiple of i and 326.\nAnswer: 3586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 48\/7 of a week?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Add together 22226071623 and -0.4.\nAnswer: 22226071622.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 3, a: 1, o: 1}. What is prob of picking 3 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 862222705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 1137114000 to the nearest 1000000.\nAnswer: 1137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9)\/(-81) + 44\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -23231 - -3?\nAnswer: -23222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 3879 (base 10) to base 14.\nAnswer: 15b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 2*t = -79*t + 604640. What is the lowest common multiple of 2 and t?\nAnswer: 7558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2833056.\nAnswer: 2, 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 241*m = 4*g + 242*m - 29765, 0 = 5*g + 3*m - 37201. What is the thousands digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 180 and 576.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:08 AM and 6:15 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 2*m - 97 = 3*m, 2*m = -f + 8. Calculate the greatest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 118885429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -516624, -516619, -516610, -516597, -516580, -516559?\n\"Answer: 2*f**2 - f - 516625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -3, -9, -4, 23, -2379 in descending order.\nAnswer: 23, 4, -3, -4, -9, -2379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, 3.2, 16, -3\/5?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -233\/1089 + -1\/121. Let n be 17\/(-85)*10\/(-16)*2. What is the closest to f in -0.4, n, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 141 - 146 = 5*w. Let o be (4\/(-12))\/(78\/81 + w). What is the units digit of (o\/4)\/((-15)\/(-280))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -1472*l - 2046. Does 14 divide c(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes before 8:27 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 291256 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -151\/24876 and -49\/62190?\nAnswer: 124380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 6462 = -8*t + 12*t, 3*g = 2*t - 3203. Is 157 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -20253540 divided by -15\nAnswer: 1350236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -40275, -80557, -120839, -161121?\n\"Answer: -40282*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*2*sqrt(77) + sqrt(77))*6*4)\/(-4*5*sqrt(33)\/sqrt(3)*-6).\nAnswer: -11*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -440 + 454. What is the tens digit of ((-6)\/r)\/((-21)\/26313)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (111\/9)\/1 + (-74)\/(-111). Sort 0, -2, r, -3.\nAnswer: -3, -2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) be the second derivative of h**7\/2520 + 5*h**4\/3 - 7*h. Let b(m) be the third derivative of q(m). Let d(y) = 8*y. Calculate d(b(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 1.3 (b) -0.4 (c) 1\/2 (d) 2\/53 (e) 3\/122 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*f*h*t*x - 2*f*h*x**2 + f*h*x + 10*f*t*x**2 + 4*f*t - 84*h*t*x + 7*h*x**2 + t wrt x.\nAnswer: -4*f*h + 20*f*t + 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -15*v**2 - 21*v + 22. Let x be d(-2). Solve -12 = -i + 2*o, -3*i - 3*o = x + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 564946.99934 - 564870. Let t = -13.8 - -90.8. Let g = t - l. What is g rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that -20*b**2\/7 + 36088*b\/7 + 21660\/7 = 0.\nAnswer: -3\/5, 1805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 6176724 a multiple of 941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 139 minutes before 11:46 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -9? (a) -2\/3 (b) -903648 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 6636523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -4*h. Let m be v(-1). Suppose -c = 5*l - 123, -c + 0*c = m*l - 98. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 5*h**2 - 25*h + 14. Let w be c(4). List the prime factors of (-8)\/w*(-291)\/(-2).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 327 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 18*l + 12. Let m be p(7). What is m rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1221012310 (base 4) to base 3.\nAnswer: -210212120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 5*x - 5*m = -20, -x + 5 = -3*m. Find the second derivative of 4*i**5 - 5*i**5 + 11*i + x*i**5 - 2*i wrt i.\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -0.04, -1, 2\/103?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 2 = -4*p - 12, -4*x + 5*p = -2. Let y be x\/7 - (-44)\/7. Let c(d) = -d**3 + 6*d**2 - d + 3. Determine c(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -317*k. Let f(b) be the third derivative of b**5\/30 + 228*b**2. Give f(z(q)).\nAnswer: 200978*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 - -1.9. Let p = 5 - 4. Let k be 2 - p - (-4)\/(-10). Which is the closest to v? (a) -0.1 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -962 divided by -74\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of -336497 and -41.\nAnswer: 13796377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 121 - -5a81?\nAnswer: 5ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 17866, -2\/7, -2\/27, -1\/6?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1b + 2?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -28*d - 6. Let i(m) = -84*m - 17. Let q(k) = -3*i(k) + 8*n(k). Let y(j) = -1457*j - 155. Let c(b) = -310*q(b) - 6*y(b). Is c(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 8 by 178042.\nAnswer: 4\/89021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -3*u**3 - 17*u**2 + 52*u + 4. Let o be l(-8). What is the greatest common factor of o and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 6, l: 4}. Give prob of sequence ll.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 8) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w*w**(-5\/6)*w**(-15)\/w)**(-45) assuming w is positive.\nAnswer: w**(1335\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand w + 6*w**3 - w - 2*w**3 + 7*w**3 + w**3 + (-3*w - w + 3*w)*(4*w**2 - 4*w**2 + w**2).\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 281457 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/19 (b) 2\/13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*w**5 + 64*w**5 - 2*w**5)*(5 - 1 + 2).\nAnswer: 330*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 329*t - 328*t + 5*k + 28, -2*k - 16 = t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-5)\/(-10) - 21\/2. Let v = f - -14. Let a = -12 + 13. Calculate the greatest common divisor of v and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i - 12. Let p be s(-14). Suppose 4*t + 53 = k, p*k + 3*k - t = 208. List the prime factors of k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 78 - 6. Let r(x) = -2*x**3 + 2*x**2 + x. Let l be r(-1). Suppose -l*g + 120 = 2*g. Calculate the highest common factor of c and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 48257\/6 - 7993. Let k = x + -2209\/48. What is the common denominator of k and 23\/38?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 191430 and 233970?\nAnswer: 2105730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4.4 + 0.6. Let g = 262655 + -262649.999984. Let x = g - z. What is x rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -14*u + 108. Determine y(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (2*-1*sqrt(936))\/(sqrt(6)\/(-5*sqrt(3)*-1)).\nAnswer: -60*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 1067*s - 4835. Let a be w(5). Solve -a*v + 10 = -502*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2071524*j**4 - 2*j**2 - 142759.\nAnswer: -49716576*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 179\/2100 and -173\/1596.\nAnswer: 39900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(1 + (-4*sqrt(152)\/sqrt(4))\/(sqrt(8)*1)).\nAnswer: -1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*p**2 - 551*p + 277*p + 63 + 269*p.\nAnswer: 7*p**2 - 5*p + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 117 minutes after 10:52 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -124161.9884 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -0.7*-2924\nAnswer: 2046.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2, -4, -63045.\nAnswer: -63045, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/125, -1, 4.\nAnswer: -1, -2\/125, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*b + 3*b**2 - 11*b)*(-1 + 12*b - b**2 - 12*b).\nAnswer: -3*b**4 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 13 and 4403711.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the third derivative of 0*f**5 + 0*f - 4*f**2 + 0*f**4 + 1\/60*f**6 + 1\/2*f**3 + 0. Find the first derivative of j(g) wrt g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 75\/1048124 and -57\/149732.\nAnswer: 1048124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2779 + -1380. Suppose -q = -19*s + 2078. What is the remainder when s is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*a**2 - 1 - 271*a**2 - 137*a**2.\nAnswer: -381*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s\/(s\/(s**(4\/3)\/s)))\/(s\/s**4))\/(s*(s**(1\/5)\/s*s)\/s*s**(7\/4)) assuming s is positive.\nAnswer: s**(143\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 18 (b) -0.4 (c) 0.9 (d) -1 (e) -1\/4 (f) -54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w*w**(3\/7)))\/w*w**(-2)*w\/w**(-1)*w**8 assuming w is positive.\nAnswer: w**(46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 404 and 19493?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -14951 + 3137 = -814*p + 15862 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -429*n. Let o(j) = 2*j - 3539. Give o(u(d)).\nAnswer: -858*d - 3539","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*l + 4*h - 5*h - h - 2, 0 = -4*h + 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -3*t + 7. Let r(h) = -2*h + 6. Let x be ((-1)\/(-1))\/(1\/(-5)). Calculate x*r(a) + 4*v(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 3466012 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 d, and 2 h when four letters picked without replacement from hlddhdhdlsdlllhhll?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be (27\/(-15))\/((-4)\/20). Suppose -3*u - 5*j - q = 0, u - j = 2*j + 11. Solve -2*p + 3*p + u = 0, 5*b = -5*p - 25 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2\/48805 - 59200457\/195220. Let g = -303 - w. What is the fourth smallest value in 2\/15, -3, -4\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13786684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5.4 - 4.97. Let o = k + -78.33. Let j = 78 + o. Is j >= -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 49500*f**2 - 9*f - 90. Let p be w(-10). Round p to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 156295 and 3751080.\nAnswer: 3751080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 39908.06 or -83?\nAnswer: 39908.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(((sqrt(300) + -1 + 1 + sqrt(300) - (-5 + sqrt(300) + 0))**2 + ((sqrt(300) + 0 + 2)**2 - (sqrt(300) + 0 + 3 + sqrt(300))))*-4 + -4)*-4.\nAnswer: 5760*sqrt(3) + 30096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/(-17) + 280\/68. Solve 0 = 3*y + 2*v - 5*v + 6, 0 = 3*y + x*v - 29 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f**5 - 76*f**4 - f**3 + 76*f**2 = 0. What is f?\nAnswer: -1, 0, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -18 + b6b?\nAnswer: b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 537635.\nAnswer: 5, 7, 15361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -157258079 - 0.5.\nAnswer: -157258079.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -109 + 119. Solve 0 = 4*a + 12, 0 = y - 4*a - 6 - r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28753*o - 12496*o - 10768*o + 57778*o.\nAnswer: 63267*o","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((-6*sqrt(121)*-2*-2)\/(3*sqrt(88)\/sqrt(200)) + -5)*1.\nAnswer: -160*sqrt(11) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**3 + 11*d**2 + 2*d + 20. Suppose o = -108 + 97. Let g be j(o). What is the units digit of (g - (-1)\/(-1))*(-950)\/57?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3244 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 - -356530?\nAnswer: 356530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -4+-17.9\nAnswer: -21.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4 - -9. What is the third biggest value in -3\/7, -0.1, z?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h*h\/h**(4\/5)*h*h)\/h**(-1\/2))\/(h**0\/(h\/(h*h**(-1\/2)*h))) assuming h is positive.\nAnswer: h**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 36*w - 1114. Determine j(32).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = i**2 - 16*i + 55. Let m(f) = -2*f**2 + 31*f - 110. Let v(b) = -5*l(b) - 2*m(b). What is v(15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*y - 4*y + 0*y)*(3 + 0 - 1)*(-3 + 3 + 3)*(-3 - 16 - 3) + (4*y + 14*y + 6*y)*(-1 + 1 - 2).\nAnswer: -180*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:54 PM and 6:03 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 3696515 a multiple of 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes after 12:13 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 171, -1320, -2811?\n\"Answer: -1491*t + 1662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3748034 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 588222040 to the nearest one million.\nAnswer: 588000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8 - -8.3. Let i = d - 0.5. Suppose 4*q - 15 = -q. Put -1\/8, q, i in descending order.\nAnswer: q, -1\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 8 - 116*v**2 + 60*v**2 + 59*v**2 + 28*v. Is q(-11) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 35 = -x, -3*m + 4*x - 55 = -15. Let n be (8\/m)\/((-8)\/60). Suppose p - n*z = 166, -p + 4*z - 3*z = -150. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*g**3 - 3 + 3 - 15*g**3 + 40*g**3.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -8*f**3 - 14*f - 10. Let l(u) = u**3 + u + 1. Give -10*l(c) - z(c).\nAnswer: -2*c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 269*m + 64 - 64 + (1 - 1 - m)*(-1 + 4 - 2).\nAnswer: 268*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -22958 = -172*z - 26914 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes after 3:51 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1 + -4 - (-32)\/(-1). Suppose -2*k - 3*k = 5. Let x be 0 - 3\/k - 37. Is x at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2771 (base 12) in base 15?\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*g = 201*g - 3*g - 6228 + 1768 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*b + 2*b + 0*b + 0*b + 2*b + 0*b - b - b + 0*b + (-5 + 5 + 1)*(0*b + 3*b - 2*b) - 3*b + 3*b - 2*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-6 - -9) + 2\/1. Suppose -v + 4*d + 7 - 5 = 0, h*v - 5*d = 70. Suppose -z = z - v. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35641.4l in millilitres?\nAnswer: 35641400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6285 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*v + 0*v - 3*v + 14 + 11.\nAnswer: -3*v + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 - -4. Let s = q - 5. Let x be (4\/6)\/((-28)\/(-105)). Put x, s, -3\/4 in decreasing order.\nAnswer: x, -3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) 0.1 (c) 2 (d) -72939 (e) -1 (f) 0.3 (g) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 43 (b) 4 (c) -0.32 (d) 5 (e) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 75 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -38 - 34 = 9*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3.6989 - -3.7. Round b to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/15 (b) -1\/4 (c) -21 (d) 2\/9 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -a8b (base 15) to base 11.\nAnswer: -1875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 129 - 642\/5. Let n be (-2 - -1)\/(7\/(-14)). Are n and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 17, n: 1}. What is prob of sequence llll?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -32577 or -97732\/3?\nAnswer: -97732\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 130 a factor of 9288576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 56848311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 965881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (q - 2*q + 3*q)*(19 - 44 - 31 + (4 + 0 - 6)*(7 + 6 + 6)) to b*q + f and give b.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:40 AM and 1:35 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 15747 + -15756. Let k(m) = -51*m - 9. Let t(u) = 26*u + 4. Calculate f*t(j) - 4*k(j).\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2 + -1)*(-1)\/3)\/((-120)\/72).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c + 2*z - 14 = 0, 86*c - 87*c - 28 = -4*z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 23262765817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 1 = -60. What are the prime factors of m*-3*5\/15?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 68, 12 in ascending order.\nAnswer: 0, 12, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(144)\/sqrt(3) - (sqrt(12) - (sqrt(24)\/sqrt(2) + 3)))**2.\nAnswer: 120*sqrt(3) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*q**4 - 2*q**4 + q**4 + (0*q - q + 0*q)*(3*q**3 - 5*q + 5*q) + (2*q**2 - 2*q**2 - q**2)*(-3*q - q + 2*q)*(2*q + 0 + 0).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6 and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -419 (base 13) to base 9\nAnswer: -855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 5496428\/245*15\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33616 is divided by 8403.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(156) - -5*sqrt(156)*-2 - 4*sqrt(156)*-3)\/(sqrt(972)*-1 + sqrt(12) + sqrt(48)*5) + 0.\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/8566 and -137\/18.\nAnswer: 77094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 3.376527 weeks?\nAnswer: 34035.39216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 2, t: 2, c: 14, s: 1}. Give prob of sequence cc.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 123 is divided by 46?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1231*u - 12*u**2 - 617*u - 614*u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -9 - 6 - 12*n - 24 - 9*n - n**2. Let w be i(-19). What is the tens digit of (w - -3) + (-740)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*m + 66 - 10. Suppose m*h - 20 = 10*h. Solve 0 = 4*i + h + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = 5*h - 0*h - 36, h - w - 3 = 0. Suppose -2*f = 4*x - h, -5*f + 1 = 5*x - 14. Which is the closest to 2\/7? (a) f (b) -2\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 83\/34 and -75\/748.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -46 - -40.2. Let t = n + -0.2. Let q = -6.5 - t. Which is the second smallest value? (a) -0.4 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 117 a factor of 12685169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**35*h**(-13) assuming h is positive.\nAnswer: h**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + -3 + sqrt(847))**2.\nAnswer: 22*sqrt(7) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - 44738.\nAnswer: -44736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.5 (b) -0.4 (c) 30\/13 (d) -0.04 (e) -2\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l + 110 - 50 = -20*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/(-4) + (-2)\/8. Suppose 0 = 9*k - 13*k + 16. Solve 0 = -k*b - m*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 1\/9 (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 49\/1898103 and -14\/9?\nAnswer: 5694309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -21995263*v*w + 30700422*v with respect to w.\nAnswer: -21995263*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -31 (base 13) to base 4\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.05, 2, -10\/173?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.87 and -39.3?\nAnswer: 40.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j - 36 = -3*p, -153*p + 78*p + 71*p + 3*j + 37 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -2996, -12130, -27412, -48842, -76420?\n\"Answer: -3074*a**2 + 88*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1595688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gggx when four letters picked without replacement from {g: 15, x: 5}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(96)*-2)\/(-2*sqrt(432)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 1 - ((77 - 83) + 3 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -9504*t**2 + 446*t - 19. Let y(w) = -3168*w**2 + 147*w - 5. Let r(j) = -3*b(j) + 10*y(j). What is the second derivative of r(u) wrt u?\nAnswer: -6336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c - 1. Let l(r) = 3*r - 9. Suppose -b + 2*j + 10 = 5*j, -3*j = -2*b - 7. Let p(t) = b*l(t) + 2*a(t). Let f be p(3). Which is smaller: 17\/5 or f?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 68 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o + 3*x + 18, 2*x + 12 = 2*o + 4. Suppose 5*w - 5*i + 330 = -0*i, -233 = o*w + 4*i. Let c = w + 125. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 54967535 is divided by 117.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (27\/6)\/(10\/(160\/24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2.5 + 3. Let x = 0.01 + 13.99. Let m = x - 15. What is the second smallest value in m, a, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xsxspxjjxppxxcxxxj. Give prob of picking 1 s and 1 x.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.4 + -0.4. Let v = 0 + u. What is the closest to v in 0.1, 2, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16057.\nAnswer: 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from babbbzbzzbzzbz. What is prob of picking 3 b?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 7483.333 micrometers?\nAnswer: 7.483333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 0*p**2 + 2*p**2 + 3*p**3 - 2*p**3. Suppose 0 = x - 3*x - 4. Calculate d(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiii. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the first derivative of 1\/3*t**3 + 10*t + 219 - 3*t**2. What is p(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 634 minutes before 7:53 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.3, -0.21, -0.2, -4, 3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**2 - 180*d + 7946. What is y(102)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 58*w**2 + 2*w - 1. Let u be k(1). Let o = u - 30. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 22455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-m - 37 - 3*m + 39)*((-1 - 1 + 0)*(-3 - 3 + 8) + 1 - 6 - 1 - 3 + 0 + 2 + (-6 + 3 + 2)*(3 - 1 - 4) + 2 + 0 + 0 - 4 + 3 - 2).\nAnswer: 40*m - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Add together 41779 and -15.645.\nAnswer: 41763.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0020263 to 5 dps.\nAnswer: 0.00203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 3*b - 39866, 21*b - 26610 = 19*b - 4*r. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 19*w**3 - w**2 - w - 1. Let m be i(2). Let g = -69 + m. What are the prime factors of (-2)\/(g\/40 + -2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 3, h: 2, g: 4}. Give prob of picking 2 h, 1 s, and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**5\/3 - 46*t**4\/3 + 196*t**3\/3 - 200*t**2\/3.\nAnswer: -t**2*(t - 2)**2*(t + 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 6*f - 2*f = 20, -5*o + 3*f - 2 = 0. Suppose -166 = -2*s - 4*a, -7*s = -3*s - o*a - 372. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 574*c + 471*c - 6 + 7 + 461*c - 1509*c.\nAnswer: -3*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 480 or 302?\nAnswer: 302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -7*z**3 + 32*z**2 + 29*z - 71. Let v be n(5). What is the biggest value in -0.03, v, -157?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.05718? (a) -1\/4 (b) 0 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 15*r**3 - 28*r**2 - 236*r - 576. Let z(y) = 4*y**3 + y. Let g(l) = u(l) - 4*z(l). Factor g(k).\nAnswer: -(k + 4)*(k + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*w**2 + 135*w + 282.\nAnswer: -3*(w - 47)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2138*k + 4035*k - 2 + 4985*k.\nAnswer: 6882*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1\/4)\/((-498)\/120 - -4). Put 3, f, 5 in decreasing order.\nAnswer: 5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and 0.11427914?\nAnswer: 0.34283742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 137234 - 28351 = -2855*q - 36722 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add -239.6605751654 and -6.\nAnswer: -245.6605751654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1098*o + 5798*o + 10976*o - 1535*o + 8189*o to the form u + d*o and give d.\nAnswer: 22330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/5 of a century in years?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -35 - (-3 + -1 + 14 + (3 - (-3 - -14))).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2\/3 - 80*i\/3 + 79\/3.\nAnswer: (i - 79)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1 + 0. Let j = -77.38 + 82.38. What is the nearest to k in -0.12, j, -1\/8?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.5, 4, 0, -2\/7, 430?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -223? (a) -5 (b) 3\/5 (c) -2\/7 (d) -5\/2 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1104 - 701?\nAnswer: -1805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 26177 (b) 0.2 (c) -40 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -12562*j - 4692*j - 207048 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 107.1278l in millilitres?\nAnswer: 107127.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 10050 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence frp when three letters picked without replacement from {j: 2, e: 2, f: 1, p: 6, r: 6, t: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = -905 + -295. Round k to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express p - 3 - 5*p - p + p - 11*p in the form x*p + t and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3559*t**2 + 5*t - 47599 wrt t.\nAnswer: -7118*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:26 AM and 6:43 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v - 1. Let h(g) = -g**3 + 5*g**2 + 2*g + 3. Let s(z) = -h(z) + 3*i(z). Give s(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 453, 1807, 4085, 7305, 11485, 16643, 22797?\n\"Answer: 3*x**3 + 444*x**2 + x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:20 AM and 11:04 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -51*x + 3. What is the tens digit of a(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(-17) - 94\/(-68). Let z = 0 + s. Suppose 1\/6 + z*t**2 - t = 0. Calculate t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**2 + 5*y + 4. Let t be a(0). Let q be t + 1\/(-2 + 1). Solve 0 = -g - 5*u - 20, 2*g - 4 = -q*u + 4*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1585136009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 90*u + 19 + 13 - 32.\nAnswer: 90*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -5*m, 266*m = -2*q + 271*m - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 645678 or 16141974\/25?\nAnswer: 645678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 16*o**2 - 5*o - 5. Let l(t) = -3*t**2 + t + 1. Determine -22*l(d) - 4*v(d).\nAnswer: 2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -17.96 - -18. Let z = y + 5.96. What is the second biggest value in 0.2, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -57038.6 times -2.2\nAnswer: 125484.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -1110010001110010001 (base 2) to base 3.\nAnswer: -212202210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(3) - sqrt(24)\/sqrt(8)) + 1 - (-3 + (sqrt(27)*-1 - sqrt(27))**2).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 2*g**2 - 178. Let p(y) = 2*y. Calculate i(p(o)).\nAnswer: 8*o**2 - 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is (-1 + 2)*(-2 - 163\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1175 + 1175.3. What is the fourth smallest value in -2\/3, -0.03, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*i - 3*s + 15, 20 = 4*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - p + 8 = 2*p, 3*r + 5*p = -8. Let m be 2*(4\/(-7))\/r. Which is the nearest to 1? (a) 2 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0017117 rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 38 a factor of 5221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 9*n + 11 - 16*n - 9 + 8*n. What is k(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 87168 divided by 681?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**2 + f - 4. Let s(c) be the third derivative of c**5\/30 - 5*c**3\/6 - 18*c**2 + c. What is 4*r(h) - 3*s(h)?\nAnswer: -2*h**2 + 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(-13)*p*p\/p**(4\/5))\/(p**(-1)\/(p\/p**(1\/26))) assuming p is positive.\nAnswer: p**(-1149\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (1\/(-1))\/((-1)\/27138) - (-181 - -174).\nAnswer: 5, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the second derivative of -5*g**4\/4 - 2*g**3\/3 + 2*g**2 - 5*g. Let f = -6 - -2. Let m be i(f). What is m rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((5*sqrt(228)\/sqrt(4))\/((sqrt(84)\/sqrt(4))\/sqrt(7)) - (2*sqrt(1539) - sqrt(38)\/(sqrt(4)\/sqrt(2)))*-5).\nAnswer: 270*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5\/4 in -84, -6\/17, 5, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -22\/39 - 1423\/312. Let v = 8495\/88 + -978\/11. Calculate the common denominator of n and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 402052366 to the nearest integer?\nAnswer: 20051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.1 (b) 7\/3 (c) -0.3 (d) -160 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -8? (a) 5 (b) -4 (c) -0.02 (d) 124.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1325421 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -8 + 0 + (-3 - 2) + 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 80a10 (base 12) to base 3.\nAnswer: 22111112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 849*z**4 - 5*z**3 + 15*z**2 - 10*z + 1143. Let v(q) = -424*q**4 + 2*q**3 - 6*q**2 + 4*q - 571. Let i(s) = -2*u(s) - 5*v(s). Differentiate i(a) wrt a.\nAnswer: 1688*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 2*s. Let q(i) = 2*i. Let t(a) = -a**2 + a - 1. Let r(z) = -6*z**2 + 2*z - 5. Let w(g) = r(g) - 5*t(g). Let d(f) = -6*q(f) - 4*w(f). What is j(d(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -74 - -42. Let h = -31.9999959 - q. Round h to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes after 6:47 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 62358 and 20.\nAnswer: 623580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the second derivative of -x**7\/1260 + x**4\/2 - 8*x. Let f(n) be the third derivative of c(n). Let d(s) = -7*s**2. Calculate f(d(h)).\nAnswer: -98*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -34, 210, 608, 1154, 1842, 2666, 3620, 4698?\n\"Answer: -f**3 + 83*f**2 + 2*f - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1362317020 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3282*o - 86*o**2 - 1116445 - 1576436 + 85*o**2 = 0. Calculate o.\nAnswer: -1641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (558\/27)\/(4\/(-78)). Let j = -360 - a. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 322668 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the second derivative of 0 - 1\/2*s**4 + 0*s**2 + 2*s - 1\/10*s**5 - 2\/3*s**3. Factor h(k).\nAnswer: -2*k*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(-5) + (-28)\/(-5). Let p be (-2)\/v + 40\/12. What is the first derivative of -4*k + 4 + p*k - 3 - 5 wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 216 divide 14269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -9290554?\nAnswer: -1\/4645277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 145 - 150 = 0. Which is smaller: 2\/18411 or x?\nAnswer: 2\/18411","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-6))\/((-6)\/24)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 36*h**2 + 960*h + 101. Does 10 divide t(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -119 + 115.8. Are 0.3 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by -72912?\nAnswer: -5\/72912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 + 6. Let n be ((-30)\/9)\/(h\/3). Suppose o + k = 8, 7 + 3 = -o + n*k. Sort -5, 0.3, o.\nAnswer: -5, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -6, -14, -5, -171?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20964 is divided by 198?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c = -y - 14 - 16, 10 = -2*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -12 + 9. Let y(h) = -h - 2. Let i be y(x). Let u be -1 - (i + -4 - -2). Put u, 1, -0.4 in decreasing order.\nAnswer: 1, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -7501073, -15002141, -22503203, -30004259, -37505309?\n\"Answer: 3*t**2 - 7501077*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -253 (base 16) to base 7.\nAnswer: -1510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8 - -63. Determine b, given that -a - 46*b**2 + 47 + 40*b + 6*b**3 - b**3 + 9*b**3 = 0.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4481 divided by -27106?\nAnswer: -4481\/27106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 271712 - 423?\nAnswer: 2712cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-110)\/(-44)*24\/10. Let b be (a\/(-20)*2)\/(2\/(-10)). Solve 2*x = 2*z - 14, -b*z + 2*x = x - 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 489*p = 12538 + 6044 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in 0.5, -2, -17, 226, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 + 3. Let k(o) = 2*o**2 + o**3 + 9 + 6*o - 9*o**2 - 4. Let v be k(6). Solve -4*m = -y - d - 1, -v*m - 2 = y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/1152 and 43\/3924.\nAnswer: 125568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*q**2 + 30790*q - 123080.\nAnswer: -5*(q - 6154)*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (10 - 9 + 10)*(-3*w + 8 + 5*w - w)*(w - 3*w - 2*w).\nAnswer: -44*w**2 - 352*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 452, 425, 398, 371?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.017 - 13.783. Let y = -13.6 - f. Sort y, 5\/3, -0.018 in descending order.\nAnswer: 5\/3, y, -0.018","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 11 and -16.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 933310 is divided by 311.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) 0.2 (b) -51 (c) 156 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -84.35 - -12. Let o = s - -82.8. Round o to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that 0 + 0*k + 2\/17*k**4 - 66\/17*k**3 + 0*k**2 = 0.\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -228*h = 169*h - 2708 + 326 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3875004595.\nAnswer: 5, 7, 11, 601, 16747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Product of 3289062 and -2.\nAnswer: -6578124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 49168.96 micrograms?\nAnswer: 49.16896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -40\/279 and -68\/21.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.187 - -81.413. Round f to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 4 + (1 + sqrt(448)*3 + sqrt(448))**2.\nAnswer: 64*sqrt(7) + 7175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -47 - -60. Suppose 275 = 2*w - 3*v, 2*v - 6 = -0*v. Let t = w + -51. What is the greatest common divisor of t and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3821 = -443*i - 720 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(121) - (sqrt(121) + 3*sqrt(121) + sqrt(121)) - sqrt(121)) + sqrt(121))\/sqrt(11) - (-3 + (-5*sqrt(11) - sqrt(11))).\nAnswer: 3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 804621 + 6617184 = 0. Suppose -756000 = 4*n + 5*t, -i = 5*n + t - 539361. Round n to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes after 2:08 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -544*t + 2176. Let x be m(4). Let i(j) be the first derivative of 13\/5*j**5 + 0*j**2 + 2*j - 15 + x*j**4 + 0*j**3. Differentiate i(r) wrt r.\nAnswer: 52*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1514465328.\nAnswer: 2, 3, 31551361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -42954.4 - -42954.9. Let s = -1.7 + 2. Let r be (6\/(-9))\/((-5)\/(-3)). Which is the closest to r? (a) t (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*n - 65*n - 26*n + 137*n - 27*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 9172878 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 410004 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h - v + 3*v - 38, 2*h - 5*v - 10 = 0. Suppose -183 = -4*q + w, 4*q - 7*w + 3*w - 192 = 0. What is the greatest common factor of q and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 232 divided by -126.\nAnswer: -116\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.6634908 to 3 decimal places.\nAnswer: -0.663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l be (9 - (-496)\/(-64))\/(5\/8). Let q(c) be the second derivative of 0*c**l + 1\/3*c**3 + 0 + 14*c. Let z(i) = 7*i**2. Calculate z(q(d)).\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1633 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the third derivative of -5*w**4\/24 + 23*w**3\/6 - 12*w**2. Let h be g(4). Solve -2*j + h*c + 19 = 7, -c = -j + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -4 - (2 + (-14)\/2). Let z(y) = 6*y**3 + 5*y**2 + 2*y - 4. Let w(o) = -o**3 - o**2 + 1. Give j*z(v) + 5*w(v).\nAnswer: v**3 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 676912088?\nAnswer: 2, 19, 953, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from vlogaln.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -2*z**2 + z + 7. Let s(v) = 8*v**2 - 4*v - 27. Calculate 9*b(a) + 2*s(a).\nAnswer: -2*a**2 + a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*a + 25*a = 34*a - 160. Solve y + j = 0, 51 = a*y + 3*j + 55 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**36*a*a**(-1\/59)*a)\/(a\/a**(-6)*a\/(a*a**34\/a)) assuming a is positive.\nAnswer: a**(3775\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 36, -760, -2924, -7140, -14092, -24464?\nAnswer: -38940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (364\/(-3276))\/((-3)\/((-243)\/(-12))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c + 3*c - 6*c)*(1 - 2*c - 1) + 1596711*c**2 - 137*c - 129*c - 1596710*c**2 + 0 + 2*c**2 + 0.\nAnswer: 5*c**2 - 266*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -19*l - 14*l + 19*l - 11*l**2 + 356*l**4 + 15*l wrt l?\nAnswer: 8544*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:40 PM and 1:51 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 858 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -0.040822+173620\nAnswer: 173619.959178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 + 8 + a)*(-403*a - 45*a + 97*a).\nAnswer: -351*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d - 3*d - 6*d)*(1 + 0 - 2) - 5*d + 4*d - d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 62 + m**2 + 7*m + 6*m + 5*m. Suppose -2*i - 44 = 2*k, 9*i + 104 = -5*k + 6*i. What are the prime factors of y(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 6*k - 5*b = 190, -3*b = 2*k - 61. Suppose -j + 6 = -3*j - 4*s, 0 = 3*s + 3. Sort j, -4, k in increasing order.\nAnswer: -4, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3 (b) 582 (c) 0 (d) 2\/7 (e) -4 (f) 448 (g) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -23 + 25. Suppose 3*y + 5 - q = 3*n, n - 9 = -y. Solve y*c = -c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -v**2\/5 + 2591*v\/5 - 790014\/5.\nAnswer: -(v - 2238)*(v - 353)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 5*s - 176. Let h be a(34). Let w(t) = -t**2 - 4*t + 3. Give w(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1679008416?\nAnswer: 2, 3, 19, 920509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7*k - 28*k - 2*k + 161 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 974985729736 + -29.7.\nAnswer: 974985729706.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 173603 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: b\"What is the nth term of -11, -38, -79, -140, -227, -346, -503, -704?\n\"Answer: -n**3 - n**2 - 17*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 - 1 - 6)*(1 - 5 - 1) + (-3 + 2 + 3)*(3 - 5 + 1) - 3 + 1 + 3)*(-f**4 + 0*f**4 - 2*f**4).\nAnswer: -72*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 50415, 50417, 50421, 50427, 50435?\n\"Answer: d**2 - d + 50415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be (1220\/976)\/((-445)\/(-424)). Is l >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -500*b + 1552. Let o be c(3). Sort 0, 43, o in ascending order.\nAnswer: 0, 43, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -15 - -5. Let o(x) = 2*x + 24. Let m be o(i). Suppose 5*k + 12 = -3*a + 2*a, -m*k = a + 9. Solve 0 = a*d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 5*l**3 - 16*l**2 - 26*l - 11. Let h(i) = 10*i**3 - 6*i**3 + 5*i + 3*i**2 - 5*i**3 + 2. Give -11*h(u) - 2*p(u).\nAnswer: u**3 - u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 3*n + 7 - 10 - 6. Let u be d(6). Let f be 42*3\/(u\/15). What is f rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 3*x**2 - 3*x - 17. Let i(a) = -2*a**2 + 2*a + 11. Let g(t) = -8*i(t) - 5*r(t). List the prime factors of g(-7).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 4*w = -0 - 24, 0 = 3*p + 2*w - 15. Solve -18 = -9*k + 4*k + t, -p*k - 3*t = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1179 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 27100521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 1398.20441 to 0 decimal places.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 29 + -24. Solve a - 2*a + 3*j = -m, 10 = -a - 2*j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 10645308, 10645298, 10645284, 10645266, 10645244, 10645218, 10645188?\n\"Answer: -2*z**2 - 4*z + 10645314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) 1\/4 (b) -2\/7 (c) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -150 or -148?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7444500\/11 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}